Answer:
c. (10.1, 15.7)
Step-by-step explanation:
The calculation of the 95% confidence interval is shown below:
Given that
n = sample = 14
average = [tex]\bar x[/tex] = 12.9
Standard deviation = s = 4.9
Based on the above information
[tex]\alpha = 1 -0.95 = 0.05[/tex]
n - 1 = 14 - 1 = 13
[tex]t_{\alpha}\ value = 2.16[/tex]
Now the 95% confidence interval is
[tex]= \bar x + \pm\ t \times \frac{s}{\sqrt{n} } \\\\= 12.9 \pm 2.16 \times \frac{4.9}{\sqrt{14} } \\\\= 12.9 \pm 2.8287[/tex]
= (10.1, 15.7)
hence, the correct option is c.
Anyone help pleaseeeeee?
Solve the following 3/4+2/8
Answer:
28
Step-by-step explanation:
3x4 is 12
2x8 is 16
16+12 is 28
Answer:
1
Step-by-step explanation:
In order to add fractions they have to have a common denominator.
In this case we can multiply the fraction 3/4 by 2 to get 6/8.
Now we can add them:
[tex]\frac{6}{8} + \frac{2}{8} = \frac{8}{8} = 1[/tex]
Therefore, the answer to the question is 1.
I hope this helps!!
- Kay :)
David Egil and frances share money in the ratio 2:7:9 Egil gets £85 more than David work out how much they each get ?
Answer:
David gets £34, Egil gets £119 and Frances gets £153.
Step-by-step explanation:
Let the amount of money David gets be 2x, Egil be 7x and Frances be 9x.
7x = 2x + 85
7x - 2x = 85
5x = 85
x = 85 ÷ 5
x = 17
David (2x) = 2 × £17
= £34
Egil (7x) = 7 × £17
= £119
Frances (9x) = 9 × £17
= £153
if 1.24×0.94 correct to 2 significant
Answer:yes
Step-by-step explanation:yes
What is the greatest common factor of 28 and 56
Answer:
28
Step-by-step explanation:
What is the prime factorization of 50? 0 2 x 25 O 0 22 x 5 2x52 HURRRYY PLSSS
Answer:
50= 2x2x5 is the prime factorization of 50.
Please help me solve this problem
Answer:
Answer is D.
Step-by-step explanation: When looking for distance, you want to find the sum of the *absolute value of 2 numbers* (or more). That is why you would want to add p and q.
Hope this helped. I'm really tired rn so sorry if this wasn't the best.
Which best describes the dimensions of a line?
A line has zero dimensions because it represents a location on the coordinate plane.
A line has one dimension because it is made up of all points that extend infinitely in either direction.
A line has two dimensions because it is made up of three noncollinear points.
A line has multiple dimensions depending on how many labeled points it contains.
Answer:
A line has one dimension because it is made up of all points that extend infinitely in either direction.
Step-by-step explanation:
The correct statement which describes the dimensions of a line is,
''A line has one dimension because it is made up of all points that extend infinitely in either direction.''
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
We have to given that;
To find the dimensions of a line.
We know that;
A line has one dimension because it is made up of all points that extend infinitely in either direction.
Thus, The correct statement which describes the dimensions of a line is,
''A line has one dimension because it is made up of all points that extend infinitely in either direction.''
Learn more aboput the line segment visit:
https://brainly.com/question/280216
#SPJ5
the science club went on a two-day field trip the first day the members pay $50 for transportation plus $12 per ticket to the Planetarium the second day they paid $100 for transportation plus $9 for tickets to the geology Museum write an expression to represent the total cost in dollars for two days for the end members of the club and expression that represents the total cost in dollars for two days for the end members of the club is given
Answer:
y=50+12x y=100+9x
Step-by-step explanation:
What is the sign of the product (-5)(-3)(-8)(-6)? (5 points)
Answer:
750
Step-by-step explanation:
brainliest please
Answer: positive
Step-by-step explanation:
two negatives equals a positive
Help PLEASE PICTURE BELOW!!
