Olivia works at a company that creates mobile phones. She wanted to estimate the mean amount of time their new phone's battery lasts with regular use after a full charge. She took a random sample of 6 of these phones and randomly assigned each of them to a volunteer. She instructed them to fully charge the phones and use them as they regularly would until the battery died (without recharging the phone). Here are the data they reported:
Assume that all conditions for inference are met.
Which of the following is a 90% confidence interval for the mean battery life (in hours)?
Answer:
9+- 1.7
Step-by-step explanation:
Kahn
The required possible 90% confidence interval for the mean battery life is (10.95, 19.05) hours.
What is Statistic?Statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
Assuming that the sample means and sample standard deviation were calculated from the data, a possible 90% confidence interval for the population means battery life can be calculated using the t-distribution.
For example, if the sample mean is 15 hours and the sample standard deviation is 3 hours, with a sample size of 6 and a 90% confidence level, the t-interval would be:
t-interval = sample mean ± t*(sample standard deviation / √(sample size))
where t is the t-value with (sample size - 1) degrees of freedom and a 90% confidence level.
Using a t-table, the t-value for 5 degrees of freedom and a 90% confidence level is approximately 2.571. Plugging in the values, we get:
t-interval = 15 ± 2.571*(3 / √(6))
t-interval ≈ (10.95, 19.05)
Therefore, a possible 90% confidence interval for the mean battery life is (10.95, 19.05) hours.
Learn more about Statistics here: https://brainly.com/question/23091366
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Solve this equation: –2(x + 16) = –20 *
Answer:
[tex]{\huge\purple{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]
[tex] - 2(x + 16) = - 20 \\ - 2x + 16 \times - 2 = - 20 \\ - 2x - 32 = - 20 \\ - 2x = - 20 + 32 \\ - 2x = 12 \\ x = \frac{12}{ - 2} \\ x = \frac{ - 12}{2} \\ x = - 6[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
Answer:
"solve this equation: - 2 (x+16)= - 20
Step-by-step explanation:
- 2x 16 + - 2 = - 20
- 2x - 32 = - 20
- 2x = - 20 + 32
x = - 12 :2
x = - 6
Solve using substitution
–3x + y = –12
5x − 2y = 17
PLZ HELP Will give brainlist to whoever answers first
Answer:
x=7, y=9. (7, 9).
Step-by-step explanation:
-3x+y=-12
5x-2y=17
---------------
y=-12-(-3x)
y=-12+3x
y=3x-12
5x-2(3x-12)=17
5x-6x+24=17
-x+24=17
-x=17-24
-x=-7
x=7
y=3(7)-12
y=21-12
y=9
please help!!!! I will mark brainlest
Amanda has $227 worth of bills in her purse. She has six more $5 bills than $10 bills. The number of $1 bills is three fewer than 25 times the number of $10 bills. How many bills of each kind does Amanda have?
Answer:
There are six $5 bills and nine $10 bills
Step-by-step explanation:
x= $5 bills
y= $10 bills
x+y=15
5x+10y=120
5x+10(15-x)=120
5x+150-10x=120
-5x= -30
x=6 so y=9
Answer:
$10 = 5 $5 = 11 $1 = 122
Step-by-step explanation:
5 x 10 = 50
5 x 11 = 55
1 x 122 = 122
50 + 55 + 122 =
227
Hope this helps!
Find the area of a vertical cross section through the centers of the bases of a cylinder with a height of 24 inches and a circumference of about 43.96 inches. Use 3.14 for π.
brainliest for who gets it right
Answer:
Step-by-step explanation:
Answer:
405 in^2
Step-by-step explanation:
Given data
Height= 27in
Circumference= 47.1 in
let us find the radius and the diameter of the base of the cylinder
from
C=2πr
47.1= 2*3.142*r
47.1= 6.284r
r= 47.1/6.284
r= 7.5 in
Diameter= 2r
D= 7.5*2
D= 15in
Hence the area of the cross-section
=H*D
=27*15
=405 in^2
15.
Find the slope of the line.
A. -3/4
B. 3/4
C. 4/3
D. -4/3
Answer:
C. 4/3
Step-by-step explanation:
Which equation, when graphed would appear narrower than the graph of y= 3x2 + 5
Answer:
y = 4x^2 + 5 has the narrowest graph.
Step-by-step explanation:
The larger the coefficient of x^2 is, the narrower the graph will be. Thus:
y = 4x^2 + 5 has the narrowest graph.
does anyone know the answer to this? REPLY QUICKLY PLZ
Answer:
I believe you multiply 18 and 6 so most likely your answer is 108 because 18 x 6 is 108
hii please help i’ll give brainliest
the mean, median and interquartile range
Simplify (-1+5i)(-3+2i)
Answer:
-7-17i
Step-by-step explanation:
Answer:
-7-17i
Step-by-step explanation:
See image below:)
Wow! Burt is amazing! He typed up eight reports in three hours. At this rate, how long will it take him to type the 40 reports waiting on his desk? Show your work, justifying your answer
Please help me fasstly
Answer:
15 hours
Step-by-step explanation:
since 8 reports took him 3 hrs
8+8+8+8+8=60
3+3+3+3+3=15
Line KJ represents a proportional relationship. Point K lies at (12,14) as shown on the graph below.
Which ordered pair could represent the coordinates of point J?
Given:
Line KJ represents a proportional relationship.
Point K lies at (12,14).
To find:
The ordered pair of the coordinates of point J.
Solution:
If y is proportional to x, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
[tex]\dfrac{y}{x}=k[/tex]
Where, k is the constant of proportionality.
It means, the ratios of y to x for all the point in a proportional relationship are same.
Line KJ represents a proportional relationship. Point K lies at (12,14).
So, the constant of proportionality is:
[tex]k=\dfrac{14}{12}[/tex]
[tex]k=\dfrac{7}{6}[/tex]
Similarly, find the ratio of y to x for all given points.
In option a,
[tex]\dfrac{3.5}{3}=\dfrac{3.5\times 2}{3\times 2}[/tex]
[tex]\dfrac{3.5}{3}=\dfrac{7}{6}[/tex]
In option b,
[tex]\dfrac{15}{17.5}=\dfrac{15\times 2}{17.5\times 2}[/tex]
[tex]\dfrac{15}{17.5}=\dfrac{30}{35}[/tex]
[tex]\dfrac{15}{17.5}=\dfrac{6}{7}[/tex]
In option c,
[tex]\dfrac{0}{2}=0[/tex]
In option d,
[tex]\dfrac{3}{3.5}=\dfrac{3\times 2}{3.5\times 2}[/tex]
[tex]\dfrac{3}{3.5}=\dfrac{6}{7}[/tex]
The ratio of y to x of point (3,3.5) is equal to the ratio of given point K(12,14). So, the coordinates of point J are (3,3.5).
Therefore, the correct option is A.
What are the coordinates of the point halfway between (- 1, 4) and (5, 4)
Answer:
(2,4)
Step-by-step explanation:
Find the area. Simplify your answer.
Answer:
(3x^2) - 8x
Step-by-step explanation:
A = length x width
A = x(3x-8) *Distribute*
A = (3x^2) - 8x
I need help I don’t understand it
PLEASE HELP ME WITH THIS!!!
Answer:
I think h is 20 I am not sure
A bagel shop sold 8 plain bagels and 13 rye bagels. What is the ratio of the number of rye bagels to the number of plain bagels sold?
Answer:
B
Step-by-step explanation:
since rye bagels come first after plain bagels, rye bagel is 13 & plain bagel is 8 so 13:8 is the answer!
Plz help will give brainliest!
Answer:
#162°+ m∠1 + m∠2 = 180° (straight angle)m∠1 + m∠2 = 118°2x + 8 + 3x = 1185x = 110x = 22m∠1 = 2*22 + 8 = 52°m∠2 = 3*22 = 66°Correct choice is B#2Side of the square:
a = 2*12 = 24 ftArea of the square:
A = a² = 24² = 576 ft²Radius of each circle:
r = 12/2 = 6 ftArea of each circle:
A = πr² = 3.14*6² = 113.04 ft²Area of all circles:
113.04*4 = 452.16 ft²Area of shaded region:
576 - 452.16 = 123.84 ft²Correct choice is BI need some help on this
Answer:
B
Step-by-step explanation:
that's just what I got, I apologize if it's wrong!
Answer:
It's D. 90ft squared
Step-by-step explanation:
The equation for the surface area of an rectangular prism is 2(lw+lh+wh)
l=length
w= width
h=height
I REALLY NEED HELP WITH THIS QUESTION WITH STEPS
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answer:
-2
Step-by-step explanation:
I think this was the question you were talking about.
Which of the following could be true if y ≤ -75?
y = 75
y = -74
y > -75
y = -75
Answer:-74
Step-by-step explanation: When you are in the megatives, less is more! So -74 is actually greater then -75
There is a triangle with sides measuring 30in, 30in and 25in. Is this a right triangle? Why or why not?
Answer:
No. In order to be a right triangle, the lengths of the 2 smaller sides must equal the length of the longest side.
In other words, these 3 sides must work with the Pythagorean theorem.
A^2 + B^2 = C^2
25^2 + 30^2 is NOT 30^2
This is a triangle, just not a right triangle.
Solve for x.
5 yd
3 yd
w
X
Show Your Work HELPPPP PLZ
Answer:
4yards
Step-by-step explanation:
[tex] \rm \mapsto \: {5}^{2} = {3}^{2} + {x}^{2} \\ \rm \mapsto \: 25 = 9 + {x}^{2} \\ \rm \mapsto \: {x}^{2} = 25 - 9 \\ \rm \mapsto \: {x}^{2} = 16 \\ \rm \mapsto \: x = \sqrt{16} \\ \rm \mapsto \: x = 4yards[/tex]
Simplify the following expression: (35 + 24 )/(22 + 31 )
Answer:
1.11
Step-by-step explanation:
35 + 24 = 59
22 + 31 = 53
59 ÷ 53 ≈ 1.11
Have a good day :)
NEED HELP QUICK NO LINKS PLEASE!
What is the greatest common factor (GCF) of 36x²y and 14x²y²?
Answer Options
1. xy
2. 2xy
3. 4x²y
4. 2x²y
Answer:
3. 4x^2y
Step-by-step explanation:
The GCF of 36 and 14 is 4.
The GCF of x^2y and x^2y^2 is x^2y
Multiply the two GCF and you get 4x^2y
Find the area of a circle with a diameter of 8 cm. Use 3.24 for n. Round your answer to the nearest hundredth
Answer:
half of 8 is 4
so 4 is your radius
4^4 = 16
16 x 3.14 = 50.24 in2 is your area.
can anyone help me get this correct answers only please and thanks
Answer:
8
Step-by-step explanation:
[tex]\frac{18}{36} = \frac{x}{16}[/tex] x = 8
Last year, Nicholas started babysitting to earn extra spending money. Over the summer, he
tracked how much money he earned at each babysitting job. This box plot shows the results.
Babysitting earnings ($)
What percent of the time did Nicholas earn $25 or less?
Answer:
25%
Step-by-step explanation:
From the boxplot Given, an earning of $25 or less is represented on the boxplot as the lower quartile of the distribution which is the point at the start of the box. The lower quartile value is the percentage value up to 25% that is the first 25% of the distribution.
Hence, the percentage required = 25%
Hence, Nicholas earned $25 or less about 25% of the time.