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2 years ago

For any real number b, square root b^2=

Mathematics

2 answers:

Yuki888 [10]2 years ago

8 0

Answer:

$\sqrt{b^{2} }=b$

Step-by-step explanation:

In math the square root of the number x is the number y that when its multiplied by itself the result is x. Like this:

$\sqrt{x}=y\\y*y=x$

So in this case we would have to find a number that when its multiplied by itself will give us the result $b^{2}$ . This number its $b$ because when we multiply $b$ by itself it gives us the result $b^{2}$ .

$\sqrt{b^{2} }=b$

$b*b=b^{2}$

love history [14]2 years ago

6 0

Answer:

the square root is 2

Step-by-step explanation:

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Some college graduates employed full-time work more than hours per week, and some work fewer than hours per week. We suspect tha

Alex_Xolod [135]

Answer:

a)Null hypothesis: $\mu =40$

Alternative hypothesis: $\mu \neq 40$

b) A Type of error I is reject the hypothesis that $\mu$ is equal to 40 when is fact $\mu is equal to 40c) We can commit a Type II Error, since by definition "A type II error is the non-rejection of a false null hypothesis and is known as "false negative" conclusion"Step-by-step explanation:Assuming this problem: "Some college graduates employed full-time work more than 40 hours per week, and some work fewer than 40 hours per week. We suspect that the mean number of hours worked per week by college graduates, [tex]\mu$ , is different from 40 hours and wish to do a statistical test. We select a random sample of college graduates employed full-time and find that the mean of the sample is 43 hours and that the standard deviation is 4 hours. Based on this information, answer the questions below"

Data given

$\bar X=43$ represent the sample mean

$\mu$ population mean (variable of interest)

s=4 represent the sample standard deviation

n represent the sample size

Part a: System of hypothesis

We need to conduct a hypothesis in order to determine if actual mean is different from 40 , the system of hypothesis would be:

Null hypothesis: $\mu =40$

Alternative hypothesis: $\mu \neq 40$

Part b

In th context of this tes, what is a Type I error?

A Type of error I is reject the hypothesis that $\mu$ is equal to 40 when is fact [tex]\mu is equal to 40

Part c

Suppose that we decide not to reject the null hypothesis. What sort of error might we be making.

We can commit a Type II Error, since by definition "A type II error is the non-rejection of a false null hypothesis and is known as "false negative" conclusion"

5 0

2 years ago

Read 2 more answers

Given a triangle MTN, prove that

cupoosta [38]

Answer:

$\angle m + \angle t + \angle n = 180$

Step-by-step explanation:

Required

Show that:

$\angle m + \angle t + \angle n = 180^o$

To make the proof easier, I've added a screenshot of the triangle.

We make use of alternate angles to complete the proof.

In the attached triangle, the two angles beside $\angle m$ are alternate to $\angle t$ and $\angle n$

i.e.

$\angle 1 = \angle t$

$\angle 2 = \angle n$

Using angle on a straight line theorem, we have:

$\angle 1 + \angle m + \angle 2 = 180$

Substitute values for (1) and (2)

$\angle t + \angle m + \angle n = 180$

Rewrite as:

$\angle m + \angle t + \angle n = 180$ -- proved

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2 years ago

Please show work thank you math experts

AlekseyPX

Answer:

1. 35 - 176 = -141

2. 0.55 × 1.79 = 0.9845

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1 year ago

What is 12+ 15x please

Elena L [17]

Answer: 15x+12

Step-by-step explanation: This expression is already simplified :( You can reverse the coefficients though! Both will still be equal, but you can’t simplify anymore.

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2 years ago

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e-lub [12.9K]

Answer:

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Step-by-step explanation:

Given

24 + 51

Required

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Since the cost of gas for both individuals is the same, we can conclude the following.

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This is so because it applies to both numbers in brackets

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2 years ago

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