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Shkiper50 [21]
3 years ago
11

What is the equation of the line that has a slope of 3 and goes through point (4, 7)?

Mathematics
1 answer:
astra-53 [7]3 years ago
3 0
<span>The slope of the line is equal to (y - 7) / (x - 4)
Then we can set up this equation:
(y - 7) / (x - 4) = 3
y - 7 = 3 * (x - 4)
y - 7 = 3x - 12
y = 3x - 5
This is the equation of the line.</span>
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Suppose that IQ scores have a bell-shaped distribution with a mean of 95 and a standard deviation of 15. Using the empirical rul
professor190 [17]

Answer:

2.5% of IQ scores are no more than 65

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 95

Standard deviation = 15

Using the empirical rule, what percentage of IQ scores are no more than 65?

65 = 95 - 2*15

So 65 is two standard deviations below the mean.

By the Empirical Rule, 95% of the measures are within 2 standard deviation of the mean. Of those 5% which are not, 2.5% are more than 2 standard deviations above the mean and 2.5% are more than 2 standard deviations below the mean.

So 2.5% of IQ scores are no more than 65

3 0
3 years ago
A line goes through the points (-1,9) and (1,1).Write the equation of this line in point slope form using one of these points.
Mashcka [7]

Answer:

y-9= -4(x+1)

Step-by-step explanation:

First, you should know what the format for point slope form is. y-y1=m(x-x1). Now, fill in the points to the x1 and y1 variables. It doesn't matter what ordered pair you use. If the number you fill in is negative, for example, -1, change it to a positive 1. If you're plugging in a positive number such as 9, it becomes -9. Now, it may look like this: y-9=m(x+1). However, you still need to find slope. You can use the expression y-y1/x-x1. 9-1=8. -1-1= -2. So, your slope is 8/-2. However, you can simplify this to -4. Now, plug in -4 to your equation to have your final answer: y-9=-4(x+1).

3 0
3 years ago
In an origami class, the instructor tells the students to cut a square that has an area of 24 square inches. Kevin cuts a square
rodikova [14]
The answer is
The side length of the square Kevin cuts is slightly less than the length the instructor required
7 0
3 years ago
A bond quoted at 93 (1/8) is equal to ___ per 1,000.00 of the face amount.
Ksju [112]
The number a bond is the percentage of the value of the bond that the bond is worth. Because the bond is quoted at 93, the bond is worth $930 per $1,000.
5 0
3 years ago
Read 2 more answers
during the 8-month shrimping season in the Gulf mexico, 325 shrimpers caught 4,913,977 pounds of shrimp and sold the shrimp $2 p
Hatshy [7]
STEP 1:
Find the $ total sold. Multiply total pounds by $2 sale price per pound.

=4,913,977 pounds * $2 a pound
=$9,827,954 total sold

STEP 2:
Divide the total sold above by the 325 shrimpers.

=$9,827,954 ÷ 325
=$30,239.858

Rounded to nearest dollar:
Each of the 325 shrimpers will take home $30,240.

Hope this helps! :)
4 0
3 years ago
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