Answer: 4.2%
Step-by-step explanation:
The deck has 52 cards, and a standard deck has 13 cards of each type, so there are 13 diamond cards.
Then the probability of drawing a random card that is a diamond card is equal to the number of diamonds card divided by the total number of cards:
p1 = 13/52 = 0.25
now, for the dice we have that the dice has 6 sides, but only one side has a 1, so the probability is;
p2 = 1/6 = 0.167
Now, the probability of both events happening at the same time, is equal to the product of both probabilities is:
P = p1*p2 = 0.25*0.167 = 0.042
So the probability is 0.042*100% = 4.2%
Which statements about quadrilaterals are true? Choose all answers that are correct. A. A square is always also a parallelogram. B. A parallelogram is always also a rectangle. C. A rhombus is always also a trapezoid. D. A rectangle is always also a parallelogram.
Compare the expressions using <, >, or =. Show all your work. (18 – 3) ÷ (6 - 1) _____ 4 • (10 – 3) – 4 • 2
Following the order of operations, (18 – 3) ÷ (6 - 1) simplifies to 3 and 4 • (10 – 3) – 4 • 2 simplifies to 20. Therefore, comparing these two statements using the symbols '>', '<', or '=', we infer that 3 < 20.
Explanation:To solve this problem, we need to follow the order of operations (also commonly known as BODMAS or PEDMAS), which stands for Brackets, Orders/Exponents, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
Let's first simplify the expressions on both sides of the comparison:
(18 – 3) ÷ (6 - 1) simplifies to 15 ÷ 5 = 3 4 • (10 – 3) – 4 • 2 simplifies to 4 • 7 - 8 = 28 - 8 = 20.
Now, we can compare these two numbers. Since 3 is less than 20, we use the symbol '<' to compare these two numbers. Therefore, (18 – 3) ÷ (6 - 1) < 4 • (10 – 3) – 4 • 2.
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Last month, Lana sold 35 necklaces a week at $15 each. However, throughout the month, 6 customers returned their necklaces for a full refund due to defective clasps. How much did Lana make selling necklaces last month? (Hint: Assume there were 4 weeks in the last month.)
To calculate the amount Lana made selling necklaces last month, multiply the number of necklaces sold per week by the price of each necklace. Subtract the number of returned necklaces and multiply the adjusted number by the price to find the total amount.
Explanation:To calculate the amount Lana made selling necklaces last month, we need to multiply the number of necklaces sold per week by the price of each necklace. Lana sold 35 necklaces per week, so for 4 weeks, she sold a total of 35 x 4 = 140 necklaces. However, 6 customers returned their necklaces, so we subtract that from the total: 140 - 6 = 134 necklaces were actually sold. Each necklace was sold for $15, so the total amount Lana made can be found by multiplying the number of necklaces by the price: 134 x $15 = $2010.
Kenya has 2 hours to make a 104 mile trip. What rate must she average to make the trip in 2 hours? A) 50 mph B) 51 mph C) 52 mph D) 53 mph
Wot it's the missing number x9=6x3
1 and 5/12 as a decimal 1.416667? Do I add the repeating sign to the 6 or the whole decimal?
2⋅(3^6*3^−5)
1. 2/3
2. 3
3. 6
4. 18
Fiona is serving iced tea and lemonade at a picnic. She has only 44 cups in which to serve the drinks. If x represents the number of glasses of iced tea and y represents the number of glasses of lemonade, which equation represents the number of glasses of iced tea she can serve?
Answer:
x = 44 - y
Step-by-step explanation:
Fiona is serving iced tea and lemonade at a picnic.
Let x be the number of glasses of iced tea and y be the number of glasses of lemonade.
So the equation represented the total number of glasses of iced tea and lemonade = x + y
Since Fiona has total number of glasses = 44
Therefore, x + y = 44
By solving, x = 44 - y
Equation which represents the number of glasses of iced tea will be x = 44 - y
How many solutions does an equation have when you isolate the variable and it equals a constant?
Final answer:
Isolating a variable to equal a constant typically results in one solution, but special cases may have no solution or infinitely many. The number of solutions depends on the form of the equation once the variable has been isolated.
Explanation:
When you isolate the variable in an equation and it equals a constant, the equation typically has exactly one solution. This is because each value of the variable corresponds to exactly one value of the constant, establishing a one-to-one relationship. For instance, if an equation is simplified to the form x = 5, then the solution set consists of the single number 5. However, if you have an equation like 0x = 0, you encounter a special case where any value of x satisfies the equation, resulting in infinitely many solutions. Alternatively, an equation like 0x = 5 has no solution, as there is no value of 'x' that can make this equation true. When equations are rearranged to isolate a natural logarithm, such as In A, ensuring consistency with assumptions, as in symmetric solutions and physical calculations, can help determine valid solutions.
Ashley has started a blog and is using the bar chart below to keep track of how many followers she has. How many followers will she have on day n
if l=prt, which equation is equivalent to t ?
you would divide both sides by pr
so the equation would be t= I/pr
The ratio of height to width of a tv screen is 9 to 16 how high is a screen that is 30 inches wide
Final answer:
The height of a TV screen with a width of 30 inches and a ratio of height to width of 9 to 16 is approximately 16.875 inches.
Explanation:
To find out how high a TV screen is that is 30 inches wide with a ratio of height to width of 9 to 16, we can set up a proportion using the given ratio and solve for the height. The ratio can be written as:
Height : Width = 9 : 16
Let's call the actual height of the screen 'h'. Using the proportion we have:
9/16 = h/30
To solve for 'h', we cross-multiply:
9 * 30 = 16 * h
270 = 16 * h
Now, to find the height 'h', we divide both sides of the equation by 16:
h = 270/16
h = 16.875 inches
Therefore, the height of the screen that is 30 inches wide is approximately 16.875 inches.
Solve the absolute value equation. Graph the solution. 2|3x-5|-8=8
Answer:
x = -1 or x = 4[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
2 * | 3x - 5 | - 8 = 8. Add 8 to both sides.
2 * | 3x - 5 | - 8 + 8 = 8 + 8
2 * | 3x - 5 | = 16 Divide both sides by 2.
[tex]\frac{2 * | 3x - 5 | }{2}[/tex] = [tex]\frac{16}{2}[/tex]
| 3x - 5 | = 8 Write two equations.
3x - 5 = 8 | 3x - 5 = -8 Solve both equations.
3x - 5 + 5 = 8 + 5 | 3x - 5 + 5 = -8 + 5
3x = 13 | 3x = -3 Simplify.
x = 4[tex]\frac{1}{3}[/tex] | x = -1
What is 6 to the second power simplified
FIND THE VALUE OF EACH EXPRESSION IN LOWEST TERMS
The value of each expression in the lowest term is [tex]3\frac{19}{20}[/tex] .
In mathematics, an expression is a combination of numbers, variables, operations, and functions that are combined according to specific rules to represent a mathematical computation or relationship. It can be thought of as a mathematical phrase or formula.
Expressions might be simple or complex, based on the number of components and operations involved. To perform calculations, represent relationships, describe patterns, and communicate mathematical ideas, expressions are generally used.
Given that
[tex]2\frac{1}{5}[/tex] + [tex]1\frac{3}{4}[/tex] = [tex]\frac{11}{5}[/tex] + [tex]\frac{7}{4}[/tex]
= [tex]\frac{44+35}{20}[/tex]
= [tex]\frac{79}{20}[/tex]
= [tex]3\frac{19}{20}[/tex] .
Hence, on solving the given expression, the answer is [tex]3\frac{19}{20}[/tex] .
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a typical marathon is 26.2 miles Aleexis averages 12 km per 1 hour when running in marathons. Use dimensional Analysis to determine how long it would take Aleexis to complete a marathon
Jermey drew a polygon with four right angles and four sides with the same length . Name all the polygons that he could have drawn
How does scientific notation make it easier to perform computations with very large or very small numbers
905,154 round to the nearest ten thousand
Suzi starts her hike at an elevation below sea level .when she reached the end of the hike she is still below sea level at - 127feet. What was the change in elevation from the beginning of Suzi hike to the end of the hike?
