thirty-five maths majors, 33 music majors, and 45 history majors are randomly selected from 251 math majors, 518 music majors 332 history majors at the state university

identify the type of sampling (simple random sample, cluster, stratified, convenience, systematic

Answers

Answer 1
The best answer would be stratified sampling.

It would not be random sample because it is talking about majors in at a state university. The purpose of a random sample to get random people from the whole population, not a specific set of people.

It would not be cluster because a cluster would be selecting a whole group and in this case, they are selecting people within groups

It would be stratified because stratified sampling is selecting randomly from all of the groups

It would not be convenience sampling because that is selecting random from 1 population

It would not be systematic sampling because that is not random.
Answer 2
Final answer:

The scenarios provided represent different types of sampling methods, such as stratified, cluster, simple random, and systematic, based on how the samples are selected from the population.

Explanation:

The type of sampling can be determined based on how the samples are chosen from the population. Here, we discuss different sampling methods using the provided scenarios.

Stratified sampling is used when the soccer coach selects players from different age groups to form a team. Each age group is a stratum.Cluster sampling takes place when a pollster interviews all human resource personnel in a few high tech companies. Each company is a cluster.When a high school educational researcher interviews an equal number of female and male teachers, this is an example of stratified sampling as well.The high school principal who polls an equal number of students from each grade level utilizes stratified sampling.A sample of high school students chosen by first organizing by class and then selecting an equal number from each also exemplifies stratified sampling.If a completely random method is used to select students giving each one the same chance of being chosen, this represents simple random sampling.When selecting a sample proportionate to class standings in a college, and drawing from each class based on their representation in the total population, stratified sampling is again used.Using a random number generator to select every 50th student from an alphabetical list represents systematic sampling.

Related Questions

Oil is leaking from a damaged shipping vessel stranded at sea.
The captain estimates that the costs, C, in millions of dollars, to clean a t ton oil spill can be modeled by the function C(t)=1.5t+2,
The amount of oil, S, in tons, that has been spilled in d days is given by the function S(d)=355d.
Find an explicit expression that models the costs of cleaning up a d day oil spill.

Answers

Answer:

The explicit formula that will be used to find the cost of cleaning up d day oil spill is:

                  [tex]CoS(d)=532.5d+2[/tex]

Step-by-step explanation:

The amount of oil, S, in tons, that has been spilled in d days is given by the function:

             S(d)=355d.

The cost to clean a t ton oil spill can be modeled by the function:

                       C(t)=1.5t+2

This means that the cost to clean in d days is given  by the composition function:    

 [tex]CoS(d)=C(S(d))\\\\\\i.e.\\\\\\CoS(d)=C(355d)\\\\\\i.e.\\\\\\CoS(d)=1.5(355d)+2\\\\\\i.e.\\\\\\CoS(d)=532.5d+2[/tex]        

A 5-day spill would cost approximately 2664.5 million dollars to clean up.

Cost of Cleaning Up an Oil Spill

To find an explicit expression that models the costs of cleaning up a d day oil spill, we need to connect the functions C(t) and S(d).

The cost function is given by:

C(t) = 1.5t + 2

The amount of oil spilled over d days is given by:

S(d) = 355d

First, substitute S(d) into the cost function where t represents the amount of oil spilled:

C(S(d)) = 1.5(355d) + 2

Simplify the expression:

C(d) = 532.5d + 2

Therefore, the explicit expression that models the costs of cleaning up a d day oil spill is C(d) = 532.5d + 2 (in millions of dollars).

Example

If the oil leakage lasts for 5 days, then the cost can be calculated as:

C(5) = 532.5(5) + 2 = 2662.5 + 2 = 2664.5 million dollars.

This shows the significant financial impact of prolonged oil spillage.

A study by economist Mark Cohen highlights the economic benefits of preventing oil spills, making more stringent environmental protection justified.

what does it mean by “what is the unit rate?” what is a unit rate?

Answers

Answer:

A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Common examples of "unit rate" follow:

miles per hour (mph).  How many miles are covered in 1 hour of driving?

25 cents/pen:  each pen costs 25 cents each.

Suppose I know I can pack 1/4 box in 20 minutes.  How many boxes can I pack in 1 hour?  That would be a unit rate.  To find it, write out the ratio

1/4 box                                                                                 60 min

-------------   and multiply this by the conversion factor    ---------------

 20 min                                                                                  1 hour

... which results in  3/4 box per hour (a unit rate)

Adding and subtracting matrices

Answers

We can only sum matrices with equal order, so we can't sum matrices A and B in the first exercise.

As for the second exercise, we have:

FalseTrueTrueTrueTrueFalse

All of these answers depend on the fact that the sum/difference of two matrices is simply the sum/difference of the correspondent elements. So, if the element in the i-th row and the j-th column of A is [tex]a_{ij}[/tex] and the element in the i-th row and the j-th column of B is [tex]b_{ij}[/tex], we have

[tex]C=A+B\implies c_{ij} = a_{ij}+b_{ij}[/tex]

So, the sum between matrices inherits the properties of the sum between numbers: the order matters when you subtract (which is why a and f are false), the sum is commutative (which is why b, c, d are true) and associative (which is why e is true).

Final answer:

Subtracting vectors is akin to adding their opposites, and the operations are commutative and associative. Graphically, vector subtraction involves reversing a vector's direction before adding. Straight-line vector addition or subtraction simply depends on magnitudes and directions.

Explanation:

When dealing with adding and subtracting matrices or vector addition and subtraction, it's important to understand that these operations have straightforward rules. In particular, subtracting vectors can be interpreted as adding vectors in the opposite direction - this is analogous to scalar subtraction, such as how 5 - 2 can be thought of as 5 + (-2). Graphically, this means that when subtracting vectors, you essentially reverse the direction of the vector being subtracted and then perform vector addition as you would normally.

Mathematically, the vector addition is associative and commutative, and these properties extend to matrix addition as well. Likewise, multiplying vectors or matrices by scalars follows the distributive property. In a practical sense, when vectors are aligned on a straight line, adding or subtracting them is simplified since you only need to consider their magnitudes and directions along that line.

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Put brackets in the following statement to make it true.

4+3x7-1=42​

Answers

Answer:

(4+3)x(7-1)=42

The correct position of the brackets is [tex](4+3)*(7-1)=42[/tex].

The given equation is:

               [tex]4+3*7-1=42[/tex]

          ⇒[tex](4+3)*(7-1)=42[/tex]

Let us consider LHS,

[tex](4+3)*(7-1)[/tex]

[tex]=7*(7-1)[/tex]

[tex]=7*6[/tex]

[tex]=42[/tex]

[tex]=RHS[/tex]

Hence, the above position of the bracket in the given statement is making it true.

Therefore, the correct position of the bracket is [tex](4+3)*(7-1)=42[/tex].

What is the bracket?

Brackets, in math, are a set of marks like parentheses that are used to enclose a set of terms. These terms may be within an algebraic expression, and in this case, the brackets are used to separate terms and denote the order of operations.

What do the [] brackets mean?

Square brackets (also called brackets, especially in American English) are mainly used to enclose words added by someone other than the original writer or speaker, typically in order to clarify the situation: He [the police officer] can't prove they did it.

What is a bracket symbol?

Different symbols like these: (, ), [, ], {, and } in your math books. These symbols are called brackets. Brackets in mathematics serve a very important purpose; these symbols help us group different expressions or numbers together.

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HELP ME PLS & FAST
If a coin is flipped and then a six-sided number cube is rolled, what is the probability that the outcome will be Heads and a 2?

A. 1/12
B. 12%

Answers

The heads probability is ½ and the two’s probability is 1/6. So ½ x 1/6 gives you 1/12. The answer is A. 1/12. Hope this helps.

Answer:

A. 1/12

Step-by-step explanation:

There are 2 outcomes for a coin, heads and tails.

To get heads, it's 1/2.

There are 6 outcomes for a six-sided number cube, 1,2,3,4,5,6.

To get a 2, and since there is only one 2, it's 1/6.

Multiply them together, 1/2 times 1/6, you get 1/12.

Find the fifth term in the sequence
that is defined as follows:
an = n/n+1

Answers

Answer:

5/6

Step-by-step explanation:

Just plug in five where n is.

In this case, it would be:

5/(5+1) or 5/6

Juanita gets paid for every apron she embroiders. Last week she earned $185. If she earns $2.50 for each embroidered piece, how many aprons did she embroider last week?

Answers

Answer:74

Step-by-step explanation:

Answer: 74

Step-by-step explanation:

185 divided by 2.50 is 74.

What is the area of a circle with a radius of 6 inches?

Answers

Answer:

36

Step-by-step explanation:

Answer:

The correct answer is area of given circle = 36π inches²

Step-by-step explanation:

Formula:-

Area of circle = πr²

Where r is the radius of circle

To find the area of circle

Here radius r = 6 inches

Area = πr²

 = π * 6²

 = 36π inches²

Therefore area of  a circle with a radius of 6 inches = 36π inches²

There are 27 questions on an algebra test. All of the questions are multiple choice or constructed response. The number of constructed response questions on the test is six less the ten times the number of multiple choice questions. How many of each.

Answers

Solve using system of equations.
y=number of constructed response questions
x=number of multiple choice questions
x+y=27
y=10x-6
Replace y for 10x-6 in the first equation
x+(10x-6)=27
Simplify.
11x=33
x=3
Substitute 3 for x in any equation to get y=24
there are 3 multiple choice and 24 constructed response questions.

Select the statement that could be true for g

Answers

Answer:

I would say d bit I'm not 100% sure

Choice A. It is the only answer that makes sense.

Chad left his house to go on a road trip. He drove due north at 60 mph for the first two hours of the trip, and then drove due east at 50 mph for the next hour. After those three hours of driving, approximately how far was Chad from his house?
A
78 mi
B
130 mi
C
156 mi
D
170 mi

Answers

Answer: C: 156 mi

Step-by-step explanation:

Driving north then east or west is 90 degrees rotation internally. Distance of Chad from his home to his final location is Option B: 130 mi

The Pythagoras theorem:

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

What is a right angled triangle?

A right angled triangle is a triangle having one of its angle with measure of 90 degrees.

The slant side of that triangle is called Hypotenuse and it is the longest side in that triangle.

Referring to the diagram attached below, as Chad moved from north driving to east driving, thus, he made a 90 degrees angle internally as perpendiculars are with 90 degrees. Then joining his first and final position, we get a right angled triangle. Thus,

Distance of Chad from final point to his home = length of AC = |AC|

Measuring length of AB:

A is the starting point of Chad. His speed was 60 mph for the first travel in the north direction. He traveled 2 hours. Since each hour he travels 60 miles(from his speed), and he spent 2 hours so 60 + 60 = 120 miles covered.

Thus, |AB| = distance traveled in north direction is 120 miles.

Measuring length of BC:

Similarly, as he traveled in east for 1 hour with speed 50 mph, thus, he traveled 50 miles. Thus,

Length of BC = |BC| = 50 miles.


His distance from his home A to his final position C is calculated as follows.

Using Pythagoras theorem, we get:

[tex]|AC|^2 = |AB|^2 + |BC|^2\\|AC| = \sqrt{120^2 + 50^2} = \sqrt{16900} = 130 \: \rm miles\\\\[/tex]

(we took positive root since |AC| is length's measure., which is a non-negative quantity)

Thus,

Distance of Chad from his home to his final location is Option B: 130 mi

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Your basketball team made 10 three-pointers, 8 two-point field goals, and 12 one-point foul shots.
Your opponents made 8 three-pointers, 12 two-point field goals, 11 one-point foul shots. Who Won?
By how many points did they win?​

Answers

Answer:

your opponent won by 1

Step-by-step explanation:

you made 58

your opponent made 59

Final answer:

Using the formula for calculating total points, we find out that the opponents won the basketball match by 1 point.

