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svp [43]
3 years ago
14

Determine the slope of the line that passes through the points:

Mathematics
1 answer:
miskamm [114]3 years ago
4 0

Answer:

The slope of the line is 4.

Step-by-step explanation:

Recall that slope = rise over run:  rise / run.

From the table we see that if x changes from 0 to 4, a run of 4, y changes from -1 to 15, a rise of 16, the slope of this line must be

m = rise / run = 16/4 = 4

The slope of the line is 4.

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Work backwards to solve
leva [86]

Answer: $14.93

Step-by-step explanation:

First, lets remove the shipping price: 51.65 - 3.50 = 48.15

Next, lets find the sales tax of the shirts: 48.15 x 0.07 = 3.37

Then, subtract that from the shirt price: 48.15 - 3.37 = 44.78

Finally, divide 44.78 by 3: 44.78 / 3 = 14.93!

8 0
3 years ago
How many two-digit positive integers can be formed the digits 1,5,6, and 8 if no digit is repeated?
IgorLugansk [536]

Answer:

12

Step-by-step explanation:

There are 4 different digits to choose from. Since we want 2-digit number, we will see what digits can we put in place of 1st digit and what digit can we place in place of 2nd digit.

Hence, <u><em>how many digits (from 1,5,6 and 8) can be placed in the 1st digit of the number we want?</em></u>

Any one of the four digits (1,5,6, or 8).

Now, <em><u>How many digits (from 1,5,6 and 8) can be placed as the 2nd digit of the number we want?</u></em>

Any one of the THREE digits (since repetition is not allowed, we disregard the initial digit).

Thus the number of two-digit positive integers is 4 * 3 = 12

5 0
2 years ago
In this exercise, we are conducting many hypothesis tests to test a claim. Assume that the null hypothesis is true. If 400 tests
Brums [2.3K]

Answer:

Since the null hypothesis is true, finding the significance is a type I error.

The probability of the year I error = level of significance = 0.05.

so, the number of tests that will be incorrectly found significant is computed as follow: 0.05 * 100 = 5

Therefore, 5 tests will be incorrectly found significant given that the null hypothesis is true.

3 0
3 years ago
In triangle DEF. DF = 16 and m&lt;F = 45Find the length of a leg. Leave your answer in simplest radical form.
kotegsom [21]
I'm ASSUMING this is a 45-45-90 right triangle and that DF is the hypotenuse.
With that said. Angle F = 45 means that angle  = 45 and angle E = 90 degrees.
There is only one rule for 45-45-90 right triangles:
 hypotenuse = √(2) * leg
Given the hyp = 16
16 = √(2) * leg
divide both sides by √(2)
16/√(2) = leg
Rationalize the denominator
16√(2)/(√(2)*√(2) =
(16√(2)) / 2 =
8√2
6 0
3 years ago
What is the surface area of the figure?
Oliga [24]

Answer:

The total surface area = 582 ft²

Step-by-step explanation:

To find the surface area of it count the number of faces at first

The figure has 8 faces each 2 are equal

1- Two faces with dimensions 4 ft and 15 ft ( base and shaded face)

2- Two faces with dimensions 9 ft and 4 ft

3- Two faces with dimensions 4 ft and 6 ft

4- Two faces with dimensions 15 ft , 9 ft and 6 ft

Area of (1-) = 2(4 × 15) = 120 ft²

Area of (2-) = 2(4 × 9) = 72 ft²

Area of (3-) = 2(4 × 6) = 48 ft²

Area of (4-) = 2[(9 × 9) + (6 × 15)] = 2[81 + 90] = 2 × 171 = 342 ft²

∴ The total surface area = 120 + 72 + 48 + 342 = 582 ft²

5 0
3 years ago
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