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2 years ago

James, Kendra, Nick, and Natasha spent $56.00 to buy a present for their Aunt Jane.

Mathematics

1 answer:

Olenka [21]2 years ago

3 0

Answer:

Each person contributed $14.00

Step-by-step explanation:

$56.00 total

James, Kendra, Nick, Natasha = 4 people

56 ÷ 4 = $14

To check:

$14 × 4 people = $56 total

You might be interested in

Between which 2 consecutive numbers is radical 46

Nuetrik [128]

$\bf \sqrt{46}\approx 6.78239983
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5 0

2 years ago

ILL GIVE BRAINLIST ON WHOEVER GETS RIGHT!!!!!!!

Korvikt [17]

Answer:

hey,its option a

Step-by-step explanation:

because angle F= angle M and angle G= angle L

and angle H= angle N

To know third angle in ∆HGF

,we know sum of all angles in a triangle is 180°

______________________________

let angle H be unknown value x

x+51+36=180

x=180-87 ---------------- 1

similarly in ∆MNL

let angle be y

51+36+y=180

y=180-87----------------2

_______________________________

From 1&2 we observe qngle x= angle y

by AAA SIMILARITY THEY ARE SIMILAR

3 0

3 years ago

Curtis threw 15 darts at a dartboard. 40% of his darts hit the bull's-eye. How many darts did not hit the bull's-eye?

uranmaximum [27]

Number of darts that hit the bull's eye = 15 x 40/100 = 6
Number of darts that did not hit the bull's eye = 15 - 6 = 9

3 0

3 years ago

Read 2 more answers

The speeds of vehicles traveling on a highway are normally distributed with an unkown population mean and standard deviation. A

Maksim231197 [3]

Answer:

The 90% confidence interval would be given by (60.09;69.91)

We are 90% confident that the true mean for the speeds of vehicles traveling on a highway is between 60.09 and 69.91 miles per hour.

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X =65$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=9 represent the sample standard deviation

n=11 represent the sample size

2) Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=11-1=10$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,10)".And we see that $t_{\alpha/2}=1.81$

Now we have everything in order to replace into formula (1):

$65-1.81\frac{9}{\sqrt{11}}=60.09$

$65+1.81\frac{9}{\sqrt{11}}=69.91$

So on this case the 90% confidence interval would be given by (60.09;69.91)

We are 90% confident that the true mean for the speeds of vehicles traveling on a highway is between 60.09 and 69.91 miles per hour.

3 0

2 years ago

"In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides."

Harlamova29_29 [7]

Answer:

Step-by-step explanation:

It is provable about 180 ways, some of them quite elegant. There was a book published in the 1940s listing what they then knew. Others have been added since and it shows up in the oddest places which you can search out.

That is interesting but it does not answer your question.

A: Nothing is defined. This statement is a truth, but unproved. A is not the answer.

B: No term requires defining unless you don't know what a hypotenuse is, but that is a separate problem.

D: a postulate is a statement that is true that cannot be proven nor does it need to be. There aren't that many around in math. Euclid said "All right angles are congruent." True and not needing proof.

C: It is a theorem. This is a statement that may not be obvious and does require proof.

6 0

3 years ago