Answer:
Step-by-step explanation:
8.4 x 2 = 16.8
the ricardo household used w cubic feet of water during a summer month express the number of ccf of water they used algebraically
Ricardo used w/100 Ccf of water.
Given that, Ricardo household used w cubic feet of water in a month of summers,
we need to express the number of ccf of water they used algebraically,
Ccf = A CCF is a unit of measurement of volume.
The CCF is used to measure gas consumption, used in the billing of natural gas and water delivered to households.
1 CCF = 100 cubic feet
CCF means Centum Cubic Feet.
1 cubic feet = 0.01 Ccf
Therefore,
w cubic feet = 0.01 × w Ccf
= w / 100
Hence, Ricardo used w/100 Ccf of water.
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A 30 pack of copy paper cost $48.30 a 32 pack cost $49.60 which is the better buy (help me explain it)
Answer:
Step-by-step explanation:
the 32 pack because it costs just slightly more
The box plot represents the number of tickets sold for a school dance.
A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.
Which of the following is the appropriate measure of center for the data, and what is its value?
The mean is the best measure of center, and it equals 19.
The median is the best measure of center, and it equals 4.
The median is the best measure of center, and it equals 19.
The mean is the best measure of center, and it equals 4.
The optimal measure of variability is the IQR, which equals 4. The proper measure of variability for the data is C.
How is IQR the best measure of variability?The difference among the third and the first quartile is defined by the interquartile range. The entire series is divided into four equally sized pieces by the partitioned values referred to as quartiles. Three quartiles are present.
The spread of the middle 50% of the data, which is less susceptible to outliers than the range, is measured by the interquartile range (IQR), which is the best measure of variability for these data.
The IQR is calculated by deducting the third quartile ([tex]Q_3[/tex]) from the first quartile ([tex]Q_1[/tex]). We can see from the box plot that [tex]Q_1[/tex] is roughly
17 and [tex]Q_3[/tex] is roughly 21.
Therefore,
[tex]IQR=Q_3-Q_1\\\\IQR=21-17\\\\IQR=4[/tex]
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Send total home runs during the baseball season for over five other home runs during the first half of the season what is the fraction of home run hit through and a half of the season as a decimal
Terrell hit 0.8 of his home runs during the first half of the baseball season, which is the decimal equivalent of the fraction (4)/(5).
A fraction is a way of representing a part of a whole, where a whole is divided into equal parts and the fraction represents the number of those equal parts that are being considered.
A decimal number is a number expressed in the base-ten positional system, where each digit can take one of ten possible values and the value of each digit is determined by its position relative to the decimal point.
To write a fraction as a decimal, you simply divide the numerator (the top number) by the denominator (the bottom number). In this case, the fraction is (4)/(5), which means Terrell hit 4 out of 5 home runs during the first half of the season
(4)/(5) = 0.8
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The given question is incomplete, the complete question is:
Terrell hit a total of 10 home runs during the baseball season. He hit (4)/(5) of the home runs during the first half of the season. Write the fraction of home runs hit during the first half of the season as a decimal.
James fills the rectangular prism 80 percent with sand. How many cubic inches of sand are in the rectangular prism.
The volume of sand in the rectangular prism is 80 percent of the total volume, which can be written as:
0.8 x V = 0.8(L x W x H) cubic inches
What is rectangular prism?A three-dimensional object with six faces, including two at the top and bottom and four lateral faces, called a rectangular prism. The prism's faces are all rectangular in shape. There are three sets of identical faces as a result.
We need to know the dimensions of the rectangular prism to solve the problem. Let's assume the dimensions are length = L inches, width = W inches, and height = H inches.
The volume of the rectangular prism is given by V = L x W x H cubic inches.
If the rectangular prism is filled 80 percent with sand, then 20 percent of the volume is empty space. So, the volume of sand in the rectangular prism is 80 percent of the total volume, which can be written as:
0.8 x V = 0.8(L x W x H) cubic inches
Therefore, we need to know the dimensions of the rectangular prism to find the volume of sand.
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The complete question is:
James fills the rectangular prism 80 percent with sand. How many cubic inches of sand are in the rectangular prism?
The volume of a volleyball is approximately 113 in ^3. What is its diameter? Round your answer to the nearest whole number.
A. 13 in
B. 6 in
C. 2 in
D. 5 in
will give brainliest
If the volume of a volleyball is approximately 113 in³, then the diameter of the volleyball is approximately option (D) 5 inches.
The formula for the volume of a sphere is
V = (4/3)πr³
where V is the volume, π is pi (approximately 3.14), and r is the radius of the sphere.
We are given the volume of the volleyball as 113 in³, so we can solve for the radius as follows
113 = (4/3)πr³
r³ = 113 / ((4/3)π)
r³ ≈ 21.50
r ≈ 2.8
To find the diameter, we double the radius:
d = 2r ≈ 5.6
Rounding this to the nearest whole number
d = 5 in
Therefore, the correct option is (D) 5 in
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the time it takes to cover the distance between two cities by car varies inversely with the speed of the car. the trip takes hours for a car moving at . how long does the trip take for a car moving at ?
The time takes by car to cover the distance between two cities by car varies inversely with the speed of car. Total 5 hours will consume to complete the trip with a car moving at 40 mph.
Time is taken in traveling a particular distance is proportional to the distance traveled which means more distance covered in more time.
The speed of an object is defined as the 'distance traveled per unit time'. Formula is written as [tex]Speed(s ) = \frac{Distance(d)}{Time(t)}[/tex]
Distance(d) = Speed(r)×Time(t)Time(t) = Distance(d)/Speed(s)Now, Speed of car (s) = 50 miles per hour
Car takes 4 hours to complete the trip. Let the distance travelled by car in 4 hour during the trip be 'x'. Applying the speed formula, [tex]50 mph = \frac{ x}{4 \: \: hours}[/tex]
=> x = 4 × 50 miles
=> x = 200 miles
Now, if the speed of car (s') = 40 mph in the trip. We have to determine the time taken by car to complete the trip with 40 mph speed. So, we know the speed of car and total distance travelled by car on trip. Using the time formula,[tex]time ( t') = \frac{distance (x) }{ speed( s')} [/tex]
=> [tex] time (t') = \frac{ 200 \: miles}{ 40 \: mph}[/tex]
= 5 hours.
Hence, required value of time is 5 hours.
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Complete question :
The time it takes to cover the distance between two cities by car varies inversely with the speed of the car. The trip takes four hours for a car moving at 50 mph. How long does the trip take for a car moving at 40 mph?
Q4: The walking distance that is saved by cutting across the lot is?
The walking distance that is saved by cutting across the lot is 55.
What is a right angle triangle?A right triangle, also known as a right-angled triangle, is a triangle that has one angle that measures 90° (a right angle). The remaining two angles are acute, or less than 90°
Apply right angle triangle rules;
⇒ 38² = (x+14)² + x²
⇒ 1444 = x² + 196 + 28x + x²
⇒ 2x² + 28x - 1248 = 0
⇒ x = 19 and x = -33
Therefore, the walking distance that is saved by cutting across the lot is:
⇒ x + x + 14
⇒ 19 + 19 + 14
⇒ 52
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PLEASE HELP. Lesson 15.3 Tangents and Circumscribed Angles
Proof of Circumscribed Angle Theorem
Given: ZAXB is a circumscribed angle of circle C.
Prove: ZAXB and ZACB are supplementary.
Complete the proof.
A
B
C
If ZAXB is a circumscribed angle of circle C, XA and XB are
Select an answer to the circle
Therefore, angles ZACB and ZAXB are congruent, and since they are complementary to angles ZAO and ZBO, respectively, they must be supplementary.
What is Circumscribed Angle Theorem?The Circumscribed Angle Theorem states that an angle formed by two intersecting chords in a circle is half the sum of the measures of the intercepted arcs. More formally, if two chords of a circle intersect at point P, then the measure of the angle formed by the chords (let's call it angle ABC) is equal to half the sum of the measures of the arcs intercepted by the angle.
Here,
To prove that ZAXB and ZACB are supplementary, we need to show that the sum of their measures is 180 degrees. Here's the proof:
Given: ZAXB is a circumscribed angle of circle C.
To Prove: ZAXB and ZACB are supplementary.
Proof:
Draw circle C with center O and circumscribed angle ZAXB.
Draw radii OA, OB, and OC to the points of intersection A, B, and C.
Since XA and XB are tangent to circle C at points A and B, respectively, we know that angles OAX and OBX are right angles.
Therefore, angles ZAO and ZBO are complementary to angles ZAC and ZBC, respectively.
By the Inscribed Angle Theorem, we know that angles ZAO and ZBO are congruent to angle ZAXB.
Therefore, angles ZACB and ZAXB are congruent, and since they are complementary to angles ZAO and ZBO, respectively, they must be supplementary.
Thus, we have proven that ZAXB and ZACB are supplementary.
Therefore, the proof is complete.
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Given a circle has a center at (-6, 14) and a diameter of 30, write the equation of the circle
Answer:
The center of the circle is at (-6, 14), and the radius is 15, so we have this equation:
[tex] {(x + 6)}^{2} + {(y - 14)}^{2} = 225 [/tex]
A researcher wants to determine whether there is a linear relationship between number of rom-com movies and engagements. The table displays a partial computer printout of the regression analysis and is based on a sample of eight subjects.
Predictor Coeff St. Dev t Ratio p-Value
Constant 4.35744984 2.385747738 5.7382918 0.00375268
Rom-com movies 1.34457321 0.526645738
What is the value of the t-test statistic for H0: β = 0
The value of test statistic is 2.553089.
What is a test statistic?A test statistic is a numerical summary of a sample that is used to make inferences about the population from which the sample was drawn. It is often used in hypothesis testing to determine whether a null hypothesis should be rejected or not.
The test statistic is calculated from the sample data and is compared to a distribution of the test statistic under the null hypothesis. If the test statistic falls in a region of the distribution that is unlikely to occur by chance, then the null hypothesis is rejected in favor of an alternative hypothesis.
Value of test Statistic = 1.34457321/0.526645738
= 2.553089
So, value of test statistic is 2.553089
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A scuba diver dives -13.75 feet on Monday. On Tuesday, she dives 4 times as deep as Monday. How deep does the scuba diver dive on Tuesday. Write a rational number to represent the diver's location relative to the surface of the water
Therefore , the solution of the given problem of unitary method comes out to be to the water's surface on Tuesday is -55/1.
What is an unitary method?To complete the assignment, use the iii . -and-true basic technique, the real variables, and any pertinent details gathered from basic and specialised questions. In response, customers might be given another opportunity to sample expression the products. If these changes don't take place, we will miss out on important gains in our knowledge of programmes.
Here,
The scuba diver goes four times as deep on Tuesday than he did on Monday, which was -13.75 feet.
Let's determine the depth of the Tuesday dive by the scuba diver:
=> Depth on Tuesday equals 4 times Monday's depth.
=> Tuesday's depth = 4 * (-13.75)
=> Tuesday's depth = -55.
So, on Tuesday, the scuba diver goes down to a depth of -55 feet.
The diver's position with respect to the water's surface can be expressed as a rational number by writing it as -55/1 as -55 is already a whole number.
The rational number corresponding to the diver's position with respect to the water's surface on Tuesday is therefore -55/1.
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What is the equation of the line 2x+3y+1=0 after it has been reflected across y=-1 and rotated about o(2,3) by 180
The equation of the line 2x + 3y + 1 = 0 after it has been reflected across y = -1 and rotated about O(2,3) by 180 degrees is -2x + y = 15.
To reflect the line 2x + 3y + 1 = 0 across the line y = -1, we need to subtract twice the y-coordinate of each point on the line from the equation of the line.
This is because the reflection of a point across a line is obtained by reflecting it across the line's perpendicular bisector, which is also the line with the same x-coordinates and twice the distance from the point to the line.
Subtracting twice the y-coordinate, we get:
2x + 3(-2y - 1) + 1 = 0
Simplifying the equation, we get:
2x - 6y - 5 = 0
Now, to rotate the line about the point O(2,3) by 180 degrees, we can use the rotation formula:
x' = 2a - x
y' = 2b - y
where (x,y) are the coordinates of a point on the original line, and (x',y') are the coordinates of the same point after rotation about the point (a,b).
Substituting the coordinates of two points on the line, we get:
(0,-1) → x' = 2(2) - 0 = 4, y' = 2(3) - (-1) = 7
(-1/2,0) → x' = 2(2) - (-1/2) = 4 1/2, y' = 2(3) - 0 = 6
Now, we can use the two points (4,7) and (4 1/2,6) to find the equation of the rotated line using point-slope form:
slope = (6-7) / (4 1/2 - 4) = -2
y - 7 = -2(x - 4)
y = -2x + 15
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.
Which equation is a step in solving the equation |5 − 3x| + 2 = 19?
A.
5 − 3x = -17
B.
|5 − 3x| = -17
C.
5 + 3x = -17
D.
|5 + 3x| = 17
Answer:
Step-by-step explanation:
The absolute value (or modulus) | 5 - 3x | of a real number 5 - 3x is the non-negative value of 5 - 3x without regard to its sign.
| 5 - 3x| + 2 = 19
| 5 + 3x | = 19 - 2
| 5 + 3x | = 17
Ans: D
a man can hit his target 25% of the time if he fires 4 shots in succession what is the probability that he will hit his target
The probability that the man will hit his target at least once in 4 shots is calculated using the complementary probability of him missing all 4 shots. Since he hits his target 25% of the time, he misses it 75% of the time.
The probability of missing all 4 shots is (0.75)^4 = 0.3164.
Now, to find the probability of hitting the target at least once, subtract the probability of missing all shots from 1:
1 - 0.3164 = 0.6836 or 68.36%.
So, the probability that the man will hit his target at least once in 4 shots is approximately 68.36%.
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Complete the table using the information given.
Using the above information, we can calculate the missing figures in the table and this is shown on the table attached.
What is the table about?For the "Shorts" row: It's given that 42 people were wearing shorts.
Since it's mentioned that twice as many people were wearing closed-toed shoes as open-toed shoes, and 30 people were wearing open-toed shoes, we can deduce that 30 people were also wearing closed-toed shoes.So, the total number of people wearing closed-toed shoes is 30, and the total number of people wearing shorts is also 42, since they are the same group of people.Therefore, the "Close-Toed Shoes" column in the "Shorts" row is also 42, and the "Total" column is the sum of open-toed and closed-toed shoes, which is 84.
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See text below
30 people surveyed were wearing open-toed shoes.
1/3 of the people with open-toed shoes were wearing
pants.
• 42 people were wearing shorts.
Twice as many people were wearing closed-toed shoes
than open-toed shoes.
Complete the table using the information given.
Open-Toed Shoes Close-Toed Shoes Total
Shorts ------- ------ --------
Pants ------ ---------- ------
Total ------ ---------- ---------
4. The radius of a cylinder is 3x-2 cm. The height of the cylinder is x +3 cm. What is the
surface area of the cylinder? Use the formula A=2x²+2xrh.
02x (3x2+10x-8)
O 27(12x+7x-2)
O 27(12x²-2x+13)
O 27(12x²-5x-2)
Answer:
D: 27(12x² - 5x - 2).
Step-by-step explanation:
The formula for the surface area of a cylinder is: A = 2πr² + 2πrh
Given that the radius of the cylinder is 3x - 2 cm and the height is x + 3 cm, we can substitute these values in the formula and simplify:
A = 2π(3x - 2)² + 2π(3x - 2)(x + 3)
A = 2π(9x² - 12x + 4) + 2π(3x² + 7x - 6)
A = 18πx² - 24πx + 8π + 6πx² + 14πx - 12π
A = 24πx² - 10πx - 4π
A = 2π(12x² - 5x - 2)
Therefore, the answer is option D: 27(12x² - 5x - 2).
Answer:
D
Step-by-step explanation:
A factory has two assembly lines, M and N, that make the same toy. On Monday, only assembly line M was functioning and it made 900 toys.
On Tuesday, both assembly lines were functioning for the same amount of time. Line M made 300 toys per hour and line N made 480 toys per hour. Line N made as many toys on Tuesday as line M did over both days.
Write an equation that can be used to find the number of hours, t, that the assembly lines were functioning on Tuesday.
Answer: First choice 480t = 300t + 900
Step-by-step explanation:
A factory has two assembly lines, M and N, that make the same toy. On Monday, only assembly line M was functioning and it made 900 toys.
On Tuesday, both assembly lines were functioning for the same amount of time. Line M made 300 toys per hour and line N made 480 toys per hour. Line N made as many toys on Tuesday as line M did over both days.
Write an equation that can be used to find the number of hours, t, that the assembly lines were functioning on Tuesday.
ANS
Let say t is time in hrs for Which Both Assembly line worked
M made 300 toys per hr on Tuesday
Toys made on Tuesday at Assembly line M = 300 × t = 300t toys
N made 480 toys per hr on Tuesday
Toys made on Tuesday at Assembly line N = 480 × t = 480t toys
Toys Made by N on Tuesday = Toys made by M on Tuesday + Toys made by M on Monday
480t = 300t + 900
=> 180 t = 900
=> t = 900/180
=> t = 5 hr
N capacity on tuesday Per hour * t = M capacity on tuesday per hour * t + Toys made by M on Monday
N = N capacity on tuesday Per hour
M = M capacity on tuesday Per hour
=> t (N - M ) = 900
=> t = 900/(N-M)
i need some help with this problem i don’t really understand it
Answer:
-34x+29
Step-by-step explanation:
[tex]7(5-x)-3(9x+2)=7.5-7x-3.9x-3.2=35-7x-27x-6\\=-34x+29[/tex]
I NEED HELP ON THIS ASAP!! PLEASE IT'S DUE TODAY!
The exponential function to represent the number of new participants of the challenge as a function of the day number, is f(x) = 12 × 4ˣ.
How to find the exponential function ?Let f(x) be the number of new participants on day x.
On day 0 (today), Aliyah, Kim, and Reese are the only participants. They each send selfies to 4 friends, so there will be 3 x 4 = 12 new participants on day 1.
From day 1 onwards, each new participant will send selfies to 4 friends. Therefore, the number of new participants will quadruple each day. This gives us an exponential growth function:
f(x) = 12 × 4ˣ
where f(x) represents the number of new participants on day x.
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One-Sample T-Test
Problem 1:
Reading level: A school librarian purchases a novel for her library. The publisher claims that the book is
written at a fifth-grade reading level, but the librarian suspects that the reading level is lower than that.
The librarian selects a random sample of 40 pages and uses a standard readability test to assess the
reading level of each page. The mean reading level of these pages is 4.8 with a standard deviation of 0.8.
Do these data give convincing evidence at the a=0.05 significance level that the average reading level of
this novel is less than 5?
We reject the null hypothesis relationally and come to decide that there is ample proof at the 0.05 importance threshold that suggests the average reading level of the work is below 5.
How to explain the hypothesisPlugging our values into the equation, we acquire t = (4.8 - 5) / (0.8 / ✓(40)) = -1.8257; where the degrees of freedom for this experiment is 39.
Turning to a t-distribution table or calculator, the p-value amounts to 0.0392 when making a one-tailed exam with 39 degrees of freedom.
Significantly, the p-value is lesser than the significance level of 0.05; thus, we reject the null hypothesis relationally and come to decide that there is ample proof at the 0.05 importance threshold that suggests the average reading level of the work is below 5.
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Frank and Joey ordered a large pizza. Frank ate 20% of rye pizza and Joey at 4/5 of the pizza. What percentage of the pizza did they eat in all
The percentage of the large pizza they ate is 100%
To calculate the percentage of pizza they both ate we have to add and then covert the fractions to percentage.
Given from the question
Frank ate 20% of the large pizza and Joey ate 4/5 portion of the large pizza
Converting 4/5 into percentage
For converting into percentage we have to multiply 100 to the fraction
= 4/5 x 100
= 80%
Now, let us proceed by adding the collected two percentages to find out the total percentage of pizza consumed by Frank and Joey
20% + 80%
= 100%
The percentage of the large pizza they ate is 100%.
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Find the probability of drawing the given cards from a standard deck of 52 cards with replacement. Leave answers as decimals rounded to 3 decimal places if the decimal does not end.
A ten, then the Ace of hearts.
Step-by-step explanation:
There are 4 tens in a deck of 52
so 4/52 of getting ten
then 1 /52 for the ace of hearts
4/52 * 1/52 = 4/ 2704 = 1/676 = .001 (rounded)
2㏒_[6](2)+3㏒_[6](3)+㏒_[6](12)
Answer: 4
Step-by-step explanation:
Given:
[tex]2log_62+3log_63+log_612[/tex]
Rewrite using the power property:
[tex]log_62^2+log_63^3+log_612[/tex]
Rewrite by adding the logarithms together (multiplying) since they all have a common base of 6:
[tex]log_6(2^2*3^3*12)[/tex]
Simplify by multiplying:
[tex]log_6(4*27*12)[/tex]
[tex]log_6(1,296)[/tex]
Evaluate the logarithm:
[tex]log_6(1,296)[/tex]
4
One gallon of paint covers 400 square feet. What is the least amount of paint needed to paint the walls of a room in the shape of a rectangular prism with a length of 17 feet, a width of 15 feet, and a height of 12 feet? Write your answer as a decimal. Gal
We need at least 3.465 gallons of paint to paint the walls of this room.
The area of the two rectangular faces on either end of the prism is:
length x height = 17 x 12 = 204 square feet
The area of the two rectangular faces on the sides of the prism is:
width x height = 15 x 12 = 180 square feet
The area of the top and bottom faces of the prism is:
length x width = 17 x 15 = 255 square feet
The total surface area of the prism is:
2(204) + 2(180) + 2(255) = 1386 square feet
Now, we divide surface area by coverage of one gallon of paint:
1386 / 400 = 3.465
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Find the number of permutations with of the letters in each word
The trigonometry functions when calculated are sin(A) = 18/34 and cos(A) = 30/34
Calculating the trigonometry functionsFrom the question, we have the following parameters that can be used in our computation:
The right triangle
Where we have
Opposite = 18Adjacent = 30Hypotenuse = 34Using the above as a guide, we have the following:
sin(A) = 18/34
cos(A) = 30/34
Hence, the values are sin(A) = 18/34 and cos(A) = 30/34
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Timmy is building a model of a building in his town that is 180 meters. He is using a scale of 1.5 cm. = 3.5 meters. How tall will his model be?
Answer: 77
Step-by-step explanation: You could set up a proportion for this question. 1.5 centimeters = 3.5 meters x centimeters = 180 meters 1.5 x 180 / 3.5 Rounded to the nearest whole number, the answer is 77.
How do you find the period of a cosine function of the form y = cos bx?
The period of a cosine function of the form y = cos bx is equal to T= 2π/b where 'T' is the period of the cosine function and b is the coefficient of x in the function.
This formula tells us that the period of the cosine function is equal to the length of one complete cycle of the function.
it represents the distance along the x-axis for the cosine function to complete one full oscillation.
The period of a cosine function of the form y = cos bx, first identify the coefficient b.
Use the formula T= 2π/b to calculate the period 'T'.
