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3 years ago

Which of the following sets of measurements could be the sides of a right triangle?

Mathematics

1 answer:

Ad libitum [116K]3 years ago

7 0

Answer:

a. 5,12,13

Step-by-step explanation:

we know in right angle triangle

AC^2 = AB^2 + BC^2

here let

AC = 13

AB = 5

BC = 12

So,

13 ^2 = 5^2+ 12^2

169 = 25 + 144

169 = 169

so,

sides of right angle triangle are 5,12,13

and only the largest value in given data can be AC as AC is hypotenuse

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Choose the most convenient method to graph the line x=−3.

True [87]

Answer: Recognize the equation as that of a vertical line passing through the x-axis at −3

4 0

2 years ago

Ava,Carter,Like,and their dad each now a different section of their yard.Ava moes 1/12 of the yard, carter mows 2/12 of the yard

PIT_PIT [208]

Their dad mows 5/12 of the lawn

7 0

4 years ago

Read 2 more answers

1. Which of the following shows the value of (4.3 x 10-7)(1.5 x 10-3) in scientific notation? a. 6.45 x 10-10 b. 64.5 x 10-9 C.

elena55 [62]

The product of the expression in scientific notation is expressed as 6.45 * 10^-9

<h3>Scientific notations</h3>

The standard scientific notation is expressed as:

A * 10^n

A is any value between 1 and 10

n is any integer

Given the product

(4.3 x 10-7)(1.5 x 10-3)

= (4.3 * 1.5)(10^-7 * 10^-3)
= 64.5 * 10^-10
= 6.45 * 10^-9

Hence the product of the expression in scientific notation is expressed as 6.45 * 10^-9

Learn more on scientific notation here: brainly.com/question/5756316

#SPJ1

5 0

2 years ago

A researcher collected data from a sample of correctional officers and found that on average they made 47,173 dollars a year wit

ollegr [7]

Answer:

a) $z = \frac{40000- 47173}{6364} = -1.127$

b) $z = \frac{50000- 47173}{6364} = 0.444$

c) $P(X>40000)=P(\frac{X-\mu}{\sigma}>\frac{40000-\mu}{\sigma})=P(Z>\frac{40000-47173}{6364})=P(z>-1.127)$

And we can find this probability using the complement rule and the normal standard distribution or excel and we got:

$P(z>-1.127)=1-P(z$

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the amount of money of a population of interet, and we know the following info:

Where $\bar X=47173$ and $s=6364$

We can assume that the sample size is large and the estimators can be used as a good description for the parameters $\mu \sigma$

The z score for 40000 would be:

$z = \frac{40000- 47173}{6364} = -1.127$

Part b

The z score for 50000 would be:

$z = \frac{50000- 47173}{6364} = 0.444$

Part c

We are interested on this probability

$P(X>40000)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>40000)=P(\frac{X-\mu}{\sigma}>\frac{40000-\mu}{\sigma})=P(Z>\frac{40000-47173}{6364})=P(z>-1.127)$

And we can find this probability using the complement rule and the normal standard distribution or excel and we got:

$P(z>-1.127)=1-P(z$

8 0

3 years ago

This equation models the number of minutes, m, it takes dave and danica to wash the dishes. m m 18 20 about how many minutes wil

lyudmila [28]

The formula is
time = (Worker 1 * Worker 2) / (Worker 1 + Worker 2)
time = (18 * 20) / (18 + 20)
time = 360 / 38
time = <span> <span> <span> 9.4736842105 </span> </span> </span> minutes
So, the answer is "a. 9.5 minutes".

Source
http://www.1728.org/work.htm

7 0

3 years ago