Which of the following represent functions that have the same rate of change?

Answer:

0.12995

0.47508

0.0841

0.738

Step-by-step explanation:

Given that:

Percentage of STEM (p) = 27% = 0.27

Sample size (n) = 47

Using Normal approximation :

Mean (m) = n*p = 47 * 0.27 = 12.69

Standard deviation (s) = √(n*p*q)

q = 1 - p = 1 - 0.27 = 0.73

Standard deviation (s) = √(47*0.27*0.73) = 3.04

a. Exactly 13 of them major in STEM.

P(12.5 < x < 13.5)

USing the z formula :

(x - m) / s

(12.5 - 12.69) / 3.04 < x (13.5 - 12.69) / 3.04

-0.0625 < z < 0.2664

Using the z probability calculator:

P(Z < - 0.0625) = 0.47508

P(Z < 0.2664) = 0.60503

0.60503 - 0.47508

= 0.12995

b. At most 12 of them major in STEM.

P(X ≤ 12.5)

Zscore = (x - m) / s

Zscore = (12.5 - 12.69) / 3.04

Zscore = −0.0625

P(Z ≤ - 0.0625) = 0.47508

c. At least 9 of them major in STEM.

P(X ≥ 8.5)

Zscore = (x - m) / s

Zscore = (8.5 - 12.69) / 3.04

Zscore = −1.378

P(Z ≤ - 1.378) = 0.0841

d. Between 8 and 15 (including 8 and 15) of them major in STEM.

(8.5 - 12.69) / 3.04 < x (15.5 - 12.69) / 3.04

-1.378 ≤ z ≤ 0.924

Using the z probability calculator:

P(Z ≤ 0.924) = 0.82226

P(Z ≤ - 1.378) = 0.084102

0.82226 - 0.084102

= 0.738

Answer:

44,55,77

Ratio is 11/1

Step-by-step explanation:

176=4x+5x+7x

176=16x

11=x

44,55,77

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

6 cups of lemon juice

Step-by-step explanation:

Answer:

BC>XY

Step-by-step explanation:

BCs angle is less than XYs angle

Answer:

0

Step-by-step explanation:

there is a maximum of 24 hours in a day and the highest we can have is 23:59.. it's impossible for it to be the 25th hour in a day

Answer:

D

Step-by-step explanation:

If its right let me know I think this is right

Answer:

1/5

Step-by-step explanation:

Answer:

84.24 - 6.24 = p

Step-by-step explanation:

Answer:

Your answer would be 92 Hours

Step-by-step explanation:

4 x 115 = 460

460 x 12 = 5,520

5,520 ÷ 60 = 92

Therefore your answer would be 92

Answer:

20%

Step-by-step explanation:

To find the percent decrease, we do old number subtracted from the new numbers over old.

We do

40 - 32 = 8

Then we put the 8 over the old and get

8/40

In percentage form it would be 20%

Answer:

C=0.15y+7.89

Step-by-step explanation:

The linear equation represents the cost C of a movie ticket y is C=0.15y+7.89. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

A linear equation is an algebraic equation of the form y=mx + b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

We define a linear equation. Equations of degree 1 are linear equations. It is the straight line's equation. A linear equation with parameters a and b equal to zero has the conventional form ax+by+c = 0.

When two linear expressions are equal, there is a linear equation in one variable. Or, to put it another way, a graph would be one method of solving this equation.

Given ,

Average price of movie ticket =$7.89

Increased average tickets =$0.15

So Simplifying the equation is

C=0.15y+7.89

Therefore The linear equation represents the cost C of a movie ticket y is C=0.15y+7.89.

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Answer:

100 inches

Step-by-step explanation:

Given

20 inch ≈ 0.5 m

Required

Determine the equivalent of 2.5m in inches

The question illustrated conversion between units of same measurements.

And we have that:.

