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2 years ago

Plot the x- and y-intercepts to graph the equation. y = 1/3x − 1

Mathematics

2 answers:

Trava [24]2 years ago

8 0

If you have questions, feel free to ask

otez555 [7]2 years ago

7 0

Answer: The x-intercept and y-intercept are 3 and -1 respectively.

Step-by-step explanation: We are given a linear equation and we are plot the graph using x-intercept and y-intercept.

The given linear equation is

$y=\dfrac{1}{3}x-1.$

Here, y-intercept is - 1. So, a point on the graph will be (0,-1).

We can also write the given equation in the following form

$\dfrac{1}{3}x=y+1\\\\\Rightarrow x=3y+3.$

Therefore, x-intercept is 3 and the other point will be B(3,0).

Plotting these two on a graph paper and joining, we will get the graph of the given linear equation. Please see the attached figure.

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The amount of time all students in a very large undergraduate statistics course take to complete an examination is distributed c

Anestetic [448]

Answer:

a) The mean is $\mu = 60$

b) The standard deviation is $\sigma = 9$

Step-by-step explanation:

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.

The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.

This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when $X = 55.5, Z = -0.5$

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

$-0.5 = \frac{55.5 - \mu}{\sigma}$

$-0.5\sigma = 55.5 - \mu$

$\mu = 55.5 + 0.5\sigma$

The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.

This means that when X = 71.52, Z has a pvalue of 0.8997. This means that when $X = 71.52, Z = 1.28$

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

$1.28 = \frac{71.52 - \mu}{\sigma}$

$1.28\sigma = 71.52 - \mu$

$\mu = 71.52 - 1.28\sigma$

Since we also have that $\mu = 55.5 + 0.5\sigma$

$55.5 + 0.5\sigma = 71.52 - 1.28\sigma$

$1.78\sigma = 71.52 - 55.5$

$\sigma = \frac{(71.52 - 55.5)}{1.78}$

$\sigma = 9$

$\mu = 55.5 + 0.5\sigma = 55.5 + 0.5*9 = 55.5 + 4.5 = 60$

Question

The mean is $\mu = 60$

The standard deviation is $\sigma = 9$

6 0

2 years ago

Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably norma

Nataliya [291]

Answer:

The degrees of freedom is 11.

The proportion in a t-distribution less than -1.4 is 0.095.

Step-by-step explanation:

The complete question is:

Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the proportion in a t-distribution less than -1.4 if the samples have sizes 1 = 12 and n 2 = 12 . Enter the exact answer for the degrees of freedom and round your answer for the area to three decimal places. degrees of freedom = Enter your answer; degrees of freedom proportion = Enter your answer; proportion

Solution:

The information provided is:

$n_{1}=n_{2}=12\\t-stat=-1.4$

Compute the degrees of freedom as follows:

$\text{df}=\text{Min}.(n_{1}-1,\ n_{2}-1)$

$=\text{Min}.(12-1,\ 12-1)\\\\=\text{Min}.(11,\ 11)\\\\=11$

Thus, the degrees of freedom is 11.

Compute the proportion in a t-distribution less than -1.4 as follows:

$P(t_{df}$

$=P(t_{11}>1.4)\\\\=0.095$

*Use a <em>t</em>-table.

Thus, the proportion in a t-distribution less than -1.4 is 0.095.

8 0

3 years ago

Will give brainliest

tester [92]

Answer:

its all sides are equal and diagonal make 90° angle.

so, the answer option c.

4 0

3 years ago

if a plate of car consists of two letters and four digits and one car is chosen at random, then find the probability that the ca

Luba_88 [7]

Answer:

if u take 1 degree to 78 its answer is 79

Step-by-step explanation:

got it?

7 0

2 years ago

a normal distribution has a mean of 10 and a standard deviation of 1 what is the probability of selecting a number between 8 and

rusak2 [61]

Answer:

0.815

Step-by-step explanation:

First, find the z-scores.

z = (x − μ) / σ

z₁ = (8 − 10) / 1

z₁ = -2

z₂ = (11 − 10) / 1

z₂ = 1

P(-2 < Z < 1) = P(Z < 1) − P(Z < -2)

Use a chart, calculator, or the empirical rule to find the probability.

Using the empirical rule:

P(-2 < Z < 1) = 0.84 − 0.025

P(-2 < Z < 1) = 0.815

Using a chart:

P(-2 < Z < 1) = 0.8413 − 0.0228

P(-2 < Z < 1) = 0.8185

5 0

3 years ago