Answer:
Difference between upper and lower limits is : 1,816
Step-by-step explanation:
A CI (confidence interval ) for t student distribution is:
( μ₀ - t(α/2)* s/√n ; μ₀ + t(α/2)* s/√n )
Where:
μ₀ is the mean and s the standard deviation of the dstribution
n size of the sample
CI = 90 % means α = 10 % α = 0,1 α/2 = 0,05
and degree of freedom df = n - 1 df = 40
From t student table we get:
tα/2 = 1,6839
Then:
t(α/2)* s/√n = 1,6839* 3,41/√40
t(α/2)* s/√n = 0,908
8,73 - 0,908 = 7,822
8,73 + 0,908 = 9,638
CI (90%) = ( 7,822 ; 9,638 )
Difference between upper and lower cut-offs points is:
Δ = 1,816
On a number line where is the number 14 relative to the number -23
Answer:
14 is to the right of -23
Step-by-step explanation:
On the number line, the number 14 will appear on the right side of -23 with respect to zero from front.
What is a number line?Integers are arranged at equal intervals along horizontal straight lines called number lines. A number line can be used to represent every number in a series.
Number line is a graphical representation of whole numbers, natural numbers, rational and irrational numbers. which represents both negative and positive numbers such that, positive numbers from 1 to infinity lie on the right-hand side of zero and negative numbers from (- 1) to (- infinity) lie on the left-hand side of zero.
Therefore, zero is considered as the reference point.
Number 14 is positive natural number, it appears on the right side of zero and (-23) appears on the left side of zero.
Thus, On a number line, the number 14 lies to the right of number -23.
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Simplify 3 + (b + 8) = 3 + (8 + b)
Answer:
−3b /8
Step-by-step explanation:
Answer:
b + 11 = 11 + b
Step-by-step explanation:
Combine like terms. Note that because you are adding for all terms, you can technically disregard the parenthesis:
3 + (b + 8) = b + 3 + 8 = b + 11
3 + (8 + b) = 3 + 8 + b = 11 + b
b + 11 = 11 + b (True).
A magic square is a square array of numbers arranged so that the numbers in all rows, all columns, and the two diagonals have the same sum. Create a 3-by-3 magic square using nine of the ten numbers, 20, 21, 22, 23, 24, 25, 26, 27, 28, and 29. Explain your solution and reasoning. List the strategies used.
Answer:
strategies used are : identifying a sub-goal and Guess and check
Step-by-step explanation:
To create a 3 by 3 magic square using nine of the ten numbers
20,21,22,22,23,24,25,26,27,28 and 29
In order to achieve a 3 by 3 magic square table we will pick Nine consecutive numbers out of the ten numbers given and apply the format below
n+1,n-4,n+3,n+2,n,n-2,n-3,n+4,n-1
we will take n = 24
attached below is the magic square
please simplify 1+3^2⋅2−5
Answer:
[tex]-2.2[/tex]
Step-by-step explanation:
Let's simplify the expression.
[tex]1+3^2.2-5[/tex]
And the answer is
[tex]-2.2[/tex]
Hope this helps!
Answer:
14
Step-by-step explanation:
I took the test~~~~
A message can follow different paths through servers on a network. The sender’s message can go to one of five servers for the first step; each of them can send to five servers at the second step; each of those can send to four servers at the third step; and then the message goes to the recipient’s server.
a. How many paths are possible?
b. If all paths are equally likely, what is the probability that a message passes through the first of four servers at the third step?
Answer:
Number of way s= N=100
The probability that it passes through first of four servers at the third step is 0.25
Step-by-step explanation:
The total number of possible ways can be found out by multiplying the possibilities so the possibilities at the
1st stage is 5
2nd stage is 5
3rd stage is 4
4th stage is 1
So Number of way s= N= 5*5*4= 100
This can be solved by drawing a tree diagram as well.
Now the probability of finding the that a message passes through the first of four servers at the third step.
There are five paths
And we have to find the probability of four
So 5C1*5C4/100= 0.25
The probability that it passes through first of four servers at the third step is 0.25
Plot the following points to create a rectangle. Find the missing vertex.(5,3);(-5,3);(-5,-1)
Answer:
(5,1)
Step-by-step explanation:
I took the test
The US courts are reviewing a case to see whether a work has been refused fairly. What is an example of something they might consider when trying to decide whether the use was fair?
Answer:
The Purpose and Character of the usage of the work.
Step-by-step explanation:
In the United States of America, there is a terminology used in court called Fair use. This is a law in the USA that permits a limited use of one or more copyrighted materials without the need to first acquire permission from the holder of the copyright.
Thus, an example of something they might consider when trying to decide whether the use was fair is:
The Purpose and Character of the usage of the work.
This is because the original purpose of the work may have been altered to mean something new or different or it was just copied exactly into another work.
So knowing the purpose and character of usage of the work or material in question would be something they would consider
10/2i?
(dividing complex numbers)
Note that; i = √-1
Divide using the rule
10/2i = -5i
Best of Luck!
