MATHEMATICS HIGH SCHOOL

Solve for x: 3 < x + 3 < 66 < x < 9
6 > x > 9
0 < x < 3
0 > x > 3

Answers

Answer 1

Answer:

Answer:

C. 0 < x < 3

Step-by-step explanation:

Given:

3 < x + 3 < 6

Substract 3 from each side:

3 - 3 < x + 3 - 3 < 6 - 3
0 < x < 3

Correct choice is C

Answer 2

Answer:

3<x+3<6

Subtract 3

3-3<x<6-3
0<x<3

Option C

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Assume that women's heights are normally distributed with a mean given by u = 64.3 in, and a standard deviation given by 0 = 2.7 in. (a) f 1 woman is randomly selected, find the probability that her height is less than 65 in. (b) if 43 women are randomly selected, find the probability that they have a mean heightless than 65 in. (a) The probability is approximately I. (Round to four decimal places as needed.) 4

Answers

Answer:

0.9533

Step-by-step explanation:

(a) Probability that a randomly selected woman's height is less than 65 inches:

Using the z-score formula:

�

−

�

X−μ

Where:

�

X = 65 inches

�

μ = 64.3 inches

�

σ = 2.7 inches

�

−

64.3

2.7

≈

0.2593

2.7

65−64.3

≈0.2593

Now, find the probability associated with this z-score, which is approximately 0.6010 (rounded to four decimal places).

(b) Probability that the mean height of 43 randomly selected women is less than 65 inches:

Using the Central Limit Theorem:

�

μ (mean of the sample means) remains 64.3 inches.

�

sample mean

(standard deviation of the sample means) is calculated as

2.7

≈

0.4115

2.7

≈0.4115.

Now, find the z-score for a sample mean of 65 inches:

�

−

64.3

0.4115

≈

1.6924

0.4115

65−64.3

≈1.6924

The probability associated with this z-score is approximately 0.9533 (rounded to four decimal places).

Wil offer 15 points to whoever can PLEASE answer this for me!! ill help with your question too

Answers

The area of the circle is 16*16*pi=256pi. We can calculate 3/4 of the circle's area for the part not represented by the triangle and the shaded area, and then add in the triangle. 3/4 of the circle's area is 192pi.

The triangle is a right triangle with two legs of length 16. Therefore, it's area is 16*16/2=128, and the total area is 192pi+128, or 731.2.

The angles below form a linear pair.
What is the measure of angle ABC?

Answers

The measure of angle ABC from the given figure is 132 degree.

Given that, ∠CBD is 48°.

When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°.

Here, ∠ABC+∠CBD=180°

∠ABC+48°=180°

∠ABC=180°-48°

∠ABC=132°

Therefore, the measure of angle ABC from the given figure is 132 degree.

Learn more about the linear pair here:

brainly.com/question/17401000.

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Please help only have 10 mins to finish this test

Answers

Answer:

The maximum height (vertex) is at (0,256), which is also when it began (Y-Intercept). It will take 4 units for it to hit the ground.

Let us know how you do on the test.

What is the value of g(-4)?

Answers

The value of g(-4) is 1. The correct option is C

What is a Piece-Wise Function?

A function that has a different sub-function for different intervals of the domain is called Piece-Wise Function

The functions for the different interval is

g(x)= $\rm \sqrt[3]{x+5}$ , x ≤ -4

= -x² +11 , x > -4

The value of g(-4) will be determined by using g(x)= $\rm \sqrt[3]{x+5}$

Substituting the value x = -4

g(x) = $\rm \sqrt[3]{-4+5}$

g(x) = ∛1

g(x) = 1

Therefore, The value of g(-4) is 1. The correct option is C

To know more about piece-wise function

brainly.com/question/27973487

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Dawn is making an abstract painting with two triangles. The dimensions of the painting are shown below: Two triangles share the same height of 8 inches. One triangle has a base of 6 inches and the other is 10 inches.

The total area of the two triangles is _____ square inches.

Numerical Answers Expected!