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const2013 [10]
3 years ago
12

The table below shows the number of tickets sold, t, at a high school basketball game, and the amount of money collected, m.

Mathematics
1 answer:
Tresset [83]3 years ago
3 0
m = t2.5

So money equals to tickets sold*2.5

2.5 is each tickets price

If you ask how I found;

$100 / 40 tickets = $2.5
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Stells [14]

his monthly income is 60000

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The ratio of a to b is 2:3, and the ratio of a to c is 3: 10. What is the ratio of b to c?
Stolb23 [73]

Answer: 3:10

Step-by-step explanation:

From the question, b= 3; c=10

Ratio of b:c will be

the value of b:value of c

=3:10

I hope you understand

4 0
3 years ago
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3 years ago
What is the area of the sector ?​
worty [1.4K]

They forget to say "not to scale".  I'm guessing this is trig because I don't see another way to do it.

Let's consider x=chord PQ first.  By the Law of Cosines

x^2 = 3^2 + 5^2 - 2(3)(5) \cos 81^\circ = 34 - 30\cos 81^\circ

We have an isosceles triangle formed by two radii of 9 cm and x=PQ.  By the Law of Cosines again,

x^2 = 9^2 + 9^2 - 2(9)(9) \cos B

x^2 = 162 - 162 \cos B

\cos B = \dfrac{162 - x^2}{162} = 1 - \dfrac{x^2}{162}

\cos B = 1 - \dfrac{34 - 30\cos 81^\circ}{162}

B = \arccos \left(1 - \dfrac{34 - 30\cos 81^\circ }{162} \right)

The area of the circle is the fraction given by the angle,

A = \dfrac{B}{360^\circ} \pi r ^2

A \approx \dfrac{ \arccos \left(1 - \dfrac{34 - 30\cos 81^\circ}{162} \right) }{360} (3.142)9^2

A\approx 24.7474332960707

Answer: 24.7 sq cm

8 0
3 years ago
In 2013, a study found that U.S. consumers consumed soft drinks with a mean of 42.2 gallons per year and variance of 169. Ninety
melisa1 [442]

Answer:

Ninety-five percent of consumers in the U.S. consumed less than 63.59 gallons.

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

The standard deviation is the square root of the variance, so \sigma = \sqrt{169} = 13

Also, the mean is 42.2, so \mu = 42.2

Ninety-five percent of consumers in the U.S. consumed less than how many gallons?

The 95th percentile, which is the value of X when Z has a pvalue of 0.95. So X when Z = 1.645

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

1.645 = \frac{X - 42.2}{13}

X - 42.2 = 13*1.645

X = 63.59

Ninety-five percent of consumers in the U.S. consumed less than 63.59 gallons.

4 0
3 years ago
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