The predicted winning time in year 10 of the race is 2.83 minutes.
How to obtain the equation for the line of fit?The equation for the line of fit is obtained inserting the points of the data-set into a linear regression calculator.
Given:
From the scatter plot, the points are given as follows:
(1, 5.4), (2, 5), (3, 4.6), (4, 4.9), (5, 4.1), (6, 3.9), (7, 3.6), (8, 3.3).
Inserting these points into the linear regression calculator, we get
y = -0.29x + 5.67.
Now, for x= 10 year
y = -0.29(10) + 5.67 = 2.77 minutes.
which is closest to 2.83 minutes.
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ILL BRAINLIEST YOU AND GIVE YOU 10 extra points
Answer:
A
Step-by-step explanation:
Side A which is 4 is an angle of 41.40
Side B which is 5 is an angle of 55.7
Side C which is 6 is an angle of 82.8
In a certain school district, students from grade 6 through grade 12 can participate in a school-sponsored community service activity. The following bar chart shows the relative frequencies of students from each grade who participate in the community service activity.
According to the given bar chart options A, B and C are the correct.
How do you find relative frequency?Relative frequency can be defined as the number of times an event occurs divided by the total number of events occurring in a given scenario.
Given that, the bar chart shows the relative frequencies of students from grades 6 to 12 who participate in the community service activity.
Relative Frequency = Subgroup frequency/ Total frequency.
Relative Frequency = f/ n.
From the given bar chart we can see that
The maximum number of participating students was in grade 9.
The number of participating students in grade 6 was equal to the number of participating students in grade 7.
The relative frequency of all participating students in grades 6 and 7 combined was 0.60.
Therefore, options A, B and C are the correct answers.
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Complete question is in attachment:
HELP ME PLEASE!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
No he's going to have to try this one again.
The y intercept is found by making x = 0
The original equation becomes
2y - 120 = 0 Add 120 to both sides
2y = 120 Divide by 2
y = 120/2
y = 60
The y intercept is 60
Hassan plans to repaint some classroom bookcases. He has 1010 gallons of paint. All of the bookcases are the same size and each requires \tfrac{7}{8}
8
7
gallon of paint. What is the maximum number of complete bookcases he can paint?
Hassan can paint maximum 11 bookcases with 10 gallons of paint.
What are Fractions?A fraction represents a numerical value, which defines the parts of a whole.
Generally, the fraction can be a portion of any quantity out of the whole thing and the whole can be any specific things or value.
The basics of fractions explain the top and bottom numbers of a fraction.
Suppose a number has to be divided into four parts, then it is represented as x/4. So the fraction here, x/4, defines 1/4th of the number x. Hence, 1/4 is the fraction here.
Given,
Hassan has 10 gallons of paints.
1 bookcase requires 7/8 gallons of paint
Let Hassan paints x bookcases.
According to the question
7/8x = 10
7x = 80
x = 80/7
x = 11.43
But no. of bookcases should be in whole.
Number of bookcases painted with 10 gallons of paint = 11.
Hence, Maximum 11 bookcases can be painted by Hassan with 10 gallons of paint
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Another one (last one!) it’s a test! Please no likes or something other than an answer!
Answer:
2, 6
Step-by-step explanation:
x always go first
Winton wants to find the volume of a cube. He uses the formula for volume of a cube V = s to the power of 3 where s is the length of one side of the cube. if s = 0.5 centimeter, what is the volume of the cube?
Answer:
Answer: 0.125 cm^3
For a project in his Geometry class, Elijah uses a mirror on the ground to measure the height of his school building. He walks a distance of 8. 25 meters from the school, then places a mirror on flat on the ground, marked with an X at the center. He then steps 0. 8 meters to the other side of the mirror, until he can see the top of the school clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1. 45 meters. How tall is the school? Round your answer to the nearest hundredth of a meter
The school is 24.63 meters tall.
To calculate the height of the school, Elijah can use the concept of similar triangles. Since the mirror is on the ground and parallel to it, the angle between the ground and the line from his eyes to the mirror is 90 degrees. The angle between the ground and the line from his eyes to the top of the school is also 90 degrees. The triangle formed by these lines and the line from his eyes to the top of the school is similar to the triangle formed by these lines and the line from his eyes to the mirror.
Using the similar triangles, the ratio of the height of the school to the distance from Elijah's eyes to the mirror is equal to the ratio of the distance from Elijah's eyes to the ground to the distance from the mirror to the school.
Therefore
(Height of school) / (Distance from eyes to mirror) = (Distance from eyes to ground) / (Distance from mirror to school)
Plug in the given values:
(Height of school) / 0.8 = 1.45 / (8.25 - 0.8)
Solving for the height of the school:
Height of school = (0.8 * 1.45) / (8.25 - 0.8)
= 1.16 / 7.45
= 0.1562
= 24.63 meters
The school is 24.63 meters tall.
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Ericka was solving an exponential equation, and upon finishing, she realized her answer was incorrect when she substituted -5 back into her original equation. Identify Ericka’s mistake.
Ericka’s mistake is in ''Step 2.''
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Ericka was solving an exponential equation, and upon finishing, she realized her answer was incorrect when she substituted -5 back into her original equation.
Now,
Since, Ericka was solving an exponential equation.
Clearly, The equation is,
⇒ 5 ⁹ˣ⁺⁶ = 25³ˣ ⁻ ²⁴
Step 1;
⇒ 5 ⁹ˣ⁺⁶ = 25³ˣ ⁻ ²⁴
⇒ 5 ⁹ˣ⁺⁶ = 5 ² ⁽³ˣ ⁻ ²⁴⁾
Step 2;
⇒ 9x + 6 = 2 (3x - 24)
So, Ericka’s mistake is in Step 2.
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Copy and complete each of the Diamond Problems below.
The pattern used in the Diamond Problems is shown at right.
b.
a.
0.32
12
"1
J
c.
9
2
d.
234
31
Core Connections, C
"
J
The provided schematic must be followed in order to answer these diamond problems. You must multiply the values on the left (x) and right (y) cells in order to find the value that belongs in the top cell.
we have,
For Diamond Problems a
x+y=1.2
xy=.32
so value of x= .8 and y = .4.
for Diamond Problems b
x= 11
x+y=25.
so y= 14 and xy=11*14=154.
for Diamond Problems c
x=-7
y=-9
so x+y=-16 and xy= 63.
for Diamond Problems d
x+y=31
xy=234
x=13 and y=18
Is figuring out puzzles a skill?Because puzzles engage both the left and right sides of your brain, solving them aids in the development of your problem-solving abilities. Solving puzzles with others is a terrific method to improve your communication and cooperation skills in addition to your problem-solving and critical thinking abilities.
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Use the table to work out the values of a, b, c, and d.
2
y = 2x – 2
-3
a
-2
-6
-1
b
0
-2.
1
a
d
Answer:
aaaaaaaaa x=3-2y
PLS HELP DO TOMORROW!!!
Answer: 3 grams
Step-by-step explanation:
I just looked up the answer lol- I tried though, (Also I can't guarantee if it's right... But it probably is).
How do you solve for 4=2+W over 2
Need to know immediately
Solving for W in the equation 4 = (2 + W) / 2 gives W = 6
How to solve for WUsing the equation 4 = (2 + W) / 2, W is solved by making it the subject of the formula and this is means placing W alone at the left hand side of the equation'
This is achieved by the following procedure
clearing the fraction
4 = (2 + W) / 2,
8 = 2 + W
rearranging the equation
W + 2 = 8
subtracting 2 from both sides of the equation
W + 2 - 2 = 8 - 2
since 2 - 2 = 0 we have
W = 6
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Combine the like terms
2g + 15 + 3g + g + g- 18
Answer:
7g - 3
Step-by-step explanation:
2g + 15 + 3g + g + g - 18
2g + 3g + g + g + 15 - 18
7g - 3
Find the y-value when x = 0 in the equation y = 2x + 3.
Answer:
Step-by-step explanation:
Y=2x+3
Y=2(0)+3
Y=3
How do I solve x-5(x-1=x-(2 x-3)
Answer:
x = 2/3
Step-by-step explanation:
x - 5(x - 1) = x - (2x - 3)
x - 5x + 5 = x - 2x + 3
-5x + 5 = -2x + 3
-3x = -2
x = 2/3
Reduce 22/154
to its lowest form.
