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3 years ago

Evaluate the expression when b=5 and c=7

Mathematics

1 answer:

Sloan [31]3 years ago

8 0

Answer:

7×7-5/7+3(5)

49-5/7+15

44/22

so c squared - b

over c+3b is =2

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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

A soccer player practices kicking the ball into the goal from halfway down the soccer field. The time it takes for the ball to g

lyudmila [28]

To find a constant velocity, we divide the distance by the time

We have:
Distance = 45 meters ⇒ The ball is kicked half way down the soccer field, so the distance that the ball traveled is 90 ÷ 2 = 45 meters
Time = 3 seconds

We have enough information to work out the velocity

v = s ÷ t
v = 45 ÷ 3
v = 15 m/s

5 0

3 years ago

Read 2 more answers

Find two consecutive integers whose product is 50

GarryVolchara [31]

n, n+1 - two consecutive integers

n(n + 1) = 50 <em>use distributive property</em>

n² + n = 50 <em>subtract 50 from both sides</em>

n² + n - 50 = 0

-----------------------------------------------------

ax² + bx + c =0

if b² - 4ac > 0 then we have two solutions:

[-b - √(b² - 4ac)]/2a and [-b - √(b² + 4ac)]/2a

if b² - 4ac = 0 then we have one solution -b/2a

if b² - 4ac < 0 then no real solution

----------------------------------------------------------

n² + n - 50 = 0

a = 1, b = 1, c = -50

b² - 4ac = 1² - 4(1)(-50) = 1 + 200 = 201 > 0 → two solutions

√(b² - 4ac) = √(201) - it's the irrational number

Answer: There are no two consecutive integers whose product is 50.

3 0

4 years ago

Please help ASAP! It’s due in 20 min and I have complete it! I just need the statements and reasons! Thank you

azamat

Answer:

1) <11 and <14 are Same-Side Exterior Angles causing them to be supplementary.

2. <8 and <9 are Same-Side Interior Angles causing them to be supplementary.

Step-by-step explanation:

See answer above.

8 0

3 years ago

Write a story that includes both integers -10 and 12.

Semmy [17]

Answer:

In Alaska, it was -10 degrees in the morning and rose by 12 degrees.

Step-by-step explanation:

5 0

4 years ago