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Ainat [17]
3 years ago
11

Is /1.33 a rational number

Mathematics
1 answer:
SpyIntel [72]3 years ago
6 0
Yes, it is a rational number.
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Write a linear function f with the values f(0)=−3 and f(7)=11.
kotegsom [21]

Answer:  f(x)= 2x -3

Step-by-step explanation:

Using the given information we can come up with two points that will be use to find the slope and y-intercept.  

If you input 0 you get -3  so the point will be (0,-3)

If you input 7  you get 11  so the point will be (7,11)

Now use the points to find the difference in their y coordinates and divide it by the difference in their x coordinates to find the slope.

y coordinates:  -3 - 11 = -14

x coordinates:  0 - 7 = -7

  -14/-7 = 2

Since the slope is two, we will use the slope intercept formula (y = mx +b) to find the b which is the y intercept.

Use one of the points and input its x and y coordinates into the formula including the slope to solve for b.

-3= 2(0) +b

-3 = 0 + b

b = -3  

f(x) is the same as y in the formula, meaning that the equation will be  

 f(x) = 2x -3

8 0
3 years ago
Find the general term for the series 2-4+6-8+.......-100
lianna [129]

Answer:

the awnser is 45

Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
What is 24% of 100 <br><br> PLEASEEEE HELP I WILL GIVE BRAINLY POINTS!!!!!!!!!!!!!!!!!
klemol [59]
24 is going to be the answer
3 0
2 years ago
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The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi
dem82 [27]

Answer:

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 16.3, \sigma = 4.2

What is the probability that a randomly selected exam will require more than 15 minutes to grade

This is 1 subtracted by the pvalue of Z when X = 15. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{15 - 16.3}{4.2}

Z = -0.31

Z = -0.31 has a pvalue of 0.3783.

1 - 0.3783 = 0.6217

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

8 0
3 years ago
To solve the system of equations by elimination, what could you multiply each equation by to cancel out the x-variable?A:6x-3y=-
Novay_Z [31]

Answer:

Step-by-step explanation:

You could multiply all of equation A by 1/6 and all of equation b by -1/4 to get

A. x-3/2y=-1/3 and B. x+1/4y=/5/4, then subtract the equations from each other to solve

8 0
3 years ago
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