Answer: 1/7
Step-by-step explanation: Find the GCD (Greatest Common Denominator) of the numerator and denominator. The GCD of 22 and 154 is 22. Divide both the numerator and denominator by the GCD = 22 ÷ 22; 154 ÷ 22. Reduced fraction: 1/7. Therefore, 22/154 simplified to lowest terms is 1/7.
a cylinder has a volume of 400 ft if the height of the cylinder is 25 ft what is the radius of the cylinder
Answer:
r = 2.25733059
round to whatever place your teacher wants.
Step-by-step explanation:
The formula for volume of a cylinder is
V=πr^2h
Plug in what we know
400 = πr^2(25)
divide both sides by 25
16 = π r^2
divide both sides by π (= 3.14)
r^2 = 5.0955414
then take the square root of both sides
r = 2.25733059
round to whatever place your teacher wants.
------------------------------------------
Kind of wishing the volume was 400π, lol. Would be easier to solve.
LMK if you have questions.
What is the name of 3 side?
The three sides of a triangle are referred to as the base, the height, and the hypotenuse.
The base and height of a triangle can be used to calculate the area of the triangle using the formula:
Area = (Base x Height) / 2
To calculate the hypotenuse of a triangle, the Pythagorean Theorem is used. The theorem states that the sum of the squares of the lengths of the two sides of a right triangle is equal to the square of the length of the hypotenuse.
The formula for the Pythagorean Theorem is:
a2 + b2 = c2
where a and b are the two sides of the triangle and c is the hypotenuse.
To calculate the hypotenuse of a triangle, the following steps are taken:
1. Measure the length of each side of the triangle.
2. Square the length of each side (multiply the length by itself).
3. Add the two values together.
4. Find the square root of the sum. This is the length of the hypotenuse.
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Is an isosceles triangle always 60 degrees?
No, an isosceles triangle is not always 60 degrees. The angles of an isosceles triangle must be equal, but the overall measure of the angles can be any value greater than 0 degrees.
A triangle having two equal sides and two equal angles is known as an isosceles triangle.. The equal sides create two equal angles that are opposite each other. The two equal angles are the only two angles that define an isosceles triangle. There is no specific measure for the angles of an isosceles triangle, so the angles do not necessarily have to be 60 degrees and The angles can be any value greater than 0 degrees. The two equal angles, however, must be equal in measure to make the triangle an isosceles triangle. Therefore, an isosceles triangle is not always 60 degrees.
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please help me find the answer
Answer:
use calculator
Step-by-step explanation:
Answer:
-21 i think
Step-by-step explanation:
Between -10 and -16 has to be -13, because -13 is three apart from -10, and three apart from -16. That means that the numbers decrease by 3. So, the number line would be:
-10
-13
-16
-19
-21
Hope this helps!
Select all the correct answers.
Joanna set a goal to drink more water daily. The number of ounces of water she drank each of the last seven days is shown below.
60, 58, 64, 64, 68, 50, 57
On the eighth day, she drinks 82 ounces of water. Select all the true statements about the effect of the eighth day's amount on Joanna's daily amount distribution.
The interquartile range of the data increases when the eighth day's amount is included in the data.
The median amount of water is higher when the eighth day's amount is included in the data.
The interquartile range of the data decreases when the eighth day's amount is included in the data.
The median amount of water is the same with or without the inclusion of the eighth day's amount.
The average daily amount of water is the same with or without the inclusion of the eighth day's amount.
The interquartile range of the data decreases when the eighth day's amount is included in the data is true.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Joanna set a goal to drink more water daily.
The number of ounces of water she drank each of the last seven days is
60, 58, 64, 64, 68, 50, 57
On the eighth day, she drinks 82 ounces of water.
Raw data: [60,58,64,64,68,50,57,82],
Sorted data: [50,57,58,60,64,64,68,82]
Sample size = 8 (even)
mean = 62.875
median = (60+64)/2 = 62
1st quartile = (57+58)/2 = 57.5
3rd quartile = (64+68)/2 = 66
IQR = 66 - 57.5 = 8.5
Data without the eight day's measurement.
