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3 years ago

Can anyone help me I'm confused?

Mathematics

2 answers:

Serhud [2]3 years ago

7 0

Answer: 10 inches

Step-by-step explanation:

If the two triangles are similar, that means their sides are proportional to each other.

JK = 15
JL = 15 + 6 = 21
JM = 14

The proportion would look like this:

$\frac{JK}{JL} =\frac{JN}{JM}\\$

Substitute in the values:

$\frac{15}{21} =\frac{JN}{14}$

Cross-multiply and solve for JN:

$21*JN=15*14\\JN=\frac{15*14}{21} =\frac{210}{21} =10$

Elina [12.6K]3 years ago

7 0

Answer:

10 inches

Step-by-step explanation:

JM=14<JL=21

And you know that JN=X<JK=15

You also know that JM=14>JN=x

KL=6 so NM=4

JM= (14) - NM (4)= 10

Hope this makes sense, and can help!

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What is 2 and 5/14 divided by (2 and 5/8 times 1 and 3/7)?

Lina20 [59]

(2 5/14) / (2 5/8 * 1 3/7)....turn them all into improper fractions
(33/14) / (21/8 * 10/7)
(33/14) / (105/28)...when dividing fractions, flip what u r dividing by, then multiply
33/14 * 28/105 = 132/210 reduces to 22/35 <==

3 0

3 years ago

when the temperature is 68 F, the speed of sound in air is approximately 343 meters per second. Approximately how many kilometer

Digiron [165]

Hello!

Since we are given that the speed of sound in the air travels about 343 meters per second, we can multiply 343 meters per second by 5, and then we convert the meters to kilometers.

343 · 5 = 1715 meters per 5 seconds.

1000 meters are equal to 1 kilometer. So, we can divide 1715 by 1000 to convert meters to kilometers.

1715 / 1000 = 1.715

Therefore, the speed of sound in air is about 1.715 kilometers per 5 seconds.

6 0

3 years ago

Read 2 more answers

Reposting since it wasn’t answered. Increased points to 25.

insens350 [35]

Answer:

a,b,d,e

answered in the first question

4 0

3 years ago

In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour

Lesechka [4]

Answer:

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

Step-by-step explanation:

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".

$\bar X=54$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=21$ represent the sample standard deviation

n=16 represent the sample size

Solution to the problem

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

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

Since the Confidence is 0.90 or 90%, the value of $\alpha=1-0.9=0.1$ 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: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$