Answer:
1) The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341.
2) between 20 and 25 --> 21-25/2.9 = -1.38
Step-by-step explanation:
Problem #1:
Using the z-score formula, z = (x-μ)/σ/n, where x is the raw score = 20 mpg,μ is the population mean = 21 mpg , σ is the population standard deviation = 2.9, n = random number of samples.X < 20= z = 20 - 21/2.9/√25= z = -1/2.9/5= z = -1.72414NowP-value from Z-Table:
P(x<20) = 0.042341Problem #2:
21-25/2.9 = -1.38Select the correct answer. Simplify. square root of 72 A. 2 square root of 6 B. 36 square root of 2 C. 12 square root of 6 D. 6 square root of 2
Answer:
it's B 36 square root of 2
y=10x+5 in function table
Answer:
y=5+10x
Add 10x to both sides of the equation.
Vocabulary How is a ratio table used to graph equivalent ratios?
Answer:
Step-by-step explanation:
two ways of representing a relationship between quantities.
Lucy bought three books at a bookstore. Here are their prices (in dollars).
7.58, 16, 18.24
What is the total amount Luct paid at the bookstore?
Answer:
41.82$
Step-by-step explanation:
The prices are
7.58$, 16$, 18.24$.
To get the total of all what Lucy bought, You add the prices altogether.
That is,
18.24$
+16.00$
+07.58$
41.82$
The total amount of what Lucy bought is 41.82$
Which statement is represented by the equation below?
15 × 5 = 75
Select one:
The number 15 is 5 less than 75.
The number 15 is 5 times as many as 75.
The number 75 is 15 more than 5.
The number 75 is 5 times as many as 15.
Answer:
D
Step-by-step explanation:
if 15*5 is 75, than 75 is 5 times bigger than 15
The equation 15 × 5 = 75 represented the statement The number 75 is 5 times as many as 15, so option D is correct.
What is the equation?The equals sign is used in equations to indicate the equality of two expressions in a formula. It is a mathematical statement that says, "this is equivalent to that," in other words. There appears to be an equal sign in the middle, a mathematical expression on the right, and a mathematical expression on the left.
Given:
15 × 5 = 75
Assume the number is x = 5,
Here, you can see that x is 15 times to equal 75,
So, the above statement can be written as the number 75 is 5 times 15.
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X⁴+Y⁴= 641
X+Y= 7
Find the value of X and Y
A number of fiction books at a library was 3/4 of the total number of books. After 592 fiction books were donated to the library, the number of fiction books became 5/6 of the total number of books. How many books were there at th3 library at first?
Please, I become confused when 6ou say assume whatever as (x) or whatver
There approximately 7133 books in the library;
Data;
Let the number of total books = xNumber of fictional books = 3/4xWord ProblemTo solve this problem, we simply need to use an equation to explain the word problem into mathematical statements.
Let the total number of books be represented by x
The number of fictional books = 3/4x
After 592 fictional books were donated;
[tex]\frac{3x}{4} + 592 = \frac{5}{6}x[/tex]
Let collect like terms and solve
[tex]\frac{3x}{4} +592 = \frac{5}{6} x\\\frac{5}{6}x - \frac{3x}{4} = 592\\ 0.083x=592\\x = 592/0.083\\x = 7132.53[/tex]
There approximately 7133 books in the library;
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The USF Student Government has seven elected student representatives. Each student representative is equally likely to serve in any of the positions. What is the probability of randomly selecting a President and a vice president?
A. 0.024
B. 0.33
C. 0.033
D. 0.002
Answer:
i don't know honestly I just want my free answers man
50PTS Chef Alfredo has noticed some changes in his business. He usually sells 45 pizzas on
Sunday afternoons. During football season, he has big television screens televising NFL
games and he sells 72 pizzas. What is the percent change and is it an increase or
decrease?
Answer:
60% increase
Step-by-step explanation:
The formula for percent change: new value-old value and divide this by the old value. Then multiply by 100
So, 72-45=27
27/45=0.6
0.6*100=60
60%
please help with number 13 !
Answer:
Look at Attached image.
Step-by-step explanation:
Shade 3/10 in the column then 9/10 in the row.
The answer is how much is cross shaded with both colors.
Here , we are given with a square which has 100 small squares in it , now we have to use two colours to represent 0.3 × 0.9 on it . So , now let's proceed :-
[tex]{:\implies \quad \sf \dfrac{3}{10}\times \dfrac{9}{10}}[/tex]
[tex]{:\implies \quad \sf \dfrac{27}{100}}[/tex]
Now , here , we have to colour 27 boxes with a colour and the left (100-27) = 73 boxes with another colour . Colour can be any of your choice
Refer to the attachment for better understanding too :D
Please help???????????????
Answer:
A
Step-by-step explanation:
if you dont feel right dont pick my answer
Find the area of the composite figure 7 cm 4 cm 7 cm 4 cm
Answer:
784 cm
Step-by-step explanation:
7 x 7 = 49
4 x 4 = 16
49 x 16 = 784
The point P(0.25,12) lies on the curve y=3/x . Let Q be the point (x,3/x).
a.) Find the slope of the secant line PQ for the following values of x.
If x=0.35, the slope of PQ is:
If x=0.26, the slope of PQ is:
If x=0.15, the slope of PQ is:
If x=0.24, the slope of PQ is:
b.) Based on the above results, guess the slope of the tangent line to the curve at P(0.25,12).
can you help me with this question
Answer:
1. 8.6
2. 8.4
4. 206.3
Step-by-step explanation:
charlie wakes up in the night and looks at his 12-hours digital watch. The time he sees can be read as three-digit number. He remarks:' the digits add to six and , if you divide the number by six, the answer is a prime.' what time could it be ?
Answer:
mwuahhh live u
Step-by-step explanation:
I don't think that the pets have been able and have been in a situation like that since the first day when they were
PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST
Answer:
A
Step-by-step explanation:
A rational number that doesn't go on forever. Like Pi, that is not a rational number. But, 2.3 would be a rational number.
72/100 = .72 which is a rational number
Like I said before Pi goes on forever so it is NOT a rational number.
1 1/3. One is a rational number but 1/3 is o.3 with the 3 repeating forever. So it WOuld NOT be a rational number.
8/526 has numbers that go on forever so it would NOT be a rational number.
0.212212221 goes on forever. The three dots (...) signal that the decimal goes on. SO it would NOT be a rational number.
5/9= 0.555555555555555555555... the 5 goes on forever making it NOT a rational number.
SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME WITH THIS PROBLEM PLS!!!!!
Find the maximum(s), minimum(s), interval(s) of increasing, interval(s) of decreasing, end behavior and symmetry for the function f(x)=x^4-8x^2+16.SOMEONE HELP ME
Answer:
Step-by-step explanation:
f(x) = x⁴ - 8x² + 16
f'(x) = 4x³ - 16x = 4(x³ - 4x) = 4x(x² - 4) = 4x(x - 2)(x + 2)
f'(x) = 0, x = 2, -2
f"(x) = 4(3x² - 4)
f''(0) = -16 < 0, f""(2) = f''(-2) 3(12 - 4) > 0
so f(2) and f(-2) are minimum values
f(0) is maximum value.
f(0) = 16, f(2) = f(-2) = 2⁴ - 8*2² + 16 = 0
Maximum = 16, minimum value = 0
-∞ < x < -2, f'(x) < 0
-2 < x < 0, f'(x) > 0
0 < x < 2, f'(x) < 0
2 < x < ∞, f(x) > 0
increase: (-2, 0) and (2, ∞)
decrease: (-∞, -2) and (0, 2)
Susan received grades of 78,93, 82 and 76 on four math exams . what is the lowest grade she can receive on her next math exam and have an average of a lease 85 on the five exams?
=========================================================
Explanation:
x = score on the fifth exam
The set {78,93,82,76,x} sums to 78+93+82+76+x = 329+x
Divide this over 5 since we have five total scores
(329+x)/5
That fraction represents the final average grade
Susan wants this average to be at least 85
[tex]\text{average} \ge 85\\\\\frac{329+x}{5} \ge 85\\\\329+x \ge 5*85\\\\329+x \ge 425\\\\x \ge 425-329\\\\x \ge 96\\\\[/tex]
Therefore, Susan must get a 96 or higher on the next exam if she wants to aim for the average to be 85 or larger.
In other words, the lowest grade she can get is a 96
The area of a square is 900cm, Find the perimeter
Answer:
3600
Step-by-step explanation:
the formula to find the area of a square is:
A=a2
the formula to find the perimeter of a square is:
P=4a
hope that helps
Answer:
30 cm
Step-by-step explanation:
we know that the area of a square is axa (a side)
that is a^2
a^2 = 900
prime factorization of 900 = 2x3x5
=30 cm
( verification ) axa = 30x30 ='900
perimeter = 4x side
side=30
=30x4
=120 cm
therefore ans done
jayden is 8 years old and his brother Andy is 7 years younger when Jayden is 20 years old how old will Andy be?
Answer:13
Step-by-step explanation Jayden is 8 Andy has to be 1. Jayden is 20 Andy is 7 years younger so the answer would be 13
A box contains ten slips of paper numbered 1 through 10. Find the
probability and describe the likelihood of each event.
a. Choosing a number greater than 2
b. Choosing a number that is a multiple of 2
c. Choosing a number that is less than 10
Answer:
a - 4/5
b - 1/2
c - 9/10
Step-by-step explanation:
1 2 3 4 5 6 7 8 9 10
8/10 4/5
5/10 1/2
Find the slope for the following pair of points:
(-14,3) and (-3, 0)
Answer:
slope = - [tex]\frac{3}{11}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 14, 3 ) and (x₂, y₂ ) = (- 3, 0 )
m = [tex]\frac{0-3}{-3-(-14)}[/tex] = [tex]\frac{-3}{-3+14}[/tex] = - [tex]\frac{3}{11}[/tex]
Answer:
The slope is M= -3/11 (M= Negetive three over eleven)
Step-by-step explanation:
Freddy wants to buy a bicycle.
He can either make 12 payments of $88 or a single payment of $780.
How much money will he saved if he buys the bike in a single payment
Answer:
$276
Step-by-step explanation:
in h.p he would pay 12*88= 1056
amount saved = 1056-780= 276
Freddy would save $276 if he buys the bike in a single payment instead of making 12 monthly payments of $88.
To calculate how much money Freddy will save by buying the bike in a single payment, we need to compare the total amount he would pay in each scenario.
If he makes 12 payments of $88, the total amount paid over the 12 months would be:
Total amount = 12 payments × $88 = $1056
If he makes a single payment of $780, that would be the total amount paid.
To calculate the savings, we subtract the total amount of the single payment from the total amount of the monthly payments:
Savings = Total amount of monthly payments - Total amount of single payment
Savings = $1056 - $780
Savings = $276
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Find the mean, median, mode, and for this set of numbers:
20, 6, 18, 15, 18, 15, 6
Answer:
mean: 14
median: 15
mode: 6, 15, 18
Step-by-step explanation:
For the mean, you add up all the numbers and divide by the number of numbers there are. There are 7 numbers here, so add and divide by 7.
For the median, you line the numbers up from least to greatest.
6, 6, 15, 15, 18, 18, 20
and find the middle number, which is 15.
For the mode, you have to find the number that repeats the most. For this set of numbers, it's 15, 18, and 6. Hope that helps!
Answer:
Mean = 14
Median = 15
Mode = 6, 18, 15
Step-by-step explanation:
I really hope this helps you. I worked these out however I looked up and did research. I checked out the website too. Check out (calculator soup)
It gives you the answers and explains all the steps.
If A and B are events with P(A)=0.7, P(A OR B)=0.77, and P(A AND B)=0.13, find P(B).
Answer:
P(B) = 0.20
Step-by-step explanation:
For these events, which are not independent or mutually exclusive, the relation between the various probabilities is ...
P(A or B) = P(A) +P(B) -P(A and B)
Solving for P(B), we find ...
P(B) = P(A or B) +P(A and B) -P(A)
P(B) = 0.77 +0.13 -0.7 = 0.20
The probability of B is 0.20.
__
Additional comment
The formula applies to independent and mutually exclusive events, as well. For independent events, P(A and B) = P(A)·P(B). For mutually exclusive events, P(A and B) = 0.
Tomás found the area of a rectangle to be 1/6 square inch. Which could be the sidelengths of the rectangle?
A) 1/4 inch and 2/3 inch
B) 1/3 inch and 1/3 inch
C) 1/6 inch and 1/6 inch
D) 1/2 inch and 1/12 inch
Explanation:
area = length*width
area = (1/4)*(2/3)
area = (1*2)/(4*3)
area = 2/12
area = 1/6 of a square inch
This confirms that choice A is a correct set of dimensions to lead to an area of 1/6 of a square inch.
Choice B leads to (1/3)*(1/3) = 1/9 which means we can rule it out.
Choice C leads to 1/36 and choice D leads to 1/24.
Pls help I need help
Answer:
10x + 2
Step-by-step explanation:
lim f(x + h) - f(x) / h = f'(x) = (5x² + 2x)' = 10x + 2
h→0
Examine the system of equations.
6x + y = −30,
36x + 6y = 24
Which statement is true about the system of equations?
A) After solving this system, you get a true statement.
B) This system has one solution.
C) If this system were graphed, the lines would be parallel.
D) The equations in this system have the same y-intercept.
Answer:
answer is c
Step-by-step explanation:
An algebraic equation that is in the form of y= mx + b having only a constantand a first-order term is called a linear or system equation. Where m is the slope and b is the y-intercept.Given equations are and .Let reframe these equations into the standard form. and and The above system equation shows that the slop of both the lines will be the same. Hence both the lines will be parallel to each other.Hence we can conclude that statement C will be true about the given system equations.
Answer:
C is a true statement
*View the attached graph*
Step-by-step explanation:
6x + y = −30 and 36x + 6y = 24
6x + y = −30
-6x -6x
y = -6x - 30
36x + 6y = 24
-36x -36x
6y = -36x + 24
[tex]\frac{6y}{6} =\frac{-36x+24}{6}[/tex]
y = -6x + 4
If this system were graphed, the lines would be parallel.
Hope this helps!
John has 24 red marbles and 20 blue. What is the ratio of John's red marbles to blue?
Answer:
24:20 or reduced to 6:5
Step-by-step explanation:
If you divide both numbers by four you get 6:5.
Hope this helps!
A cup of 205° coffee on a table in a 72° room loses approximately 15% of its temperature every minute until it reaches room temperature. The resulting exponential model for the temperature, t, after m minutes can be approximated by the model t = 133(0.85)m + 72.
What is the temperature after 22 minutes?
The temperature after 22 minutes is 75.75 degrees
Equations and exspressionsGiven the resulting exponential model for the temperature, t, after m minutes can be approximated by the model t = 133(0.85)^m + 72.
If the time used is 22 minutes, the required temperature dring this time is expressed as:
t = 133(0.85)^22 + 72
t = 3.725 + 72
t = 75.75
Hence the temperature after 22 minutes is 75.75 degrees
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