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3 years ago

Given the graph below, find PQ

2 years ago

I’m on partitioning a line segment and I can’t seem to figure out how to do it. Given EF with E(-7,4) and F(-4,5), if G lies on EF such that the ratio of EG to GF is 1:2,find the coordinates of G.

1 answer:

Neporo4naja [7]3 years ago

5 0

Answer:

(-5, -1) = P (2, -5) = Q

Step-by-step explanation:

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Consider a normal population distribution with the value of σ known. (a) what is the confidence level for the interval x ± 2.81σ

sammy [17]

The confidence level would be 99.5%.

When we know the confidence level, we find the z-score by:
Dividing the CL by 100;
Subtracting this result from 1;
Dividing this result by 1;
Subtracting this result by 1.

Algebraically, this looks like:
$1-(\frac{1-(\frac{CL}{100})}{2})$

Using a z-table (http://www.z-table.com), we see that a z-score of 2.81 results in an area under the curve of 0.9975, so we now have
$1-(\frac{1-(\frac{CL}{100})}{2})=0.9975$

To begin solving this, we will subtract 1 from both sides:
$-(\frac{1-(\frac{CL}{100})}{2})=-0.0025
\\
\\(\frac{1-(\frac{CL}{100})}{2})=0.0025$

We will now multiply both sides by 2:
$1-\frac{CL}{100}=0.005$

Subtract 1 from both sides:
$-\frac{CL}{100}=-0.995
\\
\\\frac{CL}{100}=0.995$

Multiply both sides by 100:
CL = 99.5

7 0

3 years ago

BRAINLIEST!!!!!

Eduardwww [97]

Here are the answers:
1.D
2.D
3.C
4.A
5.C

3 0

3 years ago

The product of a constant factor 15 and a 2-term factor x+4

dezoksy [38]

The product of 15 and $x+4$ is $15(x+4) = 15x+60$ . This is a linear binomial.

$4x^3-2x-9-(2x^3)$ is a cubic trinomial. In your original question, I'm not sure what the $5x+3$ means.

6 0

2 years ago

Mrs. Pender shows her students 2 sticks measuring 6 inches and 2 sticks measuring 8 inches. She asks the students to arrange the

Llana [10]

Answer:

Reggies makes sence

Step-by-step explanation:

5 0

3 years ago

In triangle ABC, angle = 90 degrees. AC = 7, BC = 12. AB = _______ Measure of angle A = _______ Measure of angle B = _______

Ulleksa [173]

Answer:

AB = 13.89

Measure of angle A = 59.74°

Measure of angle B = 30.26°

Step-by-step explanation:

The given parameters are;

∠C = 90°

AC = 7

BC = 12

Part 1

Hence, the question has the dimensions of the two adjacent sides of the right angle (angle 90°)

From Pythagoras theorem, we have;

A² = B² + C²

Where, A is the opposite side to the right angle, hence;

In the ΔABC,

AB ≡ A

Therefore;

AB² = AC² + BC² = 7² + 12² = 193

∴ AB = √193 = 13.89

Part 2

∠A is the side opposite side BC such that by trigonometric ratios

$tan \angle A = \frac{Opposite \, side \, to \, angle \, A}{Adjacent \, side \, to \, angle \, A} = \frac{BC}{AC} = \frac{12}{7} = 1.714$

∴ ∠A = Arctan(1.714) or tan⁻¹(1.714) = 59.74°

Part 3

∠B is found from knowing that the sum of the angles in a triangle = 180°

∴ ∠A + ∠B + ∠C = 180° which gives

59.74° + 90° + ∠B = 180°

Hence, ∠B = 180° - (59.74° + 90°) = 180° - 149.74° = 30.26°.

7 0

3 years ago

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