A relative frequency histogram is given with four classes. The first three bars have a height of 0.25, 0.35, and 0.1 respectively. What is the helght of
the fourth bar?​

Answer:

The measure of angle θ is 7π/6. The measure of its reference angle is  210°

and sin θ is​ -1/2.

Step-by-step explanation:

The correct question is:

The measure of angle θ is 7π/6. The measure of its reference angle is  ___

and sin θ is​ ___

180° is equivalent to π radians. To transform 7π/6 radians to degrees, we have to use the following proportion:

180° / π radians = x° / (7π/6 radians)

x = (180/π) * (7π/6 radians)

x = 210°

And sin(210°) = -1/2

Answer:

slope (m) = 0.75

Step-by-step explanation:

Slope (m) =

ΔY

ΔX

=

1

3

= 0.33333333333333

θ =

arctan( ΔY ) + 180°

ΔX

= 198.43494882292°

ΔX = -4 – 2 = -6

ΔY = 3 – 5 = -2

Distance (d) = √ΔX2 + ΔY2 = √40 = 6.3245553203368

Equation of the line:

y = 0.33333333333333x + 4.3333333333333

or

y =  

1 x

3

+  13

3

When x=0, y = 4.3333333333333

When y=0, x = -13

please mark brainliest

Answer:

B

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

bkbkbk

Answer: A cluster.

Step-by-step explanation:

A cluster has ups and downs and one peak.

Answer:

A: a cluster

Step-by-step explanation:

Answer:

4^48

Step-by-step explanation:

you add the exponents

Answer:

[tex]4^{48}[/tex]

Step-by-step explanation:

[tex]4^{4} *4^{44} =4^{48}[/tex]

You can just calculate this if you'd like and it'd still be the same answer...

Answer:

  A, D

Step-by-step explanation:

Your first clue is that y > x. That is only the case for choices A and D.

Answer:

A and D

Step-by-step explanation:

Answer:

2004 cm²

Step-by-step explanation:

To solve this problem, you just need to plug your values into the rectangular prism formula: A=2(wl+hl+hw)

Assuming that the length is 21 cm, the width is 18 cm, and the height is 16 cm, your problem would look like this:

A=2((18x21)+(16x21)+(16x18))=2(378+336+288)=2x1002=2004 cm²

Explanation:

There are 8 players. For each player, there are 7 people to shake hands with. So we have 8*7 = 56 handshakes so far; however, we double count since the sequence AB is the same as BA (where A and B are player names). Order does not matter when it comes to shaking hands. So we have to divide by 2 to fix the double count. We go from 56 to 56/2 = 28. There are 28 different combinations.

You can use the formula [tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex] with n = 8 and r = 2, but the formula is a bit confusing to be honest if you aren't familiar with it. The exclamation marks indicate factorials.

Extra info: The value 28 can be found in Pascals triangle. Look at the row that starts with 1, 8, ... then note how 28 is in the third slot. Keep in mind that you start at r = 0 and count up by 1. So r = 2 corresponds to the third slot.

Answer:

8  players in total

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

90=.45x (x being the number)

(multiply by 100/45)

90(100/45)

9000/45=

x=200

the answer is B. hope i helped

Answer:

The volume of a cone is 1 3 π r 2 h \frac { 1 } { 3 } \pi r ^{ 2 } h 31πr2h, where r denotes the radius of the base of the cone, and h denotes the height of the cone.

Step-by-step explanation:

(happy to help)

Final answer:

The volume of a cone is derived using the principle of integrating infinitesimally thin discs along the height of the cone, given by the formula V = ⅓πr²h.

Explanation:

The formula for the volume of a cone is derived using calculus and geometric principles. Consider a cone generated by rotating a line around one of the coordinate axes. If we know the formula for the area A of a circle, it can be extended to find the volume of a cone. The area A of a circle is πr², where r is its radius. The formula for the volume V of a cone is ⅓ × base area × height, which can be expressed as V = ⅓πr²h, with h being the cone's height.

Using integral calculus, the cone's volume is found by stacking infinitesimally thin discs (each with volume πr²dx, where dx is the disc's thickness) along the cone's height. The radius r changes linearly from the base to the apex, following the relationship r = (h - x)tan(a), where a is the semivertical angle of the cone. Thus, you integrate from the apex (0) to the base (h) to find the entire volume of the cone.

Answer:

The elements contain in A U B is {11,12,13,14,15,16,17} .

There are 7 elements in A U B.

Answer:62.64

Step-by-step explanation:

You have to multiply them

Answer:

About 30%

Step-by-step explanation:

Well, um...

If 64% did not, then 36% of them do.

So, about 30% Do.

Answer:

x=4

Step-by-step explanation:

to find RT, you would do the 60-60-90 rule and you would get 4, x and RT are the same value because of the 45-45-90 rule, so x=4

Answer:

I actually have no idea

Step-by-step explanation:

Answer:

either the ordered pair (3 , 4) or (3 , -4)

Step-by-step explanation:

a function is where there is only one x to each y value

each x value must not be the same

Answer:

x = 3.5

Step-by-step explanation:

diameter = radius × radius

d= ( 3x + 1 ) + ( x + 8 )

3x + 1 = x + 8

subtract 1 and x

2x = 7

divide by 2

x = 3.5

Answer:31

Step-by-step explanation:

The difference between the means would be twice the MAD (mean absolute deviation) in this case, as 20 is two times 10.

