The probability of drawing a 3 or an even card from a 52-card deck is calculated by adding the probability of drawing a 3 (1/13) and the probability of drawing an even card (5/13), resulting in a total probability of 6/13.
Explanation:In a standard 52-card deck, there are four 3's and twenty even cards (2, 4, 6, 8, 10 in each of four suits: hearts, diamonds, clubs, and spades). Therefore, the probability, p, of drawing a 3 or an even card is calculated by adding the probabilities of these two independent events.
First, calculate the probability of drawing a 3: P(3) = 4/52 = 1/13, as there are 4 cards with a 3 and 52 total cards.
Next, calculate the probability of drawing an even card: P(even) = 20/52 = 5/13, because there are twenty even cards in the deck.
Finally, add these probabilities: p(3 or even) = p(3) + p(even) = 1/13 + 5/13 = 6/13.
Note: We can add these probabilities directly because these are mutually exclusive events -- a card cannot simultaneously be a 3 and an even number.
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PLZ HELP ME 3 MINS LEFT 100 POINTS AND BRAINLEIST
Answer:
width = 12.1
equation : P = 4w + 4.6
Answer:
The width of the rectangle is 12.1 meters
Step-by-step explanation:
Step 1: Find the width
2w + 2(w + 2.3) = 53
2w + 2w + 4.6 = 53
Step 2: Combine like terms
2w + 2w + 4.6 = 53
4w + 4.6 = 53
Step 3: Subtract 4.6 from both sides
4w + 4.6 - 4.6 = 53 - 4.6
4w = 48.4
Step 4: Divide both sides by 4
4w / 4 = 48.4 / 4
w = 12.1
Answer: The width of the rectangle is 12.1 meters
Solve -(6)^x-1 +5=(2/3)^2-x
Answer:
6^x=x+32/9
Step-by-step explanation:
is 1/7 greater than -5? Or is it less than?
Answer: Greater than
Step-by-step explanation:
1/7, no matter how small, is a positive number, and a positive number is always greater than a negative number, as visualized on a number line.
I need help please and thank you
Answer:
c = 13
Step-by-step explanation:
2 ways of going about in this problem
1. If you have done enough Pythagorean theorem problems, you might be able to memorize some common right triangle side lengths, such as 3-4-5 or
5-12-13
2. actually using Pythagorean theorem
[tex]a^2+b^2=c^2[/tex], where c is hypotenuse
c = [tex]\sqrt{5^2+12^2}[/tex]
c = [tex]\sqrt{169}[/tex] = 13
Sheila went to the fair and spent a total of $40. She paid $16 for a ticket to the fair, and she played some games at the fair for $3 each. Which equation could be used to determine the number of games, x, Sheila played?
A vegetable garden and a surrounding path are shaped like a square that together is 12 ft wide. The path is 1 foot wide. Find the total area of the vegetable garden and path.
Answer:
144 square feet
Step-by-step explanation:
The 12-foot width apparently includes the garden and path, so the desired area is that of a 12-foot square:
A = s² = (12 ft)² = 144 ft²
The area of the garden and path is 144 square feet.
1) fifteen of 31 measurements are below 10cm and 12 measurements are above 11cm. Find the median if the other four measurements are 10.1, 10.4, 10.7 and 10.9cm.
2) the man and the median of a set of nine measurements are both 12. If seven of the measurements are 7, 9, 11, 13, 14, 17 and 19, find the other two measurements.
Pls show full working out ty ;)
Answer:
1) 10.1
2) 6 and 12
Step-by-step explanation:
1) median position: (31+1)/2 = 16th
15 are below 10, so 16th would be the first one to be greater than/equal to 10.
Which is 10.1
2) median = 12 of 9 values
So 5th value is 12
7,9,11,12,13,14,17,19 are the 8 values
To find the last measurement, use mean = 12
Mean = 12
Sum = 12×9 = 108
7+9+11+12+13+14+17+19+x = 108
102 + x = 108
x = 6
Final answer:
To determine the median of a data set with an odd number of measurements, find the middle value in the ordered list. In the first question, the median is 10.1cm. In the second question, the two missing measurements needed to maintain the given mean and median are 6 and 12.
Explanation:
To find the median of a given data set, one must first order the measurements from the smallest to the largest. Once the data are sorted, the median will be the middle value if there is an odd number of measurements. If there is an even number of measurements, the median will be the average of the two middle values.
