Will someone please help me solve this !!

Will Someone Please Help Me Solve This !!

Answers

Answer 1

Answer:

∠H= 109º

∠F = 71º

∠G = 109º

Step-by-step explanation:

∠I = 71º

Interior opposite angles of parallel lines sums up to 180º.

∠H = 180 - 71 = 109º

Line IH is equal to Line FG.

∠F = ∠I

∠F = 71º

∠G = ∠H

∠G = 109º


Related Questions

Today, a factory inspector found flaws in 2 out of 16 wooden boxes. If the inspector checks 24 boxes tomorrow, predict how many of the boxes will be flawed.

Answers

Answer:

3 boxes

Step-by-step explanation:

2 out of 16 boxes are flawed. So the unit rate is

[tex]\frac{2}{16}=\frac{1}{8}[/tex]

Now, to find number of flawed boxes is 24 checkings, we need to multiply the unit rate (1/8) by 24. So:

[tex]\frac{1}{8}*24=3[/tex]

The answer is 3

Answer:

Trust me the answer is 3

Step-by-step explanation:

Also please give me some Hearts

how to find the derivative of xy = In (x² + y ² )? please show all workings and simplify!


the answer is supposed to be yx^2+y^3 -2x / 2y - x^3-xy^2

Answers

Answer:

Step-by-step explanation:

Keep in mind that the derivative of ln(u) = u'/u.  Here, our u is x^2 + y^2, so the derivative of that will fit in for u'.  Let's do this step by step:

[tex]xy=ln(x^2+y^2)[/tex]

Working on the left first, using the product rule, the derivative (implicite, of course!) is:

[tex]x\frac{dy}{dx}+1y=ln(x^2+y^2)[/tex]

Now we will work on the right side, keeping in mind the rule above for derivatives of natural logs:

[tex]x\frac{dy}{dx}+1y=\frac{2x+2y\frac{dy}{dx} }{x^2+y^2}[/tex]

Now we are going to get rid of the donominator on the right by multiplication on both sides:

[tex](x^2+y^2)(x\frac{dy}{dx}+1y)=2x+2y\frac{dy}{dx}[/tex]

Distribute on the left to get

[tex]x^3\frac{dy}{dx}+x^2y+xy^2\frac{dy}{dx}+y^3=2x+2y\frac{dy}{dx}[/tex]

Now collect all the terms with dy/dx in them on one side and everything else goes on the other side:

[tex]x^3\frac{dy}{dx}+xy^2\frac{dy}{dx}-2y\frac{dy}{dx}=2x-x^2y-y^3[/tex]

Factor out the common dy/dx:

[tex]\frac{dy}{dx}(x^3+xy^2-2y)=2x-x^2y-y^3[/tex]

and divide on the left to isolate the dy/dx:

[tex]\frac{dy}{dx}=\frac{2x-x^2y-y^3}{x^3+xy^2-2y}[/tex]

And there you go!

A high-speed train travels 25 feet in 1/3 second. In 4 seconds, the train will have traveled __?__ feet

Answers

Answer: 300 feet

Step 1: Get to 1

The biggest challenge in this problem is that it includes a fraction.

So, we can make this question easier by figuring out how many feet this train travels in 1 second.

If we know how far it traveled in 1 second, then we can quickly figure out how far it goes in 4 seconds.

Since the train travels 25 feet in 1/3 of a second, then it must travel 3 times that far in 1 second:  

25 feet x 3 = 75

We now know that this train must travel 75 feet in 1 second. Now we can solve for 4 seconds quite simply.

Step 2: Extrapolate

If the train travels 75 feet in 1 second, then how far will it travel in 4 seconds? We need to multiply 75 by 4 to get our answer:

75 x 4 = 300 feet

A high-speed train travels 25 feet in 1/3 second. In 4 seconds, the train will have traveled 300 feet

In question, the distance traveled by a high-speed train in 1/3 seconds is 25 feet.

How much distance is traveled in one second?

Therefore, If a train travels 25 feet in 1/3 second, then it must travel 3 times the distance in 1 whole second.

That means,

25*3 = 75 feet

How much distance is traveled in four seconds?

If a train travels 75 feet in 1 second, then the distance traveled in 4 seconds is;

75*4 = 300 feet

Hence, in 4 seconds, the train will have traveled 300 feet

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Will mark Brainliest. Given ƒ(x) = 3x - 1 and g(x)= -x + 6, find ƒ(-2) + g(5).

A.) -6
B.) 6
C.) 8

Answers

1. Plug in " -2 " into f

f(-2) = 3 (-2) - 1

f(-2) = -6 - 1

f(-2) = -7

2. Plug in "5" into g

g(5) = -(5) + 6

g(5) = -5 + 6 = 1

3. Add what you got when you solved for f(-2) and g(5) together

f(-2) + g(5) = ?

f(-2) + g(5) = -7 + 1

f(-2) + g(5) = -6

Your answer is A

Don't forget to vote brainliest! I hope I helped! :)

F(x)= 3x -1

G(x)= -x + 6

F(-2) + g(5)= ?

F(-2)= 3(-2) -1

F(-2)= -6 -1

F(-2)= -7

G(5)= -5 + 6

G(5)= 1

F(-2) + g(5) =

-7 + 1 = -6

A) -6


ΔABC is similar to ΔMNO. The scale factor of ΔABC to ΔMNO is 3⁄2. What's the length of NO?



A. 4 units
B. 1 unit
C. 3⁄2 units
D. 6 units

Answers

Answer:

a

Step-by-step explanation:

Final answer:

When two triangles are similar, their corresponding sides are in proportion. The length of NO cannot be determined from the given information.

Explanation:

When two triangles are similar, their corresponding sides are in proportion. In this case, the scale factor is 3/2, meaning that the corresponding sides of triangle ABC and triangle MNO are in the ratio of 3:2.

To find the length of side NO, we can set up the proportion:

AB/MN = BC/NO = AC/OO

Since we know that AB = 3 and MN = 2, we can solve for NO:

3/2 = BC/NO

3NO = 2BC

NO = (2/3)BC

Therefore, the length of NO is (2/3) times the length of BC.

Since we don't know the length of BC, we cannot determine the exact length of NO. The answer choices provided do not match the information given, so none of the given options can be correct.

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Need help with geometry

Answers

Answer:

V = 60

Step-by-step explanation:

The formula for the volume of a square based pyramid is: V = a² × h/3 where a = the edge and h = the height

to solve we just plug it in:

V = 6² × 5/3

V = 36 × 5/3

V = 36/1 ×5/3 (another way of writing the above)

V = 180/3 <-- simplify

V = 60

Answer:

48

Step-by-step explanation:

Formula: a^2*(h/3)

We know a is 6ft, but to find h, the height, we'll need to use Pythagoreon Theorem. The hypothenuse of the triangle is 5 and one of the legs is 3, because you need to divide 6 by 2.

3^2+b^2=5^2

9+b^2=25

b^2=16

b=4

Now plug in a and h into the formula to get 48.

Ms. Nash, an executive with a television company, is trying to decide on the subject matter for a new television series for adults. She chooses to conduct a survey to help her make an informed decision. Which of the following sampling techniques should Ms. Nash use in order to obtain the most representative sample of the viewing audience?

Ms. Nash should ask a randomly–chosen, equal number of men and women shopping at a department store.

Ms. Nash should ask the first two hundred men she encounters on the busy street in front of her office.

Ms. Nash should ask five men and five women shopping at a local grocery store.

Ms. Nash should ask men and women from a variety of age ranges who are attending a science fiction movie festival.

Answers

Ms. Nash, an executive with a television company, is trying to decide on the subject matter for a new television series for adults. She chooses to conduct a survey to help her make an informed decision. Which of the following sampling techniques should Ms. Nash use in order to obtain the most representative sample of the viewing audience?

Ms. Nash should ask a randomly–chosen, equal number of men and women shopping at a department store.

Ms. Nash should ask the first two hundred men she encounters on the busy street in front of her office.

Ms. Nash should ask five men and five women shopping at a local grocery store.

Ms. Nash should ask men and women from a variety of age ranges who are attending a science fiction movie festival.

It’s the first one

Final answer:

Ms. Nash should use a stratified random sampling method to ensure a representative sample of the viewing audience for a new TV series. The best option available is to query men and women from a variety of age ranges at a science fiction movie festival, despite potential genre bias.

Explanation:

Ms. Nash, an executive with a television company, should employ a sampling technique that ensures a representative sample of the adult viewing audience for a new television series. The most effective approach would be to use random sampling with a stratified design, which takes into account various characteristics such as age, gender, and possibly other demographics or interests relevant to the content of the television series. Although none of the options provided perfectly align with this methodology, the most appropriate among them is the fourth option, which suggests asking men and women from a variety of age ranges who are attending a science fiction movie festival. This method attempts to achieve some level of stratification by including a variety of age ranges, which is a crucial aspect when trying to extrapolate the preferences of a larger population. Moreover, by selecting from men and women, there is an acknowledgment of the need to balance gender representation. However, the choice of a science fiction movie festival may introduce a selection bias toward viewers who prefer that genre, so it's not entirely ideal for a general audience survey.

