Answer:
There is not enough evidence to support the claim that the fat percentage of at least one of the four ethnic groups is different.
Step-by-step explanation:
The Analysis of Variance (ANOVA) test is used to determine whether there is any significant difference between the mean of various independent groups.
In this case an ANOVA test is being performed to determine whether the fat percentage of four different ethnic groups are different or not.
The hypothesis can be defined as:
H₀: The fat percentage of four different ethnic groups are same, i.e. μ₁ = μ₂ = μ₃ = μ₄.
Hₐ: The fat percentage of at least one of the four ethnic groups is different, i.e. at least one μ[tex]_{i}[/tex] is different.
The significance level of the test is, α = 0.05.
The decision rule is:
If the p-value of the test is less than the significance level, then the null hypothesis will be rejected.And if the p-value of the test is not less than the significance level, then the null hypothesis will not be rejected.The p-value of the ANOVA test is computed as, p-value = 0.11.
p-value = 0.11 > α = 0.05.
The null hypothesis was failed to be rejected.
Hence, it can be concluded that there is not enough evidence to support the claim that the fat percentage of at least one of the four ethnic groups is different.
Given the formula, Sn=a 1-r^n/1-r, what is the sum of the first nine terms of the geometric series: 324, -108, 36, -12...
If necessary, round to the hundredths place. (2 places after the decimal)
Answer:
243.01.
Step-by-step explanation:
The first term (a) = 324.
The common ratio (r) = -108/324 = -1/3.
So sum of 9 terms is:
S(9) = 324 * (1 - (-1/3)^9) / ( 1 - (-1/3)
= 324 ( 1 - (-0.00005076)) / 4/3
= 324 * 1.00005076 / 1.33333
= 243.012.
James rented a car for 4 days plus $0.25 per mile. He took the collision waiver for $19.95 per day. He drove the car 352 miles. Gasoline cost $41.38. What was the total cost of renting the car?
1 point
$61.58
$149.33
$413.33
$209.18
Answer:
$209.18
Step-by-step explanation:
352 miles*$0.25 per mile = $88 for mileage.
$19.95 per day * 4 days = $79.80
88+ 79.80 + 41.38 for gass = $209.18 Total Cost
What is the approximate area of a circle with diameter 6?
Answer: 28.27
Step-by-step explanation:
First, you can turn the diameter into a radius, giving you 3. Since the equation of an area in a circle is A=πr^2, you must square 3, giving you 9. Now you must multiply 9 with Pi, which is 3.14159265358, but just 3.14 for short. With that, you get about 28.27 as area.
You have 9 pets:
4 fish,
1 cat,
2 dogs
and 2 birds. What is the probability a pet chosen at random is a dog or a four legged pet?
Answer:
1/3
Step-by-step explanation:
4 fish, 1 cat,2 dogs,and 2 birds = 9
dogs or 4 legged = cats and dogs = 1+2 = 3
P(dog or 4 legged) = number of dogs or 4 legged / total
=3/9
=1/3
Answer:
⅓
Step-by-step explanation:
Total pets:
4+1+2+2 = 9
Dog or four legged pets: 2 + 1 = 3
Probability: 3/9 = 1/3
what is the average rate of change for the function f(x)=x^2+4 for the domain of -2 to 4
Answer:
2
Step-by-step explanation:
For a quadratic function the average rate of change on an interval is the rate of change at the midpoint of the interval. The rate of change of a function is given by its derivative.
The derivative of f(x) = x^2 is f'(x) = 2x. The midpoint of the interval is (4+(-2))/2 = 1. Then the average rate of change is ...
f'(1) = 2(1) = 2
The average rate of change of f(x) on [-2, 4] is 2.
__
Alternate solution
The average rate of change is the slope of the line between the end points of the interval:
m = (y2 -y1)/(x2 -x1)
m = (f(4) -f(-2))/(4 -(-2)) = (20 -8)/(6) = 2
The average rate of change on [-2, 4] is 2.
_____
The attached graph shows the points on the curve and a line with slope 2 between them. It also shows the various slope calculations.
Sebastian got estimates from 7 companies for his kitchen remodel: $ 27,500 ; $31,000 ; $36,000 ; $92, 000; $29,000 ; $30,500 ; $28,500. Which measure of center best describe the data, is it the mean or the median?
