Answer:
(a) 0.2061
(b) 0.2514
(c) 0
Step-by-step explanation:
Let X denote the heights of women in the USA.
It is provided that X follows a normal distribution with a mean of 64 inches and a standard deviation of 3 inches.
(a)
Compute the probability that the sample mean is greater than 63 inches as follows:
[tex]P(\bar X>63)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}>\frac{63-64}{3/\sqrt{6}})\\\\=P(Z>-0.82)\\\\=P(Z<0.82)\\\\=0.20611\\\\\approx 0.2061[/tex]
Thus, the probability that the sample mean is greater than 63 inches is 0.2061.
(b)
Compute the probability that a randomly selected woman is taller than 66 inches as follows:
[tex]P(X>66)=P(\frac{X-\mu}{\sigma}>\frac{66-64}{3})\\\\=P(Z>0.67)\\\\=1-P(Z<0.67)\\\\=1-0.74857\\\\=0.25143\\\\\approx 0.2514[/tex]
Thus, the probability that a randomly selected woman is taller than 66 inches is 0.2514.
(c)
Compute the probability that the mean height of a random sample of 100 women is greater than 66 inches as follows:
[tex]P(\bar X>66)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}>\frac{66-64}{3/\sqrt{100}})\\\\=P(Z>6.67)\\\\\ =0[/tex]
Thus, the probability that the mean height of a random sample of 100 women is greater than 66 inches is 0.
Can anyone help it would mean alot im struggling right now
Answer:
what do you need? ^-^ I can help you
One-fourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The local chief of police estimates that 5 % of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. If the garage is robbed, what is the probability the doors ware left open
Answer:
If the garage is robbed, the probability the doors ware left open is 0.625.
Step-by-step explanation:
Denote the events as follows:
X = garage doors open
Y = something is stolen
The information provided is:
P (X) = 0.25
P (Y|X) = 0.05
P (Y|X') = 0.01
Compute probability that the garage is robbed as follows:
[tex]P(Y)=P(Y|X)P(X)+P(Y|X')P(X')\\\\=(0.05\times 0.25)+(0.01\times (1-0.25))\\\\=0.0125+0.0075\\\\=0.02[/tex]
Compute the probability the doors ware left open given that the garage is robbed as follows:
[tex]P(X|Y)=\frac{P(Y|X)P(X)}{P(Y)}\\\\=\frac{0.05\times 0.25}{0.02}\\\\=0.625[/tex]
Thus, if the garage is robbed, the probability the doors ware left open is 0.625.
When you divide 7.7 by 700, how many decimal places will the quotient have?
If r = 18 cm, what is the area of this sector? Express your answer
to the nearest tenth of a centimeter.
A 424.2 cm?
536.2 cm?
1
508.9 cm
834.1 cm?
Answer:
466
Step-by-step explanation:
nnnnnnnn
Which method could be used to prove they are similar?
1.5
3
4.5
Jy
Answer:
Prove what is similar?????
NEED HELP DESPERATELY PLEASE IT IS MULTIPLE CHOICE
Find the amount to be paid at the end of eight years that is equivalent to a payment of $400 now and a payment of $300 at the end of four years
(a) if 6% simple interest is earned from the date each payment is made and use a comparison date of right now.
(b) if 6% simple interest is earned from the date each payment is made and use a comparison date of eight years from now.
(c) Explain why the fact you get different answers in parts (a) and (b) does not contradict the fact that equations of value at different times are equiv- alent equations.
(d) Repeat parts (a) and (b) except replace "simple interest" with "compound interest."