The price of an item yesterday was $160 . Today, the price fell to 104 . Find the percentage decrease.

Answers

The percentage drop would be 35%

If the volume of a rectangular prism is 1440cm, width is 5cm length is 2cm what is the height

Answers

Answer:144

Step-by-step explanation: 144 since width times length times height equals volume. so 5 times 2 times ? equals 1440.  So 10 times ? equals 1440.  So next 1440 divided by 10 equals 144.  So the answer is 144.

Answer:

Step-by-step explanation:

144 cm.

In the spinner below, what is the probability of landing on 3?

A. 1/4
B. 1/3
C. 1/8
D. 1/6

Answers

A. 1/4 because numbers 6 and 3 have 2 bigger of a chance than the other numbers, so the spinner is out of 8. Since 3 has double the chance of being landed on than 1,2,4, and 5, than the probability of the spinner landing on the number 3 is 2/8, which is simplified to 1/4

Final answer:

Without specific details about the spinner, it's impossible to accurately determine the probability of landing on 3. Assuming a hypothetical spinner with numbers 1-8, the answer would be C. 1/8.

Explanation:

The subject of your question is probability, which is a branch of Mathematics. The probability of an event is calculated by dividing the number of ways an event can occur by the total number of possible outcomes. Given your question, if we are to find the probability of landing on 3, we need to know how many '3's there are on the spinner, and how many total outcomes there are. Unfortunately, without a provided image or additional details about the spinner, it's impossible to accurately determine the probability.

Assuming a standard spinner with one '3' and eight total outcomes (numbers 1 through 8), the probability would be 1/8, so the answer should be C. 1/8. But again, this is based on assumptions, the actual answer could vary if the information about the spinner is different.

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What transformations are needed to change the parent cosine function to y=3cos(10(x-pi))?

Answers

Answer:

The graph of [tex]y=cos(x)[/tex] is:

*Stretched vertically by a factor of 3

*Compressed horizontally by a factor  [tex]\frac{1}{10}[/tex]

*Moves horizontally [tex]\pi[/tex] units to the rigth

The transformation is:

[tex]y=3f(10(x-\pi))[/tex]

Step-by-step explanation:

If  the function [tex]y=cf(h(x+b))[/tex]  represents the transformations made to the graph of [tex]y= f(x)[/tex]  then, by definition:

If  [tex]0 <c <1[/tex] then the graph is compressed vertically by a factor c.

If  [tex]|c| > 1[/tex] then the graph is stretched vertically by a factor c

If [tex]c <0[/tex]  then the graph is reflected on the x axis.

If [tex]b> 0[/tex] The graph moves horizontally b units to the left

If [tex]b <0[/tex] The graph moves horizontally b units to the rigth

If [tex]0 <h <1[/tex] the graph is stretched horizontally  by a factor [tex]\frac{1}{h}[/tex]

If [tex]h> 1[/tex] the graph is compressed horizontally by a factor [tex]\frac{1}{h}[/tex]

In this problem we have the function [tex]y=3cos(10(x-pi))[/tex] and our parent function is [tex]y = cos(x)[/tex]

The transformation is:

[tex]y=3f(10(x-\pi))[/tex]

Then [tex]c =3>1[/tex]  and [tex]b =-\pi < 0[/tex] and [tex]h=10 > 1[/tex]

Therefore the graph of [tex]y=cos(x)[/tex] is:

Stretched vertically by a factor of 3.

Also as [tex]h=10[/tex] the graph is compressed horizontally by a factor  [tex]\frac{1}{10}[/tex] .

Also, as [tex]b =-\pi < 0[/tex] The graph moves horizontally [tex]\pi[/tex] units to the rigth

Michele correctly solved a quadratic equation using the quadratic formula as shown below.

Which could be the equation Michele solved?

