Answer:
P (system will crash) = 0.101528
P(A and B jails / System crash) = 0.5390
Step-by-step explanation:
The complete question is as stated below
"Suppose a system has two modules, A and B , that function independently. Module A fails with probability 0.24 and Module B fails with probability 0.38 ,when the system is executed. When the system is executed, the system crashes with probability 0.05 if only Module A fails. The system crashes with probability 0.12 if only Module B fails. The system crashes with probability 0.60 if both Module A and Module B fail. The system crashes with probability 0.01 if neither fails.
(a) When the system is executed, what is the probability the system will crash?
(b) If the system crashes, what is the probability that both modules A and B crashed?"
Solution
P(A fails) = 0.24
P(B fails) = 0.38
P(A ∩ B) = P (A) * P (B) = 0.24 * 0.38 = 0.0912
P(only A fails) = P(A) - P(A ∩ B) =0.24 - 0.24*0.38 = 0.1488
P(only A fails) =P(B) - P(B ∩ A) = 0.38 - 0.24*0.38 = 0.2888
P(Both fails) = P(A) * P(B) = 0.24*0.38 = 0.0912
P(Neither fails) = P(A) * P(B) =1-(0.24+0.38-0.0912) = 0.4712
P(Add to 1)
a) P (system will crash) = 0.1488*0.05+0.2888*0.12+0.0912*0.6+0.4712*0.01 P (system will crash) = 0.101528
b) P(A and B jails / System crash) = 0.0912*0.6 / 0.101528
P(A and B jails / System crash) = 0.5390
solve equation of
5/2x=25/4
Answer:
x = 5/2
Step-by-step explanation:
Solve for x:
(5 x)/2 = 25/4
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (5 x)/2 = 25/4 by 2/5:
(2×5 x)/(5×2) = 2/5×25/4
Hint: | Express 2/5×5/2 as a single fraction.
2/5×5/2 = (2×5)/(5×2):
(2×5)/(5×2) x = 2/5×25/4
Hint: | Express 2/5×25/4 as a single fraction.
2/5×25/4 = (2×25)/(5×4):
(2×5 x)/(5×2) = (2×25)/(5×4)
Hint: | Cancel common terms in the numerator and denominator of (2×5 x)/(5×2).
(2×5 x)/(5×2) = (5×2)/(5×2)×x = x:
x = (2×25)/(5×4)
Hint: | In (2×25)/(5×4), divide 25 in the numerator by 5 in the denominator.
25/5 = (5×5)/5 = 5:
x = (2×5)/4
Hint: | In (2×5)/4, divide 4 in the denominator by 2 in the numerator.
2/4 = 2/(2×2) = 1/2:
Answer: x = 5/2
when rounding to the nearest hundred, what is the least whole number that rounds to 900?
Answer:
If you're rounding to the nearest 100, then 949 is the answer
Step-by-step explanation:
Answer:
945 is the answer
Step-by-step explanation:
because if you take it to the nearest 100 it will be 945
a- bx = c – dx; 5 – 3x = 1 – 4x
Need help
Answer:
there's a site called cymath you can put equations there and it answers almost all equations
Step-by-step explanation:
8 5/2 ÷ 1 3/4 please please please please please
Answer:
49/2
Step-by-step explanation:
Answer:
49/2 is ur answer hope i helped
Step-by-step explanation:
solve the following system by elimination x - 4y= 2 and 4x - 16y = 8
Answer:
0=0
or as separate equations:
y=1/2
X=4y+2
Explanation:
If we solve your system by elimination:
x−4y=2;4x−16y=8 -->
Multiply the first equation by -4,and multiply the second equation by 1.
−4(x−4y=2)
1(4x−16y=8)
Becomes:
−4x+16y=−8
4x−16y=8
Add these equations to eliminate x:
0=0
ion
On a coordinate plane, pre-image rectangle has points (0, 0), (6, 0), (6, negative 3), (0, negative 3. The image has points (0, 0), (2, 0), (2, negative 1), (0, negative 1).
Compare the ordered pairs of the pre-image to the image
Answer: It is being dilated by a scale factor of 1/3.
Step-by-step explanation:
The pre-image has the coordinates (0,0) (6,0) (6,-3) and (0,-3) and a transformation has been applied to it to get the coordinates of the image to be (0,0) (2,0) (2,-1) ( 0,-1)
Looking at the coordinates we can see that to get from 6 to 2 you will have to multiply by 1/3 and to get from -3 to -1 you will have to multiply by 1/3.
This means that pre-image was dilated by a scale factor of 1/3.
Answer:
Short answer: the pre-image was dilated by a scale factor of 1/3.
Step-by-step explanation:
can i get help with these 6 questions
Answer:
Question 21
∠PQS = 22°∠PQR = 44°Question 22
∠ABC = 47°∠CBD = 47°Question 23
∠ABD = 35°∠DBC = 35°∠ABC = 70°Step-by-step explanation:
When the question says a line bisects an angle which means that this line is cut exactly at the centre of an angle so both angles will be the same :
Question 21,
[tex]∠PQR = ∠SQR[/tex]
[tex]∠PQS = 22°[/tex]
[tex]∠PQR = ∠PQS + ∠SQR[/tex]
[tex]∠PQR = 22 + 22 = 44°[/tex]
Question 22,
[tex]∠ABD = 94°[/tex]
[tex]∠ABC = ∠CBD = 94 \div 2 = 47°[/tex]
Question 23,
[tex]∠ABD = ∠DBC[/tex]
[tex]x + 15 = 4x - 45[/tex]
[tex]4x - x = 15 + 45[/tex]
[tex]3x = 60[/tex]
[tex]x = 60 ÷ 3 = 20°[/tex]
[tex]∠ABD = 20 + 15 = 35°[/tex]
[tex]∠DBC = 4(20) - 45 = 35°[/tex]
[tex]∠ABC = ∠ABD + ∠DBC = 35 + 35 = 70°[/tex]
. Carlo’s Bakery is having a special where he packages 6 muffins together for a low price and
he packages 20 cookies together for a low price. His baker realized they sold the same amount
of muffins and cookies yesterday due to this great sale. What is the minimum amount of muffins
that were sole yesterday?
Answer:
60 muffins
Step-by-step explanation:
Muffins = 6 per package
Cookies = 20 per package
His Baker realized they sold the same amount of muffins and cookies yesterday
What is the minimum amount of muffins that were sold yesterday?
To find the minimum amount of muffins sold, find the lowest common multiple of 6 muffins per package and 20 cookies per package
6 muffins per package = 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84
20 cookies per package = 40, 60, 80, 100, 120
The lowest common multiple of of 6 muffins per package and 20 cookies per package is 60.
Therefore, the minimum amount of muffins sold yesterday was 60 muffins.
You want to paint a 15x15 ft room. How many gallons of paint will you need? A gallon covers 150 square feet.
Sandra has 6 grandchildren, and she gave each of them $24.50. How much money did she give to her grandchildren altogether
Answer:
147
Step-by-step explanation:
24.5x6 is 147 so she gives 147 in total
8. Jamad is training to run in a race. During the first week of training, he ran 5.5 miles. In the fifth week of training, he
was able to increase the distance he ran to 7.04 miles. By what percent was he able to increase his running
distance?
Gabriella combines 7.63 ounces of strawberries with 5.26 ounces of blueberries to make fruit bowls. She pours the fruit equally into 2 bowls, and has 1.37 ounces of fruit left over. How many ounces of fruit are in each bowl
Answer:
5.625
Step-by-step explanation:
1.) Add the strawberries and blueberries together
7.63 + 5.36 = 12.622.) Subtract 1.37
12.62 - 1.37 = 11.253.) Divide by 2
11.25 ÷ 2 = 5.625R 1. Missy knows that she needs $40,000 for a down payment on a house. She found an investment that earns 3.05% interest compounding monthly. She would like to purchase the home in 5
years. How much should she put in the account now to ensure she has her down payment? (1 point)
$27,770.97
$34,349.00
$8,872.33
$48,580.69
Answer:
$27,770.97
Step-by-step explanation:
Maura is jogging on her treadmill. She runs 2.25 miles in 1/2 of an hour. At that speed, how many miles could Maura run in 1 1/2 hours?
Answer:
6.75 miles
Step-by-step explanation:
Since it is 2.25 per 1/2 hour to get to 1 1/2 hour you multiply by 3. Then you do 2.25 times 3 and it gives you 6.75 miles.
If 6 is subtracted from x and this quantity is then divided by 2, the result is y.
Which of the following equations represents the statement above?
Answer:
C
Step-by-step explanation:
Follow the order in the question
x-6
then is divided by 2 so put it all over 2
Tina had $40. She spent 1/4 of her money on a new purse. She paid her mother$5 she borrowed she spent $5.75 on hair ribbons. How much change she had left?
Answer:
$19.25
Step-by-step explanation:
4/4-1/4=3/4
=3/4×40
=30-5
=25-5.75
=$19.25
what is one more than -5
Answer:
-4
Step-by-step explanation:
because negative numbers count up the opposite way
The distance between two locations on a map is 6 centimeters (cm). If 1 cm on the map corresponds to an actual distance of 15 miles, what is the actual distance, in miles, between the two locations?
A. 0.4
B 2.5
C 90
D 150
Answer:
C 90
Step-by-step explanation:
[tex](\frac{15miles}{1cm} )*6cm=15miles*6=90miles[/tex]
answer is c
}Which number is larger: -2 or -5?
Answer:
-2 is larger, -2>-5
Evaluate 8 ÷ -2 · 42 + 9. -100 -55 73 -23
Steps to solve:
8 / -2 * 42 + 9
~Divide
-4 * 42 + 9
~Multiply
-168 + 9
~Add
177
Best of Luck!
The simplified expression is equivalent to -159.
Given is an expression 8 ÷ -2 · 42 + 9, we need to simplify it,
To evaluate the expression 8 ÷ -2 · 42 + 9, we need to follow the order of operations, which is typically remembered using the acronym PEMDAS.
In this case, we should first perform the multiplication and division, and then the addition.
Starting with the multiplication and division:
8 ÷ -2 = -4
-4 · 42 = -168
Now we can add the result to 9:
-168 + 9 = -159
Therefore, the evaluation of 8 ÷ -2 · 42 + 9 is -159.
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The cost for copying a document is a function of the number of pages in the document. In this situation, what is the dependent variable?
Answer:
the cost is the dependent variable
Step-by-step explanation:
The independent variable is the number of pages copied
The cost depends on the number of pages, so the cost is the dependent variable
−3(x + 3) = −3(x + 1) − 5
Expand:
-3x - 9 = -3x - 3 - 5
Simplify:
-3x - 9 = -3x - 8
Add 3x to both sides:
-9 = -8
THERE IS NO VALUE FOR X THAT MAKES THIS EQUATION TRUE
OMG SOMEONE HELPP!!!
what is -0.5 repeating as a fraction in simplest form
Answer:
-5/9
Step-by-step explanation:
-0.5555555555 repeating = -5/9
Answer:
-5/9
Step-by-step explanation:
5 divided by 9 equals 0.5555
The figure shows a ladder leaning against a wall, forming a triangle. What is the value of x in the figure?
A. -66 degrees
B. 9 degrees
C. 180 degrees
D. 24 degrees
Which statement describes the relationship between the line graphs of the equations below? y = −2 x + 4 y = 1/2x + 4 a. The line graphs are the same line. b. The line graphs are parallel lines. c. The line graphs are perpendicular lines. d. The line graphs intersect, but are not perpendicular.
Answer:
You can tell from the picture
Step-by-step explanation:
they intercept
What is the equation of the line with a slope of -2/3 through the point (-5, 2)?
◽=◽+◽
Answer:
Step-by-step explanation:
Select the term that is suggested by the figure. Then state whether the term is an undefined term or a defined term.
The pencil suggests the term...
Line segment
Point
Ray
^(those are the options)
Which is ....
An undefined
A defined
Answer:
Step-by-step explanation:
A pencil in the picture shows a segment with a definite length.
We may get confused with the difference in a line and segment.
A line is defined by a line of points that extends infinitely.
That means both the ends of a line are not defined.
But a segment is a part of line which has a definite length between two defined ends.
Therefore, unsharpened pencil defines the term line segment which is a defined term.
Answer:
The unsharpened pencil suggests the term line segment, which is a defined term.
If JM = 5x – 8 and LM = 2x – 6, which expression represents JL?
Answer:
5x-8=2x-6
Step-by-step explanation:
It’s a property but I forgot which one.
One quarter has a mass of 5.67 grams. Which is the mass of two rolls of quarters each containing 40 quarters? how much is it?
Answer:
453.6
Step-by-step explanation:
226.8 x 2 = 453.6
The mass of two rolls of quarters is 453.6 grams.
It is required to find the mass of two rolls of quarters.
What is arithmetic?The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.
Given:
One quarter has a mass of 5.67 grams
mass of each quarter=40 quarters
The mass of 80 quarters will be 80 times the mass of 1 quarter:
80 × 5.67 g = 453.6 g
Hence, the mass of two rolls of quarters is 453.6 grams.
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