Answer:
The p-value of the test is 0.1117 > 0.1, which means that there is not significant evidence at the 10% significance level that the battery life is lower than 1100 hours.
Step-by-step explanation:
A manufacturer reports that the mean lifetime of its lithium batteries is 1100 hours, but there are customer complaints that the battery life is lower.
At the null hypothesis, we test that the mean lifetime of the battery is of 1100 hours, that is:
[tex]H_0: \mu = 1100[/tex]
At the alternate, we test that is is lower, that is:
[tex]H_a: \mu < 1100[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
1100 is tested at the null hypothesis:
This means that [tex]\mu = 1100[/tex]
A consumer advocate group selects 25 of these batteries at random and finds the mean lifetime to be 1080 hours with a standard deviation of 80 hours.
This means that [tex]n = 25, X = 1080, s = 80[/tex]
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{1080 - 1100}{\frac{80}{\sqrt{25}}}[/tex]
[tex]t = -1.25[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean below 1080, which is found using a left-tailed test for t = -1.25, with 25 - 1 = 24 degrees of freedom.
With the help of a calculator, this p-value is of 0.1117
The p-value of the test is 0.1117 > 0.1, which means that there is not significant evidence at the 10% significance level that the battery life is lower than 1100 hours.
What is the sum of the whole number and the improper fraction?
4+7/4 A. 4 3/4 B. 5 3/7 C. 5 3/4 D. 4 3/7
Answer:
C. 5 3/4
Step-by-step explanation:
You have to write all numerators above the common denominator
4+7/4=16+7/4
Add the numbers together
16+7/4=23/4
Simplify the fraction
23/4=5 3/4
Which pair of expressions is equivalent using the Associative Property of Multiplication?
A. 4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
B. 4(2a ⋅ 5) = 8a ⋅ 20
C. 4(2a ⋅ 5) = (2a ⋅ 5) ⋅ 4
D. 4(2a ⋅ 5) = 4 ⋅ 2a ⋅ 5
Answer:
4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
Step-by-step explanation:
Let A, B and C be the required expression, according to Associative property;
(A+B)+C = A+(B+C)
This shows that no matter the sum of values in parenthesis, it does not alter the values at both sides.
From the given expression, the expression that is equivalent using the Associative Property of Multiplication is 4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
Note that the product of the values in bracket do not affect the final values
4(2a ⋅ 5) = 4(10a) = 40a
(4 ⋅ 2a) ⋅ 5 = 8a ⋅ 5 = 40a
You can see that both expressions gives the same values
Solve the simultaneous equations
4x3y=32
4x-y=16
Step-by-step explanation:
Solve equation [2] for the variable y
[2] y = -4x + 16
// Plug this in for variable y in equation [1]
[1] 4x + 3•(-4x+16) = 32
[1] -8x = -16
// Solve equation [1] for the variable x
[1] 8x = 16
[1] x = 2
// By now we know this much :
x = 2
y = -4x+16
// Use the x value to solve for y
y = -4(2)+16 = 8
Solution :
{x,y} = {2,8}
WHATS THE ANSWER?? answer ASAP NO FILE AT ALL
Answer:
B
Step-by-step explanation:
Answer:
The answer would be B!
what's the answer to the picture below
9514 1404 393
Answer:
B. √900
Step-by-step explanation:
The solutions to the equation are ...
x = ±√900 = ±3√100 = ±10√9 = ±30
Of the offered choices, the only one that matches any of these is ...
√900
Click on three points that are solutions to y = 2x + 1.
A. (0,0)
B. (0, 1)
C. (1,0)
D. (1,3)
E. (2,5)
F. (4,8)
Answer:
B, D, E
Step-by-step explanation:
Match the items in a credit card statement to their descriptions.
the maximum credit available on a credit card
determines the finance charge
payable on credit purchases
the amounts debited to the credit card account
the period for which transactions are
recorded in a credit card statement
1.billing cycle
2.annual percentage rate
3.credit line
4.new purchases
Answer:
Billing cycle: The period for which transactions are
recorded in a credit card statement
Annual Percentage Rate: Determines the finance charge
payable on credit purchases
Credit Line: The maximum credit available on a credit card
New Purchases: The amounts debited to the credit card account
Step-by-step explanation:
Took the test on Edmentum and got 5/5
find two numbers if there sum is -11 and there difference is 41
x = 26. y = -15
Step-by-step explanation:
Let x and y be the two numbers
x + y = 11. #1
x - y = 41. #2
Adding the two equations together, we get
2x = 52 ----> x = 26
Using this value on equation #2, we get
26 - y = 41
or y = -15
if you triple the number of times elizabeth has cooked dinner for her family and then add for you get the number of times her sister joy has coached the family's thinner of joy has cut the family's dinner 25 times how many times did has elizabeth cook dinner?
Answer:
Step-by-step explanation:
She has cooked 75 times
Simplify the expression. - 17b + a +235 + 240
Answer:
a-17b+475
Step-by-step explanation:
Let's simplify step-by-step.
−17b+a+235+240
Combine Like Terms:
=−17b+a+235+240
=(a)+(−17b)+(235+240)
=a+−17b+475
Answer:
=a−17b+475
Find an equation for the inverse for each of the following relations.
4. y = x - 5
Answer:
y = x + 5
Step-by-step explanation:
We need to find the inverse of the given relation . Firstly replace x with y and then solve for y to get the inverse . We have ,
=> y = x - 5
Replacing x and y=> x = y - 5
=> y = x + 5
Hence the Inverse of the relation is y = x + 5 .DOES ANYONE KNOW THE ANSWERS TO THESE PROBLEM, PLZ HELP!
Answer:
Q.1.
Sum of angles of a triangle = 180°
∠A + ∠B + ∠c = 180
(3x - 9) + (4x + 15) + 90 = 180
3x - 9 + 4x + 15 + 90 = 180
7x + 96 = 180
7x = 84
x = 12
∠A = 3x - 9 = 3(12) - 9 = 36 - 9 = 27°
∠B = 4x + 15 = 4(12) + 15 = 48 + 15 = 63°
∠A = 27°
∠B = 63°
Q.2.
[tex]using \ pythagoras \ theorem \\x^2 = 7^2 + (7\sqrt{3} )^{2} = 49 + 49(3) = 196\\x = \sqrt{196} = 14[/tex]
[tex]sin y = \frac{opposite}{hypotenuse} = \frac{7\sqrt{3} }{14} = \frac{\sqrt{3} }{2} \\\\y = sin^{-1} (\frac{\sqrt{3} }{2} ) = 60[/tex]
x = 14
y = 60°
NO LINKS. Find the measure of the angle or arc indicated. Part 2
9514 1404 393
Answer:
14. C) 136°
15. C) 40°
Step-by-step explanation:
Inscribed angles are half the measure of the arc they intercept. For an inscribed quadrilateral, this means opposite angles are supplementary.
__
14) ∠H +∠W = 180°
34x +55x +2 = 180
89x = 178 . . . . . . . . . subtract 2
x = 2 . . . . . . . . . . . . . divide by 89
arc VX = 2(34x) = 68(2) = 136 . . . degrees
__
15) The sum of angles in the triangle is 180°.
? + 80° + (120°/2) = 180°
? = 40° . . . . . . . . . . subtract 140°
Answer:
Solution given:
14.
34x+55x+2=180°[sum of opposite angle of a cyclic quadrilateral is supplementary]
89x=180°-2
x=178/89
x=2°
now
m arc VX=2× <H[ central angle is twice the inscribed angle standing on a same base]
m arc VX=2(34×2)=136°
Option C.
15.
Solution given:
<B=80°
<C=½ arc AB[central angle is twice the inscribed angle standing on a same base]
<C=½×120°=60°
we have
<A+<B+<C=180°[ sum of interior angle of a triangle is 180 ]
<A=180-80°-60°
<A=40°
option C.
Tessellations
How do you distinguish between problems requiring area formulas and problems requiring perimeter formulas?
a. area - space inside a figure perimeter - distance around figure
b. area - distance around figure perimeter - space inside a figure
c. area - twice the width plus twice the length perimeter - length times width
d. area - the sum of all sides perimeter - 2 times the diagonal of the figure
Please select the best answer from the best choices provided
Answer:
A. Area - space inside a figure perimeter - distance around figure
Step-by-step explanation:
I calculated it logically
Olivia's team played 8 games of basketball. During those 8 games her team's score was: 70, 67, 79, 66, 64, 80, 64 and 75. Find the mode and range
Round to the nearest TENTH.
Question 3 options:
Answer:
64 is the mode and
it goes from 64, 64, 66,67, 70, 75, 79, and 80, so the range is 80- 64 which is 16
Step-by-step explanation:
What is the sum of the first ten terms in a geometric series
with a1=
6 and r = 2?
Answer:
[tex]S_{10} = 682[/tex]
Step-by-step explanation:
Given
[tex]a_1 = 6; r = 2[/tex]
Required
[tex]S_{10[/tex]
This is calculated as:
[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]
So, we have:
[tex]S_{10} = \frac{6 * (2^{10} - 1)}{10 - 1}[/tex]
[tex]S_{10} = \frac{6 * (1024- 1)}{9}[/tex]
[tex]S_{10} = \frac{6 * 1023}{9}[/tex]
[tex]S_{10} = 682[/tex]
Plz Help!! I’m stuck on this.
Answer:
1. (5,7)
2. (8,0)
3. (2,1)
4. (4,22)
5. (-3,78)
6. (2,10)
7. (3,9)
8. (-2,1)
Step-by-step explanation:
The school that Emily goes to is selling tickets to the annual dance competition.
On the first day of ticket sales the school sold 3 senior citizen tickets and 14 child tickets for a total of $145.
The school took in $178 on the second day by selling 6 senior citizen tickets and 14 child tickets.
Find the price of a senior citizen ticket and the price of a child ticket.
Answer:
price for senior citizen is $11
price for child ticket is $8
m∠1=(3x+21)° and m∠3=(4x+9)° what is the value of x
Value of [tex]x[/tex] as per considering given pair as vertical opposite angles is equals to [tex]12[/tex] degrees.
What are vertical opposite angles?" Vertical opposite angles are defined as when two straight line intersect each other , the two non adjacent angles are vertical opposite angles. Measure of vertical opposite angles are always equal."
According to the question,
Given measure of angles,
[tex]m \angle1 = (3x + 21)\°[/tex]
[tex]m \angle3= (4x + 9)\°[/tex]
Consider both the angles as vertically opposite angles we get,
[tex]m \angle1 =m \angle3 \\\implies(3x + 21)\° = (4x + 9)\°\\\\\implies 4x -3x = (21 - 9))\°\\\\\implies x = 12\°[/tex]
Hence, value of [tex]x[/tex] as per considering given pair as vertical opposite angles is equals to [tex]12[/tex] degrees.
Learn more about vertical opposite angles here
https://brainly.com/question/18045519
#SPJ2
Factor 3x2 + 42x + 147 completely.
A) 3(x + 1)(x + 49)
B) (3x + 21)(x + 7)
C) 3(x + 7)2
D) (3x + 7)2
You are giving a bag of jelly beans. There are 7 red, 8 blue, 4 elbow, and 10 pink. Find the probability of eating 3 red jelly beans in a row
y=-1/4(x-10)^2+28 write in standard form
Answer:
[tex]y = -\frac{1}{4}x^{2} + 5x + 3[/tex]
The image
shown at the right contains many triangles.
Describe the different types of triangles found in
the image.
Answer:
Cna you please put a image, I would like that so much so I can help you?
Step-by-step explanation:
What is the volume of the rectangular prism? . choices: (63yd^3) (7yd^3) (22.5yd^3) (189yd^3)
Answer: (7yd^3)
Step-by-step explanation:
Width= [tex]3*\frac{1}{3}[/tex]
Length= [tex]7*\frac{1}{3}[/tex]
Height= [tex]9*\frac{1}{3}[/tex]
Width= 1
Length= 2.33333333333...
Height= 3
1*2.33333333333*3= 6.99999999999
6.99999999999 is round up to 7
So that would be (7yd^3)
Answer:
Step-by-step explanation:
I just did the test. Answer is 7yd
Kari worked twice as many hours as Chris. She also worked ten less than three times as many hours as Mark. Chris and Mark worked the same number of hours.
Answer:
Kari = 20 hours
Chris = 10
Mark = 10
Explanation:
K is Kari's hours
C is Chris's hours
Karis = 2 x C = K
Chris = C
Mark = C
3C - 10 = K
Assume C is 10 (since 10 is 1/3 of the hours mentioned)
2 x 10 = 20 so K worked 20 hours
20 is twice as much as 10 (C's hours)
and it's 30 - 10 (10 less than 3 times as many hours as Mark)
Only answer if you’re sure... will give Brainly thank you :)
Answer:
Step-by-step explanation:
f(x) = x^2 + 3x - x/2
f(x) = x^2 + 2.5x
3x - 1/2x = 6x/2 - 1/2x = 5x/2 = 2.5x
f(6) = 6^2 + 2.5*6
f(6) = 36 + 15
f(6) = 51
a polygon is shown what is the measure of U
Answer:
120
Step-by-step explanation:
That's a guess, but it's the most logical one.
Imagine we paint a 4x4x4 cube blue on every side.how many of the small cubes have 3 blue faces? How many have 2 blue faces? How many have 1 blue face? How many have not been painted at all? And how many faces would be painted in a cube of any size.think visually
PLEASE ANSWER ASAP. WILL MARK BRAINLIEST!
The base of a rectangular prism has an area of 6 cm². The height of the
rectangular prism is 5 cm. What is the volume of the prism?
Answer:
30 cm ^3
Step-by-step explanation:
Volume = Length x Width x Height
L and W =6cm^2
H=5cm
Hope this helps!
Ms. Silvia earns $3 every time she sells a cupcake. If she earns $15, how many cupcakes did she sell?
Answer:
Okay very easy, The answer is: She sold 5 cupcakes.
Step-by-step explanation:
She sold 5 cupcakes
Because if you add 3 till you get to 15 you get 5