Testing the hypothesis, we have that:
The null hypothesis is [tex]H_0: \mu = 5.67[/tex]The alternative hypothesis is: [tex]H_1: \mu \neq 5.67[/tex]The p-value of the test is of 0.002252.The p-value is 0.002252 < 0.01, which means that the final conclusion is that the mean weight of quarts made after 1960 is different than 5.67g.At the null hypothesis, we test if the mean is of 5.670g, that is:
[tex]H_0: \mu = 5.67[/tex]
At the alternative hypothesis, we test if the mean is different of 5.670g, that is:
[tex]H_1: \mu \neq 5.67[/tex]
The test statistic is t = -3.276, with the number of degrees of freedom given by:
[tex]df = n - 1 = 39 - 1 = 38[/tex]
The p-value is found using a t-distribution calculator, using a two-tailed test(as the alternative hypothesis is that the mean is different from the value), with t = -3.276 and 38 df. This p-value is of 0.002252.
The p-value is 0.002252 < 0.01, which means that the final conclusion is that the mean weight of quarts made after 1960 is different than 5.67g.
A similar problem is given at https://brainly.com/question/24146681
If f(x) = x3 – 7, show that f-1(x) = Vx+7.
Answer:
f(x)=4−(x−7)
3
Let y=f(x)
So, x=f
−1
(y) ---- ( 1 )
y=f(x)
⇒ y=4−(x−7)
3
⇒ (x−7)
3
=4−y
⇒ x−7=
3
4−y
⇒ x=7+
3
4−y
⇒ f
−1
(y)=7+
3
4−y
.................. [ From ( 1 ) ]
∴ f
−1
(x)=7+
3
4−x
help meeee again ¾÷⅕ =
Answer:
decimal: 2.25
fraction: 9/4
Step-by-step explanation:
Answer:
Fraction: 15/4
Decimal: 3.75
Describe the translation of the point to its image (-2,5) (3,1)
Answer:
it is a
Step-by-step explanation:
2-5
Which is the best definition of coefficient?
A letter that represents an unknown value.
O A number that itinultiplied by a variable.
Operations that "undo" each other.
O A fixed value that does not change.
Answer:
A number multiplied by a variable.
Step-by-step explanation:
For example, 4 is a coefficient.
[tex]4x[/tex]
The question is in the picture
Answer:
[tex]x=-1\\y=3\\z=-4\\[/tex]
Step-by-step explanation:
Please see attached document.
Plz help!!!
A.) is the relationship a function?
B.) explain your answer. Use words “input” and “output”.
C.) Rachel plans to study 2 hours for her next exam. Will plotting her grade on the same graph change your answer to part a?
- No, it will stay a function
- Yes, it would change to not a function
D.) explain your answer from part c. Be specific.
Answer:
no of course yes its no yes
Step-by-step explanation:
Let $\overline{AB}$ and $\overline{CD}$ be chords of a circle, that meet at point $Q$ inside the circle. If $AQ = 6,$ $BQ = 12$, and $CD = 38$, then find the minimum length of $CQ$.
9514 1404 393
Answer:
2
Step-by-step explanation:
The products of chord lengths are the same for the intersecting chords:
AQ×BQ = CQ×DQ
6×12 = CQ×(38 -CQ)
This gives a quadratic in CQ:
CQ² -38CQ +72 = 0 . . . . . write in standard form
(CQ -2)(CQ -36) = 0 . . . . . factor the quadratic
CQ = 2 or 36 . . . . . . . values of CQ that make the factors zero
The minimum length of CQ is 2 units. (DQ will be 36.)
Yes or No. Is it a function? (-1,3), (4,6), (4,8)
Answer:
no
Step-by-step explanation:
13.On many multiple-choice tests, 1 point is given for each correct
answer and 0.25 point is taken away for every wrong answer.
(This is to discourage guessing.) Answers that are left blank
do not affect the score. Gloria scored 62 on a test with 100
questions. Let C be the number of questions Gloria correctly
answered and let W be the number of wrong answers she had.
Give three possible pairs of values of C and W.
b. Write an equation that describes all possible solutions.
c. Graph all possible solutions.
a.
need help with study guide plz!
Answer:
x = 3/5
Step-by-step explanation:
5th root of Y is notated in exponential notation as Y^(1/5), which is Y to the one fifth (1/5) power.
So, the 5th root of 19^3 is (19^3)^(1/5) = 19^(3 * 1/5) = 19^(3/5), since (A^a)^b = A^(a*b).
I need super help with this one.
Which expression is equivalent to 8k+10+9k+1?
-k+11 18k+10
-k+9 or 11+17k
Answer:
[tex]8k + 10 + 9k + 1 = k(8 + 9) + (10 + 1) \\ = 17k + 11[/tex]
Write an equation for a line that passes through the points (1, 2) and (11, 22). The form is your choice.
y=mx+b
-3=3(3)+b
-3=9+b
-12=b
SORMONE PLEASE HELP ME!! ASAP ILL MARK BRAINLIEST!!!
Answer:
C
Step-by-step explanation:
To write the equation of line when slope and one point is given
[tex]y2 - y1 = m(x2 - x1)[/tex]
here m = 3/4
(x1,y1) = 3,-2
Substitute all the values in Formula
[tex]y + 2 = \frac{3}{4} (x - 3) \\ y + 2 = \frac{3}{4} x - \frac{9}{4} \\ y = \frac{3}{4} x - \frac{9}{4} - 2 \\ = \frac{3}{4} x - \frac{17}{4} \\ 4y = 3x - 17 \\ - 3x + 4y = - 17[/tex]
multiply by 4 on both sides
[tex]4y = 3x - 17 \\ - 3x + 4y = - 17[/tex]
a car travels at an average speed of 64 miles per hour. How long does it take to travel in 3 hours and 30 minute
Answer:
4 hours and 30 minutes 288/64 = 4,5
Step-by-step explanation:
help it do today help meeee
please help me asap and show your work
Answer:
A) = 5
B) = 3
C) = [tex]2\sqrt{3}[/tex]
D) = 2.2894
Step-by-step explanation:
A) [tex]x^2=25[/tex]
[tex]\sqrt{x^2} = \sqrt{25} \\x= 5[/tex]
5*5 = 25
B) [tex]x^3 = 27[/tex]
[tex]\sqrt[3]{x^3} = \sqrt[3]{27} \\x=3[/tex]
3*3*3 = 27
C) [tex]x^2 = 12\\[/tex]
[tex]\sqrt{x^2} = \sqrt{12} \\x=2\sqrt{3} \\[/tex]
[tex]2\sqrt{3}[/tex] * [tex]2\sqrt{3}[/tex] = 12
D) [tex]x^3 = 12[/tex]
[tex]\sqrt[3]{x^3} = \sqrt[3]{12} \\x=2.2894.....\\[/tex]
2.2894 * 2.2894 *2.2894 = 12
No exact solution
What is 99x99 - 8x8 + 25+
Answer:
9762
Step-by-step explanation:
Easy Math please help
Answer:
5, i think
Step-by-step explanation:
1. 3x = 15 and divide all by 3 (the number with a variable or letter
Instructions: Create a table of values for the given function.
Function: f(x) = -4x + 3
Answer:
Domain: {-2, -1, 0, 1, 2}
Range: {-5, -1, 3, 7, 11}
Step-by-step explanation:
Given the function, f(x) = -4x + 3:
We could simply substitute the given x-values into the function to solve for its corresponding y-values:
x = -2:
f(-2) = -4(-2) + 3
f(-2) = 8 + 3
f(-2) = 11
x = -1:
f(-1) = -4(-1) + 3
f(-1) = 4 + 3
f(-1) = 7
x = 0:
f(0) = -4(0) + 3
f(0) = 0 + 3
f(0) = 3
x = 1:
f( 1 ) = -4( 1 ) + 3
f( 1 ) = -4 + 3
f( 1 ) = -1
x = 2:
f(2) = -4(2) + 3
f(2) = -8 + 3
f(2) = -5
Attached is a screenshot of the table containing the same solution displayed in this post.
Please take a look at the picture.
This plan or an apartment
What is the perimeter of the bathroom?
p
all
Each red square 1 metre
im
Answer:
12m perimeter
Step-by-step explanation:
all side are 3m so 3x4 = 12m
The sum of 12 and 30 multiplied by 6
Answer:
Step-by-step explanation:
12*30=360
360/6=60
A bird flies down 0 feet and then up 55 feet.
Answer:
ok?
Step-by-step explanation:
If odd natural numbers are less than 7, then they are prime numbers.
True or False?
√3(√6+√15)
simplify to the simplest form possible
Answer:
√3(√6+√15)
= 3**1/2(6**1/2 + 15**1/2)
= 3**1/2 · 6**1/2 + 3**1/2 · 15**1/2
= 18**1/2 + 45**1/2
= (2×9)**1/2 + (5×9)**1/2
= 2**1/2 · 9**1/2 + 5**1/2 · 9**1/2
= 2**1/2 · 3 + 5**1/2 · 3
= 3(√2 + √5)
Step-by-step explanation:
Kendrick went to the playground. He played on the swings for 30 minutes and went on the slide for 30 minutes. It was 11:15 A.M. when Kendrick left the playground. What time was it when Kendrick arrived at the playground? Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
17. What is .25 written in its simplest fraction form? A. 100/25 B.215 C. 14 D.444
Answer:
[tex]25 = \frac{25}{100} [/tex]
so answer is
[tex]a) \: \: \frac{25}{100} [/tex]
which number line shows the following number plotted correctly -0.5,7/4,0.75,-9/4
D, Because there are two negative numbers must be before zero and three positive numbers must be after zero so the right answer is D i'm sure
-0.5 is between -1 and 0
7/4 = 1.75 is between 1.5 and 2
0.75 is between 0 and 1
-9/4 = -2.25 is after -2
1.25 is between 1 and 1.5
How do you get the answer for 37.203-29.8
Answer:
Step-by-step explanation:
37.203
-29.800
=36.203+1-29.800=36.2003-1+0.200=7.403
Answer:
Subtraction,... Below,...!
Step-by-step explanation:
37.203 - 29.800 = 7.403
Subtract like you where subtracting 37203 - 29800 you add the extra 0's to align the would-be decimal points...
37203 - 29800 = 7403
Answer: 7.403
Chow,...!
-3x-2y-3z=5
x+2y-z=-19
-2x+y-2z=1
9514 1404 393
Answer:
(x, y, z) = (-9, -1, 8)
Step-by-step explanation:
My calculator tells me the reduced row-echelon form of ...
[tex]\left[\begin{array}{ccc|c}-3&-2&-3&5\\1&2&-1&-19\\-2&1&-2&1\end{array}\right][/tex]
is ...
[tex]\left[\begin{array}{ccc|c}1&0&0&-9\\0&1&0&-1\\0&0&1&8\end{array}\right][/tex]
This means the solution is (x, y, z) = (-9, -1, 8).
_____
Additional comment
In case you haven't learned how to use your graphing calculator to solve matrix equations, you can solve this system easily as follows:
Subtract 2 times the first equation from 3 times the third equation. This eliminates the x and z terms and gives you the value of y. (y=-1)
Substitute that value into the first and second equations. This gives you two equations in the sum and difference of x and z. (You may need to divide the coefficients by the common factor.) Add these sum and difference equations to find one of the variables, then substitute to find the other.
