Answer:
0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
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 p-value, we get the probability that the value of the measure is greater than X.
Normally distributed with a mean of 116 cm and a standard deviation of 5.4 cm.
This means that [tex]\mu = 116, \sigma = 5.4[/tex]
Find the probability that one selected subcomponent is longer than 118 cm.
This is 1 subtracted by the pvalue of Z when X = 118. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{118 - 116}{5.4}[/tex]
[tex]Z = 0.37[/tex]
[tex]Z = 0.37[/tex] has a pvalue of 0.6443
1 - 0.6443 = 0.3557
0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.
help please i need it asap! thank tou
Answer:
X = 3
Step-by-step explanation:
x= 6 x 1/2
what is the equation of the following graph in vertex form
Answer:
y=(x-4)²-4
Step-by-step explanation:
Our x-intercepts are (2,0) and (6,0) so we can state them as expressions and expand:
(x-2)(x-6)=0 [Remember that (2,0) is the solution to x-2=0 just as (6,0) is the solution to x-6=0]
x²-8x+12=0 (Standard Form)
x²-8x+12+4=0+4 (Completing the square)
x²-8x+16=4
(x-4)²=4
(x-4)²-4=0
Therefore, our equation for the graph in vertex form is y=(x-4)²-4
LOTS OF POINTS!! AND ILL GIVE BRAINLIEST! i need help it keeps telling me i’m wrong and it's so stressful. what is the angle number for m
look at pic 10 points
Answer:
120
Step-by-step explanation: 10 x 12 = 120 m. Hope this helps
How do you simplify (3a^2b) /(5ac) x (10c) /(6ab) given that A, B, C does not equal to 0?
Answer:
1Step-by-step explanation:
(3a²b) /(5ac) x (10c) /(6ab) = (3ab)/(5c) × (5c)/(3ab)1Answer:
solution given:
(3a^2b) /(5ac) x (10c) /(6ab)
[tex] \frac{3a {}^{2}b }{5ac} \times \frac{10c}{6ab} \\ \frac{3ab \times 10c}{5c \times 6ab} \\ \frac{2}{2} \\ 1[/tex]
1 is your answer
On the Federal Job site it states that at a 90% confidence level that the true population mean salary of High School Mathematics teachers in Bergen County New Jersey is between $52,000 and $108,000 per year. 9) I am offered a job as a High School Mathematics teacher in Dale county Florida. The salary they offer is $48,000 a year. Can I make any conclusions based on the confidence interval
Answer:
Option c (I cannot........Florida) is the appropriate response.
Step-by-step explanation:
The given statement of query seems to be incomplete. Please find the attachment of the complete problem below.
Throughout New Jersey, the Federative Recruitment agency informs you of the average wage of mathematics in high schools.Unless you're in Florida and therefore don't know concerning Dale County Florida wages, this same work you've been given is well beyond the area whereby you know the compensation of teachers or instructors, you can't make any view.The other three given alternatives aren't related to the question. Thus option c is the correct one.
attachemnt
look at it
Answer: 7y(3x+2)
Step-by-step explanation:
The greatest-common-factor for the coefficients 21 and 14 is 7
Both 21xy and 14y have the variable y
So the GCF factor is 7y
Watch help vile
Write an explicit formula for an, the nth term of the sequence 19, 25, 31, .....
WILL GIVE BRAINLEST!!!
Answer:
18 12
6 22
Step-by-step explanation:
if u understand my handwriting lol
square root of 2800
Answer:
52.91 :)
Step-by-step explanation:
Suppose that $10,083 is invested at an interest rate of 6.8% per year, compounded continuously.
a) Find the exponential function that describes the amount in the account after time t, in years.
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
c) What is the doubling time?
Answer:
a) The exponential function is [tex]A(t) = 10083(1.068)^t[/tex]
b)
The balance after 1 year is of $10,768.644
The balance after 2 years is of $11,500.91
The balance after 5 years is of $14,010.25.
The balance after 10 years is of $19,467.15
c)
The doubling time is of 10.54 years.
Step-by-step explanation:
Continuously compounded interest:
The amount of money earning after t years, with interest compounded continuously, is given by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the amount of the initial investment and r is the growth rate, as a decimal.
a) Find the exponential function that describes the amount in the account after time t, in years.
Suppose that $10,083 is invested at an interest rate of 6.8% per year
This means, respectively, that [tex]A(0) = 10083, r = 0.068[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = 10083(1+0.068)^t[/tex]
[tex]A(t) = 10083(1.068)^t[/tex]
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
After 1 year:
[tex]A(1) = 10083(1.068)^{1} = 10,768.644[/tex]
The balance after 1 year is of $10,768.644
After 2 years:
[tex]A(2) = 10083(1.068)^{2} = 11,500.91[/tex]
The balance after 2 years is of $11,500.91.
After 5 years:
[tex]A(5) = 10083(1.068)^{5} = 14,010.25[/tex]
The balance after 5 years is of $14,010.25.
After 10 years:
[tex]A(10) = 10083(1.068)^{10} = 19,467.15[/tex]
The balance after 10 years is of $19,467.15.
c) What is the doubling time?
This is t for which [tex]A(t) = 2A(0)[/tex]. So
[tex]A(t) = A(0)(1.068)^t[/tex]
[tex](1.068)^t = 2[/tex]
[tex]\log{(1.068)^t} = \log{2}[/tex]
[tex]t\log{1.068} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.068}}[/tex]
[tex]t = 10.54[/tex]
The doubling time is of 10.54 years.
find the quotient 5 2/3 ÷ 3/5 leave answer as a mixed number in simplest form.
