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3 years ago

12 is what percent of 96

1 answer:

8 0

12 * 100 = 1200/96 = 12.5
Answer = 12.5%
You mulitply 12 by a hunndred, since a percent means "out of a hundred." Then, you divide that, by 96, since, you want to find the percent out of 96.

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Colin pays £766.45 a year on his car insurance.

Firlakuza [10]

Answer:

£807.8383

Step-by-step explanation:

100 plus 5.4= 1.054%

1.054 x £766.45=£807.8383

7 0

3 years ago

1. A certain ceiling is made up of tiles. Every square meter of ceiling requires 10.75 tiles. Fill in the table with the missing

dybincka [34]

Given:

Consider the below table attached with this question.

Every square meter of ceiling requires 10.75 tiles.

To find:

The missing values in the table.

Solution:

We have,

1 square meter of ceiling = 10.75 tiles. ...(i)

Therefore, the number of tiles corresponding to 1 square meter of ceiling is 10.75.

Multiply both sides by 10.

10×1 square meter of ceiling = 10×10.75 tiles.

10 square meter of ceiling = 107.5 tiles.

Therefore, the number of tiles corresponding to 10 square meter of ceiling is 107.5.

Divide both sides by 10.75 in (i).

$\dfrac{1}{10.75}$ square meter of ceiling = 1 tile.

Multiply both sides by 100.

$\dfrac{100}{10.75}$ square meter of ceiling = 100 tiles.

On approximating the value, we get

9.3 square meter of ceiling = 100 tiles.

Therefore, the square meters of ceiling corresponding to 100 tiles is about 9.3.

Multiply both sides by a in (i).

a×1 square meter of ceiling = a×10.75 tiles.

a square meter of ceiling = 10.75a tiles.

Therefore, the number of tiles corresponding to a square meter of ceiling is 10.75a.

8 0

3 years ago

Read 2 more answers

The volume of a cube can be calculated using the formula V = s^3, where s is the side length. What is the volume of a cube with

kumpel [21]

Answer:

Volume of a cube with side length 1/3 of a meter = 1/27m^3

Step-by-step explanation:

Let

1 meter = m

V = s^3

Where,

V= volume of a cube

s= side length

s = 1/3 of a meter

= 1/3 × m

= 1/3m

V = s^3

= 1/3^3

= 1/3m * 1/3m * 1/3m

V = 1/27m^3

Volume of a cube with side length 1/3 of a meter = 1/27m^3

3 0

3 years ago

Suppose that 11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to

attashe74 [19]

Answer:

0.9726 = 97.26% approximate probability that X is at most 30

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .