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2 years ago

Line segment SU is a diameter of circle V.

Mathematics

2 answers:

jenyasd209 [6]2 years ago

6 0

Answer:

The answer is A. 56

Roman55 [17]2 years ago

5 0

Based on the figure given:

Angle S is equal to 34 degrees.

The triangle is inscribed in a circle, we can assume that the triangle is a right triangle.

Thus, the measure of angle U is

180 - 90 - 34 = 56 degrees.

This is equivalent to the measure of the arc opposite the angle. Therefore, the measure of arc ST is also 56 degrees.
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Benali's has a bag filled with marbles. There are 7 blue marbles and 1 green marble. she reaches into the bag and pulls out a ma

vesna_86 [32]

7/8 and 6/7........................i think

7 0

3 years ago

Mastery challenge

kolezko [41]

The complete question is;

Below are last week's revenues (in thousands of dollars) for six different Nancy's Noodles locations. 6, 6.8,3.7,8.1,6.6,7

Find the median revenue.

Answer:

Median = 6.7 thousand dollars

Step-by-step explanation:

From the question, the 6 revenues in thousands of dollars are;

6, 6.8, 3.7, 8.1, 6.6, 7

To find the median, we need to arrange the terms in ascending order.

Thus, we have;

3.7, 6, 6.6, 6.8, 7, 8.1

Since the number of terms are 6,then the median term is (6 + 1)/2 = 7/2 = 3.5th term

To get the 3.5th term, we have to find the average of the 3rd and 4th terms in the series of revenue.

3rd term = 6.6 and 4th term = 6.8

Thus, median = (6.6 + 6.8)/2

Median = 13.4/2

Median = 6.7 thousand dollars

7 0

2 years ago

The transformation of 'f' is represented by 'g'. Write a rule for g. f(x)=\root(3)(x). Then show your check steps.

podryga [215]

Answer:

$g(x)=-2\sqrt[3]x$

$g(x) = -2f(x)$

Step-by-step explanation:

Given

$f(x) = \sqrt[3]x$

Required

Write a rule for g(x)

See attachment for grid

From the attachment, we have:

$(x_1,y_1) = (-1,2)$

$(x_2,y_2) = (1,-2)$

We can represent g(x) as:

$g(x) = n * f(x)$

So, we have:

$g(x) = n * \sqrt[3]x$

For:

$(x_1,y_1) = (-1,2)$

$2 = n * \sqrt[3]{-1}$

This gives:

$2 = n * -1$

Solve for n

$n = \frac{2}{-1}$

$n = -2$

To confirm this value of n, we make use of:

$(x_2,y_2) = (1,-2)$

So, we have:

$-2 = n * \sqrt[3]1$

This gives:

$-2 = n * 1$

Solve for n

$n = \frac{-2}{1}$

$n = -2$

Hence:

$g(x) = n * \sqrt[3]x$

$g(x)=-2\sqrt[3]x$

or:

$g(x) = -2f(x)$

4 0

2 years ago

Suppose 52% of the population has a college degree. If a random sample of size 563563 is selected, what is the probability that

amm1812

Answer:

The value is $P(| \^ p - p| < 0.05 ) = 0.9822$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.52$

The sample size is n = 563

Generally the population mean of the sampling distribution is mathematically represented as

$\mu_{x} = p = 0.52$

Generally the standard deviation of the sampling distribution is mathematically evaluated as

$\sigma = \sqrt{\frac{ p(1- p)}{n} }$

=> $\sigma = \sqrt{\frac{ 0.52 (1- 0.52 )}{563} }$

=> $\sigma = 0.02106$

Generally the probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as

$P(| \^ p - p| < 0.05 ) = P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 ))$

Here $\^ p$ is the sample proportion of persons with a college degree.

$P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(\frac{[[0.05 -0.52]]- 0.52}{0.02106} < \frac{[\^p - p] - p}{\sigma } < \frac{[[0.05 -0.52]] + 0.52}{0.02106} )$