Answer:
D. less variability
Step-by-step explanation:
The MAD is mean absolute deviation which means is the average distance between each value and the mean, so if the average is smaller, the distances are smaller, meaning that there is less variability.
PLEASE HELP ME I WILL LITERALLY GIVE YOU A KISS ON THE CHEEK
Use the function f(x) to answer the questions:
f(x) = 5x2 + 2x − 3
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Answer:
A) x-intercepts are (0.6, 0) and (-1, 0)
B) vertex is (-0.2, -3.2)
C) see attached
Step-by-step explanation:
Part A
Given function: [tex]f(x)=5x^2+2x-3[/tex]
The x-intercepts are when f(x) = 0
[tex]\implies 5x^2+2x-3=0[/tex]
To factor, find two numbers that multiply to -15 and sum to 2: 5 and -3
Rewrite the middle term of the quadratic as the sum of these number:
[tex]\implies 5x^2+5x-3x-3=0[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies 5x(x+1)-3(x+1)=0[/tex]
Factor out the common term [tex](x+1)[/tex]:
[tex]\implies (5x-3)(x+1)=0[/tex]
[tex]\implies (5x-3)=0\implies x=\dfrac35=0.6[/tex]
[tex]\implies (x+1)=0 \implies x=-1[/tex]
Therefore, the x-intercepts are (0.6, 0) and (-1, 0)
Part B
As the leading coefficient of the quadratic is positive, the parabola will open upwards. This means that the vertex will be a minimum point.
The x-coordinate of the vertex is the midpoint of the zeros.
[tex]\sf midpoint=\dfrac{-1+0.6}{2}=-0.2[/tex]
To find the y-coordinate of the vertex, substitute the found value of x into the given equation:
[tex]f(-0.2)=5(-0.2)^2+2(-0.2)-3=-3.2[/tex]
Therefore, the vertex is (-0.2, -3.2)
Part C
Plot the zeros and the vertex.
The axis of symmetry is the x value of the vertex, so ensure that the graph is symmetrical about x = -0.2.
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First, what is volume?
Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface. For example, the space that a substance (solid, liquid, gas, or plasma) or 3D shape occupies or contain
FIRST ONE IS UNDERLINED
Now, lets answer.
Volume = lwh
Surface Area = 2(lw + lh + wh)
So, whats the answer?
Area of the floor is 693 sq ft
--------------Steps--------------
The formula for the area of a rectangle is:
A=l×w
The formula for the volume for a rectangular cube is:
V=l×w×h
We can substitute:
2079ft 3 for V
3ft for h
A for l×w
And then solve for A to find the area of the floor: v=l×w×h becomes:
2079ft 3=A×3ft
Therefore,Area of the floor is 693 sq ft
The second question:
8 1/2 is 8.5. 3 1/4 is 3.25
3*8.5*3.25 = 82.875
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Help..
Beth filled 56 jars with paint.
If each jar holds 1 pint of paint, how many gallons of paint did Beth use?
Beth used ?
gallons of paint.
Answer:
7 gallons
Step-by-step explanation:
8 pints = 1 gallon
56 ÷ 8 = 7
Answer:
7 Gallons
Step-by-step explanation:
Divide the number of pints by 8
56 jars filled each jar holds 1 pint
56 x 1=56
56/8=7
Answer:7 gallons
Beth used 7 gallons of paint
A box of spaghetti is 3 in. wide, 10 in. tall, and 2/3 in. thick. What is the volume of the box of spaghetti?
options:
10 in cubed
15 in cubed
20 in cubed
30 in cubed
Answer:
The spaghetti box is 20 in cubed
Step-by-step explanation:
To get volume, we multiply the length times width times the height. But, to make this easier, we can make 2/3 into a decimal. The decimal form is 0.666666667. Now, we can put the numbers into a calculator.
3 * 10 * 0.666666667 = 20
The spaghetti box is 20 in cubed
math problem please help me
Answer- 400 i think
A=2(wl+hl+hw)
You make a cylindrical glass with an open top in industrial technology class. What is the surface area of the outside of the glass? Round your answer to the nearest hundredth, if necessary.