Explanation:

To find out who won the basketball match, we need to calculate the total points each team made. The formula to calculate total points is: (Number of 3-pointers * 3) + (Number of 2-point field goals * 2) + (Number of 1-point foul shots).

For your team: (10 * 3) + (8 * 2) + 12 = 30 + 16 + 12 = 58 points

For the opponents: (8 * 3) + (12 * 2) + 11 = 24 + 24 + 11 = 59 points

So, the opponents won the game. To find out by how many points they won, subtract the total points your team made from the opponents' total points: 59 - 58 = 1. Thus, the opponents won by 1 point.

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PLEASE HELP!! BRAINLIEST OFFERED! IF CORRECT!! THANKS!!

Answers

Answer:

Step-by-step explanation: its b

Your answer is 72!

First, you'd have to decompose the shape. The way I decomposed it was by splitting the shape into a small rectangle and a large one. The formula for the rectangles is 6 times 3 and 6 by 9. You multiply 6 by 3 and get 18; then you multiply  6 by 9 and get 54. Lastly, you simply add 18 and 54. This gives you an answer; 72.

Karl used 2 inch by 2 inch square tile to cover a 14 inch by 12 inch piece of cardboard. Each tile weighs 3 ounces. What is the combined weight of the tiles Karl used to cover the piece of cardboard?

Answers

First, we need to find the area of both the tile and cardboard, so we can calculate how much tile will fit in the cardboard

Final answer:

Karl used a total of 42 square tiles to cover the piece of cardboard, with each tile weighing 3 ounces. Therefore, the combined weight of all the tiles is 126 ounces.

Explanation:

Karl used 2 inch by 2 inch square tiles to cover a 14 inch by 12 inch piece of cardboard. To find out how many tiles he used, we need to calculate the area of the cardboard and divide it by the area of a single tile. The area of the cardboard is 14 inches * 12 inches = 168 square inches. The area of one tile is 2 inches * 2 inches = 4 square inches. So, the number of tiles used is 168 divided by 4, which equals 42 tiles.

Now that we know Karl used 42 tiles, and each tile weighs 3 ounces, we can find the combined weight. The combined weight is 42 tiles * 3 ounces per tile = 126 ounces.

Please help right away

Answers

Answer:

100

Step-by-step explanation:

Mixed candy question... Skittles jar... to be filled with Jelly beans.

Let's first calculate the volume of the jar.  We'll assume it's a regular cylindrical prism jar, unlike the one on the photo which is narrower on top.

V = π * r² * h = π * (3.5)² * 11.5 = 140.875 π = 442.6 cubic cm

Now, we don't have the precise measurement of a jelly bean, but we know it's roughly 2-3 cubic cm.  The precision isn't needed to answer this question, just to have a rough idea... it's no 300 cu cm per jelly bean.

So, let's assume a 3 cu cm per jelly bean (2 cu cm wouldn't the final answer)....

442.6 / 3 = 147.5 jelly beans, approximately.

So, can they fit 100,000?  No

Can we fit 10,000 in there?  No

Can we fit 100?  Yes.

Can we fit 1?  Certainly

The most reasonable lower-limit would then be 100.

What’s the difference in feet between 130 yards and 120 meters

Answers

Answer:

130 yards equals 118. 8 meters and 120 meters equals 131 .2 yards so not only are they different measurement types but they also do not equal the same.

Step-by-step explanation:

Follow below steps:

To find the difference in feet between 130 yards and 120 meters:

Convert 130 yards to feet: 130 yards x 3 feet/yard = 390 feet

Convert 120 meters to feet: 120 meters x 3.281 feet/meter = 393.72 feet

Difference in feet = 393.72 feet - 390 feet = 3.72 feet

A motorist traveled 6km in 30 mins
Find
What speed did he traveled?
How many kilometers could he traveled in 2 hrs at this speed?
How long would he take to travel 9km at this speed?​

Answers

6km in 30 min so he traveled at a speed of 12km per hour;

In 2 hours he will travel 24km;

12km in 60 min

9km in ? min

?=9x60/12=45 minutes will take to travel 9 km at the speed of 12km/h

Answer:

12km/h.

Step-by-step explanation:

f(x)=x2+5x-4 has a domain D={-4,-2,0,3,5} find the range (f(x)) value for each x value in the domain

Answers

Answer:

The range here is the set {8, -10, -4, 20, 32}.

Step-by-step explanation:

Please use " ^ " to denote exponentiation.  Thanks.   f(x)=x^2 + 5x - 4

f(-4)=(-4)^2 + 5(-4) - 4  =  8

f(-2)=(-2)^2 + 5(-1) - 4   = -10

f(0)=0^2 + 5(0) - 4 = -4

f(3) =3^2 + 5(3) - 4      =   20

f(4)=4^2 + 5(4) - 4       = 32

In this problem we have to calculate the actual function values for the given domain (input values).  The range here is the set {8, -10, -4, 20, 32}.

Simplify
(C/3)^2

A: c^2/3
B: c^2/9
C:c/9
D:9c^2

Answers

Answer:

B:  c²/9

Step-by-step explanation:

                                    c²

(c/3)² is the same as ------'

                                     9

Answer:

B. c^2/9

Step-by-step explanation:

[tex]\text{Use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\\left(\dfrac{c}{3}\right)^2=\dfrac{c^2}{3^2}=\dfrac{c^2}{9}[/tex]

What is the difference between a Bimodal Histogram and a Symmetric Histogram?

Answers

A binomial histogram has two values or data ranges that appear most often in the data, which eventually the data turns into a bell shaped curve whereas a symmetric histogram has the same shape on either side of the middle.
Final answer:

The main difference is that a Bimodal Histogram has two peaks representing the most frequent data values, whereas a Symmetric Histogram has one peak and its data is evenly distributed around a central value. In a symmetric histogram, mean, median, and mode coincide, unlike in a bimodal distribution, where the modes are different from the mean and median.

Explanation:

The difference between a Bimodal Histogram and a Symmetric Histogram relates to the distribution of data within the histogram.

A Bimodal Histogram has two distinct peaks or modes, indicating two prevalent data values within the dataset.

In contrast, a Symmetric Histogram is characterized by a single peak, with the data points arranged evenly around a central value such that it creates a mirror image on either side of the peak.

Symmetric histograms often indicate that the mean, median, and mode of the dataset coincide at the center of the distribution.

However, in a symmetric distribution with bimodality, the modes will differ from the mean and median.

When data is skewed to the left or right, it is not symmetric, and the mean, median, and mode do not align, with the mean being pulled towards the tail of the distribution in skewed datasets.

To visualize these concepts, one may create a histogram by plotting the frequency of data points against specified ranges.

Bimodal histograms will show two high-frequency areas, while symmetric histograms will show a single, central peak, indicating where the bulk of the data lies.

A train, 200 m long, travelled through a tunnel at an average speed of 20m/s. The whole train took 2 min 30 sec to pass through the tunnel completely. Find the length of the tunnel in kilometres?

Answers

[tex]

l_t=200m \\

s=20\frac{m}{s} \\

t=2\times60+30=150s \\

l=? \\

s=\frac{l}{t}\Longrightarrow l=st \\

l=20\frac{m}{s}\times150s=3000m=\boxed{3km}

[/tex]

The length of the tunnel is 2.8 kilometers.

Let's first convert the time taken to pass through the tunnel from minutes and seconds to seconds only.

2 minutes is equal to 2 * 60 = 120 seconds.

Adding the 30 seconds, the total time is 120 + 30 = 150 seconds.

We can calculate the speed of the train in meters per second using the formula:

Speed = Distance / Time

Given that the average speed of the train is 20 m/s, we can set up the equation as:

20 = (200 + L) / 150

Where L is the length of the tunnel in meters.

To find the length of the tunnel, we can solve this equation for L.

Multiplying both sides of the equation by 150, we get:

150 * 20 = 200 + L

3000 = 200 + L

Subtracting 200 from both sides, we have:

L = 3000 - 200

L = 2800 meters

Finally, to convert the length of the tunnel from meters to kilometers, we divide by 1000:

Length of the tunnel = 2800 / 1000 = 2.8 kilometers.

Therefore, the length of the tunnel is 2.8 kilometers.

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which trinomial is the product of the expression below? (3x+2)(2x-3)

A. 6x^2-13x-6

B. 6x^2+5x-6

C. 6x^2-5x-6

D. 6x^2+13x-6

Answers

Answer:

C

Step-by-step explanation:

Expand the factors to obtain the product.

Each term in the second factor is multiplied by each term in the first factor

(3x + 2)(2x - 3)

= 3x(2x - 3) + 2(2x - 3) ← distribute both parenthesis

= 6x² - 9x + 4x - 6 ← collect like terms

= 6x² - 5x - 6 → C

Heidi has 6 pounds of tomatoes from her garden. She used 3/4 of all the tomatoes to make sauce and gave 2/3 of the rest of the tomatoes to her neighbor. How much ounces of tomatoes did Heidi give her neighbor?

Answers

Answer:

She gives 16 ounces to her neighbor

Step-by-step explanation:

How much did you use to make sauce

6 * 3/4 = 18/4 =9/2 = 4.5  lbs

That leaves 6-4.5 = 1.5 lbs

She give 2/3 of this to her neighbor

1.5 * 2/3

Changing the decimal to a fraction

3/2 * 2/3 = 1

She gives 1  pound to her neighbor, but we want it in ounces

16 ounces equals 1 pound

She gives 16 ounces to her neighbor

I need to find the measure of each angle indicated please help

Answers

We shall use the mnemonics SOH-CAH-TOA to find the missing angles.

SOH- means sine ratio is [tex]\frac{Opposite}{Hypotenuse}[/tex]

CAH- means cosine ratio is [tex]\frac{Adjacent}{Hypotenuse}[/tex]

TOA- means tangent ratio is [tex]\frac{Opposite}{Adjacent}[/tex]

11) From the given right-angle triangle,the side length adjacent to [tex]\theta[/tex] is 11 units.

The opposite side  is 8 units.

We use the tangent ratio to obtain:

[tex]\tan \theta=\frac{8}{11}[/tex]

[tex]\theta=\tan ^{-1}(\frac{8}{11})[/tex]

[tex]\theta=36.0\degree[/tex] to the nearest tenth.

12) From the given right-angle triangle,the side length adjacent to [tex]\theta[/tex] is 7 units.

The opposite side  is 13 units.

We use the tangent ratio to obtain:

[tex]\tan \theta=\frac{13}{7}[/tex]

[tex]\theta=\tan ^{-1}(\frac{13}{7})[/tex]

[tex]\theta=61.7\degree[/tex] to the nearest tenth.

13) From the given right-angle triangle,the side length adjacent to [tex]\theta[/tex] is 8 units.

The opposite side  is 11 units.

We use the tangent ratio to obtain:

[tex]\tan \theta=\frac{11}{8}[/tex]

[tex]\theta=\tan ^{-1}(\frac{11}{8})[/tex]

[tex]\theta=54.0\degree[/tex] to the nearest tenth.

14. This time we were given the hypotenuse to be 9.7 units and the opposite side of the right-angle triangle is 7 units.

We use the sine ratio to obtain:

[tex]\sin \theta=\frac{7}{9.7}[/tex]

[tex]\implies \sin \theta=\frac{70}{97}[/tex]

[tex]\implies \sin \theta=\frac{70}{97}[/tex]

[tex]\implies \theta=\sin^{-1}(\frac{70}{97})[/tex]

[tex]\implies \theta=46.2\degree[/tex]

15. For question 15; we the hypotenuse to be 7 units and the adjacent side is 4 units.

We use the cosine ratio to get;

[tex]\cos \theta=\frac{4}{7}[/tex]

[tex]\implies \theta=\cos^{-1}(\frac{4}{7})[/tex]

[tex]\implies \theta=55.2\degree[/tex] to the nearest tenth.

16) From the given right-angle triangle,the side length adjacent to [tex]\theta[/tex] is 13 units.

The opposite side  is 12 units.

We use the tangent ratio to obtain:

[tex]\tan \theta=\frac{12}{13}[/tex]

[tex]\theta=\tan ^{-1}(\frac{12}{13})[/tex]

[tex]\theta=42.7\degree[/tex] to the nearest tenth.

Which table represents a linear function ?

Answers

Answer:

the last one

Linear functions are straight lines. The first two go up and down when graphing and the third one is an exponential.

Answer:

D.

Step-by-step explanation:

The measure of angle O is 110°. what is the angle of r and p?

Answers

Answer:

Choice D for Angle R

70 degrees for Angle P

Step-by-step explanation:

Google "central angles and inscribed angles geometry" for an explanation.

It's actually a poorly worded question.

79° for angle P
125° for angle R

A ferry is carrying 600 vehicles, including trucks and passenger vehicles. The fees collected total $29,200. The charge per Truck is $100. The charge per passenger vehicle is $45. How many trucks and how many passenger vehicles is the ferry carrying? ​

Answers

Let m be the no of trucks and n be the no of passenger vehicles...

Then m + n = 600

and 100m + 45n = 29200

Multiplying 1st equation by 45, we have 45m+45n=27000

then subtracting from 2nd eqn we have, 55m = 2200 that is m=40.Then n=560

So we have 40 trucks and 560 passenger vehicle

How do defined terms and undefined terms relate to each other?
UNDEFINED terms can be combined to define other terms. DEFINED terms can be combined with each other and with undefined terms to define still more terms.

Answers

Defined and undefined terms in mathematics work together to create precise definitions and relationships.

Defined terms in mathematics have clear, specific meanings established within a system, while undefined terms are fundamental concepts that are not formally defined. Defined terms can be combined with undefined terms to create more complex definitions and relationships.

Use synthetic substitution to find g(4) and g(–5) for the function g(x) = 3x4 – 5x2 + 7x – 7.

Answers

Answer:

Step-by-step explanation:

We write only the coefficients of the given equation inside the upside down symbol of division.

We first do synthetic substitution and then verify the result by putting g(4) and g(-5) in the original equation. Both should have the same result.

The questions are solved on the image attached.

Answer:

709, 1,708

Step-by-step explanation:

Plsssss help !!!!!! At certain traffic light 10% of the cars passed through have four wheel drive what percentage do not have four wheel drive? Apex

Answers

Answer:

90%

Step-by-step explanation:

If you are going to find out the percent of the car that do not have 4 wheel drive, you take the total amount of car that passed though the stoplight which is 100% . You take this 100% and then subtract the 10% to get the final answer 90%. 90% of the cars do not have 4 wheel drive.

To find the percentage of cars without four-wheel drive, subtract the percentage of cars with four-wheel drive from the total. Since 10% of cars have four-wheel drive, 90% do not.

If 10% of the cars have four-wheel drive, then the percentage of cars without four-wheel drive is the remainder when the total percentage (100%) is reduced by the percentage of those that do have four-wheel drive.

To calculate this, we subtract the percentage of cars with four-wheel drive from the total percentage:

100% - 10% = 90%

Therefore, 90% of the cars do not have four-wheel drive.

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