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2 years ago

Kiley gathered the data in the table. She found the approximate line of best fit to be y = 1.6x – 4.

Mathematics

2 answers:

Alisiya [41]2 years ago

8 0

Answer:

the correct answer is D)1.8

Step-by-step explanation:

When you plug the value 3 into the formula you get the experimental value of 0.8 then you subtract -1 so the negative one turns into a positive one. then you add because both signs change. hope this helps

mihalych1998 [28]2 years ago

7 0

The difference between the observed value of the dependent variable (y) and the predicted value (ŷ) is called the residual (e). When x is equal to 3, the value of y from the best fit line would be 0.8. Therefore, the residual would be -1 - 0.8 = -1.8. Option A is the correct answer.

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Suppose the average price for new cars in 2012 has a mean of $30,100 and a standard deviation of $5,600. Based on this informati

KatRina [158]

Answer:

($13,300,$46,900)

Step-by-step explanation:

We are given the following in he question:

Mean, μ = $30,100

Standard Deviation, σ = $5,600

Chebyshev's Theorem:

According to theorem atleast $1 - \dfrac{1}{k^2}$ percent of data lies within 2 standard deviations of mean.
For k = 3,

$1 -\dfrac{1}{(3)^2} = 0.889 \approx 89\%$

Thus, 89% of data lies within three standard deviation of mean.

$\mu - 3(\sigma) = 30100 - 3(5600) = 13300\\\mu + 3(\sigma) = 30100 + 3(5600) = 46900$

Thus, we expect at least 89% of new car prices to fall within ($13,300,$46,900)

3 0

2 years ago

If the x- and y-values in each pair of a set of ordered pairs are interchanged, the resulting set of ordered pairs is known as t

dem82 [27]

Answer:

Inverse of a function

Step-by-step explanation:

If the x- and y-values in each pair of a set of ordered pairs are interchanged, the resulting set of ordered pairs is known as the inverse of a function.

For example, given the following function:

y = 2x

If x=0 → y= 0

If x=1 → y= 2

If x=2 → y= 4

Now, if we find the inverse of the function:

y = 2x → x = 2y → y = x/2

Now:

If x=0 → y= 0

If x=2 → y= 1

If x=4 → y= 2

Comparing both cases, you will notice that the ordered pairs are effectively interchanged.

3 0

2 years ago

What is the tangent ratio for angle b?

Elis [28]

Hi there!

Tangent is a trigonometry ratio, and it is the value of the side opposite the angle over the side adjacent to the angle.

The side that is opposite angle B is side CA which is equal to 2.
The side that is adjacent to angle B is side CB which is equal to 1.

Therefore, the tangent ratio for angle B is 2/1.
(The adjacent side cannot be side BA because it is the hypotenuse.)

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

5 0

2 years ago

Read 2 more answers

good job on increasing our team sales from 90 to 130 units per day.” wow i never thought that we could increase our sales by

artcher [175]

The sales was increased by 44.4%.

Step-by-step explanation:

Lets do this cumulative
90 of 10 % = 9 which is 99
90 of 10 % = 9 which is 108
90 of 10% = 9 which is 117
90 of 10% = 9 which is 126
90 of 4 % = 3.6 which is 129.6
90 of 0.044% = 0.0396 which is 129.99
This comes to nearly 44.44 to be closer there was an increase.
Always rule 1 approximation use 50% of 90 if it is above 130.
Down it to 40% of 90 see if the sales is lower than 130.
It should always start with 50,40,30....10 percents.
Alternative should be 10,1 or decimals.
Approximation using decimals rounding up becomes simple.

7 0

2 years ago

A recent study found that 51 children who watched a commercial for Walker Crisps (potato chips) featuring a long-standing sports

hichkok12 [17]

Answer:

The claim is that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

The kind of test to use is a t -test because a t -test is used to check if there is a difference between means of a population

$t = 3.054$

The p-value is $p-value = P(Z > 3.054) = 0.0011291$

The conclusion is

There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

The test statistics is

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 51$

The first sample mean is $\mu_1 = 36$

The second sample size is $n_2 = 41$

The second sample size is $\mu_2 = 25$

The first standard deviation is $\sigma _1 = 21.4 \ g$

The second standard deviation is $\sigma _2 = 12.8 \ g$

The level of significance is $\alpha = 0.05$

The null hypothesis is $H_o : \mu_1 = \mu_ 2$

The alternative hypothesis is $H_a : \mu_1 > \mu_2$

Generally the test statistics is mathematically represented as

$t = \frac{\= x_1 - \= x_2}{ \sqrt{ \frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} } }$

=> $t = \frac{ 36 - 25}{ \sqrt{ \frac{ 21.4^2}{51} + \frac{ 12.8^2}{41} } }$

=> $t = 3.054$

The p-value is mathematically represented as

$p-value = P(Z > 3.054)$

Generally from the z table

$P(Z > 3.054) = 0.0011291$

=> $p-value = P(Z > 3.054) = 0.0011291$

From the values obtained we see that $p-value < \alpha$ so the null hypothesis is rejected

Thus the conclusion is

There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

5 0

2 years ago