Find the difference of the following sequence -7, -9,-11.....

A box has dimensions of 2.6 cm x 3.5 cm x 5.1 cm. What is the volume of the box in cubic centimeters?

aivan3 [116]

Answer:

46.4 cm3

Step-by-step explanation:

3 0

3 years ago

Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Us

grigory [225]

Answer:

The confidence interval on this case is given by:

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

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

$\bar X = \frac{62.532+76.478}{2}= 69.505$

So then the mean for this case is 69.505

Step-by-step explanation:

Previous concepts

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".

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".

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma$ represent the population standard deviation

n represent the sample size

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma)$

The confidence interval on this case is given by:

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

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

$\bar X = \frac{62.532+76.478}{2}= 69.505$

So then the mean for this case is 69.505

5 0

3 years ago

Alonzo will participate in a charity walkathon.Her Mother will donate $10 for Alonzo participation plus and additional $2 for ea

umka2103 [35]

Answer:

Total donation by Alonzo's mother = $40.

Step-by-step explanation:

Complete Question.

Alonzo will participate in a charity walkathon.Her Mother will donate $10 for Alonzo participation plus and additional $2 for each mile that Alonzo walks.

If Alonzo walks 15 miles, What will be the amount of her mother’s donation?

Alonzo's mum donates $10 for participation and an additional $2 per mile.

Alonzo walks 15 miles, this translates to an additional donation of (15×$2) = $30

Total donation by Alonzo's mother = $10 + $30 = $40.

Hope this Helps!!!

5 0

3 years ago

A quadratic function f(x)=ax2 passes through (0,0) and (5,5). write an equation for this function

krek1111 [17]

Answer:

y = (1/5)x² or y = x²/5

Step-by-step explanation:

We have the function f(x) = ax² and are given that the point (5,5) is on the parabola. We need to find 'a'. f(x) can be replaced with 'y', so we can rewrite the equation as...

y = ax²

We know that when x = 5, y = 5, so we have

5 = a(5²) now simplify...

5 = 25a

5/25 = a

1/5 = a, so our equation becomes

(1/5)x² or x²/5 (the expressions are equal)

8 0

3 years ago

Which of the following triangles is an obtuse triangle?

Nikolay [14]

Answer:

First triangle

Step-by-step explanation:

First triangle is the obtuse triangle.

4 0

3 years ago