Answer:
0.9929 = 99.29% probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials
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.
What is the probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials?
2.45 standard deviations above the mean is Z = 2.45, so this probability is the p-value of Z = 2.45.
Looking at the z-table, Z = 2.45 has a p-value of 0.9929.
0.9929 = 99.29% probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials
WILL
GIVE
BRAINLIST ANSWER
Answer:
22 is the range for the data set.
stay safe healthy and happy.A litter of kittens consists of two gray
females, one gray male, two black
females, and two black males. You
randomly pick one kitten. The kitten is
gray or male.
the kitten would be gray
Which of these could be the graph of F(x) = 3 • (0.5)^x?
The graph of F(x) = 3 • (0.5)^x is represented by the third graph in the image. The correct option is C.
What is a graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The graph of the function is cutting an intercept at point 3 at the y-axis and is lying about the x-axis. The graph of the function is attached with the answer below.
Therefore, the graph of F(x) = 3 • (0.5)^x is represented by the third graph in the image. The correct option is C.
To know more about graphs follow
https://brainly.com/question/25020119
#SPJ5
helppppp! how do I find this?
Answer:
y=3x-6
Step-by-step explanation:
(2,0). y=mx+b or 0=3 × 2+b, or solving for b: b=0-(3)(2). b=-6.
(3,3). y=mx+b or 3=3 × 3+b, or solving for b: b=3-(3)(3). b=-6.
Plugging in the two points from the graph.
Hence, y=3x-6
State if the triangles in the pair are similar. If so, complete the similarity statement
Answer:
they similar
triangle SRQ - SBC
Answer:
similarity statement =RS/BS=QS/CS=RQ/BC OR,
triangle RSQ≅triangle BSC
Step-by-step explanation:
consider the series 10 j-2 (-2j+1)
Answer:
Option C
Step-by-step explanation:
Given expression for the series is,
[tex]\sum_{j=2}^{10}(-2j+1)[/tex]
Here, j = Numbers of terms (from 2 to 10)
By substituting j = 2 to 10 we can find the terms of the series.
2, 3, 4, 5, 6, 7, 8, 9, 10
So the number of terms in the given series = 9
Option C will be the correct option.
susan has a total of 31 books. amy has four less than seven times the number of books compared to susan. write an equation for this situation.
Answer:
213
Step-by-step explanation:
(31x7)-4
I need answer tho this please help me
Answer:
there is two diagram 2,3, 4 and 5 this is the answer give
A translation is applied to the triangle formed by the points A (-1,4), B(-1,10), and C(3,6). The image is the triangle that has vertices. A’(3,4), B’(3,10), and C’(7,6).
The triangle was translated…
The answers:
4 units to then left
4 units up
4 units to the right
4 units down
In the image, two circles are centered at A. The circle containing was dilated to produce the circle containing B!
What is the scale factor of the
dilation?
O A. 1
OB. 2
OC. 0.5
OD.
-0.5
A boat travels 120 miles with the current down the river in less time than it takes to travel 80 miles against the current up the river. The boat makes the entire trip in 12 hours. The speed of the boat, without the current, remains constant at 20 miles per hour what is the speed of the current.
Answer:
180 miles is answer
cuz it takes 80 miled to travel in 12 hours
Answer:
The speed of the current is 10 mph
Step-by-step explanation:
x= speed of the current
[tex]\frac{80}{20-x} + \frac{120}{20+x} = 12[/tex]
80 (20+x) + 120 (20-x) = 12 (20-x) (20+x)
x=10
Which of the following is NOT a way to write a probability?
O Decimal
O Percent
O Fraction
O Mr. Eisenberg
Please help quickly as possible thank you! :)
Answer:
329.5ft
Step-by-step explanation:
First one: ((4+18+26)x10)/2
Second: +(18x4)
Third: (7x5)/2
=240+72+17.5
=329.5
Find the circumference of the coin. Use 3.14 or 22/7 for pi. Remember to have the correct units.
1) Show work on how you got your answer!
2) NO LINKS!
3) NO silly answers!
~Hocus Pocus
Answer: 12.56 cm
Step-by-step explanation:
Pi looks like this π or 3.14 or 22/7
A formula for circumference is: C = 2π r
The radius or r listed in the diagram is 2cm.
1) Plug r into the equation...
C = 2π 2
2) Simplify the equation
C = 4π
3) You can insert 4π to be exact in a calculator or do 4 x 3.14 (its still the same thing but you have to round if you are using this π)
However both answers come out to be 12.56
The equation y+6=1/3(x-9) is written in point- slope form. What is the equation written in slope-intercept form?
