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Dmitriy789 [7]
2 years ago
15

Select the correct answer.

Mathematics
1 answer:
BARSIC [14]2 years ago
5 0
It’s b
x=3
found by the vertex
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At Bridgeview School,7/10 of the total students are driven to school by their parents. Another 1/6 of the total students at Brid
jarptica [38.1K]

Answer: 2/15

Step-by-step explanation:

We are given the information that at Bridgeview School, 7/10 of the total students are driven to school by their parents and that 1/6 of the total students at Bridgeview School ride the bus.

The fraction of the students that walk to school would be:

= 1 - (7/10 + 1/6)

= 1 - (21/30 + 5/30)

= 1 - 26/30

= 4/30

= 2/15

5 0
3 years ago
Solve for x. The triangles in each pair are similar. <br>​
KatRina [158]

Answer:

Step-by-step explanation:

You need to pay very close attention to the triangle similarity statement.  This says that triangle NML is similar to triangle NVU.  But if you look at the way that triangle NVU is oriented in its appearance, it's laying on its side.  We need to set it upright so that angle N is the vertex angle, angle V is the base angle on the left, and angle U is the base angle on the right.  When we do that we see that sides NV and NM are corresponding and exist in a ratio to one another; likewise with sides VU and ML.  Setting up the proportion:

\frac{NV}{NM}=\frac{VU}{ML}

Filling in:

\frac{12}{36} =\frac{9}{9x}

Cross multiply to get

324 = 108x

and x = 3

3 0
3 years ago
Simplify the expression using the Distributive Property.<br><br> ½(10x + 20y)
marusya05 [52]

Answer:

Step-by-step explanation:

The distributive property affects both terms.

1/2 * 10x + 1/2 * 20 y

5x + 10 y <===== Answer

3 0
3 years ago
Read 2 more answers
Suppose a 90% confidence interval for the mean salary of college graduates in a town in Mississippi is given by [$38,737, $50,46
JulsSmile [24]

Answer:

a. The point estimate was of $44,600.

b. The sample size was of 16.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between the two bounds, divided by 2.

a. What is the point estimate of the mean salary for all college graduates in this town?

Mean of the bounds, so:

(38737+50463)/2 = 44600.

The point estimate was of $44,600.

b. Determine the sample size used for the analysis.

First we need to find the margin of error, so:

M = \frac{50463-38737}{2} = 5863

Relating the margin of error with the sample size:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.64.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

For this problem, we have that \sigma = 14300, M = 5863. So

M = z\frac{\sigma}{\sqrt{n}}

5863 = 1.645\frac{14300}{\sqrt{n}}

5863\sqrt{n} = 1.645*14300

\sqrt{n} = \frac{1.645*14300}{5863}

(\sqrt{n})^2 = (\frac{1.645*14300}{5863})^2

n = 16

The sample size was of 16.

7 0
3 years ago
HELP PLEASEEEEE!!!! ILL GIVE BRAINLIEST
MAVERICK [17]

Answer:

they cost 13.86666666666667

Step-by-step explanation:

6 0
3 years ago
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