The probability that a computer will not crash in a period of 4 months is 0.632.There is a 75% chance that the computer will not crash in a period of 4 months.
To solve this problem stepwise, first calculate the probability that the computer will crash in a given month. This can be done by using the Poisson distribution. The probability that the computer will crash in a given month is 0.0333.
Next, calculate the probability that the computer will not crash in a given month. This is simply 1 - 0.0333, or 0.9667.
Now, to calculate the probability that the computer will not crash in a period of 4 months, simply take the probability of not crashing in a given month and raise it to the 4th power. This gives us a probability of 0.632.
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A lines Y intercept is changed from -1 to 0 which way did it shift
By studying the change of the y-intercept, we can see that the shift is of one unit upwards.
In which way did the line shift?
We know that the original y-intercept of the line is y = -1, then the line is of the form:
y = a*x - 1
Where a is the slope.
Now we apply a vertical shift of N units, this is written as:
y = a*x - 1 + N
And we know that the new y-intercept is 0, so:
y = a*0 - 1 + N = 0
y = -1 + N = 0
-1 + N = 0
N = 1
The shift is of 1 unit up.
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A 2-pint carton of non-dairy creamer costs $3.36. What is the price per cup?
Answer:
$6.72
Step-by-step explanation:
1 us liquid pint =2 us cups
3.36*2 cups
18. Richard measured a house and its lot and made a scale drawing. The scale of the drawing was 1 inch: 2 feet. The backyard is 74 feet long in real life. How long is the yard in the drawing?
The length of backyard in drawing is 37 inch when 74 feet long in real life and scale of drawing is 1 inch: 2 feet.
What is proportion?A proportion is a form of ratio in which the denominator also contains the numerator. For example, the fraction of male deaths would be deaths to men divided by deaths to males + deaths to females (i.e. the total population). A population proportion is a percentage of the population that possesses a specific feature. Assume you have 1,000 persons in your population, with 237 of them having blue eyes. Blue eyes account for 237 of every 1,000 persons, or 237/1000.
Here,
as the given scale is 1 inch: 2 feet.
actual length of backyard=74 feet
length of backyard in drawing is x inch,
1/2=x/74
2x=74
x=37 inch
The length of the backyard in the drawing is 37 inches, although it is 74 feet long in real life, and the scale of the drawing is 1 inch: 2 feet.
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What is an equation of the line that passes through the points (-4, -3) and (8, 6)?
Answer: [tex]y=\frac{3}{4} x[/tex]
Step-by-step explanation:
We will create a point-slope equation to solve.
First, we need to find the slope.
[tex]\displaystyle \frac{y_2-y_1}{x_2-x_1}= \frac{6--3}{8--4} =\frac{9}{12} =\frac{3}{4}[/tex]
Next, we will create our point-slope equation.
[tex]\displaystyle y-y_1=m(x-x_1)[/tex]
[tex]\displaystyle y--3=\frac{3}{4} (x--4)[/tex]
[tex]\displaystyle y+3=\frac{3}{4} (x+4)[/tex]
[tex]\displaystyle y=\frac{3}{4} x+3 -3[/tex]
[tex]\displaystyle y=\frac{3}{4} x[/tex]
write a congruence statement for the pair of triangles
The concurrency statement for the given triangles is that (D) △RGB ≅ △DCS under ASA condition.
What is the congruency of triangles?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.If two triangles satisfy one of the following conditions, they are congruent: The three corresponding side pairings are all equal. The comparable angles between two pairs of corresponding sides are equal. The corresponding sides between two pairs of corresponding angles are equal.So, the congruence statement of the given 2 triangles is as follows:
△RGB ≅ △DCS
∠G = ∠CGB = CS∠B = ∠SHence, △RGB ≅ △DCS under ASA condition.
Therefore, the concurrency statement for the given triangles is that (D) △RGB ≅ △DCS under ASA condition.
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There are 11,357 pets in a town that has a population of 47,500. What is the number of pets per capita?
Round your answer to 2 decimal places.
The number of pets per capita is 0.24
Given,
Number of pets in a town = 11,357
Population of the town = 47,500
We have to find the number of pets per capita;
Per capita;-
The Latin phrase "per capita" means "by head." It is used to calculate the average for each individual in a certain measurement. Per capita is frequently used, for instance, to calculate a population's per capita gross domestic product (GDP).
Here,
Number of pets per capita = Number of pets / Population
Number of pets per capita = 11,357 / 47,500
Number of pets per capita = 0.24
That is,
The number of pets per capita is 0.24
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Triangles UVW and VUX are congruent identifier common sides are angles.
Answer:
Common side: UV
Step-by-step explanation:
Given that D( x ) = 2 x , select all of the following that are true statements. D( x ) is a direct variation. D( x ) is a function. D( x ) is a rule for the set of points (5, 10), (6, 12) and (-2, -4). x is the dependent variable. D(6) = 3 1 Attempts Remain
D( x ) function and also a rule for the set of points (5, 10), (6, 12), and (-2, -4). Both the statment is true.
Given that,
Among the options which statment best represents the expression D(x) = 2x is to be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
D(x) = 2x
As from the observation D(x) is a function of the independent variable x.
Also,
At x = 5, 6, -2
D(x) = 10, 12, -4
So it is also a rule for the set of points (5, 10), (6, 12), and (-2, -4).
Thus, the D( x ) function and also a rule for the set of points (5, 10), (6, 12), and (-2, -4). Both the statment is true.
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a box has a width of 15 inches and a length of 16 inches. the volume of the box is increasing at a rate of 569 cubic inches per second, with the width and length being held constant. what is the rate of change, in inches per second, of the height when the height is 6 inches?
The rate of change in height when height is 6 inches is 2.37 inches per second approximately.
We know that the volume of cube with length L, width W and height H is given by,
V = L*B*H
So given that the length is 15 inches
the width is 16 inches
Let the height be h inches.
So now the volume is given by,
V = 15*16*h
Differentiating the volume with respect to time 't' we get,
dV/dt = 15*16 dh/dt
Now given that the rate of change in volume per second is 569 cubic inches.
So, dV/dt = 569
So, 15*16 dh/dt = 569
dh/dt = 569/(15*16) = 569/240 = 2.37 (approx)
So the rate of change in height is 2.37 inches approximately.
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Which of the following best describes the ordered pairs listed below? (-2, -1), (1, -4), (5, -8), (9, -12) A. function only B. both a relation and a function C. relation only D. neither a relation nor a function
Since each input is mapped to only one output, the best description of the ordered pairs is given by:
B. both a relation and a function.
When does a relation represents a function?
A relation represents a function if each value of the input is mapped to only one value of the output.
For a point in the format (x, y), we have that:
=> x is the input.
=> y is the output.
=> The meaning is that the input x is mapped to the output y.
For this problem, the points are given as follows:
(-2, -1), (1, -4), (5, -8), (9, -12)
Each input is mapped to only one input, that is, there are no repeated values of x, hence the best description of the ordered pairs is given by:
B. both a relation and a function.
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can someone solve this?
Find the values of the variables and the measures of the angles.
Answer:
x = 52°
y = 25°
z = 90°
Step-by-step explanation:
We know there are 180 degrees in a triangle. The box represents 90 degrees.
90° + x + 38° = 180°
x + 128° = 180°
x = 52°
Next, we know that a straight line is equal to 180 degrees. Again, the box represents 90 degrees.
90° + z = 180°
z = 90°
Lastly, we will use the same process for angle x, but for angle y.
y + z + 65° = 180°
y + 90° + 65° = 180°
y + 155° = 180°
y = 25°
720 divided by 50 gives the same answer as x divided by 100
what is the value of X
Answer:
Value of x is 1440
Step-by-step explanation:
According to the question,
720 ÷ 50 gives same answer as x ÷ 100
[tex] \therefore[/tex]
[tex] \rm \implies \dfrac{720}{50} = \dfrac{x}{100} \\ \\ \rm \implies x = \frac{720}{50} \times 100 \\ \\ \rm \implies x = 720 \times 2 \\ \\ \rm \implies x = 1440[/tex]
Here are the first 4 terms of a sequence.
3 9 15 21
a) (i) Write down the next term in the sequence.
(ii) Explain how you got your answer.
b) Work out the 10th term of the sequence.
Rotate the yellow dot to a location of two pi radians. After you rotate the angle, determine the value of cos 2pi, to the nearest hundredth.
Answer:
Step-by-step explanation:
Please help, what is the common side of the triangles ABC and DCB?
BC is the common side of both the triangles.
Answer:
BC
Step-by-step explanation:
Common side in both triangles is BC
Sides of ΔABC,
AB ; BC and AC
Sides of ΔDCB,
DC, BC and DB
if an audit company picks a bank at random for audit what is the probability that a bank (a) is guilty of fraud? (b) is guilty of fraud given it is a private bank? probability problem
The probability of the randomly selected bank being a) guilty of fraud is 0.1 and b) guilty of fraud, it is given it is a private bank is 0.15
Here
let A be the event of the Bank being a fraud
Let B be the event of the bank being private
Here we see that 100 banks have been sampled.
a)
Probability = no. of favorable outcomes/total no. of outcomes
Here we see that under the row of Bank Fraud and Yes section there are
6 + 4
= 10 banks.
