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4 years ago

14

A window that is in the shape of a semicircle has a diameter of 28inches. find the area of the window. Round to the nearest tent

h

1 answer:

Vanyuwa [196]4 years ago

4 0

20 is your answer if you are rounding to your nearest tenth

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At a gig 0.4 of the audience were female. If there were 100 more male audience members than female, how many were there in the a

pickupchik [31]

Number of females = f
Total number of people in audience = n

0.4n = f
f + (f+ 100) = n
2f + 100 = n

Find n:
f = 0.4n --> Replace f with 0.4n in the equation 2f +100 = n

2(0.4n) + 100 = n --> Multiply out the brackets
0.8n + 100 = n --> Subtract 0.8n from both sides
100 = 0.2n --> To get n, multiply both sides by 5
n = 500

There were 500 people in the audience.

3 0

3 years ago

A crate contains cylindrical cans of soup for shipment. Each crate is a cube with side lengths of 14in. Each soup can is 6in tal

dalvyx [7]

Each cube has a side length of 14 in.
Each can of soup is 6 in tall and has a diameter of 3.5 in.

Refer to the figure shown below.

Top view:
For each side of the crate, number of cylinders that can fit in the crate is
14/3.5 = 4
Therefore 4² = 16 cylinders can be fitted in the crate (top view).

Side view:
The number of cylinders that can be stacked up in the crate is
14/6 = 2.333
Therefore only 2 rows are cylinders can be stacked up.

The total number of cylinders that will fit in a crate is 16*2 = 32.

Note:
Computing volumes for the crate and for a soup can will give wrong answers.
The volume of a soup can is V₁ = (3.14/4)*(3.5²)*6 = 57.6975 in³
The volume of a crate is V₂ = 14³ = 2744 in³
Therefore
V₂/V₁ = 47.55, that is 47 cans per crate.
The problem is that the geometry of the cans will make it impossible to fit 47 cans into the cube.

Answer: 32 soup can per crate.

6 0

3 years ago

The interest rate on a car loan has decreased 29.3% over the last 10 years and is now 7.7%. What was the rate 10 years ago?

Ludmilka [50]

We know that the interest decreased by 29.3%, therefore what was left now is simply just 70.7% of the original, therefore we divide this by 0.707

rate = 7.7% / 0.707

rate = 10.89%

<span>So the rate was 10.89% 10 years ago</span>

4 0

3 years ago

A company has 2 machines that manufacture widgets. An older machine manufactures 25% defective widgets, while the new machine ma

Bingel [31]

Answer:

73.90%

Step-by-step explanation:

Let Event D=Defective, D' = Non Defective

Let Event N=New Machine, N' = Old Machine

From the given information:

$P(D|N')=0.25\\P(D|N)=0.09\\P(N)=0.7\\P(N')=0.3$

We are required to calculate the probability that a widget was manufactured by the new machine given that it is non defective.

i.e. $P(N|D')$

$P(D'|N')=1-P(D|N')=1-0.25=0.75\\P(D'|N)=1-P(D|N)=1-0.09=0.91$

Using Baye's Law of conditional Probability

$P(N|D')=\dfrac{P(D'|N)P(N)}{P(D'|N)P(N)+P(D'|N')P(N')} \\=\dfrac{0.91*0.7}{0.91*0.7+0.75*0.3}\\ =0.73897\\\approx 0.7390$

Therefore given that a selected widget is non-defective, the probability that it was manufactured by the new machine is 73.9%.

5 0

3 years ago

PLEASE HELP ME!! I CAN'T FIGURE OUT THIS QUESTION ON PRODIGY REEEEEEEEE I'LL GIVE BRAINLIEST

ira [324]

Answer:

She can buy 8 bags of soil

Step-by-step explanation:

2.7s + 14.9 < 39.2

Subtract 14.9 from both sides

2.7s < 39.2 - 14.9

2.7s < 24.3

Divide both sides by 2.7

s < 24.3 /2.7

s < 8.89

8 0

3 years ago

Read 2 more answers