Answer:
table d
Step-by-step explanation:
functions can not have the same input twice
Answer:
A B and C repreasent functions
Step-by-step explanation:
Carla has a bookcase with 4 shelves.she puts 6 bears in a row on each shelf. How many bears does she have? Draw a picture and write an equation to solve
(9x +10) (15x-2) solve for x
Answer:
x=2
Step-by-step explanation:
15x-9x = 6x
10+2 = 12
6x=12
x=2
Answer: x=2
Step-by-step explanation:
9x+10 = 15x-2
-9x -9x
____________
10 = 6x-2
+2 +2
__________
12=6x
Divide
x=2
Which of the following are not polynomials?
Answer:
A
C
and
D
Step-by-step explanation:
I need help ASAP
A manufacturer can produce 1 plastic bowl in 1 minute
Which graph models a relationship with the same unit rate
Answer:
The most likely answer is A, with it increasing 1 by 1, which correlates with the bowl to minute ratio.
The graph models a relationship with the same unit rate is shown in option (A), option (A) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
A manufacturer can produce 1 plastic bowl in 1 minute
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
From the data given the equation can be framed:
The proportional relationship will be:
y ∝ x
y = kx
x = 1 y = 1
k = 1
y = x
Thus, the graph models a relationship with the same unit rate is shown in option (A), option (A) is correct.
Learn more about the straight line here:
brainly.com/question/3493733
#SPJ5
Help pls for a grade
For a biology assignment, Melanie records the height of a plant over time.
The plant was 14 cm tall when she started the assignment. She notices that
the plant grows 7 cm every week.
Answer:
B (2,28)
Step-by-step explanation:
Find the slope of the line from the table.
X
1
4
7
10
у
7
5
3
1
1
A ________ function specifies the relationship between the demand for a product LaTeX: x and the price of the product LaTeX: p.
Answer:
Price demand function
Step-by-step explanation:
The price demand function is the function in which there is a relationship between the demand and the price of the product
The Price demand function is
[tex]= Price \times demand[/tex]
[tex]= p \times x[/tex]
hence, the price demand function represents that there is a relationship that lies between the demand and the price
Eric buys a pack of 36 chocolate bars. He gives one chocolate bar everyday to each of his best friends, Josh and Brian. Write the equation that shows the number of chocolate bars (y) he has left after x days. *
Answer:
36-1x
Step-by-step explanation:
plz let me know if I'm right
who can do it? Try to solve it if u can
Answer:
The other girls answer was correct
for the top boxes from left to right...
3.5 plus 4.5
bottom boxes
9.5 minus 3.5
Step-by-step explanation:
8 + 2 ( x - 6 ) = -2 + 2x - 2
Answer:
x = infinite amount of solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
8 + 2(x - 6) = -2 + 2x - 2
Step 2: Solve for x
Distribute 2: 8 + 2x - 12 = -2 + 2x - 2Combine like terms: 2x - 4 = 2x - 4Add 4 on both sides: 2x = 2xDivide 2 on both sides: x = xHere we see that x does indeed equal x.
∴ x = infinite amount of solutions.
Complete the function table.
y= 3x + 5
Solve each equation mentally. a. 5/2 x ? = 1
Answer:
1 is the answer why because its multiply both side 1
A well know Statistical Institution claims that the average College tuition for a law degree costs at least thirty five thousand dollars. Analyzing a sample of fifty law schools in the vicinity of the study we found the sample had a mean tuition of $33,450 with a population standard deviation of $5,978 per year. At 2% level of significance test the Institution's claim.
Step-by-step explanation:
Below are the null and alternative Hypothesis,
Null Hypothesis, H0: μ = 35000
Alternative Hypothesis, Ha: μ < 35000
Test statistic,
z = (xbar - mu)/(sigma/sqrt(n))
z = (33450 - 35000)/(5978/sqrt(50))
z = -1.83
P-value Approach
P-value = 0.0336
As P-value >= 0.02, fail to reject null hypothesis.
There is not sufficient evidence to conclude that the average College tuition for a law degree costs at least thirty five thousand dollars.