Hence,
n(A) = 10
n = 100
Therefore,
P(A) = 10/100
= 0.1
b)
The conditional Probability
P(X|Y) = P(X ∩ Y) / P(Y)
Here,
we need to find the bank is a fraud given that it is a private bank. Hence we need to find,
P(A|B)
= P(A ∩ B) / P(B)
Here we see that the private banks that are fraud are given to be 6.
Hence,
n(A ∩ B) = 6
Therefore,
P(A ∩ B) = 6/100
n(B) = 6 + 34 = 40
P(B) = 40/100
Hence P(A|B) = (6/100) / (40/100
= 6/40
= 3/20
= 0.15
Complete Question
(Information attached as an image)
if an audit company picks a bank at random for audit what is the probability that a bank
(a) is guilty of fraud?
(b) is guilty of fraud given it is a private bank?
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Write equations of the horizontal and vertical lines that pass through (-3,12).
Answer:
horizontal line: y = 12
vertical line: x = -3
Step-by-step explanation:
The horizontal line has 12 as the y-coordinate for all its points.
y = 12
The vertical line has -3 as the x-coordinate for all its points.
x = -3
Answer:
x = -3
y = 12
Step-by-step explanation:
For a point (x, y):
The first number represents the point's position on the x-axis.The second number represents the point's position on the y-axis.A horizontal line is represented by the equation y = a where (0, a) is the y-intercept of the line.
A vertical line is represented by the equation x = a where (a, 0) is the x-intercept of the line.
Therefore, for the given point (-3, 12):
x = -3y = 12A sphere has a diameter of 24 mm.
What is the volume of the sphere?
O 487 mm³
O 1927 mm³
O 23047 mm³
O I don't know.
The volume of the sphere is 7241.142 m[tex]m^{3}[/tex].
Given:
A sphere has a diameter of 24 mm.
Radius r = diameter/2
= 24/2
r = 12 mm.
volume of sphere = 4/3π[tex]r^{3}[/tex]
= 4/3 * 22/7 * [tex]12^{3}[/tex]
= 88*[tex]12^{3}[/tex]/21
= 88*1728/21
= 152064/21
= 7241.142 m[tex]m^{3}[/tex].
Therefore the volume of the sphere is 7241.142 m[tex]m^{3}[/tex].
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7. If f(x) = -3x² + 2x - 1 and f(x) = -1, solve for x.
The required values are x=0 and x=2/3.
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
f(x) = -3x² + 2x - 1
Substitute f(x) = -1
-1 = -3x² + 2x - 1
-3x² + 2x - 1+1=0
-3x² + 2x = 0
x( -3x+2)=0
=> x=0,
-3x+2 = 0
-3x=-2
x=2/3
The required values are x=0 and x=2/3.
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Write a function that describes the area of the water puddle on the floor as a function of its radius. Use function notation
The formula that plots the radius against the area of such water puddle here on floor; A = πr².
Describe the term surface area?The area is the area occupied by just a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space occupied by its outer surface. A three-dimensional structure with parallel circular bases is characterized as a TA cylinder. There are no vertices on it. Area of three-dimensional shapes mainly refers to surface area.For the given question,
Let the area of the water puddle on the floor be 'A'.
Let the radius of the water puddle be 'r'.
Then, using the area of the circle,
The function for the area of the water puddle be,
A = πr²
Thus, the formula that plots the radius against the area of such water puddle here on floor; A = πr².
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A dam has a floodgate. When it is open, it lets out 10,000 gallons of water per minute.
How many gallons of water will it let out in 10 minutes?
A. 1,000
B. 10,000
C. 100,000
D. 1,000,000
Answer: C. 100,000 gallons
Step-by-step explanation:
10,000 gallons a minute.
10 minutes.
10,000 x 10 = 100,000.
Gallons: 10,000 20,000 30,000 40,000 50,000 60,000
Minutes: 1 2 3 4 5 6
... 70,000 80,000 90,000 100,000
... 7 8 9 10
What is the slope of the line that contains points (2, 9) and (8, 7)?
Answer:
-1/3
Step-by-step explanation:
m = y2-y1/x2-x1 formula for slope
m = 7-9/8-2 Plug in the numbers
m = -2/6 Subtract 7-9 and 8-2
m = -1/3 Simplify
What is the m (See image)
From the given figure, m∠AEB = (3x + 54)° and m∠DEC = (7x -30)°, then the measure of angle AEB is equal to 117°.