Write an improper fraction and a mixed number for the shaded portion of the group of figures.
Answer:
I will do a random number
2/3=1 2/3
Step-by-step explanation:
And I think that is what u want
[tex]2\frac{1}{3}[/tex] is a mixed fraction and 7/3 is a improper fraction.
What is Fraction?A fraction represents a part of a whole.
We need to write a improper fraction and a mixed number for the shaded portion of the group of figures
Fractions are three types proper, improper and mixed fraction
A proper fraction is a fraction which has its numerator value less than the denominator.
A improper fraction is a fraction which has its numerator value greater than the denominator.
A fraction represented with its quotient and remainder is a mixed fraction.
[tex]2\frac{1}{3}[/tex] is a mixed fraction
7/3 is a improper fraction.
Hence, [tex]2\frac{1}{3}[/tex] is a mixed fraction and 7/3 is a improper fraction.
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A bag contains three types of candy (gumdrops, jelly beans, and jawbreakers). If
chosen at random, the probability of getting a gumdrop is, and the probability
of getting a jellybean is 3. What is the probability of getting a jawbreaker?
Answer:
1/2
Step-by-step explanation:
First, I added the two numbers tat we had already.
1/6+1/3=1/6+2/6=3/6=1/2
Then, I subtracted the sum (1/2) from the total (1).
1-1/2=1/2
So, the probability of getting a jawbreaker is 1/2.
Solve the equation, P= n+k+m for n
Answer:
n = p-k-m
Step-by-step explanation:
You would just say, like k and m and 1 and 2. But instead of adding them you just bring the to the other side like
p = n+1+2
-1 -1
p-1 = n+2
-2 -2
p-1-2 = n
p-k-m-n
Help, please! College precalc! TIA.
Answer:
I believe that the answer is 0
Step-by-step explanation:
All you have to do is add f and g and substitute -2 for x. When you substitute -2, simplify.
Step-by-step explanation:
(f+g)=(x-4)+(x^2-x)=x^2+x-x-4=x^2-4
when x=-2
(f+g)(-2)=(-2)^2-4=0 ans.
Given f(x) = 3x – 5, solve for x when f(x) = 1
The value of x when f(x) = 1 is x = 2.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
Given:
The function,
f(x) = 3x – 5.
Solving for x when f(x) = 1,
1 = 3x - 5
3x = 6
x = 2
Therefore, the value is x = 2.
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x/9 + 7 ≥ 10
A. x ≤ 83
B. x ≥ 27
C. x ≤ 27
D. x ≥ 83
Answer:
its B.x> 27
Step-by-step explanation:
I need help with example 4 plz
Answer:
a) [tex]y=1[/tex]
b) [tex]x=-3[/tex]
Step-by-step explanation:
Recall the forms of vertical and horizontal lines
Horizontal lines come in the form of [tex]y=0x+b[/tex], so the slope of the equation is zero. The value of b will be the y-value of the point that you're given.
This means that the equation for a would be y=1
Vertical lines come in the form of [tex]x=a[/tex]. For this line, the value of a would be equivalent to the x-value of the given point. Therefore, b. would be [tex]x=-3[/tex]
For an apartment complex, the association collects $158,000 from all of its 211 residents. What is the average rent per capita for this apartment complex?
Answer:
$748.42
Step-by-step explanation:
The average rent per capita is used to measure the average rent paid by a group of people in an apartment or an area. The rent per capita estimates the average rent charged for each resident. It is ratio of the total rent paid by the people in the area to the number of residents. Hence:
The average rent per capita = Total rent / number of residents = $158000 / 211 residents = $748.42
Carrie has $87 left in her bank account. If she writes a check for $99, what will Carrie’s balance be?
Answer:
[tex] -12 [/tex]
Step-by-step explanation:
You start with 87 dollars.
[tex] 87 [/tex]
You write a check for 99 dollars.
Writing a check means taking money out of the bank.
[tex] 87 - 99 [/tex]
[tex] -12 [/tex]
She will have -12 dollars.
She is in debt for 12 dollars.
She owes the bank 12 dollars.
what's the solution of the equation 4[x+2(3x-7)]=22x-65
Answer:
x = -3/2
Step-by-step explanation:
Let's solve your equation step-by-step.
4(x+2(3x−7))=22x−65
Step 1: Simplify both sides of the equation.
4(x+2(3x−7))=22x−65
(4)(x)+(4)(2(3x−7))=22x+−65(Distribute)
4x+24x+−56=22x+−65
(4x+24x)+(−56)=22x−65(Combine Like Terms)
28x+−56=22x−65
28x−56=22x−65
Step 2: Subtract 22x from both sides.
28x−56−22x=22x−65−22x
6x−56=−65
Step 3: Add 56 to both sides.
6x−56+56=−65+56
6x=−9
Step 4: Divide both sides by 6.
6x = -9
6 6
x = -3/2
What is the quotient of 8,688 ÷ 24?
