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Lostsunrise [7]
3 years ago
11

Which linear function represents the line given by the point-slope equation y + 7 = –2/3(x + 6)?a. f(x) = –2/3x – 11b. f(x) = –2

/3x – 1c. f(x) = –2/3x + 3d. f(x) = –2/3x + 13
Mathematics
1 answer:
Pavel [41]3 years ago
4 0

Answer:

option C

y=\frac{-2}{3}x-11

Step-by-step explanation:

The point slope equation of a line is given by

y-y_1=m(x-x_1)

Where m is the slope and (x1,y1) is the point on the point

y + 7 =\frac{-2}{3}(x + 6)

We need to write the equation in y=mx+b form

multiply -2/3 inside the parenthesis

y + 7 =\frac{-2}{3}x-4

Subtract 7 from both sides

y=\frac{-2}{3}x-11

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Clarinex is a drug used to treat asthma. In clinical tests of this drug, 1655 patients were treated with 5- mg doses of Clarinex
bagirrra123 [75]

Answer:

z=\frac{0.021 -0.012}{\sqrt{\frac{0.012(1-0.012)}{1655}}}=3.363  

p_v =P(z>3.363)=0.00039  

So the p value obtained was a very low value and using the significance level given \alpha=0.01 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is significantly higher than 0.012 (1.2%)

Step-by-step explanation:

Data given and notation

n=1655 represent the random sample taken

\hat p=0.021 estimated proportion of interest

p_o=0.012 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 true proportions is higher than 0.012.:  

Null hypothesis:p \leq 0.012  

Alternative hypothesis:p > 0.012  

When we conduct a proportion test we need to use the z statisitic, 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{0.021 -0.012}{\sqrt{\frac{0.012(1-0.012)}{1655}}}=3.363  

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>3.363)=0.00039  

So the p value obtained was a very low value and using the significance level given \alpha=0.01 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is significantly higher than 0.012 (1.2%)

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3 years ago
The graph of the function B is shown below. find B(1).
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Answer:

B(1) = 2

Step-by-step explanation:

Function B(x), according to the graph, which point has an x-value of 1? Point (1, 2). So the solution is 2.

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Question 2:
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Question 4:
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Question 5:
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saveliy_v [14]

Answer:

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Step-by-step explanation:

In this question, we are asked to calculate the value of the angle x

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