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3 years ago

Select the correct answer.

Mathematics

2 answers:

Bas_tet [7]3 years ago

5 0

Answer:

Step-by-step explanation:

have you try use a math table or divid that what i did

Kipish [7]3 years ago

5 0

Answer:

x = 3 and y= -6 or (3, -6)

Step-by-step explanation:

-3(3x + 2y = -3) 3x + 2(-6) = -3

9x + 4y = 3 3x -12 = -3

3x = 9

-9x - 6y = 9 x = 3

9x +4y = 3

-2y = 12

y = -6

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We draw a random sample of size 36 from a population with standard deviation 3.5. If the sample mean is 27, what is a 95% confid

inessss [21]

Answer:

The 95% confidence interval for the population mean is between 25.86 and 28.14.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96\frac{3.5}{\sqrt{36}} = 1.14$

The lower end of the interval is the sample mean subtracted by M. So it is 27 - 1.14 = 25.86

The upper end of the interval is the sample mean added to M. So it is 27 + 1.14 = 28.14

The 95% confidence interval for the population mean is between 25.86 and 28.14.

3 0

3 years ago

Read 2 more answers

Susan started with a certain number of dollars. She then decided on a number of dollars she would save each day. She added the d

GaryK [48]

Answer:

Susan start with 12 dollars

Equation to model the number of dollars Susan has saved, y, after x days : $4x-y+12=0$

Step-by-step explanation:

Given : She added the dollars she saved to the amount with which she started. At the end of day 2, Susan had a total of 20 dollars saved. At the end of day 5, she had a total of 32 dollars saved.

To Find: How many dollars does Susan start with? Show or explain your work. Write an equation to model the number of dollars Susan has saved, y, after x days.

Solution :

Since At the end of day 2, Susan had a total of 20 dollars saved.

⇒ $(x_{1} ,y_{1})=(2,20)$