A,) 20
B.) 75
C.) 10
D.) 3

Answer:

[tex]Mean = \$15[/tex]

[tex]Standard\ Deviation = \$53.85[/tex]

Step-by-step explanation:

Given

See attachment for probability distribution

Required

Determine the mean and the standard deviation

The mean of the distribution is:

[tex]Mean = E(x)[/tex]

and

[tex]E(x) = \sum x * P(x)[/tex]

So, we have:

[tex]Mean = \$500 * 0.01 + \$100 * 0.05 + \$25 * 0.20 + \$0 * 0.74[/tex]

[tex]Mean = \$5 + \$5 + \$5 + \$0[/tex]

[tex]Mean = \$15[/tex]

So:

[tex]E(x) = 15.00[/tex]

The standard deviation of the distribution is:

[tex]S = \sqrt{Var(x)}[/tex]

Where:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

[tex]E(x^2) = \sum x^2 * P(x)[/tex]

So, we have:

[tex]E(x^2) = 500^2 * 0.01 + 100^2 * 0.05 + 25^2 * 0.20 +0^2 * 0.74[/tex]

[tex]E(x^2) = 2500 + 500 + 125 +0[/tex]

[tex]E(x^2) = 3125[/tex]

So:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

Where

[tex]E(x^2) = 3125[/tex]

[tex]E(x) = 15.00[/tex]

[tex]Var(x) = 3125 - 15^2[/tex]

[tex]Var(x) = 3125 - 225[/tex]

[tex]Var(x) = 2900[/tex]

Recall that:

[tex]S =\sqrt{Var(x)[/tex]

[tex]S =\sqrt{2900[/tex]

[tex]S =53.85[/tex]

Answer:

where is it at

Step-by-step explanation:

Answer:

It is C.

III is saying that the two functions are inverse functions. If two functions, f(x) and g(x) are inverse, then f(g(x)) = x and g(f(x)) = x. Therefore, we see that if III is true, then I and II should also be true. Now, all we have to prove is that f(x) and g(x) are inverse functions. As we said before, if two functions are inverse, then f(g(x)) = x and g(f(x)) = x.

f(g(x)) = 3([tex]\sqrt[3]{\frac{x-2}{3} }[/tex])^3 + 2

f(g(x)) = 3[(x-2)/3]+2

f(g(x)) = x-2 + 2

f(g(x)) = x

Therefore, we have proved that f(g(x)) = x, and so f(x) and g(x) are inverse functions, and so all of I, II, and III are true. Thus, the answer is C.

fyi, we didn't have to do g(f(x)) because if f(g(x)) = x, then so will g(f(x)).

Answer:

7

Step-by-step explanation:

answer is 7

Step-by-step explanation:

Answer:

cake 90

Step-by-step explanation:

8×5×2=90

length ×width ×height

Answer:

perimeter =52cm

hope it helps.

Answer:

52 cm (second opinion)

Step-by-step explanation:

add all the sides

Answer:

58 inches

Step-by-step explanation:

Perimeter means the sum of length of all sides of a figure.

So, the perimeter of this triangle would also be the sum of the length of its sides.

It has 3 sides.

19 in, 16 in and 23 in.

So, its perimeter equals 19 + 16+ 23

which equals 58 inches!

So, the perimeter would be 58 inches.!

Answer:

-.4685

Step-by-step explanation:

[tex]x^y=z\\y=log_zy\\10^{x+2}=34\\x+2=log_{10}34\\x+2=log34\\x+2=1.531478917\\x=-.468521083[/tex]

Answer:

Uranus, Neptune, Saturn, Jupiter

Step-by-step explanation:

l

Answer:

Obtuse Triangle.

Step-by-step explanation:

An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In this case, 110° is more than 90°. So, its an obtuse angle. If one angle of the triangle is obtuse, then the other two angles with always be acute.

Hence, this is an obtuse triangle

The triangle with the given measures is obtuse angle triangle. Therefore, option B is the correct answer.

An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.

Given that, a triangle has three angles of 36°, 34°, and 110°.

Here, one of the angle measure more than 90°, that is 110°.

Sum of remaining two angles is 36°+34°

= 70°

Therefore, option B is the correct answer.

Learn more about the obtuse angle triangle here:

https://brainly.com/question/1581660.