The student's question is about determining how many times larger the difference between the means of the two data sets is compared to the mean absolute deviation (MAD) of each pizzeria, which is given as approximately 10. To answer this, we need to know the means of both data sets in order to calculate the difference between them. Without this information, it's not possible to provide a specific number.

However, if the means of the two data sets were known, for example, if the mean of the first set was 20 and the mean of the second set was 40, then the difference would be 40 - 20 = 20. The difference between the means would be twice the MAD in this case, as 20 is two times 10.

Answer:

19

Step-by-step explanation:

8+8+3 = 19

We have been given that segment KL is a diameter of circle Q. Circle Q is represented by the equation [tex]\left(x-11\right)^2+\left(y+15\right)^2=7[/tex]. We are asked to find the length of KL.

We know that standard equation of a circle is in form [tex]\left(x-h\right)^2+\left(y-k\right)^2=r^2[/tex], where point (h,k) represents center of circle and r represents radius of circle.

Upon comparing our given equation with standard equation of circle, we can see that the center of the circle is at point [tex](11,-15)[/tex] and [tex]r^2=7[/tex].

Let us solve for r by taking positive square root.

[tex]\sqrt{r^2}=\sqrt{7}[/tex]

[tex]r=\sqrt{7}[/tex]

We know that diameter is two times radius, so value of diameter KL would be 2 times r.

[tex]KL=2\cdot \sqrt{7}[/tex]

Therefore, the volume of KL is [tex]2\sqrt{7}[/tex] and option C is the correct choice.

Answer: 1. (1,3)

Step-by-step explanation:

Insert 1 for x and 3 for y. The equations will look like

3 - 1 = 2

1 + 3 = 4

Both equations are true when these numbers are inserted, therefore, the answer is (1,3).

Answer:

15.7

Step-by-step explanation:

5 times 3.14 will give you circumference of a circle

Answer:

15.7 in

Step-by-step explanation:

Circumference = pi × d

3.14 × 5

15.7 inches

Answer:

14

Step-by-step explanation:

the edge of one slice of pizza is 5.5 and there are eight slices so i multiplied 5.5 by eight to get the circumference

the circumference is 44 so i divided that by pi to get the diameter which was 14 after you round

if your more of a numbers/formula person this might be more helpful:

circumference: 5.5 x 8 = 44

formula for diameter is  [tex]d=\frac{C}{\pi }[/tex]

so, [tex]d=\frac{44}{\pi }[/tex]

     [tex]d=14[/tex]

The diameter of the pizza is 14 inches.

Given that the pizza is divided into 8 equal slices and one of the outer edges measures 5 1/2 inches.

When need to find the diameter of the pizza.

The formula to find the circumference of the circle is 2πr.

Since a pizza is divided into 8 equal parts.

So, the circumference of 1 part=2πr/8=πr/4

πr/4=5.5 inches.

⇒πr=22

⇒r=7 inches.

Then, diameter=14 inches.

Therefore, the diameter of the pizza is 14 inches.

To learn more about the circumference of a circle visit:

https://brainly.com/question/27177006.

#SPJ5

Answer:

100 grams is = to 0.1 kg

Step-by-step explanation:

100 grams is = to 10,000 mg which is incorrect. I am not sure what the other answer choices are, but C is your correct answer.

Final answer:

The measurements equivalent to one hundred grams are 10,000 centigrams (cg) and 0.1 kilograms (kg). The other options provided do not equal 100 grams.

Explanation:

To determine which measurements are equivalent to one hundred grams, we need to understand the relationship between different units of mass. In the metric system, mass is commonly measured in kilograms (kg), grams (g), and milligrams (mg), among others. Here is a reference based on the information you provided:

1 kilogram (kg) = 1000 grams (g)

1 gram (g) = 1000 milligrams (mg)

Now, let's evaluate each option provided in the question:

1,000 mg = 1 g (not 100 g)

10,000 cg = 100 g (since 1 g = 100 centigrams (cg))

0.1 kg = 100 g (since 1 kg = 1000 g)

10 hg = 1000 g (since 1 hectogram (hg) = 100 g)

Therefore, the measurements equivalent to one hundred grams are 10,000 cg and 0.1 kg.

Answer:

9/18

Step-by-step explanation:

Answer:

9/18

Step-by-step explanation: 9/18 and 6/12 both equal 1/2

To find the salesperson's total sales, we use the formula Commission = Sales x Commission Rate, where $60 is the commission earned at a 2% rate. Dividing $60 by 0.02 gives us the total sales of $3000 for that day.

The student has asked about calculating the total sales based on a commission earned by a salesperson. To find out the total sales we can use the formula: Commission = Sales * Commission Rate. Given that the salesperson earned a $60 commission at a 2% commission rate, we set up the equation: 60 = Sales * 0.02. To solve for Sales, we divide both sides by 0.02, which gives us Sales = 60 / 0.02. Thus, the total sales for that day were $3000.

Answer:

C. Wen did not take the reciprocal of the divisor.