lil help here please​

Answer:

The p-value of the test is 0.1738, which means that for a level of significance above this, there is evidence of a change from the status quo.

Step-by-step explanation:

A high school has found over the years that out of all the students who are offered admission, the proportion who accept is 70%. Test if there is a change from status quo.

At the null hypothesis, we test if the proportion is 70%, that is:

[tex]H_0: p = 0.7[/tex]

At the alternate hypothesis, we test if there is a change from status quo, that is, the proportion is different from 70%. So

[tex]H_a: p \neq 0.7[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

70% is tested at the null hypothesis:

This means that [tex]\mu = 0.7, \sigma = \sqrt{0.7*0.3}[/tex]

Suppose they offer admission to 210 students and 156 accept.

This means that [tex]n = 210, X = \frac{156}{210} = 0.7429[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.7429 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{210}}}[/tex]

[tex]z = 1.36[/tex]

P-value of the test and decision:

The p-value of the test is the probability that the sample proportion differs from 0.7 by at least 0.7429 - 0.7 = 0.0429, which is P(|z| > 1.36), which is 2 multiplied by the p-value of z = -1.36.

Looking at the z-table, z = -1.36 has a p-value of 0.0869

2*0.0869 = 0.1738

The p-value of the test is 0.1738, which means that for a level of significance above this, there is evidence of a change from the status quo.

9514 1404 393

Answer:

  {f(x), g(x)} = {x^4, x(x+4)}

Step-by-step explanation:

If we look at the composite function from the point of view of the Order of Operations, we see the operations performed on x are ...

From the point of view of decomposition, we want the outer function (f(x)) to be one that can be applied to the expression produced by the inner function (g(x)). Looking at our list, we find that raising an expression to the 4th power could qualify as the outer function we want. (We could also use raising to some other power, if we wanted.)

So, f(x) = x^4.

This leaves ...

  f(g(x)) = f(4x +x^2)

so, g(x) = 4x +x^2.

One possible set of functions is ...

  {f(x), g(x)} = {x^4, x(x+4)}

Answer: D

Step-by-step explanation: She should make rows of 3 until she has 47 rows. She will have 1 left over. Because 47*3 = 141 plus the left over 142

Answer:

[tex]40[/tex].

Step-by-step explanation:

The range of a set of numbers is the difference between the maximum and minimum numbers.

In this set of number, [tex]50[/tex] is the maximum while [tex]10[/tex] is the minimum. Hence, the range would be [tex]50 -10= 40[/tex].

Answer: The club members estimate that they will sell 100 tote bags when the price is $11 each, and for every price increase of $1, they estimate they will sell 10 fewer bags. If the price increases to $13, then this is a $2 increase from the original price, so we can calculate the number of fewer bags they estimate they will sell:

10 fewer bags per $1 increase * $2 increase = 20 fewer bags

To find the number of bags they estimate they will sell when the price is $13, we can subtract this decrease from the original number of bags they estimate they will sell:

100 bags - 20 fewer bags = 80 bags

To find the revenue in dollars, we can multiply the number of bags they estimate they will sell by the price of the bags:

80 bags * $13 per bag = $1040

So the estimated revenue when the bags are priced at $13 each is $1040

Step-by-step explanation:

On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

here,

total is 500

obtained is 400

so, percentage - 400/500 X 100 = 80%

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Answer:

C

Step-by-step explanation:

Answer:

  To get black from red ...

Step-by-step explanation:

You want the know the transformation that is applied to the red graph to make it be the black graph.

We note that the vertex of the black graph is (-1, 4), which is 1 unit left and 4 units up from the vertex of the red graph.

The black graph opens downward, and has a slope of ±3 compared to the slope of ±1 for the red graph. This means it has been reflected across the x-axis and scaled by a factor of 3.

The reflection and scaling can both be accomplished by multiplying the function by -3. The translation is accomplished by adding 4 to the function value to shift it up 4 units, and adding 1 to the x-value to shift the graph left 1 unit.

The transformations applied to the red graph are ...

Answer:

D

Step-by-step explanation:

if x=11, -4(11)=-44. 47-44=3 and 3<7 which is true.

Answer:

BD = 2

Step-by-step explanation:

here's your solution

==> in ∆ABC and ∆ ABD

==> angle C = angle D. [ = to 90° ]

==> AB is common side

==> angle BAC = angle BAD. [ BA is angle bisector]

==> hence both traingle are congruent

==> so, BD = BC. [ by C.P.C.T ]

==> BC = 2. [ Given ]

==> BD = 2

hope it helps

Step-by-step explanation:

2a+c

=2( 2+(-6) )

=2( -4 )

= -8

Answer:

What is the time and place in which events happen?

a. conflict

b. plot

c. settings

d. theme

The answer is setting because it's the condition, time, and place in which events or actions happen.

#BrainliestBunch

Answer:

Its between A and B

Step-by-step explanation:

I think its B Tho

Answer:

the bottom right could NOT

the fourth option is the answer (. ^ ᴗ ^.)

Answer:

9 = 1st number

21 = 2nd number

Step-by-step explanation:

given that :

1st number = x __eq_i

2nd number (in terms of the first number) = 2x + 3 __eq_ii

1st number + 2nd number = 30 __eq_iii

input eq_i and eq_ii in eq_iii

x + 2x + 3 = 30

3x + 3 = 30

3x = 30 - 3

x = 27 ÷ 3

x = 9

9 = 1st number

input the value of x in eq_ii

2x + 3

2(9) + 3

18 + 3

21 = 2nd number

hope that helps.

Answer:

24a^2 +50a+25

Step-by-step explanation:

The slope of the lines that passes trough the points (-2,-1) and (-4,-7) is m = 3 , (2,-3) and (6,-13) is m = -2.5 , (-3,4) and (-3,-8) is m = undefined , (-5,7) and (3,-1) is m = -1 .

What is slope ?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope.

The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b).

           m=Δy/Δx

           m=(y2−y1)/(x2−x1)

           m=(−7−−1)/(−4−−2)

           m=−6/−2

           m = 3

          m=Δy/Δx

          m=(y2−y1)/(x2−x1)

          m=(−13−−3)/(6−2)

          m=−10/4

          m=−5/2

          m = -2.5

           m=Δy/Δx

           m=(y2−y1)/(x2−x1)

           m=(−8−4)/(−3−−3)

           m=−12/0

          m is undefined

            m=Δy/Δx

            m=(y2−y1)/(x2−x1)

            m=(−1−7)/(3−−5)

            m=−8/8

            m = -1

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Answer:

your answer would be A

Step-by-step explanation:

it is kinda confusing but if you are reflecting off the x axis, you change the y, and if you are reflecting off the y axis, you would change the x

hope this helps and have a nice day!

Answer:

6 hours

Step-by-step explanation:

70miles divided by 4 hours equals 17.5mph

106miles divided by 17.5 mph = 6 hours

Answer:

6 hours

Step-by-step explanation:

105miles ÷ 70miles=1.5

4×1.5= 6

Answer:

it would be able to make 20 different sets. not at the same time though. you would only be able to make 2 at one time

Answer:

a(n) = 1 + 7(n-1)

Step-by-step explanation:

Answer:

option d is correct answer

Step-by-step explanation:

equation y=-7 and slope zero

as equation of staight line y= MX+c

The we can say that the slope of the line is undefined and the {y} - intercept is -7.

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is that Zoran graphed the line shown in the image.

The line is parallel to the {x} axis. So, it has no slope. Or, we can say that the slope of the line is undefined. It intersects the line at y = -7, at the {y} - axis. So, the {y} - intercept will be {y} = -7.

Therefore, the we can say that the slope of the line is undefined and the {y} - intercept is -7.

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Answer:

n>11

Step-by-step explanation:

The solution to the inequality 7n - 1 > 76 is n > 11, so the correct option is C.

To determine and graph the inequality 7n - 1 > 76;

First Add 1 to both sides of the inequality to isolate the variable term.

7n - 1 + 1 > 76 + 1

7n > 77

Divide both sides of the inequality by 7 to solve for n.

(7n) / 7 > 77 / 7

n > 11

Since n is greater than 11, the graph will be an open circle on 11, and an arrow extending to the right.

Therefore, the solution to the inequality 7n - 1 > 76 is n > 11, so the correct option is C.

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Answer:

[tex]\dfrac{1}{a^{20}c^2d^2e^{6}}[/tex]

Step-by-step explanation:

Given expression:

[tex](a^{10}b^{0}cde^{3})^{-2}[/tex]

[tex]\textsf{Apply the exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]

[tex]\implies \dfrac{1}{(a^{10}b^{0}cde^{3})^{2}}[/tex]

[tex]\textsf{Apply the exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies \dfrac{1}{a^{(10 \times 2)}b^{(0 \times 2)}c^2d^2e^{(3 \times 2)}}[/tex]

Simplify:

[tex]\implies \dfrac{1}{a^{20}b^{0}c^2d^2e^{6}}[/tex]

[tex]\textsf{Apply the exponent rule} \quad a^0=1:[/tex]

[tex]\implies \dfrac{1}{a^{20}(1)c^2d^2e^{6}}[/tex]

[tex]\implies \dfrac{1}{a^{20}c^2d^2e^{6}}[/tex]

Answer:

30 clovers

Step-by-step explanation:

If Nathaniel find 2 four-leaf clovers in the first 12 minutes of his search, the rate at which he finds the four-leaf clovers is:

[tex]\implies \sf Rate=\dfrac{2\;clovers}{12\;minutes}=\dfrac{1}{6}\;clovers\;per\;minute[/tex]

To predict the number of four-leaf clovers Nathaniel will find in 180 minutes, multiply the found rate by 180 minutes:

[tex]\implies \sf \dfrac{1}{6} \times 180=30\;clovers[/tex]

Therefore, Nathaniel will find 30 clovers in 180 minutes based on the rate at which he found 2 clovers.

[tex] \sf \longmapsto \: Prediction \: of \: 4 \: leaf \: clovers=2/12×180

\: [/tex]

[tex] \sf \longmapsto \: Prediction \: of \: 4 \: leaf \: clovers=30clovers[/tex]

Step-by-step explanation:

[tex] \bf \red { Area: \; \boxed{ 24 } units^2} [/tex]

Formula of area of a parallelogram is :

○ b denotes base

○ h denotes height

Here,

→ Area of the parallelogram = 6 units × 4 units

→ Area of the parallelogram = 24 units²

[tex] \therefore [/tex] Area of the parallelogram is 24 units².

[tex] \bf \purple { Perimeter: \; \boxed{ 22 } units} [/tex]

Since, opposite sides of a parallelogram are equal. So,

○ First side = 6 units

○ Second side = 5 units

○ Third side = 6 units

○ Fourth side = 5 units

→ Perimeter = ( 6 + 5 + 6 + 5 ) units

→ Perimeter = ( 12 + 10 ) units

→ Perimeter = 22 units

[tex] \therefore [/tex] Perimeter of the parallelogram is 22 units.

[tex]\boxed{ \sf { AREA \; FORMULA }} [/tex]

[tex]\boxed { \sf { A = Base \times Height }} [/tex]