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3 years ago

What’s an equation that passes through the ordered pair (3,7)and has a slope of -4

Mathematics

1 answer:

natita [175]3 years ago

6 0

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

According to the statement data we have:

$m = -4\\(x, y) :( 3,7)$

Then, the equation is of the form:

$y = -4x + b$

We substitute the given point and find "b":

$7 = -4 (3) + b\\7 = -12 + b\\7 + 12 = b\\b = 19$

Finally, the equation is of the form:

$y = -4x + 19$

Answer:

$y = -4x + 19$

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Lelu [443]

The correct answer would be to divide both side by 64 so (A)

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4. Each set of data was collected from surveys to answer statistical questions. Select all of the data sets that represent numer

Ede4ka [16]

Answer:

Options (A), (C), (D) and (E).

Step-by-step explanation:

There are two types of sets in the given options.

1). Numerical data - Data which shows the numeral values or the numbers which tells the exact meaning of quantities like length, width or height.

2). Categorical data - Data which has no numeral values or no logical order.

Therefore, sets which show the numerical data are,

Option (A)

Option (C)

Option (D)

Option (E)

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4 years ago

A buyer went to the market to buy strawberries. He purchased 120 randomly selected strawberries from a vendor who claimed that n

mafiozo [28]

Answer:

$z=\frac{0.333 -0.25}{\sqrt{\frac{0.25(1-0.25)}{120}}}=2.10$

$p_v =P(z>2.10)=0.018$

At 5% of significance we can conclude that the true proportion of strawberries damage is higher than 0.25

Step-by-step explanation:

Data given and notation

n=120 represent the random sample taken

X=40 represent the number of strawberries damaged

$\hat p=\frac{40}{120}=0.333$ estimated proportion of strawberries damaged

$p_o=0.25$ is the value that we want to test

$\alpha$ represent the significance level

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 no more than 25% of his total harvest of strawberries was damaged.:

Null hypothesis: $p\leq 0.25$

Alternative hypothesis: $p > 0.25$

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:

$z=\frac{0.333 -0.25}{\sqrt{\frac{0.25(1-0.25)}{120}}}=2.10$

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 next step would be calculate the p value for this test.

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

$p_v =P(z>2.10)=0.018$

At 5% of significance we can conclude that the true proportion of strawberries damage is higher than 0.25

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3 years ago

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Dahasolnce [82]

8 buses is what you need

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4 years ago

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