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3 years ago

State a true conclusion. 1) If two planes intersect, their intersection is a line. 2) Plane R and plane S intersect. Conclusion:

Mathematics

2 answers:

nordsb [41]3 years ago

8 0

Answer: The answer is "the intersection is a line".

Step-by-step explanation: The concept of lines and planes that we studied in geometry are familiar to us. For example-

(i) The intersection of two lines is a point.

(ii) A plane consists of a line and a point not on the line, etc.

Like these, we have another fact that suppose there are two planes. Then we have two options

(a) They do not intersect with each other.

(b) If they do so, then their intersection is a line.

See the attached figure, there are two planes P and Q, which intersect at the line AB.

Since the given two planes intersect, the using the above fact we can say that their intersection is a line.

Thus, the conclusion is "the intersection of two intersecting planes is a line."

Vesna [10]3 years ago

4 0

Two planes that intersect are simply called a plane to plane intersection. When they intersect, the intersection point is simply called a line.

Therefore, Plane R and Plane S form a line when they intersect.

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According to the US Bureau of labor statistics, 7% of US female workers between 16 and 24 years old are paid at the minimum wage

vladimir1956 [14]

Answer:

The Null Hypothesis is $H_o:k_o = 0.07$

The alternative hypothesis is $H_a :k_o \ne 0.07$

Decision rule

If the test staistics is greater than the critical value of significance level then $H_o$ is accepted else $H_o$ is rejected

With the above in mind

The critical value of the significance level which is obtained from the table is

$t_{0.05} = 1.645$

Now since the critical value of significance level is greater than the test staistics then the null hypothesis will be rejected

Conclusion

The information is not enough to back the claim that state differs from the nation

Step-by-step explanation:

From the question we are told that

The percentage of US female workers paid at the minimum wage or less is $k_o =$ 7% = 0.07

The sample size is $n = 500$

The number paid minimum wage or less is x = 42

The significance level is $\alpha =$ 5% = 0.05

Now the probability of getting a US female workers paid at the minimum wage or less is mathematically represented as

$\= k = \frac{x}{n}$

substituting value

$\= k = \frac{42}{500}$

$\= k = 0.084$

The Null Hypothesis is $H_o:k_o = 0.07$

The alternative hypothesis is $H_a :k_o \ne 0.07$

Generally the test statistics is mathematically evaluated as

$z = \frac{\= k - k_o}{\sqrt{\frac{k_o(1-k_o)}{n} } }$

substituting value

$z = \frac{0.084 - 0.07}{\sqrt{\frac{0.07 (1-0.07)}{500} } }$

$z = 1.23$

Now the Decision rule is stated as

If the test staistics is greater than the critical value of significance level then $H_o$ is accepted else $H_o$ is rejected

With the above in mind

The critical value of the significance level which is obtained from the table is

$t_{0.05} = 1.645$

Now since the critical value of significance level is greater than the test staistics then the null hypothesis will be rejected

So the conclusion will be

The information is not enough to back the claim that state differs from the nation

4 0

3 years ago

Why is the answer D?

Sedaia [141]

Step-by-step explanation:

Inflection points are where a function changes concavity (the second derivative changes signs). At x = 4, f"(x) goes from negative to positive, so that's an inflection point. However, at x = 8, we don't know if f"(x) changes signs or not. So we can't say that that's an inflection point.

4 0

3 years ago

12−3/4(d+16)=−5 ANSWER FOR D

antoniya [11.8K]

D=20/3 or in decimal form d=6.666, it keeps going

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2 years ago

How many real sixth roots are in 15,625?

Murljashka [212]

There are two real roots (5 and -5) and 4 imaginary roots

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3 years ago

Write the formula for calculating taxable income.

Harlamova29_29 [7]

Answer:

taxable income = adjusted income - (deductions + Allowances/Exemptions)

Step-by-step explanation:

Taxable income is the type of income on which a person has to pay tax to the government. Taxable Income is calculated by subtracting the deductions and exemptions from the adjustable income.

With deductions you can either have itemized deductions or standard deductions.

Standard deduction consist of deductions like if a couple is married then they will have the deductions and if there are dependents of a person then he will have a standard deduction.

Itemized deductions consist of mortgages values, medical expenses, charity works etc.

This will help us to find the value of our taxable income

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2 years ago