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3 years ago

Which of the following describes the probability distribution below?

Mathematics

1 answer:

Serhud [2]3 years ago

4 0

Answer:

B. Median is greater than the mean and the majority of data points are to the right of the mean.

Step-by-step explanation:

Mean = sum(x × p(x))

= (1×0.1)+(2×0.15)+(3×0.2)+(4×0.45)+(5×0.1)

= 3.3

Probability of more than 3.3 is:

0.45 + 0.1 = 0.55 > 0.5

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3. Solve the inequality –2(z + 5) + 20 > 6.

12345 [234]

$\boxed{-2\left(z+5\right)+20>6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:z$

Solution:

Given inequality is:

$-2(z+5)+20>6$

We have to solve the given inequality

$-2\left(z+5\right)+20>6\\\\\mathrm{Subtract\:}20\mathrm{\:from\:both\:sides}\\\\-2\left(z+5\right)+20-20>6-20\\\\\mathrm{Simplify}\\\\-2\left(z+5\right)>-14$

$Multiply\ both\ sides\ by\ -1\ \left(reverse\:the\:inequality\right)$

Whenever we multiply or divide an inequality by a negative number, we must flip the inequality sign

$\left(-2\left(z+5\right)\right)\left(-1\right)$

Thus the solution to inequality is:

$-2\left(z+5\right)+20>6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:z$

4 0

3 years ago

Find m∠X. Put the answer below. m∠X =

Vika [28.1K]

Answer: 30 deg

Step-by-step explanation:

This is an example of a 30-60-90 triangle because the proportions of the sides are 1-2-sqrt(3). Therefore m<X = 30 degrees.

3 0

2 years ago

If a person bikes 6 miles in 15 minutes, how far can she bike in 1.5 hours?

Natalka [10]

Answer:

$36\:miles$

Step-by-step explanation:

There is one-and-a-half hour in ninety minutes, so multiply 6 by 15 to get 90, then whatever is done to the bottom is also done to the top, so you square 6 to get 36.

I am joyous to assist you anytime.

8 0

3 years ago

X/x+2 = 4/5. Solve for x.

gregori [183]

X/x+2 = 4/5

5x = 4x + 8

5x - 4x = 8

x= 8

4 0

3 years ago

Read 2 more answers

Evaluate the function Is it a b c or D

jarptica [38.1K]

I think that the answer is D

7 0

3 years ago