What is the least common multiple of 18, 16, and 9?
9x100+2x10+3x0.1+7x0.001
Kara bought a new dress. the original price of the dress was $65.50. there was a 15% discount on the dress. how much did kara pay for the dress?
Final answer:
Kara will pay $55.68 for the dress after a 15% discount is applied to the original price of $65.50.
Explanation:
Kara wants to buy a dress with an original price of $65.50, and there is a 15% discount on it.
To find out how much Kara will pay for the dress after the discount, we first need to calculate the amount of the discount.
To do this, we convert the percentage to a decimal by dividing by 100 (15% = 0.15) and then multiply it by the original price of the dress.
The amount of the discount is:
$65.50 × 0.15 = $9.825.
To find out the final price that Kara pays, we subtract the discount from the original price:
$65.50 - $9.825 = $55.675.
However, stores usually round the price to the nearest cent, so Kara would pay $55.68 for the dress after the discount is applied.
A right triangle has a hypotenuse that measures 65 in. and one side that measure 16 in. what is the length of the remaining side of the triangle?
A flower store has 25 daisies and 15 tulips. It puts the same number of flowers in each of 5 bouquets.
The metamorphosis what happens when grete gives a violin recital for the three lodgers
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If it takes 3 days for 10 workers to finish building one house, how many days will it take 15 workers to finish 4 houses?
how many 2 digit numbers are divisible by either 3 or 5
You and four friends go to johny rockets you split the bill each person pays 6.50 how much is the origanl bill
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the range is the difference between the lowest value and highest value
so you would subtract the lowest number from the highest number
what’s three times the difference of a number and four is -9
The perimeter of a rectangle is 112 cm. if the length is 30 cm, how wide is the rectangle?
Match the statement to the property it shows
What is the value of x?
2x+2 + 5x+3 = 180
7x+5 = 180
7x = 175
x = 175/7 = 25
x = 25
In order to receive a b in your english class, you must earn more than 350 points of reading credits. last week you earned 120 points. this week you earned 90 points. how many more points must you earn to receive a b or better in english?
the area of a rectangular swimming pool is 10x^2-19-15 the length is 5x+3 .what is the width of the pool?
Which operation will solve the equation?
m + 9 = 20
Question 2 options:
Add 9 to each side.
Subtract 9 from each side.
Add 20 to each side.
Subtract 20 from each side.
what does at least mean in a word problem less than or greater than
what is the value of XY over WFX equals negative 3Y equals four and W equals -6
In a lottery, 1000 tickets are sold at .25 each. there are 3 cash prizes: 100, 50, and 30. alice buys 5 tickets. what would be a fair price for a ticket
Final answer:
To determine a fair price for a lottery ticket, calculate the expected value by adding the product of the probabilities and outcomes of all prizes. In the given raffle scenario, the fair price would be $0.35, which is the expected value of a ticket.
Explanation:
The question pertains to the concept of expected value in probability, which is often used to determine a fair price for lottery tickets. Expected value is calculated by multiplying the probability of each outcome by the payout of that outcome and then summing these products. In a raffle with 250 prizes of $5, 50 prizes of $25, and 10 prizes of $100, with 10,000 tickets sold, we can calculate the expected value as follows:
Expected value from $5 prizes = (250 prizes * $5) / 10,000 tickets = $0.125
Expected value from $25 prizes = (50 prizes * $25) / 10,000 tickets = $0.125
Expected value from $100 prizes = (10 prizes * $100) / 10,000 tickets = $0.100
Adding these up, the expected value of a ticket is $0.125 + $0.125 + $0.100 = $0.35. Therefore, a fair price for a ticket would be $0.35 to break even.
a total of 32 students have entered a spelling contest. There are 6 medals for first through sixth place that will be awarded. In how many different ways can the medals be awarded?
Final answer:
There are 27,405,5040 different ways the medals can be awarded to the 32 students.
Explanation:
In this problem, we need to find the number of different ways the 6 medals can be awarded to the 32 students. To solve this, we can use the concept of permutations. There are 32 students competing for the first medal, so there are 32 choices for that medal. Once the first medal is awarded, there are 31 students remaining to compete for the second medal, so there are 31 choices for that medal. We continue this process until all 6 medals have been awarded. Therefore, the total number of different ways the medals can be awarded is 32 * 31 * 30 * 29 * 28 * 27 = 27,405,5040.
What is the area of the polygon below
Answer: The correct option is (D) 147 sq. units.
Step-by-step explanation: We Re given to find the area of the polygon shown in the figure.
Let us divide the given polygon in two rectangles A and B as shown in the attached figure below.
The dimensions of rectangle A are
length, l = 10 units and breadth, b = 3 units.
So, the area of rectangle A is given by
[tex]AREA_A=l\times b=10\times3=30~\textup{sq. units}.[/tex]
And, the dimensions of rectangle B are
length, l' = 13 units and breadth, b' = 12 - 3 = 9 units.
So, the area of rectangle B is given by
[tex]AREA_B=l'\times b'=13\times9=117~\textup{sq. units}.[/tex]
Therefore, the area of the polygon is
[tex]AREA=AREA_A+AREA_B=30+117=147~\textup{sq. units}.[/tex]
Thus, the required area of th given polygon is 147 sq. units.
Option (D) is CORRECT.
Simplify the expression 11x − (2x2 + 8x).
A cotton candy vendor has 30 cones of blue cotton candy to sell. If the blue cotton candy is 75% of the total number of cones, how many total cotton candy cones does he have?
Answer:
40
Step-by-step explanation:
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A Flagpole is 28 ft high and the distance along the line of sight from the top of the flagpole to a person looking up at it is 35ft. What is the angle of depression from the top of the flagpole to the person?
Which statement can be used to fill in the blank space?
The statement is option (A) ∠ ADB and ∠CBD satisfies the alternate interior angle theorem.
What is a rectangle?A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other.
For the given situation,
The diagram below shows the rectangle ABCD.
The diagonals AC and BD are drawn.
From the diagram,
According to alternate interior angle theorem, [tex]\angle ADB[/tex] and [tex]\angle CBD[/tex] are alternate interior angles .
Hence we can conclude that the statement is option (A) ∠ ADB and ∠CBD satisfies the alternate interior angle theorem.
Learn more about the rectangles here
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Describe the shapes that make the net for a cone?
If you flip a fair coin 5 times, what is the probability that you will get exactly 3 tails?
The probability of getting exactly 3 tails when flipping a fair coin 5 times is 0.3125, or [tex]\( 31.25\% \)[/tex]. This means that in about 31.25% of the cases, when flipping a fair coin 5 times, exactly 3 of those flips will result in tails.
To find the probability of getting exactly 3 tails when flipping a fair coin 5 times, we can use the binomial probability formula. In a binomial experiment like this, where there are only two possible outcomes (heads or tails) and each trial is independent and has the same probability of success (50% for a fair coin), we can use the binomial probability formula:
[tex]\[ P(X = k) = \binom{n}{k} \times p^k \times (1-p)^{n-k} \][/tex]
Where:
- P(X = k) is the probability of getting exactly k successes (tails, in this case).
- n is the number of trials (5 flips).
- k is the number of successes (3 tails).
- p is the probability of success on each trial (0.5 for a fair coin).
- (1-p) is the probability of failure on each trial.
Substituting the given values into the formula:
[tex]\[ P(X = 3) = \binom{5}{3} \times (0.5)^3 \times (1-0.5)^{5-3} \][/tex]
[tex]\[ P(X = 3) = \binom{5}{3} \times 0.5^3 \times 0.5^2 \][/tex]
[tex]\[ P(X = 3) = \frac{5!}{3!(5-3)!} \times 0.5^3 \times 0.5^2 \][/tex]
[tex]\[ P(X = 3) = \frac{5 \times 4}{2 \times 1} \times 0.125 \times 0.25 \][/tex]
[tex]\[ P(X = 3) = 10 \times 0.125 \times 0.25 \][/tex]
[tex]\[ P(X = 3) = 0.3125 \][/tex]
So, the probability of getting exactly 3 tails when flipping a fair coin 5 times is 0.3125, or [tex]\( 31.25\% \)[/tex].
This means that in about 31.25% of the cases, when flipping a fair coin 5 times, exactly 3 of those flips will result in tails.
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