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3 years ago

Find the area of the sector in terms of pi. 270° 12 Area = [?]

Mathematics

1 answer:

stepan [7]3 years ago

8 0

Answer:

[?] = 108

Step-by-step explanation:

$270^\circ$ is 3/4 of a whole revolution: $\frac{270^\circ}{360^\circ}=\frac{3}{4}$ so the area of the sector is 3/4 of the area of the entire circle.

Area of a circle: $A=\pi r^2$

Area of the sector: $\frac{3}{4} \pi (12^2)=\frac{3}{4}(144)\pi=108\pi$

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If g(x) = 4x + 1 and g(x) = -11, find x.

podryga [215]

Answer:

x = - 3

Step-by-step explanation:

g(x) = 4x + 1...... (1)

g(x) = -11.... (2)

From equations (1) & (2)

-11 = 4x + 1

-11 - 1 = 4x

-12 = 4x

-12/4 = x

-3 = x

x = - 3

3 0

3 years ago

It took Cedric 42 minutes to jog 12 laps. At this rate how many minutes did it take to jog each lap

Y_Kistochka [10]

3.5 each Lap. I am sure of it

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3 years ago

Read 2 more answers

Grant is trying to make money to help pay for college by taking a job with Brian’s bike taxis if Baltimore. He has an agreement

alexandr402 [8]

Grant needs to ride at least 13.33 miles to male at least $ 15.00 a day

<em><u>Solution:</u></em>

Given that Grant has an agreement with Brian to rent the bike for $35.00 a night

He charges customers $3.75 for every mile he transports them

Grant needs to make at least $15.00 a day

To find: miles needed to ride

From given question, He charges customers $3.75 for every mile he transports them

So if he transports for "x" miles he would get,

$\$ 3.75 \times x = \$ 3.75x$

So the profit he gets is $ 3.75 and initial cost invested to rent bike is $ 35. Also, Grant needs to make at least $15.00 a day

So we can frame a inequality as:

$3.75x - 35 \geq 15\\\\3.75x\geq 35 + 15\\\\3.75x\geq 50\\\\x \geq 13.33$

So he needs to ride atleast 13.33 miles to male atleast $ 15.00 a day

7 0

4 years ago

Divide 14 by v. Then, subtract 7.

Nastasia [14]

Answer:

14-7v

--------

Step-by-step explanation:

i dont understand what else the answer could be, due to the fact that not enough information if provided to result in a solid sum.

3 0

3 years ago

An article written for a magazine claims that 78% of the magazine's subscribers report eating healthily the previous day. Suppos

Schach [20]

Answer:

89.44% probability that less than 80% of the sample would report eating healthily the previous day

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .