An experiment consists of dealing 5 cards from a standard 52-card deck. What is the probability of being dealt a 9, 10, jack, queen, king, all in the same suit?
The probability of being dealt a 9, 10, jack, queen, king, all in the same suit is 0.000154%.
Dealing 5 cards from a standard 52-card deck constitutes a specific type of event that can be explained using probability.
In order to calculate the probability of being dealt a 9, 10, jack, queen, king, all in the same suit, it is important to know the different card combinations that can occur during the experiment.
There are four suits in a standard 52-card deck: hearts, clubs, diamonds, and spades. Each suit has 13 cards, which are numbered 2 to 10, plus the ace, king, queen, and jack.
The probability of being dealt a 9, 10, jack, queen, king, all in the same suit is calculated using the following formula:
Number of ways to get a 9, 10, jack, queen, king, all in the same suit / Total number of possible 5-card hands
The number of ways to get a 9, 10, jack, queen, king, all in the same suit is calculated as follows:
There are 4 suits, and we need all five cards to be in the same suit. Therefore, there are 4 ways to choose the suit for the hand.
Once the suit is chosen, there are only 1 possible combination of cards that includes the 9, 10, jack, queen, and king.
Therefore, there is only 1 way to choose the actual cards for the hand.
The total number of possible 5-card hands is calculated using the formula:
52C5 = (52!)/((52-5)!5!) = 2,598,960
Therefore, the probability of being dealt a 9, 10, jack, queen, king, all in the same suit is:
4*1 / 2,598,960 = 0.000154%
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What is the easiest way to memorize trigonometric identities?
The easiest way to memorize trigonometric identities is by practicing regularly and using mnemonic devices, visual aids, and interactive study methods.
Memorizing trigonometric identities can be challenging, but there are several methods that can make it easier. Practicing regularly is key to memorizing the identities, so make sure to review them often.
Additionally, understanding the concepts behind the identities, such as the Pythagorean theorem and the unit circle, can help you see the connections between the identities and make them easier to remember.
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Cinco estudiantes tienen x canicas cada uno. Cuando reúnen todos sus canicas, la cantidad reunida es menor que 45
The inequality that represents the statement on the number of marbles that the students have is 5x < 45.
What inequality represents the situation?The five students have x marbles each. This means that they each have the same amount of marbles and to find the total sum, you need to multiple this number by 5:
= 5x
This total is less than 45 however so the inequality will be:
(5 × x ) < 45
5x < 45
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Which is the better buy, 6 bagels for $3.29 or 8 bagels for $4.15? Justify your answer.
Answer:
The better deal is 8 bagels for $4.15
Step-by-step explanation:
6 bagels for $3.29
3.29/ 6 = $.54833333 per bagel
8 bagels for $4.15
4.15/ 8 =$.51875 per bagel
The better deal is 8 bagels for $4.15
Answer:
buy 8 bagles
Step-by-step explanation:
because you can get more for less like if their were selling toy cars 4 for 2 and at the truth store it was 10 for 1 wich would you rather choose
Finish the lyric and name the song and artist (For fun)
"I'm off to better things
I'm only doing $h*t that's gonna make me elevate...."
Answer: Only want people around that's gonna make me better B! tch, pull up in that mhm It's a mhm They ask how I get that ooh
Step-by-step explanation:
No More Parties - Coi Leray
Select the correct answer.
Which expression is equivalent to 40x^2√x^12 / 10x^2√29x^8, if x ≠ 0?
A. 4x^2√29/√29
B. 30x^2√29/29
C. 4x^2√29
D. 4x^2√29/29
Option (C) is the correct one and 4/x²√29 is the equivalent expression of 40x²√x^12 / 10x²√29x^8.
Given, an expression
40x²√x^12 / 10x²√29x^8, if x ≠ 0
On simplifying, we get
= 40x²x^6 / 10x²√29x^8
= (40/10)(x^8/x^8)(1/x²√29)
= 4/x²√29
So, on simplifying the given expression, we get
= 4/x²√29
Hence, Option (C) is the correct one and 4/x²√29 is the equivalent expression of 40x²√x^12 / 10x²√29x^8.
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Calculate the product using partial products.
38.4 x 200
Correct answers only please!
Mark this and retum
S
R
Which statements are true about triangle QRS? Select
three options.
The side opposite ZQ is RS.
The side opposite ZR is RQ.
The hypotenuse is QR.
The side adjacent to ZR is SQ.
The side adjacent to 4Q is QS.
Save and Exit
Next
Submit
The statements that are correct about right triangle QRS are:
Side opposite ∠Q is RS not RQHypotenuse of the right triangle is QRAdjacent side to ∠Q is QSWhat is a Right Triangle?A right triangle posses a right angle which is in opposite direction to the hypotenuse.
Considering the right angle triangle, it can be deduced that Side opposite ∠Q is RS not RQ, and Adjacent side to ∠Q is QS.
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a conjecture by a faculty member in the microbiology department at washington university school of dental medicine in st. louis, missouri, states that a couple of cups of either green or oolong tea each day will provide sufficient fluoride to protect your teeth from decay. how large a sample is needed to estimate the percentage of citizens in a certain town who favor having their water fluoridated if one wishes to be at least 99% confident that the estimate is within 1% of the true percentage?
16,590 is the large sample needed to estimate the percentage of citizens in a certain town who favor having their water fluoridated if one wishes to be at least 99% confident that the estimate is within 1% of the true percentage.
In the given question,
At Washington University a conjecture by a faculty member in the microbiology department of dental medicine states that a couple of cups of either green or oolong tea each day will provide sufficient fluoride to protect your teeth from decay.
We have to find how large a sample is needed to estimate the percentage of citizens in a certain town who favor having their water fluoridated if one wishes to be at least 99% confident that the estimate is within 1% of the true percentage.
To find the sample size, we use the formula
n=0.25\((\frac{z_{\alpha /2}}{E})^2\)
Firstly we find the value of \(z_{\alpha /2}\)
The confidence interval is 99% or 0.99.
So \(\alpha\)=1−0.99
\(\alpha\)=0.01
So \(\alpha /2\) = 0.01/2 = 0.005
So using the standard value of z
\(z_{0.005}\) = 2.576
E = 0.01
Now putting the value
n=0.25\((\frac{{2.576}}{0.01})^2\)
n=0.25(6.636/0.0001)
n=0.25*66360
n=16,590
Hence, 16,590 is the large sample needed to estimate the percentage of citizens in a certain town who favor having their water fluoridated if one wishes to be at least 99% confident that the estimate is within 1% of the true percentage.
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Henry opens a savings account that has a 4.5% annual interest
rate. After 18 months, he receives $75,000. How much did he invest?
Show all work
Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.
Here are the steps on how to calculate the amount Henry invested:
Convert the annual interest rate to a monthly rate.
\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)
Calculate the number of years.
\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)
Use the compound interest formula to calculate the amount Henry invested.
\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)
where:
FV is the future value ($75,000)
PV is the present value (unknown)
r is the interest rate (0.375%)
t is the number of years (1.5 years)
\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)
\$75,000 = PV * 1.0297
\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)
PV = \$72,831.68
Therefore, Henry invested \$72,831.68 in the savings account.
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Lamont has a lawn care business. For each lawn that he mows, he charges a supply
fee of $15 dollars, plus x dollars per hour. It takes Lamont 3 hours to mow one lawn, 2
hours to mow a second, 1 hour to mow a third, & 4 hours to mow a fourth. If Lamont
earns $155 total, how much does he charge per hour?
O $14.00
$9.50
$10.00
$17.00
Answer:
D. $9.50
Step-by-step explanation:
If you take the $155 and subtract the $15 per lawn mowed you get $95. If then you add up the total hours he spent mowing (10) and divide the $155 by the 10 you end up with $9.50 for each hour he spent mowing.
Use the equation below to find T, if w=85, m= 12, and a=3.
T=w-ma
T = 3,060
X
?
Answer:
T = 49
Step-by-step explanation:
T = w - ma
w = 85
m = 12
a = 3
Plug in the corresponding numbers to the corresponding variables:
T = (85) - (12) * (3)
Remember to follow PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
First, multiply, then subtract:
T = 85 - (12 * 3)
T = 85 - 36
T = 49
T = 49 is your answer.
~
solve by elimination
Answer:
x
Step-by-step explanation:
equals 4 you can do rest
Find the probability that
x <= -3
Answer:
30%
Step-by-step explanation:
there are two numbers that fit in the x<=3 category, those being -3 and -5, so you add the two decimals for them (.17 and .13) to get .30 and move the decimal two times to the right to make it in percentage form.
The probability of P(x ≤ -3) is 0.30 or 30% if the probability table is provided.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have given a probability table in the picture.
P(x ≤ -3) = P(x = -5) + p(x = -3)
From the table:
P(x ≤ -3) = 0.17 + 0.13
P(x ≤ -3) = 0.30 or 30%
Thus, the probability of P(x ≤ -3) is 0.30 or 30% if the probability table is provided.
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At Memorial Elementary, 30% of the 3rd grade students chose math as their favorite subject. There are 120 3rd graders. How many chose math as their favorite subject? * 20 points
Answer: 36 students
Step-by-step explanation:
Percentage of 3rd grade students chose math as their favorite subject = 30%
Total number of 3rd graders = 120
The number of 3rd graders who choose maths as their favorite subject will be:
= 30% × 120
= 30/100 × 120
= 0.3 × 120
= 36 students
Answer: 36 chose math as their favorite subject.
Step-by-step explanation: 30 percent of 120 is 36.
help pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Reason: Replace m with 160 to go from 8m+150 to 8(160)+150
When using PEMDAS or a calculator, that expression simplifies to 1430.
The missing quantity in the double number line
Answer: 1840 pounds
Step-by-step explanation:4x4=16
460 x 4 = 1840
I need to find x. if m
Given:-
\(\angle BCD=51\)To find the value of x.
Since the corresponding opposite angles are equal and also the sum of angles inside a triangle is 180 degrees. we get,
\(\begin{gathered} 14x+4+55+51=180 \\ 14x+110=180 \\ 14x=180-110 \\ 14x=70 \\ x=\frac{70}{14} \\ x=5 \end{gathered}\)So the required value of x is 5.
i need help please with this problem
Answer:
Pleae see the attached graph.
Step-by-step explanation:
The values of x are graphed for their respective valid regions, as defined in the question.
If pp is inversely proportional to the square of qq, and pp is 24 when qq is 7, determine pp when qq is equal to 2.
The value of pp when qq equals 2 is: 294
What is the value of pp when qq equals 2?If pp is inversely proportional to the square of qq, it means that pp*qq²=k, where k is the constant of proportionality.
Given that pp is 24 when qq is 7, we can find the value of k:
24*7² = k
k = 1176
Now, we can use this value of k to find pp when qq is equal to 2:
pp*2² = 1176
pp*4 = 1176
pp = 1176/4
pp = 294
Therefore, when qq is equal to 2, pp is equal to 294.
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a small ferry boat is 4m wide and 6m long
The weight of the truck, When a loaded truck pulls onto it, the boat sinks an additional 5.00cm into the river is 11,788 N.
To discover the weight of the truck, we ought to utilize the concept of buoyancy.
When the truck pulls onto the vessel, it uproots a sum of water that breaks even with its claimed weight. The weight of this uprooted water makes an upward buoyant constraint on the pontoon.
The watercraft sinks an extra 5.00 cm, which suggests that the buoyant constraint breaks even with the weight of the truck furthermore the weight of the uprooted water, and this adds up to the weight causing the boat to sink assist.
Let's accept that the thickness of water is 1000 kg/m³ (this can be ordinary esteem for new water). The volume of water uprooted by the pontoon is rise to its length times its width times the profundity it sinks into the water:
V = (6.00 m)(4.00 m)(0.05 m) = 1.20 m³
The weight of this uprooted water is:
Wwater = Vρg = (1.20 m³)(1000 kg/m³)(9.81 m/s²) ≈ 11,788 N
where ρ is the thickness of water and g is the speeding up due to gravity.
Since the buoyant drive is broken even with the weight of the truck furthermore the weight of the uprooted water, we have:
Wtruck + Wwater = Fbuoyant
where Wtruck is the weight of the truck and Fbuoyant is the buoyant drive. Ready to improve this condition to illuminate for the weight of the truck:
Wtruck = Fbuoyant - WWater
The buoyant drive is broken even with the weight of the water uprooted by the watercraft, which we calculated prior to being around 11,788 N. In this manner:
Wtruck = 11,788 N - 0
Wtruck ≈ 11,788 N
So, the weight of the truck is around 11,788 N.
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The full question is
A small ferryboat is 4.00m wide and 6.00m long. When a loaded truck pulls onto it, the boat sinks an additional 5.00cm into the river. What is the weight of the truck?
what percent of variability in y is explained by x
The events A and B are not mutually exclusive; not mutually exclusive (option b).
Explanation:
1st Part: Two events are mutually exclusive if they cannot occur at the same time. In contrast, events are not mutually exclusive if they can occur simultaneously.
