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3 years ago

Can someone help please

Mathematics

1 answer:

tatuchka [14]3 years ago

8 0

9514 1404 393

Answer:

5.87

Step-by-step explanation:

The tangent relation tells you ...

Tan = Opposite/Adjacent

tan(50°) = 7/BC

BC = 7/tan(50°)

BC ≈ 5.87

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3 years ago

20% of 150 is what number?

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A survey measures the motivation, attitudes, and study habits of freshman in college. Freshmans’ scores on this survey range fro

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Answer:

Option A) 0.0074

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 110

Sample mean, $\bar{x}$ = 20

Sample size, n = 100

Alpha, α = 0.05

Population standard deviation, σ = 115.35

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 110\\H_A: \mu \neq 110$

We use two-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{115.35 - 110}{\frac{20}{\sqrt{100}} } = 2.675$

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P-value = 0.0074

Thus, the correct answer is

Option A) 0.0074

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4 years ago

Daniel used 4 red markers and 8 blue markers, What is the ratio ofthe

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Answer:

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Step-by-step explanation:

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3 years ago

7. In how many ways can the same 5-question True / False quiz be

goldenfox [79]

Answer:

243 ways

Step-by-step explanation:

Calculating the number of posible outcomes:

We have n trials.

Each trial has m possible outcomes.

The total number of outcomes is:

$T = m^{n}$

In this question:

5 questions, that is, 5 trials, so $n = 5$

Each question has 3 options(True, false or unanswered). So $m = 3$

How many ways?

$T = 3^{5} = 243$

3 0

3 years ago