We have 31 measurements with 15 being below 10cm and 12 above 11cm. The remaining four measurements are 10.1cm, 10.4cm, 10.7cm, and 10.9cm. Because there are 31 measurements (an odd number), the median will be the 16th value when sorted. The first 15 values are below 10cm, thus the 16th value is the first value above 10cm, which is 10.1cm. Therefore, the median is 10.1cm.
The mean and median of the data set are both 12. We are given seven of the measurements, and we need to find the remaining two that will keep the mean and the median at 12. To maintain the median at 12 for a set of nine measurements, the fifth datum must be 12. Among the given values, 13 is the smallest number that is bigger than 12, thus the two unknown values must be either less than or equal to 12 to not affect the median. To find these two unknown values we use the concept of mean, which is the sum of all the measurements divided by the number of measurements. Our equation to find the sum of the nine measurements is 7 + 9 + 11 + 13 + 14 + 17 + 19 + x + y = 9×12 (since the mean is 12). This simplifies to 90 + x + y = 108. Therefore, x + y = 18. Since we already have a 13 and we need a median of 12, one of the unknowns must be 12 to be the middle value and the other must be 6 to fulfill the equation x + y = 18. So the two unknown measurements are 6 and 12.
Deion Sanders can run the 40 yard dash in 4.19 seconds. At this rate, how long would it take him to run a mile?
**hint** There are 1760 yards in a mile.
Approximately 3:07 minutes Approximately 184.36 minutes Approximately 420 seconds Approximately 7 minutes
Answer:
184.36
Step-by-step explanation:
If you times 40×45=1760 so you have to times 4.19×44= The answer/ 184.36
Deion Sanders would approximately take 3 minutes and 7 seconds to run a mile at his 40 yard dash pace of 4.19 seconds, calculating his speed and using the number of yards in a mile to find the total time needed.
To calculate the time it would take Deion Sanders to run a mile at his 40 yard dash pace, we first determine his speed over that distance. We know he runs 40 yards in 4.19 seconds, so we can calculate his speed as follows:
Speed = distance / time
Speed = 40 yards / 4.19 seconds
Speed = 9.55 yards/second (approximately)
Since there are 1760 yards in a mile, to find out how long it will take to run a mile, we divide the total yards in a mile by the speed:
Time to run a mile = distance / speed
Time to run a mile = 1760 yards / 9.55 yards/second
Time to run a mile = 184.293 seconds (approximately)
Converting seconds to minutes yields approximately:
184.293 seconds = 3.07155 minutes (184.293 seconds / 60 seconds per minute)
This result shows that at Deion Sanders' 40 yard dash speed, it would take him approximately 3 minutes and 7 seconds to run a mile.
Use the distributive property to write and equivalent expression: 6(y+5)
Answer:
6y+30
Step-by-step explanation:
1) distributive property is basically multiplying the number outside of the parenthesis with each number/variable inside
so
6*y+6*5
6y+30
hope this helps
Answer:
6y+30
Step-by-step explanation:
(6*y)+(5*6)
r varies directly as s. Find r when s=10 and k=4
Step-by-step explanation:
Since, r varies directly as s
[tex] \therefore \: r \: \: \alpha \: \: s \\ \therefore \: r = k s..(1) \: \\ (k = \: constant \: of \: proportionality ) \\ plug \: s = 10 \: and \: k = 4 \: in \: equation \: (1) \\ r = 4 \times 10 \\ \huge \red{ \boxed{ \therefore \: r =40}}[/tex]
Answer:
40
Step-by-step explanation:
r = ks = 4(10) = 40
how can you get 3 1/2x alone on the left side of the equation 3 1/2 x + 215 = 495? what is the resulting equation?
Answer:3 1/2x = 280
Step-by-step explanation: Subtract 215 from both sides.
Answer:
subtract 215 from both sides
x = 80
Step-by-step explanation:
to get the 3 1/2 x alone subtract 215 from both sides.
this moves it to the other side.
495-215 =280
3 1/2 x = 280
divide both sides by 3 1/2
this will solve for x
x = 80
what value of a makes the equation true?
a+29=-63
I need help!!
Answer:
a = -92
Step-by-step explanation:
Step 1: Subtract 29 from both sides
a + 29 = -63
a + 29 - 29 = -63 - 29
a = -92
Answer: a = -92
Answer:
-92
Step-by-step explanation:
a + 29 = -63
- 29 = -29
a = -63 - 29
a = -92
What is 0.82 divided by 0.0082
Answer:
100 . -angie :) . pls trust me
dont forget to mark me brainliest!
Answer: [tex]100[/tex]
Step-by-step explanation:
Move the decimal to the left 2 times to get your answer
Before:
.82
After:
0.0082
You Move the decimal 2 times to the left to get your answer.
If your answer was 10 you will move the decimal 1 time to the left and get 0.082
what is equivalent to [tex](3^6)3[/tex]
A. 3^2
B 3^9
C 3^3
D 3^18
ILL GIVE ALL 20 POINTS
For this case we must indicate an expression equivalent to:
[tex](3 ^ 6) ^ 3[/tex]
For properties of powers we have to:
[tex](a ^ n) ^ m = a ^ {n * m}[/tex]
So, the above expression can be rewritten as:
[tex](3 ^ 6) ^ 3 = 3^{6*3} = 3^{18}[/tex]
Thus, the resulting expression is: [tex]3^{ 18}[/tex]
Answer:
[tex]3^{ 18}[/tex]
Option D
the pizza restaurant has a special offer today 3 pizzas for $25. the soccer team is ordering pizza. if each player eats 1/4 pizza, how many players will 3 pizzas serve?
Answer:
The 3 pizzas will serve 12 players
Find the area of this figure. Show your work or explain your logic.
Answer:500 units square
Step-by-step explanation:Area= length times width
The length is 20 the down arrows are 5+10+5=20 so that's the width
20 times 20=400
2 boxes on the sides are 5 times =50
400+50+50=500
the table in the lesson shows the number of sets of twins, triplets, quadruplets, and quintuplets registered at a twin convention. write and evaluate an expression for the total number of people who registered at the convention.
Twins: 2697
Triplets: 29
Quadruplets: 2
Quintuplets: 1
Order of operations 1.3
Answer:
5494
Step-by-step explanation:
Assuming all members of each set registered, the total number is ...
2(2697) +3(29) +4(2) +5(1) = 5494
__
Since you're concerned with order of operations, perhaps you want to see the working out.
= 5394 + 87 +8 +5 . . . . perform all the multiplications
= 5481 +8 +5 . . . . . . . . . perform addition left to right
= 5489 +5
= 5494
A = {1, 3, 5, 7, 9)
B = {2, 4, 6, 8, 10)
C = {1, 5, 6, 7,9}
A U (B n C)= ?
Answer:
{1, 3, 5, 6, 7, 9}
Step-by-step explanation:
A u (B n C)
First we look at
(B n C)
n indicates intersects. Intersects means the common. The common number in B and C, we have
{6}
Now A u {6}
u means union. That is, joining both sets together, hence, we have
{1, 3, 5, 6, 7, 9}
A u (B n C} gives {1, 3, 5, 6, 7, 9}
Between the time Iko woke up and lunchtime, the temperature rose by 11 degrees. Then by the time he went to bed, the temperature dropped by 14 degrees.
Write an addition expression for the temperature relative to when Iko woke up.
Answer:
[tex]T_t=x\textdegree-3\textdegree[/tex]
Step-by-step explanation:
let x° be temperature when he woke up. Given that the temperature rose by 11° then later dropped by 14°. Also let [tex]T_t[/tex] be temperature at time t The temperature relative to time of waking up can be expressed as:
[tex]T_t=x\textdegree \pm \bigtriangleup T\textdegree\\\\T_t=x\textdegree + 11\textdegree -14\textdegree\\\\T_t=x\textdegree-3\textdegree[/tex]
Hence, temperature relative to time of waking up is expressed as
[tex]T_t=x\textdegree-3\textdegree[/tex]
What plus what equals 4 but multiplies to equal -5?
Savannah drove 716 miles on Monday. She drove another 572 miles one Tuesday. About how many more miles did she drive on Monday than Tuesday?
Final answer:
Savannah drove 144 more miles on Monday than she did on Tuesday, calculated by subtracting Tuesday's mileage from Monday's.
Explanation:
The student is asking how many more miles Savannah drove on Monday than Tuesday. To calculate this, we simply subtract the number of miles driven on Tuesday from the number of miles driven on Monday.
Miles driven on Monday: 716 miles
Miles driven on Tuesday: 572 miles
To find the difference in miles, we use the following equation:
716 miles (Monday) - 572 miles (Tuesday) = 144 miles
Therefore, Savannah drove 144 more miles on Monday than on Tuesday.
Select the correct answer.
Which situation indicates that an Investor shouldn't sell his or her stocks?
A.
The price of the stock shows a negative trend, and the current stock price is lower than the Investor's purchase price.
B.
The price of the stock shows a negative trend, and the current stock price is higher than the Investor's purchase price.
C. The price of the stock shows a positive trend, and the current stock price is lower than the investor's purchase price.
