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Nata [24]
4 years ago
14

What is the length of Line BC?

Mathematics
1 answer:
timurjin [86]4 years ago
6 0
ANSWER:

10

The length of line BC is 10.

EXPLANATION:

Triangle ABC is four times the area of triangle AYX.

Area of triangle ABC = 4 × Area of triangle AYZ

This is as:

30 = 4 × 7.5

THEREFORE:

The length of line BC must be twice of the length of line XY.

BC = 2 × XY

BC = 2 × 5

BC = 10
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There were 324 adults surveyed. Among the participants, the mean number of hours of sleep each night was 7. 5 and the standard d
NeTakaya

The margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.

<h3>What is the margin of error?</h3>

The margin of error can be defined as the amount of random sampling error in the results of a survey. It is given by the formula,

\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\frac{\sigma^{2}}{n}}

\text{MOE} = margin of error

\gamma = confidence level

z_{\gamma} = quantile

σ = standard deviation

n = sample size

As it is given that the sample size of the survey is 324, while the standard deviation of the survey is 1.6.

We know that the value of the z for 95% confidence interval is 1.96. Therefore, using the formula of the standard of error we can write it as,

\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\dfrac{\sigma^{2}}{n}}\\\\\text{MOE}_{\gamma}=1.96 \times \sqrt{\dfrac{1.6^{2}}{324}}\\\\\text{MOE}_{\gamma}=0.1742

Hence, the margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.

Learn more about Margin of Error:

brainly.com/question/6979326

5 0
3 years ago
5/9 4.9 meters tall ratio
Keith_Richards [23]
5 + 9 = 14

4.9 / 14 = 0.35

0.35 * 5 = 1.75

0.35 * 9 = 3.15

The answer is 1.75 / 3.75
8 0
4 years ago
Forty-five is 30% of what number? A. 45 B. 67 C. 135 D. 150
Novosadov [1.4K]
Hello,

Your correct answer would be: 150, b/c .30 times 150 equal's 45.

Hope this helps 150 is your answer!

~HotTwizzlers
7 0
3 years ago
Read 2 more answers
Mark congruent angles. Write down the ratios.
Cloud [144]

Answer:

ratio=AC/FD=AB/ED=BC/FE

Step-by-step explanation:

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3 years ago
Solve the system of equations y= x squared + 3x-6 and y=2x-6
beks73 [17]

Answer:

 Slope = 4.000/2.000 = 2.000

 x-intercept = 6/2 = 3

 y-intercept = -6/1 = -6.00000

Step-by-step explanation:

Step by step solution :

Step  1  : Equation of a Straight Line

Graph of a Straight Line

Calculate the Y-Intercept

Calculate the X-Intercept

Calculate the Slope

Answer for y=2x-6  is below

Answer:  

Slope = 4.000/2.000 = 2.000

 x-intercept = 6/2 = 3

 y-intercept = -6/1 = -6.00000

<em><u>Hope this helps.</u></em>

5 0
3 years ago
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