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masha68 [24]
3 years ago
15

A system of linear equations has been graphed in the diagram. Determine a reasonable solution for the system of equations.

Mathematics
1 answer:
zaharov [31]3 years ago
5 0

Answer:

(- 2, 3)

Step-by-step explanation:

The solution of the graphed system is the point of intersection of the 2 lines.

This occurs in the second quadrant where the x- coordinate is negative and the y- coordinate positive.

A reasonable estimate is therefore (- 2, 3)

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1kg= 2.2 pounds<br> Change 44 pounds in kg
Lyrx [107]
<u><em>Answer:</em></u>
44 pounds = 20 kg

<u><em>Explanation:</em></u>
<u>We are given that:</u>
1 kg = 2.2 pounds

To convert 44 pounds into kg, all we have to do is <u>cross multiplication</u> as follows:
1 kg .................> 2.2 pounds
?? kg .................> 44 pounds

<u>Now, we solve as follows:</u>
4 kg = \frac{44*1}{2.2} = 20 pounds

Hope this helps :)
4 0
3 years ago
The lifespan (in days) of the common housefly is best modeled using a normal curve having mean 22 days and standard deviation 5.
Natasha_Volkova [10]

Answer:

Yes, it would be unusual.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If Z \leq -2 or Z \geq 2, the outcome X is considered unusual.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\mu = 22, \sigma = 5, n = 25, s = \frac{5}{\sqrt{25}} = 1

Would it be unusual for this sample mean to be less than 19 days?

We have to find Z when X = 19. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{19 - 22}{1}

Z = -3

Z = -3 \leq -2, so yes, the sample mean being less than 19 days would be considered an unusual outcome.

7 0
2 years ago
Find the missing length in the image below
Ket [755]

Answer:

1 length ityoughkdds hshlkb

7 0
2 years ago
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The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and
Ilya [14]

Answer: 55-1/2w=p

Step-by-step explanation: 55 is the starting weight. Therefore, you need to subtract  55 by 1/2 (the amount of weight he loses each week) times each week. This will determines the weight- (p).

6 0
3 years ago
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A bag contains 3 red, 5 black, and 7 white balls. You take them out, one at a time, without looking. What is the least number of
Neko [114]

Answer:

its rather 3 or 5 its prob 3

Step-by-step explanation:

4 0
3 years ago
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