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3 years ago

a circular mirror has a diameter of 22 inches which measurement is closest to the area of the mirror in square inches

Mathematics

1 answer:

Verdich [7]3 years ago

7 0

Answer:

379.94 square inches

Step-by-step explanation:

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The annual salaries of employees in a large company are approximately normally distributed with a mean of $50,000 and a standard

Lena [83]

Answer:

The probability of randomly selecting one employee who earned less than or equal to $45,000=0.00621

Step-by-step explanation:

We are given that

Mean, $\mu=50000$

Standard deviation, $\sigma=2000$

We have to find the probability of randomly selecting one employee who earned less than or equal to $45,000.

$P(x\leq 45000)=P(\frac{x-\mu}{\sigma}\leq \frac{45000-50000}{2000})$

$P(x\leq 45000)=P(Z\leq-\frac{5000}{2000})$

$P(x\leq 45000)=P(Z\leq -2.5)$

$P(x\leq 45000)=0.00621$

Hence, the probability of randomly selecting one employee who earned less than or equal to $45,000=0.00621

6 0

3 years ago

Find the value of the missing variables.

dsp73

Answer:

$x^{\circ}=35^{\circ}\\ \\y^{\circ}=55^{\circ}$

Step-by-step explanation:

The measure of arc which the right triange cuts from the circle is $70^{\circ},$ this means the central angle has the same measure.

Angle with measure $x^{\circ}$ is inscribed angle subtended on the given arc. Its measure is half the measure of the central angle, hence

$x^{\circ}=\dfrac{1}{2}\cdot 70^{\circ}=35^{\circ}$

Angles with measures $x^{\circ}$ and $y^{\circ}$ are complementary angles (add up to 90°), so

$y^{\circ}=90^{\circ}-35^{\circ}=55^{\circ}$

6 0

3 years ago

Which shows a correct comparison? A: 5 milliliters > 50 liters B: 2 liters < 200 milliliters C: 100 liters < 1,000 mill

Angelina_Jolie [31]

Answer:

Step-by-step explanation:

Note that

> means greater than

< means less than

for example : 2 < 3 means 2 is less than 3

3 >2 means 3 is greater than 2

To determine which comparison is better we have to convert litre to millimetre

1 litre = 1000mm

A 5 mm > (50 x 1000)

5 mm > 50,000

5 is not greater than 50,000

B. (2 x 1000) < 200 mm

2000 < 200

2000 is not less than 200

C. (100 x 1000) < 1,000

100,000 < 1000

100,000 is not less than 1000

D. 3200 > (3 X 1000)

3200 > 3000

3200 is greater than 3000

7 0

3 years ago

6. Riley let his friend borrow $12,750. He wants to be paid back in 4 years and is going to charge his friend a 5.5% interest ra

svp [43]

Answer: A: He will earn in all $1,482.96 and he will earn $296.52 per month.

B:$14,232.96

Step-by-step explanation:

4 0

3 years ago

Consider the diagram below. Which of the following is the value of X?

Vaselesa [24]

Answer:

x=20

Step-by-step explanation:

45= measure of angle 6 (vertical angles)

45+ 5x+35 = 180 (Supplementary angles)

x=20

8 0

3 years ago