Please help with 7-15!!!

Mathematics

1 answer:

Klio2033 [76]3 years ago

8 0

Answer:

Step-by-step explanation:

Sorry, I could do only the first three questions

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which statements about the system are true? check all that apply. y = x – 4 3y – x = –7 the system has one solution. the system

Dmitrij [34]

The slope of the first equation has a slope of one and a y intercept of -4. The second equation has a y intercept of -2.3333 as seen when plugging in 0 for x, so the same y-intercept and same line are out of the question. This means either they have the same slope and thus are parallel or intersect at some point. A simple way to find out? Plug in 1 for x on the second. If it isn't -1.33333, which is a slope of positive 1 such as in the first equation, they WILL INTERSECT somewhere. When plugging in 1, we get
3y - 1 = -7
3y = -6
y = -2
(1, -2) is the next point after (0, -2.3333)
That means it is most certainly not the same slope, and thus they will intersect at some point. The two slopes are 1/1 and 1/3 if you weren't aware.

8 0

4 years ago

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when you sign up for video games are you get 400 points you earn 50 more points for each hour that you play how many hours do yo

aleksandr82 [10.1K]

This is a linear equation
y=mx+b
y=50x+400 (when x equals the number of hours played)

1000=50x+400
*first, isolate the variable (x)
-50x=-1000+400
*divide by -50 to get x by itself
x=20+8

The answer is x=28

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3 years ago

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Jake makes and sells pies. He sells each pie for $5.75. The materials to make each pie costs Jake $4.00. The boxes Jakes put the

Studentka2010 [4]

Answer:

Step-by-step explanation:It Said on Usa Test prep

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4 years ago

An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equ

kompoz [17]

Answer:

0.62% probability that a random sample of 16 bulbs will have an average life of less than 775 hours.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$

Normal probability distribution.

Problems of normally distributed samples can be 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.

In this problem, we have that:

$\mu = 800, \sigma = 40, n = 16, s = \frac{40}{\sqrt{16}} = 10$