Answers

Answer:

The original equation must have been:

[tex]7x^{2} -5x-2=0[/tex]

Step-by-step explanation:

A quadratic equation is in the form of :

[tex]ax^{2} +bx+c=0[/tex]

And it is solved in the form of :

[tex]x=\frac{-b+\sqrt{b^{-4ac} } }{2a}[/tex] and [tex]x=\frac{-b-\sqrt{b^{-4ac} } }{2a}[/tex]

Now the given equation is :

[tex]x=\frac{-(-5)+-\sqrt{(-5)^{2} -4(7)(-2)} }{2(7)}[/tex]

We can see that here;

a = 7

b = -5

c = -2

So, the original equation must have been:

[tex]7x^{2} -5x-2=0[/tex]

Answer:

Look at the picture

0.4 miles
1.69 miles
3.0 miles
6.4 miles

Answers

Answer:

.4 is the answer

Step-by-step explanation:

This is a right triangle problem.  We have one leg as .5 in length and the other leg as 1.2 in length.  The "straight" way to your grandma's house is the hypotenuse.  We need to find that length which will give us the distance straight from your house to their house if you didn't have to go out of your way to avoid the water.  The hypotenuse is found with Pythagorean's Theorem.  It will be filled in and solved as follows:

[tex].5^2+1.2^2=c^2[/tex]

[tex].25+1.44=c^2[/tex]

[tex]1.69=c^2[/tex]

and c = 1.3

That's the straight distance.  You had to go out of your way to the tune of .5+1.2 which is 1.7 miles.  You figure out how much shorter it is taking the straight path by subtracting 1.7 - 1.3 which is .4

in a concert band, the probability that a member is in the brass section is
0 50. The probability that a member plays trombone given that he or she is in
the brass section, is 024

What is the probability that a randomly selected band member is in the brass
section and plays trombone?
a​

Answers

Answer:

12%

Step-by-step explanation:

To solve this problem, we need to find the probability that someone is in the brass section and play trombone.

To do this, we can multiply the probability of someone being in the brass section and the probability of someone playing trombone.

[tex]0.5*0.24=0.12[/tex]

Therefore, it is 12% that a randomly selected band members is in the brass section and plays trombone.

Answer: 12 percent

Step-by-step explanation:

Simplify: √8 + √98 + √72

Answers

Simplify √8 to 2√2

2√2 + √98 + √72

Simplify √98 to 7√2

2√2 + 7√2 + √72

Simplify √72 to 6√2

Simplify

= 15√2

Answer:

C

Step-by-step explanation:

√8 + √98 + √72

√(4×2) + √(49×2) + √(36×2)

2√2 + 7√2 + 6√2

15√2

Answer C.

While traveling to and from a certain destination, you realized increasing your speed by 10 mph saved 1 hours on your return. If the total distance of the roundtrip was 600 miles, find the speed driven while returning.

Answers

Answer:

60 mph

Step-by-step explanation:

time = distance/speed

If s represents the return speed, then the relationships of the travel times is ...

300/(s-10)-1 = 300/s

300s -s(s-10) = 300(s-10) . . . . . multiply by s(s-10)

-s^2 +310s = 300s -3000 . . . . eliminate parentheses

s^2 -10s -3000 = 0 . . . . . . . . . . write in standard form

(s -60)(s +50) = 0 . . . . . . . . . . . . factor

This has solutions s=60, s=-50. The negative solution is extraneous.

The return speed was 60 mph.

We want to find the speed in your return given that increasing the speed by 10 mph would saved you an hour of trip.

The speed was 72.62 mi/h

We know the relationship:

distance = speed*time

Let's assume the speed is represented with the variable S, and the time it took you to return is represented with T.

We know that the distance of the roundtrip was 600 miles.

then we can write:

600mi = S*T

Now we know that if we increase the speed by 10mi/h, the time decreases by one hour, so we can also write:

600mi = (S + 10mi/h)*(T - 1h)

So we have a system of equations:

600mi = S*T600mi = (S + 10mi/h)*(T - 1h)

To solve this, we can isolate one of the variables in one of the equations and then replace that on the other equation.

I will isolate T in the first one:

T =  600mi/S

Now we replace this in the other equation to get:

600mi = (S + 10mi/h)*(600mi/S - 1h)

Now we can solve this for S, the speed.