Answer:
4247.4 cm^2 after rounding to the nearest tenth
or 4247.43 cm^2 after rounding to the nearest hundredth
Step-by-step explanation:
the surface area can be split into 3 parts, the top, bottom, and side
the top and bottom areas are pretty easy, it's just the area of a circle
A = pi*13^2, which is 169pi for one circle, or 338pi for two
now, imagine the middle being unwrapped into a rectangle. the height of this rectangle is 39cm, and the length is just the circumference of the top/bottom circle, which is 2*pi*13, or 26pi cm
area is base*height, so 1014pi
add the two parts up (1014pi+338pi) to get 1352 pi, or about 4247.433
round to the nearest tenth to get 4247.4 cm^2
round to the nearest hundreth to get 4247.43 cm^2
Which statement is true?
Answer:
1/3 = 4/12
Step-by-step explanation:
4/12 can be reduced to 1/3 since 4 goes into 12 three times and into 4 once.
Find the area of the figure. Round your answer to the nearest hundredth, if necessary.
Answer:
127.23
Step-by-step explanation:
Since it is a semicircle, it means that it is half a circleUse the formula [tex]A=\frac{\pi r^{2}}{2}[/tex], where A is the area and r is the radiusRadius is half diameter, so it would be 9Substitute in values[tex]\frac{81\pi}{2}[/tex]=127.23a living room ia 12 feet long if a 2ft 4in shelf is centered on the wall, how far uis it from the edge of the wall to the edge of the shelf?
Answer:
4 feet 10 inches
Step-by-step explanation:
12 feet -2 feet = 10 feet
10 feet - 4 inches = 9 feet 8 inches
half of 9 feet is 4 feet 6 inches
half of 8 inches is 4 inches
4 feet 6 inches + 4 inches = 4 feet 10 inches
Over the past fifteen years, a business owner has made at most $4,000 in profits each week.
Which graph represents the business owner’s possible profits each week?
Answer: 3,120,000
Step-by-step explanation: there are 52 weeks in a year:
52 x 15 = 780
Now multiply the salary to it:
780 x 4,000 = 3,120,000
Please help needed its due soon
take the total surface area = 2πr(r+h)
2×22×3(3+10)
7
=1716
7
= 245.15cm² but i put 245.04 and got it right
Brainliest please!
A pediatricians office tracks the age (in months) in which 25 babies begin to walk. Use the dot plot at the right to answer the questions below. I Added the picture below please help.
0.5x-y≥3
x+y<3
pls show your work
Answer:
x ≥ 4
y ≤ -1
Step-by-step explanation:
x = 4 and y = -1 are the first set of values that can satisfy both conditions.
This chart shows the top five salaries for the Los Angeles Dodgers in 2015. Find the mean and mean absolute value of this set of data. Then, explain what the mean absolute value means within this situation.
Chart⇣
Top Five Salaries
(In millions of dollars)
28
21.8
21.1
19
15.5
IF YOU DONT KNOW DONT PUT AN ANSWER!
Answer:
21.08
Step-by-step explanation:
Mean = {Sum of the terms} ÷ {the number of terms}
5 terms 28, 21.8,21.1,19, and 15.5.
Add those which is your sum.
28+21.8+21.1+19+15.5=105.4
So what you do is what i said above which is {Sum of the terms} ÷ {the number of terms}
So.....
105.4 ÷ 5 = 21.08 and that is the answer.
A rectangle is 4.5 centimeters wide and 6 centimeters long. Calculate the perimeter of the rectangle, in millimeters.
270 millimeters
1.05 millimeters
210 millimeters
105 millimeters
Answer:
210 millimeters
Step-by-step explanation:
There are 10 millimeters in every centimeter.
Width of 4.5cm x 10 = 45 millimeters
Length of 6cm x 10 = 60 millimeters
To figure perimeter, you add all 4 sides.
60 + 60 + 45 + 45 = 210
Perimeter of rectangle = 210 millimeters
The correct option is C.
What is rectangle?A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees. Hence, it is also called an equiangular quadrilateral.
Since, the opposite sides are equal and parallel, in rectangle, therefore, it can also be termed as a parallelogram.
Given,
Length of rectangle = 6 cm
Width of rectangle = 4.5 cm
Perimeter of rectangle = 2(length + width)
= 2(6 + 4.5)
= 2(10.5)
= 21 cm
1 cm = 10 mm
Perimeter of rectangle = 210mm
Hence, 210 millimeters is the perimeter of the rectangle.
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What is the fraction and decimal of 86%?
Light from the sun travels to Earth at a speed of 1.86 × 105 miles/second. How much time will the light take to cover a distance of 9.2 × 107 miles? Write your answer in scientific notation, and round so the first factor goes to the hundredths place.
A. 4.95 × 10-2 seconds
B. 4.95 × 102 seconds
C. 49.5 × 102 seconds
D. 49.5 × 103 seconds
E. 495 × 102 seconds
Answer:
B, I took the test
The probability of rolling two number cubes whose numbers match is 6/36
Where does the number 36 come from?
Explain your thinking.
Answer:
The 36 is the total number of choices possible. Two cubes are rolled. If a 1 is rolled on one cube, there are 6 possible choices on the other cube (1, 2, 3, 4, 5, 6). If a 2 is rolled on one cube, there are 6 possible choices on the other cube (1, 2, 3, 4, 5, 6). After doing this for all 6 numbers on the first cube, you find that there are 6+6+6+6+6+6 or 6*6 possible choices. 6*6 is 36, so that is where the 36 is from. You can also use the Fundamental Counting Principle.
Please help me with this thank you!
Answer:
476
Step-by-step explanation:
For one side of the pyramid:
Since there are two symmetrical triangles on one side of the pyramid, calculate both together as a rectangle.
7x10 = 70cm
There are four equal sides to the pyramid, so multiply the area of one side by 4.
70x4 = 280cm
Finally, calculate the area of the base and add it to the total.
14x14 = 196cm
196+280 = 476cm
Please help, will give brainliest!!
Answer:
C. 45.6 and 135.6
Step-by-step explanation:
Complementary angles add up to 90 supplementary angles add up to 180
Just subtract 90-44.4
and
180-44.4
Oh you got it just ask for help when you ned it.
What is the square root of 117, show your work.
It's approximately equal to 13.3.
Solution:The square root of 117 is a surd, meaning that it can't be expressed as a fraction (in p/q form).The square root of 117 is equal to13.3 (rounded to the nearest tenth)Hope it helps.
Do comment if you have any query.
Answer:10.816
Step-by-step explanation:
Step 1: First, we will pair the digits of 117 from right to left. Place a horizontal bar to indicate the pairs. 17 is one such pair, which leaves 1 as a single digit in the other pair.
Step 2: Now we will find a number which on multiplication with itself gives a product that is less than or equal to 1. We know, 1 × 1 = 1.
Step 3: Now, we bring down 17 and multiply the quotient by 2. This gives us 2. Hence, 2 is the starting digit of the new divisor.
Step 4: 0 is placed at the units place of the new divisor because when 20 is multiplied by 0, we get 0. The answer obtained now is 17 and we bring down 00.
Step 5: The quotient now becomes 10 and it is multiplied by 2. This gives 20, which becomes the starting digits of the new divisor.
Step 6: 8 is placed at the units place of the new divisor because on multiplying 208 by 8 we get 1664. The remainder obtained is 36 and we bring 00 down.
Step 7: The quotient 108 when multiplied by 2 gives 216, which will be the starting digits of the new divisor.
Step 8: 1 is placed at the units place of the divisor because on multiplying 2161 by 1, we will get 2161. The answer obtained is 1439. Next, we will bring down the next pair of numbers, 00.
Step 9: The quotient 1081 when multiplied by 2 gives 2162, which will be the starting digits of the new divisor.
Step 10: 6 is placed at the units place of the divisor because on multiplying 21626 by 6, we will get 129756. The remainder obtained is 14144. We can bring 00 down and repeat these steps until we get the number we want.
Can anyone solve this?
Answer:
[tex]88cm^{2}[/tex]
Step-by-step explanation:
The area of 2 sides of the triangle altogether is 48[tex]cm^{2}[/tex];
The other 2 sides of the triangle has an area of 40[tex]cm^{2}[/tex];
add them together and you have your answer; 88[tex]cm^{2}[/tex].
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I am pretty confident in my answer, but if this is wrong, please tell me and I will fix my mistakes!
Find the surface area of the pyramid. The side lengths of the base are equal.
11.4 yd
6 yd
The surface area is
square yards.
Please help !:)
Answer:
A = 177.46
Step-by-step explanation:
[tex]A = lw + l\sqrt{(\frac{w}{2})^{2} + h^{2}} + w \sqrt{(\frac{l}{2})^{2} + h^{2}[/tex]
A = 6*6+6root((6/2)^2+11.4^2)+6root((6/2)^2+11.4^2)
A = 177.46
can anyone help me with this please?
