Answer: 74.2857143 milliliters
Step-by-step explanation:
65cm3 + 9.28571429 milliliters = 74.2857143 milliliters
sun of the fraction 1/6 + 1/3 =
Answer:
.5 or 1/2
Step-by-step explanation:
Automobile engines and transmissions are produced on assembly lines, and are inspected for defects after they come off their assembly lines. Those with defects are repaired. Let X represent the number of engines, and Y the number of transmissions that require repairs in a one-hour time interval. The joint probability mass function of X and Y is as follows: y x 0 1 2 3 0 0.13 0.10 0.07 0.03 1 0.12 0.16 0.08 0.04 2 0.02 0.06 0.08 0.04 3 0.01 0.02 0.02 0.02 Find the marginal probability mass function of X. Round the answers to two decimal places. pX(0) pX(1) pX(2) pX(3)
Answer:
[tex]\begin\\\begin{tabular}{|l|l|l|l|l|l|}x&0&1&2&4&Sum\\P(x)&0.33&0.40&0.20&0.07&1.00\end[/tex]
Step-by-step explanation:
From the question we are given the table
[tex]\begin\\\begin{tabular}{|l|l|l|l|l|} &&y \\x &0&1&2&3\\0 &0.13&0.1&0.07&0.03 \\1&0.12&0.16&0.08&0.04\\ 2&0.02&0.06&0.08&0.04\\ 3&0.01&0.02&0.02&0.02\end[/tex]
Generally the marginal probability mass function of X is mathematically given as
[tex]P(x)=\sum P(x,y)>y[/tex]
[tex]\sum P(0)=0.13+0.1+0.07+0.03=0.33\\\sum P(1)=0.12+0.16+0.08+0.04=0.40\\\sum P(2)=0.02+0.06+0.08+0.04=0.20\\\sum P(3)=0.01+0.02+0.02+0.02=0.07[/tex]
Therefore marginal probability mass function of X
[tex]\begin\\\begin{tabular}{|l|l|l|l|l|l|}x&0&1&2&4&Sum\\P(x)&0.33&0.40&0.20&0.07&1.00\end[/tex]
2x +4 (3 - 2x) = 3(2x + 2)/6 + 4
Answer:
2/3
Step-by-step explanation:
spread it out
2x + 12 - 8x = (6x + 4)/2 + 4
2x + 12 - 8x = 3x + 2 + 4
solve
9x = 6
x = 6/9 --> 2/3
check over the process if i did this correctly lol
plzzzzzzzzzzz hurry.
Answer:
c maybe i think. tell me if its right
One batch of cookies makes 18. How many
batches will you need to make to be sure you
have at least 100
Answer:
6
Step-by-step explanation:
100/18=5 1/2
18*6=108
Answer : 18x5=90 18x6=108
Step-by-step explanation:
What is the final price of a $5000 item with a 44% markup?
Answer:
$7200
Step-by-step explanation:
5000 increase 44% =
5000 × (1 + 44%) = 5000 × (1 + 0.44) = 7200
Zachary purchased a computer for $1,400 on a payment plan. Two months after he purchased the computer, his valence was $1,120. Three months after he purchased the computer, his balance was $980. What is an equation that models the balance y after x months??
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Answer:
y = 1400 -140x
Step-by-step explanation:
In the first two months, Zachary paid ...
1400 -1120 = 280
so 280/2 = 140 per month. This is the amount that the balance decreases each month from the starting balance of $1400.
Zachary's balance (y) can be modeled as ...
y = 1400 -140x
Question 7
1 pts
Emily has two bags of marbles. The first bag contains 4 red marbles and 6 blue.
The second bag contains 6 blue marbles, and 2 green marbles. Emily will
randomly select 1 marble from each bag.
What is the probability that Emily will select a blue marble from each bag?
Answer:
likely
because there are 12 blue marbles more then others
The radius of a circle is 11 ft. Find the circumference of the circle.
34.54 ft
69.08 ft
17.27 ft
25.14 ft
Answer:
69.12 ft
Step-by-step explanation:
The formula for circumference of a circle is 2πr
= 2 × 3.142× 11
= 69.12
Hence the circumference of the circle is 69.12 ft
Joyce paid $220 for an item at the store that was 30 percent of the original price. What was the original price?
Answer:
if 220=30%
100%=?
220×100÷30
=$733.333
Find the x-and y-intercepts.
4x + y = 12x - 1
The x-intercept is
The y-intercept is
Answer:
The x-intercept is [tex]\frac{1}{8}[/tex]
The y-intercept is -1
Step-by-step explanation:
Lets find x-intercept:
for y substitute 0
4x+0=12x-1
subtract 4x both sides
0=8x-1
add 1 both sides
1=8x
divide 8 both sides
[tex]\frac{1}{8}[/tex]=x
lets find y-intercept:
for x substitute 0
4(0)+y=12(0)-1
multiply 4(0) and 12(0) which would equal 0 in this case, you dont have to write the 0s.
y=-1
Hopefully it helps
Tess and Alice are both on the swim team. Last practice, they each swam laps for the same amount of time, but Tess finished more laps. This weekend, They're swimming the same number of laps at a swim meet. Who will likely finish first?
SOMEONE PLEASE ANSWER SOON :)
Answer:Tess, sorry im a week late
Step-by-step explanation: ):
There were 10 bunches of roses and tulips. Each bunch had 5 of the same flowers. There were 2 more bunches of tulips than roses. How many tulips were there?
Answer:
I think the answer is 12 (sorry if i misunderstood the question)
Step-by-step explanation:
Because if there are 10 things of roses and tulips and then 2 more tulips are added in the question in total thats 12.... 10+2=12
Perform the indicated operation.
Answer:
c
Step-by-step explanation:
How many different 3-digit numbers can be made using each of these digits shown below only once?
3,6,9
OA 3
O B. 6
Oc. 8
OD 10
O E more than 12
A crew of highway workers paved 1/2 mile in 1/4 hour. If they work at the same rate, how much will the pave in one hour
You deposited $125 in a savings account that earns a simple interest rate of
1.75% per year. You earned a total of $8.75 in interest. For how long was your
money in the account?
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Answer:
4 years
Step-by-step explanation:
Each year, the interest earned is ...
0.0175 · $125 = $2.1875
Then the time it took to earn $8.75 in interest was ...
$8.75/(2.1875/year) = 4 years
What is the length, in centimeters (cm), of y?
Answer:
Step-by-step explanation:
Use Pythagorean Theorem for a right triangle.
a^2 + b^2 = c^2
3.6^2 + 4.8^2 = c^2
c = 6cm
The length of y (Hypotenuse) is 6 cm.
We have,
Perpendicular = 3.6 cm
Base = 4.8 cm
Hypotenuse = y
Using Pythagoras theorem
Hypotenuse² = Base² + Perpendicular²
So, y² = 4.8² + 3.6²
y²= 23.04+ 12.96
y²=
y= √36
y= 6 cm
Thus, the value of y (Hypotenuse) is 6 cm.
Learn more about Pythagoras theorem here:
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On your wedding day you leave for the church 30 minutes before the ceremony is scheduled to start. The church is only 10 miles away, but you have to make an unanticipated stop for construction work on the road. As a result, your average speed for the first 15 minutes is only 5 miles per hour. What average speed do you need to go for the rest of the trip to get to the church on time
Answer:
You need to have an average speed of at least 35 miles per hour for the rest of the trip to get to the church on time
Step-by-step explanation:
We use the following relation to solve the question:
[tex]v = \frac{d}{t}[/tex]
In which v is the velocity, d is the distance, and t is the time.
First 15 minutes:
Time of 15 minutes = 0.25 hour, so [tex]t = 0.25[/tex]
Velocity of 5 miles per hour. So the distance is of:
[tex]d = vt = 5*0.25 = 1.25[/tex]
Final 15 minutes:
The will need to drive 10 - 1.25 = 8.75 miles in 15 minutes = 0.25 hours. So, the average speed will need to be of at least:
[tex]v = \frac{d}{t} = \frac{8.75}{0.25} = 35[/tex]
You need to have an average speed of at least 35 miles per hour for the rest of the trip to get to the church on time
12x21/6 pls help ...........................................................
Answer:
42
-----------
Find the percent error in this situation:
Experimental value: 4.8 g/cm3
Theoretical value: 5.8 g/cm3
2.08%
17.2%
1.72%
20.8%
Answer:
the percent error is -17.2%
Step-by-step explanation:
The computation of the percent error is shown below:
As we know that
Percent error is
= (Experimental value - theoretical value) ÷ (theoretical value)
= (4.8 - 5.8) ÷ (5.8)
= -17.2%
Hence, the percent error is -17.2%
The area of a triangular church window is 90 square meters. The base of the window is 15 meters. What is the window’s height?
Answer:
12 is the answer
Step-by-step explanation:
Which of the following types of statement cannot be used to explain the
steps of a proof? Check all that apply.
A. Conjecture
B. Guess
OC. Postulate
0 D. Theorem
Answer:
A. Conjecture
B. Guess
Steps of a proof cannot be explained using A. conjecture and B. guess.
What is Conjecture?Conjectures in mathematics is a term which is given to the situation where something is guessed without any proof or basics.
This may be true, but are not proved up to this day.
Theorems are something which are already proved. This can be used in figuring out the proof of any problems.
Similarly, postulates are something which are the special cases of a certain proof. These can also be used to prove anything in mathemetics.
But guess and conjectures are not already proved statements. So these cannot be used.
Hence the options are Guess and Conjectures.
Learn more about Conjectures here :
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How would you write twenty-one thousand, six hundred fifty-sixin standard form?
2165
21666
21566
21656
Answer:
21,656
Step-by-step explanation:
A store advertises a sale that all items are
marked down 30% or more. A life jacket is
marked down from $68 to a sale price of
$44.20. Is the advertisement true? Explain
why or why not.
Step-by-step explanation:
true. 30% of 68 is 20.40 if it was 30 percent off it would be 47.60 and it's is 3.40 more off so it is true that it is 30% or more
PLS HELP ASAP y = -3x + 1
y = x -7
Answer:
x=-1/3
x=7
Step-by-step explanation:
Not sure if this correct tho
Answer:
x=2
y=-5
Step-by-step explanation:
substitute y=-3x+1 in y=x-7
[tex]-3x+1=x-7[/tex]
[tex]-3x-x=-7-1[/tex]
[tex]-4x=-8\\x=2[/tex]
Substitute x=2 in any one of the given equations
y=x-7=2-7=-5
Given the equation y
- x+1
The x intercept is:
The y intercept is:
Answer:
−x+y+1
Step-by-step explanation:
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?
Identify the constant of proportionality from the graph. 11 10 9 00 7 6 5 1 2 3 4 5 6 7 8 9 10 11 O A. 4 B. 8 O c. D. 3
Answer:
A. 4
Step-by-step explanation:
Constant of proportionality (k) = y/x
We can use the coordinates of any point on the line to find k.
Let's use (2, 8)
Constant of proportionality (k) = 8/2
Constant of proportionality (k) = 4
Suppose a 99% confidence interval for the mean weight of high school girls in pounds is (102.3, 106.5). If we had measured the weights of each of the girls in kilograms (2.2 pounds = 1 kilogram) then the confidence interval for the mean weight of high school girls in kilograms would have been
Answer:
The confidence interval for the mean weight of high school girls in kilograms would have been would have been (46.5, 48.41).
Step-by-step explanation:
To find the interval, we can just make the conversion of the values from pounds to kilograms.
Each kilogram has 2.2 pounds. So, to realize the conversion from pounds to kilograms, we divide by 2.2.
Confidence interval: (102.3 pounds, 106.5 pounds).
102.3 pounds = 102.3/2.2 = 46.5 kilograms
106.5 pounds = 106.5/2.2 = 48.41 kilograms
The confidence interval for the mean weight of high school girls in kilograms would have been would have been (46.5, 48.41).