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3 years ago

What is 54 in the ratio 1:6:2

Mathematics

1 answer:

solmaris [256]3 years ago

8 0

Answer:

6:36:12

Step-by-step explanation:

1+6+2=9

54÷9=6

1×6=6

6×6=36

2×6=12

and to double-check you can add them up and you should get the total amount

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Andrew has a salary of £250. He shares his salary with his sister in the ratio 2:3 every week. He saves 12% each week. How many

exis [7]

A = Andrew
S = Sister

A : S
2 : 3
2 + 3 = 5
250 ÷ 5 = 50
2 × 50 = 100
3 × 50 = 150

∴ A : S
100 : 150
So Andrew keeps £100 of his salary every week.

Of this, he saves 12%:
100 × (12 ÷ 100) = 12
So he saves £12 every week

360 ÷ 12 = 30
∴ it will take him 30 weeks to save £360.

6 0

3 years ago

Read the questions below (best gets 30 points)

myrzilka [38]

Answer:

2 is 67

3 is 45

4 is 71

6 is x(all angles)

7 is 28

8 is 33

3 0

4 years ago

A rectangle with opposite sides that are not congruent

amid [387]

Is not a rectangle. A rectangle is a rectangle BECAUSE it's opposite sides are congruent.

8 0

4 years ago

Read 2 more answers

The diameters of a batch of ball bearings are known to follow a normal distribution with a mean 4.0 in and a standard deviation

8_murik_8 [283]

Answer:

a) 88.54% probability of a diameter between 3.8 in and 4.3 in

b) 25.14% probability of a diameter smaller than 3.9in

c) 90.82% probability of a diameter larger than 4.2 in

Step-by-step explanation:

Problems of normally distributed samples 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.

In this problem, we have that:

$\mu = 4, \sigma = 0.15$

(a) a diameter between 3.8 in and 4.3 in,

This is the pvalue of Z when X = 4.3 subtracted by the pvalue of Z when X = 3.8.

X = 4.3

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

$Z = \frac{4.3 - 4}{0.15}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772

X = 3.8

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

$Z = \frac{3.8 - 4}{0.15}$

$Z = -1.33$

$Z = -1.33$ has a pvalue of 0.0918

0.9772 - 0.0918 = 0.8854

88.54% probability of a diameter between 3.8 in and 4.3 in

(b) a diameter smaller than 3 9 in,

This is the pvalue of Z when X = 3.9. So

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

$Z = \frac{3.9 - 4}{0.15}$

$Z = -0.67$

$Z = -0.67$ has a pvalue of 0.2514

25.14% probability of a diameter smaller than 3.9in

(c) a diameter larger than 4.2 in

This is 1 subtracted by the pvalue of Z when X = 4.2. So

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

$Z = \frac{4.2 - 4}{0.15}$

$Z = 1.33$

$Z = 1.33$ has a pvalue of 0.9082

90.82% probability of a diameter larger than 4.2 in

6 0

3 years ago

Adwoa receive a commission of 20% on bread she sold.in one week,adwoa's commission was 540 ghana cedis how much bread did she se

Simora [160]

Adwoa sold x amount of bread during that week, where a is mathematically given as

x = 2700

This is further explained below.

<h3>What is a commission?</h3>

Generally, a payment made to a representative or employee in exchange for the completion of a transaction or the provision of a service, in particular: a predetermined share of the profits made from the whole sum, which is then distributed to the agent in charge of the company.

i) 20% × x = 540

Therefore

x = 540 × 100/20

x = 2700

In conclusion, During that particular week, Adwoa had a total sales volume of x, where x is denoted by the mathematical expression 2700.