I need these please

Answer: See below

Step-by-step explanation:

Let A represent an adult who visited a therapist

Let B represent an adult who used a non-prescription antidepressant

Given:
P(A) = 0.28 P

P (B) = 0.43

P(A Intersection B) = 0.22

a) P(B ∩ A) = P (B ∩ A) / P(A) = 0.22/0.27

P(B | A) = 0.79 or 79%

b)  P(A ∩ B) = P (A ∩ B) / P(B) = 0.22/0.4.3

P(A | B) = 0.51 or 51%

Answer:

(a)  44.44%

(b)  71.43%

Step-by-step explanation:

Let A = adults who visited a therapist.

Let B = adults who used antidepressants.

Therefore:

[tex]\boxed{\begin{minipage}{5 cm}\underline{Conditional Probability formula}\\\\A given B:\\\\$\sf P(A|B)=\dfrac{P(A \cap B)}{P(B)}$\\\end{minipage}}[/tex]

To calculate the probability that an adult visited a therapist (Event A) during the past year, given that he or she used antidepressants (Event B), use the conditional probability formula for A given B:

[tex]\implies \sf P(A | B)=\dfrac{PA \cap B)}{P(B)}[/tex]

[tex]\implies \sf P(A | B)=\dfrac{0.2}{0.45}[/tex]

[tex]\implies \sf P(A | B)=0.444444...[/tex]

[tex]\implies \sf P(A | B)=44.44\%\;\; (nearest\; hundredth)[/tex]

[tex]\boxed{\begin{minipage}{5 cm}\underline{Conditional Probability formula}\\\\B given A:\\\\$\sf P(B|A)=\dfrac{P(A \cap B)}{P(A)}$\\\end{minipage}}[/tex]

To calculate the probability that an adult used antidepressants (Event B), given that he or she visited a therapist (Event A) during the past year, use the conditional probability formula for B given A:

[tex]\implies \sf P(B | A)=\dfrac{P(A \cap B)}{P(A)}[/tex]

[tex]\implies \sf P(B | A)=\dfrac{0.2}{0.28}[/tex]

[tex]\implies \sf P(B | A)=0.714285714...[/tex]

[tex]\implies \sf P(B | A)=71.43\%\;\; (nearest\; hundredth)[/tex]

Answer:

A

Step-by-step explanation:

No explaintion sorry.

Hope this helps!

Answer:

Here is an example: if we have a rectangle that has a length 3 and a height of 4 and the scale drawing with a scale factor of 2, how many times bigger is the scale drawings area? The original shape is 3 by 4 so we multiply those to find the area of 12 square units.

Answer:

9

27

Step-by-step explanation:

the scale factor of area is 3² = 9

the scale factor of volume is 3³ = 27​

Answer:

because it's an odd exponent

Step-by-step explanation:

-2^3 = -(2*2*2)

(-2)^3 = (-2)*(-2)*(-2)

if it was ^4 the sign would be flipped:

-2^4 = -(2*2*2*2) = -16

(-2)^4 = (-2)*(-2)*(-2)*(-2) = 16

The way to put this is that any negative base raised to an odd-numbered power, will result in a negative result, whereas any negative base raised to an even-numbered power, will result in a positive result, with the EXCEPTION of a negative base written WITHOUT grouping symbols. For instanse:

[tex]\displaystyle -1000 = -10^3 \\ -1000 = [-10]^3 \\ \\ BUT \\ \\ 10000 ≠ -10^4\:[-10000 = -10^4] \\ 10000 = [-10]^4[/tex]

I hope you know the differense now, and as always, I am joyous to assist anyone at any time.

Answer:

Step-by-step explanation:

∠WTX = ∠WUV (facing same arc WV)

9x + 18 = 15x

6x = 18

x = 3

In ΔXUV,

∠VXU = 180 - 15x - (3x + 21)

= 180 - 18x - 21

= 159 - 18(3)

= 159 - 54

= 105°

Ok so, 42 ft. by 42 ft.

$25 per square yard

1 square yard = 9 square feet

The total square footage is 1,764 ft.

Total square yards is 196.

The total cost would be $4,900.

Answer:

I think your answer is 73".

I think it will help you

Answer:

the third root

Step-by-step explanation:

Answer:

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

The perimeter is the outside of the rectangle

Step-by-step explanation:

You see this by looking at the outside and the answer is 4 by 3

Answer:

7 pieces

Step-by-step explanation:

Hope it helps.

The common factors for 24,36,12 24 , 36 , 12 are 1,2,3,4,6,12 1 , 2 , 3 , 4 , 6 , 12 . The GCF (HCF) of the numerical factors 1,2,3,4,6,12 1 , 2 , 3 , 4 , 6 , 12 is 12 .

Solution:

Step-1: Find the volume of the rectangular prism.

Step-2: Find the volume of the small cube.

Step-3: Divide.

Thus, 560 cubes are needed to fill the rectangular prism.

Answer:

times them

Step-by-step explanation:

all the numbers

Answer:

18, 19, and 20.

Step-by-step explanation:

Consecutive means beside. Numbers 2 and 3 are consecutive integers. Given this question, numbers 6, 8, and 9 could possibly be the answer. However, we don't know this, so let's represent the 6 as x, 7 as x+1. 9 is x+2. We know when these are added together the sum is 57, so 3x+3 should be 57. Now, solve as a normal algebraic question.

Answer:

  46 -8i

Step-by-step explanation:

Multiplication of complex numbers is done in a fashion similar to multiplication of any binomials. The difference is that i² = -1, so some terms can be combined.

  (3 -10i)(2 +4i) = 3(2 +4i) -10i(2 +4i)

  = 6 +12i -20i -40i² = 6 -8i +40

  = 46 -8i

_____

Your calculator may be able to help.

The conditions for inference is not met in the question due to the fact that the large count condition is not met.

This is the condition in statistics that states that the numbers of the successes and the failures have to be greater than 10 for there to be a normal distribution.

Using this formula n(1-p) ≥ 10. The probabilioty is 95%, therefore it would be less than 10

Read more on statistics here: https://brainly.com/question/15525560

Step-by-step explanation:

remember, that a/a = 1, and this is always the "whole" in such fraction scenarios.

in our case here : 9/9 or 3/3.

4 books for 2/9 of his money.

8 books for then 2× 2/9 = 4/9 of his money.

that is together

12 books for 6/9 = 2/3 of his money.

that leaves 3/9 = 1/3 of his money for the 2 identical bags.

so, 1/3 of his money for 2 bags.

how many bags for the whole (3/3) money ?

1/3 × x = 3/3

x = 3

he could have bought 3×2 = 6 bags with the original sum of money.

Answer:

13.4

Step-by-step explanation:

You multiple all of numbers and divide it by 4

Answer:

The probability of pulling out a green skittle in decimal form is 0.5

Step-by-step explanation:

Hope that helps

Answer:

a) 45°=x

b) not

................

Answer:

c = 21º

d = 100º

Step-by-step explanation:

In questions like this, always find the angles you can find and it will help you find more and more.

So let's start by finding angle e. We know that the sum of the angles in any triangle is equal to 180. So let's do 180 - (20 + 20) = 140

angle e = 140º

Now we don't know either C or D and are unable to find them with only e, so let's find other angles to help us. The 4 angles that aren't known at each corner of the square are easy to find, as we know for sure that they fully equal to 90º. So 90 - 20 = 70º. Both angles at the bottom corners = 70º. Now for the top corners: top left = 90 - 30 = 60º and top right = 90 - 40 = 50º.

As well as this, we can find a and b as well, but I think you already figured that out. angle a: 180 - (30 + 40) = 110º, angle b: 360 - (140 + 110) = 209º

Now we can figure out c and d, because we know that the sum of all angles in any quadrilateral is 360º. So the trapezium on the left, angle c: 360 - (70 + 60 + 209) = 21º. And finally right trapezium, angle d: 360 - (70 + 140 + 50) = 100º

Answer:

x = 9

Step-by-step explanation:

8 : 3 = 24 : x

=> 8/3 = 24/x

=> x = 24 x 3 / 8

=> x = 3 x 3

=> x = 9

Answer:

Item 2

Perimeter is (5*2) + 12.5*2 = 35 ft

Area is 12.5 * 5 = 62.5 ft^2

________________

Item 3

perimeter is (5.8*2) + 9*2 = 29.6 ft

Area is 9 * 4.8 = 43.2 ft^2

Step-by-step explanation:

Hope to help you

Formular of area. you can find in internet. If you forgot.

and perimeter can take length each side to sum.

Answer:

y=3/4x

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-(-3))/(4-(-4))

m=(3+3)/(4+4)

m=6/8

m=3/4

y-y1=m(x-x1)

y-(-3)=3/4(x-(-4))

y+3=3/4(x+4)

y=3/4x+12/4-3

y=3/4x+3-3

y=3/4x

Answer:

[tex]\frac{2}{3} + \frac{1}{5} = \frac{10}{15} +\frac{3}{15} = \frac{13}{15}[/tex]

PLEASE BRANLIEST ANSWER IS CORRECT I CHECKED

Step-by-step explanation:

First, find the least common denominator which is 15.

[tex](\frac{5}{5})\frac{2}{3} + (\frac{3}{3})\frac{1}{5}[/tex]

When we multiply by 5/5 or 3/3 we are not changing the value of the fraction, just turning the denominator into one which we can work with the other fraction's denominator.

After simplification:

[tex]\frac{10}{15} + \frac{3}{15}[/tex]

Now we can add:

[tex]\frac{13}{15}[/tex]

Answer:

13/15

Step-by-step explanation:

because 5 x 2=10                  3 x 1=3

              5 x 3=15                5 x 3=15

   10/15+3/15= 13/15

Answer:

32 by using triangle taerem

Answer:

It is 45 degree angle

Step-by-step explanation:

AB is the tilted angle of the triangle

BC is the height and the vertical part of the triangle

If AB is 10 then BC is 5 and AC is possibly about 6-8

If that is so then 2 right triangles is a square

A square has 90 degree angles on any angle

Divide 90 by 2 which is 45 because a right triangle is half of a square

Therefore angle ABC is 45 degrees