A delivery company is logging the number of miles each employee drives each day. The company found an average of about 85.6 miles. Assume that the standard deviation is 9.85 miles and that a random sample of 50 drivers was used to determine the average. Which statements are true about this situation?

The 99% confidence interval is from about 81.43 to 90.58 miles.
The 95% confidence interval is from about 82.87 to 88.33 miles.
The margin of error for 99% confidence is about 3.59 miles.
The sample isn’t large enough to use a normal distribution.
The margin of error for 95% confidence is about 2.52 miles.

x=12

This the answer hope this helps

If you need the steps please feel free to contact me in the comments

Answer:

if it helps try dividing those two numbers so like 25/7

Answer:

no

Step-by-step explanation:

two points cant be on the same line in a vertical pattern

Answer:

The slope is 2

Step-by-step explanation:

y1-y2 .      6--6

---------      ------       =2

x1-x2 .      2--4

The maximum number of students, x, who could ​attend the movie are,

⇒ x ≈ 21

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

A teacher can spend as much as $125.00 to take students to a movie.

And, ​A movie theater charges a $10.00 group fee and $5.50 per ticket.

Let maximum number of students, x, who could ​attend the movie = x

Hence, We can formulate;

5.50x + 10 ≤ 125

Solve for x;

5.50x ≤ 125 - 10

5.50x ≤ 115

x ≤ 115 / 5.50

x ≤ 20.90

x ≈ 21

Thus, The maximum number of students, x, who could ​attend the movie are,

⇒ x ≈ 21

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Answer:

100

Step-by-step explanation:

Since ten cups of ice cream is made from .5 cups of sugar, lets first find out how many cups of ice cream can be made form one cup of sugar

.5*2=1

10*2=20

Since the ratio of sugar to ice scream is .5/10 if you do anything to the top you need to do it to the bottom

so now you have 1/20

for every one cup of sugar there are 20 cups of icecream

now you need to multiply both top and bottom by five

1*5=5

20*5=100

5/100

You can make 100 cups of ice cream

*don't forget to label your answer with cups of ice cream*

100 cups of ice cream can be made with 5 cups of sugar.

Comparing quantities is the qualitative relation between two quantities which reflects the relative size of both the quantities.

It is given that,

10 cups of ice cream requires = 0.5 cup of sugar

⇒ 1 cup of sugar = 10/0.5 cups of ice cream

⇒ 1 cup of sugar = 20 cups of ice cream

Hence we see that Maya's ice cream machine makes 20 cups of ice cream from 1 cup of sugar.

Similarly, 5 cups of sugar = 5 x 20 cups of ice cream

⇒ 5 cups of sugar = 100 cups of ice cream

Therefore,100 cups of ice cream can be made with 5 cups of sugar.

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Answer:

the answer is choice 3

c is parallel to d by the converse of the same side interior angles theorem

Step-by-step explanation:

Answer:

3. c || d by the converse of the same-side interior angles theorem

Step-by-step explanation:

Angles 12 and 15 are same-side interior angles of lines c and d cut by transversal a.

Answer:

3. c || d by the converse of the same-side interior angles theorem

Answer:

[tex]10^{11}[/tex] is larger

Step-by-step explanation:

I hope this helps!

Answer:

x + y - 4 = 0

Hope this helps, if you need more of an explanation feel free to let me know!

Answer:

8

Step-by-step explanation:

The y is the same so you only have to calculate the difference between x.

The difference between -3 and 5 is 8.

Answer:

blank

Step-by-step explanation:

Answer:

Blank

Step-by-step explanation:

Answer:

72.73 pages in one hour

or 72.73/hr

Answer:

a and b are the "legs" of the triangle, which are the two sides that make up the 90 degree angle. c is the "hypotenuse" of the triangle, and is the side of the triangle that is opposite the right angle (another way to say a 90º angle is "right angle"). The hypotenuse is also the longest side of the right triangle.

Answer:

The probability that they will teach different courses is [tex]\frac{2}{3}[/tex].

Step-by-step explanation:

Sample space is a set of all possible outcomes of an experiment.

In this case we will write the sample space in the form (x, y).

Here x represents the course taught by the first part-time instructor and y represents the course taught by the second part-time instructor.

Denote every course by their first letter.

The sample space is as follows:

S = {(P, P), (P, I), (P, S), (I, P), (I, I), (I, S), (S, P), (S, I) and (S, S)}

The outcomes where the the instructors will teach different courses are:

s = {(P, I), (P, S), (I, P),(I, S), (S, P) and (S, I)}

The probability of an events E is the ratio of the number of favorable outcomes to the total number of outcomes.

