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Helga [31]
3 years ago
5

Angle APR is vertical with Angle SPL. If Angle APR = 13x - 30, and Angle SPL = 3x + 70, what is the value of x?

Mathematics
1 answer:
Luba_88 [7]3 years ago
6 0

Answer:

The value of x is 10.

Step-by-step explanation:

If APR and SPL are vertical angles, then we get that \angle APR = \angle SPL. Given that \angle APR = 13\cdot x -30 and \angle SPL = 3\cdot x + 70, we find that the value of x is:

13\cdot x - 30 = 3\cdot x +70

10\cdot x = 100

x = 10

The value of x is 10.

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i think its b

Step-by-step explanation:

5 0
3 years ago
A new restaurant with 134 seats is being planned. Studies show that 62​% of the customers demand a​ smoke-free area. How many se
zzz [600]

Answer: 100

Step-by-step explanation:

Given : The total number of seats planned in new restaurant =134

The percentage of customers demand a​ smoke-free area = 62%

It can also be written as 62\%=\dfrac{62}{100}=0.62

The mean of this binomial distribution will be :-

\mu=np\\\\\mu=(134)(0.62)=83.08

Standard deviation:-

\sigma=\sqrt{np(1-p)}\\\\\Rightarrow\sigma=\sqrt{134(0.62)(0.38)}\approx5.6

Now, the number of seats should be in the​ non-smoking area in order to be very sure ​of having enough seating​ there :-

\mu+3\sigma=83.08+3(5.6)=99.88\approx100

4 0
3 years ago
The manufacturer of the ColorSmart-5000 television set claims 95 percent of its sets last at least five years without needing a
patriot [66]

Answer:

Step-by-step explanation:

Hello!

Your study variable is X: "number of ColorSmart-5000 that didn't need repairs after 5 years of use, in a sample of 390"

X~Bi (n;ρ)

ρ: population proportion of ColorSmart-5000 that didn't need repairs after 5 years of use. ρ = 0.95

n= 390

x= 303

sample proportion ^ρ: x/n = 303/390 = 0.776 ≅ 0.78

Applying the Central Limit Theorem you approximate the distribution of the sample proportion to normal to obtain the statistic to use.

You are asked to estimate the population proportion of televisions that didn't require repairs with a confidence interval, the formula is:

^ρ±Z_{1-\alpha /2}* √[(^ρ(1-^ρ))/n]

Z_{1-\alpha /2} = Z_{0.995} = 2.58

0.78±2.58* √[(0.78(1-0.78))/390]

0.0541

[0.726;0.834]

With a confidence level of 99% you'd expect that the interval [0.726;0.834] contains the true value of the proportion of ColorSmart-5000 that didn't need repairs after 5 years of use.

I hope it helps!

7 0
3 years ago
The base of a cube is 1/4 ft squared. Whats the volume of the cube? also can you explain your answer so i can answer other quest
MrMuchimi
It would be 1/64 I hope this helps with your question.
8 0
3 years ago
Read 2 more answers
If y varies directly as x, and y = 12 when x = 72, then what is the value of x when y = 3 ?
qwelly [4]

Answer:

x = 18

Step-by-step explanation:

difference between y = 12, x=72 is 6

so if y = 3 then multiply 3×6 = 18

8 0
2 years ago
Read 2 more answers
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