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4 years ago

If two lines intersect, then exactly one plane contains both lines.

2 answers:

4 0

If two points intersect,then their intersection is a line.A line contains at least twon points. if two lines intersect then exactly one plain contains both lines.

Rufina [12.5K]4 years ago

3 0

If two points lie in a plane, then the line joining them lies in that plane (Postulate 5). If two planes intersect, then their intersection is a line (Postulate 6). A line contains at least two points (Postulate 1). If two lines intersect, then exactly one plane contains both lines (Theorem 3)

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A school chorus has 45 sixth-grade students and 70 seventh-grade students. The music director wants to make groups of performers

Fittoniya [83]

5 groups with 9 sixth-grade students and 14 seventh-grade students in each.

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hope it helps

5 0

3 years ago

Read 2 more answers

A paper reported that in a representative sample of 282 American teens age 16 to 17, there were 71 who indicated that they had s

elena-s [515]

Answer:

$z=\frac{0.252 -0.25}{\sqrt{\frac{0.25(1-0.25)}{282}}}=0.0776$

$p_v =P(z>0.0776)=0.4691$

Since the p value is higher than the significance level so then we can conclude that we have enough evidence to FAIL to reject the null hypothesis and there is no evidence in order to say that the true proportion of teens more than a quarter of Americans age 16 to 17 have sent a text message while driving is higher than 0.25

Step-by-step explanation:

Information provided

n=282 represent the sample selected

X=71 represent the teens indicated that they had sent a text message while driving

$\hat p=\frac{71}{282}=0.252$ estimated proportion of teens indicated that they had sent a text message while driving

$p_o=0.25$ is the value that we want to test

$\alpha=0.01$ represent the significance level

z would represent the statistic

$p_v$ represent the p value

System of hypothesis

We want to check if more than a quarter of Americans age 16 to 17 have sent a text message while driving, and the hypothesis are:

Null hypothesis: $p\leq 0.7$

Alternative hypothesis: $p > 0.25$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.252 -0.25}{\sqrt{\frac{0.25(1-0.25)}{282}}}=0.0776$

Decision

The p value for this case is:

$p_v =P(z>0.0776)=0.4691$

8 0

4 years ago

Determine the equation of the line that passes through points (-4,5) and has a slope of m = -3

zheka24 [161]

Answer:

y=-3x-7

Step-by-step explanation:

You want to find the equation for a line that passes through the point (-4,5) and has a slope of -3.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was -3. So you can right away fill in the equation for a line somewhat to read:

y=-3x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-4,5). When x of the line is -4, y of the line must be 5.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the -3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-4,5).

So, why not plug in for x the number -4 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-4,5). y=mx+b or 5=-3 × -4+b, or solving for b: b=5-(-3)(-4). b=-7.

4 0

3 years ago

What is 40 x 40? Solve that!

jolli1 [7]

Answer: The answer is 1600.

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

For what value of x is r(x)= -21??

Naily [24]

Answer:

Rx= - 21

Rx/r= - 21/r

X=-21/r

4 0

1 year ago