We have been given that Sebastian got estimates from 7 companies for his kitchen remodel: $ 27,500 ; $31,000 ; $36,000 ; $92,000; $29,000 ; $30,500 ; $28,500. We are asked to find the best measure of center for the given data.
We can see that our given data set has a large valued data point that is $92,000.
We know that mean is very much affected by large valued outliers. The data point $92,000 will increase the mean. Therefore, mean is not a best measure of center for given data.
We know that median is very less affected by outliers, therefore, median will be best measure of center for the given data.
Is OCD and perfectionism the same thing. I need an explanation thanks
Answer: ocd can be characterized as an extreme form of perfectionism, where anything can lead to anxiety fear, and distress. perfectionism is a personality trait where one drives for flawless ness, it becomes ocd when those strives cause literal disorder in ones life
Step-by-step explanation:
I have the brainy app on my phone, and I have plus on my phone, but when I try to log in on my computer< it says I still need to upgrade, how do I use brainy plus on my computer?
to use brainy plus on your computer you need to log in with the same account you used on the phone
Answer:
try to restart and delete then re download the app:)
Step-by-step explanation:
Plz answer BRAINLIEST Choose the statement that is true of both triangles.
9514 1404 393
Answer:
A. Side lengths of 4 units and 2 units and a nonincluded angle of 30°
Step-by-step explanation:
Both triangles have sides marked 2 units and 4 units, but the angle is not between them. The angle is opposite the short side in one triangle (which will be a right triangle), and opposite the long side in the other triangle (which will be an obtuse triangle). The sides and angles of the two triangles will not have the same measures, and neither will have an angle of 100°.
The first description is appropriate:
Side lengths of 4 units and 2 units and a nonincluded angle of 30°
Please help.
Thank you.
Answer:
The first option is not a function
Explanation:
A function is where there is no repeated x values
Just a reminder
Hector invests $20,000 at age 21. He hopes the investment will be worth $200,000 when he turns 40. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Round to the nearest tenth of a percent.
Answer:
12.12%
Step-by-step explanation:
We have that the formula is given by:
A = p * e ^ (r * t)
From here, we know that A = 200000; p = 20000 and the time we can calculate 40 - 21 = 19
if we replace we have:
200000 = 20000 * e ^ (19 * r)
we must calculate r:
e ^ (19 * r) = 200000/20000
e ^ (19 * r) = 10
19 * r = ln 10
r = ln 10/19
r = 0.1212
In other words, the rate of growth is 12.12%
Answer:
12.1%
Step-by-step explanation:
what is the sum of 21 and 5 times a number f is 61
Answer:
f = 8
Step-by-step explanation:
21 + 5f = 61
5f = 61 - 21
f = (61 - 21) / 5
f = 8
Answer:
f = 8
Step-by-step explanation:
"Sum" = addition
"Times" = multiplication
Write an equation to represent this scenario
21 + 5 * f = 61
Multiply 5 by f
21 + 5f = 61
Subtract 21 from both sides of the equation
5f = 40
Divide both sides of the equation by 5
f = 8
Hope this helps :)
From a class of 25 students how many group of 4
Answer: Well, 4 groups of four, and roughly 6 student in a group
Step-by-step explanation:
The question is not clear, but 25 divided by 4 is 6.25, but it’s students so 6 or 7.
Round 38 to the nearest ten. Enter your answer in the box below.
Answer:
40
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
Here are the rules;
• If the number undergoing the rounding is followed by 5, 6, 7, 8, or 9, round the number up
• If the number undergoing the rounding is followed by 0, 1, 2, 3, or 4, round the number down.
Example: 32 and 38 rounded to the nearest ten is 30 and 40 respectively.
Jessica bought the ingredients to make chicken soup, and wanted to make a double batch, which would be 18 cups of soup. A quick Google search told her that this was 259.9 cubic inches. She hoped the soup pot below would be big enough. The soup pot is 9 inches tall with a radius of 3.5 inches. What is the volume of the soup pot? Answer choices are rounded to the nearest tenth cubic inch. 169.6 cubic inches 890.6 cubic inches 197.9 cubic inches 346.4 cubic inches
Answer: 346.4 in^3
Step-by-step explanation:
The pot can be thinked as a cylinder:
The volume of a cylinder is equal to:
V = (pi*r^2)*h
where h is the height, r is the radius and pi = 3.1416
Here we have that: r = 3.5in, h = 9in.
Then the volume is:
V = 3.1416*(3.5in)^2*9in = 346.4in^3
22. Find the perimeter of the square:
28
Answer:
56√2 ≈ 79.20
Step-by-step explanation:
The hypotenuse of an isosceles right triangle is √2 times the side length, so the side length here is ...
s·√2 = 28
s = 28/√2
The perimeter is 4 times the side length, so is ...
P = 4s = 4·28/√2
= 4·28·(√2)/2 . . . . . multiply by (√2)/(√2) to rationalize the denominator
= 56√2 ≈ 79.195959
The perimeter of the square is 56√2, about 79.20 units.
The Senate in a certain state is comprised of 58 Republicans, 39 Democrats, and 3 Independents. How many committees can be formed if each committee must have 3 Republicans and 2 Democrats?
YuAnswer:
Step-by-step explanation:
I really don't know the answer sorry
PLZ HELP
Figure ABCD is reflected across the x-axis.
What are the coordinates of A' , B' , C' , and D' ?
Enter your answer in each box.
A' (
,
)
B' (
,
)
C' (
,
)
D' (
,
)
A graph with a quadrilateral on it formed between points A begin ordered pair 2, 3 end ordered pair, B begin ordered pair 5, 5 end ordered pair, C begin ordered pair 7, 3 end ordered pair, and D begin ordered pair 5, 2 end ordered pair
Answer:
A' (2,-3)
B' (5,-5)
C' (5,-2)
D' (7,-3)
Step-by-step explanation:
I used desmos graphing calculator to help me solve
Answer: The answers would be A= 2,-3 B= 5,-5 C=-5-2 and D= 7,-3
the atlantic ocean is 2.78×10^4 feet deep at it's lowest point. If a scuba diver dives 1/50 of the total depth of the ocean, enter how many feets he dove down?
Answer:
556 feet
Step-by-step explanation:
What you have to do to get the answer is find out what 10^4 is, and then multiply that by 2.78. After that, you just need to divide it by 50.
10^4 = 10,000
2.78 × 10,000 = 27,800
27,800 ÷ 50 = 556
Answer:
556
Step-by-step explanation:
on a piece of paper, graph f(x)= {x if x<2 2 if x>2}
Answer:
see below
Step-by-step explanation:
The graph has two parts. There is one line for x < 2. It has a slope of 1 and a y-intercept of 0.
The line for x > 2 is the horizontal line x=2.
The point at x=2 is not defined by the function you have posted here, so there is a "hole" in the graph at that point.
Answer:
the person above is correct
Step-by-step explanation:
:p
The smallest multiple of 13 is
Answer:
0
Step-by-step explanation:
The smallest (greater or equal to zero) multiple of 13 is 0
to get a positive multiple of 13 you have to multiply 13 by a natural number:
0 = 13×0
13 = 13×1
26 = 13×2
.
.
.
then the smallest one is 0.
find the missing measurement lesson 13.1, 13.2 A=62.5 length is 14 and width is 11 what is the highth.
Answer:
11.36
Step-by-step explanation:
A=1/2*b*h
62.5=1/2*11*x(height)
62.5= 1/2*11*x
62.5=5.5*x
X=62.5/5.5
=11.36
Tony wants to estimate the number of bees in a beehive. He catches 100 bees from the hive and marks each one with a dye. He then lets the bees go. The next day, tony catches 60 bees from the hive. 15 of these bees have been marked with dye. A) using this information what is a good estimate for the number of bees in the beehive.
Answer:
Number of total bees = 400
Step-by-step explanation:
He catches 100 bees from the hive and marks each one with a dye.
He later catches 60 and 15 were marked with the dye.
Its very to estimate from the data given.
I'll answer it with ratio.
We'll ratio number of bees with dye to total he caught the second day.
I.e 15:60 = 1:4
We'll multiply this ratio with the number he caught the first day to know the total.
1/4x =100
X = 100*4
X= 400
Where x is the total number of bees in the bee hive.
evaluate one third of the sum of 15 and 6
Answer:
7
Step-by-step explanation:
15 plus 6 equals 21
21 divided by 3 is 7
Answer:7
Step-by-step explanation:
sum of 15 and 6
15+6=21
1/3 Of The sum
1/3 of 21
1/3 x 21
(1x21)/3
21/3=7
The area of Jamie's square backyard is 64 square meters. What is the length of one side of Jamie's backyard? Please Answer this asap bc I have to get this turned in, in about 10 mins please hurry
Answer:
8 meters
Step-by-step explanation:
Since the 4 sides of a square are all equal, the area of a square can be found using:
a=s*s or
a=s^2
We know that the area is 64 square meters, so we can substitute 64 in for a
64=s^2
We are trying to find a side, s, so we have to get s by itself. Since s is being squared, take the square root of both sides. This will cancel out the exponent, and leave s by itself.
[tex]\sqrt{64}=\sqrt{s^2}[/tex]
8=s
So, one side of the backyard is 8 meters
The ratio of the number of student in mr. Moore’s class compared to the number of student in miss Henry’s class is 5:4. The ratio of the number students in miss Henry’s class compared to the number of students on mr. Wilson’s class is 8:9. What is the ratio of number of students in mr. Moore’s class to mr. Wilson’s class?
Answer:
10:9
Step-by-step explanation:
First ratio is 5:4. 4 is equal to Henry class
If you múltiply the ratio by 2 you get
10:8, This ratio can be compared because now Henry class has 8
2(5:4)
10:8
8:9
Meaning that the answer is 10:9
The require ratio of number of students in Mr. Moore's class to Mr. Wilson's class is 10:9
What is Ratio?The ratio can be expression as how many times one number contain another number.
For example, If any bag contain 4 apples and 8 oranges then the ratio of apple to orange is 4:8 while the ratio of the orange to the apple is 8:2
How to find ratio?Consider M denote the number student present in the Mr. Moore's class
similarly H denote the number of student in miss Henry's class and W denote the number of student present in Mr. Wilson's class
then we have given that
M : H = 5 : 4 or
[tex]\frac{M}{H} = \frac{5}{4}[/tex]
Also we have H : W = 8 : 9
[tex]\frac{H}{W} = \frac{8}{9}[/tex]
Now multiply these two equations we have
[tex]\frac{M}{H}\times \frac{H}{W}=\frac{5}{4}\times\frac{8}{9}[/tex]
[tex]\frac{M}{W}= \frac{10}{9}[/tex]
The ratio of number of student in Mr. Moore's class to Mr. Wilson's class is 10:9
This is the conclusion to the answer.
Learn more about ratio here-
https://brainly.com/question/2328454
#SPJ2
Two trains leave stations 390 miles apart at the same time and travel toward each other. One train travels at 70 miles per hour while the other travels at 80 miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.
Answer:
Let's denote:
x: the time both trains traveled.
Then, we have:
70x + 80x = 390
=> 150x = 390
=> x = 390/150 = 2.6 hour
Answer:
2.6 hours ( or 2 hours 36 minutes).
Step-by-step explanation:
The combined speed is 70+80 = 150 mph.
Speed = distance / time, so time = distance / speed.
So the time when they will meet
= 390 / 150
= 2.6 hours.
What equations have many solutions
76x+76=76x+76
76x+76=-76x+76
-76x+76=-76x+76
-76x+76=76x+76
Answer:
[tex]76x+76=76x+76\\-76x+76=-76x+76[/tex]
Step-by-step explanation:
They have the same values and the same signs, therefore, they cancel each other giving a result of 0=0
Answer:
0
Step-by-step explanation:
This equation actually has more than one equal sign
Do you remember the difference between a row and a column
in Math?
Answer:
Rows are the steps - they go left to right and are numbered 1,2,3,... Columns are the columns - they go up and down and are lettered A,B,C,... Cells are defined by the row and column they are in.
Step-by-step explanation:
Two figures are arranged as shown. Which of the following can be used to the area of the figure
shaded light gray?
9
9
Answer:
[tex]9^{2} -x^{2}[/tex]
Step-by-step explanation:
The figure is shown in the image attached.
Notice that the shaded light gray area can be calculated by the difference of the bigger square and the smaller square.
The area of the bigger square is: [tex]A_{big}=9^{2}[/tex]
The area of the smaller square is: [tex]A_{small}: x^{2}[/tex]
The difference between these areas is: [tex]A=9^{2} -x^{2}[/tex]
Therefore, the expression that can be used to find the light gray area is: [tex]9^{2} -x^{2}[/tex]
Additionally, the expression [tex]x(9-x)+9(9-x)[/tex] is also a right answer, because it's equivalent to the first answer.
[tex]x(9-x)+9(9-x)=9x-x^{2} +81-9x=81-x^{2} =9^{2} -x^{2}[/tex]
