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3 years ago

Find two numbers whose sum is 29 and whose difference is 15

1 answer:

4 0

The two numbers are 22 and 7.
22 + 7 = 29
22 - 7 = 15
here is how we can find these numbers;
let a and b are two numbers
a + b = 29
a - b = 15
a = 15 + b
now put this value of a in any of the equation
a + b = 29
15 + b + b = 29
15 + 2b = 29
2b = 29 - 15
2b = 14
b = 7
now put the value of b to find the value of a;
a = 15 + b = 15 + 7 = 22
a = 22

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A square pyramid has base edge length 6 ft. The slant height of the pyramid is 5 ft. What is the volume of the pyramid?

nadya68 [22]

Answer:

V = 60 m3

Step-by-step explanation:

Volume of a square pyramid:

V = (1/3)a2h

Slant Height of a square pyramid:

By the pythagorean theorem we know that

s2 = r2 + h2

since r = a/2

s2 = (1/4)a2 + h2, and

s = √(h2 + (1/4)a2)

This is also the height of a triangle side

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3 years ago

Add the opposite number of 1 1/5 to the sum of the numbers (−8 3/4 ) and (−2 5/6 ). Answer:

masha68 [24]

Answer:

-12 47/60

Step-by-step explanation:

-(1 1/5) + (-8 3/4 -2 5/6) = -(1 + 8 + 2 + 1/5 + 3/4 + 5/6)

= -(11 + 12/60 +45/60 +50/60) . . . 60 is the LCD of 1/5, 3/4, 5/6

= -(11 + 107/60) . . . . . . . . . . . . . . . . add the fractions

= -(12 47/60) = -12 47/60 . . . . . . . write as a mixed number

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Your graphing calculator may be able to do this for you. Many handle mixed numbers with ease.

4 0

3 years ago

Suppose a large shipment of compact discs contained 19% defectives. If a sample of size 343 is selected, what is the probability

Yuri [45]

Answer:

The value is $P( | \^p - p | < 0.04) = 0.9408$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.19$

The sample size is n = 343

Generally given that the ample size is large enough , i.e n > 30 then the mean of this sampling distribution is mathematically represent

$\mu_{x} = p = 0.19$

Generally the standard deviation is mathematically represented as

$\sigma =\sqrt{\frac{p(1- p)}{n} }$

=> $\sigma =\sqrt{\frac{0.19 (1- 0.19 )}{343 } }$

=> $\sigma = 0.0212$

Generally the the probability that the sample proportion will differ from the population proportion by less than 4% is mathematically represented as

$P( | \^p - p | < 0.04) = P( \frac{|\^ p - p |}{ \sigma_p } < \frac{0.04}{0.0212 } )$

$\frac{|\^ p - p |}{\sigma } = |Z| (The \ standardized \ value\ of \ |\^ p - p | )$

$P( | \^p - p | < 0.04) = P( |Z| < 1.887 )$

=> $P( | \^p - p | < 0.04) = P( Z < 1.887 )- P( Z < -1.887 )$

From the z table the area under the normal curve to the left corresponding to 1.887 and - 1.887 is

$P( Z < 1.887 )= 0.97042$

and

$P( Z < -1.887 )= 0.02958$

$P( | \^p - p | < 0.04) = 0.97042 - 0.02958$

=> $P( | \^p - p | < 0.04) = 0.9408$

3 0

2 years ago

A new car costs the purchase price, plus a 7.5% tax. The cost of the car can be written as x + 0.075x. Write an equivalent expre

mr Goodwill [35]

Answer:

Step-by-step explanation:

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3 years ago

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Andru [333]

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5 0

3 years ago

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