The circumference of a circle is 6.28. What is the area of the circle?

A ferry will safely accommodate 82 tons of passenger cars. Assume that the meanweight of a passenger car is 2 tons with standard

Shalnov [3]

Answer:

The probability that the maximum safe-weight will be exceeded is <u>0.0455 or 4.55%</u>.

Step-by-step explanation:

Given:

Maximum safe-weight of 37 cars = 82 tons

∴ Maximum safe-weight of 1 car (x) = 82 ÷ 37 = 2.22 tons (Unitary method)

Mean weight of 1 car (μ) = 2 tons

Standard deviation of 37 cars = 0.8 tons

So, standard deviation of 1 car is given as:

$\sigma=\frac{0.8}{\sqrt{37}}=0.13$

Probability that maximum safe-weight is exceeded, P(x > 2.22) = ?

The sample is normally distributed (Assume)

Now, let us determine the z-score of the mean weight.

The z-score is given as:

$z=\frac{x-\mu}{\sigma}\\\\z=\frac{2.22-2}{0.13}\\\\z=\frac{0.22}{0.13}=1.69$

Now, finding P(x > 2.22) is same as finding P(z > 1.69).

From the z-score table of normal distribution curve, the value of area under the curve for z < 1.69 is 0.9545.

But we need the area under the curve for z > 1.69.

So, we subtract from the total area. Total area is 1 or 100%.

So, $P(z > 1.69) = 1 - P(z < 1.69)$

$P(z>1.69)=1-0.9545=0.0455\ or\ 4.55\%$

Therefore, the probability that the maximum safe-weight will be exceeded is 0.0455 or 4.55%.

8 0

3 years ago

Nter the equation of the line in slope-intercept form.<br><br> Slope is 6, and (1, 3)

kupik [55]

Answer:

The equation in the slope-intercept form will be:

$y=6x-3$

Step-by-step explanation:

Given

slope = m = 6

point = (1, 3)

As we know that the equation of a line in point-slope form is

$y-y_1=m\left(x-x_1\right)$

substituting the values m = 6 and point = (1, 3)

$y-3=6\left(x-1\right)$

Writing the equation in slope-intercept form

$y=mx+b$

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

$y-3=6\left(x-1\right)$

add 3 to both sides

$y-3+3=6\left(x-1\right)+3$

$y=6x-3$

Therefore, the equation in the slope-intercept form will be:

$y=6x-3$

6 0

3 years ago

HELP ASAP WILL GIVE BRAINLEST

blondinia [14]

Answer: d-9

Step-by-step explanation: d equals the savings so it says she spent four dollars and then five, so just add those and subtract it from the savings

5 0

3 years ago

Read 2 more answers

Qᴜɪᴢ-<br><br> What is <img src="https://tex.z-dn.net/?f=y%20~%2B~3y%20%3D%200%20~%2B~24" id="TexFormula1" title="y ~+~3y = 0 ~+~

zhuklara [117]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

What is $\tt\:y+3y=0+24$ ? Explain it.

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

$\tt \: y + 3 y = 0 + 24$

Combine y and 3y to get 4y.

$\tt \: 4y=0+24$

Add 0 and 24 to get 24.

$\tt \: 4y=24$

Divide both sides by 4.

$\tt \: y=\frac{24}{4} \\$

Divide 24 by 4 to get 6.

$\boxed { \boxed {\bf \: y=6 }}$

8 0

3 years ago

Write an algebraic equation based on the description. Two angles form a linear pair. The measure of one angle is 24° more than t

IgorC [24]

<h2><u>Answer:-</u></h2>

Given:

Two angles form a linear pair.

It means sum of their measures = 180°.

And,

Measure of one angle is 24° greater than the other.

Let the other angle be x.

→ First angle = (x + 24)

According to the question,

→ 2x = 180 - 24

→ 2x = 156

→ x = 156/2

<u>There</u><u>fore</u><u>,</u>

1st angle = 78°
2nd angle = 78° + 24° = 102°

4 0

3 years ago