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Delvig [45]
3 years ago
5

Use the figure to complete the sentence.

Mathematics
1 answer:
guapka [62]3 years ago
3 0
Angle 2 are corresponding angles
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A large company claims that the average age of their employees is 32 years, with a standard deviation of 4 years. The average ag
4vir4ik [10]

Given that average age of employees of a large company is Normal

X - average age of employees

X:N(32,4)

The average age of employees in sales dept is 27 years.

Prob that an employee, chosen at random, will be younger than 27 years.

= P(X<27)

Let us convert x into Z

Z = (x-32)/4 = -5/4 = -1.25

Reqd prob = P(Z<-1.25) =0.5-0.3925

= 0.1075

Hence 10.56% is the correct answer.

3 0
3 years ago
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What is the slope of the line 2x+5y=25
natali 33 [55]
You can put this solution on YOUR website! You must first get the equation into slope-intercept format: y = mx + b. . 2x+-+5y+=+-25<span> . Subtract </span>2x<span> from both sides</span>
6 0
3 years ago
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Can you help me please (get brainliest)
marta [7]

9514 1404 393

Answer:

  4/25

Step-by-step explanation:

Put the numbers where the letters are and do the arithmetic.

  \left(2\cdot\dfrac{-1}{2}\cdot\dfrac{2}{5}\right)^2=\left(\dfrac{-2}{5}\right)^2=\dfrac{(-2)^2}{5^2}=\boxed{\dfrac{4}{25}}

6 0
3 years ago
A box of 25 munchkins cost $5.46 what is the unit rate per munchkin
timurjin [86]

The unit rate per munchkin is $0.22.

<h3>What is Division?</h3>

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

The cost of 25 munchkins cost $5.46, therefore, the unit rate of each munchkin can be written as,

\text{Cost of unit munchkin} = \dfrac{\text{Total cost of munchkins}}{\text{Number of munchkins}}\\\\\text{Cost of unit munchkin} = \dfrac{\$5.46}{25}=\$0.2184 \approx \$0.22

Hence, the unit rate per munchkin is $0.22.

Learn more about Division:

brainly.com/question/369266

#SPJ1

5 0
2 years ago
Amy gets a new kennel for her dog. A sketch of the kennel is shown here. If the roof is in the shape of a triangular prism (bott
SpyIntel [72]

Answer:

<em>Surface area of the roof of the kennel, including the bottom face is 58.96 ft^2</em>

<em></em>

Step-by-step explanation:

The image is attached below

For the triangular sides of the roof, area is

A = \frac{1}{2}bh

where b is the base = 4 ft

h is the vertical height = 2.24 ft

A =  \frac{1}{2}*4*2.24 = 4.48 ft^2

for the two faces we have 2 x 4.48 ft^2 = <em>8.96 ft^2</em>

For the rectangular sections of the roof, area is

A = lh

where l is the length of the rectangle = 5 ft

h is the height of the rectangle = 3 ft

A = 5 x 3 = 15 ft^2

For the two rectangular faces, we have 2 x 15 ft^2 = <em>30 ft^2</em>

<em></em>

For the bottom face, area is

A = lw

where l is the length of the house = 5 ft

w is the width of the house = 4 ft

A = 5 x 4 = <em>20 ft^2</em>

<em></em>

Surface area of the roof of the dog kennel is

<em>8.96 ft^2 + 30 ft^2 + 20 ft^2 = 58.96 ft^2</em>

4 0
3 years ago
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