MATHEMATICS HIGH SCHOOL

Adult male heights are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. The average basketball player is 79 inches tall. Approximately what percent of the adult male population is taller than the average basketball player?0.13%

0.87%

49.87%

99.87%

Answers

Answer 1

Answer:

Answer: First Option is correct.

Step-by-step explanation:

Since we have given that

Mean $(\mu)$ = 70 inches

Standard deviation $(\sigma)$ = 3 inches

Average basket ball player $(\bar{X})$ = 79 inches

Since it is normally distributed assume with 5% significance .

So, it becomes,

$Z>\frac{\bar{X}-\mu}{\sigma}\n\nZ>(79-70)/(3)\n\nZ>(9)/(3)\n\nZ>3\n\n\therefore\ P(Z>3)=1-0.9987=0.0013$

At 0.05 level of significance , 0.0013 = 0.13% of the adult male population is taller than the average basketball player .

Hence, First Option is correct.

Answer 2

Answer: Kindly check this link for more details:

Therefore the answer is 0.13% is the approximate percentae of the adult male population who are taller than the average basketball player

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Simplify 8(x+3)^2/2(x+3)

Answers

The simplification of the given expression [8(x+3)²]/[2(x+3)] is 4(x + 3).

What is an expression?

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that are all constrained and create an equation.

In other meaning, expression is beneficial to determine the end or root value of constraint.

As per the given expression,

[8(x+3)²]/[2(x+3)]

⇒ 8/2 × (x+3)²/(x+3)

⇒ 4(x+3)

Hence "The simplification of the given expression [8(x+3)²]/[2(x+3)] is 4(x + 3)".

To learn more about expression,

brainly.com/question/14083225

#SPJ2

8(x+3)^2/2(x+3)

[8(x + 3)(x + 3)]/2(x + 3)

8 ÷ 2 = 4

(x + 3)(x + 3) ÷ (x + 3) = (x + 3). In other words, we cancel one of the numerator factors.

Answer: 4(x + 3).

Select the correct difference. -3z 7 - (-5z 7) 2z7 8z14 -2z7 2z

Answers

Answer:

$2z^(7))$ .

Step-by-step explanation:

Given : $-3 z^(7) - ( -5 z^(7))$

To find : Select the correct difference.

Solution : we have given

$-3 z^(7) - ( -5 z^(7))$ .

Open the parenthesis

$-3 z^(7) + 5 z^(7))$ .

By the rule ( + - = -) .

$2z^(7))$ .

Therefore, $2z^(7))$ .

-3z^7 - (-5z^7) = -3z^7 + 5z^7 = 2z^7

What is the value of the expression (3a-b)/(6(b+a)) when a = 4 and b = -2?

Answers

Answer:-2

Step-by-step explanation:3(4) - (-2) ÷ 6(-2) + 4

= 12 + 4 ÷ -12 + 4

= 16 ÷ -8

= -2

Answer:

It will be 7/6

Step-by-step explanation:

Plug the values of a and b in the expression

You should take care in the fraction first

Then it will be ( 12 + 2 )/ 6 (-2+4)

= 14 / 12 = 7/6

If two angles are alternate interior angles, what can we conclude about these angles?

Answers

When two angles are alternate interior angles, it means they are located on opposite sides of a transversal line and inside a pair of parallel lines. Here's what we can conclude about these angles:

Alternate Interior Angles are Congruent: Alternate interior angles are congruent, which means they have the same measure. In other words, the measure of one angle is equal to the measure of the other angle.

Formed by a Transversal: These angles are formed when a transversal line crosses two parallel lines. The transversal line intersects the parallel lines at different points, creating alternate interior angles.

Equal Measure: If the two parallel lines are parallel lines, the alternate interior angles will have equal measures. This is a consequence of the corresponding angles postulate, which states that when two parallel lines are intersected by a transversal, the pairs of corresponding angles are congruent.

In summary, when two angles are alternate interior angles, you can conclude that they have equal measures, and this relationship holds when the lines they are associated with are parallel.

How do you solve 7 1/5-6 2/5

Answers

7 + 1 2/6 2/5 hope this kinda helps :3

Katy wants to sell her car, which she bought six years ago for $35,000. Since then, the value of the car has depreciated and it is now estimated to sell for $5,000. Looking at the graph, what type of correlation do you see between the value of the car and the age of the car