Answer:
1) Since the calculated value of t = -0.241640 does not fall in the critical region so we accept H0 and conclude that there is not enough evidence to show the difference in the mean overall distance of brands.
2) The 95% CI is [-18.587; 1.01242]
Step-by-step explanation:
The given data is
Brand 1 257 276 260 262 287 271 260 265 283 271
Brand 2 273 281 279 275 271 270 263 267 263 268
Difference d -16 -5 -19 -13 -16 - 01 -3 -2 20 3 ∑ -98
d² 256 25 361 169 256 1 9 4 400 9 ∑1490
1) Let the hypotheses be
H0: ud= 0 against the claim Ha: ud ≠0
2) The degrees of freedom = n-1= 10-1= 9
3) The significance level is 0.05
4) The test statistic is
t= d`/sd/√n
5) The critical region is ║t║≤ t (0.025,9) = ±2.262
Calculations
6) d`= ∑di/n= -98/10= -9.8
Sd²= ∑(di-d`)²/n-1 = 1/n-1 [∑di²- (∑di)²n]
= 1/9[1490-(-9.8)²/10] =1/9 [1490-9.604]= 164.4884
Sd= 12.825
Therefore
t= d`/ sd/√n
t= -9.8/ 12.825/√10
t= -0.764132/3.16227= -0.241640
7) Conclusion:
1) Since the calculated value of t = -0.241640 does not fall in the critical region so we accept H0 and conclude that there is not enough evidence to show the difference in the mean overall distance of brands.
2) The confidence interval for the difference of two samples can be calculated by
d ` ± td sd/√n
Putting the values
-9.8 ±2.262* 12.825/√10
[-18.587; 1.01242]
If f(x)=x^5+5x^3+4, what is the remainder when f(x) is divided by x-2?
By the polynomial remainder theorem, the remainder is
f (2) = 2⁵ + 5×2³ + 4 = 32 + 40 + 4 = 76
(The theorem says a polynomial p(x) has remainder p(c) upon dividing it by x - c.)
Which of the following statements about opposites is true? Choose all correct answers.
A. The opposite of 5 is −5.
B. −(−8)=−8
C. The opposite of 0 is 0.
D. −(−2)=2
Answer:
A
Step-by-step explanation:
couch Emanuel is trying to lose weight. he starts 2017 weighing 296 pounds. If he plans to burn enough calories to lose 3 pounds per week, then how many weeks will pass before Coach Emanuel is at most 251 pounds
Will give brainlist for once in my life
Answer:
15 weeks
Step-by-step explanation:
I just answered this one not too long ago
It will take 15 weeks for Emanuel to lose at most 251 pounds.
What is an equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
For example, 3x + 5 = 15.
Given that, Emanuel is trying to lose weight, he starts 2017 weighing 296 pounds.
If he plans to burn enough calories to lose 3 pounds per week,
We need to find that how many weeks will pass before Emanuel is at most 251 pounds,
So, let the number of weeks be x,
We will use here the concept of equations solving,
So, establishing the equations,
296 - 3x = 251
296 - 251 = 3x
45 = 3x
x = 15
Hence, it will take 15 weeks for Emanuel to lose at most 251 pounds.
Learn more about equations, click;
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What’s the correct answer for this question?
ANSWER
l
Or
Or
EXPLANATION
The given line has slope,
and
We can find the equation in the point slope form, which is given by,
We substitute the point and slope to get,
We can also simplify further to get,
We make y the subject to get,
This is called the slope intercept form.
We could also write in standard form to get
Or
Can someone please help me?
9514 1404 393
Answer:
C. 0.25, 1, 2, 4.75
Step-by-step explanation:
The solutions are the x-values of the points where the curves intersect. There are 4 intersection points to the right of the y-axis. Choice C is the only one with four (4) positive values for x.
What is the slope of the line 3y = 4x + 5?
Answer:
4/3
Step-by-step explanation:
If the two spinners below are spun, what is the probability that the numbers will add to less than six?
Answer:
3/4 or 75%
Step-by-step explanation:
There are twelve possible outcomes. (4 green for each of the three orange).
The only combinations that add up to six or more are 2&4, 3&3 and 3&4.
That’s 3 out of 12. So 9 out of 12 combinations will add up to less than 6.
9/12=3/4 or 75%
Answer:
3/4
Step-by-step explanation:
POSSIBLE POINTS: 6
Solve each equation and match the solution.
e+8=31
t−25=54
32=y −21
14=b−12
x+8.95=21.95
n +21 =32
Answers,
1. 23
2. 79
3. 53
4. 26
5. 13
6. 11
How I did this,
What I did was subtract 8 from 31 to get ( e ) by itself.
This subject will get harder so I reccomend you focus on school and learn how to do this.
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answer:
Hi it's down below! Hope it helps
Step-by-step explanation:
1) The angles are Supplementary
This is because both angles form 180°. The angle below angle "7x+9" is the same as 5x+3. The angle above angle"5x+3" is the same as 7x+9.
2) They are both supplementary
They form 180°
3)180° = 12x+12°
4) Solving that:
180° - 12° = 12x
168° = 12x
x = 168°/12
x = 14°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
the answer is 14°
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST
If you draw a triangle with angles that measure 95 degrees and 40 degrees, what will be the measure of the third angle?
Answer: 45°
Step-by-step explanation: All the angles of a triangle have to equal 180.
95 + 40 + x = 180
135 + x = 180
180-135 = 45.
please help me with this
Answer: [tex]30^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]\sin 60=\dfrac{\sqrt{3}}{2}[/tex]
For
[tex]\cos \theta =\dfrac{\sqrt{3}}{2}[/tex]
It indicates [tex]\theta[/tex] lies in I st quadrant. The value of cosine [tex]30^{\circ}[/tex] is equal to [tex]\dfrac{\sqrt{3}}{2}[/tex]
Therefore, [tex]\theta[/tex] must be [tex]30^{\circ}[/tex]
Obtain the truth value of
(i)
If 5 + 6 = 11, then 11 – 6 = 5.
(ii)
If 5 + 8 = 12, then 12 + 8 = 20.
(iii)
If 6 + 9 = 14, then 14 – 7 = 8
(iv)
If 7 + 8 = 15, then 8 – 7 = 2
Please help me..........
Answer:
I think it's 4.5
Step-by-step explanation:
I divided the servings by the packages and I got 4.5 for each of them.
"An education researcher recorded the number of books students read over the last year and the number of vocabulary words that students defined correctly on a test of 100 vocabulary words. The resulting data were used to conduct a hypothesis test to investigate whether there is a positive linear relationship between the number of books read and the number of vocabulary words defined correctly. What are the correct hypotheses for the test?"
Answer:
B
Step-by-step explanation:
log (5x) (x)= 7/2
Answer:
[tex]x = \frac{\sqrt{70} }{10}, - \frac{\sqrt{70} }{10}[/tex]
Find the mean, median, mode, and the range. The picture is for number 12 to 15
1. 6, 9, 2, 4, 3, 6, 5
2. 453, 345, 543, 345, 534
3. 8, 2, 9, 4, 6, 8, 5
4. 1, 15, 9, 12, 18, 9, 5, 14, 7
5. 3, 9, 4, 3, 9, 4, 2, 3, 8
6. 157, 124, 157, 124, 157, 139
Use the picture above to answer the exercise 12 to 15
12. What is the mode?
13. What is the median?
14. What is the mean?
15. If the price of swimming lessons went up to six dollars would it change the
a. Mode?
B. Median?
C mean?
D. Range?
Answer:
1)
mean - 5
median - 5
mode - 6
range - 7
2)
mean - 444
median - 453
mode - 345
range - 198
3)
mean - 6
median - 6
mode - 8
range - 7
4)
mean - 10
median - 9
mode - 9
range - 17
5)
mean - 5
median - 4
mode - 3
range - 7
6)
mean - 143
median - 148
mode - 157
range - 33
12) 9
13) 10
14) 10, 5
15)
If the price of swimming lessons went up to mean and mode would change.
mean - 9.66666667 (9.6 repeating)
median - 10
mode - 10
range - 13
What’s the answer and work for this? Someone please tell me
Answer:
69
because you put them in order least to greatest (or greatest to least)
55, 58, 62, 63, 68, 70, 71, 79, 81, 82
there are 10 numbers total
the two middle numbers are
68 and 70
the number in between is 69
Step-by-step explanation:
median= middle number.
where there is an even amount of numbers, you find the number in between the middle two numbers when in order.
(this can be found by adding the two numbers together and then dividing by 2)
g Let X and Y be two independent standard normal random variables, i.e., each follows the distribution N (0, 1). Now, define two new random variables as Find cov(Z, W)
Answer: hello your question is incomplete below is the complete question
Let X and Y be two independent standard normal random variables, i.e., each follows the distribution N (0, 1). Now, define two new random variables as Z = 11 - X + X²Y, W = 3-Y. find cov ( Z, W )
answer : Cov ( Z, W ) = -1
Step-by-step explanation:
Z = 11 - X + X²Y
w = 3 - Y
Cov ( Z, W ) = Cov ( 11 - x + x^2 Y , 3 - Y )
= Cov ( 11, 3 ) - Cov ( 11, Y ) - Cov(x,3) + cov (x,y) + cov(x^2y, 3) -cov (x^2y, y )
attached below is the remaining part of the detailed solution
hence
Cov ( Z, W ) = -1
(Sorry for my brothers dirty ipad-) but can someone answer this for him? points: 52
Answer:
12 students
Step-by-step explanation:
CLEAN THAT IPAD FOR HIM
Answer:
12 students went to the beach fewer than 2 times.
