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2 years ago

Find the measures of ∠X and ∠Y.

Mathematics

1 answer:

mojhsa [17]2 years ago

3 0

Answer:

so u see

Step-by-step explanation:

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Two ratios that are equivalent to 2 : 9

NeTakaya

Answer:

4 : 18, 8 : 36

Step-by-step explanation:

We multiply to find equal ratios.

2 x 2 = 4

9 x 2 = 18

4 x 2 = 8

18 x 2 = 36

We get 4 : 18, 8 : 36.

7 0

3 years ago

Read 2 more answers

Write an equation of a circle that has the center at the origin and goes through (-3,-6)

dexar [7]

Answer:

$x^{2} +y^{2} = 45$

Step-by-step explanation:

General Equation of circle is

$(x-x_1)^{2} +(y-y_1)^{2} = r^{2}$ ----------- (1)

Here

$(x_1, y_1)= (0, 0)$

Radius r is distance from origin (x1, y1) to point (x2, y2)=(-3, -6)

$r=\sqrt{(x_2-x_1)^{2} + (y_2-y_1)^{2} }$

$r= \sqrt{(-3-0)^{2} + (-6-0)^{2} }$

$r= \sqrt{9+36}$

$r=\sqrt{45}$

Substituting values in equation (1)

$(x-0)^{2} +(y-0)^{2} =( \sqrt{45})^{2}$

$x^{2} +y^{2} = 45$

6 0

2 years ago

What is equivalent to 40/64

Nadya [2.5K]

Answer: 5/8

Step-by-step explanation:

8 0

3 years ago

I’m unsure how to solve this... help?

dem82 [27]

Time taken is equal to distance divided by speed
So time is 50/5 = 10 seconds

5 0

3 years ago

Read 2 more answers

A math professor notices that scores from a recent exam are normally distributed with a mean of 61 and a standard deviation of 8

Alexeev081 [22]

Answer:

a) 25% of the students exam scores fall below 55.6.

b) The minimum score for an A is 84.68.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 61 and a standard deviation of 8.

This means that $\mu = 61, \sigma = 8$

(a) What score do 25% of the students exam scores fall below?

Below the 25th percentile, which is X when Z has a p-value of 0.25, that is, X when Z = -0.675.

$Z = \frac{X - \mu}{\sigma}$

$-0.675 = \frac{X - 61}{8}$

$X - 61 = -0.675*8$

$X = 55.6$

25% of the students exam scores fall below 55.6.

(b) Suppose the professor decides to grade on a curve. If the professor wants 0.15% of the students to get an A, what is the minimum score for an A?

This is the 100 - 0.15 = 99.85th percentile, which is X when Z has a p-value of 0.9985. So X when Z = 2.96.

$Z = \frac{X - \mu}{\sigma}$

$2.96 = \frac{X - 61}{8}$

$X - 61 = 2.96*8$

$X = 84.68$

The minimum score for an A is 84.68.

8 0

3 years ago