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.
Determine whether each equation is true or false.
Answer:
1. False
2. True
3. False
Write a recursive formula and an explicit formula for the following arithmetic sequence.
5, 3, 1, -1, ...
A recursive formula is a1 = , an = |
(Simplify your answers. Use integers or decimals for any numbers in the expressions.)
An explicit formula is an =
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
Answer:
Step-by-step explanation:
Write rational numbers between 0 and 1
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please also say how did you solve it
this question has 10 points
I will mark you as Brillant if you answer it
Step-by-step explanation:
0/1 , 1/1
Multiply there denominators with any number...
0/1×60=0/60
1/1××60=60/60
Now,
You have many choices...
1/60,10/60,30/60,2/60,5/60........so on....
Am I correct? I put
Answer:
yes
Step-by-step explanation:
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
a change in shape or object by turning it
Suppose that sand is falling to form a circular cone whose radius and height are the same, as in the picture. Suppose that twenty cubic meters of sand falls every minute, so that the volume of the cone of sand is increasing at the rate of 20 m3/min. When the cone of sand is ten meters high, what is the at which the height of the cone is increasing (in meters per minute)
HOW LONG IS PQ?
special right triangles khan academy
Answer:
Step-by-step explanation:
The side opposite to the angle 30 degree in right triangle is half of hypothenuse.
The radius of the inside circle is 8 inches. The radius of the larger circle is 4 inches more than the radius of the small circle.
What is the area in square inches of the shaded area? Use 3.14 for π and round your answer to the nearest whole number.
Answer:
Area of shaded region=2 ×3.14×R -2×3.14×r(where R is lager radius and r is smaller radius.)
Therefore area of shaded region=2×3.14×12 -2×3.14×8
=2×3.14(12-8)
=6.18 ×4
=24.72 inc^2
Step-by-step explanation:
I don’t understand this...I’ve tried reading for answers, but this question stumps me. Please help!
Answer:
x=1, y=-5
Step-by-step explanation:
4(1)+2y=-6
2y=-10
y=-5
or
-3x-2(-5)=7
-3x=-3
x=1
Hope this helps!
Please please help. It’s due at 11:59. I don’t understand
Answer:
Step-by-step explanation:
FYI,
C ∪ D = ( - ∞ , 2 ) ∪ [ 6 , ∞ )
C ∩ D = ∅
Jin is planning to drive from City X to City Y. The scale drawing below shows the
distance between the two cities with a scale of 1/4 inch = 14 miles.
Answer:
84 miles
Step-by-step explanation:
Distance between the two cities on the drawing = 1½ in.
Scale of drawing = ¼ inches is to 14 miles
Actual distance between the two cities using proportion:
(14*1½)/¼
Actual distance = 84 miles
If f(x)= 2(3 to the power of x) +1 what is the value of f(2)
Answer:
19
Step-by-step explanation:
f(x)= 2(3^x) + 1
f(2)= 2(3^2) + 1
= 2(9) + 1
= 18 + 1
= 19
Two old RSM students were standing 10 ft apart when they spotted Mrs. Rifkin. If they immediately run in opposite directions at the speeds of 150 feet per minute and 160 feet per minute respectively, how many minutes will pass before they are 1870 feet apart?
Answer:
6
Step-by-step explanation:
Seeing that the two students are running aside from
each other. We can add the speeds together.
We can also subtract 10 feet from our goal of 1870
they are already feet apart.
1870ft / (150+1650) ft per min
we are left with our answer 6
Hope this helps!
Answer:
5.96 minutes :)
PLEASE HELP I WILL MARK YOU BRAINIEST
Answer:
y < 4
Step-by-step explanation:
2(5y-2) < 36
Divide both sides by 2.
5y-2 < 18
Add 2 to both sides.
5y < 20
Divide both sides by 5 to isolate y.
y < 4
In the formulae below, make x the subject:
1. a) P = 2mx
Answer:
x = P/2m
Step-by-step explanation:
x is the subject of the formula, and we can express it as: x = P / (2m)
How make x the subjectTo make x the subject in the formula P = 2mx, we can rearrange the equation to isolate x on one side.
Starting with the equation:
P = 2mx
To solve for x, divide both sides of the equation by 2m:
P / (2m) = (2mx) / (2m)
This simplifies to:
P / (2m) = x
Therefore, x is the subject of the formula, and we can express it as:
x = P / (2m)
Learn more about equation at https://brainly.com/question/29174899
#SPJ2
What is the area of the figure? I give brainliest! :)
Answer: I think it is 142
Step-by-step explanation:
91 + 51 = 142
true or false
There are four quartiles altogether,
Please help!!! Also if you could show work I need it!
Express the quantity of the Cayennepepper im lemon juice in form one
Answer:
HUH
Step-by-step explanation:
3, -12, 48, -192, ...
Find the common ratio for the geometric
sequence.
finding missing angles in triangles worksheet answers house
Step-by-step explanation:
What exactly are you looking for?
Nora measured a community college and made a scale drawing. She used the scale 3 millimeters : 2 meters. If a building at the college is 96 millimeters wide in the drawing, how wide is the actual building?
Answer:64 Meters
Step-by-step explanation:
what's up with all the answers with fake links that say something like "here is the answer click the link" and its not even a real link ???
Answer:
I dont even know lol
Step-by-step explanation:
Answer:
Like when its in a file? They just like to take your points
Step-by-step explanation:
Find the slope and y - i intercept of the line y = 4/3 * x - 3 .
Answer:
(2,-4)
hope this helps
Step-by-step explanation:
Answer:
slope: 4/3
y-intercept: -3
Step-by-step explanation:
the number before x is the slope.
the number at the end of the equation is the y-intercept.
200 miles divided by 8
Answer:
25
200 divided by 8 is 25.
Step-by-step explanation:
Find the perimeter of the semicircular region
22 mm
Answer:
The permiter is 22mm since its still the same
Step-by-step explanation:
Which of the following cannot be the side lengths of a triangle?
10, 12, 18
9, 9, 10
3, 11, 15
10, 15, 20
Answer:
3, 11, 15
Step-by-step explanation:
The two shorter sides add up to 14, which is smaller than 15, therefore making the triangle impossible as the sum of the two smaller sides have to be larger than the longest side
Karin has 7 more pieces of candy than Danny. Danny has d pieces of candy. Karin uses the expression 7 + d to figure out how many pieces of candy she has.
How many pieces of candy does Karin have if d = 4?
A. 2
B. 28
C. 3
D. 11
Answer:B
Step-by-step explanation:
If d=4 and Danny has 7 more peices all you have to do is multiply. 7x4 and that equals 28
So the final answer is 28 which is choice B
Will give BRAINLIEST if you help me out
24 x 2y = 210
and
2x + 2 =22
Work out the value of x and the value of y
Answer:
2x + 2 = 22
subtract 2 from both sides
= 2x = 20
x = 10
=======
24 x 2y = 210
subtract 24 on both sides
2y = 176
y = 88
Answer:
X=20
Y=\frac{35}{8x}
Step-by-step explanation: