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Svetlanka [38]
3 years ago
8

What is the diffrence between 48 degrees Fahrenheit and -13 degrees fahrenheit​

Mathematics
1 answer:
katen-ka-za [31]3 years ago
8 0

Answer:

61

Step-by-step explanation:

=48 - -13

= 48 + 13

=61

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I will give Brainliest!!! :D
max2010maxim [7]

Answer:

Yes

Step-by-step explanation:

If your recipe requires two large eggs, you can substitute two eggs of either medium, extra-large or jumbo size.

(i really need brainly)

5 0
3 years ago
Read 2 more answers
How much of an alloy that is copper should be mixed with ounces of an alloy that is copper in order to get an alloy that is ​cop
tekilochka [14]

Answer:

1r + 8(400) = 3(r+400)

1r + 320 = 3r + 120

2r = 200

r = 200 / 2 = 1000

1400 * 3 = 420

100 + 320 = 420

Step-by-step explanation:

4 0
3 years ago
A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of
yan [13]

Answer:

"The probability that the mean battery life would be greater than 948.8 minutes" is 0.1446.

Step-by-step explanation:

In this case, the quality control expert takes a <em>sample</em> of batteries. From these batteries, we want to find "the probability that the mean battery life would be greater than 948.8 minutes".

Different concepts needed to take into account to solve this question

Sampling Distribution of the Means

For doing this, we need to use the sampling distribution of the means, which results from taking the mean for each possible sample coming from a random variable \\ x. Roughly speaking, each sample will have a different mean, \\ \overline{x}, and the probability distribution for any of these means is called the <em>sampling distribution of the means</em>.

The sampling distribution of the means has a mean that equals the population's mean for the random variable \\ x, i.e., \\ \mu, and its standard deviation is \\ \frac{\sigma}{\sqrt{n}}. We can express this mathematically as:

\\ \overline{x} \sim N(\mu, \frac{\sigma}{\sqrt{n}}) [1]

Standardized Values for \\ \overline{x}

We can standardized the values for \\ \overline{x} using <em>z-scores</em>:

\\ Z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}} [2]

This random variable \\ Z follows a <em>standard normal distribution</em>, that is, \\ Z \sim N(0,1), and it is easier to find probabilities since the values for them are tabulated in the <em>standard normal table</em> (available in any Statistics book or on the Internet.)

What type of distribution follows the sampling distribution of the means?

A general rule of thumb is that this distribution (the sampling distribution of the means) follows a <em>normal distribution</em> if the sample size, \\ n, is bigger than or equal to 30 observations, or \\ n \geq 30. In this case, \\ n = 109 batteries. This is a result from the Central Limit Theorem, fundamental in Statistical Inference.

Standard Deviation

We have to remember that the standard deviation is the square root of the variance \\ \sigma^2, or \\ \sqrt{\sigma^2}.

  • \\ \sigma^{2} =5929
  • \\ \sigma = \sqrt{5929} = 77

Therefore, the standard deviation in this case is \\ \sigma = 77 minutes.

In sum, we have the following information to answer this question:

  • \\ \sigma = 77 minutes.
  • \\ \mu = 941 minutes.
  • \\ n = 109 batteries (the sample size is <em>large enough</em> to assume that the sampling distribution of the means follows a <em>normal distribution</em>).
  • \\ \overline{x} = 948.8 minutes.

What is the probability that the mean battery life would be greater than 948.8 minutes?

Well, having all the previous information, we can use [2] to solve this question (without using units):

\\ z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

\\ z = \frac{948.8 - 941}{\frac{77}{\sqrt{109}}}

\\ z = \frac{7.8}{\frac{77}{\sqrt{109}}}

\\ z = \frac{7.8}{7.37526}

\\ z = 1.05758 \approx 1.06

This result is the <em>standardized value</em> or <em>z-score</em> for \\ \overline{x}, considering \\ \mu = 941 and \\ \sigma = 77.

We round <em>z</em> to two decimals digits since <em>standard normal table</em> only uses it as an entry to find probabilities.

With \\ z = 1.06, we can consult the <em>cumulative standard normal table. </em>First, we need to find with \\ z = 1.0 in the first column in the table. Then, in its first raw, we need to find +0.06. The intersection for these two values determines the cumulative probability for \\ P(z.

It is important to recall that \\ P(z because \\ z = 1.06 is the standardized value for \\ \overline{x} = 948.8 minutes.

Then,  \\ P(z

However, the question is about \\ P(\overline{x} > 948.8) = P(z>1.06)

And

\\ P(\overline{x} > 948.8) + P(\overline{x} < 948.8) = 1

Or

\\ P(z>1.06) + P(z

Then

\\ P(z>1.06) = 1 - P(z

\\ P(z>1.06) = 1 - 0.8554

\\ P(z>1.06) = 0.1446

Therefore, "the probability that the mean battery life would be greater than 948.8 minutes" is 0.1446.

6 0
4 years ago
Identify the slope-intercept form and the graph of the line described by the equation 2x−y=7.
Georgia [21]
Answer :
2x - y = 7
-y = -2x + 7
y = 2x - 7 <— slope-intercept form
3 0
3 years ago
A group of 328 people consists of men ,women, and children. There are five times as many men than children and twice as many wom
maxonik [38]

Step-by-step explanation:

Ultimately we know:

Men = * 5

Women = * 2

Children =

We can already make the estimation that the amount of children will be below 50. So by trial and error you will get to your answer by substituting with 41.

Children - 41

Women - 41 x 2 = 82

Men - 41 x 5 = 205

205 + 41 + 82 = 328

So your answer is <u>41</u>

5 0
2 years ago
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