Find the six rational numbers between -4 and 5/4

Answers

Answer 1
Answer:

Answer:

1,0,-1,-2,-3,-3/10

Step-by-step explanation:

5/4 = 1.25

Therefore 6 rational numbers between - 4 and 5/4:

1,0,-1,-2,-3,-3/10


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The average sales per customer at a home improvement store during the past year is $75 with a standard deviation of $12. The probability that the average sales per customer from a sample of 36 customers, taken at random from this population, exceeds $78 is:

Answers

The probability that the average sales per customer from a sample of 36 customers, taken at random from this population, exceeds $78 is 0.0668.

Calculation of the probability:

Since The average sales per customer at a home improvement store during the past year is $75 with a standard deviation of $12.

Here  we need to find out the z score

= 78-75/ 12/ 36

= 1.5

Here we considered normal distribution table, we obtain the area that corresponds to 0.25 to be 0.9332

So,  the average is less or equal to 78.

Now

Subtract from 1 to get the complement.

So,

P(x>78)=1-0.9332

=0.0668

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Answer:

0.0668

Step-by-step explanation:

Assuming the distribution is normally distributed with a mean of $75,

with a standard deviation of $12.

We can find the z-score of 78 using;

z=(x-\mu)/((\sigma)/(√(n) ) )

\implies z=(78-75)/((12)/(36) ) =1.5

Using our normal distribution table, we obtain the area that corresponds to 0.25 to be 0.9332

This is the area corresponding to the probability that, the average is less or equal to 78.

Subtract from 1 to get the complement.

P(x>78)=1-0.9332=0.0668

A bookstore owner wants to collect data to find out customers' opinions of the variety of book genres available at the store. Which group should she survey to get the best random sample?A.
twenty customers who asked to share their opinions of the books available at the bookstore
B.
thirty-five randomly selected customers who purchased books at the bookstore
C.
forty-five randomly selected people at the supermarket next door
D.
fifty randomly selected customers who visited the bookstore

Answers

Answer:

the answer would be D.

Step-by-step explanation:

I am not sure how to explain this but I hope this helped you

Find the total surface area of this cubiod

Answers

Answer:

148 cm^2.

Step-by-step explanation:

It has 2 surfaces of area 5*6, 2 of  5*4 and 2 of 4*6.

= 2*30 + 2*20 + 2*24

= 60 + 40 + 48

= 148 cm^2.

PLEASE HELP !!! ILL GIVE YOU 10 POINTS IF YOU GET THIS CORRECT FOR MY TEST!!!!

Answers

Answer:

Last one. I am 100% positive cause I'm good at this kind of math. If you need help on anything else, let me know

Step-by-step explanation:

How does the quotient compare to the dividend when the divisor is less than 1

Answers

Final answer:

When a dividend is divided by a divisor that is less than 1, the resulting quotient is greater than the original dividend. This is equivalent to multiplying the dividend by the reciprocal of the divisor.

Explanation:

In mathematics, when we divide any number (the dividend) by a number that is less than 1 (the divisor), the quotient will be greater than the dividend. This is because dividing by a number less than 1 is equivalent to multiplying by its reciprocate which is more than 1. For example, let's consider 10 divided by 0.5 (which is less than 1); the quotient is 20, which is greater than the dividend (10). Therefore, in relation to your question, the quotient is larger than the dividend when the divisor is less than 1.

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Answer:

Greater provided the divisor is positive.

It would be more accurate and clearer to say that when dividing a number which is greater than zero by a number between 0 and 1, then the quotient is greater than the dividend.

If the divisor is negative and the dividend is positive, then the quotient is negative (and so less than the dividend).

Which of the following functions has a range of all real numbers?

Answers

Answer:

c

Step-by-step explanation:

The dots cannot intersect

Final answer:

A function having a range of all real numbers is a function where any output value can be achieved. An example is y=sinx, which oscillates continuously between -1 and 1, thus covering all real numbers in its range.

Explanation:

The function which has a range of all real numbers is a function where any output (y-value) is possible, irrespective of the input. The range of a function is the complete set of possible output values (y-coordinates), which result from using the function formula. An example of a function with a range of all real numbers is y=sinx. Since y=sinx oscillates between -1 and 1, given a large number of repetitions (or a continuous plot from -infinity to +infinity), all real numbers in your range (-1 to 1) are represented.

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