Answer:
We reject H₀
Step-by-step explanation:
Normal Distribution with n = 22 ( sample size)
n<30 we need to use a t-student distribution
Sample mean μ = 396
Population mean ( required mean ) μ₀ = 405
Sample variance is 441 then sample standard deviation s = √441
s = 21
Hypothesis Test
Null Hypothesis H₀ μ = μ₀
Alternative Hypothesis Hₐ μ < μ₀
Significance level α = 0,1
The test is a one-tail test to the left
From t-student table we find for t(c)
degree of fredom df = 22 -1 df = 21
and α = 0,1 t(c) = - 1,3232
To compute t(s)
t(s) = ( μ - μ₀ ) / s /√n
t(s) = ( 396 - 405 )*√n / 21
t(s) = - 9 *4,69 /21
t(s) = - 2,01
Comparing
t(s) and t(c) - 2,01 and - 1,3232
|t(s)| > |t(c)| then t(s) is in the rejection region we must reject H₀
Factor the expression using the GCF. 44-11 I NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
11(4-1)
Step-by-step explanation:
11 is the greatist common factor of 44 and 11 so you factor an 11 out of both terms
44/11=4
11/11=4
Therefore the answer is 11(4-1)
Let T: P2 → P3 be the transformation that maps a polynomial p(t) into the polynomial (t-2)p(t).
a. Find the image of p(t) = 2-t + t^2
b. Show that T is a linear transformation.
c. Find the matrix for T relative to the bases (1, t,t^2) and (1,t,t^2,t^3).
(a) Applying T to p(t) = 2 - t + t ² gives
T ( p(t) ) = (t - 2) (2 - t + t ²) = -4 + 4t - 3t ² + t ³
(b) T is a linear transformation if for any p(t) and q(t) in P₂ and complex scalars a and b, the image of any linear combination of p and q is equal to the linear combination of the images of p and q. In other words,
T ( a p(t) + b q(t) ) = a T ( p(t) ) + b T ( q(t) )
Let
p(t) = α₀ + α₁ t + α₂ t ²
q(t) = β₀ + β₁ t + β₂ t ²
Compute the images of p and q :
T ( p(t) ) = (t - 2) (α₀ + α₁ t + α₂ t ²)
… = -2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + α₂ t ³
Similarly,
T ( q(t) ) = -2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + β₂ t ³
Then
a T ( p(t) ) + b T ( q(t) ) = a (-2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + α₂ t ³) + b (-2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + β₂ t ³)
… = c₀ + c₁ t + c₂ t ² + c₃ t ³
where
c₀ = -2 (a α₀ + b β₀)
c₁ = a (α₀ - 2α₁) + b (β₀ - 2β₁)
c₂ = a (α₁ - 2α₂) + b (β₁ - 2β₂)
c₃ = a α₂ + b β₂
Computing the image of a p(t) + b q(t) would give the same result; just multiply it by t - 2 and expand. This establishes that T is indeed linear.
(c) Find the image of each vector in the basis for P₂ :
T (1) = (t - 2) × 1 = t - 2
T (t ) = (t - 2) t = t ² - 2t
T (t ²) = (t - 2) t ² = t ³ - 2t ²
Then
[tex]T=\begin{bmatrix}-2&0&0\\1&-2&0\\0&1&-2\\0&0&1\end{bmatrix}[/tex]
Alex drove 372 miles on I-95 and used 12 gallons of gasoline. How many miles did Alex’s car travel per gallon of gasoline?
Answer:
372/12=31
31mpg
Step-by-step explanation:
Drag and drop the words below to correctly complete the statement of the SAS Similarity Theorem.
5.5.19
Factor out the greatest common factor from the following polynomial.
6x(z + 14)+(z + 14)
Select the correct choice below and, if necessary, fill in the answer box to complete your cho
6x(z + 14)+(z+14) = _______ Type your answer in factored form.)
The polynomial has no common factor other than 1.
Answer:
The greatest common factor of 6x(z + 14)+(z + 14) is 1
and if you want it in factored form it is (z + 14)(6x + 1)
What percentage of the shape is green?
Write your answer using a percent sign (%).
(ASAP)
Answer:
52% of the shape is green
Step-by-step explanation:
13 out of 25 blocks are shaded green = 13/25
13/25 = 52%
I GIVEEE BRAINLILSTTT
Answer:
edfsefesfwefwefwf
Step-by-step explanation:
fwefewfweefwefwefwefewfwefwefwefwef
What is the solution to −6x−4≥−2(x−4) ?
x≤−3
x≥3
x≥2
x≤−1
Answer:
The correct answer is: Option 1: x≤-3
Step-by-step explanation:
Given inequality is:
[tex]-6x-4\geq -2(x-4)[/tex]
First of all, we will distribute -2 into the bracket
[tex]-6x-4\geq -2x+8[/tex]
Then we will add 4 on both sides
[tex]-6x-4+4\geq -2x+8+4\\-6x \geq -2x+12[/tex]
Adding 2x on both sides
[tex]-6x+2x\geq -2x+12+2x\\-4x\geq 12[/tex]
Dividing both sides by 4
[tex]\frac{-4x}{4} \geq \frac{12}{4}\\-x \geq 3[/tex]
As there should be only x on the left side of the inequality we will multiply the inequality with -1.
Multiplying the inequality with -1 reverses the sign of inequality
So,
[tex]x \leq -3[/tex]
Hence,
The correct answer is: Option 1: x≤-3
What percentage of the shape is purple?
Write your answer using a percent sign (%).
First, we see a rectangle shape with little squares in it. The length is 5 and the width is 4. If we multiply them, we get 20 square units. However, we will use the 20 to solve the question. Also, we see that there are only 3 squares.
3/20
Let's divide the fraction. 3 / 20 is 0.15. We result with 0.15. Now, we multiply the decimal by 100 to get a percent; we are converting from decimal to percent. As a result, we get 15% as our answer.
3/20 = 0.15 x 100 = 15%
Harry makes fruit punch with 3 cups of cranberry juice, 2 cups of mandarin orange juice, and 3 cups of watermelon juice. Approximately what percentage of the punch is cranberry juice?
Answer:
37.5%
Step-by-step explanation:
Can someone plz help with this, this is one question, the choices for the first option are; coin, quartered spinner, number cube, or two coins. The choices for the second option are; 5, 4, 20, or 3. And the choices for the last option are; 1/5, 3/16, 3/256, or 1/256, plz help!!!
Answer:
Number cube, 5, and 3/16
2/3 x 2/8 in the simplest form
Answer:
[tex] \frac{1}{6} [/tex]
Step-by-step explanation:
[tex] \frac{2}{3} \times \frac{2}{8} = \frac{2 \times 2}{3 \times 8} = \frac{4}{24} [/tex]
Lets divide the numerator and denominator with 4.
[tex] = > \frac{4 \div 4}{24 \div 4} = \frac{1}{6} [/tex]
what is the graph in slope intercept form
Answer: Slope intercept form is y=mx+b, where m is slope and b is the y-intercept. We can use this form of a linear equation to draw the graph of that equation on the x-y coordinate plane.
Step-by-step explanation:
Answer:
Slope intercept form is y=mx+b which is m is slope and b is the y-intercept.
Step-by-step explanation:
What fraction of an hour is 51 minutes?
Give your answer in its simplest form.
Answer:
0.850
Step-by-step explanation:
how do i write an equation in point-slope form for a horizontal line that passes through(4, –2)??
Answer:
[tex]y = -2[/tex]
Step-by-step explanation:
Given
Horizontal Line
[tex](x_1,y_1) = (4,-2)[/tex]
Required
Determine the equation
The equation is calculated using:
[tex]y - y_1 =m(x-x_1)[/tex]
Where
[tex]m = slope[/tex]
Because the line is a horizontal line, then:
[tex]m = 0[/tex]
Substitute 0 for m and values for x1 and y1 in [tex]y - y_1 =m(x-x_1)[/tex]
[tex]y - (-2) = 0(x -4)[/tex]
[tex]y +2 = 0(x -4)[/tex]
[tex]y +2 = 0[/tex]
Subtract 2 from both sides
[tex]y +2-2 = 0-2[/tex]
[tex]y = -2[/tex]
Hence, the equation is: [tex]y = -2[/tex]
3. A number increased by 5 and divided by 2 is equal to 75. What is the number?
Answer:
633
Step-by-step explanation:
The shaded areas show the fraction of each of four shelves in a toy store that are stocked with toys and games.
Which mixed number represents the amount of shelf space that is filled?
I need an answer ASAP and pls explain I gotta pass this test
Answer:
2 4/12
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given:
g(x) = 5 – 6x
Find:
g(5)
(10 points, Giving brainliest to correct answer) Need in a couple hours
Congruence
Answer:
SSA (or AS*)
Step-by-step explanation:
SSA cannot booe used
just remember that
Someone please help and choose correct answer
Answer:
The equation of line that passes through point (2,-1) and has a slope of -3 is [tex]\mathbf{y=-3x+5}[/tex]
Option A is correct.
Step-by-step explanation:
We need to write equation of line that passes through point (2,-1) and has a slope of -3
The equation is written in slope-intercept form: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
We are given slope: m = -3
We need to find y-intercept (b)
Using the point (2,-1) and slope m=-3, we can find y-intercept
[tex]y=mx+b\\-1=-3(2)+b\\-1=-6+b\\b=-1+6\\b=5[/tex]
So, we get y-intercept b = 5
Now, the required equation having slope m =-3 and y-intercept b = 5 will be:
[tex]y=mx+b\\y=-3x+5[/tex]
So, the equation of line that passes through point (2,-1) and has a slope of -3 is [tex]\mathbf{y=-3x+5}[/tex]
Option A is correct.
Consider a set of data in which the sample mean is 73.4 and the sample standard deviation is 4.9. Calculate the z-score given that x
This question is incomplete, the complete question is;
Consider a set of data in which the sample mean is 73.4 and the sample standard deviation is 4.9. Calculate the z-score given that x = 69.5.
Round your answer to two decimal places.
Answer: the z-score is -0.80
Step-by-step explanation:
Given that;
mean μ = 73.4
standard deviation σ = 4.9
x = 69.5
z-score = ?
z = (x - μ) / σ
we substitute
z = (69.5 - 73.4) / 4.9
z = -3.9 / 4.9
z = - 0.7959 ≈ -0.80 { 2 decimal places }
Therefore, the z-score is -0.80
if im a bot, then, what are you?-
I GIVEEEE BRAINLILST
Answer:
its a scale factor of 4
Step-by-step explanation:
please help me asap
Answer:
The answer to the question provided is 53°.
PLEASE HELP ME ANSWER THIS I WILL GIVE FREE THANKS
Answer:
C: Two solutions
Step-by-step explanation:
If you try to solve the problame you can find to solution's
Hope this Help's
Answer:
lol too bad laurenercsp6fpli
Step-by-step explanation:
1: The temperature is -2
∘C
. If the temperature rises by 15
∘C
, what is the new temperature? (Draw a number line to help)- The temperature is -2 c. If the temperature rises by 15 c, what is the new temperature? Answer {You would do 15c takeaway -2c This would equal to the new temperature as being 13c.}
2: At midnight the temperature is - 6
∘C
. At midday the temperature is 9
∘C
. By how much did the temperature rise? (Draw a number line to help)- 15° Celcius {You can add from -6 +1 till you get to 0 then add the rest of the numbers and it will exactly be 15.}
3:Draw a number line to help you with what the final temperature is.
Then write an addition expression that represents the final temperature.
(Hint: Start temp + movement amount = final temperature )
The temperature was and then fell .
__________ + _________ = __________
The temperature was and then rose .
__________ + __________ = __________
The temperature was and then fell .
__________ + __________ = __________
THIS HELP WITH THE LAST QUESTION THIS WILL MEAN ALOT :( FILL IN THE BLANKS!!!
Answer:
For 1. it's 13 degrees 2. For B it is 15 degrees.
Step-by-step explanation:
thats all i could really answer you should try separating this a little more
Tina is going for a bike ride. When she leaves her house, she starts pedaling and her speed steadily increases. As she approaches the stop sign at the end of her street, she slows down at a steady pace until she comes to a complete stop. After waiting at the stop sign for her turn to go, she starts pedaling again and her speed steadily increases at a slower pace than when she first left her house. She reaches a comfortable speed and rides at this speed until she approaches another stop sign, causing her to steadily slow down until she again comes to a complete stop.
Answer:
1
Step-by-step explanation:
1212112
PLEASE HELP!!!!! I'LL MARK BRAINLIEST Which table represents a linear function with a greater y - intercept than that of the function represented in the graph?
A. X Y
0 3
6 -39
B. X Y
-2 0
0 0
C. X Y
0 5
5 -45
D. X Y
-2 1
0 4
E. X Y
0 -7
4 11
Answer:
The answer is c
Step-by-step explanation:
Answer:the answer is c mark me brainiest remember
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial?
x² + 5x-36
Answer:
A. x + 9
Step-by-step explanation:
x² + 5x - 36 = (x + 9) (x - 4)
Round 8,723 to the nearest thousand
Answer:
9,000
Step-by-step explanation: