Below is a cumulative relative frequency graph for the lengths, in minutes, of 200 songs
recorded by the Rolling Stones.

a. According to these data, the mean song length was 4.23 minutes, and the standard
deviation was 1.38 minutes. A music lover who wants to create a mix of songs wants to have 5 seconds of silence between songs, so he needs to add five seconds to the length of each song. He also wants to express the times in seconds, rather than minutes. Find the mean and standard deviation of the transformed data.

b. What are the mean and standard deviation of the z-scores of song lengths? Justify your answer.

Answer:

The answer would be 4.2

Step-by-step explanation:

First add the 8 and 0

Answer:

y÷234

Step-by-step explanation:

3×81x=234

234x=9x+y

234x-9x=y

x=y÷234

Answer:

The only single-digit prime numbers are: 2, 3, 5, and 7.

Answer:

2, 3, 5, 7

Step-by-step explanation:

1) Prime numbers are numbers that can only be multiplied by themselves and one; therefore, they only have two factors.

Hope this helps!

Answer:

Brainliest PLS

x=4

Step-by-step explanation:

Let's solve your equation step-by-step.

6.5x+9(10−x)=(8)(10)

Answer:

x=8

Step-by-step explanation:

5x-4=3x+12

-3x. -3×

2x-4=12

+4. +4

2×=16

÷2. ÷2

x=8

Answer: -67

Step-by-step explanation:

Answer:49

Step-by-step explanation:

Answer: 93

Step-by-step explanation:

75+105+127= 307

307-250= 57

150-57= 93 (57 + 93 = 150)

Answer:

The question is asking you to measure it, so I'm assuming you would do so with a ruler and get the exact measurement in centimetres.

Answer:

Step-by-step explanation:

πr^2h = v

h = v/πr^2

Answer:

Rational

Step-by-step explanation:

2.7 can be written as a fraction, so therefore it is ration[tex]2.7=2\frac{7}{10} =\frac{27}{10}[/tex]al.

The number 2.7 is a rational number.

A rational number is a number that can be expressed as a ratio of two integers, where the denominator is not zero.

In other words, a rational number can be written in the form p/q, where p and q are integers, and q is not equal to zero.

Now, let's express 2.7 as a fraction:

2.7 = 27/10

Since 27 and 10 are both integers, and the denominator (10) is not zero, we have successfully expressed 2.7 as a fraction of two integers.

Therefore, 2.7 is a rational number.

On the other hand, an irrational number cannot be expressed as a simple fraction of two integers. Examples of irrational numbers include π (pi) and √2 (the square root of 2).

These numbers have non-repeating and non-terminating decimal expansions, and they cannot be written as a fraction of two integers.

However, 2.7 is a terminating decimal (it has a finite number of decimal places), and it can be expressed as a fraction, making it a rational number.

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Answer:

Step-by-step explanation:

Easy way: type the equation into a graphing calculator.

__

By hand: find a couple of points and draw a line through them.

The equation is in "slope-intercept" form:

  y = mx + b

where m is the slope (-2) and b is the y-intercept (3). The y-intercept is where the line crosses the y-axis, so right away you know one point on the line. That point is (0, 3).

The slope of -2 means for each horizontal unit, the line drops 2 units vertically. The point 1 unit to the right of (0, 3) is (1, 3); and the point 2 units below that is (1, 3-2) = (1, 1). So, another point on the line is (1, 1).

You can plot those two points and draw the line through them.

Answer:

  growth

Step-by-step explanation:

The base of the positive exponent is 1.1, a value greater than 1. When the growth factor is greater than 1, it is a growth function.

__

It is a decay function when the growth factor is less than 1.

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

D(-4,4), X(-2, 2)

The midpoint is

[tex]M = ( \frac{ - 4 - 2}{2} \: , \: \frac{4 + 2}{2} ) \\ = ( - \frac{ 6}{2} , \frac{6}{2} )[/tex]

We have the final answer as

Hope this helps you

Answer:

505ft below the surface

Step-by-step explanation:

subtract 575 from 625 and then add 455 to get your final answer.

y is the dependent variable and x is the independent variable.

LOL Khan Academy

Given :

Three roots , [tex]\sqrt{7},\ -\sqrt{7},\ -4[/tex] .

To Find :

A cubic function with the given zeros.

Solution :

Equation of polynomial of 3 zeroes is given by :

[tex](x-a_1)(x-a_2)(x-a_3)=0\\\\(x-\sqrt{7})(x+\sqrt{7})(x+4)=0\\\\( x^2-7)(x+4)=0\\\\x^3+4x^2-7x-28=0[/tex]

Therefore, the cubic function of given zeroes is [tex]x^3+4x^2-7x-28=0[/tex].

Hence, this is the required solution.

As we look at both triangles, we can see that they have a few things in common.

Each triangle shares a right angle, one leg, and an acute angle.

LL = leg and leg

HA = hypotenuse and angle

HL = hypotenuse and leg

LA = leg and angle

The triangles do not share two legs, nor do they share a hypotenuse.

Therefore,

LA is the only choice that makes sense.

For these two right triangle, LA(Leg and angle) verifies that ΔDEF ≅ ΔSTU.

If the hypotenuse and a side of a right- angled triangle is equivalent to the hypotenuse and a side of the second right- angled triangle, then the two right triangles are said to be congruent.

In these two given right triangles, ∠D = ∠S and ∠F = ∠U.

Therefore, the third angle of each triangle are equal as per the third angle theorem.

The leg of each triangle is equal as mentioned.

Therefore, LA(Leg and angle) verifies that ΔDEF ≅ ΔSTU.

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Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

4+(-6)

4-6

-2

Hey there! I'm happy to help!

This is slope intercept form: y=mx+b, where m is the slope and b is the y intercept. The slope is what is multiplying x. In our case, 2.83 is multiplying x, so 2.83 is the slope.

Have a wonderful day! :D

Answer:

x=2

Step-by-step explanation:

PQ+QR=PR

=x^2+3+4+2x=15

=x^2+2x+7=15

=x^2+2x+7-15=0

=x^2+2x-8=0. (quadratic equation)

=(x+4)(x-2)=0. (factorise)

=x+4=0 or x-2=0

x=-4 or 2

we take x to be the positive value which is

x=2

Answer:

1.E

2.C

3.B

4.A

5.D

Answer:

3 is correct answer

Step-by-step explanation:

[tex]3(x - 2) + 5x = 18 \\ 3x - 6 + 5x = 18 \\ 8x - 6 = 18 \\ 8x = 18 + 6 \\ 8x = 24 \\ x = \frac{24}{8} \\ x = 3[/tex]

hope it helped you:)

Answer:

x=3

Step-by-step explanation:

3x-6+5x=18

add the same terms to both sides

8x-6=18

add the term again

8x-6+6=18+6

simpfly

8x=24

8x/8 24/8

x=3

Answer:agree

Step-by-step explanation:

Given :

Rain is falling at 0.5 inches per hour and 1.5 inches have already accumulated.

To Find :

How many hours must have passed if there are 5 inches of rain .

Solution :

Let , after x hours rain accumulated is 5 inches .

We know , general equation of line :

y = mx +c

Here , m = 0.5 and c = 1 .

So , equation of rain accumulated is :

[tex]y=0.5x+1[/tex]

Now , putting value of x = 5 hours .

We get :

[tex]y=0.5\times 5+1\\\\y=2.5+1=3.5\ inches[/tex]

Hence , this is the required solution .

Answer:

0.5h+1.5=5

1.5h+0.5=5

Answer:

225

Step-by-step explanation:

well divide 45 by 30 to get miles per min. = 1.5

and theirs 150 min in 2 1/2 hours

so now multiply 150 by 1.5 = 225