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asambeis [7]
3 years ago
8

PROBLEM #5

Mathematics
1 answer:
andrezito [222]3 years ago
5 0

Answer:

12.5%

Step-by-step explanation:

80 - 70 = 10

10 / 80 = 0.125

Convert decimal to percent.

0.125 = 12.5%

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Which equation of a line passes through the points (3, −1) and (6, 1)?
Vaselesa [24]

Answer:

Y = 2/3x - 3

Step-by-step explanation:

Recall the general equation for a straight line is

y = mx + b

where m is the gradient and b is the y-intercept

given 2 points whose coordinates are (x1, y1) and (x2, y2), m can be found with the following formula:

m = \frac{y1-y2}{x1-x2}

in this case, x1 = 3, y1 = -1, x2 = 6, y2=1

applying these values to the formula for m will give

m =  (-1 -1) / (3-6) = 2/3

We can see immediately that only the first (top-most) answer has this value for m and we can guess that this is probably the answer.

But we can still check to confirm:

If we substitute this back into the general equation, we get:

y = (2/3)x + b

In order to find the value for b, we substitute any one of the 2 given points back into this equation. Lets choose (6,1)

1 = (2/3)(6) + b

1 = 4 + b

b = -3

Confirm  Y = 2/3x - 3 is the answer.

4 0
3 years ago
Find the critical value zα/2 that corresponds to a 98% confidence level.
SVETLANKA909090 [29]

A critical value is the point on the scale of the test statistic (z test in this case) outside which we reject the null hypothesis, and is taken from the level of significance of the test. The critical values can be obtained from the standard distribution tables for z and for this case, it is equivalent to:

critical value zα/2 at 98% confidence level = 2.326

Answer: 2.326

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4 0
3 years ago
PLS HELP ASAP WILL DO ANYTHING The picture below shows a right-triangle-shaped charging stand for a gaming system: Which express
Fynjy0 [20]

Answer:

AB= 8/Cosine 60 degrees

Step-by-step explanation:

Cosine=Adjacent/Hypotenuse

Cosine=8/AB

AB=8/Cosine 60 degrees

7 0
3 years ago
Can someone help me ?
prisoha [69]
I’m pretty sure there are infinite solutions as the system of equations are equivalent to each other.
7 0
3 years ago
Read 2 more answers
Please help me w the answer
evablogger [386]

Answer:

\frac{2(x-6)(x-10)}{(x-4)(x-5)}

Step-by-step explanation:

In essence, one needs to work their way backwards to solve this problem. Use the information to construct the function.

The function has verticle asymptotes at (x = 4) and (x = 5). This means that the denominator must have (x - 4) and (x - 5) in it. This is because a verticle asymptote indicates that the function cannot have a value at these points, the function jumps at these points. This is because the denominator of a fraction cannot be (0), the values (x - 4) and (x - 5) ensure this. Since if (x) equals (4) or (5) in this situation, the denominator would be (0) because of the zero product property (this states that any number times zero equals zero). So far we have assembled the function as the following:

\frac{()}{(x-4)(x-5)}

The function has x-intercepts at (6, 0), and (0, 10). This means that the numerator must equal (0) when (x) is (6) or (10). Using similar logic that was applied to find the denominator, one can conclude that the numerator must be ((x - 6)(x-10)). Now one has this much of the function assembled

\frac{(x-6)(x-10)}{(x-4)(x-5)}

Finally one has to include the y-intercept of (0, 120). Currently, the y-intercept is (60). This is found by multiplying the constants together. (6 * 10) equals (60). One has to multiply this by (2) to get (120). Therefore, one must multiply the numerator by (2) in order to make the y-intercept (120). Thus the final function is the following:

\frac{2(x-6)(x-10)}{(x-4)(x-5)}

6 0
3 years ago
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