Answer:
(a) 259.5 days
(b) 284 days
Step-by-step explanation:
Let X represent the pregnancy length in days.
It is provided that [tex]X\sim N(270,9^{2})[/tex].
(a)
Let a represent the minimum pregnancy length that can be in the top 12% of pregnancy lengths.
Then,
P (X < a) = 0.12
⇒ P (Z < z) = 0.12
The corresponding z-score is, z = -1.17.
*Use a z-table.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\-1.17=\frac{a-270}{9}\\\\z=270-(9\times 1.17)\\\\z=259.47\\\\z\approx 259.5[/tex]
Thus, the minimum pregnancy length that can be in the top 12% of pregnancy lengths is 259.5 days.
(b)
Let b be the maximum pregnancy length that can be in the bottom 6% of pregnancy lengths.
Then,
P (X > b) = 0.06
⇒ P (X < b) = 0.94
⇒ P (Z < z) = 0.94
The corresponding z-score is, z = 1.56.
*Use a z-table.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\1.56=\frac{b-270}{9}\\\\z=270+(9\times 1.56)\\\\z=284.04\\\\z\approx 284[/tex]
Thus, the maximum pregnancy length that can be in the bottom 6% of pregnancy lengths is 284 days.
please help will give brainliest
Answer:
0
Step-by-step explanation:
2nd avenue is a horizontal line, parallel to the x-axis.
The slope of a horizontal line is zero.
Answer: slope = 0
Which of these numbers round to 6.81 nearest hundredth
Answer:
6.81
Step-by-step explanation:
If the last digit in the fractional part of 6.810 is less than 5, then simply remove the last the digit of the fractional part.
Answer:
6.81 stays the same you can't round it because there is a 1 behind the 8 so u givee it a rest so stays the same
Lin ran 2 3/4 miles in 2/5 of an hour, Noah ran 8 2/3 miles in 4/3 of an hour. How long would it take Lin and Noah to run 1 mile at that rate?
Answer:
Step-by-step explanation:
Lin
Distance = 2 3/4 miles
Time = 2/5 hours
= distance / time
= 2 3/4 ÷ 2/5
= 11/4 × 5/2
= 55/8
= 6 7/8
It would take Lin 6 7/8 hour to run 1 mile at a constant rate
Noah
Distance = 8 2/3 miles
Time = 4/3 hour
= distance / time
= 8 2/3 ÷ 4/3
= 26/3 × 3/4
= 26/4
= 13/2
= 6 1/2
It would take Noah 6 1/2 hour to run 1 mile at a constant rate
Find the measure of each marked angle. Assume the lines are parallel.
(2x - 30)° =
(x+3)° =
Answer:
Measure of each angle = 36°
Step-by-step explanation:
[tex](2x - 30) \degree = (x + 3) \degree \\ (alternate \: \angle \: s) \\ \\ 2x - 30 = x + 3 \\ \\ 2x - x = 30 + 3 \\ \\ x = 33 \\ \\ (2x - 30) \degree \\ = (2 \times 33 - 30)\degree \\ = (66 - 30)\degree \\ = 36 \degree \\ \\ (x + 3) \degree \\ = (33 + 3) \degree \\ = 36\degree[/tex]
The value of x will be equal to 33.
What are alternate exterior angles?According to the alternate exterior angle theorem, the exterior angles created on either side of a transversal when two parallel lines intersect are equal. The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
Given angles (2x - 30)° and (x+3)° are alternate exterior angles so these two angles will be equal to equal to each other.
(2x - 30)° = (x+3)°
Separate all the like terms and calculate the value of x:-
(2x - 30)° = (x+3)°
2x - x = 33 + 3
x = 33
Therefore, the value of x will be equal to 33.
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14=3y
This is DPOE and MPOE . 7th Grade honors ( 8th grade math)
Answer:
I dont know what dpoe and mpoe means but to get 14=3y I would assume you would divide 14 by 3 and 3y by 3 to get 14/3=y. and then you have to figure out what 14 divided by 3 is because I want to go to bed
Write an equation that represents the relationship between the distance the car has traveled in miles, , and the amount of gas left in the tank in gallons x
Answer: y= Y/x = ?
