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Alecsey [184]
3 years ago
14

Consider the linear function that is represented by the equation y = negative 10 x + 6 and the linear function that is represent

ed by the equation y minus 36 = 8 (x minus 4). Which statement is correct regarding their slopes and y-intercepts?
Mathematics
2 answers:
Vilka [71]3 years ago
8 0

Answer: The function that is represented by the equation y = negative 10 x + 6 has a steeper slope and a greater y-intercept.

Step-by-step explanation: I took the unit test on edge hoped this helped <3

V125BC [204]3 years ago
3 0

Answer:

bbbbbbbb

Step-by-step explanation:

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The cost to produce a batch of granola bars is approximately Normally distributed with a mean of $7.19 and a standard deviation
Bumek [7]

Answer:

0.7780

Step-by-step explanation:

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

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.

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.

Population:

We have that \mu = 7.19, \sigma = 0.86

Sample of 12:

n = 12, s = \frac{0.86}{\sqrt{12}} = 0.2483

What is the probability that the mean cost will be more than $7.00?

This is 1 subtracted by the pvalue of Z when X = 7. So

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{7 - 7.19}{0.2483}

Z = -0.765

Z = -0.765 has a pvalue of 0.222

1 - 0.222 = 0.778

So the answer is 0.7780

6 0
2 years ago
In a survey, 24 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped
erica [24]

Answer:

The 98% confidence interval for the mean amount spent on their child's last birthday gift is between $40.98 and $43.02.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 24 - 1 = 23

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 23 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.98}{2} = 0.99. So we have T = 2.5

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.5\frac{2}{\sqrt{24}} = 1.02

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 42 - 1.02 = $40.98.

The upper end of the interval is the sample mean added to M. So it is 42 + 1.02 = $43.02.

The 98% confidence interval for the mean amount spent on their child's last birthday gift is between $40.98 and $43.02.

7 0
2 years ago
HELPPPP PLEASE: calculate the equation for line passes (-9,36) (21,56)
STALIN [3.7K]
If you subtract -9-21 and 36-56
8 0
3 years ago
The ratio of the angle measures in a triangle is 3 : 5 : 7. What are the measures of the angles of the triangle?
NeTakaya

Answer:

36, 60, 84

Step-by-step explanation:

3+5+7=15

180/15=12

12*3=36

12*5=60

12*7=84

8 0
2 years ago
Which section of the function is decreasing?
Allisa [31]

Answer:

A

Step-by-step explanation:

A section is decreasing

8 0
3 years ago
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