Three cards are selected from a well-shuffled deck of 52 cards. Find the probability that all 3 are Aces.
Answer:
We can divide the pack of cards in two ways
Non Ace cards and Ace cards
Since there are 4 aces in a pack
No of non ace cards will be 52–4=48
The question mentions atleast 1 ace cards so i can pick 1 ace card,2 ace cards or 3 ace cards
Case1:1 Ace card
1 will pick one ace card and 2 non ace cards
It can be done in 4C1*48*C2 ways
= 4*1128 = 4 512 ways
Case 2: 2 Ace Cards
I will pick 2 ace cards and 1 non ace card
It can be done in 4C2 * 48C1 = 6 * 48 =288 ways
Case 3:3 Ace cards
It can be done in 4C3 =4 ways
Therefore the probability is
(4512+288+4)/52C3
=4804/22100=0.217
Step-by-step explanation:
Determine the slope of the line, explain your answer.
the hypotenuse of a right triangle is 50ft
Answer:
is that question complete?????
Find the measure of the angles. Write your answer as ONLY a number
Find the angles for Angle A, Angle B, Angle C, Angle D, Angle E
Thank you! Will Mark brainlist.
Answer
A - 30
B - 70
C - 30
D - 120
E - 30
Step-by-step explanation:
This is off the top of my head
Find the power set of
{ø,1,{2},{1,2}}
Answer:
Step-by-step explanation:
the set is : {1,2} the power is 2²
PLEASEEE I NEED HELP ASAPPPPPP DUE IN 6 MINS!
A shipping container will be used to transport several 60-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 24000 kilograms. Other shipments weighing 3300 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xx, the number of 60-kilogram crates that can be loaded into the shipping container.
Answer:
x ≤ 345
Step-by-step explanation:
refer the image please thank you
What is the mode of the following data values?
54, 78, 26, 36, 26
O A. 26
O B. 54
O C. 44
O D. 36
Answer:
O A. 26
Step-by-step explanation:
26 has occurred maximum number of times.
So, Mode of the given data value is 26
To qualify for a police academy, candidates must score in the top 10% on a general abilities test. The test has a mean of 200 and a standard deviation of 20. Find the lowest possible score to qualify. Assume the test scores are normally distributed.
Please explain!
Answer:
z = 1.28 < a - 200/20
And if we solve for a we got
a = 200 + 1.28 * 20 = 225.6
So the value of height that separates the bottom 90% of data from the top 10% is 225.6.
Step-by-step explanation:
Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:
X ~ N (200,20)
For u = 200 and o = 20
For this case we can use the z score in order to solve this problem, given by this formula:
Z = x-u/o
For this part we want to find a value a, such that we satisfy this condition:
P (X > a) = 0.1 (a)
P (X < a) = 0.9 (b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1
If we use condition (b) from previous we have this:
P ( X < a) = P (X-u/o < a - u/o) = 0.9
P (z < a-u/o) = 0.9
But we know which value of z satisfy the previous equation so then we can do this:
z = 1.28 < a - 200/20
And if we solve for a we got
a = 200 + 1.28 * 20 = 225.6
So the value of height that separates the bottom 90% of data from the top 10% is 225.6.
60 POINTS!!!
Peter worked 41 hours last week. He earns $18.60 per hour plus overtime, at the usual rate, for hours exceeding 40 hours. What is his gross pay?
Show work for 60 points!
Answer:
what he works 40 hours overtime? im a little confused by the question but if he works 40 hours overtime then his gross pay would be $14,601.00.
Step-by-step explanation:
in order to calculate gross time you must first
Determine the actual number of hours worked.
Multiply the number of hours worked by the hourly wage.
If there is overtime, multiply the number of overtime hours worked by the overtime pay rate.
Add regular pay and overtime pay together to find the gross pay for that pay period. hope this helps :) if not comment let me know
Answer:
762.6
Step-by-step explanation:
If he gets paid 18.60 per hour and he worked 41 hours then his total pay is $762.6
4) Terrence realized that he had only traveled
22% of his 450 mile trip. How far has Terrence
traveled? How many miles does he have left?
Answer:
He travelled 99 miles and has 351 miles to travel
Step-by-step explanation:
Here,
22/100×450
=22/2×9
=11×9
=99 miles travelled
Again,
450 miles - 99 miles
= 351 miles left to travel
(would appreciate it if you could mark me the brainliest :))
Answer:
Terrence has traveled 99 miles.
He still has 351 miles to go.
Step-by-step explanation:
Change 22% to a decimal by moving the decimal point two places to the left, or dividing by 100.
22% is .22
or 22/100 is .22
Multiply.
.22 × 450 = 99
Terrence traveled 22 miles.
His trip will be 450 miles. Subtract.
450 - 99 = 351
He has 351 miles to go.
Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "not proportional" into the box.
Answer:
3 is your answer
Step-by-step explanation:
y divided by x gives the proportionality
3
To find the constant of proportionality, you divide x from y.
6/2= 3
9/3= 3
12/4= 3
15/5= 3
So, the constant of proportionality is 3.
Classify the angles in the figure by choosing the correct term from the choices below.
supplementary
complementary
straight
none of these
Answer : None of these
This neither adds up to 180° nor 90°
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The given pair of angles adds up to (32° + 48°) = 80°, therefore they doesn't form any special angle pair. so the Correct choice is None of these.
does anyone know this?
Answer:
a is 7
Step-by-step explanation:
counting all of the 90° angles and then g and h are in the middle so you add the middle also
mai bought a televison for $330. the tax rate is 8%
Answer:
$356.40
Step-by-step explanation:
Simply multiply 330 by 8% on a calculator:
330*1.08=356.4
The tax rate is the percentage of an income or an amount of money that has to be paid as tax. These officials prefer lower tax rates on capital gains. The budget may bring down the corporate tax rate from 35 percent to 30 percent, the peak rate of individual tax.
2) What is y after executing the statements?
X= 4;
Y= x+1;
X= 3;
Y= Y * 2 ;
a. 6
b. 8
c. 10
d. 12
Answer:
c.
10
Step-by-step explanation:
hope that help's u :))
The value of y is 10 after executing the statements because the addition of numbers, subtraction, multiplication, and division option (c) 10 is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
It is given that:
The value x = 4
y = x + 1
y = 4 + 1
y = 5
The number expression can be defined as the combination of constants and variables with mathematical operators.
x= 3
y = 5(2)
y = 10
Thus, the value of y is 10 after executing the statements because the addition of numbers, subtraction, multiplication, and division option (c) 10 is correct.
Learn more about the arithmetic operation here:
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evaluate the equation 4w = -64
A. w = -256
B. w = -16
C. w = 16
D. w = 256
Answer:
[tex]\huge\boxed{\sf{w=-16}}[/tex]
Step-by-step explanation:
Hello.
In order to solve this equation, we need to divide both sides by 4:
4w=-64
w=-16
I hope it helps.
Have a great day. :)
[tex]\boxed{imperturbability}[/tex]
Answer:
The choice B. w = -16
Step-by-step explanation:
[tex]4w = - 64 \\ \\ w = - \frac{64}{4} \\ \\ w = - \frac{64 \div 4}{4 \div 4} \\ \\ w = - 16[/tex]
Need help asap please
Help me urgent please
Here ,300 people present in library are asked to choose their favourite book and we have to tell how many choosed mystery as their favourite book ?
Before solving these type of questions , have a look on the pie chart , from their we got that , 16% of 300 have choosed mystery as their favourite book.
Now , 16% of 300 = (16/100)×300 = 16×3 = 48
So , 48 people choosed mystery as their Favourite book .
Hence , Option C) 48 is correct
Answer:
C) 48
Step-by-step explanation:
16% out of 100% choose mystery
So
[tex] \frac{16}{100} \times 300 = 48[/tex]
Store A and Store B are both having a sale on notebooks. At Store A it costs $9 for 14 notebooks. Store B is having a sale where you pay $3 for 5
notebooks. What would you pay for one notebook if you wanted the best deal?
Answer:
the branch of technology that deals with dimensions and tolerances of less than 100 nanometers, especially the manipulation of individual atoms and molecules.
You would pay $0.6 for one notebook if you wanted the best deal
The prices of notebooks in both stores are given as:
Store A
$9 for 14 notebooks.
Store B
$3 for 5 notebooks.
Next, we calculate the unit rate for both stores
[tex]A = \frac 9{14}[/tex]
[tex]A = 0.643[/tex]
[tex]B = \frac 35[/tex]
[tex]B = 0.6[/tex]
0.6 is less than 0.643.
This means that store B has the best deal
Hence, you would pay $0.6 for one notebook if you wanted the best deal
Read more about unit rates at:
https://brainly.com/question/19493296
Below is a graph of the savings account table
1. What does the point (10,125) mean on the savings account card
2. Write an equation for this graph and Y equals KX form
(Giveing Brainly and worth 50 points!!!!)
Help out please
Answer:
10 months of savings gets you $125
y=12.5x x=months 12.5=amount for one month y is a total over a certain amount of months
Step-by-step explanation:
Hope this helped.
A brainliest is always appreciated.
