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sweet [91]
3 years ago
9

a family spends 1/3 of its weekly budget on rent 1/4 on food 1/8 on clothes 1/12 on entertainment and the remainder is banked ho

w much is banked if the weekly income is €846.72
Mathematics
1 answer:
Serjik [45]3 years ago
8 0
1/3+1/8+1/12+1/4=19/24
19/24=791.66
846.72-791.66=55.06
You might be interested in
HELPPPP
drek231 [11]
Second option. 1.5% of 2,700 is 40.5. Multiply that by 5 and you get 202.5 add that to 2,700 and you get 2,902.5. Round that and you get 2,903. Hence, the second option is correct.
3 0
3 years ago
A consumer group has determined that the distribution of life spans for gas ovens has a mean of 15.0 years and a standard deviat
Mnenie [13.5K]

Answer:

B. Mean = 1.6 years, standard deviation = 0.92 years, shape: approximately Normal.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

35 gas ovens

A consumer group has determined that the distribution of life spans for gas ovens has a mean of 15.0 years and a standard deviation of 4.2 years. This means that:

\mu_G = 15, \sigma_G = 4.2, n = 35, s_G = \frac{4.2}{\sqrt{35}} = 0.71

40 electric ovens.

The distribution of life spans for electric ovens has a mean of 13.4 years and a standard deviation of 3.7 years.

\mu_E = 13.4, \sigma_E = 3.7, n = 40, s_E = \frac{3.7}{\sqrt{40}} = 0.585

Which of the following best describes the sampling distribution of barXG - bar XE, the difference in mean life span of gas and electric ovens?

By the Central Limit Theorem, the shape is approximately normal.

Mean: \mu = \mu_G - \mu_E = 15 - 13.4 = 1.6

Standard deviation:

s = \sqrt{s_G^2+s_E^2} = \sqrt{(0.71)^2+(0.585)^2} = 0.92

So the correct answer is given by option b.

3 0
2 years ago
When Emilio drives his truck, the miles are varied directly with the
Inga [223]

Answer:

40 months

Step-by-step explanation:

Since it takes him 2 months to drive 15,000 miles

He drives 7,500 miles/month (15,000 miles / 2months)

Dividing the total distance by his speed yields the time it takes to drive that distance

300,000 miles / 7,500 miles/month = 40 months

4 0
2 years ago
What is the value of 3x - 8y when x =4 and y = -1/2? *
olya-2409 [2.1K]

Answer:

16

Step-by-step explanation:

7 0
3 years ago
A​ person's part-time job pays ​$5.50 per hour. Write an expression to represent the amount he earns for working n hours.
solniwko [45]
5.50(n) would be an expression to represent the amount he earns.
4 0
3 years ago
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