Answer:
p=1
Step-by-step explanation:
Rearrange terms
Combine multiplied terms into a single fraction
Subtract 2/5 from both sides of the equation
Simplify
Multiply all terms by the same value to eliminate fraction denominators
sorry if its wrong
What’s twenty-six and thirty-four hundredths in standard form?
Answer:
that would be 2.64
Step-by-step explanation:
According to a Human Resources report, a worker in the industrial countries spends on average 419 minutes a day on the job. Suppose the standard deviation of time spent on the job is 30 minutes.
a. If the distribution of time spent on the job is approximately bell shaped, between what two times would 68% of the figures be?
enter the lower limit for the interval where 68% of the values would fall
to enter the upper limit for the interval where 68% of the values would fall
b. If the distribution of time spent on the job is approximately bell shaped, between what two times would 95% of the figures be?
enter the lower limit for the interval where 95% of the values would fall
to enter the upper limit for the interval where 95% of the values would fall
c. If the distribution of time spent on the job is approximately bell shaped, between what two times would 99.7% of the figures be?
enter the lower limit for the interval where 99.7% of the values would fall
to enter the upper limit for the interval where 99.7% of the values would fall
d. If the shape of the distribution of times is unknown, approximately what percentage of the times would be between 360 and 478 minutes?
At least enter percentages rounded to 1 decimal place
% (Round the intermediate values to 3 decimal places. Round your answer to 1 decimal place.)
e. Suppose a worker spent 400 minutes on the job. What would that worker’s z score be, and what would it tell the researcher?
z score = enter the z score rounded to 3 decimal places
(Round your answer to 3 decimal places.)
This worker is in the lower half of workers but within select the distance from the mean
standard deviation of the mean.
Step-by-step explanation:
Ah statistics
68-95-99.7
a. 68% is between -1 and 1 standard deviation, which is between 389 and 449 minutes
b. 95% is between -2 and 2 standard deviations, which is between 359 and 479 minutes
c. 99.7% is between -3 and 3 standard deviations, which is between 329 and 509 minutes
d. Use table A with a z-score of (360-419)/30 = -1.96666667
and with a z-score of (478-419)/30 = 1.96666667
NOTE THESE ARE NOT THE ANSWERS, but use the z-scores to find the percentage on table A
e. (400-419)/30 = -0.633333333 as his z-score
now find that value on table A
We are given the mean and the standard deviation. If the distribution is normal(bell-shaped), the Empirical Rule is used, otherwise, if the distribution is unknown, Chebyshev's Theorem is used.
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question:
Mean of 419, standard deviation of 30.
Question a:
Within 1 standard deviation of the mean, so:
419 - 30 = 389.
419 + 30 = 449.
Between 389 and 449 minutes.
Question b:
Within 2 standard deviations of the mean, so:
419 - 60 = 359
419 + 60 = 479
Between 359 and 479 minutes.
Question c:
Within 3 standard deviations of the mean, so:
419 - 90 = 329
419 + 90 = 509
Between 329 and 509 minutes.
Question d:
Have to find how many standard deviations it is from the mean:
(478 - 419)/30 = 1.97
(360 - 419)/30 = -1.97
Considering [tex]k = 1.97[/tex]
[tex]100(1 - \frac{1}{1.97^{2}}) = 74.2[/tex]
At least 74.2% of the times would be between 360 and 478 minutes.
Question e:
The z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
In which X is the measure, [tex]\mu[/tex] is the mean and [tex]\sigma[/tex] is the standard deviation.
For this question, X = 400, [tex]\mu = 419, \sigma = 30[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{400 - 419}{30}[/tex]
[tex]Z = -0.633[/tex]
This worker is in the lower half of workers but within 0.633 standard deviations of the mean.
For more on the Empirical Rule, you can check https://brainly.com/question/24244232
For more on the Chebyshev Theorem, you can check https://brainly.com/question/23612895
For more on z-scores, you can check https://brainly.com/question/16645591
16. Solve the linear equation.
12x– 2 = 2x + 18
Answer:
x=2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x=2
Step-by-step explanation:
Use order of operations and isolate the variable.
Hope this helps! (sorry I'm really bad at explaining things).
Please help me with this question
Answer:
Step-by-step explanation:
a1 = 3;
a2 = 2(a1 - 2 ) = 2(3-2) = 2
a2 = 2
a3 = 2(a2-2) = 2(2-2) = 0
a3=0
a4 = 2(a3-2) = 2(0-2) = -4
a4 = -4
a5 = 2(a4 - 2) = 2(-4-2) = -12
a5 = -12
1.- OBTENER LA ECUACION DE LA CIRCUNFERENCIA, QUE PASA POR EL PUNTO,
P (0,-2) , DE RADIO R= 4 cm , Y CUYO CENTRO, SE ENCUENTRA SOBRE
LA RECTA x - y = 6 . GRAFICAR.
