Answer:
Step-by-step explanation:
Minimum: 2
Quartile Q1: 4.5
Median: 10
Quartile Q3: 15
Maximum: 19
The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2014, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the calendar year in which the number of new cases would reach 579.
The linear regression equation that represents this data set is equal to y = 120.8x + 2,114.
How to write the linear regression equation?First of all, we would determine the slope of the given data set by using this formula:
[tex]Slope = \frac{\sum (x-\bar x)(y-\bar y)}{\sum (x-\bar x)^2}[/tex]
For the sample mean (years), we have:
[tex]\bar x = \frac{0\;+\;1+\;2\;+\;3\;+4}{5} \\\\\bar x =\frac{15}{4} \\\\\bar x =3.75[/tex]
For the sample mean (cases), we have:
[tex]\bar y = \frac{904\;+\;900+\;833\;+\;837\;+754}{5} \\\\\bar y =\frac{4,228}{4} \\\\\bar y =1057[/tex]
The sums are given by:
∑(x - |x|) = (0 - 3.75) + (1 - 3.75) + (2 - 3.75) + (3 - 3.75) + (4 - 3.75)
∑(x - |x|) = - 3.75 - 2.75 - 1.75 - 0.75) + 0.25
∑(x - |x|) = -8.75.
∑(x - |x|)² = (-8.75)² = 76.5625.
∑(y - |y|) = (904 - 1057) + (900 - 1057) + (833 - 1057) + (837 - 1057) + (754 - 1057)
∑(y - |y|) = -153 - 157 - 224 - 220 - 303
∑(y - |y|) = -1,057.
∑(x - |x|)(y - |y|) = -8.75 × -1057
∑(x - |x|)(y - |y|) = 9,248.75.
Now, we can determine the slope:
Slope = 9,248.75/76.5625
Slope = 120.8.
Therefore, the equation is given by:
y = 120.8x + a
Next, we would find the value of a:
1057 = 120.8(-8.75) + a
a = 1057 + 1,057
a = 2,114.
Hence, the linear regression model is given by:
y = 120.8x + 2,114.
Since the new cases would reach 579, the calendar year would be calculated as follows:
579 = 120.8x + 2,114
120.8x = 579 - 2,114
120.8x = -1,535
x = -1,535/120.8
x = -12.71.
Year = 2014 + 12.71
Year = 2026.71 ≈ 2027.
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A rectangular prism is 6.9 centimeters long and 1 centimeter wide. It’s volume is 21.39 cubic centimeters. What is the height of the rectangular prism? (will mark brainliest)
The height of the rectangular prism is 3.1
[tex]6.9x=21.39[/tex]
[tex]21.39[/tex] ÷ [tex]6.9=3.1[/tex]
Sure hope this helps
Solve this equation for x. X+13=22
Answer:
The value of X = 9
Step-by-step explanation:
X+13=22
X = 22-13
X = 9
Find all solutions of the system of equations algebraically. Write your solutions as coordinate points.
Answer:
Coordinate form:
(9,-1) (-4,12)
Step-by-step explanation:
y=3x^2-16x-100
Sub in y for the second equation
x+3x^2-16x-100=8
Continue solving
End result should look like that:
What is the slope of the line?
Answer:
The answer is [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Use rise over run, so you go up 1 then go to the right twice giving you the slope
What are Nilpotent groups?
Answer:
that is your answer hope this helps u
There are 20 angelfish in a pet store. The fish are placed
into 5 tanks with the same number of fish in each tank.
How many fish are in each tank?
Answer:
4 fish in each tank.
Step-by-step explanation:
20/5 = 4
I don’t know how to figure this question out I need help I need the steps to this
Answer:
19.5625
Step-by-step explanation:
To find the mean, you add all of your values together and divide by the number of values you have.
Here are the values in the dot plot listed:
12, 12, 15, 15, 15, 15, 16, 18, 20, 20, 22, 25, 25, 25, 29, 29
To find the mean:
(12 + 12 + 15 + 15 + 15 + 15 + 16 + 18 + 20 + 20 + 22 + 25 + 25 + 25 + 29 + 29)/16 = 19.5625
A men's basketball coach would like to know if there is a relationship between how tall a player is and how high he
can jump. complete the statement based on the information.
in this situation, height is the
y and how high he can jump is the
Answer:
Explanitory
Response
Step-by-step explanation:
edge
Solve simultaneously:
x-4y=1
6y=x-2
Answer:
separate : x-4y=1
= x-2y = 10
the other one: x = 6y + 2
togetehr : x = -1 , y = -1/2
step-by-step explanation:
i don't know if they're together so ima give you the answer for them if they are and just separte answers
Stuck. Please help me
If the width and length of the rectangle are 3 cm and 7 cm. Then the perimeter of the rectangle is 10 cm.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
Let L be the length of the rectangle and W be the width of the rectangle.
Then we have
4W + 3L = 33 ...1
2W + L = 13 ...2
Then by the equations 1 and 2, we have
W = 3 and L = 7
Then the perimeter of the rectangle will be
Perimeter = W + L
Perimeter = 3 + 7
Perimeter = 10 cm
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check the attachment please.
Answer:
It’s B
Step-by-step explanation:
they are a linear pair, when added up,the equal 180, so u would subtract 56 from 180 to get the answer.
ur wlcm :)
brainliest please?
One group (A) contains 390 people. Three-fifths of the people in group A will be selected to win $100 fuel cards. There is another group (B) in a nearby town that will receive the same number of fuel cards, but there are 553 people in that group. What will be the ratio of nonwinners in group A to nonwinners in group B after the selections are made? Express your ratio as a fraction or with a colon.
The ratio of nonwinners in group A to nonwinners in group B after the selections are made is 156 : 319.
What is the ratio?Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
Nonwinners in group A = (1 - 3/5) x 390 = 156
Winners in group B = (390 - 156) = 234
nonwinners in group B = 553 - 234 = 319
The ratio = 156 : 319
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A circular plate has circumference 20.7 inches. What is the area of this plate? Use 3.14 for a.
The area of this plate is about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)
Answer:
34 in²
Step-by-step explanation:
20.7 / 3.14 = 6.592 = diameter
6.592 / 2 = 3.296 = radius
3.296²(3.14) = 34.1
≈ 34 in²
ou toss a coin (heads or tails), then spin a three-color spinner (red, yellow, or blue). Complete the tree diagram, and then use it to find a probability.
1. Label each column of rectangles with "Coin toss" or "Spinner."
2. Write the outcomes inside the rectangles. Use H for heads, T for tails, R for red, Y for yellow, and B for blue.
3. Write the sample space to the right of the tree diagram. For example, write "TY" next to the branch that represents "Toss a tails, spin yellow."
4. How many outcomes are in the event "Toss a tails, spin yellow"? (1 point)
5. What is the probability of tossing tails and spinning yellow? (1 point)
The tree diagram that represents the events is an illustration of probability and combination
The tree diagramTo draw the tree diagram, we make use of the following representations:
H for heads, T for tails, R for red, Y for yellow, and B for blue.See attachment for the tree diagram.
The sample space and the outcomesFrom the tree diagram, the sample space is as follows:
S = {HR, HY, HB, TR, TY, TB}
The number of outcomes that represents "Toss a tail, spin yellow"This is represented as: TY
From the sample space above, we have:
TY = 1
Hence, the number of outcomes that represents "Toss a tail, spin yellow" is 1
The probabilityWe have:
TY = 1
Sample size = 6
Hence, the of tossing tails and spinning yellow is 1/6
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c. (-3) ³:-(3)³
and this answer??
cause it's abit difficult
Answer:
-54
Step-by-step explanation:
first of all you want to simplify them
I am a number I am not an odd number I am higher than 90 I am not higher than 100 If you subtract me from 100, you get nothing. what number am I?
(will mark brainliest)
Answer:
100
100 is not an odd number, its higher than 90 but not 100
and 100-100=0
Step-by-step explanation:
Hope it helps
Someone pls help me
Answer:
197.92034
Step-by-step explanation:
V=πr2h=π·32·7≈197.92034
Supply the missing number in the sequence: 10,11,12,13,14,15,16,17,18,19,20,22,24, _, 100, 121, 10,000
The missing number in the sequence is 31
How to complete the sequence?The sequence is given as:
10,11,12,13,14,15,16,17,18,19,20,22,24, _, 100, 121, 10,000
The above sequence is a base 16-n sequence numbers
In base 16-n, the next number after 24 is 31
So, the complete sequence is:
10,11,12,13,14,15,16,17,18,19,20,22,24, 31, 100, 121, 10,000
Hence, the missing number in the sequence is 31
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When 3 is subtracted from one third of a number n, the result is less than 6. Which
inequality and solution represent this situation?
3–ận<6;n<–9
ẩn-3<6;n<27
3- ẩn<6;n>_9
jn-3<6;n<9
Answer:
Option 2
Step-by-step explanation:
Making the terms based on the words :
⇒ n/3 - 3 (3 is subtracted from one third of a number n)
⇒ < 6 (less than 6)
===============================================================
The inequality is :
⇒ n/3 - 3 < 6
=============================================================
The solution :
⇒ n/3 - 3 < 6
⇒ n/3 < 9
⇒ n < 27
The volume of a cylinder is 20 ft3. which expression represents the volume of a cone with the same base and height as the cylinder? startfraction 2 over 30 endfraction feet cubed startfraction 20 over 3 endfraction feet cubed 3 (20) feet cubed startfraction 20 squared over 3 endfraction feet cubed
The expression that represents the volume of a cone with the same base and height as the cylinder is 1/3 * 20
How to determine the volume of the cone?The volume of the cylinder is given as:
V = 20
The volume of the cone is 1/3 of the volume of the cylinder.
So, we have:
v = 1/3 * V
Substitute 20 for V
v = 1/3 * 20
Hence, the expression that represents the volume of a cone with the same base and height as the cylinder is 1/3 * 20
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Answer:
B
Step-by-step explanation:
Hope this helps B)
Type the correct answer in the box. burning one gallon of gasoline releases 20 pounds of co2 into the air. harry’s compact car can travel 25 miles on one gallon of gas. if harry drives 15,000 miles in a year, his vehicle will add pounds of co2 to the atmosphere.
The amount of co2 that Harry's vehicle would release to the atmosphere in a year is 12,000 pounds.
What is the amount of co2 that would be released?The first step is to determine the gallons of gasoline that the car would need in a year: 15,000 / 25 = 600 gallons
The second step is to determine the total emissions when the car uses 600 gallons: 600 x 20 = 12,000 pounds
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Solve pls i give brainlist to correct answer.
Answer:
Maggie can run faster by 0.85 minutes.
Maggie runs in 5.20 minutes, Olivia runs in 4.35 minutes.
Step-by-step explanation:
Maggie = can run a mile in 5.2 minutes (1.3/0.25)
Olivia = can run a mile in 4.35 minutes (2.9/0.666666667)
5.2-4.35= 0.85 minutes
Simplify.
4(v-5)-7v pls help quick
Answer:
-3v-20
Step-by-step explanation:
What is the answer please?
Step-by-step explanation:
this simply means that the coordinates are multiplied by the scale factor.
(a, b) -> (a×k, b×k)
that's it.
so, the first answer is correct.
Please awnser :))))))))
Answer:
See figure below.
Step-by-step explanation:
Since the dilation is 1/5 with respect to the origin, divide each x- and y-coordinate by 5 to find the new points. Then plot them. See figure below.
4. Tyrone needs to save $100 to pay for his trip to
New York. He earns money delivering pizzas.
He has already saved $45.50
He makes $9.25 an hour delivering pizza.
How many hours must Tyrone work to have at least
$100 saved?
Answer:
6 hours
Step-by-step explanation:
Subtract saved amount from required amount :
$100 - $45.50 $54.50Divide by the pay rate :
$54.50 / $9.255.89 ≅ 6Tyrone must work at least 6 hours to have $100 saved.
A rectangle has a length represented by the function f(x) and a width represented by g(x).
Which statement describes the combined functions P(x) and A(x)?
O A(x) is linear, but P(x) is not.
OP(x) is linear, but A(x) is not.
O Both P(x) and A(x) are linear.
O Neither P(x) nor A(x) are linear.
Answer:
the statement that combines the functions is P(x)
PLEASE HELP ME ASAP!!
Which phrase best matches the expression below? (5 x 7) - 9?
Nine more than the product of five and seven.
Nine less than the product of five and seven.
Nine less than the quotient of five and seven.
Nine more than the quotient of five and seven.
Answer:
nine less than the product of five and seven
I need help! Math isn’t my best subject
Answer:
A and c
Step-by-step explanation:
multiply the 3 to both parts of equation
Answer:
it's A and C, multiply 3 with 3x and 4y