The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. If you were conducting a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population, what would the null and alternative hypotheses be? (Note = refer to top of page 508 for format and appropriate equality and non-equality symbols, respectively)a. H0 :______b. Ha :______

Answer:

d. you just have to multiply everything

Answer:

90

Step-by-step explanation:

that's a right angle

Answer:

Step-by-step explanation:

I understand why this was kind tough

the slope of line d is infinite  and the slope of line c is zero

so line c 's  equation looks like  y = 3  ... it's kinda  confusing but  the line is always 3  so you could pick any x value and y = 3 still.  the equation y=3 doesn't rely on x at all to answer it.    But x is part of the "frame work" that is implied.    

line d  is  x = 3   , again , y is part of the "frame work" and implied that y doesn't matter in this equations, you always have x = 3 .. or a vertical line , btw. line d does NOT pass the vertical line test , and therefore isn't a function,  so the question is wrong, that d will have an equation,  b/c there is an implication that d is a function when you say "what is the equation to line d" that is must be a function. But in this case it's not.   hm :/  food for thought

Answer:

a I think I might be a try it tell me if I am wrong

Answer:

I want to say it's A

Step-by-step explanation:

the y-intercept is where the line crosses through the y-axis.

Answer:

-8k + 24

Step-by-step explanation:

Is your expression.

Answer:

1) You can rely solely on your brakes because when doing so the car will just travel 250ft from the point you hit your brakes till the point the car stopped completely, leaving you 50ft away from the cow.

2) See attached picture.

j(t) represents the distance from the point you hit the brake t seconds after you hit it in feet

j'(t) represents the velocity of the car t seconds after the brakes have been hit in ft/s.

j"(t) represents the acceleration of the car t seconds after the brakes have been hit in [tex]ft/s^{2}[/tex]

3) yes, any time after t=5.28 will not accurately model the path of the car since at that exact time the car will reach a velocity of 0ft/s and unless another force is applied to the car, then the car will not move after that time.

4) [tex]j(t)=\left \{ {{95t-9t^{2}; 0\le t<5.28s} \atop {250.69; 5.28s\leq t \leq 10s}} \right.[/tex]

[tex]j'(t)=\left \{ {{95-18t; 0\leq t<5.28s} \atop {0 ; 5.28s\leq t \leq 10s}} \right.[/tex]

(see attached picture for graph)

Step-by-step explanation:

1) In this part of the problem we need to find the time when the speed of the car is 0. Gets to a complete stop. For this we will need to take the derivative of the position function so we get:

[tex]j(t)=95t-9t^2[/tex]

[tex]j'(t)=95-18t[/tex]

and we set the first derivative equal to zero so we get:

95-18t=0

and solve for t

-18t=-95

[tex]t=\frac{95}{18}[/tex]

t=5.28s

so now we calculate the position of the car after 5.28 seconds, so we get:

[tex]j(5.28)=95(5.28)-9(5.28)^{2}[/tex]

[tex]j(5.28)=250.69ft[/tex]

so we have that the car will stop 250.69ft after he hit the brakes, so there will be about 50ft between the car and the cow when the car stops completely, so he can rely just on the breaks.

2) For answer 2 I take the second derivative of the function so I get:

[tex]j(t)=95t-9t^{2}[/tex]

[tex]j'(t)=95-18t[/tex]

j"(t)=-18

and then we graph them. (See attached picture)

j(t) represents the distance from the point you hit the brake t seconds after you hit it in feet

j'(t) represents the velocity of the car t seconds after the brakes have been hit in ft/s.

j"(t) represents the acceleration of the car t seconds after the brakes have been hit in [tex]ft/s^{2}[/tex]

3)  yes, any time after t=5.28 will not accurately model the path of the car since at that exact time the car will reach a velocity of 0ft/s and unless another force is applied to the car, then the car will not move after that time.

4) [tex]j(t)=\left \{ {{95t-9t^{2}; 0\le t<5.28s} \atop {250.69; 5.28s\leq t \leq 10s}} \right.[/tex]

[tex]j'(t)=\left \{ {{95-18t; 0\leq t<5.28s} \atop {0 ; 5.28s\leq t \leq 10s}} \right.[/tex]

(see attached picture for graph)

Answer:

A

Step-by-step explanation:

Answer:

A. 63 square units

Step-by-step explanation:

The person's answer above is correct. I have drawn a photo for reference!

