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Related Questions
Help me plz tyy very much
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Answer:
False
Step-by-step explanation:
On September 11, 2002, a particular state lottery's daily number came up 9-1-1. Assume that no more than one digit is used to represent the first nine months. a) What is the probability that the winning three numbers match the date on any given day? b) What is the probability that a whole year passes without this happening? c) What is the probability that the date and winning lottery number match at least once during any year? d) If 27 states have a three-digit lottery, what is the probability that at least one of them will come up 1-1-4 on January 14?
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The probability that the winning three numbers match the date on any given day is the likelihood of the winning number
The probability that the winning three numbers match the date on any given day is 0.001The probability that a whole year passes without this happening is 0.7407The probability that the date and winning lottery number match at least once during any year is 0.2593The probability that at least one of them will come up 1-1-4 on January 14 is 0.0267The probability that the winning three numbers match the date on any given dayStart by calculating the number of possible outcomes
Each of the three digits can take any of 0 - 9 i.e. 10 digits.
So, the number of possible outcomes is:
[tex]n =10^3[/tex]
[tex]n =1000[/tex]
There can be only one winning date.
So, the probability (p) is:
[tex]p = \frac 1n[/tex]
This gives
[tex]p = \frac 1{1000}[/tex]
[tex]p = 0.001[/tex]
Hence, the probability that the winning three numbers match the date on any given day is 0.001
The probability that a whole year passes without this happeningIn a calendar year, there are 65 days, where the whole year passes without matching the winning numbers.
The dates are:
October 10- October 31 (22 days)November 10 - November 30 (21 days)December 10 - December 31 (22 days)This means that the matching numbers can occur on the remaining 300 days.
The probability that the winning date does not occur on a date is calculated using the following complement rule
[tex]p' = 1 - p[/tex]
So, we have:
[tex]p' = 1 - 0.001[/tex]
[tex]p' = 0.999[/tex]
For the 300 days, we have:
[tex]p = 0.999^{300}[/tex]
[tex]p = 0.7407[/tex]
Hence, the probability that a whole year passes without this happening is 0.7407
The probability that the date and winning lottery number match at least once during any yearThis is calculated using the following complement rule
[tex]p' = 1 - p[/tex]
So, we have:
[tex]p' = 1 - 0.7407[/tex]
[tex]p' = 0.2593[/tex]
Hence, the probability that the date and winning lottery number match at least once during any year is 0.2593
The probability that at least one of them will come up 1-1-4 on January 14In (b), we have:
[tex]p' = 0.999[/tex]
So, the probability is calculated as:
[tex]p =1 - (p')^n[/tex]
Where n is the number of states i.e. n = 27.
So, we have:
[tex]p = 1 - 0.999^{27}[/tex]
[tex]p = 0.0267[/tex]
Hence, the probability that at least one of them will come up 1-1-4 on January 14 is 0.0267
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Multiply. Write your answer in simplest form. 4/9 x 2/3
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Answer:
4/9*2/3= 8/27 i dont think you can simplify.
Step-by-step explanation:
Measuring the speed of sound in the ocean is an important part of marine research. One application is the study of climate change. The speed of sound depends on the temperature, salinity, and depth below the surface. For a fixed temperature of 25 degrees Celsius and salinity of 35 parts per thousand, the speed of sound is a function of the depth. At the surface, the speed of sound is 1534 meters per second. For each increase in depth by 1 kilometer, the speed of sound increases by 17 meters per second. Use D for depth (in kilometers) and S for the speed of sound (in meters per second), and find a linear formula for S as a function of D.
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Answer:
A linear formula for S as a function of D is S=17D+1534
Step-by-step explanation:
We are supposed to find a linear formula for S as a function of D.
Equation of line : y = mx+c
We are given that At the surface, the speed of sound is 1534 meters per second.
c = 1534
We are given that for each increase in depth by 1 km, the speed increases by 17 m/s
So, Slope = m = 17
Substitute the values in equation
y=17x+1534
x denotes depth
y denotes speed
We are given that Use D for depth and S for the speed of sound
So, S=17D+1534
Hence a linear formula for S as a function of D is S=17D+1534
Roscoe is exchanging $ 121 for Euros for his upcoming trip to Germany. If $2 can be exchanged for 1.78 Euros,how many Euros will Roscoe have?
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Answer:
€107.69
Step-by-step explanation:
If $2=€1.78 then $1= €0.89
0.89*121= €107.69
The 107.69 Euros will Roscoe have for trip to Germany.
It is required to find how many Euros will Roscoe have for trip to Germany.
What is arithmetic?The arithmetic refers to working with numbers by doing addition, subtraction, multiplication, and division. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.
Given:
Roscoe is exchanging $ 121 for Euros.
If $2 can be exchanged for 1.78 Euros.
$2=€1.78
then $1= €0.89
For $ 121=
=0.89*121
= €107.69
Therefore, the 107.69 Euros will Roscoe have for trip to Germany.
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Can you please work out what x is? I got confused.
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Explanation: Angles around a point add up to 360. So add the known angles of 90 and 164 to get 254. Then take it away from 360 to get 106.
90+164=254
360-254=106
The following are the last 10 run scores Colin got in cricket: 18 , 25 , 28 , 15 , 6 , 18 , 2 , 4 , 25 , 15 a) Work out Colin's mean score. b) Colin plays cricket again on Sunday. He gets 31 runs. What is his new mean score? Give your answers as decimals.
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~Shoto Todoroki here~
Colin's mean score of his 10 runs is 18.8.
Colin's new mean score after the game on Sunday is 20.
Mean is a measure of central tendency. It is used to describe a data set. It is the sum of a set of observations divided by the number of observations. It is also known as average.
Mean = sum of scores / total number of scores.
Colin's mean scores can be determined by dividing the sum of scores by total number of scores.
Sum of scores = (20 + 29 + 34 + 19 + 8 + 12 + 0 + 23 + 29 + 14) = 188
Number of scores = 10
Mean of scores = 188 / 10 = 18.8
Colin's new mean score can be determined by adding 32 to the sum of scores already determined and dividing the sum by the total number of scores.
New sum of scores = 188 + 32 = 220
Number of scores = 11
Mean scores = 220 / 11 = 20
hope this helps :D
What is the surface area of the triangular prism?
how many square feet is there?
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Answer:
SA=2B+A rec. 1+A rec. 2+A rec. 3
Which expressions represent the length of side HT?
Choose 2 answers:
А
8.3.sin(90° - 75)
B
8.3-cos(90° - 75")
8. tan(90° - 75")
tan 90
75
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Answer:
A and C
Step-by-step explanation:
the area of rectangular garden is 27000m2.if the ratio of length and beradth is 10:3 findits perimeter
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Given :
The area of rectangular garden is 27000m² .The ratio of length and breadth is 10 : 3 .⠀
To Find :
The perimeter of the rectangular garden.⠀
Solution :
Let us assume the length as 10x m and breadth as 3x m .
⠀
We know that,
[tex]{ \longrightarrow{\quad \sf \pmb{ Length \times Breadth = Area_{(rectangle)}}} }[/tex]
⠀
Now, substituting the values in the formula :
[tex]{ \longrightarrow{\quad \sf{ 10x \times 3x = 27000 }}} [/tex]
[tex]{ \longrightarrow{\quad \sf{ 30 {x}^{2} = 27000 }}} [/tex]
[tex]{ \longrightarrow{\quad \sf{ {x}^{2} = \dfrac{27000}{30} }}} [/tex]
[tex]{ \longrightarrow{\quad \sf{ {x}^{2} = 900 }}} [/tex]
[tex]{ \longrightarrow{\quad \sf{ {x}= \sqrt{900} }}} [/tex]
[tex]{ \longrightarrow{\quad \bf{ {x}= 30 }}} [/tex]
⠀
Therefore,
Length = 10x m = 10(30) m = 300 mBreadth = 3x m = 3(30) m = 90 m⠀
Now,
We know that,
[tex]{ \longrightarrow{\quad \sf \pmb{Perimeter_{(rectangle)}=2(Length + Breadth) }} }[/tex]
⠀
Substituting the values in the formula :
[tex]{ \longrightarrow{\quad \sf {Perimeter_{(rectangle)}=2(300 + 90) }} }[/tex]
[tex]{ \longrightarrow{\quad \sf {Perimeter_{(rectangle)}=2(390) }} }[/tex]
[tex]{ \longrightarrow{\quad \bf \pmb {Perimeter_{(rectangle)}=780 }} }[/tex]
⠀
Therefore,
The perimeter of the rectangular garden is 780 m .The perimeter of the rectangle whose area is 27000 m² is 780 m.
