Answer:
We have 92 % confidence that the true mean time a student sleeps per night is between (-0.25, 1.61).
Step-by-step explanation:
Compute the sample mean and sample standard deviation as follows:
[tex]\bar x=\frac{1}{n}\sum X=\frac{54.3 }{8}=6.788\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 11.8288}=1.299[/tex]
Since, the sample standard deviation is computed the t-statistics will be used for the confidence interval.
The critical value of t for (n - 1) degrees of freedom and 92% confidence level is:
[tex]t_{\alpha/2, (n-1)}=t_{0.04, 7}=2.046[/tex]
*Use a t-table.
Compute the 92% confidence interval for the true mean time a student sleeps per night as follows:
[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\frac{s}{\sqrt{n}}[/tex]
[tex]=6.788\pm 2.046\times\frac{1.299}{\sqrt{8}}\\\\=6.788\pm 0.9392\\\\=(-0.2504, 1.6080)\\\\\approx (-0.25, 1.61)[/tex]
We have 92 % confidence that the true mean time a student sleeps per night is between (-0.25, 1.61).
ummmmmmmmmmmmmmmmmmmmm so you can just say what box if you dont want to explain i just think its all 3 if them one i figured out was wrong but the others i cant tell and i also suck at math
Answer:
Table (4)
Step-by-step explanation:
If data in the given tables show the proportional relation then they will follow the rule,
y = kx
k = [tex]\frac{y}{x}[/tex]
where 'k' = proportionality constant
From table (1),
k = [tex]\frac{2}{1}[/tex] = 2
k = [tex]\frac{3}{2}=1.5[/tex]
But 2 ≠ 1.5
So the data in the table (1) is not proportional.
Table (2)
k = [tex]\frac{0}{2}=0[/tex]
k = [tex]\frac{2}{4}=0.5[/tex]
Therefore, data in the table is not proportional.
Table (3)
k = [tex]\frac{1}{0}[/tex] = Not defined
k = [tex]\frac{3}{2}=1.5[/tex]
Data is not proportional.
Table (4)
k = [tex]\frac{y}{x}=\frac{-6}{-2}[/tex]
= 3
k = [tex]\frac{3}{1}=3[/tex]
3 = 3
Therefore, data given in table (4) represents the proportional relationship.
Dionna rode her skateboard at a speed of 10 miles per hour. Which statement is correct?
If she covered 2.5 miles, she rode for 0.25 hours.
If she covered 2.5 miles, she rode for 4 hours.
If she covered 4 miles, she rode for 0.25 hours.
If she covered 4 miles, she rode for 4 hours.
Answer:
She covered 2.5 miles, she rode for 0.25 hours.
Step-by-step explanation:
0.25*10=2.5
Jorge is running a race. In 23 of an hour he ran 225 miles. At this rate, what distance will Jorge run in one hour?
Answer:
9.7
Step-by-step explanation:
225 divided by 23 equals 9.7
help!! how do i solve this and what is the answer??
Answer:
Yes you got it right.
Step-by-step explanation:
x= -7/4
x= -1 3/4, x= -1.75
A heating pad takes 5,657 Watts during each time it is turned on. If you only use it for 28 minutes, how much CO2 was created? Round to 1 decimal.
Answer: 2.6 pounds of CO₂
Step-by-step explanation:
1 kilowatt per hour produces 0.99 pounds of C02.
The watts used was;
= (5,657 * 28/60 hours) / 1,000
= 2,639.93333333
In kilowatts;
= 2,639.93333333/1,000
= 2.6399333 kilowatts
CO2 produced;
= 2.6399333 * 0.99
= 2.613533967
= 2.6 pounds of CO2
Which is the graph of f(x) = 2(3)x
simplify the equation
Answer:
The answer is C
Step-by-step explanation:
I say this because you have to simplify and plug in the numbers to get answer choice c
plz help me out if you can
Answer:
D $26
Step-by-step explanation:
What is the measure of ∠C in the figure below
Answer:
C. 56°
Step-by-step explanation:
An isosceles triangle has two sides that are equal. ∆ABC has two equal sides. Thus, the angles opposite the two sides of an isosceles triangle are also congruent to each other.
<C and <A are congruent to each other.
m<A = 56°, therefore,
m<C = 56°
Find the inverse: f(x) = 4 + 4/5 x.
Answer:
f−1(x)=5x4−5
Step-by-step explanation:
To find the inverse, interchange the variables and solve for y.
In a recent survey of 79 heads of household, 46 said they did online banking on their cell phones. Find the standard error for the sample proportion of heads of household who do online banking on their cell phones. Enter your answer as a decimal rounded to three decimal places.
Answer:
[tex]SE_p = 0.055[/tex]
Step-by-step explanation:
Given
[tex]n = 79[/tex] --- Heads
Proportion, p = 46 out of 79
Required
Determine the standard error for sample proportion (SEp)
This is calculated using the following formula
[tex]SE_p = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this case:
[tex]p = \frac{46}{79}[/tex]
[tex]p = 0.5823[/tex]
Substitute values for p and n in:
[tex]SE_p = \sqrt{\frac{p(1-p)}{n}}[/tex]
[tex]SE_p = \sqrt{\frac{0.5823 * (1-0.5823)}{79}}[/tex]
[tex]SE_p = \sqrt{\frac{0.5823 * 0.4177}{79}}[/tex]
[tex]SE_p = \sqrt{\frac{0.24322671}{79}}[/tex]
[tex]SE_p = \sqrt{0.00307881911}[/tex]
[tex]SE_p = 0.0554871076[/tex]
[tex]SE_p = 0.055[/tex] ---- Approximated
Answer this and I will make your day better just watch!!!!
Answer: :) hi! <3
Step-by-step explanation:
The diameter of a cookie is 2 inches. If \piπ = 3.14, what is the area of the cookie, rounded to the nearest tenth?
Answer:
6.28 or 7
Step-by-step explanation:
you have to time pie x inches
pie x inches
3.14 x 2
=6.28 rounded up 7
Irene can snap 48 times in 8 minutes at a constant rate. How many
times can she snap in 9 minutes?
Answer:
54 times in 9 mins.
Step-by-step explanation:
divide 48/8 = 6
6 times 9 = 54
What is the relationship between vectors u = ⟨1, 0⟩ and v = ⟨0, –3⟩?
The vectors form an acute angle of approximately 48°.
The vectors form an acute angle of approximately 71°.
The vectors are orthogonal because the angle between them is 90°.
The vectors form an obtuse angle of approximately 132°.
Answer:
C) The vectors are orthogonal because the angle between them is 90°.
Step-by-step explanation:
got it right on edge :)
The vectors are orthogonal because the angle between them is 90°. Option C is correct.
What exactly is a vector?A vector is a quantity with a magnitude, and direction that follows the law of vector addition.
Given data;
u = ⟨1, 0⟩
v= ⟨0, –3⟩
The angle between the vector is found by the formula as;
[tex]\rm cos \theta = \frac{u,v}{|u||v|} \\\\ cos \theta = \frac{(1 \times 0) + (0 \times -3)}{\sqrt{1^2+(-0^2)+\sqrt{0^2+(-3)^2}}} \\\\ cos \theta = 1 \\\\ \theta = cos^{-1}1\\\\ \theta = 90^0[/tex]
Hence option C is correct.
To learn more about vectors, refer;
https://brainly.com/question/13322477#SPJ2
#SPJ2
Solve the system by substitution. y = 8x + 32 Y= -8x
Solve for the variable 4-14=5x
Answer:
X = 2
Step-by-step explanation:
4-14=5x
10=5x
10/5=5x/5
2=x
Answer: x = -2
Step-by-step explanation:
Let's solve your equation step-by-step.
4−14=5x
Step 1: Simplify both sides of the equation.
4−14=5x
4+−14=5x
(4+−14)=5x
(Combine Like Terms)
−10=5x
−10=5x
Step 2: Flip the equation.
5x=−10
Step 3: Divide both sides by 5.
5x/5=−10/5
x=−2
What is the unit price of 12 gallons of gasoline that costs $39.48 ?
The unit price of 12 gallons of gasoline that costs $39.48 is $3.29 per gallon
How to determine the unit price?The given parameters are:
Gallons = 12
Cost = $39.48
The unit price is calculated as:
Unit = Cost/Gallon
So, we have:
Unit = $39.48/12
Divide
Unit = $3.29
Hence, the unit price of 12 gallons of gasoline that costs $39.48 is $3.29 per gallon
Read more about unit rates at:
https://brainly.com/question/19493296
#SPJ1
what number is 386 more than the sum of 345 and 425
What is the slope of a line represented by 3x-14y=28
Answer:
3/14
Step-by-step explanation:
3x-14y=28
solve
add -3 both sides
3x−14y+−3x=28+−3x
−14y=−3x+28
divide both sides by -14
y= 3 /14 x−2
y=mx+b
so 3/14 is the slope
The perimeter of a triangle is
17
x
−
5
units. One side is
3
x
+
5
units and another is
8
x
−
3
units. How many units long is the third side?
Answer:
i did'nt understand the question
Step-by-step explanation:
sorry
y=4x+1
y=-3/4 |x|
how do i graph these equations (separate problems)?
Can someone please help me with this question
Answer:
Eat some mc donolds then ur good
Step-by-step explanation:
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(03.06a LC) How many solutions does the equation 4x + 8 = -2 - 2 + 5x have? (5 points)
Two
One
None
Infinitely many
Answer:
1 x=12
Step-by-step explanation:
combine -2 ans -2 then add -8 the subtract 5 from 4 and divde 1 from each side
A class of 25 students includes 12 boys. Does the ratio of
girls to students represent a fraction? Does the ratio of
boys to girls represent a fraction? How do you know?
Answer- The ratio of girls to students represents a fraction because it is a part- to-whole comparison. The ratio of boys to girl is not a fraction because it is part-to-part.
Answer:
Step-by-step explanation:
Sample Response: The ratio of girls to students represents a fraction because it is a part-to-whole comparison. The ratio of boys to girls is not a fraction because it is a part-to-part comparison.
There are 3 directors, 4 management executives, 2 statisticians and 1 administrator. A committee of 4 members among them is to be formed. Find the probability that the committee consists of i) one of each kind III) one administrator and the other three III) at least one director
I need this answer Help me?
Answer:
1) 4/35
2) 11/14
3) 5/6
Step-by-step explanation:
First find the number of selections possible.
[tex]\frac{10!}{(10-4)!4!} = 210[/tex]
There are 210 possible selections. Now we can determine the possibility for each group. For the first probability, since we only want one member from each committee, you would create a fraction by (group members in total / group member being extracted). For this instance, since its only one, we will do whole numbers. Multiply each other.
[tex]4*3*2*1=24[/tex]
The probability for each member to get selected from each kind is : [tex]24/210[/tex] or can be simplified to [tex]4/35[/tex].
The probability of (I assume) at least one administrator is slightly different. Separate our two selections, the other three and the administrator. Find the number of selections possible for the other three... 4+3+2 = 9 others.
Find the probability for both a administrator included and three others.
[tex]\frac{11}{3} * \frac{1}{1} \\\frac{11!}{(11-3)!3!} \\\\165[/tex]
[tex]\frac{165}{210} = \frac{11}{14}[/tex]
The probability for an administrator and the other three is 165/210 or 11/14.
For the last one, you will figure out what the probability is for no director and use that % to substract from 100.
4+2+1 = 7
Get selections possible.
[tex]\frac{7!}{(7-4)!4!} = 35[/tex]
Get probability of no director.
[tex]\frac{35}{210} = \frac{1}{6}[/tex]
Substract 1/6 from 100%
1 - 1/6 = 5/6
The probability of having at least one director is 5/6.
Over 10 days it snowed 80 inches, how much did it snow in 1 day?
Answer:
8
Step-by-step explanation:
Answer:
0.125
Step-by-step explanation:
Jacob walks 1.250 meters to school every day. How many kilometers does Jacob walk in one week?
HELP ASAP
Answer:
ways and answer are in paper
^^^^^^^
Which polynomial is in standard form?
N
O 26x5 + 12x7-8x3 + 6x
O 3x5 +x-6x2 + 5
11x5-6x2-9x+12
5x2 + 18x3 - 12x4 +4x7
Answer:
i am pretty sure it is D
Step-by-step explanation:
Answer:
Its C.) 11x^5 - 6x^2 - 9x + 12
Step-by-step explanation:
ejenuwitee
=D
=P
Which of the sets of ordered pairs represents a function? (4 points)
A = {(-5,5), (-2, 2), (2, -2), (5, -5)}
B = {(4,2), (3,-2), (9,4), (11, -3)}
Only A
Only B
Ο Ο Ο
Both A and B
Neither A nor B
Answer:
A if i'm not mistaking
Step-by-step explanation: