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3 years ago

Can someone help me on this question?

Mathematics

1 answer:

grandymaker [24]3 years ago

5 0

20. (a) a rectangle
(b) a circle
(c) triangle

22. volume = pi r^2 h
10 = pi r^2 * 2
r^2 = 10 / 2pi = 1,5915
r = 1.262
diameter = 2 *1.262 = 2.52 feet to the nearest hundredth Answer

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Plz help I’ll mark you

timurjin [86]

Answer:

A 1/2

Step-by-step explanation:

Ratio of short length to hypotenuse

= cos60

= 1/2

4 0

3 years ago

The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of m

UkoKoshka [18]

Answer:

Let X the random variable that represent the delivery times of a population, and for this case we know the distribution for X is given by:

$X \sim N(14.7,3.7)$

Where $\mu=14.7$ and $\sigma=3.7$

Since the distribution of X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we have;

$\mu_{\bar X}= 14.70$

$\sigma_{\bar X} =\frac{3.7}{\sqrt{40}}= 0.59$

Step-by-step explanation:

Assuming this question: The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of 14.7 minutes and a standard deviation of 3.7 minutes. Let R be the mean delivery time for a random sample of 40 orders at this restaurant. Calculate the mean and standard deviation of $\bar X$ Round your answers to two decimal places.

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the delivery times of a population, and for this case we know the distribution for X is given by:

$X \sim N(14.7,3.7)$

Where $\mu=14.7$ and $\sigma=3.7$

Since the distribution of X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we have;

$\mu_{\bar X}= 14.70$

$\sigma_{\bar X} =\frac{3.7}{\sqrt{40}}= 0.59$

4 0

3 years ago

Tell what you would do to isolate the variable.

Mariana [72]

<span>Simplifying x + -1.4 = 7.82 Reorder the terms: -1.4 + x = 7.82 Solving -1.4 + x = 7.82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.4' to each side of the equation. -1.4 + 1.4 + x = 7.82 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + x = 7.82 + 1.4 x = 7.82 + 1.4 Combine like terms: 7.82 + 1.4 = 9.22 x = 9.22 Simplifying x = 9.22</span>

5 0

3 years ago

Read 2 more answers

The measure of an angle is 78°. What is the measure of a complementary angle?

ki77a [65]

First you need to know the definition of a complementary angle. That means that two angles add up to 90 degrees, or a right angle.

To find an angle complementary to a 78 degree angle, you need to subtract 78 from 90.

90 - 78 = 12

6 0

3 years ago

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Please someone help me. Thank you.

KiRa [710]

Answer:

Step-by-step explanation:

take x degree as reference angle

using tan rule

tan x=opposite/adjacent

tan x=6.1/5.1

tan x=1.19

x= $tan^{-1}$ 1.19

x=49.95

x=50 degree

3 0

3 years ago