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kirill [66]
3 years ago
6

the measure of 2 complementary angles are in the ratio 1:4. what are the degree measures of the 2 angles

Mathematics
1 answer:
BaLLatris [955]3 years ago
8 0

Angles are 18° and 72°

Step-by-step explanation:

  • Step 1: Find the two complementary angles in the ratio 1:4. Let the angles be 1x and 4x.

x + 4x = 90° (∵ they are complementary)

5x = 90

∴ x = 90/5 = 18

⇒ Angles are 18° and 4x = 72°

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The company’s cost of manufacturing a single 1-inch binder is $0.25. What is the expected profit (in dollars) that the company w
pav-90 [236]

It should be noted that the mean and the standard deviation of the data given in will be 4.26 and 1.1011 respectively.

<h3>How to solve the mean.</h3>

From the complete information, the mean will be calculated as:

= (0.02 × 1) + (0.09 × 2) + (0.12 × 3) + (0.15 × 4) + (0.62 × 5)

E(X) = 4.26

The standard deviation will be calculated thus:

E(X²) = (0.02 × 1²) + (0.09 × 2²) + (0.12 × 3²) + (0.15 × 4²) + (0.62 × 5²)

E(X²) = 19.36

The standard deviation will then be the difference between the square root of 19.36 and 4.26². This will be 1.1011.

The expected profit of the company will be:

= 0.75 × E(X)

= 0.75 × 4.26

= $3.20

The mean of the total number of binders purchased will be:

= 4.26 + 2.74 = 7

The standard deviation will be 1.6658.

Lastly, the total expected profit will be:

= 0.75E(X) + 1.45E(Y)

= 0.75(4.26) + 1.45(2.74)

= 3.195 + 3.973

= 71.68

Learn more about standard deviation on:

brainly.com/question/24298037

4 0
2 years ago
600,000+80,000+10 in a form
Nezavi [6.7K]
680,010 is the answer
7 0
3 years ago
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Mr. Jubran goes to a restaurant and has a bill of $32.57. He uses a 10% off coupon
GaryK [48]

Answer:

$36.97  

The cost of the meal was $32.57 and he used a 10% off coupon. You can make 10% equal to 0.1 because . Now do . This is the discount, so you want to subtract this from the original to get the actual price of the meal, .

The tax was 8% so this means he is adding

5 0
2 years ago
There are 495 coins in a bottle.
Scilla [17]

Answer:

The total value is £268.20.

Step-by-step explanation:

Given : There are 495 coins in a bottle.

1/3 of the coins are £1 coins.

124 of the coins are 50p coins.

The rest of the coins are 20p.

To find : Work out the total value of the 495 coins?

Solution :

According to question,

Total coins = 495

\frac{1}{3} of the coins are £1 coins.

i.e.  The number £1 coins are

\frac{1}{3}\times 495 =165

So, We have £165

124 of the coins are 50p coins.

50p=£0.50

Number of coins were

124\times0.50 =62

So, We have £62 .

Remaining coins were,

495-(124+165)=206

i.e. remaining coins are 206 are of 20p.

20p=£0.20

Number of coins were

206\times0.20 =41.20

So, We have £41.20 .

Now, Adding all of them together,

i.e. £165+£62+£41.20=£268.20

So, The total value is £268.20.

5 0
3 years ago
What is the area of the rhombus shown below?
Tamiku [17]

Answer:

B. 110.5 square units

Step-by-step explanation:

The area of a rhombus is half the product of the diagonals.

A = (MK * JL)/2 = 13 * 17/2 = 221/2 = 110.5

5 0
3 years ago
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