600mi = 600mi - 1h*S + (6,000 mi^2/h)/S - 10mi

0 = -1h*S + (6,000 mi^2/h)/S - 10mi

Now we multiply both sides by S to get:

0 = -1h*S^2 + (6,000 mi^2/h) - 10mi*S

This is a quadratic equation, we can solve this byt using the Bhaskara's formula:

[tex]S = \frac{10mi \pm \sqrt{(10mi)^2 - 4*(6,000 mi^2/h)*(-1h)} }{2*(-1h)} \\\\S = \frac{ 10mi \pm 155.24mi}{-2h}[/tex]

We need to take the positive solution, so we get:

S = (10mi - 155.24 mi)/(-2h) = 72.62 mi/h

The speed was 72.62 mi/h

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Which expression represents the volume of the cone that is times the volume of the pyramid that it fits inside? (2r2h) (4r2h)

Answers

Answer:

D! found it out for the brainly gang:)

Step-by-step explanation:

The expression represents the volume of the cone that is times the volume of the pyramid that it fits inside is Pi/4(4r²/3).

We have given that the expression represents the volume of the cone

that is times the volume of the pyramid that it fits inside

(2r^2h) (4r^2h)

What is the formula for the volume of the cone?

The formula for the volume of a cone is ⅓ r^2h cubic units.

where r is the radius of the circular base and h is the height of the cone.

Therefore from the given we get the volume of a pyramid is Pi/4(4r²/3).

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jason answered 12 questions correctly on a test worth 150 points. each question was worth 10 points. what percent did jason earn on the test?

Answers

Answer:

He earned 120% out of 150%.

Step-by-step explanation:

The test is work 150 points, while each question being 10 points each, so we can divide this and we will get 15 questions. Then we can just multiple, 10 by 12 and get 120, this means he got 12 out of 15 questions right, or 120%out of 150%.

twelve of the comic books in rachel's collection are in mint condition. if 1/6 of her collection is in mint condition, how many comic books are in her collection?

which equation can be used to solve the problem above?


a- 12 divided by 1/6 =n

b- 1/6 divided by 12=n

c- n divided by 1/6= 12

d-n divided by 12= 1/6

Answers

Answer:

I think the answer is B Plz tell me if im wrong

Good luck on your test!

Answer:

- 12 divided by 1/6 =n

Step-by-step explanation:

Let the total number of comic books collection be n

Number of comic books=12

Also, according to question number of comic books=1/6 of n

therefore,

1/6 of n=12

n=12×6

n=72

Thus, correct answer is option (a)

Can someone help me answer and explain how to solve this?


A septic tank in the shape of a rectangular prism must hold a volume of 234 cubic feet. If the width of the tank is 4.5 feet and the length is 8 feet, what is the height of the tank?


Area of base = ____

Answers

Answer:

4.9 I have to go and get the games and she said that she would be doing the same thing on my mind

Answer:

6.5 feet

Step-by-step explanation:

[tex]v = w \times h \times l[/tex]

We know the Volume is 234 ft

and we know the width is 4.5 ft and the length is 8 feet, we can set up or formula and solve for the height.

234=4.5 × 8 x h

234=36 x h

234÷36=h

6.5=height

Amir pitches a baseball at an initial height of 6 feet, with a velocity of 73 feet per second. If the batter misses, about how long does it take the ball hit the ground?

Hint: Use H(t) = −16t2 + vt + s.

4.64 seconds
2.94 seconds
2.28 seconds
0.08 second

Answers

Answer:4.64

Step-by-step explanation: I took the test on this and it was correct

Answer:

4.64

Step-by-step explanation:

bcuz sir ghost said so

What is the perimeter of this rectangle?

Answers

The perimeter of a rectangle si length + length + width + width or 2l + 2w. Substitute your values in to get 2(70) + 2(65) → 140 + 130 → 270 feet

Suppose a box has a square base and no top. if x is the length of a side of the base, and h is the height of the box, what is the surface area of the box?

Answers

5xbxh hope it helps

what is the area of the figure below please explain!

Answers

I don't know the area of a parallelogram off the top of my head but you can use the area of the rectangle and the area of the triangle and add those. The area of the triangle is 1/2*base*height and use the pythagorean theorem to find the base. 3² + b² = 5²; 9 + b² = 25; b² = 16; b = 4. The area of the triangle is 1/2*4*3 or 6 in. Since there are two of them, the total area of the triangles are 12 in. The area of the rectangle is length*width or (12 - 4) * 3 which is 8 * 3 or 24in. Add these areas together to get 36in total

The area of the given rectangle is 36 inch^2.

The area of a parallelogram is off the top of my head but you can use the area of the rectangle and the area of the triangle and add those.

What is the area of the triangle?

The area of the triangle is 1/2*base*height

use the Pythagorean theorem to find the base.

3² + b² = 5²

9 + b² = 25

b² = 16

b = 4.

The area of the triangle is 1/2*4*3 or 6 in.

Since there are two of them, the total area of the triangles are 12 in.

The area of the rectangle is length*width or (12 - 4) * 3 which is 8 * 3 or 24in.

Add these areas together to get 36in total.

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Please Answer this question.

Answers

Answer:

The correct answer option is A. [tex]\frac{x^{12}}{64}[/tex].

Step-by-step explanation:

We are given the following expression and we are to simplify it:

[tex] ( 4 x ^ { - 4 } ) ^ { - 3 } [/tex]

Distributing the power among the terms to get:

[tex] 4 ^ { - 3 } . 4 ^ { - 4 * - 3 } [/tex]

[tex]4^{-3}.x^{12}[/tex]

[tex]\frac{x^{12}}{4^3}[/tex]

[tex] \frac { x ^ { 1 2 } } { 6 4 } [/tex]

HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELP!

Answers

Answer:

Five more than the square of a number= 5 + x²

Five more than twice a number = 5 + 2x

Five less than the product of 3 and a number = 3x - 5

Five less the product of 3 and a number = 5 -3x

Twice the sum of a number and 5 = 2(x + 5)

The sum of twice a number and 5 = 2x + 5

The product of a cube of a number and 5= 5x³

The cube of the product of 5 and a number= (5x)³

Olá

Answer:

(5x)³=

(5x) ao cubo  

5.5.5=125X³

2(x+5)= 2x+10

             2x=10

              x=10/2

                X=5

2x+5= 2x - 5 = 0  

2x = 0 + 5  

2x = 5  

x = 5/2

3x-5= 3x= +5

           X= 5/3 or X= 1,6

5+2x= 2x=-5

            X= -5/2

5+x²= x²+5  a=1 b= 5 c=0

-4.1.0 (corta,pois -4.1.0=0)

=25  

x= -b +/- raíz de bhaskara/ 2.a

x=-5 +/- 5/2

x'= 0/2=0

x"=  -10/2= -5

5-3x= 3x=-5

          X= -5/3

5x³ = 0   a=5 b= 0 c=0

0²-4.5.0

= 0 (duas raízes reais e iguais)

x'= 0

x"= 0

Espero ajudar♥

       

             

A coin is tossed 140 times. The probability of getting tails is p = 0.500. Would a result of 55 heads out of the 140 trials be considered usual or unusual? Why?

Answers

Answer:

Unusual, because the result is less than the minimum usual value

Step-by-step explanation:

A result of 55 heads out of the 140 trials is to be considered unusual .

Why is this result unusual ?

In a fair coin toss, the probability of getting heads (H) or tails (T) is each 0.5 (50%) because there are two equally likely outcomes. Therefore, if you were to toss a fair coin 140 times, you would expect to get heads approximately half the time, which is 140 * 0.5 = 70 times.

Consider the result of 55 heads. This result is less than the expected value of 70 heads for 140 tosses. It is slightly below what you would anticipate for a fair coin.

So this result would be unusual.

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Please help!
Thanks
BRIANLIEST OF 2 PPL ANSWER

Answers

Answer:

PS = 7

k = 9

Step-by-step explanation:

RS = PQ                   Given

3x  - 7 = x - 1            Substitute algebraic terms. Subtract x from both sides

3x-x - 7 = x - 1 - x    Combine

2x - 7 = - 1                Add 7 to both sides.

2x - 7+7 = -1+7         Combine

2x = 6                      Divide by 2

2x/2 = 6/2

x = 3

Length of PS = x - 1 + x + 3x - 7

Length of PS = 5x - 8

Length of PS = 5*3 - 8

Length of PS = 7

=========================

f(x) = k - x^2

x = 2

f(x) = 5  is the given point

5 = k - x^2      Substitute for x^2

5 = k - 2^2      Expand

5 = k - 4          Add 4 to both sides.

5+4=k-4+4      Combine

k = 9

(0, -3), (2, -2), (4, -1), (6, 0),...

These ordered pairs follow a pattern. If (10, y) is in this pattern, what is the value of y?

f 4 g 1 h 3 j 2

Answers

the answer is J) 2

because the x values are going up in twos and the yard values are adding one each time.

so

(8,1)

and

(10, 2)

hope this helps

Graph the following fnction on the interval -5≤x≤5. y=Arc cos (1/3x)

Answers

Answer:

option D

Step-by-step explanation:

To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.

Please see the attached image below, to find more information about the graph

The equation is:

y=Arc cos (1/3x)    ;  -5≤x≤5

The answer is option D

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