Answer:
Hank had a z-score of -1.375.
Jane had a z-score of -2.39.
Jane had the better year relative to their peers, due to her lower z-score.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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.
Hank:
ERA of 3.36. For the males, the mean ERA was 4.449 and the standard deviation was 0.792. This means that we have to find Z when [tex]X = 3.36, \mu = 4.449, \sigma = 0.792[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.36 - 4.449}{0.792}[/tex]
[tex]Z = -1.375[/tex]
Hank had a z-score of -1.375.
Jane
ERA of 3.49. For the females, the mean ERA was 5.091 and the standard deviation was 0.669. This means that we have to find Z when [tex]X = 3.49, \mu = 5.091, \sigma = 0.669[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.49 - 5.091}{0.669}[/tex]
[tex]Z = -2.39[/tex]
Jane had a z-score of -2.39.
Which player had the better year relative to their peers, Hank or Jane
Low ERA is good, high is bad. This means that whoever had the lower z-score had the better year, and in this case, it's Jane
Which is greater 3/10 or 3/100
Answer:
3/10ths is bigger
Step-by-step explanation:
72 is the result of x-20%
Help please--the way that I thought of solving this is not what the book says the answer is
Answer:
The original cost was $90.
Step-by-step explanation:
"Judy bought a coat at the office of $72, which is 20% off the original price. what was the original cost of the coat?"
Your equation contains an error that will lead to an incorrect answer.
This is the correct way to write the equation.
We don't know the original price, so we let x = the original price.
The discount was 20% off the original price, so the discount is 20% of x.
20% of x is the same as 20% * x = 0.2x. The discount is 0.2x. We now subtract the discount from the original price.
x - 0.2x
She paid the discounted price of x - 0.2x. We are told that amount is $72, so we let our expression of the discounted price equal the discounted price we are told she paid.
x - 0.2x = 72
Now we solve for x, the original price.
x - 0.2x = 72
Combine like terms on the left side.
0.8x = 72
Divide both sides by 0.8
0.8x/0.8 = 72/0.8
x = 90
Answer: The original cost was $90.
P.S.
You must be careful when writing the equation. What you wrote was
x - 20%
on the left side. Notice that 20% is simply equal to 0.2; it is not 20% of the original price. By writing
x - 20% = 72
you are in fact writing
x - 0.2 = 72
meaning that the discount was $0.20
A discount of 20% on $90 is really $18, not $0.20.
There is a big difference there.
If you have any questions, just ask in the comments.
The Science Club went on a twoday field trip. The first day the members paid $50 for transportation plus s19 per ticket to the planetarium. The second day they paid $85 for transportation plus s16 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for then members of the club. An expression that represents the total cost in dollars for two days for the n mambers Of the club is given by
Answer:
(50+19)+(85+16)
170xn
Step-by-step explanation:
A positive - negative = what?
A positive - negative = either negative or positive
Step-by-step explanation:
HOPE IT HELPS YOU
Answer:
0
Step-by-step explanation:
+1-1=0 is that the theme of qustion .
Can someone please help me with the last three?? I don’t know what I keep doing wrong.
Answer:
1. 78.22%
2. 0.342%
3. 21.77%
Step-by-step explanation:
To find the percentage, you multiply the fraction of those tested positive/negative (based on the question) out of the total by 100%.
1. [tex]\frac{970}{1240}[/tex] × 100% = 78.22% (2 d.p.)
2. [tex]\frac{30}{8760}[/tex] × 100% = 0.342% (3 d.p.)
3. [tex]\frac{270}{1240}[/tex] × 100% = 21.77% (2 d.p.)
SOMEONE PLS HELP ME
Answer:
4
Step-by-step explanation:
hope this helps
Answer:
The slope is 2
Step-by-step explanation:
its 6/3 and if you simplify that its 2
will give brainliest IF CORRECT
What is the name of the angle
relationship?
vertical angles
supplementary angles
complementary angles
Answer:
They are supplementary angles.
Hope it will help :)
3.5-5.5n-4n+8 help please
Help pls asap I really need help this is confusing
James had 42 dollars. He bought his sister a gift that cost x dollars. Write an expression representing how much money James has now.
Answer:
42 dollars -x......................
Interest of 1 million dollars 23% and 6 years please solve and will give brainliest to correct answer
Answer:
$2,462,825.99 is the interest accrued
Step-by-step explanation:
hope this helps
find the 8th term of the geometric sequence 3,9,27
Answer:
6,561
Step-by-step explanation:
multiply 3 by the last number, like 3*3 is 9 then 9*3 is 27*3 is 81 then 81*3 243 and so until it reaches 8 time
Can someone help me?
Answer:
Step-by-step explanation:
5y-7=5d+3y
we will subtract 3y from both sides
5y-3y-7=5d
we will add 7 on both sides
2y=5d+7
we divide by 2
y=(5d+7)/2
or
y=5d/2+7/2
PLEASE ANSWER!! will mark brainliest
Answer:
it's the second one
Step-by-step explanation:
a^7/a^13
=1/a^6
=1/(a^2)^3
= 1/ 3√(a^2)^3
=1/(a^2)
(c^3)^3
=3√(c^3)^3
=(c^3)
hence as these results matches so I think option b is correct.
expression equivalent to 3(7x + 9)
Answer:
21x + 27
Step-by-step explanation:
3(7x + 9)
21x+27is your answer
which algebraic expression represents "the difference of fofty-four and seven times a number
Answer:
44-7x
Step-by-step explanation:
Can someone please help me
Answer:
the answer is d
Step-by-step explanation:
Answer:
It's either A or D but I don't know because I don't know where the 1 starts.
Step-by-step explanation:
Find the distance between A and B.
A 12 units
B.V106 units
C.9 units
D. 2/12 units
Answer:
B. [tex] \sqrt{106} [/tex]
Step-by-step explanation:
Distance between A(-4, 3) and B(5, -2) using distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] (-4, 3) = (x_1, y_1) [/tex]
[tex] (5, -2) = (x_2, y_2) [/tex]
Plug in the values into the formula
[tex] d = \sqrt{(5 -(-4))^2 + (-2 - 3)^2} [/tex]
[tex] d = \sqrt{(9)^2 + (-5)^2} [/tex]
[tex] d = \sqrt{81 + 25} [/tex]
[tex] d = \sqrt{106} [/tex]
find the Sum and the product
of the root of the Equadration
1/3and 2/3
Answer:
sorry do not know
Step-by-step explanation:
.
Answer:
9x² - 9x +2
Step-by-step explanation:
general formula =x²-(sum of roots)x+(product of roots)
what is the area of 5m, 17m, 8m, and 5m, the shape is a kite
Answer:
It can't be a kite. A kite has 2 pairs of equal sides.
Step-by-step explanation:
you are working to save money for a trip you need to save 1500 you already saved $250 saved, and make $10 an hour at your job whites and solve an equation to represent how many hours, h, you need to work to make the rest of the money
Answer:
125 hrs
Step-by-step explanation:
1500-250=10h
simplify
1250=10h
divide both sides by 10
h=125
125 hrs
Salut, am si eu o intrebare, care ma cam "bate" pot spune, deoarece imi da rezultate multiple, iar intrebarea este urmatoarea:
Cati bani poti face timp de 6 luni punand cate 5lei/zi? Dar timp de 7luni, a cate 5lei/zi??
Va rog, ajutati-ma cat puteti de repede.
Seara faina!
Dau coroana, daca pot!
Answer:
sorry
Step-by-step explanation:
Please answer :)
( Will give brainlst)
Answer: 10
Step-by-step explanation:
Step-by-step explanation:
all the processes are shown in the picture hope that helps
Solve the inequality 5 - 4x > -x+8
The answer is,
[tex]x < - 1[/tex]
2. A 30-foot tree broke from its base and fell against a house. If the tree touches the house at a height of 21
feet, how far is the base of the tree from the house? Leave your answer in the simplest radical form.
A. 51 square root 3
B. 9 square root 17
C. 3 square root 51
D. 21.42
Answer:
C
Step-by-step explanation:
An observer (O) spots a bird flying at a 42° angle from a line drawn horizontal to its nest. If the distance from the observer (O) to the bird (B) is 17,000 ft., how far is the bird (B) from its nest (N)? Round to the nearest whole number. (4 points)
A right triangle B N O is shown with angle B marked 42 degrees, side B N marked x and side B O marked 17000 feet.
a
11,375 feet
b
12,633 feet
c
14,862 feet
d
15,307 feet
Answer:
12,633 feet
Step-by-step explanation:
The horizontal distance between the observer and the bird's nest is
b. 12,633 feet
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, An observer (O) spots a bird flying at a 42° angle from a line drawn horizontally to its nest.
The hypotenuse distance which is from the observer's eye to the bird's nest is 17000ft and we need the horizontal distance or the distance of the adjacent.
∴ , cos = adjecen/hypotenuse.
cos42° = adjacent/17000.
adjacent = 17000×cos42°.
adjacent = 17000×0.743.
adjacent = 12631 feet.
learn more about trig ratios here :
https://brainly.com/question/14977354
#SPJ2
Please help. I hope u r all safe. Please help thanks so much.
Answer:
189.3 cm^2
Step-by-step explanation:
split into a rectangle and a semi-circle
rectangle=LxW=10x15=150 cm^2
radius (r)=1/2 diameter=5 cm
semi-circle=1/2(pi)r^2=1/2(3.14)(5^2)=39.25 cm^2
150+39.25=189.25 cm^2
if a trader make a loss of 10% when he sells a watch for 15,300
a what is the cost price
b how much would he gain if he made a profit of 6%
Answer:
A. original price: 16830
B. Profit gain: 918
10%=1530
6%=918
#gamer
If it takes 1/2 hour to walk 2/7 of a field, how long will it take to walk the whole field
Answer:
1 hr 45 min
Step-by-step explanation:
so to get one from 2/7 me multiply by 7/2
so if we also multiply the time by 7/2
we get 1/2*7/2=7/4 hour
1 and 3/4 hour or
1 hr 45 min
Answer:
1hour 45 minutes
Step-by-step explanation:
2\7= 30min
7\7=7\7×30÷2\7=7\7×30×7\2=105mins
1h=60min
=105min
105÷60=1 1\4 hour
Ann's grade is the average of four scores: three chapter tests and a final
that counts as two chapter tests. She scored 72, 90, and 75 on the chapter
tests. What score does she need on the final to have a grade of at least 80?
Answer:
f = 81.5
Step-by-step explanation:
hello!
to be able to find the score she needs to have a final grade of at least 80, we use the following equation:
[tex]\frac{72+90+75+2f}{5}=80[/tex]
To get rid of the denominator, we multiply both sides of the equation by 5. Once we do, 5 gets canceled and 80 * 5 = 400. Therefore:
237 + 2f = 400.
Transpose, then simplify.
2f = 400 - 237
2f = 163
Divide both sides by 2 to isolate f:
f = 81.5
