The most reasonable prediction of the number of seventh grade students in her school who would choose summer as their favorite season is 75.
To predict the number of seventh-grade students in Laticia's school who would choose summer as their favorite season, we can use the fact that she surveyed 25% of the seventh-grade students and found that 51 of them chose summer.
First, we need to find out how many seventh-grade students there are in total. Since Laticia surveyed 25%, we can set up a proportion:
[tex]\[\frac{51}{25\%} = \frac{x}{100\%}\][/tex]
Solving for x, the total number of seventh-grade students, we get:
[tex]\[x = \frac{51 \times 100\%}{25\%} = 204\][/tex]
Now, since 51 students chose summer as their favorite season out of 204 seventh-grade students, to find out how many students might choose summer if all seventh-grade students were surveyed, we can set up another proportion:
[tex]\[\frac{51}{204} = \frac{y}{100\%}\][/tex]
Solving for y, the number of students who might choose summer if all seventh-grade students were surveyed:
[tex]\[y = \frac{51 \times 100\%}{204} = 25\%\][/tex]
This comes out to (y = 51), which means if all seventh-grade students were surveyed, we could reasonably predict that 51 of them would choose summer as their favorite season. Therefore, option B) 75 is the most reasonable prediction.
How can you determine if a piece-wise relation is a function?
A rope is 72 feet long. What is the length of the rope in yards
Evaluate m 0 - n 2 for m = 2 and n = -1.
-1
0
1
Answer:
the answer is -1
Step-by-step explanation:
A right triangular prism is shown. Find (A) the total surface area and (B) the volume. You must show formulas and your work.
10m height
8m width
10.77m
A model car has a windshield with dimensions 1/18 the size of a real car windshield. They rectangular windshield of the real car has an area of about 2318 square inches, with a width of 61 inches. What are the side lengths of the model car's windshield? Round to the nearest hundredth. Justify your answer
Answer:
A. 2375 inches
Step-by-step explanation:
just did it lol
Sharon has a balance of $3,825 on her credit card. If the card has an annual rate of 20.99% how much is the finance charge for this month? $802.87 $219.96 $66.96 $20.99
In the figure, lines a, b, and c are parallel and m∠4=156° . Drag and drop the correct angle measure for each angle.
Answer:
[tex]m<1=156\°[/tex]
[tex]m<2=24\°[/tex]
[tex]m<3=24\°[/tex]
[tex]m<5=156\°[/tex]
Step-by-step explanation:
Part 1) If line a is parallel to line b
then
[tex]m<1=m<4[/tex] -----> by alternate exterior angles
so
we have
[tex]m<4=156\°[/tex]
therefore
[tex]m<1=156\°[/tex]
Part 2) we know that
[tex]m<1+m<2=180\°[/tex] -----> by supplementary angles
we have
[tex]m<1=156\°[/tex]
substitute
[tex]156\°+m<2=180\°[/tex]
[tex]m<2=180\°-156\°=24\°[/tex]
Part 3) If line a is parallel to line b
then
[tex]m<3=m<2[/tex] -----> by alternate interior angles
so
we have
[tex]m<2=24\°[/tex]
therefore
[tex]m<3=24\°[/tex]
Part 4) If line b is parallel to line c
then
[tex]m<5=m<4[/tex] -----> by corresponding angles
so
we have
[tex]m<4=156\°[/tex]
therefore
[tex]m<5=156\°[/tex]
What is the distance between points S and U?
Round to the nearest tenth of a unit.
3.3 units
6.4 units
8.1 units
12.0 units
Plies sambedy help problem 5.
(05.05)Jacob and Kerrie are trying to figure out how long they can live off their $84,670 savings if they spend $370 each month. They have each created an equation. Jacob’s Equation Kerrie’s Equation y = 84,670 + (370x) y = 84,670 − (370x) Which person has the correct equation to model this linear relationship?
Answer:
kerries because they are spending money not gaining and it will be B
Step-by-step explanation:
Shauna bought a flat cardboard box
20 POINTS, PLZ HELP!
The circumference of a circular tabletop is 72 π inches. What is the area, in square inches, of the tabletop?
144π
5185 π
1296 π
36π
WILL MARK BRANLIEST 20 POINTS!
Rewrite the following expression in standard form by finding common denominator and collecting like terms
What fraction of students prefer Mt Rushmore over Grand Canyon ? Write in simplest form ?
To find "What fraction of students prefer Mt Rushmore over Grand Canyon ?", we need to take away Grand Canyon [tex] (\frac{8}{28} ) [/tex] from Mt Rushmore [tex] (\frac{14}{28} ) [/tex]
[tex] \frac{14}{28} - \frac{8}{28}\\\\ When \; we \; have\; like\; fractions\; with\; same\; denominator,\; we \; should\; combine \; numerator \\ \\ \frac{14-8}{28} \\ \\ \frac{6}{28} [/tex]
[tex] Divide \; numerator\; and \; denominator\; by \; common\; factor\; 2\\ \\ \frac{6 \div2 }{28 \div 2} = \frac{3}{14} [/tex]
Conclusion:
6/28 fraction of students prefer Mt Rushmore over Grand Canyon.
3/14 is the simplest form of above fraction.
Which are equivalent ratios to 4:9?
Check all that are true.
9:28
20:45
12:27
4:24
8:18
Final answer:
The equivalent ratios to 4:9 are 20:45, 12:27, and 8:18 because they all simplify proportionally to 4:9.
Explanation:
To determine which of the given ratios are equivalent to 4:9, we need to have ratios that can be simplified to 4:9 or for which 4:9 can be scaled up proportionally. We check each given ratio by either simplifying it or finding a common multiplier that would lead us back to 4:9.
9:28 is not equivalent because it does not simplify to 4:9 or scale from 4:9.20:45 simplifies to 4:9 when both numbers are divided by 5.12:27 simplifies to 4:9 when both numbers are divided by 3.4:24 is not equivalent because it simplifies to 1:6, not 4:9.8:18 simplifies to 4:9 when both numbers are divided by 2.Therefore, 20:45, 12:27, and 8:18 are equivalent ratios to 4:9.
WILL GIVE 99 POINTS IF ANSWERED ASAP PLEASE
Answer:
Part A
1. Perimeter of the outside edges = 24 inches
2. One possibility is: length = 8 in. and width = 8 in.
second possibility is: length = 16 in. and width = 4 in.
3. Area of the wood portion = 11 [tex]inches^{2}[/tex]
4. New dimensions are:
Length = 17.5 ft.
Width = 12.5 ft.
Part B
Area of the picture = 24 [tex]inches^{2}[/tex]
Area of the frame = 35 [tex]inches^{2}[/tex]
Step-by-step explanation:
Part A
1. Perimeter of the outside edges = 2(length + width)
= 2(7 + 5)
= 2(12)
= 24 inches
2. If the area of the frame was 64 [tex]inches^{2}[/tex], then the two possible dimensions are:
8 × 8 and 16 × 4
i.e., one possibility is: length = 8 in. and width = 8 in.
second possibility is: length = 16 in. and width = 4 in.
3. Area of the wood portion = Area of the frame - Area of the picture
= (5 × 7) - (4 × 6)
= 35 - 24
= 11 [tex]inches^{2}[/tex]
4. The scale factor is:
1 in. = 2.5 ft.
So, its length = 7 in. = 7(2.5) = 17.5 ft.
width = 5in. = 5(2.5) = 12.5 ft.
Part B:
Length of the picture = 6in.
Width of the picture = 4 in.
Area of the picture = Length × Width
= 6 × 4
= 24 [tex]inches^{2}[/tex]
Length of the frame = 7in.
Width of the frame = 5 in.
Area of the frame = 7 × 5 = 35 [tex]inches^{2}[/tex]
Part A
1) Perimeter of the outside edges
24 inches
2) One possibility is:
length- 8 inches
and width - 8 inches
3) Area of the wood portion
= 11
4) New dimensions are:
Length - 17.5 feet
Width - 12.5 feet
Part B
Area of the picture
- 24
Area of the frame
- 35
Step-by-step explanation:
first part-
1) Perimeter of the outside edges = 2(length + width)
= 2(7 + 5)
= 2(12)
= 24 in
2) if the area of the frame was 64 then there are two possible dimensions
8 × 8 and 16 × 4
the first possibility
length = 8 inches
width = 8 inches
the second possibility
length = 16 inches
width = 4 inches
3) Area of the wood portion= Area of frame - Area of picture
= (5 × 7) - (4 × 6)
= 35 - 24
= 11
4)The scale factor
1 inches = 2.5 feet
length = 7 inches
= 7(2.5)
= 17.5 feet
width = 5 inches
= 5(2.5)
= 12.5 feet
Second part-
Length of picture
= 6 inches
Width of picture
= 4 inches
Area of the picture
(Length × Width)
= 6 × 4
= 24
Length of frame = 7 inches
Width of frame = 5 inches
Area of frame = 7 × 5 = 35
If this helped you please say thanks and mark brainliest
Describe two ways that an exterior angle of a triangle is related to one or more of the interior angles
Find the next three terms of the sequence.
–6, –24, –96, –384, . . .
23=30-g;6,7,8 what is the solution
What is the range of this dot plot? I'm stuck between the answers 8 and 9.
Please help me with this compound interest.
6,300 x (1+0.06) ^3=
6300 x 1.191016 =
7503.40
Jose creates a scale drawing of a character from one of his comic books using a scale factor of 40%. Caroline wants to use Jose’s scale drawing to create the original-size image of the comic book character. What scale factor will Caroline need to use to draw the original-size image?
250% is scale factor will Caroline need to use to draw the original-size image.
What is Scale Factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size.
To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilised. It is employed to change the size of an object.
Given:
Scale Factor= 40%
As, Jacob use the scale factor= 40%
So, the new image size
= 100 x 40/100
= 40
let Caroline use x% scale factor
then, 40x/100= 100
x= 100 x 100 /40
x= 250%
Hence, 250% is scale factor will Caroline need to use to draw the original-size image.
Learn more about scale factor here:
https://brainly.com/question/29464385
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Picking a blue shirt from a drawer with 8 blue shirts and 2 white shirts.
The probability of picking a blue shirt from the drawer is 4/5 or 0.8
The probability of picking a blue shirt from a drawer with 8 blue shirts and 2 white shirts can be calculated as follows:
Probability of picking a blue shirt = Number of blue shirts / Total number of shirts
Probability of picking a blue shirt = 8 / (8 + 2)
Probability of picking a blue shirt = 8/10
Probability of picking a blue shirt = 4/5
Therefore, the probability of picking a blue shirt from the drawer is 4/5 or 0.8.
To learn more on probability click:
https://brainly.com/question/11234923
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If postage costs $.54 the 1st ounce and $.22 for each additional ounce calculate the cost of mailing a 10 ounce envelope.
A. $5.40
B. $2.20
C. $5.08
D. $2.52
Find the slope of a ski run that descends 15 feet for every horizontal change of 24 feet. *Make sure to look at the sign of the slope and include in your answer. Positive or negative? Please help me quick
Answer:
15/24 i think'
Step-by-step explanation:
If 5 pounds of broccoli cost is $12 then how much will 7 pounds of broccoli cost?
7 pounds costs $16.4 I think
when 4 is added to the difference between 5 times a number and 9 the result is greater than 10 * to 4 times the number what's the number
HELPPPPPP
Safety standards require a pool to add 3 chlorine tablets to every 2,000 gallons of water. Today, the lifeguards at Park Pool added 8 chlorine tablets to their pool's 10,000 gallons of water. How does Park Pool's chlorine compare to the safety standards?
They have less chlorine than the safety standards require.
Answer: With the help of Ratio we can compare Park Pool's chlorine to the safety standards.
Step-by-step explanation:
Since we have given that
Safety standards requires a pool to add 3 chlorine tablets to every 2,000 gallons of water.
Number of chlorine tablets = 3
Volume of water = 2000 gallons
So, Ratio will be
[tex]3:2000\\\\=1:\frac{2000}{3}\\\\=1:666.67[/tex]
Now, According to question, the lifeguards at Park Pool added 8 chlorine tablets to their pool's 10000 gallons of water.
So, Number of chlorine tablets = 8
Volume of water = 10000 gallons
So, Ratio will be
[tex]8:10000\\\\1:1250[/tex]
Hence, with the help of Ratio we can compare Park Pool's chlorine to the safety standards.
The figure shows triangle ABC and a rotation of the triangle about the origin
a. How would you describe the rotation?
b. What are the coordinates of the image?
A hollow ball is made up of rubber that is 2 centimeters thick. The ball has a radius to the outside surface of 6 centimeters. What is the approximate volume of rubber used to make the ball? Use 3.14 for pi.
a. 33.5cm^3
b. 267.9cm^3
c. 636.4cm^3
d. 994.3cm^3
The volume of rubber used to make the hollow ball is approximately 636.4 cm^3, which is calculated by subtracting the inner space volume from the total volume of the ball.
To find the volume of rubber used to make a hollow ball, we need to calculate the volume of the entire ball and then subtract the volume of the inner empty space. The ball's external radius is 6 centimeters, and the rubber thickness is 2 centimeters, which makes the inner radius 4 centimeters (6cm - 2cm).
The formula to calculate the volume of a sphere is V = (4/3)
y. Using
for pi and plugging in the numbers, we get:
To find the volume of the rubber used, we subtract the smaller volume from the larger volume:
904.32 cm - 268.08 cm = 636.24 cm
Therefore, option c. 636.4cm is the approximate volume of rubber used to make the ball.