20 in ≈ 0.5 m

Which can be rewritten as:

0.5 m ≈ 20 in

To solve further, we multiply both sides by 5

0.5 m * 5 = 20 in * 5

2.5 m ≈ 100 in

Hence, we can conclude that the 2.5m rope is approximately 100 inches long

The 2.5m rope is approximately 100 inches long

We have to given that,

20 inch ≈ 0.5 m

And, To Determine the equivalent of 2.5m in inches.

Since, It is illustrated conversion between units of same measurements.

And we have that;

20 in ≈ 0.5 m

Which can be rewritten as:

0.5 m ≈ 20 in

we multiply both sides by 5

0.5 m x 5 = 20 in x 5

2.5 m ≈ 100 in

Hence, we can conclude that the 2.5m rope is approximately 100 inches long.

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Answer:

Answer:

Step-by-step explanation:

Given the expression;

secθ − tan θ = cosθ

We are to find the solution in the interval [0, 2π).This is as shown;

From trigonometry identity;

secθ = 1/cosθ

tanθ = sinθ/cosθ

Substitute into the formula;

secθ − tan θ = cosθ

1/cosθ-sinθ/cosθ = cosθ

Multiply through by cosθ

1 - sinθ = cos²θ

1-sinθ = (1-sin²θ)

1-sin²θ-1+sinθ =0

-sin²θ+sinθ = 0

sin²θ = sinθ

sinθ = 1

θ = arcsin 1

θ = 90

θ = π/2

Hence the solution is π/2

The equation is an illustration of trigonometry ratios and identities

The solution in the interval  [0, 2π) is [tex]\mathbf{\theta = \frac{\pi}{2}}[/tex]

The equation is given as:

[tex]\mathbf{sec\theta - tan \theta = cos\theta}[/tex]

In trigonometry identity, we have:

[tex]\mathbf{sec\theta = \frac{1}{cos\theta}}[/tex]

and

[tex]\mathbf{tan\theta = \frac{sin\theta}{cosθ}}[/tex]

So the equation becomes

[tex]\mathbf{\frac{1}{cos\theta} -\frac{sin\theta}{cos\theta} = cos\theta}[/tex]

Multiply through by cosθ

[tex]\mathbf{1 - sin\theta = cos\²\theta}[/tex]

In trigonometry,

[tex]\mathbf{cos\²\theta = 1 - sin^2\theta }[/tex]

So, we have:

[tex]\mathbf{1-sin\theta = 1-sin\²\theta}[/tex]

Subtract 1 from both sides

[tex]\mathbf{sin\theta = sin\²\theta}[/tex]

Divide both sides by [tex]\mathbf{sin\theta}[/tex]

[tex]\mathbf{1 = sin\theta}[/tex]

Rewrite as:

[tex]\mathbf{sin\theta = 1}[/tex]

Take arc sin of both sides

[tex]\mathbf{\theta = sin^{-1}(1)}[/tex]

This gives

[tex]\mathbf{\theta = \frac{\pi}{2}}[/tex]

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Step-by-step explanation:

Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula. (or just count and plug it into rise over run format)

Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.

Answer:

5 [tex]\frac{1}{2}[/tex]  

Step-by-step explanation:

[tex]2\frac{4}{5}[/tex] + [tex]3\frac{7}{10}[/tex] = [tex]2\frac{8}{10}[/tex] + [tex]3\frac{7}{10}[/tex] = [tex]5\frac{15}{10}[/tex] = [tex]6\frac{1}{2}[/tex]  

12 - [tex]6\frac{1}{2}[/tex] = (12 - 6) - [tex]\frac{1}{2}[/tex] = 6 - [tex]\frac{1}{2}[/tex] = 5 [tex]\frac{1}{2}[/tex]

Answer:

y=5x+(-19)

Step-by-step explanation:

Refer to the picture that given

Based on Lauren's spending patterns and the balance in her account, her new balance must be an overdraft of $180.

Her balance after the vacation can be found as:

= Balance before vacation - ( Amount spent)

= 60 - ( 80 x 3)

= 60 - 240

= -$180

In conclusion, she will have a bank overdraft of $180.

