Answer:
A. [tex]\frac{8}{15}[/tex] There are 15 even number and then there is 1 so 16 possibilities in total.
B. [tex]\frac{19}{30}[/tex] There are 15 even numbers and there are 4 multiples of 7 so 19 in total.
The question requires calculating the probability of drawing an even number or a 1, and an even number or a multiple of 7 from cards numbered 1 to 30. For the first case, the probability is 16/30 and for the second case, it's 17/30, considering mutually exclusive events and counting each outcome only once.
The question involves calculating the probability of drawing specific cards from a set of numbered cards. To find the probability of a particular outcome, we divide the number of ways that outcome can occur by the total number of possible outcomes.
Probability of drawing an even number or a 1
In the set of numbers 1-30, there are 15 even numbers (2, 4, 6, ..., 30) and one number 1. Since the events 'drawing an even number' and 'drawing a 1' are mutually exclusive, we add the probabilities. There are 16 favorable outcomes (15 even numbers + 1), out of a total of 30 possible outcomes.
Probability = Number of favorable outcomes / Total number of outcomes
= 16/30
Probability of drawing an even number or a multiple of 7
Again, from numbers 1-30, we have 15 even numbers. The multiples of 7 up to 30 are 7, 14, 21, and 28. Of these, 14 and 28 are also even numbers and have already been counted. Therefore, we have 2 additional unique multiples of 7 (7 and 21) to consider. Thus, there are 17 favorable outcomes (15 even numbers + 2 unique multiples of 7).
Probability = 17/30
One positive number is 7 times another positive number. the difference between the two numbers is 24. find the two numbers.
The golf ball is at the point (2.5,2) and the hole is at the point (9.5,2) the golfer wants to bank off the side wall of the green at the point (x,y)
please help!!!! asap
The angle between the minute hand and the hour hand of a clock is 90 degrees. What time is it? Justify your answer.
Calculate the perimeter of an equilateral triangle which has sides of 14cm
25. Find the measure of an angle that is 10 more than three times its complement. Show all work in order to receive credit.
Find the sum of the first 30 terms of the sequence, An = 3n + 2
Answer:
The sum of the first 30 terms of the sequence [tex]\( A_n = 3n + 2 \)[/tex] is 1455.
Explanation:
To find the sum of the first 30 terms of the sequence [tex]\( A_n = 3n + 2 \),[/tex] we need to substitute the values of [tex]\( n \)[/tex] from 1 to 30 into the formula and then add them together.
The formula for the [tex]\( n \)[/tex]th term of the sequence is [tex]\( A_n = 3n + 2 \).[/tex]
Let's find the first 30 terms of the sequence:
[tex]\[ A_1 = 3(1) + 2 = 5 \][/tex]
[tex]\[ A_2 = 3(2) + 2 = 8 \][/tex]
[tex]\[ A_3 = 3(3) + 2 = 11 \][/tex]
[tex]\[ \vdots \][/tex]
[tex]\[ A_{30} = 3(30) + 2 = 92 \][/tex]
Now, we need to find the sum of these terms:
[tex]\[ \text{Sum} = A_1 + A_2 + A_3 + \ldots + A_{30} \][/tex]
To find the sum, we can use the formula for the sum of an arithmetic series:
[tex]\[ \text{Sum} = \frac{n}{2}(A_1 + A_{30}) \][/tex]
Where:
- [tex]\( n \)[/tex] is the number of terms (30 in this case)
- [tex]\( A_1 \)[/tex] is the first term (5)
- [tex]\( A_{30} \)[/tex] is the 30th term (92)
Now, let's calculate the sum:
[tex]\[ \text{Sum} = \frac{30}{2}(5 + 92) \][/tex]
[tex]\[ \text{Sum} = \frac{30}{2}(97) \][/tex]
[tex]\[ \text{Sum} = 15 \times 97 \][/tex]
[tex]\[ \text{Sum} = 1455 \][/tex]
y-7/2=1/2 (x-4) is written in point-slope form. What is the y-intercept of the equation?
Can yall show work i need help quick
Elizabeth received her last check for the summer job on the 12th and withdrew her car down payment after making another deposit. What is her balance C?
A. $273.50
B. $396.50 (My answer)
C. $285.50
D. $385.50
I added the deposits and then subtracted the withdrawal, is that right?
Answer: Yes, Her balance C=$396.5.
Step-by-step explanation:
From the given table, the balance amount on 2nd September = $920
On 5th September (9/5/06), Elizabeth deposit amount = $65.00
On 12th September (9/12/06), Elizabeth deposit amount = $61.50
Deposit amount till 12th September=[tex]\$65+\$61.5=\$126.50[/tex]
Therefore, the balance amount on 12th September = [tex]\$920+\$126.20=\$1046.20[/tex]
On 12th September , Elizabeth withdrawal amount = $650.00
Therefore, the balance amount = [tex]C=\$1046.20-\$650.0=\$396.5[/tex]
Hence, B is the right answer.
Her balance C=$396.5.
The sum of three consecutive integers is 72. What are the integers?
Write a true conditional statement about yourself. Then write the converse of your statement in if-then form. Is the converse true?
0.45 divided by 150
Help me please 20 points for being a helping hand
Answer: 0.003
Explanation:
Sarah has 12 shirts and 3 pairs of pants. How many combinations of outfits can she make
The force of gravity is less on Mars than it is on Earth. As a result, the weight of an object on Mars m is 40% of its weight on Earth w. Determine which function you would use to find the weight on Mars of a space probe that weighs 15 lb on Earth. Then find the objects weight on Mars.
What is 625 written as a single power number of 5
Susan will rotate triangle ABC 180°about one of the labeled points. Susan says, "The image will not touch the pre-image at all."
Which points could be her center of rotation?
Select each correct answer.
point C
point D
point E
point F
Answer:
point E and F
Step-by-step explanation:
the only ones that make sense
heeeelp me plz i will give brainliest
Wes used 49 quarts of oil when he changed the oil in 7 cars. Complete and solve the proportion to find how many quarts of oin he would use to change the oil in 20 cars, assuming that all cars need to the same quanity of oil.
What is the rate at which work is done on the refrigerator? carnot?
The rate at which work is done on the refrigerator and Carnot refrigerator depends on the cooling effect desired and the efficiency of the refrigerator.
For a refrigerator,
The coefficient of performance is Qc / W
For a Carnot refrigerator,
The coefficient of performance is Tc / (Th - Tc).
We have,
The rate at which work is done on the refrigerator depends on the specific context or situation.
In general terms,
Work is done on a refrigerator when an external force or energy is applied to the refrigerator to compress the refrigerant and drive the cooling cycle.
This work is usually done by a compressor, which requires energy input to operate.
The efficiency of a refrigerator, including Carnot refrigerators, is given by the coefficient of performance (COP).
The COP is defined as the ratio of the cooling effect (Qc) to the work input (W):
COP = Qc / W
For a Carnot refrigerator, which is an idealized and reversible refrigerator operating between two temperature reservoirs, the COP is given by:
COP = Tc / (Th - Tc)
Where:
Tc = Temperature of the cold reservoir (inside the refrigerator)
Th = Temperature of the hot reservoir (outside the refrigerator)
Generally, higher-efficiency refrigerators require less work input to achieve a given cooling effect.
However, the actual rate of work done on a specific refrigerator depends on its design, efficiency, and the cooling requirements of the system.
Thus,
The rate at which work is done on the refrigerator and Carnot depends on the cooling effect desired and the efficiency of the refrigerator.
Learn mroe about refrigerators and Carnot refrigerators here:
https://brainly.com/question/13441103
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A problem states: "There are 5 more girls than boys at the party. There are 27 children at the party in all. How many boys are there at the party?"
Let b represent the number of boys.
Which expression represents the number of girls?
A .b+5 B. b*5 C. b-5 D. 5-b
27-5 = 22
22/11 = 11
there are 11 boys at the party
expression = b+5
Hurry Please!!!! IF ANSWER WILL MAKE BRAINIEST ANSWER
Which expression is equivalent to
Multiply (8 + 3i)(3 + 5i).
Answer:
15i² + 49i + 33.
Step-by-step explanation:
Given : (8 + 3i)(3 + 5i).
To find : Multiply .
Solution : We have given (8 + 3i)(3 + 5i).
Distribute 8 over (3 + 5i) and 3i over (3 + 5i).
8 (3 + 5i) + 3i(3 + 5i).
8 *3 + 8 * 5i + 3 *3i + 3i *5i.
24 + 40 i + 9i + 15 i².
Combine like terms
24 + 9i +40i + 15i².
24 + 49i + 15i².
Therefore,15i² + 49i + 33.
Our teacher had1/2 of an eraser left.she gave that to her 2 students equally.how much of the eraser did every student take home
Evaluate u + xy, for u = 18, x = 10 and y = 8
U+xy
Where u=18,x=10,y=8
Sub in all these values
18+10(8)
18+80
98
Hope this helps!
Tony started a blanket business. He purchased a sewing machine and some fabric to get started, and then sold each blanket for the same price. The expression −450+12x represents the profit that Tony has earned based on the number of blankets sold.
Which expression represents the total amount Tony earns from selling blankets?
12x
12
−450+12x
x
Fifteen marbles are in a row . 20% are blue.one third are green. Yellow marbles account for 0.2 of the row . The remaining marbles are red. Explain how to find out how many of each color of marbles are in the row
Solve the following system of linear equation using any algebraic method. If possible, check your solution.
2x-5y=3
X-2y=7
A bag of marbles has 5 green, 2 yellow, 8 red, and 3 purple marbles. What is the probability of picking a green marble, not replacing it, and then picking a red marble?
3x+5y=4, 2x-y=-7 solve using substitution
Holly wants to save money for an emergency. Holly invests 1,500 in an account that pays an interest rate of 6.75%. How many years will it take for the account to reach 7300? Round your answer to the nearest hundredth.