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3 years ago

Is before 75 and after 60 a decrease in %?

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

7 0

Answer:

20%

Step-by-step explanation:

Percent decrease = [(original value - new value)/original value * 100]

Percent decrease = [(75 - 60)/75 * 100]

Percent decrease = [15/75 * 100] = 0.2*100= 20

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Show me how to solve 172 times 6

stepan [7]

I would recommend starting by turning 172 into 100+70+2. This makes it much easier to multiply it by 6.

(100+70+2) × 6 =

distributive property

(100×6) + (70×6) + (2×6) =

Simplify

600 + 420 + 12 =

Add it all together

1032

The answer would be 1032.

7 0

3 years ago

The system of equations is graphed in the figure.

Scilla [17]

Answer: The correct answer is: [C]:

___________________________________________

→ " ( 3, -2) " .

___________________________________________

Explanation:

___________________________________________

By looking at the graph {provided) of the lines of the 2 (two) equations given, we see that the two (2) lines intersect at the point at which the coordinates are: " (3, -2)" ; that is: where: " x = 3; y = - 2 " ; (refer to "image attached");

→ which corresponds to:

→ Answer choice: [C]: " (3, -2) " .

___________________________________________

Let us check our answer, by plugging in "3" for "x" ; and "-2" for "y" ;

in Each of the 2 (two) equations given; to see if the equations hold true:

_____________________________________

Equation 1:

_____________________________________

y = (-5/3)x + 3 ;

→ -2 =? (-5/3)*3 + 3 ?

→ -2 =? -5 + 3 ? ; -2 =? -2 ? Yes!

_____________________________________

Equation 2:

_____________________________________

y = (1/3)x -3 ;

→ -2 =? (1/3)*3 - 3 ? ;

→ -2 =? 1 - 3 ? ; -2 = ? -2 ? Yes!

_____________________________________

Both equations hold true when: "x = 3 ; and y = -2 " .

_____________________________________

Refer to image attached to see where the lines of the graphs of the equations given intersect.

_____________________________________

Hope this answer is helpful to you!

WIshing you the best!

_____________________________________

3 0

3 years ago

If a one-sided null hypothesis for a single mean cannot be rejected at a given significance level, then the corresponding two-si

In-s [12.5K]

Answer:

Two-sided null hypothesis (i.e., the same sample size, the same standard deviation, and the same mean) will also be rejected at the same significance level.

Step-by-step explanation:

The decision rule to reject a null hypothesis at α% level of significance is, if the p-value of the test is less than the level of significance then the null hypothesis of the test is rejected. And if p-value of the test is more than the level of significance then the null hypothesis of the test is failed to be rejected.

Now for a two-tailed test the p-value is, $2\times p-value_{(1-tail)}$ , i.e. the p-value is decreased for a two tail test.