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3 years ago

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Separate the x- and y-values with a comma. X=-3+y 26x - 5y = 6

1 answer:

labwork [276]3 years ago

5 0

Answer:

The solution of the given system is (x,y) = (1,4)

Step-by-step explanation:

Here, the given system of equation is:

x = -3 + y

26 x - 5 y = 6

Now, substitute x = -3 + y in the second equation , we get

26 x - 5 y = 6 ⇒ 26 (-3 + y) - 5 y = 6

or, 26(-3) + 26(y) - 5y = 6

⇒ - 78 + 26 y - 5y = 6

⇒ 21 y = 84

⇒ y = 84 / 21 = 4 or , y = 4

So x = -3 + y = -3 + 4 = 1

Hence, the solution of the given system is (x,y) = (1,4)

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At a Psychology final exam, the scores are normally distributed with a mean 73 points and a standard deviation of 10.6 points. T

USPshnik [31]

Answer:

The score that separates the lower 5% of the class from the rest of the class is 55.6.

Step-by-step explanation:

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 question:

$\mu = 73, \sigma = 10.6$

Find the score that separates the lower 5% of the class from the rest of the class.

This score is the 5th percentile, which is X when Z has a pvalue of 0.05. So it is X when Z = -1.645.

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

$-1.645 = \frac{X - 73}{10.6}$

$X - 73 = -1.645*10.6$

$X = 55.6$

The score that separates the lower 5% of the class from the rest of the class is 55.6.

3 0

3 years ago

At a cookout, the ratio of hamburgers to veggie burgers is 12:5. If 30 veggie burgers were eaten, how many hamburgers were eaten

Slav-nsk [51]

Answer:

72

Step-by-step explanation:

12x6=72

4 0

3 years ago

A line passes through the point (2, -9) and has a slope of -9. Write an equation in point-slope form for this line.

Natali [406]

Answer:

$y+9 = - 9x +18$

Step-by-step explanation:

Line is passing through the point $(2,\: - 9) =(x_1,\:y_1)$ and has slope (m) = - 9

General equation of line in point slope form is given as:

$y-y_1 = m(x-x_1)$

Therefore

$y-(-9) = - 9(x-2)$

$y+9 = - 9x +18$

This is the required equation of line in point slope form.

4 0

3 years ago

A number cube with faces labeled 1 to 8 is rolled once. The number rolled will be recorded as the outcome. Consider the followin

andrew11 [14]

Answer to A:

50%

Explanation for A:

We're looking for how many numbers are odd, so theres 1, 3, 5 ,7, four numbers.

We have a total of 8 numbers.

$\frac{4}{8} = 0.5$

To make any number a percent we move the point over to the right by two, which makes our final answer 50%

Answer to B:

37.5%

Explanation for B:

If the number is less than four, that means we need to find if it will roll the first three numbers. We, once again, have eight total possibilities

$\frac{3}{8} = 0.375$

0.375 can be turned into our final answer, 37.5%

4 0

3 years ago

Some help no bs plss

Natasha2012 [34]

Answer:

hi

<u>Option C</u> will be your answer

Step-by-step explanation:

have a nice day!!

3 0

3 years ago