Answer:7yd
Step-by-step explanation:
Insert the appropriate number in the following sentences so that they describe the combination of opposite quantities that result in 0.
A. Joe borrowed $6 from a friend. To get the money to pay back his friend, he can charge his neighbor $ ( ) to walk her dog on Saturday.
B. After 9 holes, a golfer is 3 over par. To finish this round at par, she will have to complete the last 9 holes at ( ) under par.
C. In March 2012, James Cameron, the director of Titanic, dove 11,034 meters into the Mariana Trench inside the Deepsea Challenger. To return to the surface, the Deepsea Challenger had to ascend ( )
meters.
D. A bathtub that is half full has sprung a leak. It is losing 70 mL of water per second. Therefore, the faucet must run at ( )
mL per second in order for the tub to remain half full.
Answer:
the answer is: 6, 3, 11,034, and 70
Step-by-step explanation:
i've done that problem already.
Answer:
the answer is 6 3 11,034 and 70
Step-by-step explanation:
have a nice day.
Rohan owes $245.00 on his credit card. He makes a $120.00 payment and then purchase $60.00 worth of online games. What is the integer that represents the balance owed on the credit card?
Answer:
its 185.
Step-by-step explanation:
You would subtract the payment he made ($120) from the original balance he owed ($245), which would equal $125. However, you have to factor in the additional $60 he spent on online games (a horrible decision, really) and that would cause you to add $60 more to the debt, all in all adding up to 185. Hope his helps!
ANSWER: THe answer is $185.00 like he said.
Step-by-step explanation:
an i get a brainlisty
Nicole has the cards shown below. All cards are the same size and shape. She put the cards into a bag. Nicole will pull one card out of the bag without looking.
Nicole will perform this experiment a total of 96 times, replacing the card after each pull. What is the total number of times she should expect to pull out a card with an odd number on it?
A.
24 times
B.
32 times
C.
48 times
D.
64 times
Using a Ratio to solve
If we have a ratio of 7/12 odd cards to total cards she can expect to pull out 7 odds in her 12 cards. Now we will use this ratio out of 96 cards. If we have 96 cards with a 7/12 ratio we will divide 96 by 12 which is 8. Now we use our 8 and will multiply it by 7 which is our odd cards. Our total number of odds pulled out of 96 cards will be 56 out of 96.
pls help quick. A teacher surveys a random group of students about their preference for doing classwork online or on paper. The results are shown in the table below. Based on the results, how many students out of 350 will most likely have a preference to do their class work online?
Results:
Online: 17
Paper: 8
The number of students those who will most likely have their preference to do their classwork online is 238 out of 350
What is the probability?The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.
According to the question statement:
A teacher surveys a random group of students about their preference for doing classwork online or on paper.
17 preferred online and 8 preferred on paper.
To find the number of students who will most likely have their preference to do their classwork online:
We will apply the concept of probability.
Probability(Event) = Favorable Outcomes/Total Outcomes
For the survey,
probability of students preferring online mode of classwork is = 17 /(17+8)
= 17/25
= 0.68
Now if we consider a group of 350 students and probability of students preferring online mode of classwork as 0.68
Let m be the number of students preferring online mode of classwork.
m / 350 = 17/25
m / 350 = 0.68
m = 350 x 0.68
m = 238
Therefore, the number of students are 238.
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A car rented for $29 per day plus $.08. Julia paid $46.12 for a one day rental. How far did she drive?
Answer:214
Step-by-step explanation:$46.12-$29 = $17.12
The daily rate is $29. Maria paid an additional $17.12 for the miles that she drove, at a cost of $.08 per mile.
$17.12 divided by $.08 = 214, therefore, Maria drove 214 miles.
Answer the question below
Answer:
The answer is, B / 93.75 square feet
Step-by-step explanation:
Base on of trapezoid = 12.5 ft
Base two iss 0.5 times the length of base one.
Base two = (12.5 x 0.5) ft = 6.25 ft
height = 10 ft
Area of trapezoid ground = 1/2 (sum of the kengths of the parallel sides) x height
= 1/2 (12.5 + 6.25) x 10
= 1/2 x 18.75 x 10
= 93.75 square feet
Hope this help!