Which expression is equivalent to 2(3 - x) - 12 + 4x
1. 3x - 6
2. 3x - 7
3. 2x - 6
4. 2x - 7
Answers
Related Questions
A growth-mindset researcher plans to take an SRS of 200 teenagers from the population of teenagers in North America to see what proportion of teenagers sampled are pursuing a goal they have set for themselves. Suppose that 75% of teenagers in North America are pursuing a goal they have set for themselves. Let p represent the proportion of a sample of 200 teenagers in North America who are pursuing a goal they have set for themselves. What are the mean and standard deviation of the sampling distribution of p?
Answers
Answer:
The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.
Step-by-step explanation:
Central Limit Theorem:
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
75% of teenagers in North America are pursuing a goal they have set for themselves.
This means that [tex]p = 0.75[/tex]
Sample of 200.
This means that [tex]n = 200[/tex].
What are the mean and standard deviation of the sampling distribution of p?
By the Central Limit Theorem
Mean [tex]\mu = p = 0.75[/tex]
Standard deviation [tex]s = \sqrt{\frac{0.75*0.25}{200}} = 0.0306[/tex]
The mean of the sampling distribution of p is 0.75 and the standard deviation is 0.0306.
Weary of the low turnout in student elections, a college administration decides to choose an SRS of three students to form an advisory board that represents student opinion. Suppose that 48% of all students oppose the use of student fees to fund student interest groups, and that the opinions of the three students on the board are independent. Then the probability is 0.48 that each opposes the funding of interest groups.Call the three students A, B, and C. Give the probability of each possible outcomes (AcBcCc are the events that the students support the student fee usage).Pr(ABC) = _____Pr(ABCc) = _____Pr(ABcC) = _____Pr(AcBC) = _____Pr(ABcCc) = _____Pr(AcBCc) = _____Pr(AcBcC) = _____Pr(AcBcCc) = _____
Answers
Answer:
[tex]P(ABC) = 0.110592[/tex]
[tex]P(ABC^c) = 0.119808[/tex]
[tex]P(AB^cC) = 0.119808[/tex]
[tex]P(A^cBC) = 0.119808[/tex]
[tex]P(AB^cC^c) = 0.129792[/tex]
[tex]P(A^cBC^c) = 0.129792[/tex]
[tex]P(A^cB^cC) = 0.129792[/tex]
[tex]P(A^cB^cC^c) = 0.140608[/tex]
Step-by-step explanation:
Given
[tex]P(A) = P(B) = P(C) = 48\%[/tex]
Convert the probability to decimal
[tex]P(A) = P(B) = P(C) = 0.48[/tex]
Solving (a): P(ABC)
This is calculated as:
[tex]P(ABC) = P(A) * P(B) * P(C)[/tex]
This gives:
[tex]P(ABC) = 0.48*0.48*0.48[/tex]
[tex]P(ABC) = 0.110592[/tex]
Solving (b): [tex]P(ABC^c)[/tex]
This is calculated as:
[tex]P(ABC^c) = P(A) * P(B) * P(C^c)[/tex]
In probability:
[tex]P(C^c) = 1 - P(C)[/tex]
So, we have:
[tex]P(ABC^c) = P(A) * P(B) * (1 - P(C))[/tex]
[tex]P(ABC^c) = 0.48 * 0.48 * (1 - 0.48)[/tex]
[tex]P(ABC^c) = 0.48 * 0.48 * 0.52[/tex]
[tex]P(ABC^c) = 0.119808[/tex]
Solving (c): [tex]P(AB^cC)[/tex]
This is calculated as:
[tex]P(AB^cC) = P(A) * P(B^c) * P(C)[/tex]
[tex]P(AB^cC) = P(A) * [1 - P(B)] * P(C)[/tex]
[tex]P(AB^cC) = 0.48 * (1 - 0.48)* 0.48[/tex]
[tex]P(AB^cC) = 0.48 * 0.52* 0.48[/tex]
[tex]P(AB^cC) = 0.119808[/tex]
Solving (d): [tex]P(A^cBC)[/tex]
This is calculated as:
[tex]P(A^cBC) = P(A^c) * P(B) * P(C)[/tex]
[tex]P(A^cBC) = [1-P(A)] *P(B) * P(C)[/tex]
[tex]P(A^cBC) = (1 - 0.48)* 0.48 * 0.48[/tex]
[tex]P(A^cBC) = 0.52* 0.48 * 0.48[/tex]
[tex]P(A^cBC) = 0.119808[/tex]
Solving (e): [tex]P(AB^cC^c)[/tex]
This is calculated as:
[tex]P(AB^cC^c) = P(A) * P(B^c) * P(C^c)[/tex]
[tex]P(AB^cC^c) = P(A) * [1-P(B)] * [1-P(C)][/tex]
[tex]P(AB^cC^c) = 0.48 * [1-0.48] * [1-0.48][/tex]
[tex]P(AB^cC^c) = 0.48 * 0.52*0.52[/tex]
[tex]P(AB^cC^c) = 0.129792[/tex]
Solving (f): [tex]P(A^cBC^c)[/tex]
This is calculated as:
[tex]P(A^cBC^c) = P(A^c) * P(B) * P(C^c)[/tex]
[tex]P(A^cBC^c) = [1-P(A)] * P(B) * [1-P(C)][/tex]
[tex]P(A^cBC^c) = [1-0.48] * 0.48 * [1-0.48][/tex]
[tex]P(A^cBC^c) = 0.52 * 0.48 * 0.52[/tex]
[tex]P(A^cBC^c) = 0.129792[/tex]
Solving (g): [tex]P(A^cB^cC)[/tex]
This is calculated as:
[tex]P(A^cB^cC) = P(A^c) * P(B^c) * P(C)[/tex]
[tex]P(A^cB^cC) = [1-P(A)] * [1-P(B)] * P(C)[/tex]
[tex]P(A^cB^cC) = [1-0.48] * [1-0.48] * 0.48[/tex]
[tex]P(A^cB^cC) = 0.52 * 0.52 * 0.48[/tex]
[tex]P(A^cB^cC) = 0.129792[/tex]
Solving (h): [tex]P(A^cB^cC^c)[/tex]
This is calculated as:
[tex]P(A^cB^cC^c) = P(A^c) * P(B^c) * P(C^c)[/tex]
[tex]P(A^cB^cC^c) = [1-P(A)] * [1-P(B)] * [1-P(C)][/tex]
[tex]P(A^cB^cC^c) = [1-0.48] * [1-0.48] * [1-0.48][/tex]
[tex]P(A^cB^cC^c) = 0.52*0.52*0.52[/tex]
[tex]P(A^cB^cC^c) = 0.140608[/tex]
Halla el FCM de 44 y 88 usando factorización prima.
Answers
88
tiene como factores a
2
2
y
44
44
.
2
⋅
44
2
⋅
44
44
44
tiene como factores a
2
2
y
22
22
.
2
⋅
2
⋅
22
Amani is trying to find the value of the 4th coefficient in the 10th row of Pascal's Triangle. Which of the following could be the binomial that Amani is trying to expand?
Answers
Answer:
Step-by-step explanation:
all of the numbers in the nth row are coefficients in the expansion of (a+b)^n
Answer:
(2x+3)10!
Step-by-step explanation:
Trayvion measured his basketball rim. The radius of the rim is \large 7\frac{1}{2} inches. What is the circumference of the rim?
a
176.6 inches
b
47.10 inches
c
23.55 inches
d
6.5 inches
Answers
Answer:
(b) 47.10 inch.
Step-by-step explanation:
C = 2πr
C ≈ 2 × 3.14 × 7.5 = 47.1 inches
Previous balance: $1,221.35; payment: $300; new purchases: $25.90 and$18.53; periodic rate: 1.75%
Answers
Answer:
1478.67
Step-by-step explanation:
Write an expression equivalent to the one below
-2m-8+4(3m-9)
Answers
Answer:
Step-by-step explanation:
Distribute the 4 into the parentheses.
[tex]-2m-8+12m-36[/tex]
Combine like terms
[tex]10m-44[/tex]
Answer:
10m - 44
Step-by-step explanation:
Apply the distributed property: 12m - 36Re-write expression: -2m - 8 + 12m - 36-2m + 12m = 10m8 + 36 = 44Put them together: 10m - 44I hope this helps!
Please help geomtry!
Answers
Answer:
13
Step-by-step explanation:
By angle bisector property:
[tex] \frac{28}{49} = \frac{12}{2x + 7 - 12} \\ \\ \frac{4}{7} = \frac{12}{2x - 5} \\ \\ 4(2x - 5) = 12 \times 7 \\ \\ 8x - 20 = 84 \\ \\ 8x = 84 + 20 \\ \\ 8x = 104 \\ \\ x = \frac{104}{8} \\ \\ x = 13[/tex]
Is 3.5 and 3.55 a equivalent decimal?
Answers
Geometry help please
Answers
Answer:
the pink triangle is the answer, just know that each 90° will be the next quadrant.
Twelve people waited more than 45 minutes.
How many people waited between 10 and 30 minutes?
Answers
12/24 = 0.5
10-30 = 44 squares
44 x 0.5 = 22
A tree casts a 16-foot-long shadow on level ground. A forestry student uses a clinometer to determine that the sun is at a 70° angle of elevation.
What is the height of the tree to the nearest whole foot?
Use the on-screen keyboard to enter the number in the box below.
Answers
Answer:
Tree is [tex]43.84[/tex] feet tall
Step-by-step explanation:
Shadow casted by tree [tex]= 15[/tex] feet
Angle of elevation of sun [tex]= 70[/tex] degrees
Tangent of angle of elevation is equal to the ration of height of tree and its shadow
tan [tex]70 = \frac{t}{16}[/tex]
Height of the tree is equal to [tex]16 *[/tex] tan [tex]70[/tex]
Height of the tree [tex]= 16 * 2.74 = 43.84[/tex] feet
A)180.48 m2
B)180.48 m
C)80.48 m2
D)80.48 m
Answers
Answer:
80.48m2
Step-by-step explanation:
I think this is right but it may be wrong.
A standard fair dice is rolled twice.
What is the probability of getting an even number on the first roll and any prime number on the other?
Answers
Write formulas for the following mathematical statement.
The difference between the selling price and cost price is profit.
(1 Point)
profit=S.P-C.P
profit=S.P+C.P
profit=C.P-S.P
profit=C.P+S.P
Answers
Answer:
[tex]Profit = SP - CP[/tex]
Step-by-step explanation:
Given
[tex]S.P = Selling\ Price[/tex]
[tex]C.P = Cost\ Price[/tex]
Required
Represent the profit, mathematically
The profit is the difference between SP and CP.
This is represented as:
[tex]Profit = SP - CP[/tex]
Suppose $5000 is invested at 5.25% annual interest, compounded continually.
What will be the
amount in the account in 7 years if no money is withdrawn?
$2609.00
$7220.60
$5000.00
$5269.51
Answers
Answer:
I am sure that it is $7220.60
Step-by-step explanation:
If you invested in 5000 you would have that much in your account to withdraw
hope this works for you
Classify the following triangle. Check all that apply.
7
9
11.4
A. obtuse
B. scalene
C. right
D. isosceles
E. acute
F equilateral
Answers
Answer:
E. Acute
Step-by-step explanation:
Hope it helps
As we see there is a right angle marked in the top. We also know that the sides are different lengths, making it scalene.
which point on the scatter plot represents the outlier ?
Answers
Answer:
The point that represents the outlier is “B”
Step-by-step explanation:
I know it because I just did it and got it right. Hope it helps!
Answer:
B
Step-by-step explanation:
I know because i got it correct
13) Find the values of x and y.
Answers
Answer:
x = 64°
y = 71°
Step-by-step explanation:
✔️x = 180 - 2(58) (isosceles triangle)
x = 180 - 116
x = 64°
✔️y + 45° + x = 180° (angles on a straight line)
y + 45° + 64° = 180° (substitution)
y + 109 = 180°
y = 180° - 109°
y = 71°
There are 10 years in 1 decade. Deron is 2 decades, 4 years, and 8 months old. His brother John is half as old. How old is John?
Answers
Answer:
John is 1 decade, 2 years, and 4 months old
Step-by-step explanation:
Since we knot that John is half as old we just have to divide Derons age by two, and we will do that by dividing the number of decades, a number of years, and a number of months by two, and so we get that John is...
(2/2) decades, (4/2) years, and (8/2) months old =
= 1 decades, 2 years, and 4 months old
John is 1 decades, 2 years, and 4 months years old.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
There are 10 years in 1 decade.
And, Deron is 2 decades, 4 years, and 8 months old.
Since, His brother John is half as old.
Hence, Age of John is,
⇒ (2 decades, 4 years, and 8 months) / 2
⇒ 1 decades, 2 years, and 4 months
Thus, John is 1 decades, 2 years, and 4 months years old.
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ3
solve the equation
0.2 = -20a
Answers
Answer:
a=-0.01
Step-by-step explanation:
Divide by -20 on both sides:
0.2/-20=-20a/-20
which will be:
-0.01=a
Answer:
a=−0.01
Step-by-step explanation:
HELP ME PLEASE
What is the value of the expression 9 + StartFraction n Over 3 EndFraction minus 6 when n = 12?
1
5
7
12
Answers
Answer:
[tex]9 + \frac{n}{3} - 6 = 7[/tex]
Step-by-step explanation:
Given
[tex]9 + \frac{n}{3} - 6[/tex]
Required
Evaluate when n = 12
Substitute 12 for n in [tex]9 + \frac{n}{3} - 6[/tex]
[tex]9 + \frac{n}{3} - 6 = 9 + \frac{12}{3} - 6[/tex]
Simplify the fraction
[tex]9 + \frac{n}{3} - 6 = 9 + 4 - 6[/tex]
[tex]9 + \frac{n}{3} - 6 = 7[/tex]
Your answer is 7,
Known:n=12
So 12/3
First, we need to simplify 12/3
To simplify this, all we need to do is divide 12 by 3
12÷3=4
3 goes into 12 4 times.
So now our eqation is
9+4-6
9+4 is 13
13-6 is 7
Hope this helps
~`Learning with Natalia`~
Simplify the expression by combining like terms 18z +9z
Answers
Answer:
z(18+9)=z*27=27z
Step-by-step explanation:
Answer:
(18+9)*z=27z
Step-by-step explanation:
Cirrus clouds form more than 6,000 meters above earth. Write an inequality to represent h, the height in meters, of cirrus clouds.
(Remember, you need to hold Shift to get the inequality symbols on your keyboard.)
If you did not read carefully, you must use h as the variable in your inequality, or it will be marked incorrect. Plssss help!! 20 points1!!!
Answers
Answer:
no lo se no se mucho de ingles
Step-by-step explanation:
lo siento
Find the y-intercept of a line parallel to 8x – 2y = 12 and passes through the point (5, 3).
Answers
Answer:
-17
Step-by-step explanation:
8x -2y= 12
Divide the whole equation by 2:
4x -y= 6
Rewrite the equation into the slope-intercept form (y=mx+c, where m is the gradient while c is the y-intercept).
-y= -4x +6
y= 4x -6
Thus, gradient of given line= 4.
Since parallel lines have the same gradient, gradient of line= 4.
y= 4x +c
To find the y-intercept of the lone, substitute a pair of coordinates.
When x=5, y=3,
3= 4(5) +c
3= 20 +c
c= 3 -20
c= -17
Thus, the y-intercept of the line is -17.
Help with my question please
Answers
Answer:
d
Step-by-step explanation:
explanation:
if you want to solve easy,
5x2=10
5x1/6= 5/6
total: 10 5/6
hope this helps :)
6. Cindy and Sam are 24 miles apart on a path when they start moving
toward each other. Cindy runs at a constant speed of 10 miles per
hour, and Sam walks at a constant speed of 6 miles per hour.
How long does it take until Cindy and Sam meet?
Answers
Answer:
2 hours to meet each other
Step-by-step explanation:
Answer:
1.5
Step by step explanation:
Tamanika received a raise in her hourly pay, from $14.00 to $18.34. Find the percent change.
Answers
what is the integer -5/12 x -6/35= ?
Answers
Step-by-step explanation:
[tex]( - \frac{5}{12} )( - \frac{6}{35}) \\ = ( \frac{5}{12} )( \frac{6}{35} ) \\ = ( \frac{5}{35} )( \frac{6}{12} ) \\ = ( \frac{1}{7} )( \frac{1}{2} ) \\ = \frac{1}{14} [/tex]
If an object goes from 50 mph to 30 mph in 5 seconds, what is its acceleration?
WILL MARK BRAINLIEST!
Answers
Answer:
-4 mph/sec
Step-by-step explanation:
Answer: -4 mph/s
Step-by-step explanation:
Remember the formula:
FinalVelocity = InitialVelocity + (acceleration)(time)
50 = 30 + (a)(5)
a = (30 - 50)/5
a = -4 mph/s