STEP
1
:
Equation at the end of step 1
(((7•(v2))-6v)-5)+((2v2-3v)+4)
STEP
2
:
Equation at the end of step
2
:
((7v2 - 6v) - 5) + (2v2 - 3v + 4)
STEP
3
:
Trying to factor by splitting the middle term
3.1 Factoring 9v2-9v-1
The first term is, 9v2 its coefficient is 9 .
The middle term is, -9v its coefficient is -9 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 9 • -1 = -9
Step-2 : Find two factors of -9 whose sum equals the coefficient of the middle term, which is -9 .
-9 + 1 = -8
-3 + 3 = 0
-1 + 9 = 8
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
In a fifth-grade class at a school, there are two teachers and 25 students. Part A: Suppose that in the rest of the school, there is an identical teacher- to-student ratio. What are two possible numbers of teachers and students at the entire school? Part B: Suppose that five new students join the fifth- grade class. How will that change the teacher to student ratio? Explain why your answer is correct.
If f(x) = 7, then x = ______ .
Answer:
-10
Step-by-step explanation:
On a graph, f(x) means the same thing as y. So if y=7, then x=-10
Materials A and 8 decay over time. The function કેat anunt of 10000 Sund for the cont of materiali B - 10000.25), where i represents the induws On which day will ) initial day, only (2) day 2 only (3) day 5, only (4) every day
A triangular prism. The triangular base has a base of 11 inches and height of 7 inches. The height is 9 inches.
The formula for volume of a prism is V = Bh.
The variable B stands for the .
In this prism, B equals in.2.
The variable h stands for .In this prism, h is in.
The volume of the prism is in.3.
The formula in the question is incorrect. The formula for the volume of a triangular prism is V = Bh/2.
Answer:
The variable B stands for the base.
In this prism, B equals 11 in.
The variable h stands for height. In this prism, h is 9 in.
The volume of the prism is 346.5 in^3.
Answer:
The formula for volume of a prism is V = Bh.
The variable B stands for the
✔ area of the base
In this prism, B equals
✔ 38.5
in.2.
The variable h stands for
✔ height
In this prism, h is
✔ 9
in.
The volume of the prism is
✔ 346.5
in.3.
Step-by-step explanation: This is the correct answer on Edge 2021, just did the assignment. Hope this helps ^-^.
Factor the trionomial below x2+3x-18
Answer:
(x - 6) (x + 3)
Step-by-step explanation:
g According to the 2010 census, 30% of American adults were worried about global warming. A Gallup poll (assumed to be a random sample) was conducted between March 6 and March 9, 2014 on a random sample of 1048 adults. (a) Describe the sampling distribution of the sample proportion of American adults worried about global warming for a random sample of 1048 American adults. (b) (3 points) Compute the probability that the sample proportion from a random sample of 1048 adults who are worried about global warming is above 35%. (c) (2 points) Based on your answers above, do you think it would be unusual to get 40% of 1048 randomly selected American adults being worried about global warming
Answer:
a) By the Central Limit, the sampling distribution of the sample proportion of American adults worried about global warming is approximately normal with mean 0.3 and standard deviation 0.0142.
b) 0.0002 = 0.02% probability that the sample proportion from a random sample of 1048 adults who are worried about global warming is above 35%.
c) Yes, as 35% already has a z-score above 2, which means that any value above 35%, including 40%, would be unusual.
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.
If the z-score is lower than -2 or greater than 2, the measure X is considered unusual.
Central Limit Theorem
The Central Limit Theorem estabilishes 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]
30% of American adults were worried about global warming.
This means that [tex]p = 0.3[/tex]
(a) Describe the sampling distribution of the sample proportion of American adults worried about global warming for a random sample of 1048 American adults.
Sample of 1048 means that [tex]n = 1048[/tex]
The mean is [tex]\mu = p = 0.3[/tex]
The standard deviation is [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.3*0.7}{1048}} = 0.0142[/tex]
By the Central Limit, the sampling distribution of the sample proportion of American adults worried about global warming is approximately normal with mean 0.3 and standard deviation 0.0142.
(b) (3 points) Compute the probability that the sample proportion from a random sample of 1048 adults who are worried about global warming is above 35%.
This is 1 subtracted by the pvalue of Z when X = 0.35. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.35 - 0.3}{0.0142}[/tex]
[tex]Z = 3.53[/tex]
[tex]Z = 3.53[/tex] has a pvalue of 0.9998
1 - 0.9998 = 0.0002
0.0002 = 0.02% probability that the sample proportion from a random sample of 1048 adults who are worried about global warming is above 35%.
(c) (2 points) Based on your answers above, do you think it would be unusual to get 40% of 1048 randomly selected American adults being worried about global warming
Yes, as 35% already has a z-score above 2, which means that any value above 35%, including 40%, would be unusual.
I WILL GIVE BRAINLIEST IF YOU EXPLAIN YOUR ANSWER!!
Kaylee and Rory have a circular swimming pool. The pool has a cover that fits snuggly over the top of it. If the radius of the pool is 11 ft, what is the surface area of the cover?
Answer:
380.13
Step-by-step explanation:
pi r^2
pi*11^2
pi*121
3.1415926*121
Answer:
379.94 sq. ft.
Step-by-step explanation:
HOPE THIS HELPS
Lorenzo has 5 packs of gum with 10 sticks of gum in each pack. If Lorenzo and 7 friends share the gum equally, how many pieces should each person get? Explain your answer or show your work.
Answer:
Each person would get 7 each
Step-by-step explanation:
[tex]5 x 10 = 50[/tex]
[tex]50 / 7 =[/tex] [tex]7.14285714286[/tex]
[tex]round[/tex]
[tex]7.1 - 7[/tex]
[tex]Therefore[/tex], [tex]7[/tex]
Hope this helps have a nice day :)
Which graph represents the equation -3 x + 5 y = -15
A. Graph A
B. Graph B
C. Graph C
D. Graph D
The point (3,-1) is on the line by which equation below?
Answer:
D. y = x - 4
Step-by-step explanation:
Given the following data;
Points (x, y) = (3, -1)
To find the equation of line;
First of all, we would determine the slope of the graph.
Mathematically, slope is given by the formula;
[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]
[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
Substituting into the equation, we have;
[tex] Slope, m = \frac {5 - 5}{5 - 5} [/tex]
Slope, m = 1
Generally, the equation of straight line is y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
Substituting the values in order to find the intercept, we have;
Using points (x, y) = (3, -1)
-1 = 1*3 + c
-1 = 3 + c
c = -1 - 3
Intercept, c = -4
Therefore, the equation of line becomes;
y = x - 4.
A builder is buying property where she can build new houses the line plot shows the size of the lights for each house which is the average size of the lots
Answer:
Step-by-step explanation:
13,000
create a story problem about a fish tank for the tape diagram below. Your story must include a fraction.
Answer:
Step-by-step explanation:
A large aquarium has a length of 84 inches. It is located in a large basement that is properly heated and ventilated. The width should be close to 1/2 the length and the height ought to be 1/6 the length. If the fish tank requires that an aerator be placed every 28 inches along the back edge, how many aerators are needed. Note: an aerator is not placed in either corner.
Width =_________________
Height= ________________
Aerators = ______________
Find the number of cubic inches of the fish tank. If an aerator will provide enough oxygen to aerate 5 cubic feet,, do you have enough aerators for the fish to live comfortably? If the answer is no, then how many aerators do you need?
Alexis earns $50 a day for five days this week. Her weekly expenses are $280. How can she balance her budget?
a
increase her income $5 each day
b
increase her income $20 this week
c
decrease her expenses by $30
d
decrease her expenses by $20
Answer:
i think the answer is B
Step-by-step explanation:
PLS HELP!!!!!!!!!!!!!!!!!!!! Which number is divisible by both 5 and 6? A. 123,465 B. 132,640 C. 164,780 D. 184,290
A,B helps it help if you doubt used calculator
which has the greatest value,7 x 10^-9 or 6 x 10^-4
pls help
Answer: I think 6 x 10^-4 has the greatest value.
Step-by-step explanation:
plz help me:) thank you so much!
Answer:
DE
Step-by-step explanation:
Please give brainliest!!!
Meredith is standing in a treehouse 16 feet above the ground. Her dad is building a zip line to the ground with 65 feet of cable. How far from the base of the tree will he need to anchor the cable to make the zip line cable tight?
**ENTER NUMERIC VALUE ONLY! DO NOT ENTER UNITS**
Answer:
I have no idea what the answer is, but heres what I think it is.
51 feet, dont add feet to the answer though.
PLEASE RESPOND WITHIN 20 MINUTES PLSSSSSSSSSSSSSSS!!!!!!!!!!!!!!!!!!!!!!!
Answer:
48 of the stamps are not foreign 48 out of 150, this isnt a percentage but the percentage would be 28%
Step-by-step explanation:
68% of 150 would = 102 stamps
subtract 150 by 102 = 48
48 stamps
The length of a rectangle is 8 feet longer than the width and the perimeter is 132 feet. What it the width of the rectangle?
Answer: the width is 29 feet and the length is 37
Step-by-step explanation:
Cashews cost $1.74 per pound. Walnuts cost $1.92 per pound. How much will 3 1/3 pounds of cashews and 2 5/9 pounds of walnuts cost in all
Answer:
Im not sure about my answer but um 11.59 maybe ? sorry if i'm wrong...
Step-by-step explanation:
1.74 x 3= 5.22 1.74 / 3 = 0.58 6.96 + 0.58 = 7.54
1.92 x 2= 3.84 1.92 / 9 = 0.21 3.84 + 0.21 =4.05
7.54 + 4.05 = 11.59
Help with this please! Math :)
Answer:
Step-by-step explanation:
Y = 10x + 4
x = -2 ; y= -16
x=-1 ; y = -6
x=0 ; y=4
x=1 ; y=14
x=2 ; y=24
What two numbers are exactly four units away from 6
Answer:
2 and 10
Step-by-step explanation:
6+4=10, and 6-4=2.
The number four units away from 6 are 2 and 10 and are represented below the number line.
What is a number line?The number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.
A horizontal number line is the most common representation and can be extended infinitely in any direction.
Given that,
Four units away from 6
Four units higher →
6 + 4 = 10
Four units lower →
6 - 4 = 2
In the below number line, it is shown diagrammatically.
Hence "The number four units away from 6 are 2 and 10 and are represented below the number line".
To learn more about the number line,
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The cost of DVDs will grow at a rate of $1.40 each year. In 2013, a new DVD cost $17.99. Let z be the number of years since 2013.
Which function models the price of a new DVD 2 years after 2013?
O f (z) - 17.99 + 1.0147
O f (2) - 17.99 +1.42
f (x) – 17.99(1.4)
O f(z) – 17.99(1.014)
Answer:
A, because A is the answer(I have my reasons) so A.
-4=2/3 b
What would be the best first step to solving the
equation in one step
Which of the ordered pairs form (x, y) is a solution of this equation? 3x + 2y = 6
A. (4, -3)
B. None are solutions.
C. (-2, 0)
D. (8, -5)
Answer:
A
Step-by-step explanation:
3*4 +2*(-3)=6
12-6=6
6=6 which is true
Answer:
A. (4, -3)
Step-by-step explanation:
substitute x and y for 4 and -3 so the equation would be 3(4) + 2(-3) = 6 and 4 times 3 = 12 and 2 times -3 = -6 so then the equation would be 12 + (-6) = 6 or 12 - 6 = 6. Therefore, the answer A is correct
A school theater can sell 41 tickets for a show. If 9 have
been sold, how many tickets are still left to be sold?
45
B В
32
50
369
Answer:
32
Step-by-step explanation:
The jaguars scored 37 points their first game. They scored 58 points their second game. What is their percent change?
Answer:
Change in percent = 56.75 (Approx.)
Step-by-step explanation:
Given:
Score in first game = 37 points
Score in second game = 58 points
Find:
Change in percent
Computation:
Change in percent = [(Score in second game - Score in first game)/Score in first game]100
Change in percent = [(58-37)/37]100
Change in percent = [(21)/37]100
Change in percent = 56.75 (Approx.)
A 15 foot electrical wire cost 16.20 what is the cost per inch
9514 1404 393
Answer:
0.09 per inch
Step-by-step explanation:
There are 12 inches in a foot, so 15 feet is 15×12 = 180 inches.
The cost per inch is found by dividing the cost by the number of inches.
cost per inch = 16.20/180 = 0.09
The cost per inch of electrical wire is 0.09.
Which of these expressions is equivalent to log
(12/5)
?
O A. log (12) - log (5)
O B. 12. log (5)
O C. log (12) + log (5)
O D. log (12) log (5)
The expressions that is equivalent to log (12/5) would be A. log (12) - log (5).
What is logarithm and some of its useful properties?When you raise a number with an exponent, there comes a result.
Lets say you get
a^b = c
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
b = \log_a(c)
'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'
We have given an expression as ;
log (12/5)
We know that
[tex]log_a(b) - \log_a(c) = \log_a(\frac{b}{c})[/tex]
So,
log (12/5) = log (12) - log (5)
Thus, the correct option is A. log (12) - log (5)
The expressions that is equivalent to log (12/5) would be A. log (12) - log (5).
Learn more about logarithm here:
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You conduct a survey in your school to find out each student's favorite fast food restaurant, and you want to create a
graph showing the percentage of students who chose each restaurant. Which is the appropriate graph?
line graph
stem-and-leaf
scatter plot
circle graph
Answer:
circle graph
Step-by-step explanation:
A circle graph (pie graph) will show us the percentage the best way.Answer:
The answer is circle graph
Step-by-step explanation: