Find the GCF of the following literal terms. m^7 n^4 p^3 and mn^12 p^5
Answers
48 = 2^4 * 3
Therefore, GCF of 16a^4 b^4 + 32a^3 b^5 - 48a^2 b^6 is 16a^2 b^4, so
16a^4 b^4 + 32a^3 b^5 - 48a^2 b^6 = (16a^2 b^4)(a^2 + 2ab - 3b^2) = (16a
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Find the quotient 8 over 0
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Write an equation for the line that is parallel to the given line and passes through the given point. y = x + 8; (2, 16) A. y = x + 14 B. y = x – 6 C. y = x + 6 D. y = x
Answers
slope = -1; y-intercept = 5
Hope this helps :)
1
2
3
4
5
6
Frequency
32
36
44
20
30
38
What is the experimental probability of rolling the given result?
a.
0.88
c.
0.56
b.
0.34
d.
0.44
Answers
Final answer:
The experimental probability of rolling the given results are: a. 0.16, b. 0.18, c. 0.22, d. 0.1. The correct answer is b. 0.18.
Explanation:
To find the experimental probability of rolling a given result, divide the frequency of that result by the total number of rolls. In this case, the frequency of rolling a 1 is 32, and the total number of rolls is 200. So the experimental probability of rolling a 1 is 32/200 = 0.16. Repeat this process for the other results:
- Experimental probability of rolling a 2: 36/200 = 0.18
- Experimental probability of rolling a 3: 44/200 = 0.22
- Experimental probability of rolling a 4: 20/200 = 0.1
- Experimental probability of rolling a 5: 30/200 = 0.15
- Experimental probability of rolling a 6: 38/200 = 0.19
Based on these calculations, the experimental probability of rolling the given results are:
- a. 0.16
- b. 0.18
- c. 0.22
- d. 0.1
Therefore, the correct answer is b. 0.18.
Learn more about experimental probability here:
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Answer: D) 0.44
==========================================================
Explanation:
Add up all the frequencies that correspond to outcomes that are more than 3
So we'll add up the last three frequencies (since they correspond to outcomes of 4, 5 and 6 all of which are greater than 3) to get 20+30+38 = 88
We have 88 occurrences of rolling either a 4, a 5 or a 6. This is out of 200 rolls total.
The empirical (or experimental) probability of getting more than 3 on the die is 88/200 = 0.44
23=79(6x−36)+9
Answers
23=474x-2835
-474x=-2835-23
-474x=-2858
x=1429/237
23 = 79(6x - 36) + 9
Distribute 79 inside the parentheses.
23 = 474x - 2,844 + 9
Combine like terms.
23 = 474x - 2,835
Add 2,835 to both sides.
2,858 = 474x
Divide both sides by 474.
x = 2,858/474
Simplified by dividing both sides by 2: 1,429/237
Your answer is x = 1,429/237.
1. 2(x2 + 5) = 60 1.
2. 2x2 + 10 = 60 2.
3. 2x2 = 50 3.
4. x2 = 25 4.
5. x = ±5 5.
Answers
2(x²+5)=60
<==>x²+5=30 (divided teh 2 members by the positive 5 :keep the equality)
<==>x²-25=0 (substract 25 from 2 members)
<==>(x-5)(x+5)=0 (remarquable product a²-b²=(a+b)(a-b))
<==> x= 5 or x=-5 (a product if null if one at least of its factor is null)
Answers
Answer: option C. 14.55%
Explanation:
1) Total payments done:
Down payment + 10×montly payments = $20 + 10×$34 = $20 + $340 = $360
2) Interest paid
Total payments - original price = $360 - $320 = $40
3) Financed amount
Original price - down payment = $320 - $20 = $300
3) Percent interest
(Interest paid / financed amount ) × 100 = ($40 / $300) × 100 = 13.33%
4) Yearly rate
number of months in a year: 12
number of months to pay: 10 + 1 = 11
⇒ (Percent interest / 11) × 12 = (13.33% / 11) × 12 = 14.54%
Note that it has been assumed that the first monthly payment was made one month after the purchase, which leads to a total payment time of 11 months, that is why the divisor (denominator of the fraction is 11 and not 10).
Interest= Principal x Rate x Time or I= PRT
Substitute values: I= [$20 + ($10 x $34)] -320 =$40
P= $320
R=?
T=10 months/year
I=PRT
Since R is a missing term, we will solve for R using this formula: R=I/PT
R= [$20 + ($10 x $34)-320] / ($320 x 10 months)
T=10 months÷12 months=0.83
R= ($40)/ $320 X 0.83
R= 40/ 265.6
R=15.06024096