Answer:
1/237.12.
Step-by-step explanation:
The probability of winning the minimum award can be calculated by multiplying the probability of picking 4 numbers correctly from 1 to 51 and then multiplying by the probability of picking 1 number correctly from 1 to 42.
The probability of picking 4 numbers correctly from 1 to 51 is given by the formula:
(number of combinations of 4 numbers from 51) / (number of combinations of 5 numbers from 51)
= (51 choose 4) / (51 choose 5)
= 51! / (4! * 47!) / (51! / (5! * 46!))
= (51 * 50 * 49 * 48) / (5 * 4 * 47 * 46)
= 19600 / 10,946
= 1/5.6 approximately
The probability of picking 1 number correctly from 1 to 42 is given by the formula:
1/42
The final probability of winning the minimum award is given by multiplying the above two probabilities:
1/5.6 * 1/42 = 1/237.12
So, the probability of winning the minimum award is approximately 1/237.12.
Given that the roots of the equation x^2-8x+k=0 satisfy 3x+4x=29, find k
a = 1st zero or root of the quadratic
b = 2nd zero or root of the quadratic
[tex]x^2-8x+k=0\implies (x-a)(x-b)=0\implies x= \begin{cases} a\\ b \end{cases} \\\\[-0.35em] ~\dotfill\\\\ -ax-bx=-8x\implies -a-b=-8\implies -b=a-8\implies b=8-a \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that}}{3a+4b=29}\qquad \implies \qquad \stackrel{\textit{substituting from above}}{3a+4(8-a)~~ = ~~29}\implies 3a+32-4a=29 \\\\\\ -a+32=29\implies 32=a+29\implies \boxed{3=a}\hspace{5em}\stackrel{ 8~~ - ~~3 }{\boxed{b=5}}[/tex]
[tex]~\dotfill\\\\ (x-3)(x-5)=0\implies x^2-8x+\stackrel{ \textit{\LARGE k} }{15}=0[/tex]
Build Perseverance Find the measure of angle A and angle B for the given situation.
complementary angles A and B, where m
m
Answer:
2673+$&$ᷓ+62578
What is the equation of a horizontal line passing through the point (−3, 8)
-5 -4 -3 -2
I
Y
5-
4+
3
2+
1
-2
-34
-5
1
→x
2 3 4 5
Find the inequality represented by the
graph.
Answer:
Based on these observations, the inequality represented by the graph is y > mx + b, where m is a positive number and b is a negative number.
Step-by-step explanation:
The graph represents a linear function. To find the inequality, we can find the equation of the line in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
From the graph, it can be seen that the slope of the line is positive, which means that as x increases, y also increases. Also, the y-intercept is negative, which means that the line crosses the y-axis at a negative value.
Based on these observations, the inequality represented by the graph is y > mx + b, where m is a positive number and b is a negative number.
Note that the exact values of m and b can be found by using two points on the line and solving for the slope and y-intercept using the formula for a line.
Triangles PQR and XYZ are equilateral triangles. The sides of PQR are
5 inches long. One side of XYZ is (2x - 3) inches. What value of x
makes the triangles congruent?
Answer:
x = 4
Step-by-step explanation:
2x - 3 = 5 Add 3 to each side
2x - 3 + 3 = 5 + 3
2x = 8 Divide both sides by 2
[tex]\frac{2x}{2}[/tex] = [tex]\frac{8}{2}[/tex]
x = 4
I'LL GIVE BRAINLIEST JUST PLEASE ANSWER
countries represented at each festival 1: 0-5 3:6-11 5:12-17 4:18-23 2:24-29. How many festivals were there?
ANSWER ASAP PLEASE!!!!!
Answer:Twerk
Step-by-step explanation:Twerk
QUESTION FOR FOR LIH04
Need help fast!
Whats rhe radical aproximation of
7.07
7.21
7.93
Answer:
The radical approximations of 7.07, 7.21, and 7.93 to the nearest whole number are:
2.65
2.68
2.82
Step-by-step explanation:
Sure, here's a step-by-step explanation of finding the approximate square root of 7.07, 7.21, and 7.93 to the nearest whole number:
Start by finding an approximate square root by making an educated guess or by using a calculator.
Use the initial guess to determine if the number is closer to the actual square root or to a smaller or larger value.
Refine the estimate by averaging the guess and the number divided by the guess.
Repeat the process of refining the estimate until a satisfactory level of accuracy is reached.
Here's an example for 7.07:
An educated guess for the square root of 7.07 could be 2.7
Dividing 7.07 by 2.7 gives an estimated value of 2.61, which is closer to the actual value.
To get a more accurate estimate, the average of 2.7 and 2.61 (2.655) is taken as the new estimate.
Repeat steps 2 and 3 until the desired level of accuracy is achieved.
After several iterations, the square root of 7.07 is approximately equal to 2.65.
Similarly, you can find the approximate square roots of 7.21 and 7.93.
a wooden artifact from an ancient tomb contains 35 percent of the carbon-14 that is present in living trees. how long ago, to the nearest year, was the artifact made? (the half-life of carbon-14 is 5730 years.)
The wooden artifact was made approximately 3,183 years ago. The amount of carbon-14 present in an artifact can be used to determine how long ago the organism that the artifact came from died.
The half-life of carbon-14 is 5730 years, which means that every 5730 years, half of the carbon-14 in a sample will decay. Let's call the amount of carbon-14 in the living tree sample 100%. Since the artifact contains 35% of that amount, we can write:
0.35 x 100% = 100% x (1/2)^(t/5730)
where t is the number of years since the artifact was made.
Simplifying this equation, we get the following:
0.35 = 0.5^(t/5730)
Taking the logarithm of both sides, we get:
log(0.35) = (t/5730) x log(0.5)
Solving for t, we get:
t = (5730 x log(0.35)) / log(0.5)
Using a calculator, we get:
t ≈ 3,183 years
Therefore, the wooden artifact was made approximately 3,183 years ago.
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Find the length of side x in simplest radical form with a rational denominator.
Answer:
2[tex]\sqrt{3}[/tex]
Step-by-step explanation:
The rule for a 30:60:90 triangle is [tex]\sqrt{3}:x: 2[/tex]
That means that to get the bottom side, we can divide 4/2
That makes 2, so then we can find x by multiplying 2 by [tex]\sqrt{3}[/tex]
That makes 2[tex]\sqrt{3}[/tex]
If 10,000 is deposited into a savings account that pays 2. 3% annual interest, how much more would the
The account would contain 10,230.00 after 1 year.the amount in the account after 1 year, we can use the formula: [tex]P (1 + r/n)^nt[/tex]
To find the amount in the account after 1 year, we can use the formula:[tex]P (1 + r/n)^nt[/tex]
Where,
P = Principal Amount
r = Rate of Interest
n = Number of times the interest is compounded per year
t = Time in years
For this question,
P = 10,000
r = 2.3%
n = 1
t = 1
Therefore,
[tex]10,000 (1 + 0.023/1)^1*1\\10,000 (1.023)^1[/tex]
10,000 x 1.023
= 10,230.00
The complete question is:
If 10,000 is deposited into a savings account that pays 2.3% annual interest, how much more would the account contain after 1 year?
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o step by step to reduce the radical.
176
176
x
x
The solution of the expression x = √176 is x = 13.27.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Given:
An expression,
x² = 176
Taking the square root of the equation,
x = √176
x = 13.27
Therefore, the solution is x = 13.27.
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jeremy's average for 11 math tests is 80. His teacher announced that the students could eliminate any one of their test grades then recompute their average. Jeremy eliminated 30 on his first test. what is his average now?
Answer: His average is 85 now.
Step-by-step explanation:
Average is the sum of all his math tests divided by the number of the math tests he took, so we get:
[tex]\frac{sum }{11}=80[/tex]
sum = 11 x 80
sum = 880
880 - 30, we get 850, which becomes the new sum of the 10 math test scores, because he eliminated one test score.
[tex]\frac{850}{10} =85[/tex]
His average is 85 now.
Three marbles are chosen from the bag below. What is the probability that all marbles chosen will be red? Write your answer as a fraction.
The probability that all marbles chosen are red is obtained using the hypergeometric distribution, which is presented during the answer.
What is the hypergeometric distribution formula?The mass probability formula is presented as follows:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.The meaning of each parameter for this problem is given as follows:
N is the total number of marbles.k is the total number of red marbles in the bag.n = 3 is the number of marbles that will be chosen.x = 3 is the desired number of red marbles.More can be learned about the hypergeometric distribution at https://brainly.com/question/14741653
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The instructions on a carton of chemicals call for mixing 144 fl oz of water, 24 fl oz of chemical No. 1, and 56 fl oz of chemical No. 2. How many quarts are
contained in the final mixture?
The final mixture contains 7 quarts.
What is Mixture?
A mixture is generated when more than one chemical is mixed. A mixture can be created in a variety of ways, including using a liquid, solid, or gaseous medium.
First, let's add up the amount of the three ingredients to find the total volume of the mixture:
144 fl oz + 24 fl oz + 56 fl oz = 224 fl oz
Now, we can convert fluid ounces to quarts:
1 quart = 32 fluid ounces
So, we can divide the total volume in fluid ounces by 32 to find the total volume in quarts:
224 fl oz / 32 fl oz/quart = 7 quarts
Therefore, The final mixture contains 7 quarts.
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a garden is in the shape of a rectangle with a perimeter of 18 meters. the length is 3 meters more than twice the width. find the length of the garden
The length of the garden which is in the shape of a rectangle with a perimeter of 18 meters and whose length is 3 meters more than twice the width, is 7 metres.
Let's name the width "w" and the length "l" of the rectangle.
We know from the problem description that the rectangle's perimeter is 18 metres, thus we can formulate an equation:
2l + 2w = 18
We also know that the length is 3 metres longer than the breadth, thus we can solve the following equation:
l = 2w + 3
We may plug the second equation into the first to remove the letter "l" and get an equation with only one variable:
2(2w + 3) + 2w = 18
When we simplify this equation, we get:
6w + 6 = 18
When we subtract 6 from both sides, we get:
6w = 12
When we divide both sides by 6, we get:
w = 2
We can use the second equation to get the length now that we know the width is 2 metres:
l = 2w + 3 = 2(2) + 3 = 7
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Heeeeeloepepepelelelelelelelelelloeoepeoepwp
Answer:
C) E = 118°; T = 118°
-----------------------------------
The given figure is a kite since it has two pairs of congruent sides as marked.
Its one pair of opposite angles are congruent. That is:
∠E ≅ ∠TSum of all interior angles of a quadrilateral is 360°:
m∠W + m∠E + m∠S + m∠T = 36029 + x + 95 + x = 3602x + 124 = 3602x = 360 - 1242x = 236x = 118Both the missing angles are 118°.
2x(x) + 28 = (2x + 2)(x + 2)
Answer:
x = 4
Step-by-step explanation:
2x(x) + 28 = (2x + 2)(x + 2) ← expand factors using FOIL
2x² + 28 = 2x² + 6x + 4 ( subtract 2x² from both sides )
28 = 6x + 4 ( subtract 4 from both sides )
24 = 6x ( divide both sides by 6 )
4 = x
There are 5 buses taking 27 people to a game another bus is taking 7 people how many people are These buses taking to the game?
Answer: hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
If 65% of a number is 208 and 15% ofthe same number is 48, find 80% of that number.
Answer:
256
Step-by-step explanation:
65% is 208
15% is 48
15% + 65% is 80%
So, just add 48 and 208 together:
48 + 208 = 256
Therefore, 80% of that number is 256.
Answer:
256
Step-by-step explanation:
We know that 65% of a number is 208 and 15% is 48, so we can simply add 208 + 48 to get 256.
2. A traffic radar records the speed, v kilometers per hour, of cars on a section of a *
road. The following table shows a summary of the results for a random sample of
1000 cars whose speeds were recorded on a given day. Find an estimate of the
mean speed of the sample. Show your work!
Answer: Just to get your attention (don't mind rating this)
Step-by-step explanation:
I'm sorry, but there's no table or information about the sample provided for me to estimate the mean speed of the sample. Can you please provide more information or clarify your question?
Cona Mother realize that her age is the difference of code is eight squared of K represent scores age which expression represents cons mothers age
The correct answer on the equation representing Kona's mother's age is option a) K² - 4.
Let M represent the Kona's mother's age = M = K² - 4.
Now substitute the value by taking Kona's age be 10.
= 10² - 4
= 100 - 4
=96.
Since the difference is Kona's age squared with subtracting 4.
The problem states that Kona's mother's age is the difference between Kona's age squared and four, We are given that the K represents Kona's age. Therefore, the expression for Kona's mother's age can be written as K² - 4. This is because we substitute the K for the Kona's age and square it, then subtract four to find the mother's age. Hence the correct is option A. The difference code refers to the answer or result formed after subtracting the given equation or expression.
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Complete question
Kona's mother realized that her age is the difference of Kona's age squared and four. If K represents Kona's age, which expression represents Kona's mother's age? a) K² - 4 b) K³ - 4 c) K² + 4 d) K³ + 4
the cost to rent a car from lou's garage is 50 + 0.1m dollars for m miles. The cost of a car ar Jerry's Garage is 25 + 0.05m dollars for the same number of miles
Answer:
To find out which rental car company is cheaper, you need to compare the cost for the same number of miles driven. Let's say you drive a total of "m" miles.
The cost for renting a car from Lou's Garage is 50 + 0.1m dollars.
The cost for renting a car from Jerry's Garage is 25 + 0.05m dollars.
To determine which option is cheaper, you need to compare these two expressions and find out which one is less. To do this, you can subtract the second expression from the first expression:
50 + 0.1m - (25 + 0.05m) = 25 + 0.05m
This equation shows that the cost of renting a car from Lou's Garage is 25 + 0.05m dollars more expensive than renting a car from Jerry's Garage for the same number of miles driven. Therefore, Jerry's Garage is the cheaper option.
A table of values of a linear function is shown below. Find the output when the input is n . Type your answer in the space provided.
input 1 2 3 4 n
output 9 13 17 21
Answer:
y = 4n + 5
Step-by-step explanation:
y is your output and n in your input
y = 4n + 5
When the input is 1, the out put is 9
y = 4n + 5
y = 4(1) + 5
y = 4 + 5
y = 9
When the input is 2, the output is 13
y = 4n + 5
y = 4(2) + 5
y = 8 + 5
y = 13
And so on and so on....
If radius of circle is tripled then area of circle will be increased by
If radius of circle is tripled then area of circle will be increased by:9 times.
If the radius of a circle is tripled, then the new radius is three times the original radius, or R' = 3R, where R is the original radius and R' is the new radius. The area of a circle is given by the formula A = πR^2, where A is the area and R is the radius.
Substituting R' = 3R into the formula for the area of a circle, we get:
A' = πR'^2
= π(3R)^2
= 9πR^2
Therefore, the new area A' is 9 times the original area A. In other words, if the radius of a circle is tripled, the area of the circle will be increased by a factor of 9. This is because the area of a circle is proportional to the square of its radius.
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A hybrid car with a 9. 80 gal tank consumes gasoline at a rate of 54. 1 miles/gal. How many liters of gasoline will be consumed traveling 132 km?
The hybrid car will consume approximately 21.65 liters of gasoline to travel 132 km.To convert the hybrid car's fuel consumption rate from miles/gallon to kilometers/liter, we need to multiply by a conversion factor of 0.425 (1 mile = 1.609 kilometers, 1 gallon = 3.785 liters).
So the car's fuel consumption rate is 54.1 miles/gallon x 0.425 km/mile ÷ 3.785 liters/gallon = 6.09 km/liter.To find how many liters of gasoline the car will consume traveling 132 km, we can use the formula:
Gasoline consumed = distance traveled ÷ fuel consumption rate
Gasoline consumed = 132 km ÷ 6.09 km/liter = 21.65 liters (rounded to two decimal places).Therefore, the hybrid car will consume approximately 21.65 liters of gasoline to travel 132 km.
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The stem-and-leaf plot displays the distances that a heavy ball was thrown in feet. 2 0, 1, 4 3 1, 2, 6 4 1, 3, 7 5 1, 1 6 5key: 3|2 means 3.2 what is the mean, and what does it tell you in terms of the problem? a. 3.85 feet; the value means that a typical throw of the ball results in 3.85 feet. b. 3.2 feet; the value means the furthest the ball went. c. 5.1 feet; the value means this measurement had the most occurrences. d. 4.62 feet; the value means that a typical throw of the ball results in 4.62 feet.
The mean, also known as the average, is a central value that represents the typical value of a set of data.
To calculate the mean, you add up all the values in the data set and divide by the number of values. The mean provides a general sense of the distribution of the data and helps to identify any patterns or trends. In the stem-and-leaf plot, the mean can be calculated by adding up all the values and dividing by the number of throws. The mean in this case is 4.62 feet, which indicates that a typical throw of the ball results in 4.62 feet. This value can be used to gain a better understanding of the overall performance of the ball thrower and provide insight into how far the ball is typically thrown.
It is important to note that the mean is sensitive to outliers or extreme values, so it may not accurately reflect the typical value of the data in all cases. However, in this particular case, the mean provides a useful representation of the typical performance of the ball thrower.
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Answer:d
Step-by-step explanation:
What is the distance between these two points?
(2,0) and (2,−5)
The distance between these two points (2,0) and (2,−5) is 5 unit.
The distance between two points is the length of the line segment connecting the two points on the plane. The formula for finding the distance between two points is usually d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on the coordinate or x-y plane.
d=√((2 – 2)² + (-5 – 0)²)
d = √(0+25)
d = 5 unit
if the coordinates of two points P and Q are such that, (x1, 0) and (x2, 0), the distance between PQ will be given by:
PQ = |x2 – x1|
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What is 3 5/12 - 8/12 equal to?
Answer:
Step-by-step explanation:
first, write down on paper 3 5/12 - 8/12 then convert the mixed fraction into a more straightforward form. so 3 5/12 equals 37/12. then you do 37 - 8 = 29 so then change it into a fraction and the answer is 29/12. if you what it as a mixed fraction then it would be 2 5/12
Please help!
The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure.
Answer: 1.25 and 1.33
Step-by-step explanation:
question 3:
both sides of 24 became sides that measure 30.
24 times x = 30
therefore x, the scale factor, is 1.25
question 4:
3 increases to 4 and 15 increases to 20 (you have to rotate these shape before anything else to see the corresponding changes)
15 times x = 20
20 divided by 15 is 1.33 repeating, so 4/3
If u ever had a side getting smaller in the second shape, the scale factor would be less than 1.
