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Bezzdna [24]
2 years ago
15

Help me please, I would really appreciate it...​

Mathematics
1 answer:
Free_Kalibri [48]2 years ago
4 0
5 because you go down 1, right 5 , and move 0
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Find the value of ( x-y )^2 when x = 9 and y = -8​
Molodets [167]

Answer: 289

Step-by-step explanation:

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Listed below are the lead concentrations in mu ??g/g measured in different traditional medicines. Use a 0.10 0.10 significance l
laiz [17]

Answer:

We conclude that the mean lead concentration for all such medicines is less than 17 mu.

Step-by-step explanation:

We are given below are the lead concentrations in mu;

6.5 18.5 21.5 5.5 8.5 4.5 4.5 17.5 15.5 20

We have to test the claim that the mean lead concentration for all such medicines is less than 17 mu.

<u><em>Let </em></u>\mu<u><em> = mean lead concentration for all such medicines.</em></u>

So, Null Hypothesis, H_0 : \mu = 17 mu      {means that mean lead concentration for all such medicines is equal to 17 mu}

Alternate Hypothesis, H_A : \mu < 17 mu       {means that the mean lead concentration for all such medicines is less than 17 mu}

The test statistics that would be used here <u>One-sample t test</u> <u>statistics</u> as we don't know about population standard deviation;

                      T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n}}}  ~ t_n_-_1

where, \bar X = sample mean lead concentration = \frac{\sum X}{n} = 12.25 mu

             s = sample standard deviation = \sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} } = 6.96 mu

             n = sample size = 10

So, <u><em>test statistics</em></u>  =  \frac{12.25 -17}{\frac{6.96}{\sqrt{10}}}  ~ t_9

                              =  -2.16

The value of t test statistics is -2.16.

<u>Now, the P-value of the test statistics is given by the following formula;</u>

                P-value = P( t_9 < -2.16) = <u>0.031</u>

<u><em>Now, at 0.10 significance level the t table gives critical value of -1.383 for left-tailed test.</em></u><em> Since our test statistics is less than the critical value of t as -2.16 < -1.383, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><em><u>we reject our null hypothesis</u></em><em>.</em>

Therefore, we conclude that the mean lead concentration for all such medicines is less than 17 mu.

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3 years ago
A bag contains colored markers. A marker will be randomly selected from the bag.
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There is an 80% chance to find a red or purple. The total number of markers is 40 and the combined number of red and purple is 32. Dividing 32 by 40 gives you 4/5, 0.8, or 80%
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Find the equation of the line with slope −5 and that contains the point (−9,−5). Write the equation in the form y=mx+b and ident
Elina [12.6K]

Answer & Step-by-step explanation:

Slope-intercept form:

y=mx+b

m is the slope and b is the y-intercept. Insert the given slope:

y=-5x+b

To find the y-intercept, take the given coordinate point and insert:

(-9_{x},-5_{y})\\\\-5=-5(-9)+b

Solve for b:

Simplify multiplication:

-5=45+b

Subtract 45 from both sides:

-50=b\\\\b=-50

The y-intercept is -50. Insert:

y=-5x-50

m=-5\\b=-50

Use the slope formula for when you have two points:

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}

The slope is the change in the y-axis over the change in the x-axis, or rise over run. Insert the points:

(2_{x1},4_{y1})\\(10_{x2},2_{y2})

\frac{2-4}{10-2}=\frac{-2}{8}=-\frac{2}{8}=-\frac{1}{4}

The slope is -\frac{1}{4} . Insert:

y=-\frac{1}{4}x+b

Now follow the steps from the last problem to find the y-intercept. Choose a point and insert into the equation:

(2_{x},4_{y})\\\\4=-\frac{1}{4}(2)+b

Solve for b:

Simplify multiplication:

-\frac{1}{4}*\frac{2}{1}=-\frac{2}{4}=-\frac{1}{2}

Re-insert:

4=-\frac{1}{2} +b

Subtract b from both sides:

4-b=-\frac{1}{2} +b-b\\\\4-b=-\frac{1}{2}

Subtract 4 from both sides:

4-4-b=-\frac{1}{2}-4\\\\-b=-\frac{1}{2}-4

Simplify subtraction:

-\frac{1}{2}-4=-\frac{1}{2}  -\frac{4}{1} =-\frac{1}{2} -\frac{8}{2} \\\\-\frac{1}{2} -\frac{8}{2}=-\frac{9}{2}

Re-insert:

-b=-\frac{9}{2}

Divide both sides by -1 to make the variable positive (can be seen as -1b):

b=\frac{9}{2}

The y-intercept is \frac{9}{2} .

Write the equation:

y=-\frac{1}{4}x+\frac{9}{2}

:Done

7 0
3 years ago
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