As given in the question,
For the given figure,
Two lines AC and BD intersect each other at point E.
Measure of angles in the form of x is given as :
m∠AEB = (3x + 54)°
m∠DEC = (7x -30)°
∠AEB and ∠DEC are vertically opposite angles.
⇒m∠AEB = m∠DEC
⇒ (3x + 54)°= (7x -30)°
⇒ 7x - 3x = ( 54 + 30 )°
⇒ 4x = 84°
⇒ x = 21°
Hence,
m∠AEB = (3x + 54)°
⇒m∠AEB = (3(21) + 54)°
⇒m∠AEB = 117°
Therefore, from the given figure m∠AEB = (3x + 54)° and
m∠DEC = (7x -30)°, then the measure of angle AEB is equal to 117°.
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SKIING Gavin is working on an animated film about skiing. The figure shows a ski slope, represented by AB, and one of the chairs on the lift, represented by point C
Answer:
The value of x=35 and the co-ordinates at the top of the chair lift are (35,20).
What are co-ordinates?
Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x axis (horizontal) and y axis are the two axes that make up a coordinate plane (vertical).Step-by-step explanation:
Given:
20 = 1/2x + 5/2
20 * 2 = x + 5
40 = x + 5
x = 35
Therefore, the co-ordinates of the chair at the top of the chair lift are (35,20)
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Write a linear function f with f(-10) = 4.5 and f(-2)=4.5.
Answer:
plsssssssssssssssssssssssssssssssssss
24m/s into mph. If your answer is a decimal, give it to 1 d.p
24 meters per second = 53.6865 miles per hour
53.6865 to 1 d.p = 53.7
Answer: 53.7
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The time taken to reach the maximum height is 1.25 seconds and the maximum height is 32 feet
The function is given that
h(t) = + 40t + 7
Where h is the height
t is the time taken
We know
[tex]-16t^2[/tex] + bx + c = 0
Compare the equations
a = -16
b = 40
c = 7
Compare both the equation
Time taken to reach maximum height = - b/2a
= - 40/2(-16)
= - 40/-32
= 5/4
= 1.25 seconds
Time taken to reach maximum height is t = 1.25 seconds
Substitute the value of t in the function to find the maximum height
h(1.25) = -16× + 40(1.25) + 7
= -25 + 50 + 7
= 32 feet
Hence, the time taken to reach the maximum height is 1.25 seconds and the maximum height is 32 feet
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bill, phil, and jenny are siblings. bill is twice as old as phil. jenny is two years younger than bill. currently, their dad is twice as old as the sum of their ages. in nine years, dad's new age will be equal to the sum of his three kids' new ages. what is jenny's current age?
The current age of Jenny is 6 years.
Let the current age of Phil be = x years
So the current age of Bill is = 2x years
The current age of Jenny is = 2x-2 years
Sum of their ages is = x+2x+2x-2 = 5x-2 years
Now the age of their dad is = 2(5x-2) = 10x-4 years
Now after nine years,
Age of Phil = x+9
Age of Bill = 2x+9
Age of Jenny = 2x-2+9 = 2x+7
Sum of their ages = x+9+2x+9+2x+7 = 5x+25
New age of their father = 10x-4+9 = 10x+5
According to question, the required linear equation to solve the question is,
5x+25 = 10x+5
5x = 20
x = 4
Hence the Jenny's current age = 2*4-2 = 8-2 = 6 years
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In the figure, m<7=100 degrees. Find the measure of each angle.
22.) <6
23.) <8
24.) <2
25.) <5
26.) <11
The corresponding measure of each angle is 80, 80, 80, 100 and 100 degrees
How to determine the measure of each angle?
Given: m<7=100 degrees
To find <6, <8, <2, <5 and <11
In the <7 is vertically opposite <5. Since vertically opposite angles are equal.
Thus, <5 = <7 = 100 degrees
Also, <5 and <6 are angles on a straight, and the sum of angles on a straight line is 180 degrees. Thus:
<5 + <6 = 180
100 + <6 = 180
<6 = 180 -100 = 80 degrees
Also, <6 and <8 are vertically opposite.
Thus, <8 = <6 = 80 degrees
<2 and <6 are corresponding angles, and corresponding angles are equal. Thus, <2 = <6 = 80 degrees
Likewise, <11 and <7 are corresponding angles
Thus, <11 = <7 = 100 degrees
Therefore, the measure of angle <6, <8, <2, <5 and <11 are 80, 80, 80, 100 and 100 degrees respectively
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what is 10x - 5 = 105
Answer:
x =11
Step-by-step explanation:
report this so that girl in the comments can give you an answer
Answer: -50
Step-by-step explanation:
