The probability of winning the minimum award is very small, approximately 1 in 185 million.
To calculate the probability of winning the minimum award, we need to determine the number of possible outcomes and the number of favorable outcomes.
To win the minimum award, the player needs to match two of the white ball numbers and the gold ball number.
There are (4 choose 2) ways to choose two of the four white ball numbers, and there is only one way to choose the gold ball number. Therefore, the number of favorable outcomes is (4 choose 2) × 1.
So, the probability of winning the minimum award is:
(favorable outcomes) / (total outcomes)
= [(4 choose 2) × 1] / [(52 choose 4) × 41]
= (6 × 1) / (26,827,440 × 41)
= 6 / 1,100,701,040
≈ 0.0000000054 or 5.4 × 10⁻⁹
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Exit
Lin wants to bike of a mile. She has already biked of a mile. How much farther does she have to bike?
Simplify your answer.
A house has increased in value by 32% since it was purchased. If the current value is 561000 what was the value when it was purchased?
Answer:
$425000
Step-by-step explanation:
561000*100/132=425000
what is the measure of x?
Answer:
Hello!
After reviewing the problem you have provided I have come up with the correct solution:
x= 9
Step-by-step explanation:
To come up with this solution you have to first realize that the smaller triangle is a proportionally scaled down version of the entire larger triangle! (I will show what I mean in a linked picture)
So after we have realized that the smaller triangle is a scaled down version of the larger one, we can then create a formula or ratio to calculate the value of the missing side of the larger triangle (being x+6=??).
To create the formula/ratio I divided 10inches by 4inches. Thus the larger triangle is 2.5 times larger than the smaller one.
I then use this ratio to figure out the missing length of the larger triangle by doing:
6inches x 2.5 = 15inches.
I then inputed the 15inches into the formula of the missing side:
x+6=15
Subtracted 6 from both sides to simplify, and came up with the solution!
x=9
Let me know if this helps!
In an auditorium,10,200 people were seated in 12 rows. Find number of people in each row. ____________
Answer:
850 people
Step-by-step explanation:
10,200 people in 12 rows
÷ 12 on both sides:
[tex]\frac{10200}{12}[/tex] people in [tex]\frac{12}{12}[/tex] rows
[tex]850[/tex] people in [tex]1[/tex] row.
Change the following numbers to decimals and round to the nearest hundredth
5/9
Answer:
Answer: 5/9 as a decimal is 0.556.
5/9 ≈ 0.56 rounded to the nearest hundredth, good luck
Suppose an annuity pays 7.0% annual interest, compounded annually. If you invest $3,000 every year for 5 years, what percentage of the balance in the account is interest earned?
Round your answer to the nearest hundredth of a percent.
Answer:
13.05%
Step-by-step explanation:
The value of an ordinary annuity earning interest compounded annually is ...
A = P((1 +r)^n -1)/r . . . . . interest rate r for n years on principal payments P
For this account, the balance after 5 years will be ...
A = 3000((1 +.07)^5 -1)/0.07 = 3000·5.750739
The sum of payments is ...
payment total = 3000·5
Then the amount of interest is ...
3000·(5.750739 -5) = 3000·0.750739
and the fraction that is of the account balance is ...
(3000·0.750739)/(3000·5.750739) × 100% ≈ 13.05%
About 13.05% of the balance is interest earned.
The figure below is a square with an area of 625 square centimeters. The length of a rectangle is 40% more than the length of the square. Find the length of the rectangle.
For a square:
A = s2, where s = side (the length and the width are the same)
625 = s2
±25 = s
length of rectangle = 1.4 · length of square
length of rectangle = 1.4(25)
length of rectangle = 35
What is the value of y in y = log_64 64?
Step-by-step explanation:
if I understand this correctly as logarithm of 64 to the base of 64, then the answer is clearly 1
64¹ = 64.
Solving an Inequality
Quick
Check
15
To solve the inequality
m/-7<14, what should be done to both sides?
O Divide both sides by 14.
Divide both sides by -7.
O Multiply both sides by 14.
O Multiply both sides by - 7
Answer:
D. Multiply both sides by -7
Step-by-step explanation:
So solving would look like this
m/-7 < 14
m > -2
Remember when multiplying by a negative the sign flips, hope that helps :)
find the derivative of (Cosx/1+sinx)^5
Use the Chain Rule:
[tex]\frac{d}{dx} [f(g(x))] = f'(g(x)) * g'(x)[/tex]
Given Information:
[tex]f(x) = x^5\\ g(x) = \frac{cos(x)}{1} +sin(x)\\ f(g(x)) = ( \frac{cos(x)}{1} +sin(x))^5\\ \\ f'(x)=5x^4\\ g'(x)=\frac{-sin(x)}{1} + cos(x)\\f'(g(x))*g'(x)=5(\frac{cosx)}{1} + sin(x))^4*(\frac{-sin(x)}{1} + cos(x))[/tex]
The answer is:
[tex]5(\frac{cosx)}{1} + sin(x))^4*(\frac{-sin(x)}{1} + cos(x))[/tex]
Simple problem pls help
Whalen recorded the amount of money people spent for gasoline to the nearest dollar. Which type of graph would be the most appropriate to illustrate Whalen’s information?
Answer:
c :)
Step-by-step explanation:
i guessed and got it right <3
find the sum of all the odd numbers between 51 and 99 inclusive
Answer:
1875
Step-by-step explanation:
A person needs to fill 10 water jugs with a hose. Filling the first 2 jugs has taken 3 minutes. How long to finish filling the remaining jugs?
Answer:
15
Step-by-step explanation:
Maria, Trey, and David sent a total of 65 text messages over their cell phones during the weekend. David sent 2 times as many messages as María, Maria sent 5
fewer messages than Trey. How many messages did they each send?
Answer:
David= 30
Maria= 15
Trey= 20
Step-by-step explanation:
If David sent 30 messages, then half as as many as that would be 15, the amount that Maria sent. 5 more than what Maria would be what Trey sent, 20.
A clothing company makes a profit of $2.3 million. This is $4.1 million more than last year. What was the profit last year?
Answer:
-1.8 million. This means that the business likely spent a lot on production and generated very little sales during the first year.
Step-by-step explanation:
2.3 - 4.1= -1.8
- Kerry multiplied 143.64 X 10 and got 14.364. Is Kerry's answer correct?
If not, tell what Kerry might have done incorrectly.
Is the wrong answer, the correct answer is 1,436.4
1.)Which of the following is a linear inequality in two variables?
a. 3x≤16
b. 3m-4m>5
c. 9q+4<12
d. 11+2t ≥ 3?
[tex] \large╚»★«╝ { \mathcal{Answer }}╚»★«╝[/tex]
The Correct option among them is B
[tex] \sf3m - 4n > 5[/tex]_____________________________________
The other options have one variable each, but according to the given question there should be two variables in the inequality.
The only choice satisfying the conditions is Option B
having two variables in it ( that is "m" and "n" )
[tex] ꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
It takes Evelyn, traveling at 36 mph, 45 minutes longer to go a certain distance than it takes Ricky traveling at 72 mph. Find the distance traveled.
If Speed = dist/time, then;
dist = speed * time
We also know that both of them travel the same distance, so we equate the distance travelled to each other
36 * x+45 = 72 * x
36x + 1620 = 72x
72x - 36x = 1620
36x = 1620
x = 1620/36
x = 45 miles
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10% markdown of $543.20
Answer:
5.Math is a very different one that
Ok
Find (- 18) + (-25) + 13.
-56
20
-30
-6
Answer: -30
Step-by-step explanation:
A random number generator picks a number from 6 to 66 in a uniform manner. Round answers to 4 decimal places when possible.
The mean of this distribution is =
The standard deviation is =
The probability that the number will be exactly 19 is P(x = 19) =
The probability that the number will be between 28 and 46 is P(28 < x < 46) =
The probability that the number will be larger than 48 is P(x > 48) =
P(x > 17 | x < 62) =
Find the 49th percentile =
Find the maximum for the lower quartile =
Answer:last one
Step-by-step explanation:
A random number generator picks a number from 6 to 66 in a uniform manner, its resultants are mathematically given as
X=36[tex]\sigma=5[/tex]p(x=19)=0.2167P(28 < x < 46) =0.3 P(x > 48)=0.3P(x > 17 | x < 62) =0.75k=29.4h=15What is the mean of this distribution?Generally, the equation for Mean is mathematically given as
[tex]X=\frac{a+b}{2}\\\\Therefore\\\\X=\frac{6+66}{2}[/tex]
X=36
b)
Generally, the equation for standard deviation is mathematically given as
[tex]\sigma=\sqrt{\frac{b-a}{12}^2}\\\\Therefore\\\\\sigma=\sqrt{(\frac{66-6}{12})^2}\\\\\sigma=\sqrt{25}\\\\[/tex]
[tex]\sigma=5[/tex]
c)
The probability that the number will be exactly 19
[tex]p(x=19)=\frac{19-6}{66-6}[/tex]
p(x=19)=0.2167
d)
The probability that the number will be between 28 and 46 is P(28 < x < 46)
[tex]P(28 < x < 46) =\frac{46-6}{66-6} -(\frac{28-6}{66-6})[/tex]
P(28 < x < 46) =0.3
e)
The probability that the number will be larger than 48 is P(x > 48)
[tex]P(x > 48)=1-P(x\leq 48)[/tex]
Therefore
[tex]P(x > 48)=1-(\frac{48-6}{66-6})[/tex]
P(x > 48)=0.3
f)
[tex]P(x > 17 | x < 62) = P(x\leq 62-P(x leq 17))[/tex]
Therefore
[tex]P(x > 17 | x < 62) =\frac{62-6}{66-6}-(\frac{17-6}{66-6})[/tex]
P(x > 17 | x < 62) =0.75
g)
The 49th percentile
[tex]p(x\leqk=k.(1/66-6))[/tex]
Therefore
[tex]0.49=k*(1/(66-6))[/tex]
k=29.4
h)
The maximum for the lower quartile
P(xl)=h*1/60
0.25=h*1/60
h=15
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Translate the following word phrase into an algebraic expression: Nine times a number y.
Answer:
9×y
Step-by-step explanation:
the
answer
of
the
given
is 9y
Original price of an SUV $12,000.00 Tax:5.3%
Find the product.
-8x5y2 · 6x2y
-8x10y2
-8x7y3
-48x7y3
-48x10y2
Find the product.
(3a4 + 4)2
6a4 + 8
9a8 + 16
9a8 + 24a4 + 16
9a16 + 24a4 + 16
Answer:
4 better explanation inbox
Step-by-step explanation:
Can anybody answer this for me?
[tex]\\\text{Given that,}\\\\(x_1 , y_1) = (5,6) ,~~ (x_2, y_2) = (-5,-4)\\\\\text{Slope},~m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-4-6}{-5-5} = \dfrac{-10}{-10} = 1[/tex]
7. Fill in the columns in the following table. What quantity should
a profit-maximizing firm produce? Verify your answer with
marginal reasoning.
Answer:
The rule for a profit-maximizing perfectly competitive firm is to produce the level of output where Price= MR = MC, so the raspberry farmer will produce a quantity of 90, which is labeled as e in Figure 4 (a). Remember that the area of a rectangle is equal to its base multiplied by its height.
URGENT WILL GIVE BRAINILY
Alex drives at a speed of 60 miles per hour. How long will it take to drive 330 miles?
Answer:
5.5 hours
Step-by-step explanation:
time = distance/speed
t = 330/60
t = 5.5 hours
solve this equation: x/5+3=2
[tex]\frac{x}{5} +3=2\\\frac{x}{5} =-1\\x=-5[/tex]
Let me know if you need any clarification, I just don't have much to say on a simple question like this
Does anyone know the answer.With explanation plz.
Answer: He sold 1,800 merchandise
Step-by-step explanation: 426 - 300 = 126 ÷0.07 = 1,800
I dont know if im right though