0.567 as a fraction
Only the 5 and 7 repeats
Sven is trying to find the maximum amount of time he can spend practicing the five scales of piano music he is supposed to be working on. He has 70 minutes to practice piano and would like to spend at least 55 minutes playing songs instead of practicing scales. So, Sven sets up the following inequality, where t is the number of minutes he spends on each scale, and solves it.
70 − 5t ≤ 55
−5t ≤ −15
t ≥ 3
Sven has concluded that he should spend 3 minutes or more on each scale. Is this correct? If not, what mistake did he make? Then solve for the correct answer.
Answer:
He should spend 3 minutes or less on each scale
Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal
Step-by-step explanation:
Let
t ------> is the number of minutes he spends on each scale
Remember that the phrase "at least" is equal to "greater than or equal"
so
The inequality that represent this scenario is
[tex]70-5t \geq 55[/tex]
solve for t
[tex]-5t \geq 55-70[/tex]
[tex]-5t \geq -15[/tex]
Multiply by -1 both sides
[tex]5t \leq 15[/tex]
Divide by 5 both sides
[tex]t \leq 3[/tex]
Sven is incorrect
He should spend 3 minutes or less on each scale
Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal
Answer:
i dont think he made a mistake
Step-by-step explanation:
lmk if you need an explanation
A water bottle holds 3 1/3 c of water. A bowl holds 2 1/4 times the amount in the water bottle. How much water does the bowl hold? Express your answer as a mixed number in the simplest form.
is 10/25 and 40/100 equal to 2/5
Error Analysis The length of an object is exactly 20 cm. A student says that a
measurement of 19 cm represents a percent error of 95%, while a measurement of
21 cm represents a percent error of 105%. Explain what the student did wrong.
What are the correct percent errors?
turn 4b-2 into a word phrase
Is |a+b|=|a|+|b| for all rational numbers a and b? Explain.
The equation |a+b|=|a|+|b| is not always true for all rational numbers a and b.
Given that, |a+b|=|a|+|b|.
We need to check whether |a+b|=|a|+|b| for all rational numbers a and b.
What is a rational number?Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).
Now,
Example 1:
a=-3 and b=5
|-3+5|=|-3|+|5|
⇒2≠8
Example 2:
Take a=2 and b=4
|2+4|=|2|+|4|
⇒6=6
Therefore, from the above examples, we understood that |a+b|=|a|+|b| are not always true.
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Answer: |a+b|=|a|+|b| is not always true
Step-by-step explanation:
The equation |a+b|=|a|+|b| is not always true for all rational numbers a and b.Given that, |a+b|=|a|+|b|.We need to check whether |a+b|=|a|+|b| for all rational numbers a and b.What is a rational number?Rational numbers are in the form of p/q, where p and q can be any integerand q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).Now, Example 1:a=-3 and b=5|-3+5|=|-3|+|5|⇒2≠8Example 2:Take a=2 and b=4|2+4|=|2|+|4|⇒6=6Therefore, from the above examples, we understood that |a+b|=|a|+|b| are not always true.To learn more about the rational number visit:brainly.com/question/17450097.
Can someone explain a justification of each step? I was absent for a while so I'm behind. Thank you.
HELP ASAP! please need answer fast
In 1 year, how many more hours of sleep does a giant armadillo get than a platypus?
If the given variables are 127 hours of sleep per week for a Giant Armadillo, and 98 hours of sleep per week for a Platypus, to determine which animal gets the most sleep, first multiply the total hours of sleep of each animal per week to the total number of weeks In a year, which is 52. Once you get the answers, which are 6,604 hours of sleep in a year for the Giant Armadillo and 5,096 hours of sleep in a year for a Platypus. You subtract 6,604 and 5,096 together to get the answer, which is 1,508. Therefore we conclude that that the Giant Armadillo has 1,508 hours more hours of sleep than a Platypus in a Year.