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2 years ago

the painted lines that separate parking spaces are parallel. The measure of amgle 1 is 60. what us the measure of angle 2

Mathematics

2 answers:

Serggg [28]2 years ago

8 0

Answer:

Step-by-step explanation:

they are parallel, so they are equal, exactly side by side.

so if one angle is 60 and is the one next to it is the same angle its 60

erastovalidia [21]2 years ago

6 0

Answer:

60 degrees

Step-by-step explanation:

Angles 1 and 2 are "corresponding angles" and as such are equal. Thus, the measure of angle 2 is 60 degrees.

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Marie has 55 in her bank account and she would like to buy a video game system that cost 395. Marie save $60 for each hour she w

irinina [24]

Answer:

6 hours

Step-by-step explanation:

She already has $55, so we can subtract that from $395.

395-55 = 340

So now we can figure out how many hours she needs to work. We'll set up the problem like this, where x = the number of hours needed:

60x = 340

Divide each side by 60: x = 5.666(repeating decimal)

Rounding up to the nearest hour, Marie needs to work 6 hours.

6 0

2 years ago

Exercise 6.22 provides data on sleep deprivation rates of Californians and Oregonians. The proportion of California residents wh

kherson [118]

Answer:

a. The alternative hypothesis H₀: p'₁ ≠ p'₂ is accepted

b. Type I error

Step-by-step explanation:

Proportion of California residents who reported insufficient rest = 8.0%

Proportion of Oregon residents who reported insufficient rest = 8.8%

p'₁ = 0.08 * 11545 =923.6

p'₂ = 0.088 * 4691=412.81

σ₁ = $\sqrt{n*p_1*q_1} = \sqrt{n*p_1*(1-p_1)}$ = $\sqrt{11545*0.08*(1-0.08)}$ = 29.15

σ₂ = $\sqrt{n*p_2*q_2} = \sqrt{n*p_2*(1-p_2)}$ = $\sqrt{4691*0.088*(1-0.088)}$ = 19.40

Samples size of California residents n₁ = 11,545

Samples size of Oregon residents n₂ = 4,691

Hypothesis can be constructed thus

Let our null hypothesis be H ₀: p'₁ = p'₂

and alternative hypothesis H ₐ: p'₁ ≠ p'₂

Then we have

$z =\frac{(p'_1 -p'_2)-(\mu_1-\mu_2)}{\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2} } }$

The test statistics can be computed by

t₀ = $\sqrt{\frac{n_1n_2(n_1+n_2-2)}{n_1+n_2} } *\frac{p_1'-p_2'}{\sqrt{(n_1-1)\sigma_1^2+(n_2-1)\sigma_2^2} }$ = 1104.83

c from tables is P(T ≤ c) = 1 - α where α = 5% and c = 1.65

since t₀ ≥ c then then the hypothesis is rejected which means the alternative hypothesis is rejected

b. Type I error, rejecting a true hypothesis

5 0

2 years ago

Ryan has a $3000 bond with a 6% coupon. How much interest wil Ryan receive for this bond every 6 months

katen-ka-za [31]

I know 6% of $3000 is $180

But I don't understand the rest of the question.

8 0

2 years ago

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A basketball team has eight boys and four girls on the roster. The boys average 12 points each. The team averages 136 points as

Lorico [155]

I hope this helps you

6 0

1 year ago

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What is the lateral area of a right rectangular prism that has rectangular bases measuring 3" by 5" and a height of 6"?

Mademuasel [1]

Answer:

The answer is the option A

$96\ in^{2}$

Step-by-step explanation:

we know that

The lateral area of a right rectangular prism is equal to

$LA=P*h$

where

P is the perimeter of the base

h is the height of the prism

Find the perimeter

$P=2*(3+5)=16\ in$

$h=6\ in$

substitute in the formula

$LA=16*6=96\ in^{2}$

6 0

2 years ago

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