factor the polynomial by grouping
\(5 {x}^{2} - 11x + 6\)
The mean of data set A ls 43.5 and the MAD is 3.7. The mean of data set B is 12.8 and the MAD is 4.1.
1. Which data set shows greater variability? Explain your reasoning
Answer:
Data Set B
Step-by-step explanation:
Mean Absolute Deviation(MAD) can be defined as the distance between one data point (value) to the Mean in a give Data set
It can also be defined as the deviation of the mean from the data points or values given in a data set.
From the above question, we are told that:
The mean of data set A ls 43.5 and the MAD is 3.7.
The mean of data set B is 12.8 and the MAD is 4.1.
Comparing the two Data set, the Mean Absolute Deviation of Data set A is smaller than that of Data set B.
Hence, Data set B shows a greater degree of variability because the distance between a data point(value) and the mean is 4.1. This also means that the data points in Set B are more spread out compared to the data points in Set A.
Answer:
b
Step-by-step explanation:
If you invest $2,000 amount you will have in the account after 20 years.at an annual interest rate of 8% compounded continuously, calculate the final
draw angle EFG of size 42 degreees
Angle EFG is an angle with a measure of 42 degrees is drawn below.
Given that, angle EFG= 42 degrees.
Angle EFG is an angle with a measure of 42 degrees. To draw angle EFG, first draw a line segment and mark two points on the line segment. Label the two points E and F. Then, using a protractor, measure out an angle with a measure of 42 degrees from the line segment EF, starting from point E. Finally, mark the end of the angle as point G.
Therefore, angle EFG is an angle with a measure of 42 degrees is drawn below.
To learn more about the construction of an angle visit:
https://brainly.com/question/28451077.
#SPJ1
Which of the following shows the correct solution steps and solution to 2×+ 7 = -11?
Answer:
x = - 9
Step-by-step explanation:
2x + 7 = - 11 ( subtract 7 from both sides )
2x = - 18 ( divide both sides by 2 )
x = - 9
The answer is:
x = -9
Work/explanation:
The point of equations is to find the variable's value by isolating it step-by-step.
For this equation, the variable is x.
To isolate it, I will perform a few operations.
First, I will subtract 7 from each side:
\(\sf{2x+7=-11}\)
\(\sf{2x=-11-7}\)
\(\sf{2x=-18}\)
Divide each side by 2
\(\sf{x=-9}\)
Hence, x = -9.
\(\rule{350}{4}\)
4. Which of the following angles is vertical to angle /DEB?
A
C
109°
E
D
B
Answer:
A
Step-by-step explanation:
Which steps can be used to solve for the value of y ? 23(y+57)=178
Answer:
y= -49.26 or -49 6/23
Step-by-step explanation:
First distribute the 23 to y and 57
23y+1311=178
then subtract 1311 from both sides
23y=-1133
Then divide 23 to both sides
y= -49.2608695652
rounded: -49.3
as a fraction: -49 6/23
A researcher gathers data on the length of essays (number of lines) and the SAT scores received for a sample of students enrolled at his university. Based on his regression output, the 95% confidence interval for the slope of the regression equation is (-0.88, 1.34). At α = 0.05, we can say:
a. the relationship between length of essays and SAT scores is significant and negative.
b. the slope of the regression equation is significantly different from zero.
c. the slope of the regression equation is not significantly different from zero.
d. the correlation between length of essays and SAT score is significant.
Answer
d. the correlation between length of essays and SAT score is significant.
Step-by-step explanation:
According to the case information, we know that the slope of the regression equation is -0.88 to 1.34, so our hypothesis is that the slope coefficient is 0, we deduce that taking into account the confidence interval the value is included by therefore the correct answer is D, which allows us to affirm that the correlation between the duration of the tests and the SAT score is significant
help
A pizza is cut into ten slices. How many slices are there in six pizzas?
On the double number line below, fill in the given values, then use multiplication o
division to find the missing value:
slices
pizzas
There are 60 slices in 6 pizzas. Submit Answer
attempt 1 out
Answer:
60 slices
Step-by-step explanation:
1 pizza = 10 slices
6 pizzas = 10 slices * 6 = 60 slices
WILL GIVE BRAINLIEST FOR CORRECT ANSWER!
Answer:
The average of the numbers Increased by 5
Answer:
The average of the numbers increased by 5.
Step-by-step explanation:
For example average of 1 and 2 is 1.5
Increase 1 by 10 and the average of 11 and 2 is 6.5
Hence, the average increased by 5.
Please help thank you so much Bobby is creating a banner for the homecoming parade. The banner consists of an isosceles triangle, a rectangle, and a semicircle. He wants to add sparkling lights around the trim of the banner.
What is the total length of sparkling lights he can add to the banner?
Answer:
total length =5+5+10+10+π(10/2)=45.71ft.
Perimeter of semicircle
πr8/2π4π12.56ftNow
Total length
3+5+8+10+10+12.56-836+4.5640.56ftFixed costs are $2000, and the cost of producing each pair of skies is $100. The selling price is $220 (per pair). How many pairs should be sold to make a profit of $29200?
260 pairs
Step-by-step explanation:
220-100= 120
(29200+2000)÷120= 260
Which of the following shows the Commutative Property of Multiplication?
A) 4x5=5x4
B) 4×(5+ 8) = (4 × 5) + (4 x 8)
C) 3 x 2) × 7 = 3 ×(2 x 7)
D) 9×7 = 63
The options that shows the Commutative Property of Multiplication is:
A) 4x5=5x4
C) (3 x 2) × 7 = 3 ×(2 x 7)
------------------------------
The commutative property of multiplication states that the order in which the factors are multiplied does not change the product, that is:\(a \times b = b \times a\)
From the options, the ones which shows it are:
A) 4x5=5x4
C) (3 x 2) × 7 = 3 ×(2 x 7)
In C), on the left-side, first 3 is multiplied by 2, then the result 6 is multiplied by 7, resulting in 42. On the right side, 2 is multiplied by 7, resulting in 14, which is multiplied by 3, resulting in 42.
A similar problem is given at https://brainly.com/question/6788284
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Nayeli sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 217 visitors purchased no costume. 113 visitors purchased exactly one costume. 36 visitors purchased more than one costume. Based on these results, express the probability that the next person will purchase one or more costumes as a decimal to the nearest hundredth.
The probability that the next person will purchase one or more costumes as a decimal to the nearest hundredth is 0.443
Out of 217 visitors who came to Nayeli's website, none of them purchased a costume. Therefore, the number of visitors who may purchase a costume is 217 less than the total number of visitors:
Total visitors - No. of visitors who didn't purchase a costume = 217
Total visitors - 217 = No. of visitors who may purchase a costume
Total visitors = 113 + 217+36 = 336
Out of the remaining visitors, 113 purchased exactly one costume, and 36 purchased more than one costume. Therefore, the number of visitors who purchased one or more costumes is:
No. of visitors who purchased one or more costumes = 113 + 36 = 149
Therefore, the probability that the next person will purchase one or more costumes can be expressed as:
Probability = No. of visitors who purchased one or more costumes / Total visitors
Probability = 149 /336 = 0.443
The probability that the next person will purchase one or more costumes as a decimal to the nearest hundredth is 0.443
To learn more about probability:
https://brainly.com/question/30034780
#SPJ9
Answer:
Step-by-step explanation:
.44
The domain of the function f(x)=−3x is restricted to the negative integers. Which values are elements of the range?
answer
\(fx = - 3x \\ \frac{fx}{x} = - \frac{3x}{x} \\ f = - 3\)
Answer:
learning only kang po yan
Step-by-step explanation:
basa lang
please help me????????
Answer:
2. 5x+8
3.5a+2b+2-b
4.15+10y
5.8+9x+5y
6. 9+w(to the fourth power)
7. i cant figure out how to do the last
A restaurant customer left $1.80 as a tip. The tax was 6% and the tip was 20% of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill? OA. The customer left a 20% tip. OB. The customer left $1.80 as a tip. C. The tax was 6%. OD. All of this information is needed to solve the Noblem. The total bill is $
The tip is $1.80.
It is 20% of the after tax cost.
The tax is 6%.
We can write the tip amount in function of the bill B as:
\(\begin{gathered} \text{Tip}=0.2\cdot(1+0.06)\cdot B=0.2\cdot1.06\cdot B=0.212\cdot B \\ 0.212B=1.80 \\ B=\frac{1.80}{0.212}=8.50 \end{gathered}\)The original bill before tax is $8.50.
If we need to calculate the bill after tax (that is, bill + tax), we don't need to know that the tax is 6%, because we would calculate the bill after tax B' as:
\(\begin{gathered} \text{Tip}=0.2\cdot B\text{'}=1.80 \\ B^{\prime}=\frac{1.80}{0.2}=9.00 \end{gathered}\)If we add the tip, the total bill Bt is:
\(B_t=B^{\prime}+\text{Tip}=9.00+1.80=10.80\)Answer:
The information that is not needed to calculate the bill after tax is C. the tax was 6%.
The total bill after tax and tip is $10.80.
need help with geometry
To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:
Volume = π * r² * h
Substituting the given values, we have:
\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)
To solve for h, we divide both sides of the equation by 153.86:
h = 1500 / 153.86
h ≈ 9.75
Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.
Therefore, the height of the cylinder is 9.75 inches.
Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.
For more such questions on volume
https://brainly.com/question/27710307
#SPJ8
plssss help me if your good at finding area in shapes plsss
The given shape is a trapezoid with "bases" 15 and 45, and height 10. So its area is
(15 + 45)/2 • 10 = 300
Algebra!!!! Answer QUICK PLZ
5 questions!!! 50 POINTS!!!!
Answer:
A
C
i don't get the first slide
Step-by-step explanation:
Answer:
A
C
What is the 1st one?? i don't get it.
Step-by-step explanation:
can you come up with a rule for what happens to the signs when you reflect a point across both axes?
→ When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed).
→ If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.
Hope it helps!!
Answer:
(a,b) ⇒ (-a,-b)
Step-by-step explanation:
When you reflect over the x-axis, the y-value changes sign.
When you reflect over the y-axis, the x-value changes sign.
So if you reflect across both, both values change sign. That is, if you reflect the point (a,b) across both axes, you will get (-a,-b)
(I've also attached a table that's handy for other reflections if you're curious)
Question 10 of 25 What is the recursive formula for this geometric sequence? -2,-16, -128, -1024,... A. ○ B. C. (a, D. 3₁ = :-2 an = 2n-1 = = -2 an = an-1.8 • a₁ = 8 an = an-1• (-2) (a₁ = -8 30 = 20-1.2 SUBMIT
Answer:
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2
Step-by-step explanation:
a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r
here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2
HELP ILL MARK BRAINLIEST
1. Calculate...
a) Using Long Division show your work.
(-6x – 5 + x4 + 4x3) - (x2 – 8)
Answer:
its 85
Step-by-step explanation:
The wingspan is 8 inches on a plane. The wingspan of the actual airplane
is how many inches? What is the wingspan of the actual airplane in
feet?
"A waiter believes the distribution of his tips has a model that is slightly skewed to the left​, with a mean of ​$10.60 and a standard deviation of ​$6.60. He usually waits on about 50 parties over a weekend of work. ​a) Estimate the probability that he will earn at least ​$600. ​b) How much does he earn on the best 1​% of such​ weekends?"
Answer:
(a) 0.0668
(b) $638.74
Step-by-step explanation:
Let X denote the tips earned by a waiter.
It is provided that X follows a left-skewed distribution with mean, μ = $10.60 and standard deviation, σ = $6.60.
It is also provided that, the waiter usually waits on about n = 50 parties over a weekend of work.
According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e ∑X, will be approximately normally distributed.
Then, the mean of the distribution of the sum of values of X is given by,
\(\mu_{S}=n\mu\\\)
And the standard deviation of the distribution of the sum of values of X is given by,
\(\sigma_{S}=\sqrt{n}\sigma\)
As the sample size is large, i.e. n = 50 > 30, the Central Limit Theorem can be used to approximate the sampling distribution of total tips by the normal distribution.
The mean and standard deviation are:
\(\mu_{S}=50\times 10.60=530\\\\\sigma_{S}=\sqrt{50}\times 6.60=46.67\)
(a)
Compute the probability that he will earn at least $600 as follows:
\(P(S\geq 600)=P(\frac{S-\mu_{S}}{\sigma_{S}}\geq \frac{600-530}{46.67})\\\\=P(Z>1.50)\\\\=1-P(Z<1.50)\\\\=1-0.93319\\\\=0.06681\\\\\approx 0.0668\)
Thus, the probability that he will earn at least $600 is 0.0668.
(b)
Let x represents his earnings on the best 1% of such weekends.
That is, P (X < x) = 0.99.
⇒ P (Z < z) = 0.99
The corresponding z-score is, 2.33.
Compute the value of x as follows:
\(z=\frac{S-\mu_{S}}{\sigma_{S}}\\\\2.33=\frac{x-530}{46.67}\\\\x=530+(2.33\times 46.67)\\\\x=638.7411\\\\x\approx 638.74\)
Thus, on the best 1% of such weekends the waiter earned $638.74.
Tosh. Inc.'s bonds currently sell for $980 and have a par value of $1,000. They pay a $95 annual coupon and have a 12-year maturity, but they can be called in 3 years at $1,150. What is their yield to call (YTC)?
Answer:
14.24%
Step-by-step explanation:
We have found that the yield to call (YTC) formula is:
YTC = [C + (F-P) / N] / [(F + P) / 2]
Where:
C = Periodic coupon amount = 95
P = Current Price = 980
F = Redemption amount = 1150
N = time left to redemption = 3
We replace:
YTC = [95 + (1150-980) / 3] / [(1150 + 980) / 2]
YTC = 0.1424
In other words, the yield to call (YTC) is equal to 14.24%
An adult ticket to a football game was $1.75. A student ticket was $1.25. The number of student tickets sold was twice the number of adult tickets. The total from the ticket sales was $850. If a represents the number of adult tickets, which linear equation can be used to determine how many adult tickets were sold?
Answer:
1.75/1.25=1.4
Step-by-step explanation:
Evaluate (3x-y)/(3(x-y)) if x = 5 and y = 3. *
Answer:
2
Step-by-step explanation:
Write the equation
\(\frac{3x-y}{3(x-y)}\)
Add the variables
\(\frac{3(5)-3}{3(5-3)}\)
Multiply 3 x 5
\(\frac{15-3}{3(5-3)}\)
Subtract the parentheses
\(\frac{15-3}{3(2)}\)
Subtract the numerator
\(\frac{12}{3(2)}\)
Reduce the fraction with 3
\(\frac{12}{3(2)} = \frac{4}{2}\)
Reduce the fraction again with 2
\(\frac{4}{2} = 2\)
And there's your answer of 2!
Raj is deciding between two cell phone plans, A and B, which are both linear functions. The monthly charge for plan A according to the number of minutes used is shown in the table.
Answer:
A)
P=2x+2\pi rP=2x+2πr
B)
x=\frac{1}{2}(P-2\pi r)x=
2
1
(P−2πr)
C)
x\approx173\text{ feet}x≈173 feet
Step-by-step explanation:
So, the track is composed of a rectangle and two semicircles.
The side length of the rectangle is x, and the radius of the semicircles is r.
Part A)
The perimeter is simply the length around the figure.
We can see that the perimeter will be equivalent to two times x plus two times the circumference of the semi-circles.
Which of the following statements is equivalent to 28 + 16?
14(2 + 2)
4(7 + 4)
4 + (24 + 12)
14(14 + 2)
Answer:
4(7+4)
Step-by-step explanation:
4×7=28
4×4=16
28+16
Answer:
4(7 + 4)
Step-by-step explanation:
28+16 = 44
4×11 = 44