Solution :
ANOVA : Single factor
Groups [tex]$\text{count}$[/tex] [tex]$\text{Sum}$[/tex] [tex]$\text{Average}$[/tex] [tex]$\text{Variance}$[/tex]
Workout 1 5 842 168.4 174.3
Workout 2 5 881 176.2 79.7
Workout 3 5 857 171.4 66.8
Workout 4 5 934 186.8 117.2
ANNOVA
Source of Variance SS df MS F P-value F crit
Between groups 976.2 3 325.4 2.971689 0.063098 3.238872
Within groups 1752 16 109.5
Total 2728.2 19
The null hypothesis is : [tex]$u_1=u_2=u_3=u_4$[/tex]
Alternative hypothesis : At least one of the [tex]$u$[/tex] is not equal.
The significance level = 0.05
Analyzing the sample data:
F statistics is given by :
[tex]$F=\frac{MSB}{MSE}$[/tex]
= 2.97
[tex]$F_{critical}=3.24$[/tex]
The P-value= 0.06
The result : Since the P-value of 0.06 is greater than the significance level (0.05), hence we fail to reject the null hypothesis.
So we cannot conclude that there is no difference between the average maximum heart rates that are achieved during the four workouts.
This graph shows a linear relationship
between the water level in a tank and time
elapsed.
Enter the initial water level, in feet, of the
water tank.
The ratio of boys to girls in the school
band is 4:3. If there are 16 boys, how
many boys and girls are in the band?
A. 12
B. 28
C. 7
D. 21
Answer:
B. 28
Step-by-step explanation:
Answer:
B. 28
Step-by-step explanation:
for every 4 boys there is 3 girls
so,
from 4 to 16 you multiply by 4,
4 x 4 = 16 (what you do to one you do to the other:
4 x 3 = 12
It's asking for the total amount
if there is 16 boys there is 12 girls with the ration of 16:12
add them up,
16 + 12 = 28 (That's your answer).
A company says its premium mixture of nuts contains % Brazil nuts, % cashews, % almonds, and % hazelnuts, and the rest are peanuts. You buy a large can and separate the various kinds of nuts. Upon weighing them, you find there are grams of Brazil nuts, grams of cashews, grams of almonds, grams of hazelnuts, and grams of peanuts. You wonder whether your mix is significantly different from what the company advertises.
1) Explain why the chi-square goodness-of-fit test is not an appropriate way to find out.
A) The chi-square goodness-of-fit test can only be used on counts, weights are quantitative, not counts.
B) The chi-square goodness-of-fit test can only be used on quantitative variable, weights are counts, not quantitative variables.
C) The expected values are percentages, and the actual values are not. Therefore the ch-square goodness-of-fit test cannot be used.
D) The chi-square goodness-of-fit test cannot be use to test this kind of claim
2) What might you do instead of weighing the nuts in order to use a X2 test?
A) There is no way of performing a test without using weight.
B) Count the number of each kind of nut, assuming the company's percentages are based on counts rather than weights.
C) Find the volume of each kind of nut, assuming the company's percentages are based on volume.
Answer:
A) The chi-square goodness-of-fit test can only be used on counts, weights are quantitative, not counts.
B) Count the number of each kind of nut, assuming the company's percentages are based on counts rather than weights.
Step-by-step explanation:
The Test of Goodnes for fit is based on the property that the χ² test is applicable when the cell probabilities depend on unknown parameters, provided that the unknown parameters are replaced with their estimates and provided that the one degree of freedom is deducted from each parameter estimated.
1) So if the estimates ( counts) are missing the test is not applicable.
2) Percentages if treated as counts can be used for the χ² test.
In a math class with 19 students, a test was given the same day that an assignment was due. There were 10 students who passed the test and 11 students who completed the assignment. There were 6 students who failed the test and also did not complete the assignment. What is the probability that a student chosen randomly from the class passed the test and completed the homework?
Answer:
8/19
Step-by-step explanation:
The probability that a student is chosen randomly from the class passed the test and completed the homework will be 0.1637.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
In a math class with 19 students, a test was given the same day that an assignment was due.
There were 10 students who passed the test and 11 students who completed the assignment.
There were 6 students who failed the test and also did not complete the assignment.
Then the probability that a student is chosen randomly from the class passed the test and completed the homework will be
The number of the student who has done at least one assignment or passed the test is 19 - 6 = 13
n(A) = passes student
n(B) = given assignment
Then we have
[tex]\rm n(A \cap B) = n(A) + n(B) - n(A \cup B) \\\\n(A \cap B) = 10 + 11 - 13\\\\n(A \cap B) = 8[/tex]
Then the probability will be
[tex]\rm P = \dfrac{^8C_2}{^{19}C_2}\\\\P = \dfrac{28}{171}\\\\P = 0.1637[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
What does the third equation become?
Answer:
8x-34=74
Explanation-
Suppose the population is all VCU students who track their steps each day. Among these students suppose the mean number of steps per day is 8989 with a standard deviation of 688. There are a few students who take many steps per day, and hence the distribution is skewed heavily to the right. If a simple random sample of 169 VCU students who track their steps each day is selected and the number of steps per day is determined for each, describe completely the sampling distribution of , the resulting mean number of steps per day for this sample of 169 VCU students who track their steps each day.
Answer:
By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 8989 and standard deviation 52.92.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean number of steps per day is 8989 with a standard deviation of 688.
This means that [tex]\mu = 8989, \sigma = 688[/tex]
Describe completely the sampling distribution of the resulting mean number of steps per day for this sample of 169 VCU students who track their steps each day.
Sample of 169 means that [tex]n = 169[/tex]
By the Central Limit Theorem, the sampling distribution is approximately normal, with mean [tex]\mu = 8989[/tex] and standard deviation [tex]s = \frac{688}{\sqrt{169}} = 52.92[/tex].
a line parallel to a line that has a slope of 0 would have the slope of? geometry/algebra
Answer:
0
Step-by-step explanation:
Because
In AHIJ, the measure of ZJ=90°, the measure of ZH=15°, and JH = 54 feet. Find the
length of HI to the nearest tenth of a foot.
Answer:
Step-by-step explanation:
Help please my assignment is due at 7❗️You get brainleist and points if u help just the numbers 10 11 and 12
Answer:
the answer for 12 would be 63
Step-by-step explanation:
7 x 9 x 1
0.5 to the power of 5. help
Answer:
Very simple. 0.03125
Step-by-step explanation: 0.5x0.5x0.5x0.5x0.5=0.03125
Which inequality best represents the graph? O A. 2x + y = 6 O B. x + 2y 6 O c. 2r- y< 6 O D. 2x - y > -6 E. 2x + y26
Answer:
It would be A
Step-by-step explanation:
Select the object with a mass less than 1 kilogram. A.Banana B. Pencil C. Sunglasses D. Dog
Answer:
B. A pencil
Hope it works
Find the area of the polygon in square units.
Answer:
I wanna say 18 but I'm not to sure
What is the next number in the arithmetic sequence below?
-32, -20, -8,4, _, ...
O A. 15
B. 18
O C. 12
D. 16
Answer:
D) 16
Step-by-step explanation:
it is going up by twelve each time.
so add twelve to 4 to get the answer.
A baseball is hit and its height is given by h = 29.4t – 4. 9t^2, where h is the
height of the ball in metres and t is time in seconds. Determine the maximum height
of the baseball.
Answer:
44.1m
Step-by-step explanation:
we are given a quadratic function which represents the height and time of a baseball
[tex] \displaystyle h = 29.4t - 4.9 {t}^{2} [/tex]
we want to figure out maximum height of
the baseball
since the given function is a quadratic function so we have a parabola
which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)
to do so we can use some special formulas
recall that,
[tex] \displaystyle \rm t= \frac{ - b}{ 2a} [/tex]
[tex]\displaystyle H_{\text{max}}=f(t)[/tex]
notice that, our given function is not in standard form i.e
[tex] \displaystyle f(x) = a {x}^{2} + bx + c[/tex]
let's make it so
[tex] \displaystyle h = - 4.9 {t}^{2} + 29.4t[/tex]
therefore we got
our a is -4.9 and b is 29.4
so substitute:
[tex] \displaystyle\rm t= \frac{ -( 29.4)}{ 2 \cdot - 4.9} [/tex]
remove parentheses and change its sign:
[tex] \displaystyle\rm t= \frac{ -29.4}{ 2 \cdot - 4.9} [/tex]
simplify multiplication:
[tex] \displaystyle\rm t= \frac{ -29.4}{ - 9.8} [/tex]
simplify division:
[tex] \displaystyle \: t = 3[/tex]
so we have figured out the time when the baseball will reach the maximum height
now we have to figure out the height
to do so
substitute the got value of time to our given function
[tex]\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2[/tex]
simplify square:
[tex]\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9[/tex]
simplify mutilation:
[tex]\displaystyle H_{\text{max}}=88.2-44.1[/tex]
simplify substraction:
[tex]\displaystyle H_{\text{max}}=44.1[/tex]
hence,
the maximum height of the baseball is 44.1 metres
Answer:
Solution given:
height
h=29.4t – 4.9t²
differentiating each term with respect to time (t)
[tex] \frac{d'(h)}{d(t)} [/tex]=[tex] \frac{d(29.4t – 4.9t²)}{d(t)} [/tex]
[tex] \frac{d'(h)}{d'(t)} [/tex]=29.4-9.8t
again second derivative
[tex] \frac{d''(h)}{d"(t)} [/tex]=-9.8
for maximum, minimum
first derivative =0
29.4-9.8t=0
t=[tex] \frac{29.4}{9.8} [/tex]=3
So it attains maximum height at t=3
so
maximum height=29.4×3-4.9×3² =44.1meters
So.
maximum height of the basketball is 44.1meters
Evan and Dorinda make bracelets for a craft fair.
Evan makes 10 bracelets the first day and 8 bracelets each day after that.
Dorinda makes 8 bracelets the first day and 8 bracelets each day after that.
If they make bracelets for 6 days, how many bracelets will they make in all?
Enter your answer in the box.
Answer:
98 bracelets are in the box
Answer:
112
Step-by-step explanation:
an someone help please and thx:) !
Answer:
x = 29
Step-by-step explanation:
All triangle angles add up to 180 so:
x + 17 + 2x + 5 + 3x - 16 = 180
6x + 6 = 180
6x = 180 - 6
6x = 174
x = 29
Ben has a collection of baseball cards. He has a total of 1,600 cards. Of the baseball cards, 35% are dated before 1980, 25% are dated from 1980 to 2000, and the rest are dated after 2000.
How many baseball cards in Ben’s collection are dated after 2000?
Answer:
640 i think
Step-by-step explanation:
Can somebody help me?
Answer:
A because if you times 14 by three it would become 42 and always inequalities have to multiply.
Hope I helped :)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
v/3 ≤ - 14
x 3 x 3
v ≤ -42
The regular price of a camera is $195. A store offers a 45% off sale. What is the sale price of the camera?
$107.25
$87.75
$150.00
$110.15
Answer:
The Answer is A. $107.25
Step-by-step explanation:
(6x2 – 12x + 48) - (-x? + 247 - 63)
x?+6x^2+12x-136
I think this is the answer
Answer:
6x2−11x−136
Step-by-step explanation:
Let's simplify step-by-step.
6x2−12x+48−(−x+247−63)
Distribute the Negative Sign:
=6x2−12x+48+−1(−x+247−63)
=6x2+−12x+48+−1(−x)+(−1)(247)+(−1)(−63)
=6x2+−12x+48+x+−247+63
Combine Like Terms:
=6x2+−12x+48+x+−247+63
=(6x2)+(−12x+x)+(48+−247+63)
=6x2+−11x+−136
Please help I’ll mark you as brainliest if correct!
Answer:
♥♥♥
I tried solving this answer and got 25.2. So, I think you're answer will be 25.
Step-by-step explanation:
I divided 63 by 2.5. Hope I helped.
An initial investment of $3,000 earns 7% interest compounded continuously. What will the investment be worth in 19 years? (Round your answer to the nearest cent.)
Answer:
$11343.13
Step-by-step explanation:
From the given information:
Principal = 3000
rate = 7% = 0.07
time = 19 years.
The amount of investment after 19 years for a continuous compounded interest can be estimated by using the formula:
[tex]A = Pe^{rt} \\ \\ A = 3000 \times e^{0.07 \times 19} \\ \\ \mathbf{A = \$11343.13}[/tex]
True or False?
The domain and range of a cube root function are always all real numbers.
Answer:
True
For the cube root function f(x)=3√x f ( x ) = x 3 , the domain and range include all real numbers. Note that there is no problem taking a cube root, or any odd-integer root, of a negative number, and the resulting output is negative (it is an odd function).
Hope that helps!
Step-by-step explanation:
Right the slope intercept form for the line that travels through (4,-1) and is parallel to y=1/4x
Answer:
Step-by-step explanation:
The slope is given to you by the line y = 1/4 x
The slope is just read as the number in front of x providing that the coefficient of y is 1. If that is not so, then you must divide by the coefficient in front of y. So far what you have is y = 1/4 x + b.
The second part of the question is to use the given point to find b.
x = 4
y = -1
b = ? substitute x and y to find b
y = 1/4 * 4 + b
- 1 = 1/4 * 4 + b
-1 = 1 + b
-2 = b
The equation of the line is y = 1/4 x - 2 Just to confirm this, I'm going to include the graph with the point 4,-1 on it.
please help.... 50% of my grade
Answer:
Ernesto's construction is wrong.
Step-by-step explanation:
Ernesto's construction is wrong.
This is because when bisecting an angle, the first thing we do is to place the compass at the vertex of the angle we want to bisect and draw an arc that will cross both lines that form the angle.
In Ernesto's case the arc drawn was not a single one but drawn separately as is seen in the image.
The arc on line AV does not continue to line VI but instead he drew another arc with different compass width on line VI before bisecting the angle.
Please help I’ll mark you as brainliest if correct
Kylie surveyed seven classmates about the number of pieces of fruit they eat each week.
9, 4, 6, 2, 11, 10,7
a. What is the mean absolute deviation of the data set?
b. What does this value mean in terms of the data set?
Answer:
2.57
The mean variation in the number of pieces of fruits eaten by the classmates is 2.57
Step-by-step explanation:
Given the data:
X = 9, 4, 6, 2, 11, 10,7
The mean absolute deviation = Σ|x - xbar| / n
Xbar = mean value = Σx / n
n = sample size
The mean, xbar = (2 + 4 + 6 + 7 + 9 + 10 + 11) / 7
Xbar = 49 / 7 = 7
Take the sum of the absolute value of the difference between the mean and x ;
Σ|x - xbar| / n =
= (5 + 3 + 1 + 0 + 2 + 3 + 4) / 7
= 2.57
Rose has two baskets; one contains apples and the other contains bananas. Together, the baskets weigh 5.45 pounds. Find the weight of the basket of bananas, if the apple basket weighs 2.16 pounds. What would the variable x represent in this equation? *
Answer:
hi!!! the answer is x = weight in pounds of bananas in the basket!
hope that helped
Step-by-step explanation:
so we have the total of the apple in the basket so we already know the apple but we need to know the bananas weight in the basket!
Citcotel charges $1.94 per gallon of gas. Chevlon gas prices are displayed in the graph below.
Answer:
i cant see the graph
Step-by-step explanation: