An organization published an article stating that in any one-year period, approximately 10.2% of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, nine of them suffered from depression or a depressive illness. Conduct 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 population in the country.
1. Calculate the following.
a. x =
b. p' =
c. n =
2. Calculate σx.
3. Find the p-value.

Answer:

im on a chalange

Step-by-step explanation:

please choose someone else i have 1 day to do this

Answer:

fart

Step-by-step explanation:

Answer:

The answer is x>2, x has to be greater than 2,

the answer is 4 since it is greater than 2

This is a simple division problem, there are 1000 grams in 1 kilogram, so we do 2000/8, which is 250, so Erin put 250 grams of soil in each pot.

Answer:

220.5 ft²

Step-by-step explanation:

Hello There!

To find the area of the figure we want to split the figure into two shapes that a formula can easily be used to calculate their area

We split it into a rectangle with a length of 12 and a height of 14

and we split it into a trapezoid with base lengths that are equal to 7 and 14 and a height of 5

Now we can easily solve for the area

for the rectangle we use the formula

[tex]A=lw[/tex]

where l = length and w = width

[tex]a=12*14\\12*14=168\\a=168[/tex] so the rectangles area is 168 ft²

Now let's solve for the trapezoid's area

To calculate the area of the trapezoid we use the formula

[tex]A=\frac{a+b}{2} h[/tex]

where a and b = the bases and h = height

all we have to do is plug in the values

[tex]a=\frac{7+14}{2} 5\\7+14=21\\\frac{21}{2} =10.5\\10.5*5=52.5[/tex]

so the area of the trapezoid is 52.5 ft²

Now we just add the two areas together

52.5+168=220.5

so the total area of the figure is 220.5 ft²

Answer:

y = -7.2x + 540

Step-by-step explanation:

to find the slope I used the x-and-y intercepts: (0, 540) and (75, 0)

slope = 540/-75 or -7.2

Answer:

Pretty sure it's x^2−3x+2/4x-16  

Step-by-step explanation:

Answer:

[tex]x^{3}[/tex][tex]\sqrt{x}[/tex]

Step-by-step explanation:

An easier way to approach this is to separate the inside first.

[tex]\sqrt[]{x*x*x*x*x*x*x}[/tex]

Now you can group together pairs of 2, and they come out as one.

[tex]x*x*x\sqrt{x}[/tex]

Multiply all the xs on the outside, and you get

[tex]x^{3}[/tex][tex]\sqrt{x}[/tex]

Answer:

Step-by-step explanation:

tan B=372/279=(31×12)/(31×9)=12/9=4/3

Answer:

2/3

Step-by-step explanation:

Answer:

3.2, 12.8, 51.2,204.8

Step-by-step explanation:

simply use the common formula of geometric series:

tn= a.r^(n-1)

where, tn= nth term (term whose value you want to obtain)

a= first term

r= common ratio

n= nth value

Answer:

64 degrees

Step-by-step explanation:

Since the triangles are similar they have the same angle measures

[tex]\frac{PR}{PQ} =\frac{SU}{ST}[/tex]          [tex]\frac{21}{14}= \frac{6}{4}[/tex]

∠P = ∠S ∠R =∠U ∠Q=∠T

We know 2 of the angle measures: ∠S and ∠R, and since they are similar we know ∠P and ∠U

In triangles the sum of all angle measures is always 180 degrees, so we can solve for ∠Q with this formula

[tex]A+B+C=180[/tex]

[tex]46+70+C+180[/tex]

[tex]116+C=180[/tex]

subtract 116 from both sides

[tex]C=64[/tex]

Therefore ∠Q is equal to 64 degrees

Answer:

Need to see the statements

Step-by-step explanation:

The principal was $600.

Explanation:

Find principal by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.

In this example I = $72, i = 4% and t = 3 years, so

Answer: 173,200

Step-by-step explanation:

This is very simple and I can help with this!!

Interest= Principal x Rate x Time

Interest = ($400)($72)(6)= 172,800+400= 173,200

Answer:

it got to be b 2:2

Answer:

Yessir

Step-by-step explanation:

Answer:

Yes!!

Step-by-step explanation:

Yes, Lin can have 10 dollars in his pocket

We know that 10[tex]\leq[/tex]20 so therefore it is possible for him to have $10

Answer:

x=17

Step-by-step explanation:

Hello There!

The shown figure is a 6 sided figure and if you didn't know the interior angles of a 6 sided figure add up to equal 720

so

720=110+8x-1+5x+36+116+7x+19+6x-2

now we solve for x

step 1 combine like terms

110-1+36+116+19-2=278

8x+5x+7x+6x=26x

now we have

720=278+26x

step 2 subtract 278 from each side

720-278=442

we now have

442=26x

step 3 divide each side by 26

442/26=17

we're left with

x=17

Answer:

Q = 85°

Step-by-step explanation:

P + Q = 180° (angles on the same side of transversal)

95° + Q = 180°

Q = 180° - 95°

Q = 85°

Answer:

p(-4) = -134

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

p(x) = x³ - 3x² + 7x + 6

p(-4) is x = -4

Step 2: Evaluate

The answer is 3.5 inches for K12 test

All i did was see what coud make 49 feet.

since 1 inch = 14 feet then i did 3 x 14 which got 42.

I then just shuffled around numbers and got 3.5.

THE ANSWER IS 3.5

Very sorry if its wrong

Answer:

download symbolab or download photo math it gets I covered on most of that your grade should go up

Answer: How to solve equations

Step-by-step explanation:

You have to use Pemdas the order of operations to solve these types of equations.

Parenthesis,Exponents,multiplication,Division,Addition,subtraction.

Multiplication and division fit in a group left to right.

Addition and subtraction come last but depends on which comes first left to right.

Here you first have to use the distributive property.

3(y+5)=39 multiply 3 times y that gives you 3y. Then multiply 3 times 5 that gives you 15 . So, now you have simplified the left side of the equal sign so you have 3y+15=39 now subtract 15 from both sides and you get 3y=24 then you divide both sides by 3 to get y=8. What I just went over you do again and again to solve all these types of equations. Your trying to solve for the variable so you try to get y or m or n or any variable by itself.

Answer:

[tex]10 + \frac{8}{u}[/tex]

Step-by-step explanation:

Given

10 [tex]plus[/tex] the  [tex]quotient[/tex]of 8 and u

Required

Represent as a mathematical expression

Square out the operators

10 [[tex]plus[/tex]] the  [[tex]quotient[/tex]] of 8 and u

[tex]plus => +[/tex]

[tex]quotient => /[/tex]

Replace the operators with their signs

[tex]10 + \frac{8}{u}[/tex]

Step-by-step explanation:

nakita ko lang po kung ayaw nyo ed don't

Answer:

Option A, -15

Step-by-step explanation:

Step 1:  Look at the function that needs to be outputted when x = -3

Since x = -3, that means it falls into the first category of x ≤ -3

Step 2:  Carry out the instructions

The function for the first category is [tex]-x^{2} + 2x[/tex]

[tex]f(-3) =-(-3)^{2}+2(-3)[/tex]

[tex]f(-3) = -(9) - 6[/tex]

[tex]f(-3) = -15[/tex]

Answer:  Option A, -15

Answer:

A)  36√3

Step-by-step explanation:

First, figure out the height.  Since it's an equilateral triangle, it would be

6²+B²=12²

36+B²=144

B²=144-36

B²=108

B=√108

B=√36x√3

B=6√3

Now we can get the area.

1/2(6√3)(12) = 36√3