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3 years ago

If points P and Q are contained in a plane then PQ is entirely contained in that plane

2 answers:

7 0

If P and Q are already contained in the plane then when you put them together they will be entirely in the plane.
So yes, PQ would be entirely in the plane.

lyudmila [28]3 years ago

5 0

PQ is entirely contained in that plane if both points are contained in the plane.

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Select the functions that have a value of -1. sin270° cos270° tan270° csc270° sec270° cot270°

stealth61 [152]

sin 270° has the value of -1 sweety

5 0

3 years ago

(2 points) An article in the Washington Post on March 16, 1993 stated that nearly 45 percent of all Americans have brown eyes. A

lara31 [8.8K]

Answer: a) z=1.43

b) 0.1528

Step-by-step explanation:

The given set of hypothesis :

$H_0:p=0.45$

$H_a:p\neq0.45$

Since the alternative hypothesis $H_a$ is two-tailed , so we perform two-tailed test.

Also, it is given that : A random sample of n=76 Americans found 28 with brown eyes.

Sample proportion: $\hat{p}=\dfrac{28}{76}=0.3684$

a) The z-statistic would be :-

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

$\Rightarrow\ z=\dfrac{0.3684-0.45}{\sqrt{\dfrac{0.45(1-0.45)}{76}}}=-1.4299121397\approx-1.43$

b) P-value for two-tailed test = 2P(Z>|z|)= 2P(z>|-1.43|)

=2P(z>1.43)

=2(1-P(z≤1.43)

=2-2P(z≤1.43)

= 2-2(0.9236)[Using standard z-table]

= 2-1.8472=0.1528

Hence, the P-value of the test= 0.1528

6 0

3 years ago

bianca is building a sandbox that will hold 4 cubic yards of sand. she wants it to be 18 inches deep and 2 yards wide. what will

tamaranim1 [39]

Length should be 2/5yd:

18inch*1yd/36inch=.5yd=> depth

volume= 2(length*width+lenght*depth+depth*width)

let l to be the length.

volume= 2(l*2+2(.5)+.5*2)

volume=5l+2

4=5l+2

2=5l

l=2/5

5 0

3 years ago

Covert each into algebraic equations

marshall27 [118]

Answer:

1) 2x=4x-8

2) 4(x+2)=20

3) 2x-9=4(x+5)

3 0

3 years ago

Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for

lisov135 [29]

34-0.5d=l

34-0.5d=26
34-26=0.5d
8=0.5d
8/0.5=d
16=d
16days

8 0

3 years ago