Answer:
Step-by-step explanation:
A "common factor" is either a constant coefficient or a variable which shows up in every term of a given algebraic expression.
Here we start with the expression 12n^6 + 27n^2 - 18. 'n' does not show up in every term and thus could not be a "common factor" of this expression. On the other hand, 12, 27 and -18 can all be divided by 3, and so 3 is a common factor.
12n^6 + 27n^2 - 18 = 3(4n^6 + 9n^2 - 6)
1) Identify the common factor (here it's 3)
2) Factor that out of the given expression: 3(4n^6 + 9n^2 - 6)
the circumference of circle x in which a = 49pi in squared
Answer:
C = 14 pi inches
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
49 pi = pi r^2
Divide each side by pi
49 pi/pi = pi /pi r^2
49 = r^2
Take the square root of each side
7 = r
The circumference is given by
C = 2 * pi *r
C = 2 * pi *7
C = 14 pi inches
profit 75% retail $350. what is cost at wholesale
Answer:
The retail price is 350$.
The profit is 75%.
=> Cost at wholesale is: C = 350 - 350 x 75/100 = 87.5$
Hope this helps!
:)
The object below is a cubical lunch box having each edge as 10 cm.
Find its surface area.
A
600 cm2
B
360 cm2
C
300 cm2
D
36 cm2
Answer:
B
Step-by-step explanation:
The total surface area of a cubical lunch box having each edge as 10 cm is 600 square centimeter. Therefore, option A is the correct answer.
What is surface area of a cube?The surface area of the cube all six faces of the cube are made up of squares of the same dimensions then the total surface area of the cube will be the surface area of one face added six times to itself. The formula to find the surface area of a cube is 6a², where a is edge.
Given that, the cubical lunch box having each edge as 10 cm.
Here, surface area = 6×10²
= 600 square centimeter
Therefore, option A is the correct answer.
Learn more about the surface area of a cube here:
brainly.com/question/23273671.
#SPJ2
a man received a salary of 4920 in two years what is his monthly salary?
Answer:
$205 per month
Step-by-step explanation:
Answer:
$205
Step-by-step explanation:
there are 24 months in 2 years
4920/24= 205
C=
5
9
(F−32)
Can someone please help me with this
Answer:
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Step-by-step explanation:
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!
Answer:
D is The correct Answer
Step-by-step explanation:
Answer:
d I'm sorry if its incorrect
What’s the correct answer for this?
Answer:
A
Step-by-step explanation:
Suppose p = 6 and b = 8, so that tan x is 6/8
Then the hypotenuse is sq rt (6x6 + 8x8) = sq rt (36 + 64) = sq rt (100) = 10
So sin x = p / h = 6 / 10
And cos x = b / h = 8 / 10
So A is the answer
Answer:
A. sin x = 6/10 and cos x = 8/10.
Step-by-step explanation:
If tan x is 6/8 the opposite side to x = 6 and the adjacent side = 8.
So the hypotenuse of the triangle = √(6^2 + 8^2)
= √100
= 10.
So sin x = 6/10 and cos x = 8/10.
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
D. [tex] y = {(x + 3)}^{2} - 17[/tex]
Step-by-step explanation:
[tex]y = {x}^{2} + 6x - 8 \\ = {x}^{2} + 6x + 9 - 9 - 8 \\ = {x}^{2} + 6x + {3}^{2} - 17 \\ y = {(x + 3)}^{2} - 17[/tex]
Answer:
The answer is D
Step-by-step explanation:
divide the 6 into 2 parts 6 + x and put the exponent outside of the Parenthesis .
[tex]y =(x +3)^{2} - 17[/tex]
Hoped dis helped Fam
( *︾▽︾)
6th grade math! Help me please :))
Subtract 48-19=29 Correct me if I'm wrong.
That means it's 29 cups.
Answer:
29 cups
Step-by-step explanation:
step 1: since the liquid in the photo is shown to go up to between 18 and 20, it has to be 19 cups.
step 2: so she had 48 cups, right? and she used 19. so we have to subtract 19 from 48.
step 3: 48-19 = 29. she has 29 cups left..
i hope this helps!
How much did deshwan have withheld from his federal income tax
Answer:
$4465.71.
Step-by-step explanation:
Explanation: The amount of federal income tax withheld is on Box 2 of the WW2 form.
Which expresion is not equivalent to 8 +(n-4)
Answer:
The answer to this is n+4.
Step-by-step explanation:
Factor Polynomial
3y^2+y-14
Answer:
Factored Form: ( y - 2 )( 3y + 7 )
Step-by-step explanation:
1. Let us first write down the problem at hand: 3y^2 + y - 14
2. Now let us break this expression into groups:
3y^2 - 6y + 7y - 14 ⇒ ( 3y^2 - 6y )( 7y - 14 )
3. Factor 3y from 3y^2 - 6y:
3y^2 - 6y ⇒ 3y( y - 2 )
4. Factor 7 from 7y - 14:
7y - 14 ⇒ 7( y - 2 )
5. Substitute Step #3, 4 ⇒ Step #2:
3y( y - 2 ) + 7( y - 2 )
6. Factor common term y - 2:
Answer: ( y - 2 )( 3y + 7 )
Score data from a statewide exam for 10th-graders follows a normal distribution, has a mean of 77, and has a standard deviation of 6.5. According to the Empirical Rule, 34% of test scores fall into what range? Select all that apply.
Given Information:
Mean test score = μ = 77
Standard deviation of test score = σ = 6.5 seconds
Answer:
The lower limit represents those 34% test scores which are below the mean test score.
The range of test scores will be (70.5 to 77)
The upper limit represents those 34% test scores which are above the mean test score.
The range of test scores will be (77 to 83.5)
Step-by-step explanation:
Normal Distribution:
We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.
The Empirical Rule:
The empirical rule states that approximately 68% of all the data lie within 1 standard deviation from the mean, approximately 95% of all the data lie within 2 standard deviations from the mean and approximately 99.7% of all the data lie within 3 standard deviations from the mean.
68% of all the data lie within 1 standard deviation from the mean, so that means 34% (half of 68%) of the test scores will be below the mean test score and remaining 34% of the test scores will be above the mean test score.
The confidence interval is given by
[tex]CI = \mu \pm 1 \cdot \sigma \\\\CI = 77 \pm 1 \cdot (6.5) \\\\CI = 77 \pm 6.5 \\\\Lower \: limit = 77 - 6.5 = 70.5 \\\\Upper \: limit = 77 + 6.5 = 83.5 \\\\[/tex]
The lower limit represents those 34% test scores which are below the mean test score.
So the range of test scores will be (70.5 to 77)
The upper limit represents those 34% test scores which are above the mean test score.
So the range of test scores will be (77 to 83.5)
What is the volume of this cube with a side length of 6 centimeters
6 cm
Answer:
V = 216 cm^3
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
V = (6)^3
V = 216 cm^3
Answer:216 cm^3
Step-by-step explanation:
In cube, the length of all sides are equal
length of side=6cm
Volume of cube=length x length x length
Volume of cube=6 x 6 x 6
Volume of cube=216
Volume of cube=216 cm^3
Complete the 3 questions for 10 points.
Answer:
Look below.
Sorry if the graph's aren't good.
Step-by-step explanation:
13) I'll attach a pic of my graphs:
Slope intercept form is y = mx + b
y = 2x + 1
m = 2
b = 1
14) y = 3/ 5x - 5
m = 3/5
b = -5
15) y = 1/4x - 8
m = 1/4
b = -8
6th grade math help me please ! :))
Answer:
210 pounds because after 7 days (week) thats how much bambo the panda will eat
Step-by-step explanation:
90 pounds = 3 days
6 days = 180 pounds
1 day = 30 pounds
180 +30= 210 pounds
Galen sold tickets for his church’s carnival for a total of $2,820. Children’s tickets cost $3 each and adult tickets cost $5 each. The number of children's tickets sold was 30 more than 3 times the number of adult tickets sold. How many children’s tickets and how many adult tickets did he sell?
Answer:
a = 195 ; c = 615
Step-by-step explanation:
So, you want to start by forming your equations...
I will use 'c' for children and 'a' for adults for my variables
3a + 30 = c
(this is because of the info that 30 more tickets than 3 times the amount of children's were sold than adult)
then for equation 2:
3c + 5a = 2820
(this is because of the prices of the tickets and the total money raised)
Then, plug in the equation for c
Your equation should look like:
3(3a + 30) + 5a = 2820
You get:
(9a +90) + 5a = 2820
Then:
14a = 2730
So:
a = 195 adult tickets sold
Plug in a, to find c:
3 (195) + 30 = c
585 + 30 = c
c = 615 children tickets sold
To study the effects of an advertising campaign at a supply chain, several stores are randomly selected with the following observed before‐ and after‐advertising monthly sales revenues: Store number 1 2 3 4 5 Old sales revenue (mil. $) 6.5 4.8 7.9 6.2 7.1 New sales revenue (mil. $) 7.5 6.3 7.1 7.8 8.9 Let μ₁ and μ₂ be the means of old and new sales revenues, both in millions of dollars per month. (a)[7] At α = 0.05, test H₀: μ₂ ≤ μ₁ versus H₁: μ₂ > μ₁. Sketch the test. Interpret your result. (b)[3] Sketch and find the p‐value of the test. Would you reject H₀ if α = 0.01? Hint: Use 5 decimals. Refer to some Excel lookups: αv 0.990 0.990 0.950 0.950
Answer:
Check the explanation
Step-by-step explanation:
Part a
H0: µ2≤µ1 versus H1: µ2>µ1
(Upper tailed test)
WE will consider differences as (New – Old).
From given data, we have
Dbar = 0.70
SD = 0.70
n = 5
Degrees of freedom = df = n – 1 = 5 – 1 = 4
Test statistic = t = (Dbar - µd) /[SD/sqrt(n)]
t = (0.70 – 0)/[0.70/sqrt(5)]
t = 0.70/ 0.3130
t = 2.2361
Critical value = 2.1318
(by using t-table)
P-value = 0.0445
(by using t-table)
P-value < α = 0.05
So, we reject the null hypothesis
There is sufficient evidence to conclude that the average monthly sales revenue increases after the advertising.
Kindly check the first attached image for the graphical table.
Part b
P-value = 0.0445
α = 0.01
P-value > α = 0.01
So, we do not reject the null hypothesis
There is insufficient evidence to conclude that the average monthly sales revenue increases after the advertising.
Kindly check the second attached image for the graphical table.
1 Which of the following is the correct way to expand a factorial?
A
7! = 7 x 7 x.7 x 7 x 7 x 7 x 7
B
7! = 7 X 6 X 5 X 4 x 3 x 2 x 1
C 7! = 7 x 5 x 3 x1
D
7! = 7
o
Answer:
B
7! = 7 X 6 X 5 X 4 x 3 x 2 x 1
Step-by-step explanation:
n! is the product of all natural numbers until n
7! = 1 × 2 × 3 × 4 × 5 × 6 × 7
The answer is B 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1
To test if the mean IQ of employees in an organization is greater than 100, a sample of 30 employees is taken and the value of the test statistic is computed as t=1.42. If we choose a right tailed test at a 5% significance level, we
a) do not reject the null hypothesis and conclude that the mean IQ is not greater than 100
b) do not reject the null hypothesis and conclude that the mean IQ is greater than 100
c) reject the null hypothesis and conclude that the mean IQ is not greater than 100
d) reject the null hypothesis and conclude that the mean IQ is greater than 100
Answer:
[tex]p_v =P(t_{(29)}>1.42)=0.0831[/tex]
For this case the p value calculated is higher than the significance level used of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:
a) do not reject the null hypothesis and conclude that the mean IQ is not greater than 100
Step-by-step explanation:
Information given
We want to verify if he mean IQ of employees in an organization is greater than 100 , the system of hypothesis would be:
Null hypothesis:[tex]\mu \leq 100[/tex]
Alternative hypothesis:[tex]\mu > 100[/tex]
The statistic for this case is given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
The statistic calculated for this case [tex]t_{calc}= 1.42[/tex]
The degrees of freedom are given by:
[tex]df=n-1=30-1=29[/tex]
Now we can find the p value using tha laternative hypothesis and we got:
[tex]p_v =P(t_{(29)}>1.42)=0.0831[/tex]
For this case the p value calculated is higher than the significance level used of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:
a) do not reject the null hypothesis and conclude that the mean IQ is not greater than 100
The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (in minutes; mean = 114.15): 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118. What is the range?
Answer:
The range will be 103 because 148-45 = 103
A = {1, 2, 5, 7}
B = {3, 4, 6, 7}
C = {0, 5, 8, 9}
Find A U B U C.
Answer: In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations through which sets can be combined and related to each other.
A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }
Step-by-step explanation:
A = {1, 2, 5, 7}
B = {3, 4, 6, 7}
C = {0, 5, 8, 9}
A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }
If 3^x = 5, then 3^2x+3 = ?
Answer:28
Step-by-step explanation:
3^x=5
3^2x+3
(3^x)^2 + 3
Substitute 3^x=5 in (3^x)^2 + 3
5^2 + 3
5x5+3=28
what are the dimensions for this triangle?
Answer:
2 and 2
Step-by-step explanation:
Parallel sides of rectangles are congruent, and because the other side of both rectangles is 2, the sides of the triangle are 2 because they share the side with the rectangle.
Jen's test grades for this term are 85, 92, and 95. She wants to have a test average of at least 90 for this term, and she will have one more test. What is the lowest score that she can get to have a test average of at least 90?
Answer:
88 points
Step-by-step explanation:
If she has 85, 92, and 95, she has an average of 90 2/3. To get the lowest score, first do 272+90=362. 362/4=90.5. Next do 272+88, the next lowest even number. 272+88=360. 360/4=90.
Answer:
88 points
Step-by-step explanation:
An experiment involves rolling a die and drawing a card from a standard deck of 52 cards.
What is the probability that the die lands on 4 and the card is a heart?
Enter your answer as a reduced fraction, like this: 3/14
Answer:
1/24
Step-by-step explanation:
1 of the 6 possible rolls is a 4, meaning there is a 1/6 probability of rolling 4.
13 of the 52 cards are hearts, meaning that there is a 1/4 probability of drawing a heart.
1/6 * 1/4 = 1/24
Probability. Help! I'll give you Brainliest if correct as well as quite a bit of points.
A card is chosen at random from a standard deck of 52 cards, and then it is replaced and another card is chosen. What is the probability that at least one of the cards is a diamond or an ace?
Answer:
54%
Step-by-step explanation:
Because I said so and if it is wrong then give me the phone number of the person who assigned the question.
There are five families that each have one child. Each of them hires Riley as a babysitter. Because the children she babysits are different ages, Riley charges each family a different amount. To visualize her earnings, Riley recorded and plotted her pay from each job. Using the scatterplot, calculate her average rate of pay.
Answer:
Average Rate of Pay = $ 5.23 /hr
Step-by-step explanation:
We have a data in form of Hours of Baby Sitting and Amount of Pay. Since the Amount of pay depends upon the Hours of Baby Sitting. Thus, we take y = Amount of Pay, while x = Hours of Baby Sitting. So, the data becomes:
x (Hours) = 12 13 16 17 20
y ($) = 54 56 65 64 100
The statistical data calculated is:
∑x = 78, ∑x² = 1258, ∑y = 339, ∑xy = 5504, n = no. of data points = 5
Now, we use linear regression model to fit a straight line to this data.
y = a + bx --------- eqn (1)
where,
b = [ n∑xy - ∑x.∑y]/[n∑x² -(∑x)²]
b = [ (5)(5504) - (78)(339)]/[(5)(1258) - (78)²]
b = 5.23
and,
a = (∑xy - b∑x²)/∑x
a = [5504 - (5.23)(1258)]/78
a = -13.83
Therefore, eqn (1) becomes:
y = -13.83 + 5.23x
The graph plot of this straight line fit is provided in the attachments.
Now, we derivate the equation with respect to x, to get the average rate of pay:
Average Rate of Pay = dy/dx = d/dx(-13.83 + 5.23x)
Average Rate of Pay = $ 5.23 /hr
Lila has 7 markers in her art box. She has 6 times as many crayons. How
many crayons does she have?
Answer:
42 is answer
6 times 7 or 6 × 7 = 42
Answer:
42
Step-by-step explanation:
6x7 is 42 if you need help remembering, remember this "6 and 7 went to the zoo they counted the animals and saw 42"
Factor the trinomial.
The factors of m2 + 12m + 35
Answer:
(m + 7)(m + 5)
Step-by-step explanation:
Factor, find factors of m² & 35 that, when combined, will give 12m:
m² + 12m + 35
m 7
m 5
(m + 7)(m + 5) is your answer.
Check: Use the FOIL method to check.
(m)(m) = m²
(m)(5) = 5m
(7)(m) = 7m
(7)(5) = 35
Combine like terms:
m² + (5m + 7m) + 35 = m² + 12m + 35 √.
Answer:
(m+7) and (m+5)
Step-by-step explanation:
Just had this on a test
