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ss7ja [257]
2 years ago
9

Given ABC is similar to DEF and BC = 8, what is the value of EF?

Mathematics
1 answer:
lbvjy [14]2 years ago
6 0

In similar triangles ratios of corresponding sides are constant, so

|AB|/|DE| = |BC|/|EF|

5/10 = 8/|EF|

|EF| = (8*10)/5 = 16

|EF| = 16

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2 years ago
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Whats 200+300= plz get it right
Basile [38]

Answer:

200+300=500

Step-by-step explanation:

200+300=500 or 100+400=500

8 0
3 years ago
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Construct a​ 95% confidence interval for the population​ mean, mu. Assume the population has a normal distribution. A random sam
aniked [119]

Given Information:  

Number of lithium batteries = n = 16

Mean life of lithium batteries = μ = 645 hours

Standard deviation of lithium batteries = σ = 31 hours

Confidence level = 95%  

Required Information:  

Confidence Interval = ?

Answer:  

CI = 628.5 \: to \: 661.5 \: hours

Step-by-step explanation:  

The confidence interval is given by

CI = \mu \pm t_{\alpha/2} (\frac{\sigma}{\sqrt{n}})

Where μ is the mean life of lithium batteries, σ is the standard deviation, n is number of lithium batteries selected, and t is the critical value from the t-table with significance level of

tα/2 = (1 - 0.95) = 0.05/2 = 0.025

and the degree of freedom is

DoF = n - 1 = 16 - 1 = 15

The critical value (tα/2) at 15 DoF is equal to 2.131 (from the t-table)

CI = 645 \pm 2.131(\frac{31}{\sqrt{16}})

CI = 645 \pm 2.131(7.75})

CI = 645 \pm 16.515

CI = 645 - 16.515 \: and \: 645 + 16.515

CI = 628.5 \: to \: 661.5 \: hours

Therefore, the 95% confidence interval is 628.5 to 661.5 hours

What does it mean?

It means that we are 95% confident that the mean life of 16 lithium batteries is within the interval of (628.5 to 661.5 hours)

6 0
3 years ago
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Liono4ka [1.6K]
For the first one x=-2
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3 0
2 years ago
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Simplify each equation. Tell whether the equation has one, no, or infinite solutions. 3x-7=3(x-3)+2
STatiana [176]

Answer: Infinite solutions

Step-by-step explanation: 3x -7 = 3(x-3)+2

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                                             3x + -7 = 3x + -9 + 2

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8 0
3 years ago
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