362
434
450
8,664
Answer:
362
Step-by-step explanation:
Answer:
362
Step-by-step explanation:
Add an apple orchard, small bags contain 7 apples. Alexa and her family bought 91 apples for a party. How many small bags did they buy? I need the problem solved out thanks
In this problem, we'll need to divide the number of apples by the amount of apples in a small bag. This will leave us with the number of small bags needed for the amount of apples.
91 / 7 = 13
Therefore, Alexa and her family bought 13 small bags of apples.
(4x - 2) + (6x - 2). Please help brainly
Answer:
2 (5 x - 2) = 10 x - 4 or x = 2/5 (if you need to solve for x)
Step-by-step explanation:
Simplify the following:
4 x - 2 + 6 x - 2
Hint: | Group like terms in 4 x - 2 + 6 x - 2.
Grouping like terms, 4 x - 2 + 6 x - 2 = (4 x + 6 x) + (-2 - 2):
(4 x + 6 x) + (-2 - 2)
Hint: | Add like terms in 4 x + 6 x.
4 x + 6 x = 10 x:
10 x + (-2 - 2)
Hint: | Group the negative terms in -2 - 2 together and factor out the minus sign.
-2 - 2 = -(2 + 2):
10 x + -(2 + 2)
Hint: | Evaluate 2 + 2.
2 + 2 = 4:
10 x - 4
Hint: | Factor out the greatest common divisor of the coefficients of 10 x - 4.
Factor 2 out of 10 x - 4:
Answer: 2 (5 x - 2)
________________________________
if you need to solve for x then:
Solve for x:
10 x - 4 = 0
Add 4 to both sides:
10 x + (4 - 4) = 4
4 - 4 = 0:
10 x = 4
Divide both sides of 10 x = 4 by 10:
(10 x)/10 = 4/10
10/10 = 1:
x = 4/10
The gcd of 4 and 10 is 2, so 4/10 = (2×2)/(2×5) = 2/2×2/5 = 2/5:
Answer: x = 2/5
Find the unit rate and use it answer the question
35 copies in 7 minutes, how may copies in 10 minutes
Answer:
50 copies in 10 minutes
Step-by-step explanation:
becuase it takes 7 minutes for 35 copies and 5 copies times 7 is 35 so 5 copies per minute and it would take 10 minutes for 50 copies
Estimate. Then find the difference 456,912 -37,800
what would be the slope of y=3x.?
Answer:
3
Step-by-step explanation:
The slope is the coefficient to the x variable.
In the equation y = 3x, this means 3 is the slope because it is the coefficient to x.
So, the slope is equal to 3.
Answer:
[tex]3[/tex] or [tex]\frac{3}{1}[/tex]
Step-by-step explanation:
Remember slope-intercept form.
[tex]y=mx+b[/tex]
~
[tex]m=slope[/tex]
[tex]b=y-intercept[/tex]
In the case of [tex]y=3x[/tex]:
[tex]m=3[/tex]
Are lines GH and G'H' perpendicular? Why or why not? Yes, they intersect at one point. Yes, their slopes are negative reciprocals. No, their slopes are not negative reciprocals. No, their slopes are not equal.
Answer:
Step-by-step explanation:
B yes their slopes are negative reciprocals
Answer:
b
Step-by-step explanation:
on edge
Solving by Completing the Square
Answer:
16
Step-by-step explanation:
Hello,
[tex]x^2-8x=10 \text{ *** we complete the square ***}\\ \\(x-4)^2-4^2=10 <=> (x-4)^2-16=10 \text{ *** we add 16 to both sides ***}\\\\(x-4)^2-16\boxed{+16}=(x-4)^2=10\boxed{+16}=26[/tex]
Thanks
If (6, 1) is dilated by a scale factor of 3 the new point would be:
A(3,3)
B (18,3)
C (15,3)
D (9.4)
Three quarters make up what fraction of a dollar?
An equivalent fraction to 5/16 is
a. 5/32
b. 10/32
c.1/2
d. 10/16
Answer:
B is the answer..................
==================================================
Explanation:
Multiply top and bottom of the original fraction by 2
[tex]\frac{5}{16} = \frac{5*2}{16*2} = \frac{10}{32}[/tex]
Or you could go in reverse to divide each part of 10/32 by the GCF 2
[tex]\frac{10}{32} = \frac{10\div 2}{32\div 2} = \frac{5}{16}[/tex]
-------------------
Another alternative is to use your calculator to find the decimal version of each answer choice
5/32 = 0.15625
10/32 = 0.3125
1/2 = 0.5
10/16 = 0.625
And compare these results with 5/16 = 0.3125
Both 5/16 and 10/32 have the same decimal value 0.3125, which makes them equal.
The temperature is -14 degrees. Over the next three days, the temperature drops 5 degrees, then 3 degrees, and finally 1 degree. What is the temperature now?
Answer:
-23 degree
Step-by-step explanation:
=>-14-5-3-1
=>-23
Answer:
-23°
Step-by-step explanation:
= -14 - (5+3+1)
= -14 - 9
= -23°