Answer:
Needed point estimate is $372
Step-by-step explanation:
Given:
Number of houses in resident area = 121
Monthly mean car payment = $372
Find:
Best point estimate for the mean monthly car payment
Explanation:
The "best point estimate" for such average monthly automobile payment for all inhabitants of the nearby apartment complex is used as the "sample mean." In this example, a $372 sample was obtained on 121 residents.
As a result, the needed point estimate is $372.
What do you add to 2 7/8 to make 5
Answer:
2 1/8
Step-by-step explanation:
7/8 is the same as 0.875 and therefore you need 0.125 also known as 1/8 to make it a whole number. When you add it to the already existing whole 2 you get three. Subtract three from five to make two which is what you need to add on top to finally get 5.
In a right triangle, the lengths of the two legs are 8 cm and 10 cm respectively. Find the hypotenuse of the triangle.
9 cm
10.5 cm
12 cm
12.8 cm
12.8, pythagorean theorem.
The mean temperature for the first 4 days in January was 1°C.
The mean temperature for the first 5 days in January was -1°C.
What was the temperature on the 5th day?
Answer:
The temperature on the 5th day was of -9ºC.
Step-by-step explanation:
Mean of a data-set
The mean of a data-set is the sum of all values in the data-set divided by the number of values.
The mean temperature for the first 4 days in January was 1°C.
This means that during the first 4 days, the sum of the temperatures was 4*1 = 4ºC.
The mean temperature for the first 5 days in January was -1°C.
First 4 days: Sum of 4º
5th day: Temperature of x.
The mean is -1, so:
[tex]-1 = \frac{4 + x}{5}[/tex]
[tex]x + 4 = -5[/tex]
[tex]x = -9[/tex]
The temperature on the 5th day was of -9ºC.
13, 5, 4, 9, 7, 14, 4 The deviations are _____.
A. "5, -3, -4, 0, 1, 6, 4"
B."5, -3, -4, 1, -1, 6, -4"
C."6, -3, -4, 1, 2, 6, -4"
D."-5, 3, 4, -1, 1, 6, 4 "
Answer:
B."5, -3, -4, 1, -1, 6, -4"
Step-by-step explanation:
We are given that
13,5,4,9,7,14,4
We have to find the deviation.
Mean=[tex]\frac{sum\;of\;data}{total\;number\;of\;data}[/tex]
Using the formula
[tex]Mean,\mu=\frac{13+5+4+9+7+14+4}{7}[/tex]
[tex]Mean,\mu=\frac{56}{7}=8[/tex]
Deviation=[tex]x_i-\mu[/tex]
[tex]x_i-\mu[/tex]
13 5
5 -3
4 - 4
9 1
7 -1
14 6
4 - 4
Hence, option B is correct.
Which of the following slopes of a line pass through points (3, 1) and (0, 1)?
Simplify this algebraic expression y-3 over 3+12
Answer:
(Y-3)/(3+12)
(Y-3)/(15)
Y-1/5
so the answer is
(Y-1)
Answer:
[tex]y - 3 \: over \: 3 + 12 \\ y - 3.3 + 12 \\ y - 3.3 + 12 = y + 8.7 \\ y - 33 + 12 \\ y + 8.7[/tex]
A random sample of 35 employees of the local green technologies plant Greenies, who completed two years of college, were asked to take a basic mathematics test. The mean and standard deviation of their scores were 75.1 and 12.8, respectively. In a random sample of 50 employees who had only completed high school, the mean and standard deviation of the test scores were 72.1 and 14.6, respectively. Assuming equal variance between the two populations, can we infer at the .10 level of significance that students who completed two years of college had a higher average than students who had only completed high school
Answer:
There is no significance evidence that students who completed two years of college had a higher average than students who had only completed high school.
Step-by-step explanation:
The hypothesis :
H0 : μ1 = μ2
H1 : μ1 > μ2
Given :
n1 = 35 ; x1 = 75.1 ; s1 = 12.8
n2 = 50 ; x2 = 72.1 ; s2 = 14.6
Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)
df1 = n1 - 1 = 35 - 1 = 34
df2 = n2 - 1 = 50 - 1 = 49
(x1 - x2) ÷ Sp(√(1/n1 + 1/n2))
Sp² = (34*12.8^2 + 49*14.6^2) / (35+50-2)
Sp² = (5570.56 + 10444.84) / 83
Sp² = 192.95662
Sp = √192.95662
Sp = 13.89
Test statistic = (75.1 - 72.1) / 13.89 * √(1/35 + 1/50)
Test statistic = 3 / (13.89 * 0.2203892)
Test statistic = 0.980
df = n1 + n2 - 2
df = 35 + 50 - 2 = 83
Using the Pvalue calculator :
Pvalue(0.980, 83) = 0.165
α = 0.1
Pvalue > α ; We fail to reject the H0; and conclude that there is no significance evidence that students who completed two years of college had a higher average than students who had only completed high school.
if A = {x:x<6,x€N} and B ={y:y<4,y€W}, list A-B and B-A
Answers:
A - B = {4,5}B - A = {0}==========================================================
Explanation:
Recall the following
N = set of natural numbers
N = {1,2,3,4,5,6,...}
W = set of whole numbers
W = {0,1,2,3,4,5,6,...}
The sets N and W are nearly the same set, except for W has 0 involved, while N does not. The triple dots say that pattern goes on forever.
From those infinite sets, we form the two finite subsets A and B like so
A = {x : x < 6, x is in N}
A = {x such that x < 6 and x is a natural number}
A = {1,2,3,5}
B = {y : y < 4, y is in W}
B = {y such that y < 4 and y is a whole number}
B = {0,1,2,3}
-------------------------------------------------
In short, we have these two finite sets
A = {1,2,3,4,5}B = {0,1,2,3}The notation A-B indicates we'll start with set A and kick out members of set B that are also in set A. This is known as set subtraction.
So we'll write out set A to get {1,2,3,4,5}
Then we cross off 1,2,3 in this set because these values are found in set B
We're left with {4,5}
Therefore A-B = {4,5}
---------------------------------------------------
To compute B-A, we do the same idea but in reverse.
Start with set B
{0,1,2,3}
and erase the items 1,2,3 since they are found in set A
We then find that
B-A = {0}
Even though we have 1 item, don't forget about the curly braces to say we have a set. Any set that has exactly 1 item in it is considered a singleton set.
Keep in mind that the singleton {0} is not the empty set. The empty set would have nothing inside it and we would say { } instead.
Which is the graph of f(x) = 4(1/2)^x
Answer:
B.
Step-by-step explanation:
f(x) = 4(1/2)^x
Let's find the value of the function for x = 0 and for x = 1.
f(0) = 4(1/2)^0 = 4(1) = 4
f(1) = 4(1/2)^1 = 4(1/2) = 2
The only graph that has both points (0, 4) and (1, 2) is the second graph.
Answer: B.
i would like to lesen how to Break Down math 3rd thru 12
Answer:
Here are some basic tips that experts suggest.
Discuss math class at home.
Model good math behavior.
Talk through math problems.
Highlight real-life math problems.
Highlight real-life examples of fractions.
Play math games.
Use money to practice math.
Explore math with sports.
Step-by-step explanation:
6. Tax: If sales tax is figured at 7.25%, how
much tax will be added to the total purchase
price of three textbooks, priced at $25.00,
$35.00, and $52.00?
Answer:
$8.12
Step-by-step explanation:
1. Looking at the questionThe question says tax will be added to the total purchase price, so not each of them individually.
Prices: $25, $35, $52
Tax rate: 7.25%
2. Solving[tex]25+35+52=112[/tex]
Percent to decimal = x/100
[tex]7.25[/tex]÷[tex]100=0.0725[/tex]
[tex]0.0725[/tex]·[tex]112=8.12[/tex] (this is the tax)
Hope this helped! Please mark brainliest :)
Answer:
1.81,2.54,3.77
Total
8.12
Step-by-step explanation:
To find the tax, multiply the original amount by the tax rate
tax
25 * 7.25%
25 *.0725
Rounding to the nearest cent
1.81
35 * 7.25%
35 *.0725
Rounding to the nearest cent
2.54
52 * 7.25%
52 *.0725
Rounding to the nearest cent
3.77
Total for all three
1.81+2.54+3.77=8.12
solve the system of equation — 3х + бу = 9
5х + 7y = -49
Answer:
y = 64/3
x = -119/3
Step-by-step explanation:
3х + 6у = 9 => 5*3x+5*6у = 9*5 => 15x+30у=45 (1)
5х + 7y = -49 => 3*5x + 3*7y = -49*3 => 15x+21y=-147 (2)
(1)-(2) => 9y = 192 => y = 64/3
x = -119/3
1=5
2=12
3=39
4=148
5=?
If today is Friday, tomorrow will be Saturday
Answer:
Yes
Step-by-step explanation:
Yesterday would be Thursday and the day after next would be Sunday
What piece of information is needed to prove the triangles are congruent through AAS?
Answer:
C. <C is congruent to <Y
Step-by-step explanation:
to be AAS the angles need to be next to each other
Combine as indicated by the signs. Write answer In descending powers of x.
X+6/x^28x+15+3x/x+5-x-3/x+3
= ?
Answer:
Step-by-step explanation:
You are dealt one card from a 52-card deck.
a) Find the odds in favor of getting a red king.
b) Find the odds against getting a red king.
Answer:
(a)So, there are 2 kings in red- one of hearts and the other of diamonds. Therefore, the probability of selecting a red king from a deck of cards= 2/52 or 1/26.
(b) There are 6 red face cards in a 52-card deck (so 46 other cards). PROBABILITIES compare the number of favorable outcomes to the total number of possible outcomes: The PROBABILITY of getting a red face card is 6/52 = 3/26.
The odds in favor of getting a red king will be 1/26. And the odds against getting a red king will be 25/26.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
You are dealt one card from a 52-card deck.
Total events = 52
The odds in favor of getting a red king will be
Favorable events = 2
Then the probability will be
P = 2/52
P = 1/26
The odds against getting a red king will be
q = 1 – P
q = 1 – 1/26
q = 25/26
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
Which expression is equivalent to v2/3v2? 1/4 6v2 v2 v2/2
Answer:
Step-by-step explanation:
[tex]2^{1/2} - 2^{-1/3} = 2^{1/2 + 1/3} = 2^{3/6} = 2^{1/2} = \sqrt{2}[/tex]
Answer:
[tex]\sqrt[6]{2}[/tex]
Step-by-step explanation:
2 ^ 1/2 ÷ 2 ^ 1/3
We know that a^b ÷ a^ c = a^(b-c)
2 ^ (1/2 -1/3)
2^ (3/6 - 2/6)
2 ^ 1/6
[tex]\sqrt[6]{2}[/tex]
if 2 (3x - 4 ) =5, then x =
Answer:
2.167 (rounded to the nearest hundredths).
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, divide 2 from both sides of the equation:
(2(3x - 4))/2 = (5)/2
3x - 4 = 2.5
Next, isolate the variable, x. Add 4 to both sides of the equation:
3x - 4 (+4) = 2.5 (+4)
3x = 2.5 + 4
3x = 6.5
Then, divide 3 from both sides of the equation:
(3x)/3 = (6.5)/3
x = 6.5/3 = 2.167 (rounded).
~
Answer:
We have this equation
2*(3x-4) = 5
We can start solving the parentheses
2*(3x- 4) = 5
6x - 8 = 5
We can add 8 to both sides
6x - 8 + 8 = 5 + 8
6x = 13
And divide by 6
6x/6 = 13/6
x = 13/6
Help if possible, thanks
Answer:
C
Step-by-step explanation:
Sara's speed is 10mph while Bob is 8mph
Find the Greatest common factor of 120? Show your work!
Answer:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60
Step-by-step explanation:
1x120, 2x60, 3x40, 4x30, 5x24, 6x20, 8x15, 10x12, 12x10,15x8, 20x6, 24x5, 30x4, 40x3, 60x2
PLEASE HELP ASAP! So the answer I got for this problem is 50.26. Can someone make sure that is the correct answer? Please let me know how to solve this problem if it is wrong.
Answer:
Step-by-step explanation:
every thing looks good, except the question says "round" and soooooo, if you are rounding to the 2nd decimal place, then the next two decimal places are 54, or 50.2654 so, to round that, round up , so your final answer would look like 50.27 :) see?
9514 1404 393
Answer:
50.24 inches (or 50.2 inches)
Step-by-step explanation:
The formula for circumference in terms of radius is ...
C = 2πr
Using the given values for radius and for pi, the circumference is ...
C = 2(3.14)(8 in) = 50.24 in
__
Additional comment
If you use a more accurate value of pi, the rounded value is 50.27 in. That is not the value requested by this problem. It helps to follow directions.
If you like, you can round to 50.2, since only one decimal place is required in the result.
Find the range of the data set represented by this box plot.
25
70
20
60
Answer:
D. 60
Step-by-step explanation:
Range is the difference between the maximum value and the minimum value.
The minimum value is at the extreme end of the whisker of the box plot to your left = 65
The maximum value is at the extreme end of the whisker of the box plot to your right = 125
Range = 125 - 65 = 60
A bank records deposits as positive numbers and withdrawals as negative numbers.
Mike withdrew \$60$60dollar sign, 60 from his bank account 333 times.
What is the change in Mike's account balance after all 333 withdrawals?
\$$dollar sign
Answer:
i think that $19980 is the answer
Step-by-step explanation:
i hope it will help u
Explain why the following function is not piecewise continuous
9514 1404 393
Answer:
the function has no finite limit at the left end of the interval (5, ∞)
Step-by-step explanation:
In order for the function to be piecewise continuous, it must have finite limits at the endpoints of each of the subintervals. Here, the function goes to infinity as x → 5+, so has no finite limit there.
What is this expression in simplified form?
[tex]\sqrt{32} · \sqrt{24}[/tex]
Hello!
√32 × √24 =
= √768 =
= 16√3
Good luck! :)
Answer:
16×sqrt(3)
Step-by-step explanation:
what full square numbers are factors in the numbers under the square root that we can pull out ?
and then multiply the rest under the square root and possibly repeat one more time.
32 = 16×2
16 is a great square number.
in 24 we find 4 as the largest square factor.
so,
sqrt(32)×sqrt(24) = sqrt(16×2)×sqrt(4×6) =
= 4×sqrt(2)×2×sqrt(6) = 8×sqrt(2×6) = 8×sqrt(12) =
= 8×sqrt(4×3) = 8×2×sqrt(3) = 16×sqrt(3)
what can you infer about angles x and y based on the information in the other triangles?
Which of the following must be equal to 30% of x?
3x
(A)
1,000
3x
(B)
100
3x
(C)
10
(D) 3x
Answer:
You can go ahead with option D
Step-by-step explanation:
30% of x will be 3xa number decreased by 22% is 117. What is the number?
Answer:
Old number = 150
Step-by-step explanation:
Given information;
Percentage decreased = 22%
New number obtain = 117
Find:
Old number
Computation:
Old number = New number obtain[100 / (100 - 22)]
Old number = 117[100 / (100 - 22)]
Old number = 117[100 / (78)]
Old number = 11,700 / 78
Old number = 150
what is the value of pie
Answer:
3.142
Step-by-step explanation:
Succinctly, pi which is written as the Greek letter for p, or π is the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.142.