Answer:
108 x 25² divided by 2⁶ x 5² is equal to [tex]42\frac{3}{16}[/tex]
Step-by-step explanation:
Given;
108 x 25² divided by 2⁶ x 5²
The expression is simplified as follows;
[tex]\frac{108\times 25^2}{2^6 \times 5^2} = \frac{108\times 625}{64\times25} =\frac{675}{16} = 42\frac{3}{16}[/tex]
Therefore, 108 x 25² divided by 2⁶ x 5² is equal to [tex]42\frac{3}{16}[/tex]
An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is y 0 1 2 3 4 p(y) 0.50 0.20 0.15 0.10 0.05 Suppose an individual with Y violations incurs a surcharge of 100Y 2 . Calculate the expected amount of the surcharge
Answer:
1) The expected value of the number of moving violations for which the individual was cited during the last 3 years is 1
2) The expected amount of surcharges is $250
Step-by-step explanation:
Given that;
Y 0 1 2 3 4
p(y) 0.50 0.20 0.15 0.10 0.05
1)
Value of E(Y)
E(Y) = (0×0.50) + ( 1×0.20) + ( 2×0.15) + (3×0.10) + (4×0.05)
= 0 + 0.20 + 0.3 + 0.3 + 0.2
E(Y) = 1
Therefore, The expected value of the number of moving violations for which the individual was cited during the last 3 years is 1
b)
Suppose an individual with Y violations incurs a surcharge of $100Y² , the expected amount of the surcharge is given by,
E($100Y²) = 100E(Y)²
= 100∑Y²P(y)
= 100(0²×0.50) + ( 1²×0.20) + ( 2²×0.15) + (3²×0.10) + (4²×0.05)
= 100( 0 + 0.2 + 0.6 + 0.9 + 0.8 )
= 100(2.5)
= $250
Therefore; The expected amount of surcharges is $250
Noah's cousin is exactly 7 years younger than Noah. Let C represent Noah's cousin age and N represent Noah's age. Age is measured in years.
1. Write a function that defines the cousins age as a function of Noah's age.
2. What variable represents the input of this function?
3. What variable represents the output of this function?
4. Write the inverse of the function you wrote.
5. What variable represents the input of the inverse function?
6. What represents the output of the inverse function?
Answer:
1. f(N) = C ,where C = N - 7
2. The input of the function is x = N
3. The output of the function = y = C = N -7
4. F(C) = N where N = C - 7
5. Input of the inverse function = C
6. Output of the inverse function = N = C - 7
Step-by-step explanation:
Let Noah's cousin age = C
and Noah's age = N
As given ,Noah's cousin is exactly 7 years younger than Noah.
⇒ C = N - 7
a.)
As we know that , A function is a maping of x to y such that f(x) = y
Let x = N , y = C
So, f( x) = y
⇒f(N) = C ,where C = N - 7
b.)
The input of the function is x = N
c.)
The output of the function = y = C = N -7
d.)
A inverse function is a mapping of y to x
i.e change the variable ,
As we have C = N - 7
It becomes
N = C - 7
So the inverse function becomes
F(C) = N where N = C - 7
e.)
Input of the inverse function = C
f.)
Output of the inverse function = N = C - 7
Help me how to prove triangles inequality
it describes the relationship between the three sides of a triangle. any triangle the sum of length of two sides is always great er then the third side.
can anyone help me with this please marking brainly :)
Answer:
I can answer Part B since I can't explain Part A in words.
Step-by-step explanation:
Angle 2 = 109 degrees (since it is a straight angle witch is 180 degrees. What you need to do is subtract the given with 180.)
Angle 3 = 81 degrees (I don't know how to explain this. Sorry.)
Angle 4 = 81 degrees (I also don't know how to explain this.)
are ogres like onions?
Answer:
Yes they have layers
Step-by-step explanation:
Ogre
Layers
like
onion
why wasn't i doing this sooner :)
Step-by-step explanation:
Morning is 4 hr 15 min
afternoon is 4 hour 15 min
together is 8 hour 30 min
8.5*14 = 119 dollars
According to the unitary method, the wage of the weekly time for the employee is written as $119.00
To calculate the hours worked on Monday, we need to consider both the morning and afternoon shifts. For the morning shift, the employee clocked in at 08:00 AM and clocked out at 12:15 PM. The total time worked in the morning is 4 hours and 15 minutes (12:15 - 08:00).
Similarly, for the afternoon shift, the employee clocked in at 01:00 PM and clocked out at 05:15 PM. The total time worked in the afternoon is 4 hours and 15 minutes (05:15 - 01:00).
Adding both morning and afternoon hours, the total hours worked on Monday is
(4 hours 15 minutes + 4 hours 15 minutes) = 8 hours and 30 minutes
To perform the calculation, we need to convert the minutes to decimal hours. There are 60 minutes in an hour, so we divide the minutes by 60 to get the decimal representation. In this case, 30 minutes is equal to 0.5 hours.
Now that we have the total hours worked on Monday, we can calculate the pay. We multiply the total hours worked by the hourly wage. In this case, the hourly wage is $14/hr.
So, the pay for Monday would be:
Pay = Total hours worked x Hourly wage
Pay = 8.5 hours x $14/hr = $119.00
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I need help with this question geometry
Answer:
sorry
Step-by-step explanation:
Answer:
y=15
∠P=113
∠Q=67
∠R=113
∠S=67
Step-by-step explanation:
10y-37+4y+7=180
14y=210
y=15
∠P=10(15)-37=113
∠Q=180-113=67
Tell whether x and y show direct variation. Explain your reasoning. 2x = 3y
Answer:
YES: direct variation
Step-by-step explanation:
2x = 3y is equivalent to y = (2/3)x, which has the form of a proportional relationship (direct variation) y = kx. YES
What is an equation of the line that passes through the points (5,2) and (-5,6)?
Put your answer in fully reduced form.
Answer: y = -2/5x + 4
Steps:
First find the slope of the equation y=mx+b.
slope equation (m=y2-y1/x2-x1)
Then plug in your coordinates, which the first set is (5,2) and the second set if (-5,6). m = 6 - 2/ -5 - 5
Which your answer will be 4/-10, simplify it by dividing both by 2 to get -2/5 for your slope.
Next, find your y-intercept (b).
substitute the first set of coordinates into the equation y=mx+b
Substitute: 2 = -2/5 (5) +b
Then multiply -2/5 with 5 to get (-2). Your equation should now reduce to be
2 = -2 +b
Do inverse operations on both sides by adding 2 to each side (the 2 side and the -2+b side).
This gets rid of the -2 and since we added 2 to both sides, your final equation should look like 4 = b for your y-intercept.
Plug in everything to get y = -2/5x + 4
HELPPPPP!:(
In order to ride a roller coaster, a rider must be greater than 48 inches tall. Right now, Jeff is 45 inches tall. Write an inequality that describes how many more inches Jeff must grow in order to ride the roller coaster.
Answer:
x is greater than or equal to 3 inches.
Step-by-step explanation:
The required inequality that models the situation of age to grow is given as x ≥ 3.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Let the age to be grow be x,
According to the question,
45 + x ≥ 48
Simplifying the above expression,
x ≥ 3
Thus, the required inequality that models the situation of age to grow is given as x ≥ 3.
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You wash dishes for a chemistry laboratory to make extra money for laundry. You earn 12 dollars/hour, and each shift lasts 75 minutes. Your laundry requires 12 quarters/load.Part AHow many shifts must you work if you wish to wash 10 loads of laundry
Answer:
2 shifts
Step-by-step explanation:
Amount earned washes dishes = 12 dollars / hour
Shift duration = 75 minutes
Cost of laundry = 12 quarters per load
Cost of 10 loads of laundry = (10 * 12 quarters) = 120 quarters
1 quarter = 25 cents
120 quarters = (25 * 120) = 3000 cents
100 cents = $1
3000 cents = 3000/ 100 = $30
Hence, to make $30 from washing dishes :
$12 = 1 hour
$30 = x
x = 30 / 12
x = 2.5 hours
1 shift lasts 75 minutes
2.5 hours = (2.5 * 60) = 150 minutes
150 / 75 = 2 shifts
pls help 20 points I just need an explanation
Answer:
i=prt
i = 1,000 x 0.045 x 1.5
Step-by-step explanation:
What single decimal multiplier would
you use to increase by 17% followed by
a 15% decrease?
Answer:
i think 1.17 and 0.85
Step-by-step explanation:
Two pencils and one pen cost $0.80, and one pencil and two pens cost $1.15. How many cents would three pencils cost
Answer:
.33 cents
Step-by-step explanation:
The circumference of a circle is 137 m. Find its diameter, in meters.
Step-by-step explanation:
[tex]137 = 2\pi \times r \\ r = \frac{137}{2\pi} = 21.8045232 \\ diameter = 2 \times r = 43.609 \\ = 43.61 \: m[/tex]
What is the value of sin(48) ? Use a calculator and round to the nearest tenth
Answer:
0.743
:))))))))))))))
In a particular library, 18% of the books are children's books, 53% of the books are adult fictions, and the rest are adult non-fiction
You choose one book at random. What is the probability that it is an adult non-fiction book ?
Answer:
29%
Step-by-step explanation:
You add the 18 and 53 then subtract by 100 to receive your answer
Answer:
29%
Step-by-step explanation:
You add the percentages of the other categories (18 - children, 53 - adult fiction) then subtract from 100.
Identify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest percent.
Original: 150
New: 130
Answer:
130 is a 13.333% or 13% decrease of 150.
is -4 greater than or less than -1?
John estimates that there is 150 people at the party. After counting, there are actually 148 people at the party
Find the percent error.
round your answer to the nearest hundredth
Albert moved 1/4 of lawn and son mowed 3/7 of how much is left to mow
Answer: 5/28 left to mow
Step-by-step explanation:
How much is left means we have to subtract the fractions. The easiest to do is subtract using the larger fraction first which is 3/7.
3/7 - 1/4
Since you have unlike terms in your denominator, look for that one common factor that can divide into 7 and 4, the numbers in your denominator. In this case there is no common factor, so you have to multiply the 2 numbers in your denominator to get the common factor that would be 7 x 4=28. 28 is new the common factor you will use for each denominator. Now we have to make adjustments to the numerator:
3/7 becomes 12/28 because you have to say to yourself how many times 7 in your oringinal denominator go into 28, your new denominator, which=4. Now you multiply that 4 by the numerator 3 and that would =12 now you have 12/28. For the 1/4, it becomes 7/28 because you have to say to yourself how many times 4 go into 28 which =7. Now multiply 7 by the numerator 1 which =7. Now you have 7/28. Now you can subtract and solve for your answer:
3/7 -1/4 converted to:
12/28 - 7/28 subtract numerators 12-7 and keep the same denominator
Ans: 5/28 left to mow
Leo traveled to the store at a constant speed, and when he returned, he graphed his motion to show the distance he traveled compared to the time he traveled. Which graph could Leo use to show his trip to the store
Answer:
A
Step-by-step explanation:
Took the test
Please answer quickly Thank You
Answer:
A. $ 46
B. 12 people.
Step-by-step explanation:
From the question given above, we obtained the following:
C(x) = 6.5x + 20
Where:
C => total cost of bowling
x => number of people
A. Determination of the of bowling for 4 people.
Number of people (x) = 4
Total cost (C) of bowling =?
C(x) = 6.5x + 20
C(4) = 6.5(4) + 20
C(4) = 26 + 20
C(4) = $ 46
Thus, it will cost $ 46 for 4 people to bowl
B. Determination of the number of people that can bowl for $ 98.
Total cost (C) of bowling = $ 98
Number of people (x) =?
C(x) = 6.5x + 20
98 = 6.5x + 20
Collect like terms
98 – 20 = 6.5x
78 = 6.5x
Divide both side by 6.5
x = 78 / 6.5
x = 12
Thus, 12 people can bowl for $ 98.
PLEASE HELP ASAP THIS IS DUE SOON
Answer:
y= 2/1x
Step-by-step explanation:
1. Mark two points on the coordinate place (1,2) (2,4)
2. Subtract y1 from y2 and x1 from x2
(1, 2) 1
(2, 4) 2
4-2 y, 2-1 x
3. Put y on top of x as a fraction after you've subtracted it (2/1)
4. y= 2/1x
i think this is right...maybe?
I ran 10 miles in 2 hours. What was my average speed?
Answer:
5mph
Step-by-step explanation:
10/2 = 5
if I could get brainliness I will love you
Answer
5
Step-by-step explanation:
help fast plz with that
the volume of a rectangular prism is 72 cubic centimeters. the prism is 2 centimeters wide and 4 centimeters high.
Answer:
9 cm
Step-by-step explanation:
Answer:
it is 9 cm because 9 x 8 is 72
Step-by-step explanation:
Answer this pleaseee !!
Answer:
D.
Step-by-step explanation:
m<F = m<B - Corresponding Angles Theorem
m<B + m<A = 180 - Adjacent Angles Theorem
180 - 105 = m<A
75 = m<A; therefore, m<A = 75.
Answer:
D.
Step-by-step explanation:
Because F and C are consecutive angles, they add up to 180°. So 180-105=75. Angle C is 75, which makes B wrong. After finding that C is 75°, then you use the verticle angles theorem to show that angle A is 75°. Hope this helps you.
Can someone help me Write an equation for this graph?
Answer:
y = (2/3)x - 1
Step-by-step explanation:
y = mx + b
m = (y₂ - y₁) ÷ (x₂ - x₁)
m = (1 - (-1)) ÷ (3 - 0)
m = 2 ÷ 3
m = 2/3
Insert slope and one of the points. I'm using (0, -1).
Solve for b.
-1 = (2/3)0 + b
-1 = 0 + b
-1 = b
∴ y = (2/3)x - 1
2. The population of a school is 800 students and is increasing at a rate of 2% per year. Write an
exponential growth function
Answer:
400
Step-by-step explanation:
