Answer: Detailed Answer:
The Greatest Common Factor (GCF) for 63 and 105, notation CGF(63,105), is 21. Explanation: The factors of 63are 1,3,7,9,21,63; The factors of 105are 1,3,5,7,15,21,35,105.
Step-by-step explanation:
Hope it helps!!!!!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?
9514 1404 393
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
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
Solve these questions for 18 points (Solving Integers)
Answer:
x >= 9
x <= 32
x > -24
x > -5
x <= 10
x > -6
Step-by-step explanation:
first, write it down as inequalities:
5x >= 45
x/4 <= 8
x/-3 < 8
7x > -35
x/2 <= 5
3x > -18
then, solve the inequalities
5x >= 45
x >= 45/5
x >= 9
x/4 <= 8
x <= 8*4
x <= 32
x/-3 < 8
x > 8 * -3
x > -24
7x > -35
x > -35/7
x > -5
x/2 <= 5
x <= 5*2
x <= 10
3x > -18
x > -18/3
x > -6
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
What should you do first to simplify 8 + (2 x 5) ?
Answer:
18
Step-by-step explanation:
8+(2)(5)
=18
Answer:
18
Step-by-step explanation:
8 + (2×5)
=8 + 10
= 18
hope this will help you ☺✌
plzzzzzzzzzzz hurry.
Answer:
c maybe i think. tell me if its right
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
Given the equation y
- x+1
The x intercept is:
The y intercept is:
Answer:
−x+y+1
Step-by-step explanation:
Perform the indicated operation.
Answer:
c
Step-by-step explanation:
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
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?
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
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%
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
Chai Hu deposited $5500 in a savings account earning 6% interest compound quarterly if he makes no other deposits or withdrawals how much will he earn in 25 days
Answer:
5,477.63
Step-by-step explanation:
First, convert R percent to r a decimal
r = R/100
r = 6%/100
r = 0.06 per year,
Then, solve our equation for P
P = A / (1 + r/n)nt
P = 5,500.00 / (1 + 0.06/4)(4)(0.068448)
P = 5,500.00 / (1 + 0.015)(0.273792)
P = $ 5,477.63
Summary:
The principal investment required to get
a total amount of $ 5,500.00
from compound interest at a rate of 6% per year
compounded 4 times per year
over 0.068448 years
is $ 5,477.63.
** i got this from calculator soup
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??
9514 1404 393
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
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
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
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
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: ):
How would you write twenty-one thousand, six hundred fifty-sixin standard form?
2165
21666
21566
21656
Answer:
21,656
Step-by-step explanation:
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).
(03.02)
Which of the following is a factor of 48x2 − 26x + 3? (1 point)
Select one:
a. 8x − 3
b. 12x − 1
c. 4x − 3
d. None of the above
Answer:
A
Step-by-step explanation:
48x^2-8x-18x=3
8x(6x-1)-3(6x-1)
(8x-3)(6x-1)
8x-3
Answer:
Step-by-step explanation:
48x2 - 26x + 3
48x2 - 18x - 8x + 3
6x( 8x - 3) - 1(8x - 3)
(8x - 3) and (6x - 1) are the factors
Option A is the correct answer
Me Pekzer has a problem he has become obsessed with TickTock's he makes them all the time now when he started counting he had made 544 different TickTock's he did some calculations and determined the number of TickTock's he made was growing by 11% each week write an equation to represent this situation .
Answer:
544w + 11%
Step-by-step explanation:
544 is the number he started with, so if he increases 11% by w (the amount of weeks) then you will get your anwser based on the number of weeks he increases
Matthew bought a video game for 25 dollars the following week his friend found the game on sale and bought it for 17 dollars what is the percent of decrease in price of the game
Answer:
14% decrease
Step-by-step explanation:
they making me write more since I'm ambitious
Marshall has 3 bags in each of his 2 toy chests. Each bag has 5 marbles. How many
marbles does he have in all?
A. 10
B. 15
C. 30
D. 35
< Back
Clear Answer
Next >
Answer:
C. 30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
3 bags in each of 2 toy boxes. 3x5=15. That Would be the answer but he has 2 toy boxes go he has 6 bags. 15x2=30 or 15+15=30
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
sun of the fraction 1/6 + 1/3 =
Answer:
.5 or 1/2
Step-by-step explanation:
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:
https://brainly.com/question/21926466
#SPJ2