Which of the following is the function for the graph shown?

Answer:

The t-value for this data is -4.

The p-value of the test is 0.0003 < 0.05, which means that the null hypothesis can be rejected.

Step-by-step explanation:

College national study finds that students buy coffee from a coffee shop on average 12 times a week, I believe it may be different for UML students.

At the null hypothesis, we test if the mean is of 12, that is:

[tex]H_0: \mu = 12[/tex]

At the alternative hypothesis, we test if the mean is different of 12, that is:

[tex]H_1: \mu \neq 12[/tex]

The test statistic is:

We have the standard deviation for the sample, so the t-distribution is used to solve this question.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

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

12 is tested at the null hypothesis:

This means that [tex]\mu = 12[/tex]

I collect data from a sample of 36 UML students and find that they buy coffee on average 8 times a week, with a standard deviation of 6 days.

This means that [tex]n = 36, X = 8, s = 6[/tex]

Value of the test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{8 - 12}{\frac{6}{\sqrt{36}}}[/tex]

[tex]t = -4[/tex]

The t-value for this data is -4.

P-value of the test:

Considering a standard significance level of 0.05.

Test if the mean is different from a value, so two-tailed test, with 36 - 1 = 35 df and t = -4. Using a t-distribution calculator, the p-value is of 0.0003.

The p-value of the test is 0.0003 < 0.05, which means that the null hypothesis can be rejected.

Answer:

Wavelength varies inversely with frequency.

Step-by-step explanation:

Wavelength varies inversely with frequency.

[tex]\lambda\propto \dfrac{1}{f}\\\\\lambda=\dfrac{k}{f}\\\\\lambda f=k[/tex]

Where

k is the constant and it is equal to the product of wavelength and frequency. It means when wavelength increases, the frequency decreases and vice versa.

Answer:

I believe that the answer is B as well

Step-by-step explanation:

This might be for Ap3x but not 100% sure

Answer:

x = 4

Step-by-step explanation:

The segment inside the triangle is an angle bisector and divides the opposite side into segments that are proportional to the other two sides , that is

[tex]\frac{15}{20}[/tex] = [tex]\frac{x+2}{14-(x+2)}[/tex]

[tex]\frac{3}{4}[/tex] = [tex]\frac{x+2}{14-x-2}[/tex] = [tex]\frac{x+2}{12-x}[/tex] ( cross- multiply )

4(x + 2) = 3(12 - x) ← distribute parenthesis on both sides )

4x + 8 = 36 - 3x ( add 3x to both sides )

7x + 8 = 36 ( subtract 8 from both sides )

7x = 28 ( divide both sides by 7 )

x = 4

Answer:

I don't understand your question.............!

Step-by-step explanation:

Answer:

B. -9

Step-by-step explanation:

The equation would be f(-3)=-3^2

3*3 is 9

Add the - back on, and you get -9

I hope this helps!

Answer:

-2.76, -2.57, -2.5, -1.85, -1.58, 2.5, 2.85

Answer: $255

Step-by-step explanation:

Use proportions:

[tex]\frac{6hr}{85} =\frac{18hr}{x}[/tex]

Cross-multiply & solve:

[tex]6x=18 * 85\\6x=1530\\x=255[/tex]

The distance traveled depends on the amount of time Marlene rides her bike

The function f(t) = 16t represents the scenario

Answer:

options (2), (3) and (5)

Step-by-step explanation:

2.

the distance traveled depends upon the amount of time she rides her bike.

as she travels 16 miles in 1 hr. she'll ride 32 miles in 2 hrs. so all values of distance traveled by her depends upon the time she takes.

3.

yes the initial is 16 miles per hour as the output of 1hr will be 16 and that's what the initial value is 16 miles for one hour. or 16 miles per hour.

5.

f(t) = 16t represents the scenario

where f(t) will be the output of the function that is d, distance when the output is t that is time.

Answer:

[tex]{ \bf{x = \sqrt{ {12}^{2} - { \sqrt{122} }^{2} } }} \\ x = \sqrt{22} \: in[/tex]

Answer:

345

Step-by-step explanation:

The velocity of a car over five hours is given by:

[tex]\displaystyle v(t)=60\ln(t+1),\, 0 \leq t \leq 5[/tex]

And we want to find the total distance traveled from t = 0 to t = 5.

Recall that distance is the integral of the absolute value of the velocity function. Since we want to find the total distance traveled from t = 0 to t = 5, our limits of integration are t = 0 and t = 5. Hence:

[tex]\displaystyle D=\int_0^5 |\underbrace{60\ln(t+1)}_{v(t)}|\, dt[/tex]

Since v(t) ≥ 0 for all t in the interval [1, 5], we can remove the absolute value. Use a calculator:

[tex]\displaystyle D=60\left(6\ln(6)-5)=345.0334...\approx 345[/tex]

Answer:

x = 0

Step-by-step explanation:

Given equation to us is ,

[tex]\sf\implies 3 (x - 2 ) = 2( x - 3 )[/tex]

And we need to find out the value of x.

Step 1 : Open the parentheses :-

[tex]\sf\implies 3x - 6 = 2x - 6 [/tex]

Step 2: Put all variables on one side :-

[tex]\sf\implies 3x - 2x = -6+6 [/tex]

[tex]\sf\implies\boxed{\bf x = 0 }[/tex]

Answer:

Yes my son they do so yeah

Step-by-step explanation:

Cuz I know

Answer:

C. 162 m2

Step-by-step explanation:

Surface Area

= 2(11×2) + 2(8×2) + 2(10 + 33)

= 44 + 32 + 86

= 162

Hence C

Answer: C, 162

Step-by-step explanation: I did it

Answer: C. 225

Step-by-step explanation:

Addition of a positive and negative number always means that you are going to subtract the number e. g. 4+-1 = 3. However, multiplication of a positive and negative number means the answer is always negative e. g. 5 x - 3 = - 15.

The addition of positive and negative number will always subtract with sign of maximum value.

The multiplication of positive and negative number will have a negative sign always.

When two numbers which have different sign are added, they will always be subtracted from each other. The sign will vary accordingly.

Example: Consider two number -5 and 4

= -5 + 4

= -1

Here, 5 is the larger value. So, the sign comes is negative.

Example: consider two number 5 and -4.

= 5 + (-4)

= 1

Here, 5 is the large number. So, the sign comes is positive.

When two numbers with opposite signs are multiplied, the answer is always a negative number.

Example; Consider two numbers 4 and -5.

On multiplication,

4×(-5) = -20

Thus, the multiplication of two numbers with different signs will always give a negative number.

To know more about rational and irrational numbers, here

https://brainly.com/question/5796983

#SPJ2

Answer:

P = $80

Step-by-step explanation:

I = P*r*t

P = I/rt

Where,

simple interest, I = $20

Interest rate, r = 5%

Time, t = 5 years

P = I / rt

= 20 / 5% * 5

= 20 / 0.05 * 5

= 20 / 0.25

= 80

P = $80

Answer:

Step-by-step explanation:

5x-4<10

or, 5x<14

or, x<14/5

so, x<2.8

[tex]\displaystyle\bf 5x-4<10\\\\5x<14\\\\\boxed{x<2,8} \\\\Answer: x<2,8\quad or \quad x\in(-\infty;2,8)[/tex]

Answer: 19/3

Step-by-step explanation:

[tex]4x+3-x-5=30-3x\\\\3x-8=30-3x\\\\6x-8=30\\\\6x=38\\\\x=\frac{19}{3}[/tex]

Answer:

112

Step-by-step explanation:

add both bases the multiply by the height

Answer:

112

13 + 15

= 28 ÷ 2

= 14 × 8

= 112

Answer:

x=80

Step-by-step explanation:

The angle of a line is 180*.

The equation would be (x+20)+x=180

Subtract 20 from both sides: 2x=160

Divide by 2: x=80

That's your answer!

I hope this helps!

Answer:

x=80

Step-by-step explanation:

I cant explain well but edge 2021 never lie's!

Area of a triangle formula: 1/2 x base x height

Area = 1/2 x 2 x 3.8

Area = 3.8 square km

Answer:

The area of triangle = 3.8km²

Step-by-step explanation:

Given :-

A triangle having length of base is 2km and length of height is 3.8km.

To find :-

Solution :-

We know that ,

Area of triangle = ½ × Base × height

Area of triangle = ½ × 2km × 3.8km

Area of rectangle = ½ × 7.6km²

Area of triangle = 3.8km²

Hello,

Let's assume x the length of the north's wall

and y the length of west side .

Area:x*y=600  ==> y=600/x

Cost: 2*y*4+5*x=8y+5x= 4800/x+5x

Minimize cost: (4800/x+5x)'=0

-4800/x²+5=0

x²=4800/5

x²=960

[tex]x=8\sqrt{15} \\\\y=5\sqrt{15} \\[/tex]

Answer:

Step-by-step explanation:

Average rate of change is the same thing as the slope. This is a quadratic so the slope is not something that is constant like it is in a line. Here you have the x coordinates of 1 and 5; each one of these x coordinates has a y coordinate that goes with it. If we draw a line from one of these coordinates to another,  that line will have a slope. That is the slope we are trying to find. Thus, we need the y coordinates that go with each of these x coordinates. To do that, plug x into the equation and do the math to find y:

Let's start with x = 1.

f(1) = [tex]17-(1)^2[/tex] so

f(1) = 16 and the coordinate is (1, 16).

f(5) = [tex]17-(5)^2[/tex] so

f(5) = -8 and the coordinate is (5, -8). Now we apply the slope formula:

[tex]m=\frac{-8-16}{5-1}=\frac{-24}{4}=-6[/tex] So the answer is -6.

Answer:

All real numbers

Step-by-step explanation:

The range is whatever the output can be. In this case, the output is y. Because the line is going through all numbers vertically, and arrows are going up and down, we can say that the line is going through all y values. Therefore, the range is all real numbers

Answer:

20+(-32)+16

Step-by-step explanation:

It goes up which is positive then goes down which is negative then goes back up which is positive

Answer:

1 describe the inequality graph