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Ilya [14]
3 years ago
9

Which table represents a linear function

Mathematics
1 answer:
Masja [62]3 years ago
4 0

Answer:

First table

Step-by-step explanation:

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20k
is equal to 10 tons
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Which postulate proves the two
Vanyuwa [196]

Answer:

D. none

Step-by-step explanation:

The figure shows two triangles. We see a right angle in each triangle. All right angles are congruent. One angle of one triangle is congruent to one angle of the other triangle. We are not given any other information about congruent sides or other congruent angles. Therefore, there is not enough information to prove the triangles are congruent.

Answer: none

8 0
3 years ago
Calculate the constant of variation if y varies directly as x.
luda_lava [24]

Answer:

Option A is correct.

The constant of variation is, -\frac{3}{2}

Step-by-step explanation:

The Direct variation says that:

if a vary directly to b then, the equation is of the form: a = kb where k is the constant of variation.

Given: if y varies directly as x.

By definition of direct Variation:

y = kx  where is the constant of variation.

It is also given that: y = -3 and x =2

Solve for k;

-3 = 2k

Divide both sides by 2 we have;

k = -\frac{3}{2}

Therefore, the constant of variation is, -\frac{3}{2}


4 0
3 years ago
One year Thomas had the lowest ERA (earned-run average, mean number of runs yielded per nine inning pitched) of any male pitcher
valkas [14]

Answer:

Thomas had an ERA with a z-score of -2.82.

Karla had an ERA with a z-score of -2.81.

Thomas had the better year compared with his peers, since his ERA had the lower Zscore.

Step-by-step explanation:

Problems of normally distributed samples can be 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 ERA is the Earned Runs Average per 9 innings. This mean that the lower the ERA is, the better it is. So, between Thomas and Karla, whoever has the lower Zscore had the better season.

Thomas

For the males, the mean ERA was 4.837 and the standard deviation was 0.541. This means that \mu = 4.837, \sigma = 0.541.

Thomas ERA was 3.31. This means that X = 3.31

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

Z = \frac{3.31 - 4.837}{0.541}

Z = -2.82

Thomas had an ERA with a z-score of -2.82.

Karla

For Females, the mean ERA was 4.533 and the standard deviation was 0.539. This means that \mu = 4.533, \sigma = 0.539.

Karla ERA was 3.02. So X = 3.02.

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

Z = \frac{3.02 - 4.533}{0.539}

Z = -2.81

Karla had an ERA with a z-score of -2.81

Which player had a better year in comparison with their peers?

Thomas had the better year compared with his peers, since his ERA had the lower Zscore.

6 0
3 years ago
The amount of water in a bathtub as it drains can be modeled by this equation with y representing the number of gallons of water
algol13
y = -7.3x + 39.7
 The first thing we must do for this case is to make use of the given equation and replace the value of y:
 17.8 = -7.3x + 39.7
 Now we clear x:
 7.3x = 39.7-17.8
 x = (39.7-17.8) / (7.3)
 x = 3
 Answer:
 the tub will have 17.8 gallons of water remaining after 3 minutes
6 0
4 years ago
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