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iragen [17]
3 years ago
8

What is a system of equations for the following situation? There is a total of 30 questions on a test. Some questions are multip

le-choice and some are short answers. The multiple-choice questions are worth 2 points and the short answer questions are worth 6 points. There is a total of 100 points on the test.
Mathematics
1 answer:
Alexxx [7]3 years ago
8 0

Answer:

m + s = 30

2m + 6s = 100

Step-by-step explanation:

took the test

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Which functions are symmetric with respect to the y axis<br>​
Inessa05 [86]

Answer:

A, B, and D

Step-by-step explanation:

Only the functions that have x by itself between the absolute value signs (A, B, and D) are symmetric with respect to the y-axis .

Placing a constant outside the absolute value signs moves the function up or down the y-axis but retains the symmetry.

Adding a constant inside the absolute value signs (as in C and E) moves the axis of symmetry to the left or right of the y-axis.

In the diagram, both A and B are symmetric with respect to the y-axis, but C has been shifted three units to the left.

4 0
3 years ago
A random sample of 100 observations from a quantitative population produced a sample mean of 22.8 and a sample standard deviatio
natima [27]

Answer:

We conclude that the population mean is 24.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 24

Sample mean, \bar{x} = 22.8

Sample size, n = 100

Alpha, α = 0.05

Sample standard deviation, s = 8.3

First, we design the null and the alternate hypothesis

H_{0}: \mu = 24\\H_A: \mu \neq 24

We use Two-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{22.8 - 24}{\frac{8.3}{\sqrt{100}} } = -1.44

We calculate the p-value with the help of standard z table.

P-value = 0.1498

Since the p-value is greater than the significance level, we accept the null hypothesis. The population mean is 24.

Now, z_{critical} \text{ at 0.05 level of significance } = \pm 1.96

Since,  the z-statistic lies in the acceptance region which is from -1.96 to +1.96, we accept the null hypothesis and conclude that the population mean is 24.

7 0
3 years ago
Line p contains point (6, -5) and is perpendicular to line q. The equation for line q is y = 3x + 5. 1) Write an equation for li
wel

Answer:

y = -\frac{1}{3}x -3

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes. To find the line, convert the slope of q and substitute it with (6, -5) into point slope form.

y = 3x + 5 is q. It has a slope of 3. So p will have a slope of -1/3.

y - y_1 = m(x-x_1)\\y - -5 = -\frac{1}{3}(x - 6)\\y + 5 = -\frac{1}{3}x + 2\\y = -\frac{1}{3}x -3

4 0
3 years ago
Write 1/4 as a decimal.
n200080 [17]

Answer:

0.25

Step-by-step explanation:

4 0
3 years ago
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bookstore carries 20 magazines. 90% of the magazines are women's. how many magazines does the store carry
Nat2105 [25]
The store carries 20 magazines but if you are asking how many many magazines are women's the answer is 18
8 0
3 years ago
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