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2 years ago

6

On the school playground , the slide is 12 feet due west of the tire swing and 16 feet due south of the monkey bars. What is the

distance between the tire swing and the monkey bars?

2 answers:

weqwewe [10]2 years ago

6 0

The answer is 13 meters

Firdavs [7]2 years ago

6 0

Answer:

20 feet

Step-by-step explanation:

i got it wrong answering 13 meters and it told me the answer

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College students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. If the amount of sleep is normall

Soloha48 [4]

Answer:

4.27%

Step-by-step explanation:

We have been given that college students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. We are asked to find the probability of college students that sleep for more than 9.6 hours.

We will use z-score formula to solve our given problem.

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

z = z-score,

x = Random sample score,

$\mu$ = Mean,

$\sigma$ = Standard deviation.

Before substituting our given values in z-score formula, we need to convert 35 minutes to hours.

$35\text{ min}=0.58\text{ Hour}$

$z=\frac{9.6-8.6}{0.58}$

$z=\frac{1}{0.58}$

$z=1.72$

Now, we need to find $P(z>1.72)$ .

Using formula $P(z>a)=1-P(z$ , we will get:

$P(z>1.72)=1-P(z$

Using normal distribution table, we will get:

$P(z>1.72)=1-0.95728$

$P(z>1.72)=0.04272$

$0.04272\times 100\%=4.272\%$

Therefore, 4.27% of college students sleep for more than 9.6 hours.

7 0

3 years ago

Which lists the fractions 9/5, 13/8, and 1 and 3/5 in order from least to greatest?

aleksklad [387]

3/5, 1, 13/8, 9/5 this is the answer to your question

5 0

3 years ago

19 degrees more than three times the measurement of v

Vladimir [108]

(3v+19)°
the answer to the question

3 0

3 years ago

13. Find the values of x and y in the diagram below.

Umnica [9.8K]

Answer:

x = 2

y = 4

Step-by-step explanation:

Let's start with the 7 in the middle. Subtract the 1 on its upper left to get 6.

Add the 3 on its lower left to get 10.

so, 3 - x = 1. x = 2

17 - y = 13. y = 4

8 0

2 years ago

The diagram represents 6x2 – 7x 2 with a factor of 2x – 1. A 2-column table with 2 rows. First column is labeled 2 x with entrie

a_sh-v [17]

Factors of a polynomial can divide it without leaving remainder. The other factor of $6x^2 - 7x + 2$ is given by Option D : $3x + 2$

<h3>How to factorize a polynomial?</h3>

Let the polynomial A(x) has one factor f(x).

Then, it means, we have:

$\dfrac{A(x)}{f(x)} = g(x)$

Thus, A(x) can be written as $A(x) = f(x) \times g(x)$

Thus, the other factor of that polynomial is

$g(x) = \dfrac{A(x)}{f(x)}$

For given case, the polynomial $A(x)$ is

$A(x) = 6x^2 - 7x + 2$

Its one factor f(x) is given $f(x) = 2x - 1$

Thus, its second factor is obtained as:

$g(x) = \dfrac{A(x)}{f(x)} = \dfrac{6x^2 - 7x + 2}{(2x - 1)} = \dfrac{6x^2 -4x -3x - 2}{2x - 1}\\\\g(x) = \dfrac{2x(3x + 2) - 1(3x + 2)}{2x - 1} = \dfrac{(2x - 1)(3x + 2)}{2x - 1}\\\\g(x) = (3x + 2)$

Thus, the second factor of the given polynomial is

Option D : $3x + 2$

Learn more about factors of polynomials here:

brainly.com/question/16078564

4 0

2 years ago