#SPJ3

Answer:

the height is 11 units the base is 12 units and the area is (i think) 84

Answer:

85 hours

Step-by-step explanation:

Number of hours per day = 13 hours

Number of days = 6

Number of hours worked for 6 days = 6 days × 13 hours

= 78 hours

then he worked 7 hours

Total Number of hours worked = Number of hours worked for 6 days + 7 hours

= 78 hours + 7 hours

= 85 hours

Total Number of hours worked = 85 hours

Answer:

MOBiLe LeGenD BaNG bAnG

Step-by-step explanation:

1s

2s

3s

4s

5s

mobile legend bang bang

Susan can maximum spend $30.95 on dog food and the inequality to manage her bill is 150C + 30D ≤ 3250.

The idea of inequality, which is the state of not being equal, especially with regard to status, rights, and opportunities, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse. However, some distinctions are shared.

Given, Susan is required to buy pet food for her local pet shelter. She buys food for both dogs and cats, but the dog food costs twice what the cat food costs. She needs to feed 150 cats and 30 dogs. Her budget is $3250

Let the price of cat food be C and the price of dog food be D.

Since the price of both cants is exceed 3250. Thus,

inequality shows their relationship is

150C + 30D ≤ 3250

Also given, the price of dog food is twice the price of cat food

C = D/2

150D/2  + 30D  ≤ 3250

105D  ≤ 3250

D  ≤ 3250/105

D  ≤ 30.95

Therefore, The most Susan can spend on dog food is $30.95, and the inequality to handle her bill is 150C + 30D  ≤  3250.

Learn more about inequalities here:

https://brainly.com/question/29166625

#SPJ2

Answer:

5.33333 (repeating)

Step-by-step explanation:

Answer:

5.333333 and the 3 is infinite.

Step-by-step explanation:

Answer:

The answer is C both the mean and median are 6

Step-by-step explanation:

Answer:

4 and 3/4 inches less for April

and 1 and  1/2 inches  less for March

Step-by-step explanation:

Answer:

40% or 4/10

Step-by-step explanation:

Answer:

its 40%

Step-by-step explanation:

A.P.E.X.

Answer:

1. 4-2=2

2.2 10/21

Step-by-step explanation:

Answer:

B) 55°

Step-by-step explanation:

55+70=125

180-125=55

or

Isosceles means 2 angles are the same, so it's 55°.

Answer:

B) 55°

Step-by-step explanation:

if it's an isosceles triangle then the third angle must be either 55° or 70°

and it cannot be 70 because 70+70+55 = 195° and a triangle only has 180°

Answer:

i believe its 3

Step-by-step explanation:

sorry if im wrong

The Answer is B.

Its a Cubic function and this does not graph a line.

The first option

y=5 (A straight line)

for Y=-8x

Using Y=Mx + c

M is the slope

So it has a slope of -8.

Answer:

(D)

Use the law of sines:

(E)

Find the third angle:

Use the las of sines:

Answer:

8

Explanation:

A good way to find the area of a figure with diagonal lines is to find the area of the section that has full squares and then add the other parts together and find the area of that. As you can see in the polygon, there are four units in the middle that don't get cut off by the diagonal line. The area of that part of the figure is 1*4 = 4. Now, if you take out that section, and move the other parts together, you can find their area and then add it to 4. The other parts of the polygons are triangles, and when you move them together, they form the same shape as the middle section did, and have an area of 4. The area of the entire figure is the area of one section plus the area of the other. 4 + 4 = 8

I hope that makes sense :)

Answer:The answer is z

Step-by-step explanation:

Answer:

I'm pretty sure the answer is 6!

Step-by-step explanation:

it takes 6 to get to 13 from 7

and it takes 6 to get to 19 from 13

Answer:

y intercept is (0,4)

Step-by-step explanation:

Answer: [tex]49.79\ m[/tex]

Step-by-step explanation:

Given

The volume of the spherical solid is [tex]V=123,456\ m^3[/tex]

It is melted to form a solid cube

Suppose the edge length of the cube is [tex]a[/tex]

The volume of the sphere is  [tex]\frac{4}{3}\pi r^3[/tex]

[tex]\Rightarrow 123,456=a^3\\\Rightarrow a^3=123,456\\\text{Factorising 123,456}\\\Rightarrow a^3=2^6\times 3\times 643\\\\\Rightarrow a=\sqrt[3]{2^6\times 3\times 643} \\\\\Rightarrow a=4\sqrt[3]{ 3\times 643}\\\\\Rightarrow a=49.79\ m[/tex]