2nd Part:
Event A consists of rolling a sum of 8 or rolling a sum that is an even number with a pair of six-sided dice. There are multiple outcomes that satisfy this event, such as (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2). Notice that (4, 4) is an outcome that satisfies both conditions, as it represents rolling a sum of 8 and rolling a sum that is an even number. Therefore, Event A allows for the possibility of outcomes that satisfy both conditions simultaneously.
Event B involves drawing a 3 or drawing an even card from a standard deck of 52 playing cards. There are multiple outcomes that satisfy this event as well. For example, drawing the 3 of hearts satisfies the first condition, while drawing any of the even-numbered cards (2, 4, 6, 8, 10, Jack, Queen, King) satisfies the second condition. It is possible to draw a card that satisfies both conditions, such as the 2 of hearts. Therefore, Event B also allows for the possibility of outcomes that satisfy both conditions simultaneously.
Since both Event A and Event B have outcomes that can satisfy both conditions simultaneously, they are not mutually exclusive. Additionally, since they both have outcomes that satisfy their respective conditions individually, they are also not mutually exclusive in that regard. Therefore, the correct answer is option b: not mutually exclusive; not mutually exclusive.
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One angle of an isosceles triangle measures 120°. What measures are possible for the other two angles? Choose all that apply.
80°
20°
30°
120°
-3/5 + 1/3 in simplest form
Answer:
it is -3/15
Step-by-step explanation:/ im not good at explning it
Answer:
\(-\frac{4}{15}\)
Step-by-step explanation:
\(-\frac{3}{5} +\frac{1}{3}\\\\ \text{LCM 5,3: 15}\\\\\frac{-3}{5}=\frac{-9}{15}\\\\\frac{1}{3}=\frac{5}{15}\\\\\\\frac{-9}{15}+\frac{3}{15}=\frac{-9+5}{15}=\boxed{-\frac{4}{15}}\)
Hope this helps.
answer this i dare you If a seventh grader gets closer to the record-setting jump, then the seventh graders earn 100 points. If not, the eighth graders earn 100 points. Which grade should be awarded 100 points?
Answer: 7th Graders
Explanation:
Several people have gotten this question and 7th graders are the right choice
Answer:7th grade should be awarded !
Step-by-step explanation:
i need help find AC please
Answer:
isnt it in your room
Step-by-step explanation:
Rain fell at a constant rate for 2 hours on Friday. During that time, the total amount of rain that fell was 3/4 inch. what is the rate, in inches per hour, at which rain fell during that time on Friday?
3 1/3
1 7/8
8/15
3/10
The rate, in inches per hour, at which the rain fell during that time on Friday is 3/8 inches per hour.
Time for which the rain fell = 2 hours
The total amount of rain that fell = 3/4 inch
So, in 2 hours, the amount of rain that fell = 3/4
In 1 hour, the amount of rain that fell = 3/8 inches
Hence, The rate, in inches per hour, at which the rain fell during that time on Friday = 3/8 inches per hour.
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Help please !! due at 8pm tonight
Answer:
y=-3x+7
Step-by-step explanation:
:]
Answer:
Y=-3x+7
Step-by-step explanation:
Use rise/run
PLSSS HELPPPP ASAPPP
The solid below is made from cubes.
Find its volume.
Answer:
volume = 45 yd³
Step-by-step explanation:
5 x 3 x 3 = 45 yd³
The volume of the cuboid will be 45 cubic yards.
What is the volume of the cuboid?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width, and height of cube or cubes.
Given that the cuboid is having small cubes of side 1 yard. The length width and height of the cuboid is 5yd, 3yd, and 3yd respectively.
The volume will be calculated as:-
Volume = L x W x H
Volume = 5 x 3 x 3
Volume = 45 yards
Therefore, the volume of the cuboid will be 45 cubic yards.
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I need help with this
Answer:
40 pounds
(Enter only "40" as they ask how many pounds were made.)
Step-by-step explanation:
-> The top model represents the problem
We know the owner made 8 pounds of the swirled fudge, and 20% of the fudge made was swirled.
To find the total amount of fudge made, we will set up a proportion:
-> Percents (%) divided by 100 become decimals
-> I have percents on the top and pounds of fudge on the bottom
\(\frac{0.2}{8} =\frac{1}{x}\)
8 = 0.2x - here I cross multiply
x = 40
The owner made 40 pounds of fudge in total