Answer:
The confidence Interval is [- 0.7053 10.4521]
a: The hypotheses are
H0: μ1=μ2 against the claim Ha :μ1≠μ2
b. The critical value for t∝/2 for 17 d.f t > 2.508 and t < -2.111
c. t= -2.8422
d. The calculated value of t= -2.8422 is less than t < -2.11 the critical value therefore we reject H0 and conclude there is a difference between the two means.
Step-by-step explanation:
When the standard deviations are not the same then the confidence intervals for mean differences are calculated as
(x1`-x2`)- t∝/2 √s1²/n1 + s2²/n2 < u1-u2 < (x1`-x2`)+ t∝/2 √s1²/n1 + s2²/n2
x1`= 21 x2`= 27
n1= 10 n2= 14
s1= 5.6 s2= 4.3
The degrees of freedom is calculated using
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
= 17
The t∝/2 for 17 d.f = 2.11
Putting the values
(x1`-x2`)- t∝/2 √s1²/n1 + s2²/n2 < u1-u2 < (x1`-x2`)+ t∝/2 √s1²/n1 + s2²/n2
(21-27) - 2.11√5.6²/10+ 4.3²/14 < u1-u2 <(21-27) +2.11√5.6²/10+4.3²/14
6- 2.11*2.111 < u1-u2 < ( 6 ) +2.11*2.111
6- 4.4521 < u1-u2 < ( 6 ) +5.294
- 1.5479 < u1-u2 < 10.4521
The confidence Interval is [- 0.7053 10.4521]
a: The hypotheses are
H0: μ1=μ2 against the claim Ha :μ1≠μ2
The claim is that there is a difference in the average time spent by the two services
b. The critical value for t∝/2 for 17 d.f t > 2.508 and t < -2.111
The degrees of freedom is calculated using
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
= 17
c. The test statistic is
t= (x1`-x2`) /√s1²/n1 + s2²/n2
t= (21-27) /√5.6²/10+ 4.3²/14
t= -6/2.111
t= -2.8422
d. The calculated value of t= -2.8422 is less than t < -2.11 the critical value therefore we reject H0 and conclude there is a difference between the two means.
Simplify the following radical expression square root of 20
Answer:
2 radical 5
Step-by-step explanation:
i am smart
Answer:
[tex]\sqrt{20} =2\sqrt{5}[/tex]
Step-by-step explanation:
Given:
[tex]\sqrt{20}[/tex]
Step 1: Factor out the biggest square number:
[tex]\sqrt{4}\sqrt{5}[/tex]
Step 2: Simplify:
[tex]2\sqrt{5}[/tex]
Therefore, [tex]\sqrt{20} =2\sqrt{5}[/tex]
Valerie and Bret have a total of 21 dog show ribbons. Bret has twice as many ribbons as Valerie. How many ribbons does each have? Plz help
Answer11
Step-by-step explanation:
Choose all the numbers that make 5 × □ < 5 true.
A- 1 1/4 B-3/8 C-10/11 D-4 4/5 E- 4/3 F- 1/4
Answer:
B, C, F
Step-by-step explanation:
It's asking 5 x (what?) is less than 5.
It has to be less than one to be a correct answer then.
The class president won the election by a vote of 3 to 2 her opponent received 356 votes. How many votes did the winner receive?
Answer:
534
Step-by-step explanation:
You are buying the new iphone 7 that originally costs $299. Verizon is running a sale that all phones are now 30% off. The sales tax is 7% in the state of New Jersey. What is the total you will pay for the ipone
Answer:
$233.95
Step-by-step explanation:
299 x 0.7 = 209.30
209.30 x 1.07 = 233.95
Two people meet in the purple room on the fourth floor of a building. On departure, one person travels West 20 feet, South 12 feet, and Down 12 feet. The other person travels North 20 feet, East 10 feet, and Up 12 feet. How far apart are the two people? Round to the nearest tenth.
Answer:
50 feet
Step-by-step explanation:
Set up a 3-dimensional coordinate system (see the attached image).
This setup shows an axis that runs North-South (South is negative, North is positive), an axis that runs East-West (East is positive, West is negative), and an axis that runs Up-Down (Up is positive, Down is negative).
The two points in question are then:
First person's location (12, -20, -12), and the second person's location is (-20, 10, 12).
The distance between two points [tex]\left( x_1,\,y_1,\,z_1\right)[/tex] and [tex]\left( x_2,\,y_2,\,z_2\right)[/tex] is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2[/tex]
[tex]d=\sqrt{(-20-12)^2+(10-(-20))^2+(12-(-12))^2}\\\\d=\sqrt{(-32)^2+30^2+24^2}\\\\d=\sqrt{2500}\\\\d=50[/tex]
7) WILL MAKE BRAINLIEST
write the slope-interception form of the equation of each line.
PLEASE HELP BRO IM FAILING MATH
Answer:
Step-by-step explanation:
we have several angles that have the same vertex and so they are congruent
1) e = 35 degrees because the opp angle has this measure
2) d = 109 degrees for the reason above
3) for find f we have to notice that the sum of the three angles (if you look at the vertical line you can notice that it is a straight line, so describes two angles whose measures are 180 degrees)
f = 180 - (35 + 109)
f = 180 - 144 = 36 degrees
Please help me this is for a test. Thank you so much whoever answers this.
Answer: Pretty sure the answer is 3.
Step-by-step explanation:
[tex]\frac{2(4+7)-7}{5}[/tex]
[tex]\frac{2(11)-7}{5}[/tex]
[tex]\frac{22-7}{5}[/tex]
[tex]\frac{15}{5}[/tex]
-7 2/3 + (-5 1/2) + 8 3/4
in faction
Answer:
= -4.41666666667
Step-by-step explanation:
Answer:
[tex]-7\frac{2}{3} + -5\frac{1}{2} +8\frac{3}{4}\\\\\frac{-23}{3} -\frac{11}{2} + \frac{35}{4}\\\\[/tex]
LCM (3, 2 ,4) = 12
[tex]\frac{(-23*4) -(11*6)+(35*3)}{12} = \frac{-92-66+105}{12} =\frac{-53}{12} = -4\frac{5}{12}[/tex]
Help help help I need help ASAP
Answer: 54.4
Step-by-step explanation:
The question is in the picture
Answer:
Step-by-step explanation:
x>-5
What is the solution to this equation?
Answer:
B. ½
Step-by-step explanation:
9^x -1 = 2
9^x = 2+1
9^x = 3
9^x = √9
9^x = 9^½
x=½
Which angle is vertical to AFC?
Pretty sure the answer is DFE
In ΔEFG, f = 37 inches, g = 92 inches and ∠E=97°. Find the area of ΔEFG, to the nearest square inch.
Answer:1689
Step-by-step explanation:
Delta Math
this is another one .........
Answer:
Follow the step to find the answer.
Step-by-step explanation:
-2(x + 5) = 4
(-2 × x) + (-2 × 5) = 4
-2x + -10 = 4
-2 = 4 + 10
x = 14 / -2
x = -7
Hope this helps, thank you :) !!
Answer:
Her is th answer it’s on the image
Step-by-step explanation:
Rationalize the denominator and simplify
help me please i will give 50 pts and a brainiest
Answer:
14 Feet
Step-by-step explanation:
Answer:
14 is the answer
140/10=14
hope this helps
have a good day :)
Step-by-step explanation:
What is the volume of this composite solid?
4 m
2 m
7 m
2 m
2 m
O A. 58 cubic meters
O B. 64 cubic meters
O C. 78 cubic meters
O D. 62 cubic meters
Answer:
64
Step-by-step explanation:
A P E X
Three times a number, x, increased by four is equal to five times the number, x. Which equation can be used to solve for
O 3x+ 5x=4
O 3x+4= 5x
О 3x =4+5х
O 3x-4-5x
I NEED HELP AGAIN YALL
Answer: Y=-5x+3
Step-by-step explanation:
first slope= 0 on the x axis so -2-3=-5
to get 3 you can do 4-1=3 or 7-4 or even 1-(-2)!
Correct answer: [tex]y = 3x -5[/tex]
You don't have to use the whole table in order to find equation. You can use just two points on the table to start.
In order to find the slope, the formula for that is: [tex]\frac{y_{2}-y_{1}}{x_{2} - x_{1}}[/tex]. So, we can start with points (1, -2) and (2, 1). Label (1, -2) as [tex]x_{1}[/tex] and [tex]y_{1}[/tex]; label (2, 1) as [tex]x_{2}[/tex] and [tex]y_{2}[/tex]. Now we can plug the numbers into the formula.
[tex]\frac{1-(-2)}{2 - 1}[/tex] → [tex]\frac{3}{1}[/tex] → [tex]3[/tex] is the slope.
To find the y-intercept, substitute (1, -2) into [tex]y = 3x + b[/tex].
[tex](-2) = 3(1) + b[/tex]
[tex]-2 = 3 + b[/tex]
[tex]-3[/tex] [tex]-3[/tex]
________
[tex]b = -5[/tex] is the y-intercept.
Thus, the slope-intercept equation is [tex]y = 3x -5[/tex]. Hope this helps :) Let me know if you have any other questions related to this problem!
please help due in an hour
Answer:
x=30°
Step-by-step explanation:
3x-10=2x+20
3x-2x=20+10
x = 30°
just x, no y in the photo
PLEASE HELP 20 POINTS
Answer:
43 3/4 cups of cheese
8 3/4 cups of olives
26 1/4 cups of sausage
Step-by-step explanation:
Answer:
43 3/4 cup of cheese
26 3/4 cups of olives
8 1/3 cups of sausageJill is swimming laps in a pool. The table shows how the total distance she swims depends on the number of laps she does.
Number of Laps - Total Distance (Meters)
5 250
10 500
15 ?
20 1,000
25 1,250
A. 50
B. 75
C. 550
D. 750
Answer:
the expression b/c=b/c is an example of a/an
Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let Χ be the random variable representing the time it takes her to complete one review.Assume Χ is normally distributed.Let be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews.
A. Find the probability that the mean of a month’s reviews will take Yoonie from 3.5 to 4.25 hrs. Sketch the graph, labeling
and scaling the horizontal axis. Shade the region corresponding to the probability.
b. P(________________) = _______
C. Find the 95th percentile for the mean time to complete one month's reviews. Sketch the graph.
D. The 95th Percentile =____________
Answer: i think it would be 20
Step-by-step explanation:
if you do the problem it should show you
Please help thank you
Answer:
x =14
<A = 7x -11 = 87
<B = 2x-3 = 25
<C = 5x -2 = 68
Step-by-step explanation:
The sum of the angles add to 180
7x -11 + 2x-3 + 5x-2 = 180
Combine like terms
7x +2x+5x -11-3-2 =180
14x-16=180
Add 16 to each side
14x-16+16 =180+16
14x = 196
Divide each side by 14
14x/14 =196/14
x =14
<A = 7x -11 = 7*14 -11 = 98-11 = 87
<B = 2x-3 = 2*14 -3 = 28-3 = 25
<C = 5x -2 = 5*14 -2 = 70-2 = 68
Solve the system of equations
-2x-3y=21
-6x+2y
Part 1: Explain the steps you would take to solve the system by eliminating the x-terms.
Part 2: Explain the steps you would take to solve the system by eliminating the y-terms.
Part 3: Choose either of the methods described in parts 1 or 2 to solve the system of equations. Write you answer as an ordered pair. Show you work.
Answer:
[tex] \huge\mathcal\colorbox{red}{\color{pink}{ᶛɲƧཡэʀ}}[/tex]
Value of x & y when
equations are
2x-3y=-21-6x+2y= 7is
x = 1.5
y = 8
What is the simplest form x^2-16/x^2+5x+4fied form of
9514 1404 393
Answer:
(x -4)(x +1)
Step-by-step explanation:
[tex]\dfrac{x^2-16}{x^2+5x+4}=\dfrac{(x+4)(x-4)}{(x+4)(x+1)}=\boxed{\dfrac{x-4}{x+1}}\qquad x\ne-4[/tex]
The simplified form comes with a domain restriction corresponding to the hole in the function where the original denominator is zero.
BE QUICK GIVING BRAINIEST
A cylinder with a diameter of 24 inches and a height of 8 inches has the same volume as a cone with a diameter of 12 inches.
What is the height of the cone?
A. 4 Inches
B. 16 inches
C. 48 inches
D. 96 Inches
Answer:
D. 96 inches.
Step-by-step explanation:
Radius of cylinder = 1/2 * 24 = 12 inches.
Radius of the cone = 1/2 * 12 = 6 inches.
Volume of the cylinder = pi r^2 h and volume of the cone = 1/3 pi r^2 h
So pi 12^2 * 8 = 1/3 pi * 6^2 * h
1152 pi = 12 pi h
h = 1152/12
h = 96 inches.
Please help me thank you !!!
Answer:
1. 19.8 or 20 dollars
2. 91.6 or 90 dollars
3. 108.9 or 110 dollars
4. 8.98 or 9 dollars
5. 2.91 or 3 dollars
i can't see 6 but just divide the total cost by how many items
Step-by-step explanation: