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between which two numbers is the whole number qoutient of 88 divided by 5 write the numbers in the boxes (the number choices: 5, 10, 15, 20, 25)

Answers

Answer 1

Answer:

Answer:

15 and 20

Step-by-step explanation:

When dividing 88 by 5 we wil have;

88/5

= 17 3/5

= 17 + 0.6

= 17.6

So we are to find the two numbers that 17.6 falls in between

From the given option 17.6 falls between 15 and 20. Hence the required numbers are 15 and 20

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The amount of time a passenger waits at an airport check-in counter is random variable with mean 10 minutes and standard deviation of 2 minutes. Suppose a random sample of 50 customers is observed. Calculate the probability that the average waiting time waiting in line for this sample is (a) less than 10 minutes (b) between 5 and 10 minutes

Answers

Answer:

(a) less than 10 minutes

= 0.5

(b) between 5 and 10 minutes

= 0.5

Step-by-step explanation:

We solve the above question using z score formula. We given a random number of samples, z score formula :

z-score is z = (x-μ)/ Standard error where

x is the raw score

μ is the population mean

Standard error : σ/√n

σ is the population standard deviation

n = number of samples

(a) less than 10 minutes

x = 10 μ = 10, σ = 2 n = 50

z = 10 - 10/2/√50

z = 0 / 0.2828427125

z = 0

Using the z table to find the probability

P(z ≤ 0) = P(z < 0) = P(x = 10)

= 0.5

Therefore, the probability that the average waiting time waiting in line for this sample is less than 10 minutes = 0.5

(b) between 5 and 10 minutes

i) For 5 minutes

x = 5 μ = 10, σ = 2 n = 50

z = 5 - 10/2/√50

z = -5 / 0.2828427125

= -17.67767

P-value from Z-Table:

P(x<5) = 0

Using the z table to find the probability

P(z ≤ 0) = P(z = -17.67767) = P(x = 5)

= 0

ii) For 10 minutes

x = 10 μ = 10, σ = 2 n = 50

z = 10 - 10/2/√50

z = 0 / 0.2828427125

z = 0

Using the z table to find the probability

P(z ≤ 0) = P(z < 0) = P(x = 10)

= 0.5

Hence, the probability that the average waiting time waiting in line for this sample is between 5 and 10 minutes is

P(x = 10) - P(x = 5)

= 0.5 - 0

= 0.5

MATH QUESTION PLEASE HELPPP ASAP, DUE IN AN HOUR

Answers

Answer:

Perimeter = $(30-(3)/(2)x)$

Step-by-step explanation:

Width of the rectangle has been given as $(5-(1)/(4)x)$ .

Convert the statement into the algebraic expression,

"Length of the rectangle is twice the width"

Length = 2(Width)

= $2(5-(1)/(4)x)$

= $10-(1)/(2)x$

Since perimeter of a rectangle is given by the expression,

Perimeter = 2(Length + Width)

By substituting the values of length and width in the expression,

Perimeter = $2[(5-(1)/(4)x)+(10-(1)/(2)x)]$

= $2(15-(3)/(4)x)$

= $(30-(3)/(2)x)$

Therefore, expression representing perimeter is $(30-(3)/(2)x)$ .

Solve for x. x - 1
2 = 4

Answers

Answer:

x = 16

Step-by-step explanation:

x - 12 = 4

+ 12 = +12

x = 16

Answer:

Step-by-step explanation:

Karen earns $54.60 for working 6 hours. If the amount she earns varies directly with thenumber of hours she works, how many hours would she need to work to earn an
additional $260?

Answers

Given:

Karen earns $54.60 for working 6 hours.

Amount she earns varies directly with the number of hours she works.

She need to work to earn an additional $260.

To find:

Number of hours she need to work to earn an additional $260.

Solution:

Let the amount of earnings be A and number of hours be t.

According to question,

$A\propto t$

$A=kt$ ...(i)

where, k is constant of proportionality.

Karen earns $54.60 for working 6 hours.

$54.60=k(6)$

Divide both sides by 6.

$(54.60)/(6)=k$

$9.1=k$

Put k=9.1 in (i).

$A=9.1t$

Substitute A=260 in the above equation.

$260=9.1t$

Divide both sides by 9.1.

$(260)/(9.1)=t$

$28.5714=t$

$t\approx 29$

Therefore, she need to work extra about 29 hours to earn an additional $260.

An average person consumes 2,000 calories each day

Answers

The average adult needs approximately 2,000 calories per day. Yet, individual calorie recommendations depend on many factors, such as your size, gender, exercise level, weight goals, and overall health

What is the average rate of change for this function for the interval from x= 2
to x = 4?

Answers

Answer:

Step-by-step explanation:

hn hn

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