A manufacturer claims that the mean lifetime of its lithium batteries is 1200 hours. A homeowner selects 25 of these batteries and finds the mean lifetime to be 1180 hours with a standard deviation of 80 hours. Test the manufacturer's claim. Use ΅ = 0.05. Round the test statistic to the nearest thousandth.
Answer:
Since p is > α we fail to reject the Null as the result is not significant at α = 0.05
Step-by-step explanation:
Given that:
Mean lifetime (m) = 1200
Sample size (n) = 25
Sample mean (x) = 1180
Standard deviation (s) = 80
α = 0.05
The null hypothesis :
H0 : m = 1200
Alternative hypothesis : m ≠1200
The t statistic :
(x - m) / (s/√n)
(1180 - 1200) / (80 / √25)
-20 / (80/5)
= - 1.250
P value = 0.10565 ( p value calculator)
Reject Null hypothesis if p > α
At α = 0.05
Since p is > α we fail to reject the Null as the result is not significant at α = 0.05
What is the slope-intercept equation for the line below?
(5, 4)
(0, 2)
Answer:
=
2/5x +2
Step-by-step explanation:
let me know if im wrong
hope it helps :)
Answer:
A. y=2/5x +2
step-by-step explanation:
hope this helped :-)
Classify each function as linear or nonlinear.
Step-by-step explanation:
Linear:
4x - y = 3
-6x = 3y - 17
x = y/5
non linear:
(x/2)^2 + 1 = y
y/x^2 = 4
2x^2 = 12 - 8y
What is 70% of 900
Pls answer quickly
Answer:
630Step-by-step explanation:
10% of 900 is 90 (900÷10)
20% of 900 is 180 (90×2) - basically the 10% times 2
50% of 900 is 450 (900÷2)
450+180=630 - the sum of the 20% and 50%
Which is the function represented by the table ?
Answer:
its b
Step-by-step explanation:
If 8 is an element in the domain of f(x)=
8x−18
5, what is the corresponding element in the range?
In Functions and Function Notation, we were introduced to the concepts of domain and range. In this section, we will practice determining domains and ranges for specific functions. Keep in mind that, in determining domains and ranges, we need to consider what is physically possible or meaningful in real-world examples, such as tickets sales and year in the horror movie example above. We also need to consider what is mathematically permitted. For example, we cannot include any input value that leads us to take an even root of a negative number if the domain and range consist of real numbers. Or in a function expressed as a formula, we cannot include any input value in the domain that would lead us to divide by 0.
Find the slope of the line passing through the points (-2, 8) and (3,8).
Please help!!
Answer:
y=8
Step-by-step explanation:
(-2,8) (3,8)
x,y. x,y
y2-y1/X2-X1=
8-(8)= 0
3-(-2)= 5
since the two points have 8 in the Y space the line would be equal to y= 8
If y is directly proportional with x and y=24 when x=6. What is the value of x when y=16
Answer:
x = 4
Step-by-step explanation:
Given y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition y = 24 when x = 6 , then
24 = 6k ( divide both sides by 6 )
4 = k
y = 4x ← equation of proportion
When y = 16, then
16 = 4x ( divide both sides by 4 )
4 = x
What is the quotient of -3/8 And -1/3?
Answer:
[tex]\frac{9}{8}[/tex]
Step-by-step explanation:
Lets look at this in a more simple way!
[tex]-\frac{3}{8}[/tex] ÷ [tex]-\frac{1}{3}[/tex]
Now we can convert division into multiplication and flip the 1 and 3 numbers (in the fraction "[tex]-\frac{1}{3}[/tex]") all the way around and switch their roles as dividend and divisor:
[tex]-\frac{3}{8}[/tex] × [tex]-\frac {3} {1}[/tex]
Now multiply
[tex]\frac{9}{8}[/tex]
And THAT is your quotient of [tex]-\frac{3}{8}[/tex] ÷ [tex]-\frac{1}{3}[/tex].
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
What is the weight of 2 apples? *
.12
.24
16.67
8.33
Answer:
0.24
Step-by-step explanation:
Have a wonderful day <3
how do u solve this
Write the first four terms of sequence Rule:start at 28.6, subtract 3.1
28.6, 25.5, 22.4, 19.3... hope this helps!!
PLA HELP ME 100 POINTS FOR TO ANSWER
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the
function?
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair or
the line. Draw a line through the two points.
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on
the line. Draw a line through the two points.