For example,
Consider cosine function y = cos 2x,
The coefficient of x is 2.
Using the formula above, the period is equal to
Period = 2π/2
= π
So the period of the function y = cos 2x is π.
This implies that the cosine function completes one full oscillation every π units along the x-axis.
Therefore, the formula used to calculate the period of the cosine function y = cos bx is given by T= 2π/b.
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a cube has edge length 4 inches. a. find the surface area and volume of the cube. surface area square inches volume cubic inches b. the cube is dilated by a scale factor of 0.25. find the surface area and volume of the image. surface area square inches volume cubic inches
The surface area and volume of a cube with different edge length are
When a cube with edge length 4inches ,
Surface area = 96 square inches and Volume =64 cubic inches.
Cube dilated by scale factor 0.25 ,
Surface area = 6 square inches and Volume =1 cubic inches.
The surface area of a cube is = 6 times the area of one face.
Each face of this cube has an area equals to
= (4 inches) x (4 inches)
= 16 square inches,
So the total surface area is,
Surface area
= 6 x 16 square inches
= 96 square inches
The volume of a cube = length of one edge cubed.
Here, the edge length is 4 inches,
Volume
= (4 inches)^3
= 64 cubic inches
When a cube is dilated by a scale factor of 0.25, all of its edges are multiplied by 0.25.
This implies,
The edge length of the image cube is
0.25 x 4 inches = 1 inch.
Surface area of the image cube = 6 times the area of one face.
Each face of the image cube has an area of
= (1 inch) x (1 inch)
= 1 square inch,
So the total surface area is,
Surface area
= 6 x 1 square inch
= 6 square inches
Volume of the image cube = length of one edge cubed.
Here, the edge length is 1 inch,
Volume
= (1 inch)^3
= 1 cubic inch
Therefore, the surface area and volume for the given dimensions are
For edge length 4inches , Surface area = 96 square inches and Volume =64 cubic inches.
For scale factor 0.25 , Surface area = 6 square inches and Volume =1 cubic inches.
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HELP THIS IS 7TH GRADE MATH 80 POINTS
Part - A: For Sky View School has a mean is 50.8, a median is 50 and a mode is 25.
Riverside School has a mean is 9.93, a median is 20.5 and a mode is 20.
Part B: For Sky View School has a 1,298.16 is variance and For Riverside School has a variance is 477.0
Part C: Riverside School is a better choice because it has a higher maximum class size 57 compared to Sky View School 69.
How to solveGiven that,
In the stem-and-leaf plot, information gathered about the composition of 15 classes at two separate schools is in the picture.
We know that,
Part - A:
For Sky View School has
The mean is = 50.8.
The median is = 50.
The mode is 25.
For Riverside School has
The mean is = 9.93.
The median is = 20.5.
The mode is 20.
Part B:
For Sky View School:
The range is 96 - 12 = 84.
The 25th percentile is the 4th value when the data is arranged in ascending order, which is 20. The 75th percentile is the 12th value, which is 60.
So, the IQR is 60 - 20 = 40.
Square of mean = -38.8, -33.8, -28.8, -25.8, -25.8, -25.8, -23.8, -20.8, -9.8, -7.8, 11.2, 11.2, 14.2, 21.2, and 45.2.
Now summation of the square of mean is 19,472.4
Now, dividing by 15 we have
= 1,298.16 is variance
For Riverside School:
The range is 25 - 2 = 23.
The 25th percentile is the 4th value when the data is arranged in ascending order, which is 5. The 75th percentile is the 11th value, which is 21.
So, the IQR is 21 - 5 = 16.
The deviations from the mean are: -19.7, -9.7, -9.7, -9.7, -9.7, -9.7, -9.7, -9.7, 0.3, 0.3, 10.3, 20.3, 20.3, 20.3, 27.3.
The sum of squared deviations is 6678.7.
Variance = = 477.0
Part C:
Riverside School is a better choice because it has a higher maximum class size of 57 compared to Sky View School 69.
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