Answer:

20.283

Step-by-step explanation:

1) the formula of the required Area is:

A=A₁+A₂, where A₁ - area of semicircle, A₂ - area of rectangular;

2) the radius of the semicircle is: r=(7-2-1)/2=2 cm, then the area A₁:

A₁=0.5*π*r²=2π≈6.283 (cm²);

3) A₂=7*2=14 (cm²);

4) finally, A=A₁+A₂=6.283+14=20.283 (cm²)

Answer:

[tex]\%Percent = 14.3\%[/tex]

Step-by-step explanation:

Required

15 is what percentage of 105

To do this, simply divide 15 by 105 multiplied by 100%.

So, we have:

[tex]\%Percent = \frac{15}{105} * 100\%[/tex]

[tex]\%Percent = \frac{15*100}{105}\%[/tex]

[tex]\%Percent = \frac{1500}{105}\%[/tex]

[tex]\%Percent = 14.3\%[/tex] --- approximated

Answer:

Step-by-step explanation:

Answer:

5.573.75

Step-by-step explanation:

because math

Answer:

B) 2

Step-by-step explanation:

6/3 = 2

3/3 = 1

6÷3 = 2

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Answer:

A) The multiplier for this situation is 0.02.

B) The cost in 4 years will be $ 33,555.39.

C) 31,000 x 1.02 ^ N = X

Step-by-step explanation:

Since in 2012 the average cost for a new midsized car was about $ 31,000, and new car prices tend to go up about 2% every year, to determine what is the multiplier for this situation, what will the cost be in 4 years if this trend continues and to write an equation to calculate the cost in n years the following calculations must be performed:

A)

31,000 x 2/100 = X

31,000 x 0.02 = X

Thus, the multiplier for this situation is 0.02.

B)

31,000 x 1.02 ^ 4 = X

33,555.39 = X

Thus, the cost in 4 years will be $ 33,555.39.

C)

31,000 x 1.02 ^ N = X

Here, N represents the number of years over which the price increase will be calculated, and X represents the price after that number of years.

Answer:

its the same as 48

Step-by-step explanation:

Answer:

both sides are the same so it has to be also 48

Answer:

Step-by-step explanation:

285 - 60= 225

225/45= 5

5 weekdays

Answer:

look at the picture i sent please

Answer:

16 fl oz

1 cup is 8

x2

16 fl oz.

Answer:

a) 92.9 degrees

b) 20 degrees

Step-by-step explanation:

Using the conversion factor;

180 degrees = pi radians

For 1.62 radians;

1.62 radians = x

pi radians = 180 degrees

Divide both expressions;

1.62/pi = x/180

pi * x = 1.62 * 180

pi * x = 291.6

x = 291.6/pi

x = 291.6/3.14

x = 92.9 degrees

Hence 1.62 radians is equivalent to 92.9 degrees

b) Recall that

pi radians = 180 degrees

pi/9 rad = y

Cross multiply

y * pi = 180pi/9

y = 180/9

y = 20 degrees

Hence pi/9 radians is equivalent to 20 degrees

Answer:

False

Step-by-step explanation:

The answer to this question is false because the missing observation does not introduce bias to the estimator. But missing observations reduces the size of the sample that is available from the given population. Therefore reducing the precision of the estimators.

In conclusion, no bias is introduced because of missing observations so the answer is false.

Answer:

A=200.96.

Step-by-step explanation:

A=3.14×16/2^2.

A=3.14×8^2.

A=3.14×64.

A=200.96 or A=201.

Answer:[tex]g (f (x)) = 3^{2} + 24[/tex]

Step-by-step explanation:

The true about the solutions of the equation f(x) = g(x) is

The solution of the graph where the graph of function intersect at

x = 1 and x = 3.642.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

We have function,

f(x) = log(x - 1)

g(x) = 1/3x² - 4

As, f(x) = g(x)

log (x-1) = 1/3 x² - 4

Now, putting x= 1, x= 3.642, x= 4.464, x= 4 , x= 0.422 into the formula for the observation.

So, the solution of the graph where the graph of function intersect at

x = 1 and x = 3.642

Learn more about Function here:

https://brainly.com/question/30721594

#SPJ5

bro what angle I don't see one here so how we are able to solve this problem

Answer:

area = 153.86 in²

Step-by-step explanation:

Diameter = 14π / π = 14

radius = 1/2(14) = 7

area = π7² = 153.86 in²

Answer:

[tex]7^{2}[/tex] -2 * 3 is equal to 43

Step-by-step explanation: