Answer:
The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 27 - 1 = 26
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0518
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
In this question:
[tex]n = 27, s = 21.4[/tex]. So
[tex]M = 2.0518\frac{21.4}{\sqrt{27}}[/tex]
[tex]M = 8.45[/tex]
The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.
Add. (−5x4+6x2−43)+(6x4−x2+12x+12) Express the answer in standard form. Enter your answer in the box.
Answer:
x^2+12x-15
Step-by-step explanation:
Answer:
Step-by-step explanation:
(-5x4+6x2-43)+(6x4-x2+12x+12)
(x4+5x2+12x-31)
Find the lateral area for the cylinder with the given measurement.
r= 4, h=5
20 pi square units
40 pi square units
80 pi square units
Answer:
Lateral area of a cylinder =2πrh
=2π x 4x 5
=40π square units
OPTION B
One angle in an isosceles triangle measures 50°. Which of these cannot be the measure of an angle in this triangle? A 50 C 80% D130
Answer:
In an isosceles triangle, 2 of the angles are identical
Sum of the 3 angles of a triangle is always 180
Possibility 1 - 50 is one of the 2 identical angles
The 3 angles will be 50, 50, (180-50-50)
Possibility 2 - 50 is not one of the 2 identical angles
The 3 angles will be 50, (180-50)/2, (180-50)/2
You can work out the above and see which answer is not the possible angle
Please let me know if you have further questions.
Answer:
D
Step-by-step explanation:
In an isosceles triangle two angles are equal to each other, single two sides are congruent. Since the sides of a triangle add up to 180, we can figure out possible answers. This means it could either be
50, 50 and 80
Or 50, 65, 65
Which means the impossible measure would be D 130.
The mean of five numbers in a set is 12. If the set contains a total of six numbers and the mean of all six is
14, which of the following is the sixth number?
(1) 24
(3) 32
(2) 13
(4) 18
=========================================================
Explanation:
The process of finding the arithmetic mean involves two steps
add up all the numbersdivide by n, which is the number of values in the setThe first bit of info your teacher gave you is "the mean of five numbers in a set is 12". While we don't know the actual individual values themselves, we know that they must add to some variable y. Dividing y over n gets us the mean
y/n = mean
y/5 = 12
y = 5*12
y = 60
The five values add to 60.
----------
The next bit of info is that "the mean of all six is 14". That allows us to say:
(sum of all 6 values)/6 = mean
(sum of all 6 values)/6 = 14
( (sum of 5 values) + (6th value) )/6 = 14
(y + x)/6 = 14
(60 + x)/6 = 14
where x is the 6th number we want to find.
-----------
Solve for x
(60 + x)/6 = 14
60+x = 6*14
60+x = 84
x = 84-60
x = 24 so choice (1) is the answer
Given below are the rating and performance scores of 15 laptop computers. Performance Score 115 191 153 194 236 184 184 216 185 183 189 202 192 141 187 Overall Rating 74 78 79 80 84 76 77 92 83 78 77 78 78 73 77 How will you classify the linear relationship between the performance scores and the rating
Answer:
moderate positive relationship
Step-by-step explanation:
From the data:
The linear relationship between score and rating can be obtained by calculating the Pearson correlation Coefficient between the two variables. This can be obtained more easily by using technology, a linear correlation Coefficient calculator. The result of the correlation Coefficient for the data above is about 0.66. This value is positive which shows that the association between the variables is positive, increase in one leads to increase in the other and vice versa. Also the value shows that the relationship is fairly strong.
PLEASE HELP ME !
Lance baked brownies for a school bake sale. The shaded figures stand for the brownies sold.
Part A What mixed number do the shaded portions stand for? Use what you know
about mixed numbers to explain why your answer is correct.
Help pleaseeeee thanks
Answer:
We know that 3 l 3 = 3.3, so the values of the stem and leaf plot would be;
4 l 8, 9
5 l 1, 6, 8, 8, 9
6 l 8, 9, 9, 9, 9
7 l 0, 2, 2, 2, 5, 5
8 l 0, 9
Hope this helps!
A manufacturer of liquid laundry detergent has a .02 probability that the detergent bottles will be improperly filled. (Either too much or too little detergent.) There is a .03 probability that the label on the bottle will not be affixed properly. If the events of bottle fill and affixing the label are independent, then the probability of a bottle being filled improperly and having an improperly affixed label is
Answer:
0.0006
Step-by-step explanation:
The probability is
Given that
A denotes the bottle being filled improperly
And,
B denotes the label on the bottle will not be affixed properly
So,
P(A) = 0.02 ,
ANd, P(B) = 0.03
Also that A and B are independent events.
So, by property of independence is
P(A \cap B) = P(A and B) = P(A) P(B)
= P(A and B) =P(A)P(B)
= 0.02 × 0.03
= 0.0006
One centimeter on the map represents 10 meters on the ground?
Grandma Marlene and Grandpa Gary are putting holiday lights on the gutters of their house. Grandma Marlene leans a 16-foot ladder up against the house, which makes the base of the ladder 9 feet from the house. How far up the house is the ladder?
Answer: 48
Step-by-step explanation: if i did the math correct 1/3 times the base (9) times 16 is 48. the formula is 1/3 x Bh
45,39,33,27,21,15, ?
Answer:
9
(i hope this helped!)
Answer:
The answer is 9.
Step-by-step explanation:
45-6=39-6=33-6=27-6=21-6=15-6=9.
The school band is ordering customized stickers to support the band. The cost for 100 stickers is $110.00 and the cost for 200 stickers is $185.00 Write an equation to show the total cost of the stickers as a function of the number of stickers ordered.
Answer:
y = 0.75x + 35
Step-by-step explanation:
y = 0.75x + 35
where: y for cost in $, x for number of stickers ordered
A discount of 15% is offered on an item which previously Cost $1.80. What is the discounted price
Cost Price= CP= $1.80
Discounted Price = $ 1.53
Amount Saved= $ 0.27
Discount= 15%
The Discounted Price $ 1.53 is obtained after the discount percent applied to the cost price and subtracted from the cost price.
When the discounted price is subtracted from the Cost Price we get the amount saved.
Discount = discount % × Cost Price
Discount = 15% × $ 1.80 = $ 0.27
Discounted Price= Cost Price- Discount
= $1.8- $ 0.27= $ 1.53
https://brainly.com/question/22066753
Peter had $4.80 to spend at the store. He spent 1/3 of the money on a model car, 1 /4 of the
money on glue, 1/8 of the money on paint. He spent the rest on a hot dog and soda. How
much money did Peter spend on the ...
model car?_________.
glue?_____________.
paint?___________ .
hot dog and soda?________.
Answer:
model car?___$1.60______.
glue?_____$1.20________.
paint?_____$0.60______ .
hot dog and soda?___$1.40_____.
Step-by-step explanation:
model car: $4.80/3 = $1.60
glue: $4.80/4 = $1.20
paint: $4.80/8 = $0.60
hot dog & soda: $4.80 - $1.60 - $1.20 - $0.60 = $1.40
Please help! This is due today!
I need this quick, please!
What does x equal?
-x / 3 + 4 = 20
Answer:
x= -48
Step-by-step explanation:
-x is being divided by 3, so you want to muiltiple both sides of the equation by 3, move the constant to the right, find your answer and then change the signs! Don't forget about the negative sign.
Find the value of x in the isosceles triangle shown below.
Answer:
The anwser to this would be x=6 so C hope this helps :)
Chapter 12
ees
An isosceles triangular prism has a triangular end with a base of 14 inches, an altitude of 24 inches, and a side length 25 inches The height of the prism is
10 inches Calculate the Lateral and Total Surface areas of the prism?
Answer: 11176ft.
Step-by-step explanation:
Solve for x. 4/x + 3/x =14 answer choices is 2,-2,1/2,3/7,1/4
Answer:
=1/2
Step-by-step explanation:
i hope i'm right
8+
3
z
=12 its z over 3 btw how do i show my work
8+z/3=12
8+4=12
12/3=4
z=12
If f(x) =
3x-2
———
6
which of the following is the inverse of f(x)?
O A. f-'(x) =
x= 2x
O B. F'(x) = 6x-2
O c. f'(x) = 6**2
OD. F'(x) = 2x32
Answer:
i thin correct answer is b
PLEASE HELP! ILL GIVE BRAINLIEST!! PLEASEE
The answer is A which is 30. :D
Answer:
30
Step-by-step explanation:
2x + x - 10 = 80
3x - 10 = 80
3x (- 10 + 10)= 80 + 10
3x = 90
3x/3 = 90/3
x = 30
7. There are 42 pupils in a class. 12 of them are Malays while the rest are
Chinese. 1/4 of the boys and 12 of the girls are Malay. How many boys
are there in the class?
I NEED THIS ASAP!!!
Answer:
There are 36 boys in the class.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
x is the number of boys
y is the number of girls.
There are 42 pupils in a class.
This means that [tex]x + y = 42[/tex].
Since we want x, we have that [tex]y = 42 - x[/tex]
12 of them are Malays while the rest are Chinese. 1/4 of the boys and 1/2 of the girls are Malay.
This means that:
[tex]\frac{x}{4} + \frac{y}{2} = 12[/tex]
Since [tex]y = 42 - x[/tex]
[tex]\frac{x}{4} + \frac{42 - x}{2} = 12[/tex]
Multiplying everything by 4.
[tex]x + 84 - 2x = 48[/tex]
[tex]-x = -36[/tex]
[tex]x = 36[/tex]
There are 36 boys in the class.
There are thirteen shirts in your closet,
eight blue and five green. You randomly
select one to wear on Monday and then a
different one on Tuesday. You wear a blue
shirt on Monday and a green shirt on
Tuesday.
11 shirts
Step-by-step explanation:
You start off with 13, wear one monday, 12, then another tuesday 11
13-2=11
What is the MAD? 4, 32, 33, 45, 67
Answer:
No solution can be determined from the information provided.
Step-by-step explanation:
what is the answer to this question. i made it 20 pts
Answer:
the second choice
Pls help!!! Will name Brainliest
Solve for x:
Answer:
I think it’s 10
The following sample was collected during registration at a large middle school. At the 0.05 level of significance, can it be concluded that level of math is dependent on grade level?
Honors Math Regular Math General Math
6th Grade 34 45 15
7th Grade 37 49 13
8th Grade 29 45 17
Hypotheses:
sub(H,0): Level of math is independent of/dependent on grade level.
sub(H,1): Level of math is independent of/dependent on grade level.
Enter the expected matrix - round to 4 decimal places.
Honors Math Regular Math General Math
6th Grade
7th Grade
8th Grade
After running an independence test, can it be concluded that level of math is dependent on grade level?
Yes/No
Answer:
use Ma.thway it helps
Step-by-step explanation:
Can someone help me please
Let f(x)=√3x and g(x)=x-6 What's the smallest number that is in the domain of fog?
9514 1404 393
Answer:
6
Step-by-step explanation:
Maybe you have ...
f(x) = √(3x)
g(x) = x-6
Then ...
f(g(x)) = √(3(x -6))
The square root function is only defined for non-negative arguments, so we require ...
3(x -6) ≥ 0
x -6 ≥ 0 . . . . . divide by 3
x ≥ 6 . . . . . . . . add 6
The smallest number in the domain of f(g(x)) is x = 6.