THis Is WaLtEr AnD i GiVe YoU 20 pOiNtS mErRy ChRiStMaS!!

One year Ron had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched)

Arada [10]

Answer:

Ron's ERA has a z-score of -2.03.

Karla's ERA has a z-score of -1.86.

Due to the lower z-score, Ron had a better yean than Karla relative to their peers.

Step-by-step explanation:

Z-score:

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 question:

Since the lower the ERA, the better the pitcher, whoever's ERA has the lower z-score had the better year relative to their peers.

Ron

ERA of 3.06, so $X = 3.06$

For the males, the mean ERA was 5.086 and the standard deviation was 0.998. This means that $\mu = 5.086, \sigma = 0.998$

So

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

$Z = \frac{3.06 - 5.086}{0.998}$

$Z = -2.03$

Ron's ERA has a z-score of -2.03.

Karla

ERA of 3.28, so $X = 3.28$

For the females, the mean ERA was 4.316 and the standard deviation was 0.558. This means that $\mu = 4.316, \sigma = 0.558$

So

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

$Z = \frac{3.28 - 4.316}{0.558}$

$Z = -1.86$

Karla's ERA has a z-score of -1.86.

Which player had the better year relative to their peers, Ron or Karla?

Due to the lower z-score, Ron had a better yean than Karla relative to their peers.

5 0

3 years ago

How are natural numbers, whole numbers and integers used in everyday life?

Nezavi [6.7K]

Natural numbers: Counting things! You look around your room and see an electronic device, then another, then another! You just counted to 3 using the natural numbers.

Whole numbers! You try to look for electronic devices and realise that they’re all gone. You have zero electronic devices, and you just used whole numbers.

You go online to find where your electronic devices went, and realise they were taken because you’re in debt to the bank so they took some of your stuff. You’re in negative numbers, and now you’ve used integers.

4 0

3 years ago

What does the off center rectangle mean in the picture?

Alla [95]

2/5+4/7=2
14/35+20/35=2
34/35=2
FALSE
so the rectangle must be a placeholder that is added
so 34/35+x=2
x=1 1/35 or 36/35

5 0

3 years ago

Which of the following graphs of exponential functions corresponds to a geometric sequence with a first term of 4 and a ratio of

ser-zykov [4K]

Answer: graph E.

A geometric sequence can be written as:

$a_{n} = a_{1} \cdot r^{(n - 1)}$

where:

a₁ = first term = 4

r = ratio = 0.5

Substituting the numbers, we have:

$a_{n} = 4 \cdot (\frac{1}{2})^{n-1}$

or else

$f(x) = 4 \cdot (\frac{1}{2})^{x - 1}$

This is an exponential function with base less than 1. Therefore, we can exclude graph C (which depicts a linear function), and graphs A and D (which depict an exponential function with base greater than 1).

In order to choose between graph B and E, let's evaluate the function in two different points:

$f(1) = 4 \cdot (\frac{1}{2})^{1 - 1} = 4$

$f(2) = 4 \cdot (\frac{1}{2})^{2 - 1} = 4 \cdot \frac{1}{2} = 2$

Therefore, we need to look for the graph passing through the points (1, 4) and (2, 2). That is graph E.

3 0

3 years ago

Read 2 more answers

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Tasya [4]

The coordinates of point F are (15/4 , -5/2)

The coordinates of point G = (-3/4 , -3)

<h3>What is the coordinates about?</h3>

From the image attached:

AB divided into 4 similar parts, hence

E is the mid-point of AB
D is the mid-point of AE
F is the mid-point of EB

Note that the rule of the mid-point states that:

When M (x , y) is the mid-point of the segment of AB, where A (x1 , y1) and B (x2 , y2), Then x = (x1 + x2)/2 and that of y = (y1 + y2)/2

Then lets solve for points E, F, D

Since A (-3 , -1) and B (6 , -3),

E is the mid-point of AB

Then E =[(-3 + 6)/2, (-1 + -3)/2]

= (3/2 , -2)

Since F is the mid-point of EB,

E (3/2 , -2) , B (6 , -3)

Then F = [(3/2 + 6)/2 , (-2 + -3)/2]

= (15/4 , -5/2)

Since D is the mid-point of AE, A (-3 , -1), E (3/2 , -2)

Then D = [(-3 + 3/2)/2 , (-1 + -2)/2]

= (-3/4 , -3/2)

Note also that:

BC is said to be an horizontal segment due to the fact that B and C have similar y - coordinate and G can be found on BC.

Since the y-coordinate of G is similar to y-coordinate of B and C

Then y-coordinate of G is = -3

Since DG ⊥ BC

Then DG = vertical segment

So G has similar x-coordinate of D

Then The x-coordinate of G = -3/4

The G = (-3/4 , -3)

Learn more about coordinate from

brainly.com/question/12481034

#SPJ1

6 0

1 year ago