Find the distance between the two given points. Round to the nearest tenth.

How many busses are needed to transport 495 people if each bus holds 45 people?

Katarina [22]

Answer: 11

Step-by-step explanation: You divide 495/45 and you get 11

8 0

2 years ago

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What is the equation of a line, in point- slope form, that passes through (5, -3) and has a slope of 2/3?

Alika [10]

<h3><u><em>Option B</em></u></h3><h3><u><em>The equation of a line, in point- slope form, that passes through (5, -3) and has a slope of 2/3</em></u></h3><h3><u><em /></u> $y + 3 = \frac{2}{3}(x -5)$ <u><em /></u></h3>

<em><u>Solution:</u></em>

<em><u>The equation of line in point slope form is given as:</u></em>

$y - y_1 = m(x-x_1)$

Where, "m" is the slope of line

Given that,

slope = 2/3

$m = \frac{2}{3}$

The line passes through (5, -3)

Substitute m = 2/3 and $(x_1, y_1)$ = (5, -3) in point slope form

$y - (-3) = \frac{2}{3}(x -5)\\\\y + 3 = \frac{2}{3}(x -5)$

Thus equation of line in point slope form is found

8 0

2 years ago

A study was made of seat belt use among children who were involved in car crashes that caused them to be hospitalized. It was fo

borishaifa [10]

Answer:

a) $P(5$

And we can find this probability with this difference:

$P(-1.90$

And using the norma standard distribution or excel we got:

$P(-1.90$

b) $P(X>6) =P(Z> \frac{6-7.37}{1.25}) = P(Z>-1.096)$

And using the complement rule we got:

$P(Z>-1.096) =1-P(Z$

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 variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(7.37,1.25)$

Where $\mu=7.37$ and $\sigma=1.25$

We are interested on this probability

$P(5$

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:

$P(5$

And we can find this probability with this difference:

$P(-1.90$

And using the norma standard distribution or excel we got:

$P(-1.90$

Part b

For this case we want this probability:

$P(X>6)$

And we can use the z score and we got:

$P(X>6) =P(Z> \frac{6-7.37}{1.25}) = P(Z>-1.096)$

And using the complement rule we got:

$P(Z>-1.096) =1-P(Z$

8 0

2 years ago

What is the square root of 1000/100000

Mrac [35]

Remember that $\sqrt{\frac{x}{y} }= \frac{ \sqrt{x} }{ \sqrt{y} }$ so
$\sqrt{\frac{1000}{100000} }= \frac{ \sqrt{1000} }{ \sqrt{100000} }$
find the individual square roots
$\frac{ \sqrt{1000} }{ \sqrt{100000} }$ = $\frac{ 10\sqrt{10} }{ 100\sqrt{10} } = \frac{10}{100} times \frac{ \sqrt{10} }{ \sqrt{10} } = \frac{10}{100} times 1= \frac{1}{10}$

answer is 1/10

7 0

2 years ago

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Which of the following coordinates would be on the line y = 2x (0, 2) (2, 0) (1, 2) (2, 2) Please explain it!

jolli1 [7]

Answ(0,2)

By putting x 0 and y 2

Step-by-step explanation:

4 0

2 years ago