Answer:
A) $964
B) $651.35
C) The difference in value for part a and part b is due to time factor and the accumulated interest hence it is better to pay $651.35 right now than to pay $964 when you pay $400 now and $300 in four years time
D) $1016.28 , $637.63
Step-by-step explanation:
lets assume the amount to be paid in eight years that is equivalent to payment of $400 now and a payment of $300 at the end of four ( 4 ) years ( FV )
a) since a 6% interest is earned each day of every payment
will use this formula : S = P( 1 + rt )
therefore $400 paid today will a simple interest of = 400 * 0.06 * 8 = $192
$300 paid at the end of four years will earn a simple interest of = 300*0.06*4 = $72
hence FV = $ ( 400 + 192 ) + $ ( 300 + 72 ) = $964
b) when compared with eight years from now
PV = [tex]\frac{FV}{1+rt}[/tex] = ($964) / ( 1 + (0.06*8) = $651.35
C) The difference in value for part a and part b is due to time factor and the accumulated interest hence it is better to pay $651.35 right now than to pay $964 when you pay $400 now and $300 in four years time
D) Repeating parts (a) and (b) using compound interest
using the formula : S = P( 1 + r )^t
therefore $400 paid today will have a compound interest of
= 400 ( 1.06)^8 = $637.54
$300 paid at the end of four years will earn a compound interest of
= 300 ( 1.06 ) ^4 = $378.74
hence FV = 637.54 + 378.74 = $1016.28
when compared with eight years from now
= [tex]\frac{FV}{(1+r)^t}[/tex] = ( 1016.28 ) / ( 1.06 ) ^8 = $637.63
find percent increase
from 24 teachers to 30 teachers ___
2:5 =4: ?
Answer
Explain
20 less than the sum of eight and a number?
Answer:
(8 + x) - 20
Step-by-step explanation:
Answer:
The answer is (8 + x) - 20
Step-by-step explanation:
The Jones family has a monthly income of $6,500. The budgeted the following: Retirement savings $700, Emergency savings $550, and Housing expenses $1,300. Which of the following shows the percentage of income used for housing expenses
Answer:
1867
Step-by-step explanation:
took the test
select the correct answer(click the photo)
Answer:
B.
General Formulas and Concepts:
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define function
f(x) = 8x + 4
Step 2: Prep
Rewrite: y = 8x + 4Swap x and y: x = 8y + 4Step 3: Find Inverse (Solve for y)
Subtract 4 on both sides: x - 4 = 8yDivide both sides by 8: (x - 4)/8 = yRewrite: y = (x - 4)/8Rewrite: f⁻¹(x) = (x - 4)/8What is the equation?
Answer: y= 2x + 2
Step-by-step explanation:
What transformation happened to the parent linear function when the m is changed to 3? Parent equation: y=x. New equation y=3x
Answer:
Step-by-step explanation:
the funtion was dilated by a factor of 3 since insted or x we have 3x
Seven more than a number, x, is at most 20
Answer:
x+7 ≤ 20
Just take it step by step:
seven more than a number is a number plus 7 (x+7)- keep in mind we dont know what the number is so we use x to represent the number.
it then says it's equal to at most 20.
This means that it cant equal anything above 20 since 20 is the max. Therefore, it must be 20 and below that x+7 equals
x+7≤ 20
≤ -this symbol means less than or equal to
Step-by-step explanation:
not sure need help
Answer:
The answer is 504 ft ^3 check my solution
Ty takes 1 hour to read 35 pages, 2 hours to read 70 pages, and 3 hours to read 105 pages.
Answer: There are 210 pages that ty read in 6 hours.
Step-by-step explanation:
This is my question it is in the screen shot please help me.
simplify 5.42 - 4.987
Answer:
0.433
Step-by-step explanation:
5.42 - 4.987
Subtract each column of digits starting from right to left.
5.420
- 4.987
If the digit being subtracted is larger than the digit above it then borrow a digit from the next left column.
5.420
- 4.987
Borrow 1 from 5:
4.(10+4)20
- 4.987
4.(14)20
- 4.987
Borrow 1 from 14:
4.(13)(10+2)0
- 4.987
4.(13)(12)0
- 4.987
Borrow 1 from 12:
4.(13)(11)(10+0)
- 4.987
4.(13)(11)(10)
- 4.987
Subtract the second digit from the first:
(10 - 7 = 3):
4.(13)(11)(10)
- 4.987
= 3
(11 - 8 = 3):
4.(13)(11)
- 4.987
= 33
(13 - 9 = 4):
4.(13)
- 4.987
= 433
4.(13)
- 4.987
= .433
(4 - 4 = 0):
4.(13)
- 4.987
= 0.433
Show your work please
will give brainliest...