[tex]P(E)=\frac{n(E)}{N}[/tex]

Compute the probability that they will teach different courses as follows:

[tex]P(\text{Different courses})=\frac{n(s)}{n(S)}=\frac{6}{9}=\frac{2}{3}[/tex]

Thus, the probability that they will teach different courses is [tex]\frac{2}{3}[/tex].

Answer:

1) Shirt = $28.20  Jeans = $42

2) subtotal = $105.20

3) with the discount from the coupon, the pre-tax cost is $83.90

4) about $ 88.10 (actual answer was $88.095)

5) i have no clue bro, im sorry

Step-by-step explanation:

The sale price of the shirt  is [tex]\$28.20[/tex] The sale price of the jeans  [tex]\$42.00[/tex] Subtotal is [tex]\$[/tex]105.20 Pre-tax cost  [tex]\$78.90[/tex] The total amount charged with 5% sales tax is  [tex]\$42.00[/tex]

The sale price of the shirt:

Given -The original price of the shirt is $47, and it is on a "40% Off" sale. To find the sale price, we can calculate [tex]40\% of \$47[/tex]and subtract it from the original price:

The sale price of the shirt = [tex]\$47 - (40\% \times\$47)[/tex]

The sale price of the shirt =[tex]\$47 - (\$18.80)[/tex]

The sale price of the shirt =[tex]\$28.20[/tex]

The sale price of the jeans:

Given =The original price of the jeans is $60, and it is advertised as "30% Off." Similar to the shirt, we can calculate the sale price of the jeans:

The sale price of the jeans =[tex]\$60 - (30\% \times\$60)[/tex]

The sale price of the jeans =[tex]\$60 - (\$18.00)[/tex]

The sale price of the jeans = [tex]\$42.00[/tex]

Subtotal of the shirt, jeans, and shoes:

Subtotal = Sale price of the shirt + Sale price of the jeans + Sale price of the shoes

Subtotal = [tex]\$[/tex]28.20 + [tex]\$[/tex]42.00 +[tex]\$[/tex]35.00

Subtotal =[tex]\$[/tex]105.20

The pre-tax cost of your purchase with the[tex]25\%[/tex] off coupon:

The 25% off coupon is applied to the subtotal. We calculate 25% of the subtotal and subtract it from the subtotal to find the pre-tax cost:

Pre-tax cost = Subtotal -[tex](25\% \times Subtotal)[/tex]

Pre-tax cost = [tex]\$105.20 - (25\% \times \$105.20)\\[/tex]

Pre-tax cost =[tex]\$105.20 - (\$26.30)[/tex]

Pre-tax cost = [tex]\$78.90[/tex]

The total amount charged with 5% sales tax:

To calculate the total amount charged, we need to add the sales tax to the pre-tax cost:

Sales tax = [tex]5\% \times Pre-tax cost[/tex]

The Total amount charged = Pre-tax cost + Sales tax

The Total amount charged =[tex]\$78.90 + (5\% \times \$78.90)[/tex]

The total amount charged = [tex]\$78.90 + \$3.94[/tex]

The total amount charged =[tex]\$82.84[/tex]

The credit card payments for months are;

Payment | Balance | New Balance | Interest | Remaining Balance

Month 1 |    $10.00 | $72.84 |   $1.46 |  $71.46

Month 2 |    $10.00 | $61.46 | $1.23 | $60.69

Month 3 |  $10.00 | $50.69 | $1.01 | $49.70

Month 4 |   $10.00 | $39.70 | $0.79 | $38.49

Month 5 |   $10.00 | $28.49 | $0.57 | $27.06

Month 6 |    $10.00 | $17.06 | $0.34 | $16.40

Month 7 |    $10.00 | $6.40 | $0.13 | $6.53

Month 8 |   $6.53 | $0.00 | $0.00 | $0.00

The remaining balance is paid off in full by the 8th month, and the interest is calculated based on the remaining balance each month.

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Answer:

3xy⋅(4x

2

+2x−3y)

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Answer:

brain went bye bye

Step-by-step explanation:

Answer:   point-slope form is [tex](y -y_{1} ) = m(x - x_{1} )[/tex]

9.5 -(-6) = 1/2(0-7)

Step-by-step explanation: You can get a y-intercept by substituting the x and y values from the given coordinate into the slope-intercept form and solve for b.

y = mx + b

-6 = 1/2(7) + b

-6 = 3.5 + b

-9.5 = b  Slope-intercept equation for this question would be  y = x/2 - 9.5

Then use the coordinates of the y-intercept to create the point-slope equation

(-9.5 -[-6]) = 1/2(0-7)

Answer:

The conference in Birmingham is at 10.30am.

