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3 years ago

Can someone please help me with my work

Mathematics

1 answer:

AlekseyPX3 years ago

6 0

$g(x) = a f(\frac{1}{b}x)$

If 'a' > 1, Then graph is vertically stretched by factor of 'a'

If 'a' < 1, Then graph is vertically compressed by a factor of 'a'

If 'b' > 1, Then graph is horizontally stretched by factor of 'b'

If 'b' < 1, Then graph is horizontally compressed by a factor of 'b'

For this example:

a = 1 ----> no vertical tranformation

b = 5 ----> horizontal stretch

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The distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26

hjlf

Answer:

Probability that next week's show will have between 30 and 37 million viewers is 0.2248.

Step-by-step explanation:

We are given that the distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26 million with a standard deviation of 8 million.

Let X = number of viewers for the American Idol television show

So, X ~ N( $\mu=26,\sigma^{2}=8^{2}$ )

Now, the z score probability distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean = 26 million

$\sigma$ = standard deviation = 8 million

So, probability that next week's show will have between 30 and 37 million viewers is given by = P(30 < X < 37) = P(X < 37) - P(X $\leq$ 30)

P(X < 37) = P( $\frac{X-\mu}{\sigma}$ < $\frac{37-26}{8}$ ) = P(Z < 1.38) = 0.91621

P(X $\leq$ 30) = P( $\frac{X-\mu}{\sigma}$ $\leq$ $\frac{30-26}{8}$ ) = P(Z $\leq$ 0.50) = 0.69146

Therefore, P(30 < X < 37) = 0.91621 - 0.69146 = 0.2248

Hence, probability that next week's show will have between 30 and 37 million viewers is 0.2248.

4 0

3 years ago

A segment has endpoints at (-2,3) and (7,9), How long is the segment?

trasher [3.6K]

$l=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(7-(-2))^2+(9-3)^2}=\sqrt{9^2+6^2}\\=\sqrt{81+36}=\sqrt{117}=10.82 \ units$

4 0

3 years ago

Find the values of x: I don’t understand how to do this please help

goblinko [34]

Answer:

x = 8

Step-by-step explanation:

11x - 34 and 7x - 2 are vertical angles and congruent, thus

11x - 34 = 7x - 2 ( subtract 7x from both sides )

4x - 34 = - 2 ( add 34 to both sides )

4x = 32 ( divide both sides by 4 )

x = 8

-----------------------

11x - 34 = 11(8) - 34 = 88 - 34 = 54

18y and 11x - 34 are adjacent angles and supplementary , thus

18y + 54 = 180 ( subtract 54 from both sides )

18y = 126 ( divide both sides by 18 )

y = 7

8 0

3 years ago

An integer N is to be selected at random from {1, 2, ... , (10)3 } in the sense that each integer has the same probability of be

Andrej [43]

Answer:

Probability of N Divisible by 3 - 0.33

Probability of N Divisible by 5 - 0.2

Probability of N Divisible by 7 - 0.413

Probability of N Divisible by 15 - 0.066

Probability of N Divisible by 105 - 0.0095

Step-by-step explanation:

Given data:

Integer N {1,2,.....10^3}

Thus total number of ways by which 1000 is divisible by 3 i.e. 1000/3 = 333.3

Probability of N divisible by 3 {N%3 = 0 } $= \frac{333.3}{1000} = 0.33$

total number of ways by which 1000 is divisible by 5 i.e. 1000/5 = 200

Probability of N divisible by 5 {N%5 = 0 } $= \frac{200}{1000} = 0.2$

total number of ways by which 1000 is divisible by 7 i.e. 1000/7 = 142.857

Probability of N divisible by 7 {N%7 = 0 } $= \frac{142.857}{1000} = 0.413$

total number of ways by which 1000 is divisible by 15 i.e. 1000/15 = 66.667

Probability of N divisible by 15 {N%15 = 0 } $= \frac{66.667}{1000} = 0.066$

total number of ways by which 1000 is divisible by 105 i.e. 1000/105 = 9.52

Probability of N divisible by 105 {N%105 = 0 } $= \frac{9.52}{1000} = 0.0095$

similarly for N is selected from 1,2.....(10)^k where K is large then the N value. Therefore effect of k will remain same as previous part.

3 0

3 years ago

Read 2 more answers

the area of a rectangular picture frame is 30 3/1 square inches. The length of the frame is 6 1/2 inches. Find the width of the

Rudiy27

I hope this helps you

Area=length ×width

30 1/3=30.3+1/3=91/3

6 1/2=6.2+1/2=13/2

91/3=13/2.width

width =7.13.2/3.13

width =14/3

width = 4 2/3

3 0

3 years ago