The square of a certain positive number is equal to 2 more than seven-thirds of that number. What is the number?
6
4
3
Answer:
3
Step-by-step explanation:
x^2=7/3x+2
3^2=7/3(3)+2
9=7+2
9=9
I know m<1 is 55 but I don’t know 2 &3. Please help.
ttttttttttttttttttttttthhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeerrrrrrrrrrrrrrrrrrrreeeeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
(C)
Is the following relation a function?
Yes
or
No
Answer:
no
Step-by-step explanation:
Answer:
I think that it is yes but not sure
the virus is already 28% loaded if it is loaded at the rate of 12% every 10 minutes how much time do we have before it is 100% loaded .
Answer:
You will have 40 mins before 100%
Step-by-step explanation:
The number of minutes taken to completely load is 60 minutes.
Given that, the virus is already 28% loaded if it is loaded at the rate of 12% every 10 minutes.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Here,
Remaining virus to load =100-28
= 72
The rate of 12% every 10 minutes
Now, 72/12
= 6
So, 6×10 =60 minutes
Therefore, the number of minutes taken to completely load is 60 minutes.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ2
Sidh is making fruit salad. His recipe calls for 3/4 pound of watermelon. He wants
to make 1/2 of the amount of fruit salad in the recipe. How much watermelon does Sidh need?
Answer:
3/8
Step-by-step explanation:
3/4 x 1/2 = 3/8
A student wants to use the property
(
x
−
y
)
(
x
+
y
)
=
(
x
2
−
y
2
)
to find the product
(
26
)
(
34
)
.
Which statement is true?
The property is an illustration of difference of two squares
The true statement is [tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]
The property is given as:
[tex]\mathbf{(x - y)(x + y) = x^2 - y^2}[/tex]
The product is given as:
[tex]\mathbf{(26)(34)}[/tex]
Let x - y = 26, and x + y = 34.
So, we have:
[tex]\mathbf{x - y = 26}[/tex]
[tex]\mathbf{x + y = 34}[/tex]
Make x the subject in [tex]\mathbf{x - y = 26}[/tex]
[tex]\mathbf{x = 26 +y}[/tex]
Substitute 26 + y for x in [tex]\mathbf{x + y = 34}[/tex]
[tex]\mathbf{26 + y+ y = 34}[/tex]
[tex]\mathbf{26 + 2y = 34}[/tex]
Subtract 26 from both sides
[tex]\mathbf{2y = 34 -26}[/tex]
[tex]\mathbf{2y = 8}[/tex]
Divide both sides by 2
[tex]\mathbf{y = 4}[/tex]
Substitute 4 for y in [tex]\mathbf{x = 26 +y}[/tex]
[tex]\mathbf{x = 26 + 4}[/tex]
[tex]\mathbf{x = 30}[/tex]
So, we have:
[tex]\mathbf{(x - y)(x + y) = x^2 - y^2}[/tex]
[tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]
Hence, the true statement is [tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]
Read more about difference of two squares at:
https://brainly.com/question/23651973
Pls help with right answers
Answer:
Ava gives each cat 2 treats. 3 treats are left.
Step-by-step explanation:
15/6 = 2.5
If she wants to split them evenly then she can only give each cat 2 treats. so 2 x 6 = 12 which means that there are 3 treats left
Answer:
She will give 2 cat treats to each cat, with 3 cat treats remaining.
Step-by-step explanation:
Alright, it wants us to find what 15 divided by is is with the remainder.
6 goes into 15, 2 times, resulting in 12.
15 - 12 = 3
This means that she will give 2 cat treats to each cat, with 3 cat treats remaining.
I Hope this Helps!
Have a Great Day (because some other kid tried to ruin mine, but I won't let it affect me)!
Amy has 9 cups of flour. If this is 3/4 of the amount she needs to make cake, how many cups does she need?
ugh sorry no answer.. my answer is wrong..
HELP PLZZZ i need it plz
Jamie ordered 200 business cards and paid $23. She ordered 500 business cards and few months later and paid $35. WRITE and SOLVE a linear equation to find the cost to order 700 business cards.