The original price of the toy is p.
An easier way to understand this problem is : The original price is 1, or 100%. Now, it's reduced by 15%, so the new price is 100% - 15% = 85%.
85% can be converted to 0.85, or 85/100. Therefore, the answer is 0.85p
the probability of buying a movie ticket with a popcorn coupon is 0.597 and without a popcorn coupon is 0.403. if you buy 18 movie tickets, we want to know the probability that no more than 13 of the tickets have popcorn coupons
The probability that no more than 13 of the tickets have popcorn coupons is 0.1114.
It is a binomial distribution "DISCRETE probability distribution that encapsulates the likelihood that a value will take one of two independent values when a particular set of conditions is met. The assumptions for the binomial distribution are that each trial has a single possible outcome, each trial has an equal chance of success, and each trial is independent of the others or mutually exclusive ".
Let X the random variable of interest, on this case we now that:
X ∼ Binom( n = 18, p = 0.97)
The probability mass function for the Binomial distribution is given as:
P( X ) = ( ₙCₓ )(p)ˣ( 1 - p )ⁿ⁻ˣ
Where (ₙCₓ) means combinatory and it's given by this formula:
ₙCₓ = n! / ( n - x )! x!
And we want to find this probability:
P( X = 13 )
And using the probability mass function we got:
P( X = 13 ) = ₁₈C₁₃ ( 0.597 )¹³ ( 1 - 0.597 )¹⁸⁻¹³
P( X = 13 ) = 8568 × 0.00122367561 × 0.01062980336
P( X = 13 ) = 0.11144766975
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Which graph has exactly one x intercept and one y-intercept?
Answer:
B
Step-by-step explanation:
graph A has 1 y- intercept at (0, 1 )
graph B has a y- intercept at (0, 2 ) and an x- intercept at (- 3, 0 )
graph C has an x- intercept at (2, 0 )
graph D has an x- intercept at (2, 0 )
graph B has exactly one x- intercept and one y- intercept
Write the equation in point slope form given m = 4 and ( 1, -2 )
The equation of the line, in point-slope form, that passes through (1, -2) and has a slope of 4 is expressed as: y + 2 = 4(x - 1).
How to Write an Equation in Point-slope Form?The equation of a line in point-slope form is often expressed in the form of y - b = m(x - a), where a point is given as (a, b), and the slope of the line is represented as m.
Given the following:
A point on the line (a, b) = (1, -2)
The slope of the line (m) = 4
To write the equation of the line in point-slope form, substitute m = 4, a = 1, and b = -2 into y - b = m(x - a):
y - (-2) = 4(x - 1)
y + 2 = 4(x - 1) [equation of the line in point-slope form]
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if g(x)=3x+2 find 2g(9)
ANSWER:
The resulting value is 58
STEP-BY-STEP EXPLANATION:
We have the following function
[tex]g(x)=3x+2[/tex]They tell us that x = 9, therefore
[tex]2g(9)=2\cdot(3\cdot9+2)=2\cdot(27+2)=2\cdot29=58[/tex]read the attachment.
Answer:
A
Step-by-step explanation:
convert everything to decimals (numerator divided by denominator).
1 5/6 = 1.83
1.6 = 1.6
1 1/8 = 1.125
1.625
order from greatest to least.
1.83, 1.625, 1.6, 1.125
convert decimals back to fractions
1 5/6, 1.625, 1.6, 1 1/8
If 108 × 137 = 14796, then:
137 × ____ = 14796
Answer:
108
Step-by-step explanation:
Like addition equations, the terms in multiplication equations can be arranged in any way and still return the same result. For example, 2 × 3 = 6, but 3 × 2 also equals 6. The same goes for 108 × 137, which can be written as 137 × 108.
To further confirm this, you can simply divide 14796 by 137, which results in 108.
Answer:
108
Step-by-step explanation:
any 2 numbers multiplied with eachother the answer is always the same. for eg:- 1×2=2 2×1=2
so, if 108 × 137 = 14796
then 137 × 108 = 14796
A scale drawing of a school bus has a scale of 1/2 inch to 5 feet.If the length of the school bus is 4 1/2 inches on the scale drawing, what is the actual length of the bus? Explain or show your reasoning.
The actual length of the bus is 45 feet.
Given that, a scale drawing of a school bus has a scale of 1/2 inch to 5 feet.
What is a scale factor?Scale factor is a number by which the size of any geometrical figure or shape can be changed with respect to its original size.
Here, [tex]4\frac{1}{2} = \frac{9}{2}[/tex]
Let the actual length of the bus be x.
Now, the proportion is
1/2 : 5 :: 9/2 : x
⇒ x/2 = 45/2
⇒ x = 45 feet
Therefore, the actual length of the bus is 45 feet.
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HELLOOO HELPPPPP PLSSSSSSSS HELPPPPPPPPPPPPP
B= 81 sq. ft
B= 9C
Wc= 3 ft
Lc= ?
9C = 81
C = 9
C= L * W
9= L * 3
L = 3 ft
Answer:
3 ft
Step-by-step explanation:
Area of bedroom = 81 ft^2
Arear of closet = Area of bedroom/ 9
= 81/9= 9 ft^2
9= width × length
length = 9÷ width = 9 ÷ 3 = 3
A triangle has sides with lengths of 3 kilometers, 4 kilometers, and 6 kilometers. Is it a right triangle?
What is 7% of 13.40$
how do I solve this?
ONE THE PROPERTIES OF A RHOMBUS STATES THAT ALL SIDES ARE EQUAL MEANING IF AD IS 39cm THRN BC IS ALSO BC SINCE AD=BC
IF SO THEN IN TRIANGLE BEC WE CAN USE THE THEOREM OF PYTHAGORAS TO FIND EC SINCE WE HAVE THE HYPOTENUSE EQUAL TO 39cm AND THE ADJACENT SIDE EB EQUAL TO 15cm
[tex] {ec}^{2} = {bc}^{2} - {eb}^{2} \\ {ec}^{2} = ( {39})^{2} - ( {15})^{2} \\ ec = \sqrt{1521 - 225} \\ ec = \sqrt{1296} \\ ec = 36[/tex]
EC=36 cm
HOPE THIS HELPS
The perimeter of the parallelogram below is 64 in. What is the area? Enter the numerical value only. Do not enter a label.
Answer:
150 square inches
Step-by-step explanation:
In a parallelogram opposite sides are parallel and equal.
Perimeter = sum of all sides
2x + 11 + x + 2x + 11 + x = 64
2x + x + 2x +x + 11 + 11 = 64
Combine like terms,
6x + 22 = 64
6x = 64 - 22
6x = 42
x = 42÷ 6
[tex]\sf \boxed{\bf x = 7}[/tex]
base = 2x + 11
= 2*7 + 11
= 14 + 11
= 25 in
height = 6 in
Area of parallelogram = base * height
= 25 * 6
= 150 square inches
a conctractor purchases 7 dozen pairs of padded work gloves for 103.32 he incorrectly calculates the unit price at 14.76
The correct unit price of a pair of gloves is 1.23
What makes up a dozen?
The dozen of pairs of the gloves, contains 12 pairs each, which means that the total number of pairs in 7 dozens, is 12 multiplied by 7 as computed below:
number of pairs in 7 dozens=7*12
number of pairs in 7 dozens=84
In other words, instead of dividing the total cost of 103.32 by 7 to determine the unit price, we need to divide the total cost by 84 pairs found in 12 dozens instead
unit price=total cost/84
unit price=103.32/84
unit price=1.23
Note, that the unit price is for a pair since each pair is seen as a unit in this case as only one glove is useless
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To read 8 pages, Shirley needs 40 minutes. At that rate, how many minutes does she need to read each page
Answer:5
Step-by-step explanation:
[tex]\frac{40}{8}[/tex] simplify it and you get 5
Answer: So, Do 8 divided by 40 is 0.2
Step-by-step explanation:
Zoé doit faire des bouquets avec 40 roses rouges et 72 roses blanches. Elle veut que chaque bouquet ait le même nombre de ros de chaque couleur. Quel est le plus grand nombre de bouquets qu'elle peut faire ? Réponse:
Answer:
Elle pourra réaliser 8 bouquets :
Chaque bouquet aura 2 fleurs rouges et 3 fleurs jaunes.
Explication:
Sara veut évidemment utiliser toutes les fleurs pour qu'il n'en reste pas. Elle doit trouver un nombre qui se divise en 16 et 24,
C'est juste une manière indirecte d'utiliser le HCF de 16 et 24, qui est 8.
16
=
2
×
8
24
=
3
×
8
Elle pourra réaliser 8 bouquets :
Chaque bouquet aura 2 fleurs rouges et 3 fleurs jaunes.
Step-by-step explanation:
27 x 34 pls show me how you solved this.
Answer:
27 x 34 = 918
Step-by-step explanation:
27 x 10 = 270
270 + 270 = 540
540 + 270 = 810
27 x 2 = 54
54 x 2 = 108
810 + 108 = 918
Anna makes a pot of soup How many times will Anna need to fill the measuring cup to measure 7/8 cups of turnips?
3 1/2 times Anna needs to fill the measuring cup.
How many times does Anna need to fill the cup?Given,
She is using a 1/4 cup measuring cup to measure 7/8 cup of turnips
Solution:
Since she is using a 1/4 cup measuring cup, divide 7/8 cups by 1/4.
7/8 /1/4 = 7/8 * 4/1
= 7/2
= 3 1/2 times.
Therefore,
3 1/2 times Anna needs to fill the measuring cup.
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the term to term rule is half then add 10 the 2nd term of the sequence is 44 wok out the 1st term
The first term of the sequence is 68.
How to find the first term of the sequence?The term to term rule of a sequence is halve then add 10.
The 2nd term of the sequence is 44.
Therefore, the first term of the sequence can be calculated as follows:
let
the first term = x
Hence, the rule to get the next term in the sequence is as follows:
1 / 2 x + 10 = 44
1 / 2 x = 44 - 10
1 / 2x = 34
cross multiply
x = 34 × 2
x = 68
Therefore, the first term is 68.
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Darren claims if he increases a number by 10% and increases his answer by 10%, that that would be an increase of 20% overall. Show Darren is incorrect.
The most appropriate choice for Percentage will be given by
What is percentage?
Suppose there is a number and the number has to be expressed as a fraction of 100. Then that number is called percentage.
For example, 2% means [tex]\frac{2}{100}[/tex]
Here,
Let the number be x
On increasing x by 10%, result = [tex]x + \frac{10}{100} \times x[/tex]
= [tex]x + \frac{x}{10}[/tex]
= [tex]\frac{10x +x}{10}[/tex]
= [tex]\frac{11x}{10}[/tex]
Now on increasing his answer by 10 %, result =
[tex]\frac{11x}{10}+\frac{10}{100}\times \frac{11x}{10}\\\frac{11x}{10} + \frac{11x}{100}\\\frac{110x + 11x}{100}\\\frac{121x}{100}[/tex]
Total increase in number = [tex]\frac{121x}{100} - x[/tex]
= [tex]\frac{121x-100x}{100} \\[/tex]
= [tex]\frac{21x}{100}[/tex]
Percentage increase = [tex]\frac{\frac{21x}{100}}{x} \times 100[/tex]
= 21%
Percentage increase overall = 21 %
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Kara and six of her friends are playing miniature golf.
If it costs $42 for all of them to play a round of golf,
how much does each round cost per person?
Answer:
Step-by-step explanation:
it cost 6 dollars because you would divide 42÷7 and you would get 6 you would divide the price between the 7 people and you would get
Find the 9th term in the sequence.
-28, 172, 372, 572, 772,
Answer:
1572 is the answer.
Step-by-step explanation:
-28,172,372,572,772
divide by 4:-
-7,43,93,143,193
Here common difference is +50.
So,
using the formula:-
nth term = {a+d(n-1)} * 4
= {-7 + 50(n-1) } * 4
= {-7 + 50n - 50} * 4
= 200n - 228
Now,
9th term = 200(9) - 228 = 1572.
ILL BRAINLISTTTTTTTTT
1) Calculate the value for the gradient (m)
2) State the y intercept
3) State the equation of the rule
Step-by-step explanation:
1) gradient: select two points on the line preferably further apart then substitute into gradient formula.
chosen points: A(0,3) B(6,0) remembering layout is (x,y)
gradient formula:
[tex] \frac{y1 - y2}{x1 - x2} [/tex]
[tex] \frac{3 - 0}{0 - 6} [/tex]
= 3/-6
gradient = 1/-3
y-intercept= 3 (the y-intercept is where x=0)
Find the value of x.
The value of x in the given diagram is 16
Calculating angles and the values of variablesFrom the question, we are to determine the value of x
In the given diagram,
|WX| = |WY| =
∴ ΔWXY is an isosceles triangle
By the Isosceles triangle theorem, we have that the base angles of an isosceles triangle are equal
Thus,
∠X = ∠Y
62° = (4x - 2)°
Now, solve for x
62° = (4x - 2)°
62 = 4x - 2
62 + 2 = 4x
64 = 4x
x = 64/4
x = 16
Hence,
The value of x is 16
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pleasee helpp me :)
Answer:
Step-by-step explanation:
y=34
the angle measures are 20, 136, 24
20+(y-10)+4y=180
simplify/solve for y
2 +4
5
3
Please help me
Answer:
The answer is 23/3 (mixed form) 7 2/3 in fraction form.
4 minus (2X -3) = 3 what is x
Given the following equation:
[tex]4-(2x-3)=3[/tex]You can solve for "x" by following these steps:
1. You must distribute the negative sign of the left side of the equation:
[tex]4-2x+3=3[/tex]2. Now you need to add the like terms of the left side of the equation:
[tex]7-2x=3[/tex]3. Apply the Subtraction property of equality by subtracting 7 from both sides of the equation:
[tex]\begin{gathered} 7-2x-(7)=3-(7) \\ -2x=-4 \end{gathered}[/tex]4. Finally, you can apply the Division property of equality by dividing both sides of the equation by -2:
[tex]\begin{gathered} \frac{-2x}{-2}=\frac{-4}{-2} \\ \\ x=2 \end{gathered}[/tex]The answer is:
[tex]x=2[/tex]FOR 65 POINTS PLEASE
Lewis is building a train layout and wants to build a model of the train station in his city. He wants it to be exactly to scale to match his engine. The engine measures 8 inches long and is the model of a train that is 80 feet long. If the station in his city is 30 feet by 60 feet by 40 feet, what are the dimensions of his model of the train station?
The dimensions of his model of the train station would be
3 inches by 6 inches by 4 inches.
What is scale factor?Scale factor is a dimensionless constant value that is used to compare the size of two objects. It is denoted by [K]. Mathematically -
K = O[1]/O[2]
Given is Lewis who is building a train layout and wants to build a model of the train station in his city. He wants it to be exactly to scale to match his engine. The engine measures 8 inches long and is the model of a train that is 80 feet long. The station in his city is 30 feet by 60 feet by 40 feet.
Now, it is given here that Lewis assumed a dilation model in which 80 feet is 8 inches long. Then -
80 feet = 8 inches
So one feet will be -
1 ft = 8/80 = 1/10 inches
Now, the dimensions of station in Lewis native city is 30 feet by 60 feet by 40 feet.
Now, dilating the dimensions with a scale factor of 1/10 inches, we get -
30 feet = 30 x 1 feet = 30 x 1/10 = 3 inches
60 feet = 60 x 1 feet = 60 x 1/10 = 6 inches
40 feet = 40 x 1 feet = 40 x 1/10 = 4 inches
Therefore, the dimensions of his model of the train station would be
3 inches by 6 inches by 4 inches.
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Michael Scott has 48 boxes of paper and 12 boxes are shipped out of his warehouse every hour.
The time it would take Michael Scott to ship all the boxes is 4 hours.
How many hours would it take to ship all the boxes?In order to determine the hours it would take to ship all the boxes, divide 48 boxes by the number of boxes shipped per hour.
Division is the mathematical process that is used to group a number into equal parts using another number. The result of the division process is known as quotient. The sign that is used to represent division is ÷. Other operations that are used in mathematics include addition, multiplication and subtraction.
Time it would take to ship all the boxes of paper = total number of of boxes / boxes shipped per hour
48 / 12 = 4 boxes per hour
Here is the complete question:
Michael Scott has 48 boxes of paper and 12 boxes are shipped out of his warehouse every hour. How many hours would it take to ship all the boxes?
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What can be subtracted from 2/3 to equal 7/12
Answer:
-1/12
Step-by-step explanation:
7/12 -2/3 = - 1/12
Check
-1/12+2/3=7/12
Which of the following values cannot be probabilities of events?20.42-0.05 1.48 0.9872.10.02.-4
The values for representing probabilty must be greater or equal to zero and less or equal to one.
So, the values which cannot be probabilities would be:
-0.05 ( It is less than zero)
1.48 (It is greater than one)
7/2 (It is greater than one)
-1/4 ( It is less than zero)