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2 years ago

Which type of proof uses boxes and arrows to show the logical connections between statements?

Mathematics

2 answers:

vovangra [49]2 years ago

8 0

Answer:

Flowchart proof

Step-by-step explanation:

kramer2 years ago

5 0

A flow proof is the correct answer.

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The proprietor of a boutique in New York wanted to determine the average age of his customers. A random sample of 25 customers r

jolli1 [7]

Answer:

$28-2.064\frac{10}{\sqrt{25}}=23.872$

$28+2.064\frac{10}{\sqrt{25}}=32.128$

So on this case the 95% confidence interval would be given by (23.9;32.1)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=28$ represent the sample mean

$\mu$ population mean (variable of interest)

s=10 represent the sample standard deviation

n=25 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=25-1=24$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that $t_{\alpha/2}=2.064$

Now we have everything in order to replace into formula (1):

$28-2.064\frac{10}{\sqrt{25}}=23.872$

$28+2.064\frac{10}{\sqrt{25}}=32.128$

So on this case the 95% confidence interval would be given by (23.9;32.1)

7 0

2 years ago

The equation $x + {y = 2 can be rewritten in a form that reveals the y-intercept of the graph of the equatior

SSSSS [86.1K]

Answer:

$y = \frac{2}{z} - \frac{x}{z}$

Step-by-step explanation:

Given

$x + zy = 2$

Required

Rewrite to show y-intercept

We have: $x + zy = 2$

Subtract x from both sides

$zy = 2-x$

Divide both sides by z

$y = \frac{2}{z} - \frac{x}{z}$

The y intercet is: $\frac{2}{z}$

7 0

2 years ago

Is the point P (2,8) on the inside or outside of the circle described with equation x^2+y^2=100?

kykrilka [37]

Points $(x,y)$ on the circle satisfy $x^2+y^2=100$ .

Points inside the circle satisfy $x^2+y^2$ .

Points outside the circle satisfy $x^2+y^2>100$ .

We have

$2^2+8^2=4+64=68$

so the point (2, 8) lies inside the circle.

6 0

2 years ago

Write equations for lines

elena-s [515]

y=mx+b

y-y1=m(x-x1)

Ax+By= C

6 0

2 years ago

Read 2 more answers

A group of workers can plant 5/8 acres in 4/5 days. What is the unit rate in acres per day?

Mila [183]

In order to find the unit rate of acres per day, or in other words, how many acres can they plant in one day, you must divide 5/8, the number of acres planted, by 4/5, the number of days it took to plant. When you divide the two fractions, first set up an expression:
5/8÷4/5

Then, to make things simpler, turn the division expression into a multiplication statement so that you have 5/8*5/4. Then multiply straight across and you get your answer as 25/32. This means that the workers can plant 25/32 acres per day.

3 0

2 years ago