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Rudik [331]
3 years ago
5

If two lines intersect, their intersection is _____. one plane many planes one point many points

Mathematics
2 answers:
Mumz [18]3 years ago
7 0

Answer:

I'm pretty sure the answer is "one point".

Step-by-step explanation:

If you have two lines, and they intersect, there is only one point that they intersect at. For example, if you draw a graph and two lines intersect, you will see that its only on one point.


Good luck <3


UkoKoshka [18]3 years ago
3 0

Their intersection is one plane

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(x − 5) (x + 4)

Step-by-step explanation:

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Simplify 3/4(1/2×-12)+4/5​
Wittaler [7]

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Step-by-step explanation:

Given the following expression:

\frac{3}{4}(\frac{1}{2}x-12)+\frac{4}{5}

You can follow these steps in order to simplify it:

1.  You need to apply Distributive property:

=\frac{3}{8}x-9+\frac{4}{5}

2. And now you must add the like terms. Then:

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Therefore you get the following answer:

\frac{3}{8}x-\frac{41}{5} or  \frac{3}{8}x-8\ \frac{1}{5}

7 0
3 years ago
An article in Fire Technology investigated two different foam-expanding agents that can be used in the nozzles of firefighting s
UNO [17]

Answer:

Step-by-step explanation:

Hello!

The objective of this experiment is to test if two different foam-expanding agents have the same foam expansion capacity

Sample 1 (aqueous film forming foam)

n₁= 5

X[bar]₁= 4.7

S₁= 0.6

Sample 2 (alcohol-type concentrates )

n₂= 5

X[bar]₂= 6.8

S₂= 0.8

Both variables have a normal distribution and σ₁²= σ₂²= σ²= ?

The statistic to use to make the estimation and the hypothesis test is the t-statistic for independent samples.:

t= \frac{(X[bar]_1 - X[bar]_2) - (mu_1 - mu_2)}{Sa*\sqrt{\frac{1}{n_1} + \frac{1}{n_2 } } }

a) 95% CI

(X[bar]_1 - X[bar]_2) ± t_{n_1 + n_2 - 2}*Sa* \sqrt{\frac{1}{n_1}+\frac{1}{n_2} }

Sa²= \frac{(n_1-1)S_1^2 + (n_2-1)S_2^2}{n_1 + n_2 - 2}= \frac{(5-1)0.36 + (5-1)0.64}{5 + 5 - 2}= 0.5

Sa= 0.707ç

t_{n_1 + n_2 -2: 1 - \alpha /2} = t_{8; 0.975} = 2.306

(4.7-6.9) ± 2.306* (0.707\sqrt{\frac{1}{5}+\frac{1}{5} })

[-4.78; 0.38]

With a 95% confidence level you expect that the interval [-4.78; 0.38] will contain the population mean of the expansion capacity of both agents.

b.

The hypothesis is:

H₀: μ₁ - μ₂= 0

H₁: μ₁ - μ₂≠ 0

α: 0.05

The interval contains the cero, so the decision is to reject the null hypothesis.

<u>Complete question</u>

a. Find a 95% confidence interval on the difference in mean foam expansion of these two agents.

b. Based on the confidence interval, is there evidence to support the claim that there is no difference in mean foam expansion of these two agents?

8 0
3 years ago
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