O Locate the ordered pair (-6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on
the line. Draw a line through the two points.
O Locate the ordered pair (-6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on
the line. Draw a line through the two points.
Answer: A
Step-by-step explanation: e2020
Answer:
one
Step-by-step explanation:
Abbas is two years younger than Brad. Two years ago, the sum of their ages was the same as Brad's current age. How old are the boys now?
Answer:
I believe they are younger
Step-by-step explanation:
I hope this helps
A banner needs to be enlarged from its original format. The dimensions of the original are 4 cm tall by 25 cm wide.The enlarged banner needs to be at least 8 cm wide but no more than 1.4 m tall. Calculate the minimum and maximum ratios of enlargement possible.
Please help me it’s emergency please
Bdbdjekdmfmfmfkfmf help
Answer:
Green box: 9
Step-by-step explanation:
7/7 x 9/10
1 x 9/10 = 9/10
a nursery owner buys 9 panes of glass to fix some damage to his greenhouse the 9 panes cost 19.35 unfortunately he breaks 4 more panes while repairing the garage. what is the cost of another 4 panes?
abel has $10. he buys a hotdogs for $2,and then he buys 5 bags of chips. if he has no money left, what was the cost of each bag
Answer:
$1.6
Step-by-step explanation:
do 10-2 then you do 8 dived by 5
Answer:
The cost of each bag is $1.6 according to my calculations.
Step-by-step explanation:
Solve the system of equations:
3x-3y = -15
and
-x+y = 5
Answer:
x=0 y=5
trust me I think its right
25 points
Write an equation in slope intercept form
(-3,0) (2,1)
Answer:
y = 1/5x + 3/5
Step-by-step explanation:
Find the total surface area of this cone,
Round to the nearest tenth.
6cm
4cm
[?] cm2
Answer:
125.7cm²
Step-by-step explanation:
Given parameters:
Slant height, L = 6cm
Base radius = 4cm
Unknown:
Total surface area = ?
Solution:
To find the total surface area, we use the expression;
Surface area = [tex]\pi[/tex]r² + [tex]\pi[/tex]rL
Now insert the parameters and solve
Surface area = [tex]\pi[/tex]r(r + L )
Surface area = [tex]\pi[/tex] x 4 (4 + 6) = 3.142 x 4 x 10 = 125.7cm²
Which graph represents a proportional relationship?
Answer:
If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.
please help please answer surely please
Answer:
C. 48 m
Step-by-step explanation:
The two vertical sides add up to be (8*2) m = 16m.
The two horizontal sides can be added up to (14*2) m = 28m.
(The top horizontal side can be found by pushing the line in the middle up to the level of the other two portions of the same side.)
Finally, add the leftover two sides (2*2) m = 4m.
16+28+4 = 48.
Hope this helped!
Answer:
C-48
Step-by-step explanation:
hi , you need to fill in the blanks and then add them all together
Please help meeeeeeee
if f(x)=3x-1 find f(2)
pls show steps I rlly need to understand this!
Find the remaining zeros of f using the given information about the polynomial.
Then write the linear factorization of the polynomial. Degree 4;
zeros: 3i, square root {7}
Answer:
noloce necesito puntos
A. What is the area of square ABCD?
B. What is the area of square EFGH?
C. What is the area of the unshaded region of ABCD.
NEED HELP!!!!
Not very good with these kinds of problems
Translate the number equation into a written equation: 2p + 4 = 20
Answer:
p is 8
Step-by-step explanation:
4 - 20
then 2 divided by 16
then you get 8
Answer:11. g. 10. 3g. 12. 2p. 4q. 20 g plus 10 is the same as. Twice p plus 4 times q is 20. 3 times g. 13. 4(a b). 9a. 14. 8.
Step-by-step explanation:
i think thats the answer
A dyadic angle is an angle that is a sum of principle dyadic angles, this is to say that its measure in radians is zero or 2(pi) x (m/(2^n)) for some of the natural numbers m and n. Show that the sum and average of two dyadic angles is again a dyadic angle.
Answer:
attached below
Step-by-step explanation:
A dyadic angle is the sum of two principal dyadic angles
lets assume P and Q to be dyadic angles also assuming that they are non-zero in Radians
attached below is the proof that sum and average of two dyadic angles is a dyadic angle
Answer the question in the picture. Thanks!
Answer:
4+3x=9
Step-by-step explanation:
All of the other choices equal to 4x+12=9 except 4+3x.