Raw data: [60,58,64,64,68,50,57]
Sorted data: [50,57,58,60,64,64,68]
Sample size = 7 (odd)
mean = 60.143
median = 60
1st quartile = 57
3rd quartile = 64
IQR = 64 -57 = 7
Hence, the interquartile range of the data decreases when the eighth day's amount is included in the data is true.
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Answer: It's just
The interquartile range of the data decreases when the eighth day's amount is included in the data.
Step-by-step explanation: The question asks you to select ALL correct answers, but there is only one correct answer.
is this a right triangle 8,12,15
Answer:
I don't think so
Step-by-step explanation:
[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]
If you insert your lengths, [tex]8^{2}[/tex]+[tex]12^{2}[/tex] does not equal [tex]15^{2}[/tex]
Assuming that birthdays are distributed equally throughout the week, what is the probability that two people that have never met passing each other on the street were both born on a Friday is
1/7 2/7 1/49 2/49 4/49
Probability of Two people was born on Friday = 1/49
What is the definition of probability?
Possibility of happening an event is called probability. It is given by the ratio of favorable outcome to the total possible outcome. Probability is different kinds such as independent probability, dependent probability, conditional probability and so on.
What is the probability that two people were born on a Friday?
Assume that birthdays are equally distributed throughout the week.
probability of one people having birthday on Friday = 1/ 7
probability of another people has birthday on Friday = 1/7
probability of two people was born on Friday = 1/7× 1/7 = 1/ 49
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in 2016, humans produced 29 billion tonnes of carbon dioxide. this is set to grow by around 40% by the year 2035. how many tonnes of carbon dioxide will be produced by humans in 2035? give your answer in standard form
will give the answers brainliest
Answer:
29000000000*140% = 40600000000
=40.6 billion
Step-by-step explanation:
right!!!
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
B
Step-by-step explanation:
c=a^2+b^2=9^2+40^2=41
please help, if you get it right i'll mark you brainliest!!!!!
Answer:
Step-by-step explanation:
Back
Area = L * W
L = 20
W = 8
Area = 20 * 8
Area = 160
2 Triangles
Area = 1/2 one smaller leg*other smaller leg
one smaller leg = 8
The other one = 15
Area = 1/2 8 * 15 = 60
But there are 2 of them 2 * 60 = 120
Base
L = 20
W = 15
Area = L * W
Area = 20*15 = 300
Front (slanted) Face
L = 20
W = 17
Area = L * W
Area = 20*17 340
Total 920
Given the following geometric sequence, find the 12th term: {2, -4, 8, ...}.
-4096
2048
4096
-2048
Answer: -4096
Step-by-step explanation:
I just did the lesson
The value of x is -1/4 Order these expressions from least to greatest:
X
1-x
x-1
-1÷x
Answer:
Step-by-step explanation:
-1 divided by x
1 - x
X - 1
Point E is located at -12 on the number line.Point F is located at point 9 on the number line. What is the distance between Point F on the number line?
Answer:
21 points
Step-by-step explanation:
Point E is located at -12 that is 12 points less than zero. And Point F is located at point 9 which means that is 9 points after zero.
So the total distance will be 12+9= 21 points between the two locations Point E and Point F.
We add the total difference from the point zero to get the total distance between the two points.
Can u please help...................
Answer:
(-2, 2)
Step-by-step explanation:
You want the circumcenter of the triangle with vertices A(2, -3), B(2, 7), and C(-6, -3).
CircumcenterThe circumcenter is the center of the circle that circumscribes the triangle. Here, the triangle is a right triangle, so the circumcenter is the midpoint of the hypotenuse.
MidpointThe midpoint of segment BC is the average of the coordinates of B and C:
X = (B +C)/2 = ((2, 7) +(-6, -3))/2 = (2 -6, 7 -3)/2 = (-4, 4)/2
X = (-2, 2)
The circumcenter is (-2, 2).
__
Additional comment
The right angle subtends an arc of twice its measure, 180°, so the circumscribed triangle occupies a semicircle, and the hypotenuse is a diameter. That puts the center of the circle at the midpoint of the hypotenuse.