Step-by-step explanation: write the equation like said, and use the numbers you get to fill in. So say you traveled 500 miles , and you had 540 miles till empty yku would have 40 miles left , so you traveled 500 miles per gallon of gas :) hope this helps
Henry has a 88 average after 7 assignments in his class. He would like
to get an A in the class, which requires an 89.5% What grade is required
on the next assignment so he can get an A
Answer: He need to score 100 in next assignment to can get an A.
Step-by-step explanation:
Given: Average marks till now = 88%
Average = (sum) divided by (Number of observations)
Here, number of assignments =7
So, [tex]88=\dfrac{(sum)}{7}\Rightarrow\ sum =88\times7= 616[/tex] (i)
After next assignment, number of assignments = 8
Required Average = 89.5
[tex]89.5=\dfrac{sum}{8}\Rightarrow\ sum = 89.5\times8= 716[/tex] (ii)
(ii)-(i) gives 100
So, he need to score 100 in next assignment to can get an A.
is 2 1/6 a irrational?
Answer:
it is rational
Step-by-step explanation:
hope i help? :DD
And this one help pleaseee
Answer:
m∠5 = 54
Step-by-step explanation:
m∠1 + 126 = 180
m∠1 = 54
m∠1 = m∠5
m∠5 = 54
What is another way to select (5-x)
Answer:
x-5
Step-by-step explanation:
Because the opposite of (5-x )is (x-5)
Answer:
x-5 or -5x
Step-by-step explanation:
daily reminder that you are beautiful INSIDE & OUT! You got this!
Comment one thing you’re most proud of!
Answer:
i am proud of how large the meat between my legs is
Step-by-step explanation:
Sanjay, Colby, and Arpitha are training to run a marathon. On Saturday, Sanjay ran StartRoot 125 EndRoot miles, Colby ran 13 miles, and Arpitha ran the shortest route from the library to her house, as shown in the diagram.
A right triangle. The distance from the angle with measure 90 degrees to Arpitha's Home is 9 miles, and the distance to the Library is 6 miles.
Which list shows the names in order from the person who ran the shortest distance to the one who ran the greatest distance?
Colby, Sanjay, Arpitha
Sanjay, Arpitha, Colby
Sanjay, Colby, Arpitha
Arpitha, Sanjay, Colby
Answer:
D
Step-by-step explanation:
Cuz it is right. -_-
Answer: D. Arpitha, Sanjay, Colby
Step-by-step explanation:
got it right on egde. brainlyest please im stuck on ambitious :-(
Brandon has 32 pieces of paper. Sophia has 2 times as many pieces of paper as Brandon. How many pieces of paper does Sophia have?
Answer:
64 pieces of paper
Step-by-step explanation:
32 × 2 = 64
So 2x32 is 64 write down 32 then write x 2 now make a line your answer is 64
Solve the linear equation 39-4t= 24+ t for t
Answer:
T is 3 because you could of asked google
Answer:
t = 3
Step-by-step explanation:
39-24=t+4t
15 = 5t
5t = 15
t = 15 divided by 5
t = 3
hope this helps!
pls marks as brainliest!!
25/x - 17/x, x ≠0
Please?
Answer:
60
Step-by-step explanation:
hmmmmmmmmmmmmmmmmmmm
7) Find the sample standard deviation. 22 29 21 24 27 28 25 36
Answer:
26.5
Step-by-step explanation:
The standard deviation of 22, 29, 21, 24, 27, 28, 25, 36 is 19.75.
What is standard deviation ?"The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance. The standard deviation is calculated as the square root of variance by determining each data point's deviation relative to the mean."
"Standard deviation is an especially useful tool in investing and trading strategies as it helps measure market and security volatility—and predict performance trends. As it relates to investing, for example, an index fund is likely to have a low standard deviation versus its benchmark index, as the fund's goal is to replicate the index."
The given numbers are 22, 29, 21, 24, 27, 28, 25, 36.
