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2 years ago

What is the slope of a line that is parallel to the line represented by the equation x – y = 8?

1 answer:

7 0

Hi there!

Since the slope of a lime that is parallel is always the same, the answer is a. -1.

Since the slope of this equation is -1, the slope of any other parallel line is the same (or else the lines would intersect and not new parallel anymore).

Hope this helps!

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What is the solution to the inequality a - 1 > 11

Vanyuwa [196]

It would be a > 12, move all terms to one side and then solve for x. make sure if you divide then you flip the term

8 0

2 years ago

A train travels between two stations A anf B at a distance of 108 km in 45 minutes

frosja888 [35]

It travels 45 minutes to stations A and B duhh

8 0

2 years ago

A bonus of £2100 is shared by 10 people who work for a company. 40 percent of the bonus is shared equally between 3 managers. Th

Alja [10]

Answer:

Salesman is not correct

Step-by-step explanation:

First we calculate the share of salesman when 60 percent of bonus is shared among 7 salesmen:

Bonus Share For 7 Salesmen = (0.6)(£ 2100)

Bonus Share For 7 Salesmen = £ 1260

Now, this is equally divided among 7 salesmen:

Bonus Share of 1 Salesmen (when 60% is shared) = S₁ = £ 1260/7

S₁ = £ 180

Now, we calculate the share each salesmen get if bonus is equally divided among 10 people:

Bonus Share of 1 Salesmen (when equally shared) = S₂ = £ 2100/10

S₂ = £ 210

S₂/S₁ = £ 210/£ 180

S₂/S₁ = 1.16

S₂ = 1.16S₁

S₂ = 116% of S₁

This means that if bonus is equally divided between all 10 people then the salesman will get 16 percent more money.

<u>Therefore, salesman is not correct</u>

6 0

2 years ago

The age at which small breed dogs are fully housebroken follows a Normal distribution with mean ms = 6 months and standard devia

atroni [7]

Answer:

This measure is just 0.17 standard deviations from the mean, so we should not be surprised.

Step-by-step explanation:

Normal probability distribution

When the distribution is normal, we use 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.

If the z-score is lower than -2, or higher than 2.5, the score of X is considered unusual.

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.

Let xS – xL represent the sampling distribution.

Mean s 6, means L 4. So

$\mu = 6 - 4 = 2$

Standard deviation s is 2.5, for L is 1.5. So

$\sigma = \sqrt{2.5^2+1.5^2} = 2.915$

Should we be surprised if the sample mean housebroken age for the small breed dogs is at least 2.5 months more than the sample mean housebroken age for the large breed dogs? Explain your answer.

We have to find the z-score for X = 2.5. So

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

$Z = \frac{2.5 - 2}{2.915}$