Here
x=monthsy=Amount saved#1
(10,125)
Months=10Savings=125#2
Take 2 points
(0,0)(10,125)[tex]\\ \rm\rightarrowtail m=\dfrac{125}{10}=25/2[/tex]
Equation in point slope form
[tex]\\ \rm\rightarrowtail y=25/2(x)[/tex]
[tex]\\ \rm\rightarrowtail 2y=25x[/tex]
Thirty students rode on the school bus in the morning. The maximum number of students who could fit on the bus was 1 3 1 times that number of students. The same bus was 8 5 full during the afternoon trip.
a. Determine the total number of students who rode the bus that day during the morning and afternoon trips combined.
b. The total number of students who rode the bus during that one day represented what percent of the total capacity the bus could have transported that day? Round the answer to the closest hundredth.
Answer:
A. 115
B.2.93
Step-by-step explanation:
A- 30+85=115
B- 30x131=3930
115x100=11500
11500/3930=2.93
Jason is 15 years old . his sister Nadine is 4 years younger . how old will his sister be in 6 years time?
Answer:
17
Step-by-step explanation:
Jason is 15 his sister 4 years younger: 15-4=11+(6years)=17
7+(2+6) to the 2nd power * 4(1/2) to the 4th power
Answer:
7+(2+6) to the 2nd power 4(1/2) to the 4th power = 23
Step-by-step explanation:
1.
A recipe for pancakes requires 240g of oats. This makes 18 pancakes.
What quantity of oats is needed to make 24 pancakes?
Answer: 320 g
Step-by-step explanation:
We can set up a ratio.
Let the amount of oats equal to x.
18/240 = 24/x
We can now cross multiply.
18x = 5760.
x = 320 g
Answer:
[tex]320\ g[/tex]
Step-by-step explanation:
Start by setting up a ratio:
[tex]\frac{\text{amount of oats}}{\text{number of pancakes}}=\frac{\text{amount of oats}}{\text{number of pancakes}}[/tex]
[tex]\frac{240g}{18\text{ pancakes}}=\frac{xg}{24\text{ pancakes}}[/tex]
Cross multiply (Multiply the numerator of the first fraction by the denominator of the second and vice versa):
[tex]240*24=18*x\\5760=18x\\\text{Divide both sides by 18}\\x=320\ g[/tex]
Two angles are complementary. The larger angle is 36 more than the smaller angle. What is the measure of the larger angle?
[tex][Hello,BrainlyUser][/tex]
Answer:
Large Angle = 63
Step-by-step explanation:
Complementary Angle = 90 °
x + x + 36 = 90
2x = 54
x = 27
Large Angle : 27 + 36 = 63
Smaller number =27
[CloudBreeze]
15y + v4-8
What is the degree
Answer: The degree of 15y+v4-8 is 1
Step-by-step explanation: Hope this helps in your studies!
i need help urgent this is to hard for me to do
Answer:
( 7 , 4 )
given:
4x + 10y = 684x - y = 24make y the subject in equation 2:
4x - y = 24
-y = 24 - 4x
y = 4x - 24
insert this in equation 1:
4x + 10y = 68
4x + 10(4x - 24) = 68
4x + 40x - 240 = 68
44x = 68 + 240
44x = 308
x = 7
solve for y:
y = 4x - 24
y = 4(7) - 24
y = 4
A train stops 7 times per hour. At this rate, how many stops will it make in 12 hours?
_ stops
Answer:
84
Step-by-step explanation:
Multiply seven by 12 and you get your answer
Please mark brainlest
simplify; 3 4/5 - 2 1/4
A. 11/20
B. 1 1/3
C. 1 11/20
D. 1 5/9
Answer:
The choice C.
[tex]1 \frac{11}{20} [/tex]
Step-by-step explanation:
[tex]3 \frac{4}{5} - 2 \frac{1}{4} \\ \\ \frac{19}{5} - \frac{9}{4} \\ \\ \frac{76}{20} - \frac{45}{20} = \frac{31}{20} = 1 \frac{11}{20} [/tex]
1. Marc and Julian are considering the following investments for their portfolio. Help them evaluate each one by weighing the risk versus return. Rank each as low, moderate, or high in each category.
The categorization will be as follows
[tex]\begin{center}\begin{tabular}{ |c|c|c|c|c|c| } Investment & Potential Returns & Potential Risk \\Money market savings account & L & L\\ IRA & M & M \\ Stock in a new tech company & H& H \\\end{center}[/tex]
The risk-return tradeoffThe assertions made will follow the risk to returns principle that says the greater the risk the greater the returns.
In the categories Let
L= low
M= moderate
H= high in each category.
Therefore, appropriate ranking will show
[tex]\begin{center}\begin{tabular}{ |c|c|c|c|c|c| } Investment & Potential Returns & Potential Risk \\ Money market savings account & L & L\\ IRA & M & M \\ Stock in a new tech company & H& H \\Mutual fund & M & M \\Five-year CD (2% interest) & L & L \\High-yield five-year bond & H & M\end{center}[/tex]
More on Trade
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