Answer:
Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48
Standard deviation = √(summation(x - mean)²/n
n = 6
Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484
Standard deviation = √(0.1484/6
s = 0.16
Standard error = s/√n = 0.16/√6 = 0.065
Part B
Confidence interval is written as sample mean ± margin of error
Margin of error = z × s/√n
Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5
Therefore, z = 3.365
Margin of error = 3.365 × 0.16/√6 = 0.22
Confidence interval is 2.48 ± 0.22
Part C
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ = 2.3
For the alternative hypothesis,
H1: µ > 2.3
This is a right tailed test
Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.
Since n = 6
Degrees of freedom, df = n - 1 = 6 - 1 = 5
t = (x - µ)/(s/√n)
Where
x = sample mean = 2.48
µ = population mean = 2.3
s = samples standard deviation = 0.16
t = (2.48 - 2.3)/(0.16/√6) = 2.76
We would determine the p value using the t test calculator. It becomes
p = 0.02
Assuming significance level, alpha = 0.05.
Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.
Step-by-step explanation:
please help.. don't get it
A building has three elevators. Each elevator is out of order 10% of the time.
The following set of random numbers represents 20 simulations of the
elevators, with 0 representing a broken elevator and 1,2,3,4,5,6,7,8, and 9
representing a working elevator. In how many of the simulations were all
three elevators working?
Answer:18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
I NEED HELP! I HAVE A TEST TOMORROW AND I NEVER PAYED ATTENTION!!! Whats the variable next to the number?? Like 2c or 6y
Answer:
It means you multiply the number by that variable.
Step-by-step explanation:
This is used to shorten the equation with a variable. For example, 2c means 2 times c. 6y means 6 times y.
plz help i have been asking this question way too much
Answer:
10/3 or 3 1/3
Step-by-step explanation:
how much simple interest is accumulated if you deposit $100 in the bank at 5% interest for 15 years
Answer:
You will make 75 dollars.
Step-by-step explanation:
5% of 100 is 5. Multiply 5 by 15 to get 75.
Betsy's high school is putting on a production of a play as a fundraiser for the school's music programs. A local bank has agreed to allow the school to use a line of credit from which they can withdraw money to pay for the play. Then, any deposits they make at the bank will be applied to the negative balance of the credit account.
The play cost $3,200.00 to produce, and they intend to sell tickets for $10 each. After the play, Betsy will take the ticket proceeds and deposit them with the bank. If 1,007 people attend the play's opening night, what will the balance of the bank account be?
A.
- $3,099
B.
$10,070
C.
$13,270
D.
$6,870
Answer:
10070//B
Step-by-step explanation:hope this helps <3
As Soon As Possible! (please)
Each day a supernatural termite can eat 35% more wood grains that it did the day before. If a 20-day old termite has eaten 97,231 grains of wood, how many wood grains (to the nearest grain) will it eat on the 22nd day?
A) 84 grains
B) 130,745 grains
C) 176,589 grains
D) 235,768 grains
What is the surface area
Answer:
1190 mm²Step-by-step explanation:
The surface area of a prism is a sum of areas of all of its faces
2×(¹/₂×16×15) + 2×(17×19) + 16×19 =
= 240 + 646 + 304 = 1190 mm²
The number of miles a car travels varies directly with the number of gallons of gas in its tank of a car with 20 gallons of gas can drive 560 miles which equation represents the number of miles an
Answer:
28 miles per gallon
560/20=28
Step-by-step explanation:
Plz give me brainliest
Number of miles a car travels are 28.
What is division?The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.
Number of gallons of gas = 20
A car with 20 gallons of gas can drive 560 miles
Based on the given conditions,
= [tex]\frac{560}{20}[/tex]
= 28
Hence, number of miles are 28.
Find out more information about division here
https://brainly.com/question/10850080
#SPJ2
Can anyone help with this problem??
Answer:
blue line : y = 3
black horizontal line : y = 0
black vertical line : x = 0
Step-by-step explanation:
it is really simple.
blue line : no matter what value we pick for x, the functional value for y is always 3. and that defines the equation y = 3 + 0*x or simply y = 3.
the same with the black horizontal line. the difference is that y is now always 0. so, y = 0.
Some for all values of x by factoring
Answer:
{-1, 10}
Step-by-step explanation:
Next time please share the entire set of instrutions.
x^2 - 9x - 15 = -5 should be rewritten in standard quadratic form:
x^2 - 9x - 10 = 0 = (x - 10)(x + 1) = 0.
Setting each factor equal to zero and then solving for x yields {-1, 10}
Answer:
{-1,10}
Step-by-step explanation:
[tex]x^2-9x-15=-5[/tex] given
[tex]x^2-9x-10=0[/tex] addition property of equality
[tex]x^2+(x-10x)-10=x^2+x-10x-10=0[/tex] x-10x = -9x
[tex]x(x+1)-10(x+1)=0[/tex] distributive property ( x( y + z ) = xy + xz
[tex](x-10)(x+1)=0[/tex] distributive property (backwards)
[tex]x-10=0;x=10;x+1=0;x=-1[/tex] at least one factor of 0 has to be 0
{-1,10}
Please help me find the mean and the range.
mean: 5.5 hours
range: 7.9 hours
Which is the inverse of the difference of 1/3 - 1/4? A. 0/1
B. 1/12
C. 7/12
D.12/1
Please Help
Answer:
12/1
Step-by-step explanation:
A clothing store donated a percent of every sale to charity. The total sales were $8850, so the store donated $531 what percent of $8850 was donated to charity?
Answer:
6%
Step-by-step explanation:
[tex]\frac{531}{8850} *\frac{x}{100} \\531*100= 5310053100/8850= 6%[/tex]
Help out
Sishsbnxbxbxxnxj
Answer:
y=-6/5x -8
Step-by-step explanation:
slope is the same as gradient(m) so find the c in the equation y=mx+c using the point (-5,-2) which gives u -8 then substitute values of m and c in that very equation
Answer:
[tex]y=-\frac{6}{5}x-8[/tex]
Step-by-step explanation:
Same process as the other two lol
y= -(6/5)x+b
solve for b by plugging in the required coordinates
-2= -(6/5)(-5)+b
-2= 6+b
-8=b
put it all together
Marulla's z score on a college entrance exam is 1.3. If the raw scores have a mean of 480 and a standard deviation of 70 points, what is her raw score?
Answer:
571
Step-by-step explanation:
We solve using z score.
z = (x-μ)/σ, where
x is the raw score = ?
μ is the population mean = 480
σ is the population standard deviation = 70
z = 1.3
Hence,
= 1.3 = x - 480/70
Cross Mulitiply
1.3 × 70 = x - 480
91 = x - 480
x = 480 + 91
x = 571
Therefore, Marulla's raw score is 571
Five boys each have 8 marbles. If all
their marbles are collected and placed
into
8heaps, how many marbles will there be in each jeap ?
5 marbles.
We first need to find how many marbles we have in total.
8 marbles * 5 boys = 40 marbles.
These 40 marbles will now be divided by 8, since we are taking the total amount of marbles we have and separating them into 8 different piles.
40/8 = 5
There will be 5 marbles in each heap.
What is the product of 3x(x2 +
+4)?
O x2 + 3x + 4
3x3 + 4
3x3 + 12x
0 3x² + 12x
Answer:
The answer is C
Step-by-step explanation:
Given
mZLON is a straight angle.
MZLOM = 4x + 30°
mZMON = 8x + 90°
Find mZMON:
Help pls
Step-by-step explanation:
these are supplementary angles
LOM + MON = 180
(4x + 30) + 8x + 90 = 180
12x + 120 = 180
solve for x and then substitute into 8x +90
While flipping a weighted coin, Latrell gets 4 heads and 2 tails. Based on experimental probability, how many of the next 3 flips should Latrell expect to come up heads?
Answer: 2 heads
Step-by-step explanation:
First, write the experimental probability as a fraction in simplest form.
P(heads)
=
heads
total
=
heads
heads+tails
=
4
4+2
=
4
6
=
2
3
The experimental probability is
2
3
.
We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.
2
3
=
n
3
2
3
(33)
=
n
3
(33) Multiply both sides by (33)
23
= 3n Simplify
6
= 3n Simplify
2
= n Divide both sides by 3
Based on experimental probability, Latrell should expect 2 of the next 3 flips to come up heads.
Questions
answered
16
Time
elapsed
00 22 05
HR MIN SEC
SmartScore out of 100
44
Need a break?
Can somebody help me with writing a real-life problem on this subject Finding angle measures of a right or isosceles triangle given angles with variables thank you?
Answer:
See Explanation
Step-by-step explanation:
See attachment for illustration
(a) Right triangle
The sum of [tex]angles[/tex] in a [tex]right[/tex] [tex]triangle[/tex]is:
[tex]x + y + 90 = 180[/tex]
Subtract 90 from bot sides
[tex]x + y = 90[/tex]
Make x the subject
[tex]x = 90 - y[/tex]
Make y the subject
[tex]y = 90 - x[/tex]
This implies that, subtract the known angle from 90 to get the unknown angle.
Assume [tex]x = 40[/tex]
We make use of: [tex]y = 90 - x[/tex]
[tex]y = 90 - 40 = 50[/tex]
(b) Isosceles triangle
The sum of angles in an isosceles triangle is:
[tex]x + y + y = 180[/tex] ---- y appear twice because the base angles are equal
[tex]x + 2y = 180[/tex]
Make x the subject
[tex]x = 180 - 2y[/tex]
Make y the subject
[tex]y = \frac{180 - x}{2}[/tex]
Assume [tex]x = 40[/tex], we make use of:
[tex]y = \frac{180 - x}{2}[/tex]
[tex]y = \frac{180 - 40}{2}[/tex]
[tex]y = \frac{140}{2}[/tex]
[tex]y = 70[/tex]
Assume [tex]y = 70[/tex], we make use of:
[tex]x = 180 - 2y[/tex]
[tex]x = 180 - 2 * 70[/tex]
[tex]x = 180 - 140[/tex]
[tex]x = 40[/tex]
please help me
no links please and thank you :)
Please I need help asapppp!
Answer:
-525 it is now 525 below sea level
Step-by-step explanation:
I'm kinda confused the question is weird to me so I don't know if this is right
Add t to 2 then add 4 to the result
Answer:
1. 2+t= 2t
2. 2t+4= 2t+4
PLZ HELP I BEGG!! 100 POINTS AND BRANLIEST
Answer:
Vertical angles are opposite angles that are formed from two intersecting lines. From this, the vertical angle to 3 is 5
Answer:
Step-by-step explanation:
<3 is a right angle so its opposite angle is vertical to it. The answer is <5.
Isaac saw a video game on sale for a 25% discount. The amount of discount is $4. What is the regular price of the video game
Answer:
The original price was $16
Step-by-step explanation:
$4= 25% of What price?
4= .25 x W
Divide both sides by .25
This leaves the equation as 16=W
Francis earned the following scores on his math quizzes: 86, 84, 90. Jillian earned the following scores on her math quizzes: 84, 90, 86. Who earned a greater total score? Which addition property can you use to find the answer?
It's due in 5 minutes please help
Jillian and Francis both earned the same total score. I used commutative property of addition to find the answer.
Francis: 86, 84, 90 ---> 84,86,90
Jillian: 84, 90,86---> 84,86,90
I hope this helps, have a great day!
The sum of a triangle's sides is
34.5 cm. The shortest side is
7.5 cm and the middle-length
side is 3 cm longer than the
shortest side. Find the length
of the third side and classify
this triangle by the lengths of
its sides.
Step-by-step explanation:
Therefore the third side should be less than 12+15 = 27cm
And also the third side cannot be less than the difference of the two sides
Therefore, the third has to be more than 15-12 = 3cm
Thus, the third side could be the length more than 3cm and less than 27cm.
EASY MATH PLEASE HELP!! : ) : )
NO LINKS PLEASE
EXPLANATION REQUIRED
A new school is ordering math textbooks. They are 3/4 of an inch thick. How many of these books will fit into a bookshelf that is 2 feet long?
A) 2 books
B) 12 books
C) 26 books
D) 32 books
Answer:
32 Books
Step-by-step explanation:
You know that the bookshelf is 2 feet long, and you know the book is 3/4 inches thick. To start you have to get a common measurement in this case we will use inches. You already know that 1 foot is 12 inches so 2 feet will be 24 inches. Next all you do is divide the 24 inches by 3/4 inches. This will give you 32 which is the total amount of books that can fit on the bookshelf.
help mee asappp plsssss