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3 years ago

The sum of three consecutive integers is 21 larger than twice the smallest integer. find the integers.

1 answer:

7 0

Let the integers be x-1, x, x+1.

Given,

x -1 + x + x + 1 = 21 + 2(x - 1)

3x = 21 + 2x - 2

x = 19

Hence, the three integers are 18, 19 and 20.

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What is 10 times 45 ?

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Ten times 45 is equal to 450

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3 years ago

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A blank CD can hold 70 minutes of music. So far you have burned 25 minutes of music onto the CD. You estimate that each song las

zaharov [31]

Answer:

The possible numbers of songs that you can burn onto the CD is 11.

Step-by-step explanation:

The total storage capacity of CD = 70 minutes

Storage already used = 25 minutes

Hence, The available storage = Total available storage - Used Storage

= 70 minutes - 25 minutes = 45 minutes

Hence, the CD has 45 minutes storage left.

Now, each song takes up 4 minutes of storage.

⇒ $\textrm{Total number of songs possible} = \frac{\textrm{Total storage left}}{\textrm{Time taken by each song}}$

= $\frac{45 minutes}{4minutes } = 11.25$

⇒The number of songs possible = 11.25 ≈ 11

Hence, the possible numbers of songs that you can burn onto the CD is 11.

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2 years ago

Assume that the population proportion is 0.56. Compute the standard error of the proportion, σp, for sample sizes of 100, 200, 5

Aliun [14]

Answer:

Standard errors are 0.049, 0.035, 0.022, and 0.016.

Step-by-step explanation:

The given value of population proportion (P) = 0.56

Given sample sizes (n ) 100, 200, 500, and 1000.

Now standard error is required to calculate.

Use the below formula to find standard error.

When sample size is n = 100

$\sqrt{\frac{P(1-P)}{n}} = \sqrt{\frac{0.56(1-0.56)}{100}} =0.049$

When sample size is n = 200

$\sqrt{\frac{P(1-P)}{n}} = \sqrt{\frac{0.56(1-0.56)}{200}} = 0.035$

When sample size is n = 500

$\sqrt{\frac{P(1-P)}{n}} = \sqrt{\frac{0.56(1-0.56)}{500}} =0.022$

When sample size is n = 1000

$\sqrt{\frac{P(1-P)}{n}} = \sqrt{\frac{0.56(1-0.56)}{1000}} = 0.016$

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3 years ago

What is the area of a triangle that has a height of 6 ft and a base length of 7 feet?

Ira Lisetskai [31]

Answer: 21ft

Step-by-step explanation:

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2 years ago

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Marcus is 1.75 meters tall. His sister is 0.38 meter taller than Marcus. Their father is 0.2 meter taller than his sister. How t

Pepsi [2]

Answer:

2.33 meters tall

Step-by-step explanation:

1.75 + 0.38 + 0.2

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3 years ago