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3 years ago

10

Mathematics

1 answer:

timama [110]3 years ago

5 0

Answer:

25π units^2

Step-by-step explanation:

The shape is a quarter circle with radius 10 units.

area of circle = πr^2

area of a quarter circle = (1/4)π(10 units)^2

area = 25π units^2

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A circle is centered at P(0,0). The point W(-6, √37) is on the circle. Where does the point Z(8,3) lie?

olga_2 [115]

Answer:

On the circle

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

The radius is the distance from the centre to a point on the circle.

To calculate r use the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 6, $\sqrt{37}$ )

r = $\sqrt{(-6-0)^2+(\sqrt{37-0)^2} }$

= $\sqrt{36+37}$ = $\sqrt{73}$

Hence

x² + y² = ( $\sqrt{73}$ )²

x² + y² = 73 ← equation of circle

Substitute (8, 3) into the left side of the equation and

value < 73 → lies inside circle

value = 73 ← lies on the circle

value > 73 ← lies outside circle

(8, 3) → 8² + 3² = 64 + 9 = 73

(8, 3) lies on the circle

3 0

4 years ago

For every left-handed person, there are about 4-right handed people. If there are 30 students in a class, predict the number of

weeeeeb [17]

Answer:

24 right handed students

Step-by-step explanation:

1. Out of every 5 students, 4 are right handed and 1 is left handed. We can say that 1/5 of the class is left handed.

2. Multiply 30 by 1/5 to get 6 left handed students in the class.

3. Take the 30 students in the class and subtract the 6 left handed students.

4. The remaining 24 students must be right handed.

7 0

3 years ago

What's the simplified Expression of 5y+5-2x-2+6y-x0

ziro4ka [17]

im pretty sure its (6,0). 5.

3 0

2 years ago

Read 2 more answers

The distribution of heights of young women aged 18 to 24 is approximately normal with a mean of 64.5 inches and a standard devia

Lena [83]

The 68 - 95 - 99.7 rule, gives the basis to solve this question.

It says that for a normal distribution 95% of the results are between the mean minus 2 standard deviations and the mean plus 2 standard deviations.

Here:
mean = 64.5 inches,
standard deviaton = 2.5 inches

mean - 2 standard deviations = 64.5 inches - 5 inches = 59.5 inches

mean + 2 standard deviations = 64.5 inches + 5 inches = 69.5 inches

Then, the answer is that 95% of women range approximately between 59.5 inches and 69.5 inches.

6 0

4 years ago

Suppose weights of the checked baggage of airline passengers follow a nearly normal distribution with mean 46 pounds and standar

Alik [6]

Answer:

85.99% of airline passengers incur this fee.

Step-by-step explanation:

When the distribution is normal, we use 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.

Mean 46 pounds and standard deviation 3.7 pounds.

This means that $\mu = 46, \sigma = 3.7$