At a carnival game, there is a 38% probability of winning a prize. What is the probability of not winning a prize?

A) 62%
B) 76%
C) 38%
D) 50%

Find the stationary points of the function (where the derivative is zero):

f(x) = ln(x ² + 7x + 14)

→   f '(x) = (2x + 7) / (x ² + 7x + 14)

The denominator is always positive, since

x ² + 7x + 14 = (x + 7/2)² + 7/4 ≥ 7/4 > 0

so f '(x) = 0 when

2x + 7 = 0   →   x = -7/2

at which point f (-7/2) = ln(203/4) ≈ 3.927.

Also check the endpoints of the given domain:

f (-4) = ln(2) ≈ 0.693

f (1) = ln(22) ≈ 3.091

Then on the interval [-4, 1], we have max(f ) = ln(203/4) and min(f ) = ln(2).

Answer:

30

Step-by-step explanation:

5x6=30

Answer:  S = 2(lw + lh + wh)

Step-by-step explanation:  Use this formula to find the total surface area of a prism.

Answer:

12

Step-by-step explanation:

First,

Add 45+52+15

Then the answer will be 112

Then -(minus) from 100

Answer:

18 students

Step-by-step explanation:

45 - 15 = 30 students only read physics

52 - 15 = 37 students only read chemistry

15 students read both

add all of them:

30 + 37 + 15 = 82

subtract the sum from 100

100 - 82 = 18

18 students doesn't study neither

Answer:

6x^2+7x−3

Step-by-step explanation:

(2x+3)(3x−1)

Apply the distributive property by multiplying each term of 2x+3 by each term of 3x−1.

6x^2−2x+9x−3

Combine −2x and 9x to get 7x.

6x^2+7x−3

Graph if needed:

Answer: The answer is C

Step-by-step explanation:

Answer:

the answer is C.

Answer:

137.44 units^3

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is easy to see that (-2, 0) and (0, -4) are points on the line.

gradient = (difference of y-coordinates)/(difference of x-coordinates) = (0-(-4))/(-2-0) = 4/(-2) =  -2

Answer:

the 7th

Step-by-step explanation:

Answer:

the 27th

Step-by-step explanation:

Tonnys birthday is on the 27th

Answer:

I don't know the answer

Step-by-step explanation:

rkvjtjxkfkekzdk kdkvkf

Answer:

20% × 325 =

(20 ÷ 100) × 325 =

(20 × 325) ÷ 100 =

6,500 ÷ 100 =

65

9514 1404 393

Answer:

  19,463 cm²

Step-by-step explanation:

The area is given by the formula ...

  A = (1/2)ij·sin(K)

Filling in the values, we find the area to be ...

  A = (1/2)(270 cm)(170 cm)·sin(122°) ≈ 19,463 cm²

Answer:

-10

Step-by-step explanation:

[tex]5(a-b)\\\\5(-4-(-2))\\\\5(-4+2)\\\\5(-2)\\\\\boxed{-10}[/tex]

Hope this helps!

Answer:

1/3 divided by 4

Step-by-step explanation:

Because you start off with 1/3 and then you split it into 4, 1/12's and 4*1/12 is equal to 1/3

So the answer is 1/3 divided by 4

Answer:

d ≈ 14.6 units; M (2.5, 2, 6)

Step-by-step explanation:

Using the distance formula for 3-D dimensions, you get the √(213) which equals 14.6

Then, using the midpoint formula for 3-D dimensions, you find the coordinates 2.5 for x, 2 for y, and 6 for z.

Answer:\ b.

Step-by-step explanation:

Hope this helps!!

Answer:

1) 56.52 in²

2) 565.2 ft²

3) 235.5yd²

4) 898.04 ft²

5) 942 yd²

6) 75.36 in²

Step-by-step explanation:

SA= πrS + πr²

1) (3.14)(2)(7) + (3.14)(2²) = 56.52 in²

2) (3.14)(9)(11) + (3.14)(9²) = 565.2 ft²

3) (3.14)(5)(10) + (3.14)(5²) = 235.5yd²

4) (3.14)(11)(15) + (3.14)(11²) = 898.04 ft²

5) (3.14)(10)(20) + (3.14)(10²) = 942 yd²

S =5 because 5² = 3² + 4²

6) (3.14)(3)(5) + (3.14)(3²) = 75.36 in²

Answer:

0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.

Step-by-step explanation:

For each employee hired, the are only two possible outcomes. Either it is a man, or it is a woman. The probability of a person hired being a man or a woman is independent of any other person. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

21 new employees.

This means that [tex]n = 21[/tex]

She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women.

This means that [tex]p = 0.5[/tex]

Help her address the charge of gender discrimination by finding the probability of getting three or fewer women when 21 people are hired.

This is

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{21,0}.(0.5)^{0}.(0.5)^{21} \approx 0[/tex]

[tex]P(X = 1) = C_{21,1}.(0.5)^{1}.(0.5)^{20} = 0.00001[/tex]

[tex]P(X = 2) = C_{21,2}.(0.5)^{2}.(0.5)^{19} = 0.0001[/tex]

[tex]P(X = 3) = C_{21,3}.(0.5)^{3}.(0.5)^{18} = 0.0006[/tex]

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.00001 + 0.0001 + 0.0006 = 0.00071[/tex]

0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.

Answer:

12π un^3

Step-by-step explanation:

Use the fomula: V= πr2 h

The radius is 2 and the height is 3.

I really don't know how to explain this but I can try, with a self- explanatory steps including the formula .

The work is in the screen shot goodluck.

Hope this helped!

Stay Safe!

Answer:

Think its B. but if not it should be E.

Step-by-step explanation:

Answer:

6.96 is the area of this triangle! So, option A is correct.

Hope this helps and please mark brainliest!

Answer:

125 is 62.5% of 200, hope this helps :)

there is not such thing as an I axis, but I will show you what happens for both x and y axis so you can fill out the assignment with the correct information.

IF you meant flipping over the x axis, then the dot will go from top to bottom, bottom to up, the x position won't change only its height(y position)

This meant that for reflecting across the x axis, (x,y)->(x,-y)

For y axis its the opposite, just flipping to the side.

This meant that for reflecting across the y axis, (x,y)->(-x,y)

Answer:

do you have a picture of the question

Answer:

(3,7)

Step-by-step explanation:

Use a system of equations to solve for x and y which would be the only points where the two lines intersect

x+y=10

y=2x+1

since y=2x+1 you can put 2x+1 for y

so x+2x+1=10

3x+1=10

3x=9

x=3

put that back into x+y=10

3+y=10

y=7

So the only point where those two lines intersect is (3,7)

Hope that helps :)

Please give brainliest

Answer:

1728

Step-by-step explanation:

if its a cube then all sides are the same length. you need to times to base width and height. so it will be 12 times 12 times 12 which is 1728.

Answer:

m = 8

Step-by-step explanation:

4 x 2

you just have to multiply exponents

Answer:

I think 5 gallon painting