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Olenka [21]
3 years ago
9

Write the equation in slope- intercept form of the line that has a slope of -3 and contains the point (1,1)

Mathematics
1 answer:
Tpy6a [65]3 years ago
8 0
Slope-intercept form is y = mx + b, where <em>m</em> is the slope of the line and <em>b</em> is the y-intercept.

Since we know the slope, plug it into the base equation:
y = mx + b
y = -3x + b

We don't know what <em>b</em> is, so plug the point we have into the equation:
y = -3x + b
1 = -3(1) + b
1 = -3 + b
b = 4

Now that we know <em>b</em>, input it into the partial equation:
y = -3x + b

 y = -3x + 4 is the equation of the line.
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Samuel is 4 1/6 feet tall. His dad is 5 3/4 feet tall.How much taller is Samuels dad then Samuel
Sloan [31]

Answer:

1 7/12

Step-by-step explanation:

Just subtract the fractions if you cant do it by head or paper use a calc so 5 3/4 - 4 1/6= 1 7/12 samuels dad is 1 7/12 taller than samuel.

6 0
2 years ago
of this data set 56, 57, 57, 58, 59, 60, 60, 60, 62, 64, 64, 66, 67, 67, 67, 68 what's the mean absolute deviation
seropon [69]

Answer:

3.625

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
10 x 25 2/5 equals what
kramer

Answer:

254 is your answer

7 0
3 years ago
Which of the following functions computes a value such that 2.5% of the area under the standard normal distribution lies in the
fiasKO [112]

Answer:

a) NORM.S.INV(0.975)

Step-by-step explanation:

1) Some definitions

The standard normal distribution is a particular case of the normal distribution. The parameters for this distribution are: the mean is zero and the standard deviation of one. The random variable for this distribution is called Z score or Z value.

NORM.S.INV Excel function "is used to find out or to calculate the inverse normal cumulative distribution for a given probability value"

The function returns the inverse of the standard normal cumulative distribution(a z value). Since uses the normal standard distribution by default the mean is zero and the standard deviation is one.

2) Solution for the problem

Based on this definition and analyzing the question :"Which of the following functions computes a value such that 2.5% of the area under the standard normal distribution lies in the upper tail defined by this value?".

We are looking for a Z value that accumulates 0.975 or 0.975% of the area on the left and by properties since the total area below the curve of any probability distribution is 1, then the area to the right of this value would be 0.025 or 2.5%.

So for this case the correct function to use is: NORM.S.INV(0.975)

And the result after use this function is 1.96. And we can check the answer if we look the picture attached.

6 0
3 years ago
The average of eight numbers is 56. When one of the numbers was left out, the mean decreased to 54. What number was left out?
Alexandra [31]

The number that was left out is 70.

<h3>What is the number that was left out?</h3>

Average is the sum of a set of numbers divided by the total numbers in the data set.

Average = sum of numbers / total numbers

  • Sum of numbers when there are 8 numbers = 56 x 8 = 448
  • Sum of numbers when there are 7 numbers = 54 x 7 = 378
  • Difference = 448 - 378 = 70

To learn more about average, please check: brainly.com/question/25842202

#SPJ1

4 0
1 year ago
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