Step-by-step explanation:
Just count the total number of dots that come before 2.
Suppose Tabitha finds an annuity that pays 7.0% annual interest, compounded semiannually. She decides to invest $650
semiannually in this annuity for 5 years. How much interest does she earn during the 5 years?
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.
Answer:
Rounded to the nearest cent, over 5 years she will earn $ 916.89.
Step-by-step explanation:
Since Tabitha found an annuity that pays 7.0% annual interest, compounded semiannually, and she decided to invest $ 650 semiannually in this annuity for 5 years, to determine how much interest she will earn during the 5 years the following calculation must be performed:
650 x (1 + 0.07 / 2) ^ 5x2 = X
650 x (1 + 0.035) ^ 10 = X
650 x 1,035 ^ 10 = X
916,889 = X
Thus, rounded to the nearest cent, over 5 years she will earn $ 916.89.
Answer: 1125.41
Step-by-step explanation:
First, let’s find out how much is in the account after 5 years. We will use the savings annuity formula
A(t)=d((1+r/n)n⋅t−1)r/n
to find the value of A(5). We know that r=0.07, d=$650, n=2 compounding periods per year and, t=5 years. Substitute these values into the formula.
A(5)=$650 ((1+0.07/2)5⋅2−1)/(0.07/2)
Simplifying gives
A(5)=$650 ((1.035)10−1)/(0.035),
thus
A(5)=$7,625.41.
The sum of all deposits D5 is given by 5⋅2⋅$650=$6,500. Now, substitute these numbers into
A(5)=D5+I5
and solve for I5. This gives
$7,625.41=$6,500+I5,
yielding the total interest paid as $1,125.41. Enter 1125.41 as the answer.
Help what is 3 1/2 divided by 8
Please please please help no link no links no links
Answer:
400
Step-by-step explanation:
V = a² * h/3
Plug in your values:
V = 10² * 12/3
Then solve:
100 * 4 = 400
What is the value of the exponential expression below?
36 1/2
Answer:
D. 6
Step-by-step explanation:
[tex]36 {}^{ \frac{1}{2} } = \sqrt{36} = 6[/tex]
Show your work
2) Is(-3,-7) a solution to
4x – 8y < 24
Show your work
Answer: false, 44 is not less than 24
Step-by-step explanation:
Substitute-3 for x and -7 for y.
4(-3)-8(-7)<24
-12+56<24
44<24
four tenths plus four ninths
Answer:
38/45
Step-by-step explanation:
4/10+4/9 Simplify.
2/5*4/9 Find a common denominator (45).
2/5*9/9=18/45
4/9*5/5=20/45
18/45+20/45=38/45
Hope this helps and have a great day C:
Kareem said that four fifths of his age is 16years how old is Kareem?
Answer:
12.8 so about 13
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
4/5 of his age = 16
1/5 of his age = 16/4=4
which means that 5/5 of his age = 16+4 = 20
Answer right and you get brainliest
What is the area
Answer now please ♀️
Answer:
8/15
Step-by-step explanation:
In a right triangle, where B is an acute angle, the tan B is equal to the measure of the side opposite B divided by the measure of the shorter side at B
tanB = 16/30 = 8/15
Pls help me complete this
Answer:
wow thats alot of "stuff"
Step-by-step explanation:
Answer:
For the first, top one, it is Outcome
For the second one, it is Event
For the third one, it is Trial
For the fourth one, it is Experimental Probability
For the fifth one, it is Probability
All the dimensions of a pentagon were multiplied by the same factor, and the area of the figure changed by a factor of
25. By what factor were the dimensions of the pentagon multiplied?
a) 12.5
b) 625
c) 5
d) 50
Since the area of the figure changed by a factor of 25, a factor by which the dimensions of the pentagon were multiplied include the following: C. 5.
What is a scale factor?In Geometry and Mathematics, a scale factor simply refers to the ratio of two corresponding side lengths in two similar geometric figures such as pentagons, which can be used to either horizontally or vertically enlarge (increase) or reduce (decrease or compress) a function that represents their size.
In Geometry, the scale factor of the dimensions of a geometric figure can be calculated by using the following formula:
(Scale factor of dimensions)² = Scale factor of area
(Scale factor of dimensions)² = 25
Scale factor of dimensions = √25 = 5
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Answer:
c.5
Step-by-step explanation:
