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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Help pls!!!!!!
Yghhjjhgf
Answer:
[tex]\sf{Exact\:form:\\\sqrt[4]{81}\\[/tex]
[tex]\bold{Decimal\:form:-3}[/tex]
Step-by-step explanation:
[tex]-81^\frac{1}{4}[/tex]
[tex]\mathrm{Convert\: to\: radical\: form\: using\: the\: formula\:}\: a^\frac{x}{n} = \sqrt[n]{a^x}[/tex]
[tex]\mathrm{If\:} n \mathrm{\:is\: a\: positive\: integer\: that\: is\: greater\: than\:} x\mathrm{\:and\:} a \mathrm{\:is\: a\: real\: number\: or\: a\: factor, then} \\a^\frac{x}{n} = \sqrt[n]{a^x}[/tex]
[tex]\mathrm{Use\: the\: rule\: to\: convert\: -81^\frac{1}{4}\: to\: a\: radical, where\:} a=-81,\ x=1, \mathrm{and\:} n=4\\\sqrt[4]{81}[/tex]
[tex]\mathrm{Plug\: the\: points:}\\\\a^\frac{x}{n} = \sqrt[n]{a^x}\\-81^\frac{1}{4} =\sqrt[4]{81}[/tex]
[tex]\mathrm{Solve}\\\\\mathrm{The\: result\: can\: be\: shown\: in\: multiple\: forms.}[/tex]
Evaluate the expression 8+7
Answer:
15
Step-by-step explanation:
Calculate the sum of 8+7 which is 15
What is the next number in the pattern 2 5 11 23
Answer:
47
Step-by-step explanation:
10) Bernice recived the followine scores
on 5 Science test : 96, 7, 82, 96
and 89. Which of the following statements
is true
a) The mean and median of the set of
Scores are the same t to sonho
b) The mode of the set score is 96
of The median of the set score is 82
do the mean of the set is greater
than the median
The mode of the set score is 96
The correct answer is b) The mode of the set score is 96.
What is mean, median and mode?The "mean" is the "average" of the set of values.
The "median" is the "middle" value in the list of numbers.
The "mode" is the value that occurs most often.
Now the given scores on 5 Science test are,
96, 7, 82, 96 and 89
So, Sum of all the scores = 96+7+82+96+89= 370
Mean :
Mean = Sum of all the scores / Number of tests
⇒ Mean = 370 / 5
⇒ Mean = 74
Median :
Median is the middle value after rearrangement
So, rearranging the scores we get,
7, 82,) 89,( 96, 96
Hence the median of the scores is 89
Mode :
Mode is the number occurring the most. Since 96 occurs the most, hence the mode is 96.
Thus, from the given option, the correct option is b) The mode of the set score is 96
Hence, the correct answer is b) The mode of the set score is 96.
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find the inverse of the function F(x)=x-3
Answer:
f¹(x) = x - 3
To find the inverse of a function, just "trade" and y and solve for the "new" y. The graph of the inverse is the reflection of the original function over the line y = x.
Rewrite the function f(x) = x + 3
as the equation y = x + 3
Trade x and y.
x = y + 3
Solve for the "new" y.
= y + 3
3 - 3
Subtract 3 from both sides
y = x= 3
The symbol for the inverse is f-¹(x)
f¹(x) = x - 3
Step-by-step explanation:
brainlies me plss
[tex]f(x) = x -3 \\\\\text{Write f(x) as}~ y = x -3}\\\\\text{Now replace x and y,}\\\\x = y-3\\\\\text{Solve for y:}\\\\y = x+3 \\\\\implies f^{-1}(x) = x +3 ,~ \text{This is the inverse of given function.}[/tex]
Solve the following system using the elimination method
y+3x=−2
2y−3x=14
Answer:
x = -2-y/3
Step-by-step explanation:
13. A linear cost function is C(x)= 28.37x +5,580, where x represents the number of units produced. What is the cost
of producing one more item if 75 are currently being produced? Round your answer to the nearest cent.
a. $7,736.12
b. $28.37
c. $5,580.00
d. $5,608.37
e. $75.00
9514 1404 393
Answer:
b. $28.37
Step-by-step explanation:
In the cost function, x is the number of units. The derivative of the cost function with respect to x will tell the incremental cost of producing one more unit. That derivative is a constant, $28.37 per unit, so the cost of producing one more unit is $28.37 at any production level.
FedEx will ship the Olympic medals from the producer to Japan. Each medal weighs 0.5 kilograms. A box carries 6 medals. If FedEx charges $28 per every 10 kilograms, how much will cost to ship 30 medals ?
A. $280
B. $168
C. $42
Answer:
42
Step-by-step explanation:
weight of medals:
30 (0,5) = 15 kg
cost of 5 kg:
28/2 = 14
cost of shipping:
14+28=42
Help quick 20 points
Answer:
Step-by-step explanation:
1) isosceles triangle d = (180 - 110) / 2 = 35°
2) 2h + 3h + 4h = 180
9h = 180
h = 20
2h = 40°
3h = 60°
4h = 80°
share £650 in the ratio of 4:9
Answer:
200:450 that would be the answer i believe
whats the answer can someone answer please
Answer:
8. b
9. d
Step-by-step explanation:
4/5a - 8 = a + 2 solve for a
Answer:
a=-50
Step-by-step explanation:
Dan earns £299 over the course of a five-day week. How much is that per day?
Answer:
£59.80
Step-by-step explanation:
299 ÷ 5 = 59.80
59.80 × 5 = 299
The ratio of men to women working for a company is 5 to 7. If there are 196 women working for the company, what is the total number of employees?
employees
Answer:
336 employees
Step-by-step explanation:
Hi there!
We're given:
Ratio of men to women ⇒ 5:7
Number of women in the company ⇒ 196
1) Solve for the number of men in the company
Set up a proportion
[tex]\displaystyle \frac{5}{7} = \frac{x}{196}[/tex] where x is the number of men working at the company
Multiply both sides by x
[tex]\displaystyle \frac{5}{7} *196= x\\\\x=140[/tex]
Therefore, there are 140 men working at the company.
Now, we know that there are 140 men and 196 women working at the company. Assuming that they are the only people who work there, the total number of employees is 140 + 196 = 336.
I hope this helps!
Answer:
336 total employees
Step-by-step explanation:
divide women by their respective ratio to get unit multiplier
196÷7=28
add the 2 numbers in the ratio to get both men and women
7+5=12
multiply everyone by unit multiplier
12(28)
336
Solve for w.
16w–w–12w–2w=13
w=
Answer:
w = win
Step-by-step explanation:
w=13
Answer:
w = 13
Step-by-step explanation:
16w - w = 15w
15w - 12w = 3w
3w - 2w = w
w = 13
guys help
Evaluate the numerical expression.
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =
Step-by-step explanation:
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)]
= (25)2 × 100 ÷ 23 + [24 ÷ 8]
= 25 × 2 × 100/23 + 3
= 5000/23 + 3
= 5000+69/23
= 5069/23
= 220 9/23
Write an equation for the nth term of the arithmetic sequence −3, 2, 7, 12, Then find a50.
The equation is =___
Answer:
Pretty much f(n)=-3+5n-1
Step-by-step explanation:
for the 50th term 242
The speed of an object is the ratio of its distance traveled to time. If the speed of a bicycle is 4.5 meters per second, what is the distance traveled in 9 seconds?
Answer:
40.5 meters
Step-by-step explanation:
4.5m/s • 9s = 40.5m
Please help! I'm confused
The solution to the equation f(x) = g(x) is any x-value that makes the equation true. In terms of using graphs, the solutions are the x-coordinates of any point of intersection.
So if the graphs intersect at (1,5), then the solution is x=1.
This checks, because f(1) = 5 and g(1) = 5, so f(1) = g(1).
A square field has a side length of 6x10 meters. Which of the following is its area in square meters?
Answer:
60 square meters
Step-by-step explanation:
area is just its length times its width and both numbers are provided here
6 * 10 is 60
A recipe for cinnamon rolls calls for 3 cups of flour for every cup of water. Using the same recipe, how much water will you need for 5 cups of flour?
How many cups of water will you need for 5 cups of flour?
Answer:
5/3 cups of flour
Step-by-step explanation:
3/1=5/x x representing the amount of water
cross multiply: 3x=5
divide by 3: x=5/3
can you please help out my daughter on this...
Answer:
d
Step-by-step explanation:
Evaluate.
(1/5) −1 ⋅ 4^0
0
1
5
20
Answer:
-1519 4/5
-1519.8
-7599/5
Step-by-step explanation:
3. the smallest number by which 168 must be multipled to get the perfect square number. ICA) 3 1(B)2 (c) 4 (o)5
Answer:
42
Step-by-step explanation:
168 factors into
2•2•2•3•7
two of the 2's make a perfect square
(2•2)•2•3•7
2²•2•3•7
as none of the product of the remaining factors makes a perfect square
2•3 = 6, 2•7 = 14, 3•7 = 21
we need to multiply the remaining factors together to find another perfect square
2²•(2•3•7)²
2•3•7 = 42
42(168) = 7056 = 84²
Help me answer 1c, thank you!
Answer:
bilmiyom bu kadar cevap
Simplify the expression.
6(12 – 3) + 4 + (3 × 2)
a.64
b.96
c.144
d.208
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]6(12-3)+4+(3)(2)[/tex]
[tex]=(6)(9)+4+(3)(2)[/tex]
[tex]=54+4+(3)(2)[/tex]
[tex]=58+(3)(2)[/tex]
[tex]=58+6[/tex]
[tex]= 64[/tex]
Answer:64.
Hopefully, this helps you!!
[tex]Sokka[/tex]
√12 - 1 √3=?
is correct the answer is 1/√3
THANK YOU
Answer:
[tex]\huge\boxed{\text{Is inorrect. Correct answer is:}}\\\boxed{\dfrac{6-\sqrt3}{3}\neq\dfrac{1}{\sqrt3}}[/tex]
Step-by-step explanation:
[tex]\dfrac{\sqrt{12}-1}{\sqrt3}=\dfrac{\sqrt{12}}{\sqrt3}-\dfrac{1}{\sqrt3}=\sqrt{\dfrac{12}{3}}-\dfrac{1}{\sqrt3}=\sqrt4-\dfrac{1}{\sqrt3}\cdot\dfrac{\sqrt3}{\sqrt3}=2-\dfrac{\sqrt3}{3}\\\\=\dfrac{6}{3}-\dfrac{\sqrt3}{3}=\dfrac{6-\sqrt3}{3}\neq\dfrac{1}{\sqrt3}\\\\\dfrac{1}{\sqrt3}\cdot\dfrac{\sqrt3}{\sqrt3}=\dfrac{\sqrt3}{3}[/tex]
Given that 6 >-2, which statements are true? Check all that apply. (2)(6)>(-2)(2) 6 --2 2 2. 0 (-2)(6)>(-2)(-2) 6 -2 -2 -2 (2)(6)
Answer:
Gogogigi
Step-by-step explanation:
How do I point 11,7 on the coordinate plane
Answer: Plot a point on a coordinate plane just remember that the coordinate given is of the form . Follow this simple steps
Step-by-step explanation: Identity the variable range .
Determine the scale of the graph.
Number and label each axis and title of the graph.
Show the positive and negative x-axis and y-axis
First , find the value of x on the x-axis . give x = 11 .
Find the value of y on the y-axis . given y = 7.
Mark the point x=11 in the positive x - axis
Mark the point y=7 in the positive y - axis,.
After this meet the points by the help of scale and write the co-ordinates.
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When you're asked to plot a point on a coordinate plane just remember that the coordinate given is of the form .
So, first, we need to plot 11 on the -axis (the line going left to right, horizontal) then plot 7 on the -axis (the vertical line)
So we first go 11 units to the right along the -axis then go up 7 units along the -axis.
Hope this helped.
i will be asking multiple questions (true or false ) you can just tell me which ones are true and which ones are false
4 is 10 times as much as 0.4 0.05 is 10 times as much as 50 0.3 is 10 times as much as
3 0.09 is 1/10 of 0.9 6 is 1/10 of 0.6 80 is 1/10 of 0.08
True, False, False, True, False, False