She has to leave at 08.00 am from her home.

Step-by-step explanation:

Because  

• Time to get Euston Rail Station is 1 hour so she will be at station at 09.00 am.

• Trains to Birmingham run at the following times: 5 minutes past the hour, 25 minutes past the hour and 45 minutes past the hour. Which means she will get the train at 9.05 am.

• The train journey from Euston to Birmingham is an hour and 10 minutes so she will reach Birmingham station at 10.15 am.

• She will reach the meeting venue in Birmingham at 10.20 am as there is a 5-minute walk from the Birmingham station to meeting venue.

She will reach to meeting time 10 minutes earlier which will allow here to get ready for the meeting.

Note:

If we want to overcome the 10 minutes and she live 8.10 am from here home then she will reach to station at 9.10 am. According to the train timing she will get train at 09.25 am which means at the end she will get late about 10 minutes to reach the venue for the meeting.

Answer:

  C.  1/(x^2 +1) > 0

Step-by-step explanation:

The cube of a negative number is negative, eliminating choices B and D for certain negative values of x.

1/x^2 is undefined for x=0, so cannot be compared to zero.

The value 1/(x^2+1) is positive everywhere, so that is the expression you're looking for.

  1/(x^2 +1) > 0

Answer: C

Step-by-step explanation:

1/4th of -5 is -1.25 so in fractions that is -1 1/4 (ANSWER IS C)

the answer is C

Answer:

12

Step-by-step explanation:

Answer:

[tex]x + y + z = 50[/tex]

[tex]20x +50 y +30 z = 1500[/tex]

[tex]x = z[/tex]

Step-by-step explanation:

Given

[tex]Chicken = c[/tex]

[tex]Dog = y[/tex]

[tex]Duck = z[/tex]

Since, she wants to buy 50 in total; This can be modeled by:

[tex]x + y + z = 50[/tex]

Considering the budget, we have:

[tex]20x +50 y +30 z = 1500[/tex]

Lastly, we have that

[tex]x = z[/tex]

i.e. Chicken = ducks

There are 20 chickens, 10 dogs and 20 ducks.

Let x represent the number of chickens, y represent the number of dogs and z represent the number of ducks.

The total number of animals she needs to buy is 50. Hence:

x + y + z = 50     (1)

She has a budget of $1500 to spend, hence:

20x + 50y + 30z = 1500   (2)

The number of chickens should be equal to that of ducks. Hence:

x = z

x - z = 0     (3)

Hence, x = 20, y = 10 and z = 20

There are 20 chickens, 10 dogs and 20 ducks.

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Step-by-step explanation:

Hey there!

The points are;(4,-3) and (8,-2).

Use slope formula.

[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]

Put all values.

[tex]m = \frac{ - 2 + 3}{8 - 4} [/tex]

[tex]m = \frac{1}{4} [/tex]

Therefore, the slope is 1/2.

Hope it helps...

Answer:

=16xy−31xz−9yz

Step-by-step explanation:

The required simplified solution of the given expression is 16xy - 9yz -31xz.

Given that,
To determine the simplified solution of the given expression,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
= (-15xz-4xy)+(20xy-9yz-16xz)
Adding the coefficients of the alike terms.
= 16xy - 9yz -31xz.

Thus, the required simplified solution of the given expression is 16xy - 9yz -31xz.

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Answer:

There are two real solutions if the radicand is

✔ positive.

There is one real solution if the radicand is

✔ zero.

There are no real solutions if the radicand is

✔ negative.

Step-by-step explanation:

ON MY DOG KIDS DIS RIGHT

Answer:

1.Postieve

2.Zero

3.Negative.

Step-by-step explanation

i did it on ed and got it right.

====================================================

Explanation:

Utility is another way of saying happiness more or less. Marginal utility is getting that extra bit of satisfaction from buying/consuming one additional item. Saying the marginal utility is diminishing but not negative, means we have an increasing utility curve that has its rate of increase slow down. An example would be a log curve.

Inflation can be thought of as an expense. For example, if it costs $1 to get a loaf of bread one year, and then next year that cost jumps to $1.50 for that same loaf of bread, then the worker has effectively lost 50 cents on their paycheck. Zero inflation means there isn't any such expense. So in a way, this is like getting a raise.

Being paid more due to higher labor costs means that the worker gets even more money on top of the bonus money saved from zero inflation. These two aspects would provide a lot of incentive for the person to work more hours. Of course, there would be a point in which the marginal utility is far too small. In other words, the amount of additional money earned isn't worth the additional time spent working. This is likely when the worker would take time off, seek out a raise, or find some other job.