Your answer would be option three, y = 1/3 x -9 :)
Find the volume of a pyramid with a square base, where the perimeter of the base is 10.4\text{ in}10.4 in and the height of the pyramid is 9.6\text{ in}9.6 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
21.6in^3
Step-by-step explanation:
\text{Volume of Pyramid:}
Volume of Pyramid:
V=\frac{1}{3}Bh
V=
3
1
Bh
Where B is the area of the base
\text{Perimeter of base}:
Perimeter of base:
\,\,10.4
10.4
\text{Side length of base}:
Side length of base:
\,\,\frac{10.4}{4}=2.6
4
10.4
=2.6
Divide perimeter of square by 4 to get side length
\text{Area of base}:
Area of base:
\,\,2.6^2=6.76
2.6
2
=6.76
Area of a square is s^2
B=
B=
\,\,6.76
6.76
h=
h=
\,\,9.6
9.6
given
V=
V=
\,\,\frac{1}{3}Bh
3
1
Bh
V=
V=
\,\,\frac{1}{3}(6.76)(9.6)
3
1
(6.76)(9.6)
Plug in
V=
V=
\,\,21.632
21.632
V\approx
V≈
\,\,21.6\text{ in}^3
21.6 in
3
what is
1/3 x (15+6)
Answer:
First, you do 15+6 (because of the parentheses)
You get 21
then you have to do 1/3 times 21 and you get 7
Answer:
7
Step-by-step explanation:
Using BODMAS which stands for:
(Bracket, of, Division, Multiplication, Addition and Subtraction)
We first treat the bracket
(15+6)=21
We then treat the division
(but it is already reduced to its lowest terms therefore no need, but if you like you can reduce it to a decimal though)
[tex]\frac{1}{3}[/tex]
Then we move onto the multiplication which is the last part
[tex]\frac{1}{3}[/tex] ×21= [tex]\frac{21}{3}[/tex] =7
HELPPPPPPP PLEASE. IM SO CONFUSED IM WEIRD
I think that the answer is A.
Help!!!
A) Mode
B) Mean
C) Median
Answer:
Median
Step-by-step explanation:
Median will be misleading are not asking for the midd;e price they are asking for the average price in this case you will use mean to find
what is 3 /8 times 4/7 in simplest form
Answer:
3/14
Step-by-step explanation:
10 (-2 + 3y) + 8y = -20
if sides of a triangle have lengths 8 ft and 12 ft.
Answer:
[tex]20 > c > 4[/tex]
Step-by-step explanation:
Given
[tex]Sides =8\ and\ 12[/tex]
Required
The third side
To do this, we make use of the triangle inequality theorem which implies that:
[tex]a + b > c[/tex]
[tex]a + c > b[/tex]
[tex]b + c > a[/tex]
Where
[tex]a,b,c\to sides[/tex]
So, we have:
[tex]8 + 12 > c[/tex]
[tex]8 + c > 12[/tex]
[tex]12 + c > 8[/tex]
Solve all inequalities
[tex]8 + 12 > c[/tex]
[tex]20 > c[/tex]
[tex]8 + c > 12[/tex]
[tex]c > 4[/tex]
[tex]12 + c > 8[/tex]
[tex]c > -4[/tex]
Ignore negative inequalities.
So, we have:
[tex]20 > c[/tex] and [tex]c > 4[/tex]
Combine
[tex]20 > c > 4[/tex]
The above implies that the third length is between 5 and 19 (inclusive)
Q3) There are 200 passengers on a plane. 84 of them are women and 12 are children.
What percentage of them are:
a) women
b) children
c) neither women nor children?
URGENT NEED THIS DONE FAST LINKS WILL BE REPORTED
[tex]\pink{\bold{\underline{\underline{hello ♡}}}}[/tex]
Since 2x = 6, we have to divide each side by 2 to find x.
6÷2= 3
Our answer is 3.
Enter the values for the highlighted variables to
complete the steps to find the sum:
az
b =
3x 9
+
2x - 6 6 - 2x
CE
d =
3 x
9
+
2x-6 al 2x-6)
3x b.
+
2x-6 2x - 6
3х – с
2x-6
d{x - e)
f(x-3)
= 9
e =
f=
III
g=
DONE
Answer:
a = - 1
b = - 9
c = 9
d = 3
e = 3
f = 2
g = 3/2
Step-by-step explanation:
For a;
6 - 2x = - (2x - 6)
For b;
-1 * 9 = - 9
For x ;
3x + (-9) = 3x - 9
3x - 9 = d(x - e)
Factorizing :
3(x - 3)
d = 3 ; e = 3
2x - 6 = f(x - 3)
Factorize :
2x - 6 = 2(x - 3)
3(x - 3) / 2(x - 3)
g = 3/2
Suppose a call center receives 4000 calls on average during their Friday evening shift. Next Friday several people have put in for time off, so the center will be staffed by 178 call center employees. When working continuously, the average call center employee can handle 22 calls per evening shift (with a standard deviation of 5 calls). Assuming the center receives its expected 4000 calls next Friday, what is the probability that the center will have enough employees to handle this call volume
Answer:
The probability that the center will have enough employees to handle this call volume is 0.2764
Step-by-step explanation:
Probability is defined as the ratio of favorable outcomes to the total number of outcomes.
Here the total mean expected number of outcomes=u = 4000
The favorable expected outcomes are = x= 22* 178= 3916
The standard deviation= σ= 5
The random variable X =178 has normal distribution with mean 4000/22 and standard deviation 5
So z= x-u/σ
Z= (3916-4000)/22/5
z= -0.764
From the table of areas under normal curve
P ( x= 3916)= P( -0.764 ≤ Z≤ 0)
P ( x= 3916)= 0.2764
The probability that the center will have enough employees to handle this call volume is 0.2764
Find the inverse for each relation:
1. {(1,-2), (2, 3),(3, -3),(4, 2)}
Answer:
the inverse for each relation:
1. {(1,-2), (2, 3),(3, -3),(4, 2)} is
{(-2,1),(3,2),(-3,3),(2,4)}.
the product of 6 less than a number and 4 more than the
number
Answer:
(x-4)(x+8)
Step-by-step explanation:

Pls someone help me
Twenty times the square of a non-zero number is equal to 20 times the number.
Answer:
the number could be 0 or 1
Step-by-step explanation:
20x² - 20x = 0
20x(x - 1) = 0
20x = 0
x = 0
x-1 = 0
x = 1