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3 years ago

Convert the angle \theta=70^\circθ=70 ∘ theta, equals, 70, degrees to radians.

Mathematics

1 answer:

Daniel [21]3 years ago

4 0

Answer:

7/18 pi

Step-by-step explanation:

To convert from degrees to radians, multiply by pi/180

70 * pi/180

7/18 pi

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If the perimeter is 284, what is the value of a? <br> Please show work xx

devlian [24]

Answer:

Step-by-step explanation:

Perimeter is 284 means the sum of the side measurements is 284.

That is, we have to solve:

$(6a+8)+(12a)+(10a-4)+(6a+8)=284$

Combine like terms:

$(6a+12a+10a+6a)+(8+0+-4+8)=284$

Simplify:

$34a+12=284$

Subtract 12 on both sides:

$34a=284-12$

Simplify:

$34a=272$

Divide both sides by 34:

$a=\frac{272}{34}$

Simplify:

$a=8$

3 0

4 years ago

Read 2 more answers

4+ y = 10<br> What is the answer and how do I solve it

julia-pushkina [17]

Answer:

y=6

Step-by-step explanation:

4+y=10

-4 -4

y=6

just subtract 4 from both sides

8 0

3 years ago

Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. The

Tems11 [23]

Answer:

The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

They randomly survey 387 drivers and find that 298 claim to always buckle up.

This means that $n = 387, \pi = \frac{298}{387} = 0.77$

84% confidence level

So $\alpha = 0.16$ , z is the value of Z that has a p-value of $1 - \frac{0.16}{2} = 0.92$ , so $Z = 1.405$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.74$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.8$

The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).

6 0

3 years ago

If the population of a town grew 21% up to 15,049,what was the population last year?

8_murik_8 [283]

Answer:

11.89

Step-by-step explanation:

6 0

4 years ago

What would the value of “c” need to be to make this a perfect square trinomial?

earnstyle [38]

144
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3 years ago