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3 years ago

Type the missing numbers in this sequence: -101, -105, -109, -117

Mathematics

2 answers:

PIT_PIT [208]3 years ago

6 0

Answer:

The answer is - 113 that is the correct answer skipping in three's and the first one is - 97

Trava [24]3 years ago

6 0

Answer:

-97, -101, -105, -109, -113, -117

Step-by-step explanation:

the order was add <em>-4</em> each time

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How many cups of yogurt would 5 people get if they equally shared 3/4 cups of yougurt

son4ous [18]

So the short answer is 3/20 cups. When you take 3/4 and turn it into a decimal, .75 then you can easily divide .75 by 5 and you get .15 or 3/20.

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3 years ago

Find the third side in simplest radical form:

leonid [27]

Answer:

The third side is 8

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 =c^2 where a and b are the legs and c is the hypotenuse

a^2 + 15^2 = 17^2

a^2 +225 = 289

Subtract 225 from each side

a^2 +225-225=289-225

a^2 = 64

Take the square root of each side

sqrt(a^2) = sqrt(64)

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3 years ago

What is the simplified expression for 3a²+9ab+5-4a²-4ab+3

zheka24 [161]

Answer:

5ab + 8 - 1a^2.

Step-by-step explanation:

Combining like terms, we get 3a^2 - 4a^2 = -1a^2. We get 9ab - 4ab = 5ab. Then we get, 5 + 3 = 8. Together this is 5ab + 8 - 1a^2

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4 years ago

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You get in an elevator and go up 4 floors. You exit on the 12th floor. What floor did you get on the elevator

MissTica

Answer: 8th floor

Explanation:

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3 years ago

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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

3 years ago