5 cards are drawn at random from a standard deck. Find the probability that all cards are face cards.
Answer:
99 / 324,870 or 3%
Step-by-step explanation:
there are 12 face cards out of a total of 52 cards
probability of 5 face cards = [tex]\frac{12}{52}[/tex] · [tex]\frac{11}{51}[/tex] · [tex]\frac{10}{50}[/tex] · [tex]\frac{9}{49}[/tex] · [tex]\frac{8}{48}[/tex]
The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]
Calculation of the probability:Since 5 cards are drawn at random from a standard deck
Also, we know that
there are 12 face cards out of a total of 52 cards
So here the probability be like
[tex]= 12/52 \times 11/51 \times 10/50 \times 9/49 \times 8/48[/tex]
= [tex]99 / 324,870[/tex]
Hence, The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]
Learn more about probability here: https://brainly.com/question/21102470
How do I Express the inequality x < 7 using interval notation.
Answer: [tex](-\infty, 7)[/tex]
You can write this as (-infinity, 7) if you aren't able to use the infinity symbol.
====================================================
Explanation:
Think of x < 7 as writing [tex]-\infty < x < 7[/tex]
So x is between negative infinity and 7, excluding both endpoints.
To write [tex]-\infty < x < 7[/tex] in interval notation, we write [tex](-\infty, 7)[/tex]
The curved parenthesis tell us to exclude the endpoint.
PLEASE HELP ME I CANT FIND THIS ANSWER ANYWHEREEEE
Answer: The first three
Step-by-step explanation:
1. The sum of six times a number, and 1, is equal to five times
the number. Find the number.
Answer:
-1
Step-by-step explanation:
To solve this word problem, we need to convert it into an equation. Let's first dissect the problem:
"The sum of six times a number and 1" -- since "sum" means addition, and "6 times" means 6 multiplied by some number, we can write this as: 6x + 1, where x stands for the unknown number
"is equal to five times the number" -- since "equals" means "=" and five times the number means 5x, where x stands for that same unknown number, we can write as: = 5x
Put it all together and we have
6x + 1 = 5x
Now we can solve our equation.
First, we need to get all of the like terms on each side of the equal sign. To do this, we will first subtract 1 from both sides:
6x + 1 - 1 = 5x - 1, which gives us 6x = 5x - 1
Next, we will subtract 5x from both sides:
6x - 5x = 5x - 5x - 1, giving us x = -1
-1 is the number
hope this helps
Answer:
x=-1
Step-by-step explanation:
6 x + 1 = 5 x
6 x - 5 x + 1 = 5 x - 5x
x +1 =0
x+1-1=-1
x=-1
Part of the population of 6,500 elk at a wildlife preserve is infected with a parasite. A random sample of 50
elk shows that 2 of them are infected. How many elk are likely to be infected?
Based on the sample, there will likely be
infected elk in the wildlife preserve.
Answer:
1,560
Step-by-step explanation:
are 2y2 and -4y2 like or unlike terms?
Answer:
Unlike terms.
Step-by-step explanation:
[2y2 does not equal -4y2], much like 5 does not equal 6, vice versa.
Lia swam in a 0.61 in the pool for 2 weeks everyday how many meters did she swim
Answer:
8.54 meters
Step-by-step explanation:
0.61x14=8.54
A quality assurance check is 91% accurate for non-defective devices and 97% accurate for defective devices. Of the devices checked, 84% are not defective. What is the probability of an incorrect conclusion? Round your answer to the nearest tenth of a percent.
The probability of an incorrect conclusion is,
In 84 % of inspection, [tex]7.56\%[/tex] of them labeled as not defective but they are actually defective
Probability :It is given that,
A quality assurance check is 91% accurate for non-defective devices and 97% accurate for defective devices.
Of the devices checked, 84% are not defective.
Actual not defective is,
[tex]\frac{91*84}{100} = 76.44\%[/tex]
In [tex]84\%[/tex] of inspection,[tex]76.44\%[/tex] are actually not defective
But [tex]84- 76.44 = 7.56\%[/tex] of them labeled as not defective but they are actually defective
Learn more about Probability here:
https://brainly.com/question/24756209
Please help this might be easy for some people but I’m just not smart
Answer: D:(-1,4)
R:(-4,4)
Step-by-step explanation:
I hope that correct
Please help! I'm writing a test and don't have much time. Step by step please! (20 point)
Answer:
-3+6x
x+3
Step-by-step explanation:
Answer:
23x^3+9x^2-5x+1/x^2
Step-by-step explanation:
I hope you don't mind me putting my explanation as a screenshot of this lol
please help me I will make you brilliance
Answer:
Option B
Step-by-step explanation:
In this question , we just need to make "F" as the subject of the equation.
So, lets solve the equation.
[tex]R = \frac{F}{N + F}[/tex]
→ Multiplying (N + F) on both the sides ,
[tex]=> R \times (N + F) = \frac{F}{(N + F)} \times (N + F)[/tex]
[tex]=> RN + RF = F[/tex]
→ Substracting both the sides with RF ,
[tex]=> RN + RF - RF = F - RF[/tex]
[tex]=> RN = F - RF[/tex]
→ Taking F common from R.H.S ,
[tex]=> RN = F(1 - R)[/tex]
→ Dividing both the sides by (1 - R) ,
[tex]=> \frac{RN}{1 - R} = \frac{F(1 - R)}{(1 - R)}[/tex]
[tex]=> \frac{RN}{1 - R} = F[/tex]
∴ Hence , [tex]F = \frac{RN}{1 - R}[/tex]
isabella collected a bunch of dimes and quarters for her school fundraiser she collected a total of 211 coins and a total of 37.30 how many dimes and how many quarters did she collect
Answer:
103 dimes and 108 quarters
Step-by-step explanation:
Given
[tex]Value = \$37.30[/tex]
[tex]Amount = 211[/tex]
Required
Determine the number of each coin collected
Represent dimes with D and quarters with Q.
[tex]1\ D= \$0.10[/tex]
[tex]1\ Q= \$0.25[/tex]
So:
[tex]0.10D + 0.25Q = 37.30[/tex] --- Value
[tex]D + Q = 211[/tex] --- Amount
Make D the subject in [tex]D + Q = 211[/tex]
[tex]D = 211 - Q[/tex]
Substitute 211 - Q for D in [tex]0.10D + 0.25Q = 37.30[/tex]
[tex]0.10(211 - Q) + 0.25Q = 37.30[/tex]
Open brackets
[tex]21.1 - 0.10Q + 0.25Q = 37.30[/tex]
Collect Like Terms
[tex]- 0.10Q + 0.25Q = 37.30 - 21.1[/tex]
[tex]0.15Q = 16.2[/tex]
Make Q the subject
[tex]Q = 16.2/0.15[/tex]
[tex]Q = 108[/tex]
Substitute 108 for Q in [tex]D = 211 - Q[/tex]
[tex]D = 211 - 108[/tex]
[tex]D = 103[/tex]
Combine like terms to determine which expression is equivalent to 12+5t−4+15t+1
Answer:#
9+20t
Step-by-step explanation:
plot 9/10 and 1 2/5 on the number line below
A 4-sided and 6-sided dice are rolled at the same
time and the result of each die is added together. How many
different outcomes are possible when this is done? PLS HELP I NEED ASAP
Answer:
The number of faces in 4 faced dice is 4 and in 6 faced dice is 6
therefore, Total possibilities for getting anything is 1/10
In this question, you have a large circle A with a radius of 6.5cm and a small circle B with radius 2.3cm. Calculate the area of the two circles. Once you have calculated the areas, take the area of circle A and subtract the area of Circle B and that will give you the area of the purple shaded region.
Answer:
116.113cm2 is the purple reigon area
Step-by-step explanation:
using pi r squared
1st circle area: 16.619
2nd circle area: 132.7322
1st - 2nd = 116.113 cm2
evaluate 4xy for x=3, y=2
Answer:
If x=3 and y=2, 4xy = 4(3)(2) = 12(2) = 24
Step-by-step explanation:
Answer:
★ Value of 4xy when x=3, y=2
★ 4xy = 4×3×2 = 24
24 is the right answer.Given that f (x) = x^2 - 5x and g (x) x + 4
On a given day, the proportion of workers from Company B who purchase a coffee from the company cafeteria is 0.62 and the proportion of workers from Company C who purchase a coffee from the company cafeteria is 0.71. A random sample of40 workers was selected from Company B and another random sample of 40 workers was selected from Company C. The proportion of workers from Company B who purchased coffee was
Answer:
the proportion of workers from company B who purchsed coffee was pˆC=0.75
Step-by-step explanation:
Answer: pˆC=0.75
Step-by-step explanation:
In order to solve the system of equations
{x-3y=2
{2x+y=11
Using the elimination method, which of the following steps could be used?
Answer:
Multiply the second equation by 3 and then add result to the first equation
Step-by-step explanation:
Given the equations :
x-3y=2
{2x+y=11
To solve by elimination :
Multiply one of either equations by a number to give a result such that adding the result to the other equation in the system leads to the removal of one of the unknown values.
By Multiplying the second equation by 3 and then add result to the first equation
Second equation becomes :
6x + 3y = 33
Adding the result to the first equation :
x - 3y = 2
6x + 3y = 33
___________
7x = 35
_________
Here, the y variable has been eliminated
on Monday 76 students played soccer on Tuesday 62 students play soccer on Wednesday 68 students play soccer how many more students played soccer on Tuesday and Wednesday combine then on Monday.
Answer:
The correct answer is 54
Step-by-step explanation:
Add Tuesday and Wednesday together
62+68=130
Subtract the sum of both days by Monday
130-76=54
Animal researchers studying cows and horses conducted a two-sample t-test for a difference in means to investigate whether grazing cows eat more grass, on average, than grazing horses. All conditions for inference were met, and the test produced a test statistic of t=1.064 and a P-values of 0.0487 Which of the following is a correct interpretation of the P-value?
A. The probability that cows eat more grass than horses, on average, is 0.0487.
B. The probability that cows eat the same amount of grass as horses, on average, is 0.0487
C. Assuming that the mean amount of grass eaten by cows is greater than the mean amount of grass eaten by horses, the probability of observing a test statistic of at most 1.664 is 0.0487.
D. Assuming that the mean amount of grass eaten by cows is equal to the mean amount of grass eaten by horses, the probability of observing a test statistic of at most 1.664 is 0.0487.
E. Assuming that the mean amount of grass eaten by cows is equal to the mean amount of grass eaten by horses, the probability of observing a test statistic of at least 1.664 is 0.0487.
Answer:
E. Assuming that the mean amount of grass eaten by cows is equal to the mean amount of grass eaten by horses, the probability of observing a test statistic of at least 1.664 is 0.0487
Step-by-step explanation:
Given that :
Test statistic, t = 1.064
P-value = 0.0487
Hypothesis : To test if grazing cows eat more grass than grazing horses
The null hypothesis will be :
H0 : μ1=μ2 (that is there is no difference on the mean number of grass eaten by cows and horses).
Alternative hypothesis ; H1 : μ1 > μ2
The null is assumed true unless tested otherwise, the P-value is used as a probability metric for the rejection or acceptance of the null.
Therefore, if the null is True in this scenario, then, the probability of observing a test statistic of at least 1.664 is 0.0487
If the null is true in this scenario, then the probability of observing a test statistic of at least 1.664 is 0.0487.
What are null hypotheses and alternative hypotheses?In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
Test statistics, t = 1.064
P-value = 0.0487
The null hypothesis will be
H₀: μ₁ = μ₂ (There is no difference in the mean number of grass eaten by cows and horses)
An alternative hypothesis will be
Hₐ: μ₁ > μ₂
The null is assumed true unless tested otherwise, the P-value is used as a probability metric for the rejection or acceptance of the null.
Therefore, if the null is true in this scenario, then the probability of observing a test statistic of at least 1.664 is 0.0487.
More about the null hypotheses and alternative hypotheses link is given below.
https://brainly.com/question/9504281
2^3 - (12 divide 6) + 8
Shelby asked 15 of her friends to name their favorite ice cream flavor if Shelby choses one of her friends at random what is the probability that this friend's favorite flavor is either strawberry or vanilla?
Answer:
1
Step-by-step explanation:
The probability of an event occurring is the ratio of the possible outcome to the total outcome. In this case, 15 friends were chosen and the choices are either strawberry or vanilla.
Since there are no other flavors, a friend picked at random will either pick strawberry or vanilla.
Therefore probability that this friend's favorite flavor is either strawberry or vanilla is 1.
A jar mung beans and lima beans in a ratio of 2 : 3, and 120 of the beans are mung beans. How many beans in total are there in the jar?
Answer:
300
Step-by-step explanation:
2 : 3
120/2=60
1 part = 60
(60 x 2) + (60 x 3) = 300 total
There is a total of 300 beans in the jar mung.
What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b Remember that the ratio should always be taken of quantities with the same unit of measurement. Also, the ratio is a unitless(no units) quantity.
We have been given a jar of mung beans and lima beans in a ratio of 2 : 3, and 120 of the beans are mung beans.
So, 2 : 3
1 part, 120/2 = 60
The total beans in the jar,
(60 x 2) + (60 x 3) = 300
Hence, there is total of 300 beans in the jar.
Learn more about ratios here:
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#SPJ2
I need help, it’s geometry:
Answer: The area is 5x + 20
Step-by-step explanation:
Add all the numbers up.
7 + 4x - 8 = 3
13 + (x + 8) = (x + 21)
Therefore, your answer is 5x + 20
Let me know if you have any questions!
Please help don’t understand
Answer:
first you choose one of the varibles to solve for so im going to start with s you would add them up and subtract them that way there on the other side of the = sighs so you equation would be 8+2d+3=-7s then you add the 8 and the 3 and you would get 11+2d=-7s i dont know what you do after this i think this is the answer.
Answer:
the other guy is right trust him
Consider the polygon in the xy-coordinate plane with vertices at points (-2,0), (3,0), (4,-3), and (2,-6). What is the most specific name for this polygon?
A. Kite
B. Parallelogram
C. Rectangle
D. Square
Answer: rectangle
Step-by-step explanation: Because I saw another Brainly answer saying it was rectangle
THIS HOMEWORK IS SO HARD WALLAHI CAN SOMEONE HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Answer:
may be 5 I'm not a 100%sure
Tom earned a total of $88 last month. He earned $45 walking his neighbor's dog and b dollars for babysitting his younger brother. Which equation and solution represents the total amount Tom earned
HELP PLS ASAP PLS
Answer: 43 is the answer.
Step-by-step explanation:
43 because 45 + 43 is the only number that could equal 88 and the total that tom earned.
Answer:
(see below)
Step-by-step explanation:
First, assess your info:
- total of $88
- $45 for dog walking
- $b for babysitting
Now, use that info to write an equation to combine all of this info:
$45 + $b = $88
If you were to find b, however, you'll need to simplify:
$45 + $b = $88
$b = $88 - $45
b = $43