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3 years ago

Which of the following shows a number in fraction form? A. 3 B. 3.7 C. 3 ∕7 D. √2

Mathematics

2 answers:

kumpel [21]3 years ago

7 0

C because u have 3/7 which is a fraction

Makovka662 [10]3 years ago

7 0

Hi there! Well 3 doesn't show a fraction, 3 is a whole number. 3.7 doesn't show a fraction, that is a decimal. √2 isn't a fraction, it is a square root. So, we only have one answer choice left and that is 3/7. Therefore, the answer is C. 3/7

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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%.

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3 years ago

Rotate rectangle ABCD 90ºccw about the origin. What<br> are the image coordinates?

bazaltina [42]

Answer:

Step-by-step explanation:

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3 years ago

(GEOMETRY)Is triangle A'B'C' a dilation of triangle ABC?

belka [17]

c. the answer is C ;NO

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Three sister shared $3.60 equally. how much did each sister get?

Igoryamba

Each sister got $1.20

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