Answer:
The length that separates the bottom 5% is of 4.87 centimeters.
The length that separates the top 5% is of 5.03 centimeters.
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.
Mean of 4.95 centimeters and a standard deviation of 0.05 centimeters.
This means that [tex]\mu = 4.95, \sigma = 0.05[/tex]
Bottom 5%:
The 5th percentile, which is X when Z has a pvalue of 0.05. So X when Z = -1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.645 = \frac{X - 4.95}{0.05}[/tex]
[tex]X - 4.95 = -1.645*0.05[/tex]
[tex]X = 4.87[/tex]
The length that separates the bottom 5% is of 4.87 centimeters.
Top 5%:
The 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 4.95}{0.05}[/tex]
[tex]X - 4.95 = 1.645*0.05[/tex]
[tex]X = 5.03[/tex]
The length that separates the top 5% is of 5.03 centimeters.
Simplify 42 ⋅ 48.
Please help with this!
Answer:
Step-by-step explanation:
a^x. a^y=a^{x+y}
4²*4^8=4^{10}
Answer:
4 to the power of 10
Step-by-step explanation:
If g(x) = 2 | x| − 1, what is g(−2.3)?
a.-7
b.-5
c.-4
d.-3
Answer:
-7
Step-by-step explanation:
A jacket was originally $284. It is discounted 20%, but doesn’t sell, so it is discounted again by 20% off the sale price. Finally, after sitting in the store for 6 months, it is marked as clearance, at 50% of the lowest sale price. What is the clearance price of the jacket?
the equation is
Y=4x + 2
-6x+ 2y=8
I'm trying to figure out whats the value of x +y
Answer:
Y = 4x +2
substitute Y into the second equation
-6x +2[4x +2] =8
-6x +8x +4 =8
collect like terms
-6x +8x =8-4
2x=4
x=2
Substitute (x=2) into the first equation
Y= 4(2) +2
Y= 8+2
Y= 10
Given the first three terms of Geometric Sequence: 2b+2, b+4, b, where each of the tem is
positive, find
1) the value of b. (8)
ii) the first term and common ratio. (18,2/3)
(2009)
Answer:
1. b = 8
2. First term (T₁) = 18
Common ratio (r) = 2/3
Step-by-step explanation:
1. Determination of the value of b.
2b+2, b+4, b
First term (T₁) = 2b + 2
2nd term (T₂) = b + 4
3rd term (T₃) = b
The value of b can be obtained as follow:
Common ratio = T₂/T₁ = T₃/T₂
T₂/T₁ = T₃/T₂
(b + 4)/(2b + 2) = b/(b + 4)
Cross multiply
(b + 4)(b + 4) = b(2b + 2)
Expand
b(b + 4) + 4(b + 4) = b(2b + 2)
b² + 4b + 4b + 16 = 2b² + 2b
b² + 8b + 16 = 2b² + 2b
Rearrange
2b² – b² + 2b – 8b – 16 = 0
b² – 6b – 16 = 0
Solving by factorisation
b² – 8b + 2b – 16 = 0
b(b – 8) + 2(b – 8) = 0
(b – 8)(b + 2) = 0
b – 8 = 0 or b + 2 = 0
b = 8 or b = –2
Since each of the terms are positive, therefore, b is 8.
2. Determination of the first term and common ratio.
2b+2, b+4, b
First term (T₁) = 2b + 2
b = 8
First term (T₁) = 2(8) + 2
First term (T₁) = 16 + 2
First term (T₁) = 18
2nd term (T₂) = b + 4
b = 8
2nd term (T₂) = 8 + 4
2nd term (T₂) = 12
Common ratio (r) = T₂/T₁
First term (T₁) = 18
2nd term (T₂) = 12
Common ratio (r) = 12/18
Common ratio (r) = 2/3
If a bakery produces 1,215 cupcakes during a 9 hour shift, what is the production rate of cupcakes per hour?
Answer:
135
Step-by-step explanation:
Answer:
135 cupcakes
Step-by-step explanation:
You would do 1,215 divided by 9 to get your answer. So the answer would be 135 cupcakes.
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
??????
Step-by-step explanation:
Answer:
wow this is not 40 points there u get no help
Step-by-step explanation:
Mark has a square photo with an area of 9cm squared.
He enlarged the photo to have an area of 36cm squared
To do this the length of each side was multiplied by a factor of?
Answer:
length of each side should be multiplied by 2
7. Mrs. Paulson is constructing a 90% confidence interval for the difference of means based on independent
simple random samples from two populations. The sample sizes are n, = 6 and n, =14. She draws dotplots
of the sample data to check one of the conditions for using two-sample i procedures. Which of the following
descriptions of those dotplots would suggest that it is safe to perform inference?
(a) Both dotplots are roughly symmetric. There are no outliers in either dotplot.
(b) Both dotplots are roughly symmetric. The dotplot of sample 2 has an outlier.
(c) Both dotplots are strongly skewed to the right. There are no outliers in either dotplot.
(d) Both dotplots are roughly symmetric. Both dotplots have one upper outlier
(e) i procedures are not recommended in any of these cases.
The description that will show that it is safe to perform inference is that (a) Both dotplots are roughly symmetric. There are no outliers in either dotplot.
What description would make it possible to make inferences?In order to use the two-sample t procedure to make inferences, certain conditions need to be met such as the sample being random and independent.
The variances for the groups in the data need to be equal which is why the presence of no outliers in either dotplot would present an safe opportunity to be able to perform inferences on the data.
In conclusion, option A is correct.
Find out more on two-sample t-tests at https://brainly.com/question/17438355.
write the equation of the line when m =
[tex] \frac{1}{3} [/tex]
if QS= 13 and RS= 12 what is the length of QR
Each side length is doubled. What is the PERIMETER of the new figure?
Answer:
24 units
Step-by-step explanation:
Original perimeter:
5+4+3=12
When each side length is doubled, the original perimeter is doubled.
12*2=24
Answer:
if the length of each side is is doubled then
5×2 = 10
4×2 = 8
3×2 = 6
perimeter of new figure = 10 + 8 + 6
= 24 units
hope this helps good day mate
A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totaled $327.50. The second order was for 6 bushes and 2 trees, and totaled $142.96. Sam tried to use system of equation to solve the problem If "b" represents bushes and "t" represents trees which system can Sam use?
A 13b + 2t = 327.50 6b + 4t = 142.96
B. 13b + 4t = 142.96 6b + 2t = 327.50
C 4b + 13t = 327.50 2b + 6 = 142.96
D 13b + 4t = 327.50 6b + 2t = 142.96
Answer:
A
Step-by-step explanation:
because mathematics of mathatics equals mathematics
What is 5 3/4 -1 5/12= ?
Answer:
4.33333333333 or 4 and 1/3
Step-by-step explanation:
Answer:
4 1/3
Step-by-step explanation:
1) Convert 5 3/4 to improper fraction.
2) Simplify 5x4 to 20.
3) Simplify 20+3 to 23.
4) Convert 1 5/12 to an improper fraction.
5) Simplify 1x12 to 12.
6) Simplify 12+5 to 17.
7) Find the least common denominator of 23/4 & 17/12.
8) Make the denominators the same.
9) Join the denominators.
10) Simplify 52/12 ( 4 1/3 )
Hope this helped!
.
3. Solve y = 2(x - 3) when:
a. X = 4
b. y = 8
Answer:
Hello!
Ok so first you plug in y as 8 and x as 4. You first do the math in the parentheses so 4-3 is 1, then 1 times 2 is 2. It should be like this 8=2. Then you do 8 divided by 2 which is 4.
Step-by-step explanation:
Find the areas of the trapezoids
Answer:
figure 1 - 10.5 unit^2
figure 2 - 12 unit^2
Step-by-step explanation:
figure 1
1. find the area of the rectangle
3*2 = 6 unit^2
2. find the area of the triangle
(3*3)/2 = 4.5 unit^2
3. add the area of the rectangle and the area of the triangle together. The sum would be the area of the trapezoid.
6 + 4.5 = 10.5 unit^2
figure 2
1. find the area of the rectangle
2*4 = 8 unit^2
2. find the area of both triangles
(1*4)/2 = 2 unit^2
3. add the area of the rectangle and the area of both triangles together. The sum would be the area of the trapezoid.
8 + 2 + 2 = 12 unit^2
What are the ordered pairs of the solutions for the
following system of equations?
Answer:
(3,1);(6,-2)
Step-by-step explanation:
I pretty much just looked at where they both intersected with each other and you'll get your answer.
PLEASE ANSWER ASAP FOR BRAINELST!!!!!!!!!!!!!!!!!!!
Find the area of the figure.
NO LINKS
x
What are the perimeter and area
of a square with side length of 12 in.?
A. P= 24 in., A = 24 in.?
B. P= 144 in., A = 48 in.2
O
C. P = 24 in., A = 144 in.2
O
D. P= 48 in., A = 144 in.2
Answer: P = 48 in, A = 144 in.2
Step-by-step explanation: Since a square has equal sides and we know one side length is 12 inches, then all the sides are 12 inches. For perimeter, we add all sides, which would equal 48 and for area, we multiply 2 of the sides, which would be 144.
Please help me
This is analytic geometry
Answer:
The coordinates of point B are (-3,-3).
Step-by-step explanation:
Let [tex]A(x,y) = (6,-6)[/tex], [tex]C(x,y) = (-6,-2)[/tex] and [tex]\overrightarrow{AB} = \frac{3}{4}\cdot \overrightarrow{AC}[/tex], then we have the following formula by vectorial definition of a line segment:
[tex]\overrightarrow{AB} = \frac{3}{4}\cdot \overrightarrow{AC}[/tex]
[tex]B(x,y) -A(x,y) = \frac{3}{4}\cdot [C(x,y)-A(x,y)][/tex]
[tex]B(x,y) = \frac{3}{4}\cdot C(x,y) +\frac{1}{4}\cdot A(x,y)[/tex]
[tex]B(x,y) = \frac{3}{4}\cdot (-6,-2)+\frac{1}{4}\cdot (6,-6)[/tex]
[tex]B(x,y) = (-3, -3)[/tex]
Can someone please help me?
9514 1404 393
Answer:
C. 0.25, 1, 2, 4.75
Step-by-step explanation:
The solutions are the x-values of the points where the curves intersect. There are 4 intersection points to the right of the y-axis. Choice C is the only one with four (4) positive values for x.
The exact value of X
Answer:
x = 92
hope this answer helps you......
The correct answer
x = 14
Pythagorean theorem
50=c
48=b
?=a
a=√(50²-48²)
a=14
14#
1. What is the slope of the line
given by the equation
y = 2x +7
Answer:
2
Step-by-step explanation:
Write in order from least to greatest 0, 7, −2, |− 5|, 1.5, 0.7
Answer:-5,-2, 0, .7,1.5,7
Step-by-step explanation:
AS shown above
Pls help 15 points What is the are of the trapezoid?
Answer:
D) 156 mm²
Step-by-step explanation:
18+8=26
26/2=13
13x12=156
In the Baroque period, how many melodies did a piece of music usually feature
Answer:
Many types of music, e.g. The Chorale, Opera, the Dance Suite.
Step-by-step explanation:
Answer:
The answer is: A. One
Step-by-step explanation:
I took the test.
An item that originally costs $320 is on sale for 22% off. What is the sale price? Show your work. PLZ SHOW UR WORK!
Answer:
The answer is $249.60
Step-by-step explanation:
This is a simple question. Firstly you will take the total cost and multiply it by 0.22. The answer to this is 70.4. Take that and subtract it from the total cost because 70 is the discount price. Once subtracted you will get 249.6. In conclusion, the sale price of the item is $249.60.
P.S. I hope this answer helped you in some way or another. If you have any questions you can ask them to me and I will be happy to help you out. I also wanted to add that I have a channel called The Game Rater or soon to be Nitro Studios (based on when you see this). I would really appreciate it if you could check out my channel. If not, I hope this answer helped you and I still appreciate you reading this side note. Thank you.
-Nitroid444Parker ran 100 meters, 6 kilometers, and 4,000 centimeters. How many meters did he run all together
Answer:
4,106
Step-by-step explanation:
you jus add all the numbers up.
The value of 8 units is 11. What is the value of 1 unit?
!!WILL MARK BRAINLIEST!!
(08.01 MC)
Find the height of a square pyramid that has a volume
of 32 cubic feet and a base
length of 4 feet. (1 point)
1) 2 feet
2) 4 feet
3) 6 feet
4) 8 feet
Saved
Question 5 (1 point)
(OB.02 MC)
Answer:
4) 8
Step-by-step explanation:
Answer:
6 feet
Step-by-step explanation:
Formula: V=1/3Bh
V=1/3(4×4)6
V=1/3(16)6
V=1/3(96)
V=96÷3
V=32
(P.S.-The capital 'B' in the formula stands for the area of the square base)
Hope this helped :)