The test statistic is x02 = (n - 1)s2/σ2 = 19s2/5. The approximate p-value for this test is 0.025.
a. For x02 = 25.2 and n = 20, the test statistic is:
x02 = (n - 1)s2/σ2 = 19s2/5
where s2 is the sample variance. Under the null hypothesis, x02 follows a chi-squared distribution with n - 1 = 19 degrees of freedom. The p-value is the probability of observing a test statistic as extreme or more extreme than the observed one, assuming the null hypothesis is true. Using a chi-squared distribution table or calculator, we find that the probability of observing a chi-squared value of 19s2/5 or less with 19 degrees of freedom is approximately 0.05. Therefore, the approximate p-value for this test is 0.05.
b. For x02 = 15.2 and n = 12, the test statistic is:
x02 = (n - 1)s2/σ2 = 11s2/5
where s2 is the sample variance. Under the null hypothesis, x02 follows a chi-squared distribution with n - 1 = 11 degrees of freedom. Using a chi-squared distribution table or calculator, we find that the probability of observing a chi-squared value of 11s2/5 or less with 11 degrees of freedom is approximately 0.10. Therefore, the approximate p-value for this test is 0.10.
c. For x02 = 4.2 and n = 15, the test statistic is:
x02 = (n - 1)s2/σ2 = 14s2/5
where s2 is the sample variance. Under the null hypothesis, x02 follows a chi-squared distribution with n - 1 = 14 degrees of freedom. Using a chi-squared distribution table or calculator, we find that the probability of observing a chi-squared value of 14s2/5 or less with 14 degrees of freedom is approximately 0.025. Therefore, the approximate p-value for this test is 0.025.
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A student claims that x=3 and 2+3i are the zeros of a quadratic function. Explain why this is incorrect
Answer:
Because it's not a quadratic function.
Step-by-step explanation:
The imaginary roots of a quadratic equation will always be in form of a ± b thus 3 and 2 + 3i will be incorrect.
What are the roots of an equation?The roots of an equation are the solution of that equation, since an equation consists of hidden values of the variable so to determine them by different processes and then the resultant is called roots.
The standard form of a quadratic equation is,
ax² + bx + c = 0
The root of it is given by,
x = [-b ± √(b²-4ac)]/2a
For being this as imaginary the term b²-4ac < 0
Let's say b²-4ac = -m then
x = (-b/2a) ± (m/2a)i so both root will be imaginary.
Given that one root is real (3) and the second is imaginary (2 + 3i) is not possible.
Hence "The imaginary roots of a quadratic equation will always be in form of a ± b thus 3 and 2 + 3i will be incorrect".
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Find the surface area of the square pyramid shown in the net below. The surface area of the
figure is
cm. (Round your answer to the nearest tenth.)
4 cm
8.4 cm
Answer:
93 cm
Step-by-step explanation:
A 1,000 mL solution of acetic acid contains 26 mL of pure acetic acid. Find the percent concentration of this solution.
Given:
Total solution : 1000mL
Pure acetic acid = 26mL
To find:
The percent concentration of given solution.
Solution:
We know that,
[tex]\text{Percent concentration}=\dfrac{\text{Pure acetic acid}}{\text{Total solution}}\times 100[/tex]
Putting the given values, we get
[tex]\text{Percent concentration}=\dfrac{26}{1000}\times 100[/tex]
[tex]\text{Percent concentration}=\dfrac{26}{10}[/tex]
[tex]\text{Percent concentration}=2.6[/tex]
Therefore, the percent concentration of this solution is 2.6%.
The sides of a rectangle have length x+1 and width x-5. which equation below describes the area A of the rectangle in terms of x?
The number of possible high fives, H, within a group of n people is given by the formula h = 1/2(n^2-n). After the Angels won the world series, there were 66 high fives at Jon’s house. How many people were at Jon’s house?
Answer:
maybe uh 34567
Step-by-step explanation:
(GIVING BRAINILEST) Which characteristic do stable ecosystems tend to have s
Answer:
It will be C
Step-by-step explanation:
This is because ecosystems worh high biodiversity tend to be more stable
Hope this Helped
Answer:
The awnser is c i took the test ( a high amount of bio deversety)
Step-by-step explanation:
plz I NEEEEED HELP NOWWWW PLZ PLZ PLZ
Angle (p+7)° and angle (3p+1)° are a linear pair so their sum will be equal to 180°.
Which means :
[tex] =\tt 3p + 1 + p + 7 = 180[/tex]
Let us solve that equation to find the value of p and the two angles :
[tex] =\tt 3p + 1 + p + 7 = 180[/tex]
[tex] =\tt 3p + p + 1 + 7 = 180[/tex]
[tex] =\tt 4p + 8 = 180[/tex]
[tex] = \tt4p = 180 - 8[/tex]
[tex] = \tt4p = 172[/tex]
[tex] =\tt p = \frac{172}{4} [/tex]
[tex]\hookrightarrow \tt \color{plum}p = 43[/tex]
Thus, value of p = 43
Measure of angle (p+7)° :
[tex] =\tt 43 + 7[/tex]
[tex]\tt\color{plum}angle \: (p + 7)° =\tt 50°[/tex]
Measure of angle (3p+1)° :
[tex] =\tt 43 \times 3 + 1[/tex]
[tex] = \tt129 + 1[/tex]
[tex]\tt\color{plum}angle \: (3p + 1)° = 130°[/tex]
Thus, the measure of the larger angle = 130°
Therefore, the correct option is (a) 130
i need help!!!! list the factors of -108 that equal to -3
Answer:
9 and -12
Step-by-step explanation:
please help me please
Answer:
2πx - 4
Step-by-step explanation:
C = 2πr
r = (x-2)
C = 2π(x-2)
C = 2πx - 4
Write Each Ratio as a Percent
1. 14 losses in 50 games
2. 4/5 of the students ride the bus
3. if AB represents 25% what is the length of a line segment that is 100%?
A________________B
5ft
Answer:
28%
80%
20
Step-by-step explanation:
hope this helps
How do the 6s in 0.96 and 93.601 compare?
The value of the 6 in 0.96 is 100 times the value of the 6 in 93.601.
The value of the 6 in 0.96 is 10 times the value of the 6 in 93.601.
The value of the 6 in 0.96 is 110 the value of the 6 in 93.601.
The value of the 6 in 0.96 is 1100 the value of the 6 in 93.601.
Answer:The value of the 6 in 0.96 is 1/10 the value of the 6 in 93.601. This is because the 6 in 0.9 compared to the 6 in 93.601 which is in the tenths place.
Step-by-step explanation:The value of the 6 in 0.96 is 1/10 the value of the 6 in 93.601. This is because the 6 in 0.96 is in the hundredths place, compared to the 6 in 93.601 which is in the tenths place.
Answer:
The value of the 6 in 0.96 is 110 the value of the 6 in 93.601
Step-by-step explanation:
can someone please help? i’ll mark brainliest!!
Answer:
z+5 z+2 Z i think
Step-by-step explanation:
the lenght is longer to shorter
Answer:
angle # > angle * > angle $
Step-by-step explanation:
Since z + 5 > z+ 1 > z
So, angle # > angle * > angle $ (Angle opposite to greater side is greater and opposite to smallest side is smallest)
−12 = −0.6k solve for k
Answer:
-20
Step-by-step explanation:
Step-by-step explanation:
-12=-0.6k
divide both sides by -0.6
k=20
lmk if this is right
what is the sum of 17 and a difference of 5
Answer:
The answer is 12.
~Hoped this helped~
Answer:
please mark me as brainliest answer
Step-by-step explanation:
The sum of two numbers is 17 and their difference is 5. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 17. In other words, x plus y equals 17 and can be written as equation A:
x + y = 17
The difference between x and y is 5. In other words, x minus y equals 5 and can be written as equation B:
x - y = 5
Now solve equation B for x to get the revised equation B:
x - y = 5
x = 5 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 17
5 + y + y = 17
5 + 2y = 17
2y = 12
y = 6
Now we know y is 6. Which means that we can substitute y for 6 in equation A and solve for x:
x + y = 17
x + 6 = 17
X = 11
Summary: The sum of two numbers is 17 and their difference is 5. What are the two numbers? Answer: 11 and 6 as proven here:
Sum: 11 + 6 = 17
Difference: 11 - 6 = 5
Find the area of the composite
Figure-someone help plz
Answer:
84
Step-by-step explanation:
In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°. Find all possible values of ∠X, to the nearest degree.
Given:
In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.
To find:
The all possible values of ∠X, to the nearest degree.
Solution:
Law of Sines:
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
For ΔWXY,
[tex]\dfrac{w}{\sin W}=\dfrac{x}{\sin X}=\dfrac{y}{\sin Y}[/tex]
Now,
[tex]\dfrac{w}{\sin W}=\dfrac{x}{\sin X}[/tex]
[tex]\dfrac{900}{\sin (157^\circ)}=\dfrac{680}{\sin X}[/tex]
[tex]900\sin X=680\sin (157^\circ)[/tex]
[tex]\sin X=\dfrac{680}{900}\sin (157^\circ)[/tex]
[tex]\sin X=0.295219[/tex]
[tex]X=\sin^{-1}(0.295219)[/tex]
[tex]X=17.17067[/tex]
[tex]X\approx 17[/tex]
Therefore, the value of ∠X is 17 degrees.
I really don't understand this
Answer:
First Game: She wins
Second game: She loses
Third game: She loses
Step-by-step explanation:
If the graph go down she loses, if it goes up she win.
for example on the first try she won so she gets 1 point there is a dot at 1, for the second try she loses so she gets 0 points, the mean score which is (1+0)/2 is .5
on the third try she lost again so she gets another 0 point so (1+0+0)/3 = .33
and so on
The product of two numbers is 24. One of the numbers is 10 units less than the other. The numbers are:
A. 0 and 12
B. 12 and -2
C. 10 and 14
D. -12 and 2
E. -12 and -2
Which is true?
Please I need your help fast
Answer:
E. -12 and -2
Step-by-step explanation:
-12 x -2 = 24
brainliest please
Answer:
Obviously -12 and -2 is true.
PLEASE HELP! DUE SOON!
What is the volume of the rectangular prism below?
Answer:
V=140
Step-by-step explanation:
5*4=20
20*7=140
there's 4 that describe the same function
Answer:
A,B,C,E
Step-by-step explanation:
for a everything is multiplied by 10
for c everything is divided by 6
for b everything is divided by 12
e is the only other one that fits
for a everything is multiplied by 10
for c everything is divided by 6
for b everything is divided by 12
e is the only other one that fits
ABCE is the answer to the question
Check whether -2 is a zero of the polynomial 3x2 + 4x + 32 .
Answer:
x = - 2 is not a zero
Step-by-step explanation:
If x = - 2 is a zero of the polynomial then f(- 2) = 0
f(x) = 3x² +4x + 32
f(- 2) = 3(- 2)² + 4(- 2) + 32 = 3(4) - 8 + 32 = 12 - 8 + 32 = 36
Since f(- 2) ≠ 0 , then x = - 2 is not a zero of the polynomial
I need help, please solve this math problem. If you don't know the answer please don't answer. You will get reported.
Answer:
I believe it's A 2¹²
Step-by-step explanation:
The answer lies in the question itself.
In the equation, we have
3x - y = 12.
This means 3x = 12 + y.
We have to find 8^x/2^y.
8 can be written as 2^3. Therefore, 8^x = 2^3x.
But 3x = 12 + y, hence can be replaced.
Now we have, in the fraction, 2^(12 + y)/2^y.
This can be written as 2^(12 + y - y) = 2^12.
For a school fundraiser, Tory sold 28 bags of popcorn and 40 candy bars and made $282. Jake sold 17 bags of popcorn and 20 candy bars and made $160.50.
Write a system of equations which represents this situation.
A. 28p + 17p and 40c + 20c = 160.50
B. 28p + 20c = 282 and 17p + 40c = 160.50
C. 28p + 40c = 282 and 17 + 20c = 160.50
D. 28p + 40c + 17p + 20c = 282 + 160.50
Idris bought 9 tomato plants for $33.12. How much did each tomato plant cost?
Answer:
9 tomat plant cost= 33.12
each tomato plant cost = 33.12 / 9
answer = 3.68 dalours
Please solve this question
I need help, I don't just need to answer I need to know the steps on how to solve it asap
–4v – 9z – 9v + 2 – 4v find the sum
Answer:
-1x(13v+9z+2)
Step-by-step explanation: try solve this :)
Answer
-17v-9z+2
Step-by-step explanation:
First collect the like terms
-4v-4v-9v-9z+2
-17v-9z+2
Since we can no longer add up due to they are unlike term. Therefore our answer is -17v-9z+2
Find an ordered triple that represents 65 = (2, 6, 8) and Ž = (1, -2, 6).
Answer:
< 40, 28, 72 >
Step-by-step explanation:
Given
y = < 2, 6, 8 > and z = < 7, - 2, 6 > , then
6y + 4z
= 6 < 2, 6, 8 > + 4 < 7, - 2, 6 >
Multiply each component by the scalar quantity
= < 6(2), 6(6), 6(8) > + < 4(7), 4(- 2), 4(6) >
= < 12, 36, 48 > + < 28, - 8, 24 >
Add corresponding components
= < 12 + 28, 36 - 8, 48 + 24 >
= < 40, 28, 72 >
Help me solve thank you will give 20 points
Answer:
Natalie bought 500 apples at $0.40 each, then she pays $0.40 500 times, this means that the total cost of the 500 apples is:
Cost = 500*$0.40 = $200
Now she threw away n apples from the 500 apples, then the number of apples that she has now is:
apples = 500 - n
And she sells the remaining apples for $0.70 each.
a) The amount that she gets by selling the apples is:
Revenue = (500 - n)*$0.70
b) We know that she did not make a loss, then the revenue must be larger than the cost, this means that:
cost ≤ revenue
$200 ≤ (500 - n)*$0.70
c) We need to solve the inequality for n.
$200 ≤ (500 - n)*$0.70
$200/$0.70 ≤ (500 - n)
285.7 ≤ 500 - n
n + 285.7 ≤ 500
n ≤ 500 - 285.7
n ≤ 214.3
Then the maximum value of n must be equal or smaller than 214.3
And n is a whole number, then we can conclude that the maximum number of rotten apples can be 214.