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mixas84 [53]
2 years ago
6

Please help!! Find the value of the variables. Leave in simplest radical form.

Mathematics
1 answer:
Rasek [7]2 years ago
7 0

Answer:

Step-by-step explanation:

tan30 = 1/√3 =  17/x

=> x = 17√3

sin30 = 1/2 = 17/y

=> y = 34

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the volumes of two spheres are 729 in3 and 27 in3. what is the ratio of their radii, rounded to the nearest whole number?
MaRussiya [10]
The volumes of spheres are proportional to R³. So their 'R's
are proportional to ∛their volumes.

(729/ 27) = 27

∛27 = <u>exactly 3</u> .  No rounding required.
5 0
3 years ago
What is the first step when estimating the quotient of 36.6 / 5
andre [41]

Answer:

I'm assuming you have 4 options, and if so, the answer is A.

Step-by-step explanation:

Rounding 36.6 off to 37 will make it easier to estimate the quotient when dividing by 5. For example, I can easily come up with a solution in my head when dividing 37 to 5 but it's harder for me to come up with a solution to 36.6.

7 0
3 years ago
I attempted this and need it it was kind of confusing
worty [1.4K]

Answer: 9

Step-by-step explanation:

7 0
3 years ago
Brenda considers geometric figures and concepts that are related to lines. Which terms are considered undefined?
Umnica [9.8K]

Answer:

A, C, F

Step-by-step explanation:

4 0
3 years ago
Assume that the random variable X is normally distributed with mean u = 45 and standard deviation o = 14.
larisa86 [58]

Answer:

P(57 < X < 69) = 0.1513

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 45, \sigma = 14

Find P(57 < X < 69):

This is the pvalue of Z when X = 69 subtracted by the pvalue of Z when X = 57. So

X = 69

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

Z = \frac{69 - 45}{14}

Z = 1.71

Z = 1.71 has a pvalue of 0.9564

X = 57

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

Z = \frac{57 - 45}{14}

Z = 0.86

Z = 0.86 has a pvalue of 0.8051

0.9564 - 0.8051 = 0.1513

P(57 < X < 69) = 0.1513

4 0
3 years ago
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