Answer:
[tex]9\frac{4}{9}[/tex]
Step-by-step explanation:
Exact from:
[tex]\frac{85}{9}[/tex]
Decimal Form:
9.4
Mixed Number Form:
[tex]9\frac{4}{9}[/tex]
Give me Brainllest
You take your friend to Olive Garden for her birthday. The meal cost $25.80 plus a 5% sales tax. You then leave the server a 20% tip. How much did you spend all together?
Answer:
$30.96
Step-by-step explanation:
I hope this helps
If 8 containers of yogurt cost $6.80, how many containers of yogurt can you purchase
with $11.05?
You can purchase
containers ? yogurt with $11.05.
Answer:
The answer is 13 containers of yogurt.
Step-by-step explanation:
$0.85 = 1 container of yogurt so if you multiply 0.85 * 13 you will have your answer. I know this isn't too good of an explanation but trust me.
Compete the table to find the unit rate. the table shows how much jazz earns babysitting. What is jazz unit rate per hour? If jazz earned 97.50$ how many hours did she work?
Answer:
13 hours
Step-by-step explanation:
22.50/3=7.5
52.50/7=7.5
97.50/7.5=13
ANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIEST
Answer:
Step-by-step explanation:
B is the correct answer.
Answer:
B
Step-by-step explanation:
im smart
pls help me giving brainless.
fever thermometer: decimeter
needle: decimeter
interstate highway:kilometer
fingernail: probably a centimeter
river: kilometer
tree trunk: meter
hope this helps.
Plz help, I award brainliest!
Answer:
15 m E. B. C. D. that's why I will be there
Roseanne drew a circle with a radius of 20.2 cm. What was the approximate circumference of the circle if you use 3.14 for ?
A. 63.428 cm
B. 126.856 cm
C. 126.956 cm
D. 253.712 cm
Use trigonometric identities to simplify the expression.
cot(β+π)sin(β
Answer:
cosβ
Step-by-step explanation:
cot(β+π)sinβ
cot(x)=cos(x)/sin(x), so we can rewrite our expression as:
(cos(β+π)/sin(β+π)) * sinβ
sin(a+b)=sin(a)cos(b)+cos(a)sin(b), so we can rewrite our expression as:
(cos(β+π)/(sinβcosπ+cosβsinπ)) * sin(β)
cos(a+b)=cos(a)cos(b)-sin(a)sin(b), so we can rewrite our expression as:
(cosβcosπ-sinβsinπ)/(sinβcosπ+cosβsinπ)) * sin(β)
cosπ=-1 and sinπ=0, so we can rewrite our expression as:
(-cosβ)/(-sinβ) * sin(β)
(-cosβ)/(-sinβ) * sin(β)
=(cosβ/sinβ)(sinβ)
=cosβ
you took a test in social studies that was worth 100 points. how many points will you have to earn to get 88%?
Answer:
88 points.
Step-by-step explanation:
Answer:
You will have to have 88 points i think
Step-by-step explanation:
Find the sum: (7b
-4) + (-2b+1).
Answer:
=5b-3
Step-by-step explanation:
(7b -4) + (-2b+1).
Remove parenthesis;
7b-4+-2b+1
Group like terms;
=7b-2b-4+1
Add similar element
7b-2b=5b
=5b-4+1
Add/subtract the numbers
=5b-3
Answered by the ONE & Only #QUEEN herself aka #DRIPPQUEENMO
HOPE THIS HELPED!!!
I need help quickly. Please help.
Answer:
Mean:
= (4 + 6 + 9 + 11 + 8 + 13 + 12) / 7
= 63 / 7
= 9 (The sum of the numbers divided by the number of numbers)
Median:
= 4, 6, 8, 9, 11, 12, 13
= 9 (The middle number of a list from least to greatest)
Mode:
= NONE (The number that appears the most in a given list)
solve For X if 9( x²_1 )= 27 x 2187
Answer:
use photomath it'll slove it for you
Step-by-step explanation:
4. Ms. Hwang started reading at 3:35 p.m. She finished reading at 4:16 p.m.
How many minutes did Ms. Hwang read?
Find the MEDIAN
48 28 43 87 15 65 73 82 7 33 90
Answer:
48
Step-by-step explanation:
I NEED HELP!!!!
SELECT ALL THAT APPLY
WHICH SHAPE(S) COULD THE FOLLOWING FORMULA BE USED FOR?
A=1/2bh
A. Trapezoid
B. Triangle
C. Rectangle
D. Square
E. Cube
Answer:
B
Step-by-step explanation:
Cand D: A= bh
A: A = (a+b)/2h
E: A= 6a^2
A city mayor plans to build two new
parks. Each park will cover 1.45 acres.
How many acres will the new parks
cover altogether? Explain.
Most
represe
Answer: 2.90 acres.
Step-by-step explanation:
1.45x2 or 1.45 + 1.45
2) Determine whether 5 would be a solution to the inequality w+ 11 < 22.* 1 po Yes, it is a solution. No, it is not a solution.
Answer:
An equation or an inequality that contains at least one variable is called an open sentence. When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.
Answer:
Yes, w=5 is a solution for this inequality.
Step-by-step explanation:
w+11<22
If w=5, this is:
5+11<22
16<22, which is true. So w=5 works as a solution
Car A travels 18 miles every 20 minutes. Car B travels 13 miles every 12 minutes. Which statement best compares how far the two cars can travel in an hour?
Answer:
The answer is C) car b travels 11 more miles than car a in one hour
Step-by-step explanation:
Car A: 18/20(60)=54 mph
Car B: 13/12(60) = 65 mph
So car b travels 11 more miles than car a in one hour