Answer:
i dont speak that language l m a o
Step-by-step explanation:
WRITE AN EXPRESSION FOR 3 MORE THAN X
Answer:
x+3
Step-by-step explanation:
If it says "more" than its probably talking about addition
Answer:
X+3 :)
Step-by-step explanation:
what is the distance between the points at (8,4) and (5,1)?
[tex] \large{ \text{Hii,Hope \: you \: are \: fine!}}[/tex]
This is a question from coordinate geometry. This is a very simple question. You can solve it by using distance formula.
First we have to assume the coordinates as following:-
Let the coordinates of A be (8,4) and coordinates of B be (5,1).
Further we have to assume:-
[tex] \mapsto\sf{X_1=8}[/tex]
[tex]\mapsto \sf{Y_1=4}[/tex]
[tex]\mapsto \sf{X_2=5}[/tex]
[tex]\mapsto \sf{Y_2=1}[/tex]
Here we have distance formula:-
[tex] \sf{Distance \: of \: AB= \sqrt{({X_2-X_1) }^{2} + {( Y_2-Y_1) }^{2} } }[/tex]
[tex] \sf{Distance \: of \: AB= \sqrt{({5 - 8) }^{2} + {( 4 - 1) }^{2} } }[/tex]
[tex] \sf{Distance \: of \: AB= \sqrt{({ - 3) }^{2} + {( 3) }^{2} } }[/tex]
[tex] \sf{Distance \: of \: AB= \sqrt{9+ 9 } }[/tex]
[tex] \sf{Distance \: of \: AB= \sqrt{18} }[/tex]
[tex] \sf{Distance \: of \: AB= 3 \sqrt{2} cm }[/tex]
This is your final answer.
KINDLY VISIT WEB TO UNDERSTAND MORE CLEARLY.
The average of the first five multiple of 7 is
a. 7
b. 14
c. 21
d. 28
n innings In the tenth innings he sco
Answer:
b. 21
Step-by-step explanation:
The first five mutiples of 7 are: 7, 14, 21, 28, 35. You can get these by multiplying 7 to any integer.
7x1 = 77x2 = 147x3 = 217x4 = 287x5 = 35In order to get the average of these numbers, you have to add them and divide the sum to the total number of multiples.
Let's add first.
7+14+21+28+35 = 105
Let's divided 105 by 5, which is the number of the multiples of 7.
105÷5 = 21
The answer is 21.
Solve the system using elimination. 4x+8y=48 4x-8y=-32
Answer:
y=6
Step-by-step explanation:
How do you work out the size of angle x ?
Answer:
121°
Step-by-step explanation:
360-304=56
180-115=65
56+65=121
180-121=59
180-59=121°
the price of a stock in a computer company is 25% greater than the cost of stock in a bank, b. write an expression for the sum of the prices of the stocks in the computer company in the bank in terms of b
Answer:
1.25b
Step-by-step explanation:
Let the cost of stock in a bank, b.
Now, since the price of a stock in a computer company is 25% greater than the cost of stock in a bank, it means;
the cost of stock in the computer company = b + 25%b = 1.25b
Thus,total cost of stock in both bank and computer company is;
Sum = 1.25b
Are the triangle similar
Answer:AAS
Step-by-step explanation:
What is 52.35 − 1.58 =
Answer: 52.35 − 1.58 = 50.77
Step-by-step explanation:
Evaluate
∫
π
−
π
cos
2
(
5
x
)
d
x
.
Answer:
[tex] _{ - \pi} \int ^{\pi} \cos(2(5x) dx = _{ - \pi} \int ^{\pi} \cos(10x) dx \\ let \: 10x \: be \: u \\ \frac{d(10x)}{dx} = du \\ dx = \frac{du}{10} \\ignore \: limits \\ _{ - \pi} \int ^{\pi} \cos(2(5x) dx = \int \cos(u) \frac{du}{10} \\ = \frac{1}{10} \sin(u) + c \\ substitute \: for \: u \\ = \frac{1}{10} \sin(10x) |^{\pi} _{ - \pi} \\ = \frac{1}{10} (( \sin(10\pi) - ( \sin( -10 \pi) ) \\ [/tex]
Which equation represents the sentence?
The sum of five times a number and seven is equal to twelve.
O A) 5n + 7 = 12
O B) 5( + 7) = 12
O c) (50)7 = 12
O D) 5 + nH2 = 12
Answer:
Step-by-step explanation:
Option A is the correct answer
Two expressions with equal sign is equation. The sum of five times a number and seven is equal to twelve" to equation is written in equation as 5n + 7 = 12. Option A is correct.
What is Equation?Two expressions with equal sign is called as equation.
We need to change the sentence "The sum of five times a number and seven is equal to twelve" to equation.
In the equation, times represent multiplication and sum represents addition.
five times a number=5n
The sum of five times a number and seven= 5n+7
The sum of five times a number and seven is equal to twelve=5n+7=12.
Therefore option A is correct. The sum of five times a number and seven is equal to twelve is 5n + 7 = 12
To learn more on Equation visit: https://brainly.com/question/6204440
#SPJ2
Solve please, thank you!
Answer:
c=8
Step-by-step explanation:
Please help will give brainliest
Answer: A. 12^2
Step-by-step explanation: Follow PEMDAS
HURRY I ONLY NEED AWSER
Answer:
x = 38
Step-by-step explanation:
Angles KLO and OLM form a linear pair.
Angles NMO and OML form a linear pair.
180 - 134 + 180 - 84 + x = 180
x + 142 = 180
x = 38
What value of x is in the solution set of 2x-3>11 - 5x?
Answer:
3. 2 or x=2
Step-by-step explanation:
I put your question into a math calculator and this was the answer. Good luck!
Mr.Travelswell is about to visit Germany and Sweden. He has £5000 to spend. He wants to exchange 60% of this into Euros in Germany, and the rest into Krona in Sweden. When he changes his £5000, 1 Euro = £0.75 and £1=12.63 Krona. Calculate how many Euros and how many Krona he will receive.
answer:
4000 Euros and 25260 kronas.
detailed answer:
If £5000 is 100percent of his money, then 60percent is £X
x=(60×5000)/100= 3000(£)
rest of it is £2000
lets calculate Euros first:
3000/0.75=4000 (Euro €)
now kronas:
2000×12.63=25260 krona.
Please help!! Giving brainlist
Answer:
1. sun
2. gravity
3.Atmosphere
4. Hydrosphere
5. Run off
Step-by-step explanation:
Plsss help ASAP the semester is about to end and I have to finish so many assignments
Answer:
f(15,055) is the number of pages in a book with 15,055 words.
Step-by-step explanation:
f(w) = length of book (in pages).
w = number of words
Thus, from the options given, the only true statement about the function is that:
f(15,055) = number of pages of a book that has 15,055 words.
"f(15,055)" is the length of a book consisting of 15,055 words. It does not imply that there are 15,055 pages.
Ethan sold 2/3
gallon of lemonade. Kayla sold some lemonade too. Together, they sold 1 and 1/4
gallons.
Who sold more lemonade, Ethan or Kayla? How much more?
Check your work.
Answer:
Ethan
Step-by-step explanation:
On a quiet day without many witnesses, a 4.5 ft victim was shot by a sniper that was in a tower 780 ft away. If the angle of elevation is 5 degrees from the victim, at what vertical distance did the sniper shoot from
Answer:
68.17m
Step-by-step explanation:
Please see attached a rough sketch of the scenario
Step one:
Given data
Height of victim= 4.5ft
The horizontal distance of the snipper from the building = 780ft
The angle of elevation= 5 degrees
Required
The vertical distance
The opposite= the vertical distance
789 ft = the adjacent
Step two:
Applying SOH CAH TOA
tan ∅= opp/adj
tan 5= opp/780
cross multiply we have
0.0874= opp/780
cross multiply we have
0.0874*780= opp
opp= 68.17m
The sniper shoots from a vertical distance of 68.17m
Read and solve each problem.
1. 1. A box of donut contains 12 pieces. Jane bought 24 boxes for
Jannea's birthday. About how many donuts did Jane buy in all?
a.) What is asked?
b.) What are the given facts?
c.) What operation is to be used?
d.) What is the number sentence?
e.) What is the complete answer?
Answer:
a) How many donuts did Jane buy>
b) A box of donuts contains 12 pieces, and Jane bought 24 boxes for Jannea's birthday.
c) Multiplication
d) ???
e) 288
Step-by-step explanation:
find the value of -12.8-88.2
Answer:
-101
Step-by-step explanation:
Answer:
-101
Step-by-step explanation:
-12.8-88.2 is equal to -101
A standard number cube,numbered 1 through 6 on each slide,is rolled 4 times.What is the probability of rolling a 2 on all three rolls? Express your answer as a fraction.
Answer:
The answer is 1/216
Step-by-step explanation:
for the first roll, you have a 1/6 chance to roll a 2
same for the other two rolls
so,
1/6*1/6*1/6=1/216
hope that helps
FREE BRAINLIEST. PLEASE ANSWER STEPBY STEP 1. 2. 3.
Answer:
8
Step-by-step explanation:
First do whats in the parenthesis:
(8+18/9)
Using PEMDAS again, we do the division first:
(8+2)
Now addition:
(10)
Now subtraction:
(10)-2
8
kazito sold an item for sh 4950 and made a 12 ¹/2profit.what was the cost price of the item?
Selling price = Sh 4950 , % profit = 12.5%, Cost price = ?
Selling Price / Cost price = 100 + rate/100
Sh 4950/Cost Price = 112.5/100
112.5 Cost Price = 4,95,000
Cost Price = Sh 4,400
The graph of f(x) = 2x+3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x - k. What is the value of k? (1 point)
a
3
7
Ob
Ос
10
Od
13
Answer:
more context please :)
Step-by-step explanation:
Answer:
more context please
Step-by-step explanation: