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Marina CMI [18]
3 years ago
13

Solve the following equation for X: 2x - 8 = -2

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0

Answer:

x = 3

Step-by-step explanation:

2x - 8 = -2

<u>+</u><u>8</u><u> </u><u> </u><u> </u><u>+</u><u>8</u>

<u>2</u><u>x</u><u> </u> = <u>6</u><u> </u>

2 2

x = 3

If you want to check your solution then you add 3 to x. Once its added 2 x 3 equals 6 - 8 = - 2

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An education researcher claims that 58​% of college students work​ year-round. In a random sample of 400 college​ students, 232
Hatshy [7]

Answer:

The proportion of college students who work​ year-round is 58%.

Step-by-step explanation:

The claim made by the education researcher is that 58​% of college students work​ year-round.

A random sample of 400 college​ students, 232 say they work​ year-round.

To test the researcher's claim use a one-proportion <em>z</em>-test.

The hypothesis can be defined as follows:

<em>H</em>₀: The proportion of college students who work​ year-round is 58%, i.e. <em>p</em> = 0.58.

<em>Hₐ</em>: The proportion of college students who work​ year-round is 58%, i.e. <em>p</em> ≠ 0.58. C

Compute the sample proportion as follows:

 \hat p=\frac{232}{400}=0.58

Compute the test statistic value as follows:

 z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.58-0.58}{\sqrt{\frac{0.58(1-0.58)}{400}}}=0

The test statistic value is 0.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

Compute the p-value for the two-tailed test as follows:

 p-value=2\times P(z

*Use a z-table for the probability.

The p-value of the test is 1.

The p-value of the test is very large when compared to the significance level.

The null hypothesis will not be rejected.

Thus, it can be concluded that the proportion of college students who work​ year-round is 58%.

6 0
3 years ago
Write the equation of the line with the given slope and y- intercept. 1.Slope is -2 and a y-intercept of 5.
Monica [59]

Since the slope is -2, then m=-2. Since the y-intercept is 5, b=5. Then, we can create the equation: y=-2x+5


Since the slope is \frac{3}{4}, then m=\frac{3}{4}. Since the y-intercept is -3, b=-3.

Then, we can create the equation: y=\frac{3}{4}x-3



5 0
3 years ago
Using {0,1,3,4,5,6,9}, how many four-digit numbers with different digits can be produced between 4000 to 5000, if the numbers mu
bogdanovich [222]

Answer:18

Step-by-step explanation:

8 0
3 years ago
Hezekiel runs 1000 m at a rateof 3 minutes per km. how long does he take to run 500 m​
lana66690 [7]

Step-by-step explanation:

1 km = 1000 m

(hence the term "kilo" which means 1000).

so. he runs 1000 m at the rate of 3 minutes per km, that means 3 minutes per 1000 m.

now, we can see the solution already with our eyes.

but let's do it formally :

the rate or ratio between time and distance must be the same for the same speed.

so,

3 min / 1000 m = x min / 500 m

500 m × 3 min / 1000 m = x min

1/2 × 3 min = x min

3/2 = 1.5 min = x min

so, it takes him 1.5 minutes (90 seconds) to run 500 m.

3 0
2 years ago
Experimental verification of opposite side of parallelograms .
zloy xaker [14]
If you mean  proof that the opposite sides of a parallelogram are equal, you draw a diagonal then prove that the 2 triangles formed are congruent.
6 0
3 years ago
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