D. The price of the stock shows a positive trend, and the current stock price is the same as the investor's purchase price.
Answer: C
Example:
Bob bought stocks in a local company for $10. Now the stocks are showing a positive trend. Joe comes in and offers bob $5 for the stock. Bob says no because that would provide no good for him considering he is gaining money because of the positive trend, and he would not earn any money for the stock because he bought it for $5 more then Joe offered him.
We can actually infer that the situation that indicates that an investor shouldn't sell his or her stocks is: C. The price of the stock shows a positive trend, and the current stock price is lower than the investor's purchase price.
Who is an investor?An investor refers to an individual whose takes the responsibility of releasing capital to a venture or business with an expectation of getting financial returns in future.
We can then see here that option C gives us a clear example of a situation that indicates that an investor shouldn't sell his or her stocks.
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i am testing to see how this works anyone can respond
Answer:
oh
Step-by-step explanation:
ok
the answer must be a correct answer
Classify these numbers as rational or irrational
-4/5, 2.5, 0.4, √16 are rational and √2 is irrational.
Step-by-step explanation:
The rational number can be written in the form of fraction that can be simplified into a integer.The irrational number cannot be written in the form of fraction.-4/5 is a rational number.
Reason: It is in the fraction form with -4 in the numerator and 5 in the denominator. .
√2 is irrational.
Reason: since it cannot be written as a fraction.
2.5 is rational number.
Reason: It can be written in the form of fraction such as 5/2.
0.4 is represented with a bar above the 4 which means that 4 gets repeated. It is a rational number
Reason: because it an integer.
√16 is rational.
Reason: It can be simplified as +4 or -4 which are integers.
Can you please help me solve J/7 = -6
Answer:
The answer is J = -42
Step-by-step explanation:
if j/7 = -6
Then J = -6 ×7
J = -42
Which shows two triangles that are congruent by the sss congruence theorem?
Answer: Triangles can be similar or congruent. Similar triangles will have congruent angles but sides of different lengths. Congruent triangles will have completely matching angles and sides. Their interior angles and sides will be congruent. Testing to see if triangles are congruent involves three postulates, abbreviated SAS, ASA, and SSS.
Step-by-step explanation:
Answer:
D is the correct answer if you have this pic in your question then its this one pls like if its right thanks
Step-by-step explanation:
How do u find the density of a sphere
Answer:
Step-by-step explanation:
The formula to find density of a sphere is mass/volume.
Density in simple words means the relation between weight and size of a substance. It is basically related to the compactness of a substance.It is a very useful characteristic and every material has density.
To calculate density, we must calculate the mass and volume of the substance.
p=m/v
where p= density, m= mass of substance, v= volume of substance
Formula to calculate the volume of a sphere = 4/3 [tex]\pi r^{3} \\[/tex]
Therefore, density p =[tex]m/4/3\pi r^{3}[/tex]
p = 3m/4 [tex]\pi r^{3} \\[/tex]
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pls help!!
solve
question22
Answer:
19
Step-by-step explanation:
(x+2)/3 - (x+1)/5 = (x-3)/4 - 1
[5(x+2) - 3(x+1)]/15 = [(x-3) - 4]/4
(2x+7)/15 = (x-7)/4
4(2x+7) = 15(x-7)
8x+28 = 15x-105
7x = 133
x = 19
The mixed number 6 7/8 is equal to which improper fraction?
A.) 55/8
B.)13/8
C.)48/8
D.)42/8
Answer:
A.) 55/8
Step-by-step explanation:
To make 6 7/8 an improper fraction, multiply the whole number by the denominator and add the result to the numerator.
That’s
6 x 8 = 48
48 + 7 = 55
Also, the denominator of the mixed number still remains the denominator of the improper fraction.
That’s
55/8
The mixed number 6 7/8 is equal to the improper fraction 55/8, making option A correct.
Explanation:To convert a mixed number to an improper fraction, you multiply the whole number by the denominator of the fraction and then add the numerator of the fraction. The mixed number 6 7/8 can be converted to an improper fraction by following this method: Multiply 6 (the whole number) by 8 (the denominator) to get 48, and then add 7 (the numerator) to get 55. Therefore, 6 7/8 as an improper fraction is 55/8, which makes option A correct.
Triangle ABC is similar to triangle YBX. Find the value of n. The figure is not drawn to scale.
Answer:
16
Step-by-step explanation:
Set up a proportion: 27/12=36/n
Solve algebraically: 27n=432
n=16
Therefore, 16