Answer:
1
Step-by-step explanation:
One year, the distribution of salaries for professional sports players had mean $1.6 million and standard deviation $0.8 million. Suppose a sample of 400 major league players was taken. Find the approximate probability that the average salary of the 400 players that year exceeded $1.1 million.
z = (x-μ)/σ/√n
where
x is the raw score
μ is the population mean
σ is the population standard deviation
n = random number of samples
Mean $1.6 million and Standard deviation $0.8 million.
z = (1100000- 1600000)/800000/√400
z = -500000/800000/20
z = -500000/40000
z = -12.5
Probability value from z score table is :
P(x ≤ Z) = P(x = 1100000) = P(z = 12.5)
= 0
P(x>Z) = 1 - P(x < Z)
= 1 - 0
= 1
The approximate probability that the average salary of the 400 players that year exceeded $1.1 million is 1
please view the img above for the question ^^
Answer:
2
Step-by-step explanation:
because resetting the graph means it has to be a reflection
please need help on this question thanks. see the screenshot
Check the picture below.
F = sales for Friday
we know that the total of weekend sales for Germany was F + 317 + 405.
we also know that 405 is really 37.19% of that amount, say "x", which is the 100%, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 405&37.19\\ x&100 \end{array}\implies \cfrac{405}{x}=\cfrac{37.19}{100}\implies 40500=37.19x \\\\\\ \cfrac{40500}{37.19}=x\implies 1089~\approx ~ x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{friday}{F} + \stackrel{sat/sun}{317} + \stackrel{monday}{405} \approx 1089\implies F +722 \approx 1089\implies \boxed{F\approx 367}[/tex]
Which is the graph of the linear inequality Ex-2y> -6?
10
Answer:
y<3 is a horizontal line, not included, but all the points below it
Step-by-step explanation:
[tex] - 2y > - 6[/tex]
[tex]y < 3[/tex]
Radium-221 has a half-life of s. How long will it take for of a sample to decay?
Answer:
The answer is 82.109 sec.
Step-by-step explanation:
Help me out cause this very difficult for me
9514 1404 393
Answer:
a) 37
b) n+d
Step-by-step explanation:
This is a reading comprehension problem. You are asked to understand what you are reading, and to think about what question is being asked.
Given:
a) someone bought 20 notebook computers and 17 desktop computers
b) someone bought n notebook computers and d desktop computers
Find:
a) the total number of computers bought
b) the total number of computers bought
Solution:
a) The total number bought is found by adding together the numbers of each kind:
20 +17 = 37 . . . total computers
__
b) The total number bought is found by adding together the numbers of each kind:
n + d . . . total computers
(1/2)power 5=?? please help with this one
Answer:
2.2360679774998
Step-by-step explanation:
Assume that the finishing times in a New York City 10-kilometer road race are normally distributed with a mean of 55 minutes and a standard deviation of 10 minutes. Let X be a randomly selected finishing time.
a. What percent of finish times was higher than 72 minutes? (Give your answers rounded to two decimal places)
b. What percent of finish times was between 52 and 70 minutes? (Give your answers rounded to two decimal places)
c. What is the 40th percentile finish time? (Round your answer to nearest tenth)
d. What is the 95th percentile finish time? (Round your answer to nearest tenth)
Using the normal distribution, it is found that:
a) 4.46% of finish times was higher than 72 minutes.
b) 55.11% of finish times was between 52 and 70 minutes.
c) The 40th percentile of finish times is 52.5 minutes.
d) The 95th percentile of finish times is 71.45 minutes.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.In this problem:
The mean is of 55 minutes, hence [tex]\mu = 55[/tex].The standard deviation is of 10 minutes, hence [tex]\sigma = 10[/tex]Item a:
The proportion is 1 subtracted by the p-value of Z when X = 72, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{72 - 55}{10}[/tex]
[tex]Z = 1.7[/tex]
[tex]Z = 1.7[/tex] has a p-value of 0.9554
1 - 0.9554 = 0.0446
0.0446 x 100% = 4.46%
4.46% of finish times was higher than 72 minutes.
Item b:
Th proportion is the p-value of Z when X = 70 subtracted by the p-value of Z when X = 52, hence:
X = 70:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{70 - 55}{10}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a p-value of 0.9332.
X = 52:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{52 - 55}{10}[/tex]
[tex]Z = -0.3[/tex]
[tex]Z = -0.3[/tex] has a p-value of 0.3821.
0.9332 - 0.3821 = 0.5511
0.5511 x 100% = 55.11%
55.11% of finish times was between 52 and 70 minutes.
Item c:
The 40th percentile is X when Z has a p-value of 0.4, so X when Z = -0.253.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.253 = \frac{X - 55}{10}[/tex]
[tex]X - 55 = -0.253(10)[/tex]
[tex]X = 52.5[/tex]
The 40th percentile of finish times is 52.5 minutes.
Item d:
The 95th percentile is X when Z has a p-value of 0.95, so X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 55}{10}[/tex]
[tex]X - 55 = 1.645(10)[/tex]
[tex]X = 71.45[/tex]
The 95th percentile of finish times is 71.45 minutes.
A similar problem is given at https://brainly.com/question/24663213
A jet is flying in a direction N 70° E with a speed of 600 mi/h. Find the north and east components of the velocity. Round to two decimal places.
Using vector concepts, it is found that the components of the velocity are given as follows:
North: 205.21 mi/h.East: 563.82 mi/h.How can a vector be represented in i and j notation?Given a magnitude M and angle [tex]\theta[/tex], the a vector V can be represented as follows:
[tex]V = M\sin{\theta}i + M\cos{\theta}j[/tex]
In which:
i is the horizontal(east/west) component.j is the vertical(north/south) component.In this problem, we have that the magnitude and the angle are given as follows:
[tex]M = 600, \theta = 70^{\circ}[/tex]
Hence the north component is:
[tex]600\cos{70^{\circ}} = 205.21[/tex]
And the east component is:
[tex]600\sin{70^{\circ}} = 563.82[/tex]
More can be learned about vectors at brainly.com/question/24606590
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Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=21(0.97)^x
what is the % increase
Answer:
Step-by-step explanation:
As the number under the exponent is less than 1, this is a decay function.
y decreases by (1 - 0.97)100 = 3% for each unit increase in x
so the increase would be -3%
1/2x - 2=3 number line
Answer:
x = 10
Step-by-step explanation:
I don't really get what you mean, so I just solved for x.
1/2x-2=3
We add 2 on both sides.
1/2x=5
Times both sides by 2 to cancel out the 1/2
x=10.
Hope this helped. :)
(sorry if I didn't do what you wanted me to.)
(PHOTO) Please help me need this done by tomorrow thank you.
Answer:
x = 13
Step-by-step explanation:
Corresponding angles equal one another.
[tex]8x-20=4x+32\\4x-20=32\\4x=52\\x=13[/tex]
solve pls brainliest
Answer:
for the first one it 2
3
12
What's
9/10 + (-3) in simplest form
Reduce the expression, if possible, by cancelling the common factors.
Exact Form: [tex] \:- \frac{3}{10} \\ [/tex]
Decimal form[tex] \: \:- 0.3[/tex]
Which expression is equivalent to 8^4 (8 to the 4th power)
Answer:
Step-by-step explanation:
8^4 is the same as 8·8·8·8
The exponent 4 means that 8 will be multiply by itself four time.
Answer:
4096
Step-by-step explanation:
hope this helps=)
Plz help!!!!! Need theses as soon as possible. No links plz!!!!
Answer:
1. 3
2. 0, 620
3. Positive
4. 2006
5. 2637
What is one website you can visit in order to request free credit report from any of the three bureaus?
Answer: annualcreditreport.com
Step-by-step explanation: The only authorized website for free credit reports, or call 1-877-322-8228
A committee is formed consisting of one representative from each of the 4 departments (CS-IS-IT-SW) in the computer science college, where the representative from a department is either the president or one of the two representatives from that department. How many ways are there to form this committee?
Step-by-step explanation:
each department has 3 options for their representative.
and each of these options can be associated with the 3 options of the next department. and so on.
so, we have
3×3×3×3 = 3⁴ = 81
possibilities to firm that committee overall.
Suppose that the universal set U is the set of all even integers from 1 to 16 inclusively and A={2,4,8,16}. Find Ac by using a Venn diagram.
Answer:
Correct answer is {6,10,12,14}
Step-by-step explanation:
Suppose Martina places $9000 in an account that pays 18% interest compounded each year.
Assume that no withdrawals are made from the account.
Find the amount in the account at the end of 1 year and 2 years.
Answer: 1232
Step by Step: I just answered this
Solve each proportion 3 = 72 – 7
1. 3/7 = 72/x
By cross multiplication we get :
➟ 3x = 72 × 7
➟ x = 72 × 7/3
➟ x = 24 × 7
➟ x = 168
2. m/8 = 8/20
By cross multiplication we get :
➟ 20m = 8 × 8
➟ 20m = 64
➟ m = 64/20
➟ m = 16/5
Help help hep helphelp help
Answer:
32 qt = 8 gal
Step-by-step explanation:
1 qt x 32 = 1/4 gal x 32
32 qt = 32/4 gal
32 qt = 8 gal
A grocery store clerk can scan 1 product every 1/2 of a second. At what rate can she scan products?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
In how many ways can a student answer the questions on the test if the student can leave answers blank
A desk is 39 inches wide. What is the width in yards
Answer:
1.0833 yd
Step-by-step explanation:
Inches Yards
37" 1.0278 yd
38" 1.0556 yd
39" 1.0833 yd
40" 1.1111 yd
Have a great day! :D
If Brianna spent $65 on necklaces and bracelets at a crafts fair.
She spent $23 on bracelets and the rest on necklaces.
If the necklaces all cost the same and Brianna bought 3, how much did each necklace cost?
e^(i.π)+2^(-2+3-1)+21899921030
Answer:
21899921030
Step-by-step explanation:
e^(i.π) = -1
2^(-2+3-1) = 2^0 = 1
Therefor
-1 + 1 + 21899921030 = 21899921030
Consider 2 1/2 divided by 1/4 write a real world problem for the division.Create a model or write an equation for the division.Find the quotient for the real world problem.Find the quotient.
Answer:
Step-by-step explanation:
How many 1/4 kg bread loaves can be made from 2½ kg of dough?
2½ / 1/4 = (5/2)•(4/1) = 20 / 2 = 10
The number of puffs made by 2½ kg of dough will be 10.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
The problem is given below:-
How many 1/4 kg puffs can be made from 2½ kg of dough?
The number of the puffs will be calculated as:-
2½ / 1/4 = (5/2) x (4/1) = 20 / 2 = 10
Therefore, the number of puffs made by 2½ kg of dough will be 10.
To know more about an expression follow
https://brainly.com/question/21446512
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select all expressions that are not equivalent to 12(12r + 12) - 6(2r - 3r + 8)
Can someone please answer this? No links, stealing the points, or deleting your answer, please! I am sick of those kinda people. Really would appreciate it if someone answered because I need a good grade!
Check the picture below.
15% of the town's population is over the age of 65. If there are 450 residents over the age of 65, what is the
town's total population?
Answer:
3000 residentsStep-by-step explanation:
Given:
15% of population = 450100% of population = xCross-multiply and solve for x:
x = 100*450/15 = 3000