(a) Collision claims tend to be skewed right because there are a few very large collision claims relative to the majority of claims.
These large collision claims skew the data to the right because they are outliers that draw the mean higher than it should be.
The answer cannot be "no large collision claims" or "many large collision claims" because then the data would not be skewed.
(b) Since there are two random samples comparing two means, we will be using a 2-Samp-T-Test. We will use Welch's approximate t-test, where we test the hypothesis that these two populations have the same mean.
We want to determine if 20-24 year old drivers have the same mean collision cost as 30-59 year old drivers.
(c) The null hypothesis is that the mean claim of collision costs for 20-24 year old drivers is the same as the mean claim of collision costs for 30-59 year old drivers.
We can also rewrite this as:
H₀: μ₁ = μ₂where μ₁ is the mean collision claims for 20-24 year old driversand μ₂ is the mean collision claims for 30-59 year old driversThe alternative hypothesis is that the mean claim of collision costs for 20-24 year old drivers is higher than the mean claim of collision costs for 30-59 year old drivers.
We can rewrite this as:
H₁: μ₁ > μ₂Our variables have already been defined(d) In order to calculate the p-value, we must find the test statistic first.
We can do so by using this formula:
[tex]\displaystyle t=\frac{x_1-x_2}{\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} }}[/tex]We are given these variables in the problem:
[tex]x_1=4590[/tex][tex]s_1=2302[/tex][tex]x_2=3670[/tex][tex]s_2=2029[/tex][tex]n_1=40[/tex][tex]n_2=40[/tex]Substitute these variables into the formula for the test statistic.
[tex]\displaystyle t=\frac{4590-3670}{\sqrt{\frac{2302^2}{40} +\frac{2029^2}{40} } }[/tex]You can use the calculator to solve this expression, or plug the numbers into your calculator using: STAT - TESTS - 4:2-SAMPTTEST.
Your test statistic should be: t = 1.8962.
The calculator should also tell you the p-value; p = .0308.
(e) Since p = .0308 < α = .1, reject the null. We have convincing statistical evidence that the mean claim of collision costs for 20-24 year old drivers is higher than the mean claim of collision costs for 30-59 year old drivers.
Solve the following equation algebraically:
3x²=12
A. +3
b. ±2
C.+3.5
d. ±1.5
Answer:x = ± 2
Step-by-step explanation:3x² = 12
x² = 12/3
x² = 4
x = √4
x = ± 2
Answer: x = ± 2 hopes that helps you out bud
Answer
x = 2 or x = -2
Brainliest?
Find it please and give a step by step explanation. Thank you
Given a function described by the table below, what is y when x is 5?
X Y
2 6
4 8
5 9
6 12
Considering the table that describes the function, it is found that when x = 5, the value of y is of y = 9.
What does the table states?The table representing the function states the value of y associated with each value of x.
Hence, considering the third line of the table, it is found that when x = 5, the value of y is of y = 9.
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(b) A square has a perimeter of 80 ft. What is the length of each side?
Answer:
20 ft
Step-by-step explanation:
There are 4 equal sides to a square so one side is 80/4 = 20 ft
please help will mark Brainliest!!
Answer:
Option D, [tex]16\ units[/tex]
Step-by-step explanation:
Step 1: Determine the perimeter
[tex]P = 2(l + w)[/tex]
[tex]P = 2(5\ units + 3\ units)[/tex]
[tex]P = 2(8\ units)[/tex]
[tex]P = 16\ units[/tex]
Answer: Option D, [tex]16\ units[/tex]
PLEASE HELP WILL MARK BRAINLIEST
please help me in this question please
Answer:
Can you please write the question given to answer the graph
what is the anwer pls
Answer:
180 square yards
Step-by-step explanation:
there are 3 shapes that create the total area :
a large right-angled triangle to the right. its baseline is 16 yd. the left side is a bit complicated, we get to it.
a small middle rectangle with length 6 yd. it's width is 3 yd.
is area is 6×3 = 18 yd²
a large rectangle at the bottom left with length 11 yd and width 6yd.
its area is 11×6 = 66 yd²
now, how long is the left side of the triangle ? we need it as the height of the triangle to get the area
baseline × height / 2
we see that a part of the left side is 8 yd.
then the width of the middle rectangle is also a part of that left side : 3 yd.
and then we notice that the triangle goes a little bit below the top length side of the large rectangle. how much ? well the actual width of the large rectangle is 6 yd, but the side under the triangle says only 5 yd. so, the missing piece is 6-5 = 1 yd.
so, the full left side is
8 + 3 + 1 = 12 yd
and the area of the triangle is
16×12 / 2 = 16×6 = 96 yd²
so, the total area of the figure is
18 + 66 + 96 = 180 yd²
6) The combined area of town A and town B is 104,000 square miles. The area of town A is 10,000 square miles more than that of town B. Find the area land of each town.
Step-by-step explanation:
Town B = 47000 square miles
Town A = 57000 square miles
is (x-2) a factor of f(x)=x^3 -8x^2+14x-4?
Answer:
Yes
Step-by-step explanation:
Use synthetic division
2 | 1 -8 14 -4
____2 -12_4__
1 -6 2 | 0
Thus, [tex](x^3-8x^2+14x-4)\div(x-2)=x^2-6x+2\:\text{R}0[/tex], so [tex](x-2)[/tex] is indeed a factor of f(x) since there's no remainder.
Work out the size of angle x
I need help on question b
Answer:
B=25
Step-by-step explanation:
Simply plug in 10 where x is
2(10)2(10-5)/10(10) = 25
Look at the image below. Whats the area of the triangle (PLEASE HELP)
Answer:
28
Step-by-step explanation:
the formula for finding the area of a triangle is 1/2×base×height. the height is the spot where you can create a right angle with the base, which here is 14 meaning the equation is 1/2(4)(14)
I really need help on this math problem, pls anyone that can help?!
Answer:
y = 3/2x + 6
Step-by-step explanation:
Equation of the given line
slope = rise/run = -2/3y-intercept = (0, -2)Equation is y = -2/3x - 2Perpendicular
Slope is the negative reciprocalm ⇒ -(1/[-2/3]) = 3/2Intersection point is (-2, 3)Using Point-slope equation
y - 3 = 3/2 (x + 2)y - 3 = 3/2x + 3y = 3/2x + 6solve for y
y/2 = x
thank you
Answer:
[tex] \frac{y}{2} = x \\ \\ y = 2x[/tex]
Factor completely.
5x² - 20x + 20 =
Answer:
[tex]5(x-2)^2[/tex]
Step-by-step explanation:
[tex]5x^2-20x+20\\=5(x^2-4x+4)\\=5(x-2)(x-2)\\=5(x-2)^2[/tex]
Please solve (17 points)
Answer:
50.6
Step-by-step explanation:
Lila's Tea Shop has caffeinated tea
and decaffeinated tea. During the
lunchtime rush, the tea shop served
100 teas in all, 41% of which were
caffeinated. How many caffeinated
teas did the tea shop serve?
Answer:
28 caffinated teas
Step-by-step explanation:
What is the measure of n?
m
n
8
4
ከ =
4V[?]
Give your answer in simplest form.
Enter
The value of n is 32 if the total; base length is 12(8+4) and n is the length of the perpendicular.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We can use the altitude rule:
8/n = n/4
n² = 32
n = √32
Thus, the value of n is 32 if the total; base length is 12(8+4) and n is the length of the perpendicular.
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Need asap!!!!!!!!!!!
Answer:
50 J
Step-by-step explanation:
According to energy conservative law energy can not be destroyed. So as the potential energy has been decreased to 50 J, the decreased amount has become kinetic energy.
100 - 50 = 50
Use linear regression to find a function that fits the following points. (-2,-1), (3,9).
Step-by-step explanation:
[tex] \frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1} [/tex]
[tex] \frac{y - ( - 1)}{9 - ( - 1)} = \frac{x - ( - 2)}{3 - ( - 2)} [/tex]
[tex] \frac{y + 1}{ \cancel{10}} = \frac{x + 2}{ \cancel{5} }[/tex]
[tex] \frac{y + 1}{2} = \frac{x + 2}{1} [/tex]
[tex]1.(y + 1) = 2.(x + 2)[/tex]
[tex]y + 1 = 2x + 4[/tex]
[tex]y = 2x + 4 - 1[/tex]
[tex]y = 2x + 3[/tex]
24. Why are alkylating agents not used as antiseptics?
Answer:
Because alkylating agents effectively sterilize materials at low temperatures but are carcinogenic and may also irritate tissue.
Step-by-step explanation:
There are 3 people fishing at a lake. Each person caught 5 fish. What was the total number caught by 9 people?
Each person caught 5 fish.
Multiply 5 fish by total people.
5 x 9 = 45
Answer: 45 fish
Answer:
45 fish
Step-by-step explanation:
Given :
Each of the 3 people caught 5 fishSolving :
For 9 people, multiply the number caught by each into 95 × 945 fishCalculate (C ∘ F) for the month
To calculate temperature (C ∘ F) Celsius to Fahrenheit for the month, use the following expression.
[tex]^oC=\dfrac{5}{9}(^oF-32)[/tex]How to convert Celsius to Fahrenheit?
Temperature is the way to express the hotness or coldness of a body or object surface. The scales of measuring temperature are:
Celsius FahrenheitKelvinTo convert Fahrenheit to Celsius, we use the following formula.
[tex]^oF=^oC\times\dfrac{9}{5}+32[/tex]
The formula to convert Celsius to Fahrenheit is
[tex]^oC=\dfrac{5}{9}(^oF-32)[/tex]
Now, there is no data given in the problem. Thus, the above formula for any data can be used to convert the unit of temperature measurement.
Hence, to calculate temperature (C ∘ F) Celsius to Fahrenheit for the month, use the following expression.
[tex]^oC=\dfrac{5}{9}(^oF-32)[/tex]
Learn more about the temperature measurement here:
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7 > −3; Subtract 7 from both sides.
The resulting inequality is :
Answer:
0 > -10
True
Step-by-step explanation:
7 > -3 Starting with a true statement. This math sentence says, "7 is greater than -3"
7 > -3
-7 -7 Subtract 7.
Working vertically now (from the top, down)
7 > -3
-7 -7
_______
0 > -10
Because 7-7 is 0 on the left side. And
-3-7 is -10 on the right side. This statement is true, because zero is bigger than -10.
XYZ is a right triangle If XY = 8, what is XZ?
Answer:
square root of 64 minus yz square
If there are 12 people, and each person has 3 coins, there are ____ times as many coins as people
Answer:
Step-by-step explanation:
find the 70th term of the arithmetic sequence 18, 34, 50, ...
Answer:
1122
If you do 18 (the first number in the sequence) plus 69 because you have to do 70 minus 1 equals 69. So 18 plus 69 then you times 16 (how many you have to get to the next number).
18+69×16=1122
Step-by-step explanation:
(a) If the monthly water usage is 18 HCF, which plan costs more?
O Residential Plan
O Business Plan
How much more does it cost than the other plan?
$0
(b) For what amount of monthly water usage do the plans cost the same?
If the monthly water usage is more than this amount, which plan costs more?
Residential Plan
Business Plan
Answer: A THE ANSWER IS A so this is the calculation of it means of that I say A
Step-by-step explanation:
Hector is sowing grass seed in his yard. A bag of grass seed
covers an area of 50 square feet. Hector's front yard is
49 feet long and 11 feet wide. He will not be planting grass
in his backyard. How many bags of grass seed will Hector
need, rounded up to the nearest bag?
a. 9 bags
b. 10 bags
c. 11 bags