The formula for standard deviation is [tex]\sqrt({ $\sum_{n=1}^{n} (xi - mean)^2/n )= 1$}[/tex]
Finding mean of given numbers = 22+29+21+24+27+28+25+36/8 = 26.5
Now for standard deviation =[tex]\sqrt((22-26.5)^2 + (26.5-29)^2 + (26.5-21)^2+(26.5-24)^2+(26.5-27)^2+(26.5-28)^2+(26.5-25)^2+(26.5-36)^2/8 )[/tex]
= 19.75
Hence, the standard deviation of the given numbers is 19.75
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Solve for X please help !!
A) 6
C) 9
B) -4
D) 7
A building's basement is 12 feet below ground. If the total length of the building from basement to roof is 62 feet, what is the building's elevation above ground?
Answer:
62-12=50
Step-by-step explanation:
hope that helps!
GIVING BRAINLIEST TO WHOEVER ANSWERS FIRST!!!
Select all of the transformations or series of transformations that support his claim.
a translation of 12 units right and 2 units down
a translation of 2 units down followed by a 180° rotation about the point (1, 2)
a reflection over the line x = 0 followed by a reflection over the line y = 4
ОООООО
a translation of 6 units right
a reflection over the line x = 1 followed by a translation of 2 units down
a rotation of 180° about the point (1,4)
Previous
please help. i dont know how to do it cuz im dumb
Answer:
The image is reflecting in the x axis
Step-by-step explanation:
hope that's what you were looking for. if not, the middle of both of the images is (0, .5)
if x is 5, then 6x =
Answer:
30Step-by-step explanation:
x=5 (given)
6x=?
replace 5 in the place of x
===> 6(5)
===> 6×5
===> 30plzz mark as brainliest
- A credit card company charges 12% interest
on the unpaid balance. If Mona has an unpaid
balance of $220, how much interest will she be
charged for one month?
a. $2.75
b. $14.40
C. $24.00
d. $26.95
I need help on this math question
Answer:
5
Step-by-step explanation:
30 POINTS AND I WILL MARK BRAINLYEST
What are the x intercept and the y intercept of the graph 9x-7y=-63 identify the x and y intercepts then choose the graph of the equation
Answer:
x intercept -7,0
y intercept 0,9
Sylvia buys a case of water that contains 24 bottles and sells x number of bottles to her co- workers. Sam buys a case of water that contains 36 bottles and sells three times as man bottles as Sylvia sold to his co-workers. How many bottles of water did Sylvia sell if they ended up with the same number of bottles of water left over?
Answer:
6 bottles
Step-by-step explanation:
Given the following :
SYLVIA:
Case of water = 24 bottles
Number of bottles sold = x
SAM:
case of water = 36 bottles
Number of bottles sold = 3x
Number of bottles left after sales are the same ;
Number of bottles left :
24 - x = 36 - 3x
Then solve for x
-x + 3x = 36 - 24
2x = 12
x = 12/2
x = 6
Hence, Sylvia sold 6 bottles of water.
Write the algebraic expression for the following word phrase: the product of 9 and 4 less than p
Answer:
36 < p
Step-by-step explanation:
Product means multiplication, therefore,
9 × 4 = 36
The symbol of "less than" in mathematics is < , hence:
36 < p
Two trains are traveling at constant speeds on different tracks. Trains Which train is traveling faster? Explain your reasoning. Train is traveling faster, because it will go 100 meters in only seconds, compared to Train
Answer:
Train A is traveling faster
Step-by-step explanation:
Train A has more distance than train B.
Train A is traveling faster, because it will go 100 meters in only seconds, compared to Train B.
One week, Jose earned $145.60 at his job when he worked for 7 hours. If he is paid the same hourly wage, how many hours would he have to work the next week to earn $83.20?
slope intercept form,
4x-2y=18
Answer:
x=9/2+y/2
Hope this helped
7. Ger and Amy are planting tulips. Ger has planted 60 tulips already and is planting more at a
rate of 44 tulips per hour. Amy has planted 96 tulips already and is planting more at a rate of 32
per hour.
a. After how many hours, h, will Ger and Amy have planted the same
number of tulips?
Answer:
23 hours
Step-by-step explanation: 44*32 = 1408 1408/60 = 23.46= 23 hours