Find out more about bank overdrafts at https://brainly.com/question/8283687.

Answer:

There are 104 kids and 162 adults

Step-by-step explanation:

104x1.5=156 Dollars from the kids

162x4=648 dollars from adults

648+156=804

Can I get brainiest now?

Answer:

The graph of the solution to inequality is shown in the attached figure.

Step-by-step explanation:

Considering the inequality

[tex]b< 6[/tex]

As this inequality could simply further

so

[tex]b<6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:b<6\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:6\right)\end{bmatrix}[/tex]

As the interval notation indicates that b is less than 6, hence 6 will not be included on the graph.

Therefore, the graph of the solution to inequality is shown in the attached figure.

Answer:

The calculated value   t = 0.452< 2.2621 at 0.05 level of significance

null hypothesis is accepted

Based on the sample, can it be concluded that μ is not different from 45 centimeters

Step-by-step explanation:

Step( i ):-

Heights were measured for a random sample of 10 plants

Size of the sample 'n' = 10

Mean of the sample (x⁻ ) = 46 centimeters

Standard deviation of the sample (s) = 7 centimeters

Mean of the Population ( μ ) = 45

Step(ii):-

Null Hypothesis :H₀:( μ ) = 45

Alternative Hypothesis : H₁:  μ ) ≠ 45

Test statistic

             [tex]t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }[/tex]

            [tex]t = \frac{46-45}{\frac{7}{\sqrt{10} } }[/tex]

           t = 0.452

  Degrees of freedom

                 γ = n-1 = 10 -1 = 9

t₀.₀₅ =  2.2621

The calculated value   t = 0.452< 2.2621 at 0.05 level of significance

null hypothesis is accepted

Based on the sample, can it be concluded that μ is not different from 45 centimeters

Answer:

First 3 terms of the sequence are:

8,9,10

Step-by-step explanation:

The nth term of a sequence is n+7 .

We have to find the first three terms of the sequence

First term(n=1)   = 1+7 =8

Second term(n=2)   = 2+7 =9

Third term(n=3)      = 3+7 =10

Hence, first 3 terms of the sequence are:

8,9,10

Answer:

The shape of a distribution is described by its number of peaks and by its possession of symmetry, its tendency to skew, or its uniformity. (Distributions that are skewed have more points plotted on one side of the graph than on the other.) PEAKS: Graphs often display peaks, or local maximums.

Answer: It is Skewed

Step-by-step explanation: More positive space than negative. So it is positively skewed.

Answer:

£1.44

Step-by-step explanation:

11.52/8=1.44

:)

Answer:

I think the answer is $1.44 each necklaces

Step-by-step explanation:

We know the total amount is $11.52 and there were 8 candy necklaces, so you divide 11.52 by 8 and that gives you 1.44

Answer:

The answer is "50".

Step-by-step explanation:

Let,

[tex]\to p(200) = 400[/tex]

If we assume the $20 reduction would raise the number of items sold to $40 so the increment is (x - 200) if x is the number of units sold.

[tex]\to (\frac{1}{40}) \times 20 = 0.5[/tex]

[tex]\to D(x) = 400 - 0.5 \times ( x - 200 ) \\\\ \ and \\ \to R(x) = x \times (D(x) \\\\[/tex]

            [tex]= x \times [ 400 - 0.5\times ( x - 200 )]\\\\ = x\times[400 - 0.5x - 100]\\\\= x\times [300 - 0.5 x]\\\\= 300x - 0.5 x^2[/tex]

[tex]R(x)= 300x- \frac{1}{2} x^2\\\\R'(x)=300-x\\[/tex]

if R'(x)=0

x=300

if  0 < x  < 300  and R(x) > 0 then R(x) for maximum x is = 300

[tex]D(300) = 400 - 0.5\times ( x - 200 )\\\\[/tex]

            [tex]= 400 - 0.5\times ( 300- 200 )\\\\ = 400 - 150+ 100\\\\ = 500 - 150 \\\\=350[/tex]

The rebate must be  : 400 - 350  = 50