Answer:
The probability is 0.003
Step-by-step explanation:
If 62% prefers Batman, the percentage that prefers Iron man will be (100-62)% = 38%
So the probability of finding a teenager that likes batman will be 62/100 = 0.62
The probability of finding a teenager that prefers iron man will be 38/100 = 0.38
Now, we want to find the probability that out of 50 people at Walmart on a Sunday, exactly 40 prefers Batman
We can use the Bernoulli approximation of the binomial theorem ;
let probability of liking Batman be q and that of iron man be q
Thus the approximation will be;
P(X = 40) = 50 C 40 (0.62)^40 (0.38)^10
= 0.003200147531
To the nearest thousandth, this is 0.003
is the perimeter 70?
Answer:
Step-by-step explanation:
AC = 8 + 15 = 23
C to the tangent point of BC = 15 (tangents are equal when they come from the same point.
B to the tangent point of BC = 12 (same reason).
BC = 15 + 12 = 27
By a similar argument BA = 12 + 8 = 20
So add them together. 20 + 27 + 23 = 70 I think.
You are absolutely right. Or we both are wrong.
Solve the equation: 5.1 - 7x = 9.1
Answer:
Order summands
2
Subtract
5
.
1
5.1
5.1
from both sides of the equation
3
Simplify
4
Divide both sides of the equation by the same term
5
Simplify
Step-by-step explanation:
What types of angles are shown in the image above
Answer:
Alternate interior angles, congruent, and supplementary
Step-by-step explanation:
They are on the opposite sides of the graph, but still located inside
Answer:
alternate exterior angles
Help me please :( math scatter plot
You only have nickels and dimes in your piggy account. The total comes to 595 cents. What are the three combinations of nickels and dimes you could have?
Answer:
59 dimes and 1 nickel
54 dimes and 11 nickels
1 dime and 117 nickels
Step-by-step explanation:
i know this from using the equation [tex]5n+10d=595[/tex] the n is nickels and the d is dimes
dtermine the slope of the line (9,-8) (3,4)
Answer:
The answer is -2
Step-by-step explanation:
Find the product.
[tex](b-9)(b+9)[/tex]
Which step is needed to finish the equivalent expression?
5m-m+7-m-4=
5m-m-m+7-4=
(5-1-1) m+ 3 =
O Use the addition property to simplify the terms inside the parentheses.
Use the associative property to simplify the terms in the parentheses.
Use the commutative property to simplify the terms in the parentheses.
Use the distributive property to simplify the terms in the parentheses.
PLZ help I will give brainliest
Answer:
A
Step-by-step explanation:
did it on edge
Answer:
Step-by-step explanation:
A bakery sells 8 lemon poppy muffins for every 1 bran muffin sold. Which table represents the relationship between lemon poppy and bran muffins?
A
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
88 11
1616 99
3232 2525
B
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
2424 33
2626 55
2828 77
C
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
2424 33
4040 55
5656 77
D
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
88 11
2424 44
4040 66
please answer the question im sturggling .
Answer:
A 1
Step-by-step explanation:
8x11=88
1x11=11
A car travels 30.5 miles in of an hour. What is the average speed, în miles per hour
of the car?
Answer:
rounded to the nearest hundredth its 46.21
Step-by-step explanation:
trust im smart
Divide the product of 6 and 5 by the quotient of 12 and 4
pls help! what is the expression??
Answer:
Let variable y be the unknown number. So triple a number means 3y. The difference (use minus symbol) of triple a number and 5 should be written as 3y −5.
Answer:
the product of 6 and 5 is 30. the quotient of 12 and 4 is 3. so, divide 30 by 3. your answer is 10!
Step-by-step explanation:
Have a great day!
Question 5 of 10 If f(x) = 4x - 12, what is f(2)? h O A. -20 O B. 8 O c. -4 O D. 4 SUE
Answer:
-4
Step-by-step explanation:
what is 0.000000003 in a standard form
The expression is already in decimal form.
0
3×10^9
A business breaks even when the production costs are equal to the revenue. The expression 120+4x represents the cost of producing x items. The selling price is $5 for each item. Write an expression for the revenue generated by selling x items. How many items would you need to sell to break even? Write an equation and solve it.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
The expression 120+4x represents the cost of producing x items. The selling price is $5 for each item.
The net income formula:
y= (5 - 4)x - 120
(5-4)= contribution margin per unit sold (x)
120= fixed costs
To calculate the break-even point in units, we need to use the following formula:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 120 / 1
Break-even point in units= 120 units
Prove:
y= 1*120 - 120
y= 0
can anyone plz answer this question now?
Answer:
58
Step-by-step explanation:
Step-by-step explanation:
AD=DC
So angle A is equal to angle C
Let Angle A be x
And angle ABD is equal to 90 degree
So in triangle ADB
90+32+x=180 (angle sum property)
x=180-122
x=58
As angle A and angle C are equal
So angle C=58 degrees
Hope it helps
Which statement is modeled by 2p + 5 < 11
Group of answer choices
The sum of 5 and 2 times p is at least 11
5 added to the product of 2 and p is less than 11
2 times p plus 1 is at most 11
the product of 2 and p added to 5 is 11
Please help me out!
Answer:
7
Step-by-step explanation:
7+3=10
Choose the value that breaks this gem into 10 equal pieces
Answer:
the block with '10%'
The whole is 100% and 10% divided by 10 is 10%
4. Parker has saved $1,200 for him and his
wife to go to an all-inclusive island resort.
He decides to take out a $1,000 simple
annual interest loan at 4.5% for 1 year
and stay in a suite. Is Parker being
financially responsible or financially
irresponsible? What is the monetary value
of his benefit or cost?
Answer:
To be honest i dont even know
Step-by-step explanation:
ummmm
Lina and Josh each made a factor tree to find the prime factorization of 126. Lina's Solution Josh's Solution 2 factor trees. Alina's factor tree of 126. 126 branches to 3 and 42. 42 branches to 6 and 7. 6 branches to 2 and 3. The equation is 126 = 2 times 3 squared times 7. Josh's factor tree of 126. 126 branches to 2 and 63. 63 branches to 9 and 7. The equation is 126 = 2 times 7 times 9. Which statement explains the accuracy of the students' work? Lina's solution is correct because it expresses 126 as a product of prime factors. Josh's solution is correct because the factor tree of every even number must begin with 2 and its factor pair. Both solutions are correct because they both express 126 as a product of factors. Neither solution is correct because the factor tree should have begun with 6 and 21.
Answer:
Lina's solution is correct because it expresses 126 as a product of prime factors.
Step-by-step explanation:
Prime factorization can be defined as a methodology of breaking down an original number down into the set of prime numbers which when multiplied together give us the original number.
Prime factorization makes use of a factor tree
The number we are to carry out prime factorization on is 126
126
/\
3 42
/\
6 7
/\
2 3
The Prime Factorization is:
2 x 3 x 3 x 7
Hence, Lina's factor tree of 126. 126 branches to 3 and 42. 42 branches to 6 and 7. 6 branches to 2 and 3. The equation is 126
= 2 times 3 squared times 7.
Is correct.
Answer:A ..Lina’s solution is correct because it .....
Step-by-step explanation: Her expression express is 126 as a product of prime factors .. Your welcome!!!
12(x−13)=13(12−x) x=?
Answer:
x = 12.48
Step-by-step explanation:
Simplifying
12(x + -13) = 13(12 + -1x)
Reorder the terms:
12(-13 + x) = 13(12 + -1x)
(-13 * 12 + x * 12) = 13(12 + -1x)
(-156 + 12x) = 13(12 + -1x)
-156 + 12x = (12 * 13 + -1x * 13)
-156 + 12x = (156 + -13x)
Solving
-156 + 12x = 156 + -13x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '13x' to each side of the equation.
-156 + 12x + 13x = 156 + -13x + 13x
Combine like terms: 12x + 13x = 25x
-156 + 25x = 156 + -13x + 13x
Combine like terms: -13x + 13x = 0
-156 + 25x = 156 + 0
-156 + 25x = 156
Add '156' to each side of the equation.
-156 + 156 + 25x = 156 + 156
Combine like terms: -156 + 156 = 0
0 + 25x = 156 + 156
25x = 156 + 156
Combine like terms: 156 + 156 = 312
25x = 312
Divide each side by '25'.
x = 12.48
Simplifying
x = 12.48
Answer:
x=72±2180313=72±21803√13
Step-by-step explanation:
Please Help Me!!!! :)
Answer:
$28
Step-by-step explanation:
S = Shirt N = Shoes
N = S + 17
N is equal to 45
45 = S + 17
S = 28
URGENT PLEASE HELP !! which two ratios represent quantities that are proportional
the table models the linear relationship between the calories marcy burned and the time she spent on the bicycle. what is the rate of change of the calories marcy burned with respect to time
What's the smallest number divisible by 1-11?
Simplify 2 + 17x - 5x + 9
Answer:
12x + 11
Step-by-step explanation:
Combine like terms
Answer:
B. 12x + 11 :)
Step-by-step explanation:
which number line represents the solutions to absolute value of -2x=4
Answer:
poop
Step-by-step explanation:
i really need help please
Answer:look at step by step
Step-by-step explanation:how do I post questions and I’ll help you
Answer:
∠ A = 60°
Step-by-step explanation:
Using the sine ratio in the right triangle
sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{13}{15}[/tex] , thus
∠ A = [tex]sin^{-1}[/tex] ( [tex]\frac{13}{15}[/tex] ) ≈ 60°
------------------------------------------------
Using the cosine ratio in the right triangle
cosR = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{RT}{RS}[/tex] = [tex]\frac{8}{10}[/tex] , thus
∠ R = [tex]cos^{-1}[/tex] ( [tex]\frac{8}{10}[/tex] ) ≈ 36.9° ( to 1 dec. places )
What is the value of x in the figure below? In this diagram, ΔABD ~ ΔCAD.
Answer:
D
Step-by-step explanation:
The triangles CDA and ADB are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{CD}{AD}[/tex] = [tex]\frac{DA}{DB}[/tex] , substitute values
[tex]\frac{13}{x}[/tex] = [tex]\frac{x}{3}[/tex] ( cross- multiply )
x² = 39 ( take square root of both sides )
x = [tex]\sqrt{39}[/tex] → D
Answer:
D is the answer
Step-by-step explanation:
The balance owed on your credit card triples from $700 to $2100 in 12 months. If the balance is growing linearly then it would take 45.4 months to reach $6000. If, on the other hand, the balance is growing exponentially, f(x)=700(1+0.096)x where x represents the number of months, what would the balance be after 45.4 months? Round your answer to the nearest cent.
Answer:
If the balance is growing exponentially the balance after 45.4 months will be $44,925.94.
Step-by-step explanation:
The exponential growth equation is:
[tex]f(x)=700(1+0.096)^{x}[/tex]
Compute the value of f (x) for x = 45.4 as follows:
[tex]f(x)=700(1+0.096)^{x}[/tex]
[tex]=700(1+0.096)^{45.4}\\\\=700\times (1.096)^{45.4}\\\\=700\times 64.1799181\\\\=44925.94267\\\\\approx 44925.94[/tex]
Thus, if the balance is growing exponentially the balance after 45.4 months will be $44,925.94.