Triangle ABC ~ Triangle DEF. Find the length of median FQ. Show how to solve. 25 points
The length of the median FQ in image of the two similar triangles is: 36.
How to Find the Median of Similar Triangles?The corresponding segments and median of similar triangles are proportional, therefore, we will have the following:
PC/FQ = PB/QE
Substitute
27/FQ = 18/24
FQ = (24 × 27)/18
FQ = 36.
Learn more about similar triangles on:
https://brainly.com/question/2644832
#SPJ1
I will give brainliest!!!!!
Answer:
False
Step-by-step explanation:
This graph is not a function because it fails the vertical line test where you draw a vertical line through the graph and if the vertical line touches the graph more than once it fails the vertical line test which means it is not a function.
Hope this helps!
Please help me out!!!
Answer:
Shifts 4 units down ---> [tex]g(x)=2x-10[/tex]
Stretches f(x) by a factor of 4 away from x-axis--->[tex]g(x)=8x-6[/tex]
Shifts f(x) 4 units right---> [tex]g(x)=2x-14[/tex]
Compress f(x) by a factor of 1/4 toward the y-axis ---> [tex]g(x)=1/2x-3/2[/tex]
Step-by-step explanation:
We are given [tex]f(x)=2x-6[/tex]
We need to match the transformations.
1) shifts f(x) 4 units down.
When function f(x) shifts k units down the new function becomes f(x)-k
In our case
[tex]g(x)=2x-6-4\\g(x)=2x-10[/tex]
So, Shifts 4 units down ---> [tex]g(x)=2x-10[/tex]
2) Stretches f(x) by a factor of 4 away from x-axis
When function f(x) is stretched by a factor of b away from x-axis the new function becomes f(bx)
[tex]g(x)=2(4x)-6\\g(x)=8x-6[/tex]
So, Stretches f(x) by a factor of 4 away from x-axis--->[tex]g(x)=8x-6[/tex]
3) Shifts f(x) 4 units right
When function f(x) shifts h units right the new function becomes f(x-h)
[tex]g(x)=2(x-4)-6\\g(x)=2x-8-6\\g(x)=2x-14[/tex]
So, Shifts f(x) 4 units right---> [tex]g(x)=2x-14[/tex]
4) Compress f(x) by a factor of 1/4 toward the y-axis
When function f(x) is compressed by h factor of a toward the y-axis the new function becomes h.f(x)
[tex]g(x)=1/4(2x-6)\\g(x)=1/2x-3/2[/tex]
Compress f(x) by a factor of 1/4 toward the y-axis ---> [tex]g(x)=1/2x-3/2[/tex]
(Option Not given)
(If we compress f(x) by a factor of 4 towards y-axis we get g(x)=8x-24)
A school principal has to choose randomly among the six best students in each grade to be the school captain every month. For that purpose, she assigned each student a number. Then she rolled two dice numbered from 1 to 6 three times and selected the student whose number was repeated most often.
Which of the following best describes the method used by the principal?
It's an unfair method because each student will not post the same outcomes.
It's a fair method because each result is an equally likely possible outcome.
It's a fair method because it's a limited number of students.
It's an unfair method because two or more students could get the same results.
Answer: It's an unfair method because two or more students could get the same results./ D
Step-by-step explanation: hope this helps
Answer:
B. It's a fair method because each result is an equally likely possible outcome.
Step-by-step-explanation :
According to the question , there are a total of 6 students to be selected by the principal.
So, the principal chose to roll two dice numbered 1, 2, 3, 4, 5, 6 for the selected students and choose the one whose number is most repeated.
Since we have sis sides on a dice , 2 dice [tex]= 6\times6=36[/tex]
The probability that a student will choose one number :[tex]\frac{1}{36}[/tex]
Thus, the selection of each student is given by the number
[tex]\frac{1}{36}[/tex]
So,each result is an equally likely possible outcome.
So, the principal choose a fair method.
Best and Correct answer gets BRAINLIEST!!!!!
which of the following inequalities matches the graph?