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3 years ago

15

A data set contains an independent and a dependent variable. Which must be true of the data set if a linear function can be used

to represent the data?

1 answer:

Andrews [41]3 years ago

4 0

Answer:

the set must have a constant additive rate of change. the set must have a multiplicative rate of change.

Step-by-step explanation:

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Batteries are sold in packets and boxes each packet contains 8 batteries each box contains 25 batteries Jonathan buys p packets

melomori [17]

Answer: Expression in terms of p and b for the total number of batteries bought by Jonathan is given by

$8p+25b$

Step-by-step explanation:

Since we have given that

Each packet contains 8 batteries.

Each box contains 25 batteries.

Let number of packets be p

Let number of boxes be b

So, According to question,

$8p+25b$

Hence, Expression in terms of p and b for the total number of batteries bought by Jonathan is given by

$8p+25b$

7 0

4 years ago

Suppose 244 subjects are treated with a drug that is used to treat pain and 51 of them developed nausea. Use a 0.01 significance

vodka [1.7K]

Answer:

$z=\frac{0.209 -0.2}{\sqrt{\frac{0.2(1-0.2)}{244}}}=0.351$

$p_v =P(z>0.351)=0.363$

So the p value obtained was a very high value and using the significance level given $\alpha=0.01$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 1% of significance the proportion of subjects with nauseas is not higher than 0.2 or 20% at 1% of significance.

Step-by-step explanation:

Data given and notation

n=244 represent the random sample taken

X=51 represent the subjects with nausea

$\hat p=\frac{51}{244}=0.209$ estimated proportion of subjects with nausea

$p_o=0.2$ is the value that we want to test

$\alpha=0.01$ represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than 0.2.:

Null hypothesis: $p \leq 0.2$

Alternative hypothesis: $p > 0.2$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.209 -0.2}{\sqrt{\frac{0.2(1-0.2)}{244}}}=0.351$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.01$ . The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>0.351)=0.363$

So the p value obtained was a very high value and using the significance level given $\alpha=0.01$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 1% of significance the proportion of subjects with nauseas is not higher than 0.2 or 20% at 1% of significance.

6 0

3 years ago

Read 2 more answers

(4x-5)^3 - (x^2 + 4x+1)(4x-3)=?

neonofarm [45]

Answer:

64x^3-241x^2+296x-125

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

All the blank answers

wlad13 [49]

the sum of inner angles of a pentagon is equal to

$n - 2 \times 180 = (5 - 2) \times 180 \\ 3 \times 180 = 540$

so:

$x + 10 + x + 20 + 2x + 10 \\ + x + 10 + 2x = 540 \\ 7x + 50 = 540 \\ 7x = 490 \\ x = 70$

and the largest one is 150

$2x + 10 = 2(70) + 10 = 150$

the answer is 1/16

$4 {}^{ - 2} = \frac{1}{4 {}^{2} } = \frac{1}{16}$

the parallel line can be

y=2x+4

or any line with different y intercept

good luck

5 0

4 years ago

Which of the decimals or fractions is not equal to 0.825 or ?

balu736 [363]

I believe it would be option A 0.85, I do know C & D do equal so either A or B would be the answer of not equaling

8 0

3 years ago