Answers
Answer:
19- 2(xy+yz+xz)
20- 16t(5-t)
Step-by-step explanation:
19) factor 2xy+2yz+2xz
2xy+2yz+2xz
=2(xy+yz+xz)
20) factor -16t^2 +80t
=80t-16t^2
=16(5t-t^2)
=16t(5-t)
Related Questions
Based on this example, make a
generalization about the acute angles
formed when two parallel lines are
cut by a transversal.
Answers
Answer:
Step-by-step explanation:
There are 4 of them (acute angles that is)Those 4 are less than 90 degrees.They have supplementary angles which are greater than 90 degrees.There are 4 of them also.The total number of angles should be 8 if there are 2 parallel lines and 1 transversal.A box contains 16 large marbles and 18 small marbles. Each marble is either green or white. 9 of the large marbles are green, and 3 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is small or green
Answers
Answer:
[tex]P(S&G) =0.7941[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=16+18=>34[/tex]
N0 of Large [tex]L=16[/tex]
N0 of Small [tex]S=18[/tex]
N0 large Green [tex]L_g=9[/tex]
N0 of small White [tex]S_w=3[/tex]
Therefore
Number of green marbles [tex]N0(G)=9+(18-3)[/tex]
Number of green marbles [tex]N0(G)=24[/tex]
Generally the Number of both small and green Marble is
[tex]N0 of (S&G)= 18 - 3 = 15[/tex]
Generally the probability that it is small or green P(S&G) is mathematically given by
[tex]P(S&G) = \frac{(18 + 24 - 15)}{(18 + 16)}[/tex]
[tex]P(S&G) =0.7941[/tex]
There is a 60% probability that a home in the United States has a large-screen TV. In a sample of six homes, what is the probability that there will be a large screen TV in:_________a). All 6 homes? b). None of the homes c). At least 5 of the homes? d). At most 2 of the homes? e). More than 3 of the homes? f). Less than 3 of the homes? g). How many homes would you expect to have a large-screen TV in a sample of six homes?
Answers
Answer:
faster and smarter Homes its b
Step-by-step explanation:
I did this one
What is the greatest common factor of 16ab3 + 4a2b + 8ab ?
Answers
Answer:
2ab(3b^2+2a+4)
Step-by-step explanation:
6ab^3 + 4a^2b + 8ab
2*3*a*b*b^2 +2*2*a*a*b +2*2*2*a*b
Factor out the common terms
2ab( 3*b^2 +2*a +2*2)
2ab(3b^2+2a+4)
The product of two numbers is 50 and there sum is 15. Find the number.
Answers
Answer: the numbers are 10 and 5
Step-by-step explanation:
10 times 5 is 50
10 plus 5 is 15
please help me with this function problem
Answers
(2x)^2+4= 4x^2+4
Write 2^60 the expression as a exponent with the base of 4
Answers
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]2^{60} =2^{2 \times 30} =(2^{2} )^{30}=4^{30}[/tex]
Reasoning by induction
Question 1 options:
1)
develops a general conclusion based on observations of cases.
2)
develops a general conclusion based on given information.
3)
starts with assumptions that are known to be valid to draw another new truths.
4)
uses patterns to create logical proofs.
Answers
Answer:
1because the occasion of cases
Zoe has 4 pounds of strawberries to make pies. How many ounces of strawberries Is this?
64 oz.
60 oz.
68 oz.
72 oz.
Answers
Work Shown:
1 pound = 16 ounces
4*(1 pound) = 4*(16 ounces)
4 pounds = 64 ounces
calculate the resistance if V = 220V and I = 3.6amp
Answers
Step-by-step explanation:
V= IR --> R = V/I = (220 V)/(3.6 A) = 61.1 ohms
Answer:
61.11 ohms
Step-by-step explanation:
R=V/I
R=220/3.6
R=61.11 ohms
two sides of a triangle measure 5 in and 12 in what could be the length of the third side
Answers
Answer:
b
Step-by-step explanation:
AABC-AXYZ. What's the scale factor from
AABC to AXYZ?
Answers
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Answer:
(d) 1/4
Step-by-step explanation:
The scale factor is the ratio of lengths of corresponding sides:
XZ/AC = 3/12 = 1/4
_____
Additional comment
I find the wording of the question a bit ambiguous. To transform ΔABC to ΔXYZ, every linear dimension of ΔABC is multiplied by 1/4. This is the sense of "ΔABC to ΔXYZ" that is used in the above answer.
On the other hand, one of the ways ratios are written is using the word "to," as in "12 to 3". Using this idea, we might interpret the question to be asking for ...
ΔABC to ΔXYZ = AC to XZ = 12 to 3 = 12/3 = 4
22
20
14
22
29
20
Mean
Mode
Medium
Range
Answers
Mode: The mode is the number that appears the most often. Our numbers are 22, 20, 14, 22, 29, and 20. 22 appears 2 times, 20 appears 2 times, 14 appears 1 time, and 28 appears 1 time. Therefore, the mode is 22 and 20.
Medium/median: I am assuming you meant median, the median is the middle number when the list is sorted from least to greatest. This means our list is 14, 20, 20, 22, 22, 29. We can find the median by crossing out the outer numbers and so on until we reach the middle. 14 and 29 are crossed out. 20 and 22 are crossed out. This gives us 22 as the median.
Range: The range is the difference between the greatest and the least number in our list. The greatest number in our list is 29. The number of the least value is 14. 29-14 is 15. 15 is our range.
Answer:
mean=21.17
mode=20,22
median=3.5
range=15
Step-by-step explanation: MEAN=sum of all observations/ no. of observations
mean=22+20+14+22+29+20/6
mean=127/6
mean=21.17
MODE= most frequent observations
mode=22,20
MEDIAN=1/2(n/2+n+2/2)
=1/2(6/2+6+2/2)
=1/2(3+4)
=1/2(7)
=7/2
=3.5
RANGE=X max -X min
=29-14
=15
The 7-digit numbers 7123A32, 2B25689 and 450ABC6 are divisible by 3. Find the sum of all possible values of C.
Answers
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Answer:
15
Step-by-step explanation:
For numbers to be divisible by 3, the sum of their digits must be divisible by 3.
This means we require ...
(7 + 1 + 2 + 3 + A + 3 + 2) mod 3 = 0 ⇒ A mod 3 = 0
(2 + B + 2 + 5 + 6 + 8 + 9) mod 3 = 0 ⇒ (2+B) mod 3 = 0 ⇒ B mod 3 = -2
(4 + 5 + 0 + A + B + C + 6) mod 3 = 0 ⇒ (C -2) mod 3 = 0
Possible values of C are 2, 5, 8. Their sum is 15.
_____
For example, let A=0, B=1, C=2. Then we have ...
7123032 = 2374344×3
2125689 = 708563×3
4500126 = 1500042×3
I need help ASAP please no links
Answers
Answer: D' = (1, -1)
Step-by-step explanation:
When dilating by a 1/2 you take a point and divide the x and y of the point in half. So D before is (2,-2) and then divide that by a 1/2, which gives us our answer (1, -1).
PLEASE HELPPPPPPP #1
Answers
Answer:
is the second answer 2x+1/x-1
Calculate the product below and give your answer in scientific notation.
(3.3 x 10-4) (8.0 x 109) = ?
Show Calculator
Answers
Answer:
25288
Step-by-step explanation:
shown in the picture
1. What is the theoretical probability that the family has two dogs or two cats?
2.
Describe how to use two coins to simulate which two pets the family has.
3. Flip both coins 50 times and record your data in a table
like the one below.
Frequency
Result
Heads, Heads
Heads, Tails
Tails. Heads
Tails. Tails
Total
50
4
Based on your data, what is the experimental probability that the family has two dogs or
two cats?
5
If the family has three pets, what is the theoretical probability that they have three dogs or
three cats?
How could you change the simulation to generate data for three pets
6
Answers
let dogs be heads. Let cats be tails. A coin has two sides, in which you are flipping two of them. Note that there can be the possible outcomes
h-h, h-t, t-h, t-t.
How this affects the possibility of two dogs & two cats. Note that there are 1/2 a chance of getting those two (with the others being one of each), which means that out of 4 chances, 2 are allowed.
2/4 = 1/2
50% is your answer
Heads represents cats and tails represents dogs. There is two coins because we are checking the probability of two pets. You have to do the experiment to get your set of data, once you get your set of data, you will be able to divide it into the probability for cats or dogs. To change the simulation to generate data for 3 pets, simply add a new coin and category for the new pet.
Hope this helps you out!
Two complex numbers have a sum of 14 and a product of 74. Write either of the two numbers.
Answers
Answer:
Hello,
Step-by-step explanation:
The 2 numbers are roots of the equation:
U²-14U+74=0
Discriminant=14²-4*74=-100
U=7-5i or U=7+5i
9514 1404 393
Answer:
7 +5i or 7 -5i
Step-by-step explanation:
If the two numbers are represented by x and y, then ...
x+y = 14
xy = 74
Substituting for y, we have ...
x(14 -x) = 74
x^2 -14x +49 = -74 +49 . . . . . multiply by -1, complete the square
(x -7)^2 = -25 . . . . . . . . . . . write as a square
x -7 = ±√(-25) = ±5i . . . . take the square root
x = 7 ± 5i . . . . . . . . . . . add 7
One of the numbers is 7 +5i.
Last year Diana sold 800 necklaces. This year she sold 1080 necklaces. what is the percentage increase of necklaces she sold?
Answers
Answer:
13.5% is the increase in percentage
Answer:
74%
Step-by-step explanation:
To get the answer, divide 800 by 1080, and you will get a decimal. That decimal is 0.74074074074. Then, move the decimal point two times two the right, so you should have 074.074074074. Ignore everything after the decimal point as well as the 0 before the decimal point, and if done correctly, it should be 74%.
So, the final answer would be 74%.
Hope this helped!
A political party wishes to estimate the proportion of voters that support the party in a particular state. The party will poll a random sample of n voters from the state. Which of the following is likely to result in the largest margin of error?
a. n = 500, confidence level 95%
b. n = 500, confidence level = 99%
c. n = 500, confidence level = 90%
d. n= 300, confidence level 95%
e. n = 300, confidence level = 90%
Answers
Answer:
Option D
Step-by-step explanation:
Generally the equation for Margin of Error is mathematically given by
[tex]M.E=Z*sqrt{\frac{p*(1-p)}{n}}[/tex]
Condition for Largest M.E
n has to be smallest and Z value has to be largest.
Where
From options
Smallest [tex]n=300[/tex]
Largest Z value respects to [tex]\alpha=95\%[/tex]
Therefore
n= 300, confidence level 95%
Option D
PLS
Write the equation of the piecewise function that is represented by its graph.
IS IT A, B, C, OR D
Answers
9514 1404 393
Answer:
a) domain bounds are -1 ≤ x ≤ 1, x > 1
Step-by-step explanation:
In considering the definition of any piecewise function, the domain descriptions in the function definition must match the pieces shown in the graph.
Here, the right segment has no upper bound, so x > 1 is an appropriate description of its domain.
The left segment has the points at x=-1 and x=1 included, so the appropriate domain description for that is -1 ≤ x ≤ 1.
The one answer choice that combines these domain descriptions is ...
[tex]\displaystyle f(x)=\begin{cases}x^2,&\text{if }-\!1\le x\le1\\\sqrt{x},&\text{if }x>1\end{cases}[/tex]
if the lines 3x+2ky=0 and 2x+5y+1=0 are parallel, then what is the value of k?
Answers
Answer:
k = 15/4
Step-by-step explanation:
Slope of a line = -a/b
slope of the first line = -3/2k
slope of the second line = -2/5
the slope of two parallel lines are congruent
-3/2k = -2/5
-15 = -4K
k = 15/4
4 people take 3 hours to paint a fence assume that all people paint at the same rate How long would it take one of these people to paint the same fence?
Answers
Answer:
12
Step-by-step explanation:
The population, P(t), in millions, of a country, in year t, is given by the formula P(t) = 24 + 0.4t. What are the values of the population for t = 10, 20,
and 30?
Answers
Answer:
B. 28, 32, 36 millions
Step-by-step explanation:
Given:
P(t) = 24 + 0.4t
Where,
P(t) = population in millions
t = number of years
✔️Value of the population when t = 10:
Plug in t = 10 into P(t) = 24 + 0.4t
P(t) = 24 + 0.4(10)
P(t) = 24 + 4
P(t) = 28 million
✔️Value of the population when t = 20:
Plug in t = 20 into P(t) = 24 + 0.4t
P(t) = 24 + 0.4(20)
P(t) = 24 + 8
P(t) = 32 million
✔️Value of the population when t = 30:
Plug in t = 30 into P(t) = 24 + 0.4t
P(t) = 24 + 0.4(30)
P(t) = 24 + 12
P(t) = 36 million
A Food Marketing Institute found that 34% of households spend more than $125 a week on groceries. Assume the population proportion is 0.34 and a simple random sample of 124 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is less than 0.31
Answers
Answer:
0.2405 = 24.05% probability that the sample proportion of households spending more than $125 a week is less than 0.31.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Assume the population proportion is 0.34 and a simple random sample of 124 households is selected from the population.
This means that [tex]p = 0.34, n = 124[/tex]
Mean and standard deviation:
[tex]\mu = p = 0.34[/tex]
[tex]s = \sqrt{\frac{0.34*0.66}{124}} = 0.0425[/tex]
What is the probability that the sample proportion of households spending more than $125 a week is less than 0.31?
This is the p-value of Z when X = 0.31, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.31 - 0.34}{0.0425}[/tex]
[tex]Z = -0.705[/tex]
[tex]Z = -0.705[/tex] has a p-value of 0.2405.
0.2405 = 24.05% probability that the sample proportion of households spending more than $125 a week is less than 0.31.
Please helppppppppp!!!!
Answers
Terminal point for 4π/3
(cos4π/3 ,sin4π/3)
{cos(π+π/3) ,sin(π+π/3)}= (-cosπ/3 ,-sinπ/3)
or ,(- 1/2, -√3/2)
OPTION C
A consistent system of equations is a system with __________.
Select one:
a. the same line
b. parallel lines
c. intersecting lines and lines that have the same slope
d. intersecting lines and lines that have the same equation
Answers
the answer is d. my shlime
A graph of 2 functions is shown below. graph of function f of x equals negative 11 by 3 multiplied by x plus 11 by 3 and graph of function g of x equals x cubed plus 2 multiplied by x squared minus x minus 2 Which of the following is a solution for f(x) = g(x)? (2 points) x = −2 x = 1 x = 0 x = −1
Answers
9514 1404 393
Answer:
(b) x = 1
Step-by-step explanation:
A graph shows the solution to f(x) = g(x) is x = 1.
__
We want to solve ...
g(x) -f(x) = 0
x^3 +2x^2 -x -2 -(-11/3x +11/3) = 0
x^2(x +2) -1(x +2) +11/3(x -1) = 0 . . . . . factor first terms by grouping
(x^2 -1)(x +2) +11/3(x -1) = 0 . . . . . . the difference of squares can be factored
(x -1)(x +1)(x +2) +(x -1)(11/3) = 0 . . . . we see (x-1) is a common factor
(x -1)(x^2 +3x +2 +11/3) = 0
The zero product rule tells us this will be true when x-1 = 0, or x = 1.
__
The discriminant of the quadratic factor is ...
b^2 -4ac = 3^2 -4(1)(17/3) = 9 -68/3 = -41/3
This is less than zero, so any other solutions are complex.
how did the tempicher change if at first it increased by 5% and then increased by 20 percent
Answers
Answer:
Increasing a number by 5% and then by 20% is the same as increasing the original number by 26%.
Step-by-step explanation:
Take a number, x.
Now increase it by 5%.
1.05x
Now increase it by 20%.
1.2 * 1.05x = 1.26x
1.26x = 126% of x = 100% of x + 26% of x
100% of x is the same as x, so it is the same as the original x.
The increase is 26% of the original number.
Increasing a number by 5% and then by 20% is the same as increasing the original number by 26%.