What is the perimeter of a rectangle?The perimeter of a rectangle is the determinating of all the sides of the rectangle. In the given question, we have the following parameters:
Given that:
The area of the rectangle = 27000 m²The ratio of the length and the breadth is 10: 3It implies that, if the length is 10x, the breadth is 3x
The area of a rectangle = length × breath
27000 m² = (10x) × (3x)
27000 m² = 30x²
x² = 27000/30
x² = 900
x = √900
x = 30
Now, we can say that:
The length = 10(30) = 300The breath = 3(30) = 90The perimeter of the rectangle = 2(length + breadth)
The perimeter of the rectangle = 2(300 + 90)
The perimeter of the rectangle = 780 m
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What is the value of the ?
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Answer:
the answer is
[tex]x = 13a {}^{2} [/tex]
Which describes the correct way to convert minutes to hours? Divide the number of minutes by 24 Multiply the number of minutes by 24 Divide the number of minutes by 60 Multiply the number of minutes by 60 Mark this and return Save and Exit Next Sube
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Answer:
divide the number of minutes to hours
Answer:
Its c which is divide the number by 60
Step-by-step explanation:
I did the quiz and got it right
A statistician at a metal manufacturing plant is sampling the thickness of metal plates. If an outlier occurs within a particular sample, the statistician must check the configuration of the machine. The distribution of metal thickness has mean 23.5 millimeters (mm) and standard deviation 1.4 mm. Based on the two-standard deviations rule for outliers, which is the greatest thickness that would require the statistician to check the configuration of the machine?
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Answer: 26.3 mm
Step-by-step explanation:
According to the two-standard deviations rule for outliers, the values that does not lie within 2 standard deviations from mean are outliers.
If Mean = 23.5 millimeters (mm) and standard deviation = 1.4 mm
Then, greatest thickness need to check = mean + 2 (standard deviation)
= 23.5 + 2(1.4)
= 23.5 + 2.8
= 26.3 mm
hence, the greatest thickness that would require the statistician to check the configuration of the machine = 26.3 mm.
Sarah needs to cut 7 and a half feet of ribbon
into 2 and 2/3 feet pieces. How many pieces will
she be able to make ?
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Answer:
2.625 or 21/8
Step-by-step explanation:
(0.2)^3
A. 0.04
B. 3.2
C. 0.008
D. 0.6
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Step-by-step explanation:
The exponent of a number describes how many times to multiply the number by itself.
[tex](0.2)^3=0.2 \times 0.2\times 0.2[/tex]
Multiply;
[tex]0.2 \times 0.2 \times 0.2[/tex]
[tex]0.04 \times 0.2[/tex]
[tex]0.008[/tex]
[tex]\boxed{C. \: 0.008 \: is \: the \: correct \: option.}[/tex]
1. Change 0.2 into fraction form.
[tex]0.2 = \frac{2}{10}[/tex]
2. Simplify (2/10)³.
[tex](\frac{2}{10})^{3}[/tex]
⇒ [tex](\frac{2}{10})(\frac{2}{10})(\frac{2}{10})[/tex]
⇒ [tex]\frac{8}{1000}[/tex]
3. Change 8/1000 into decimal form.
[tex]\frac{8}{1000} = \frac{0.8}{100} = \frac{0.08}{10} = \frac{0.008}{1} = 0.008[/tex]
Thus, Option C is correct.
The Smith family went to dinner at a restaurant and had a total bill of $120. If they left a tip of $21.60, what percent of the total bill did they leave?
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A factory adds three red drops and two blue drops of coloring to white paint to make each pint of purple paint. The factory will make 50 gallons of this purple paint. How many drops of the red and blue coloring will the factory need in the 50-gallon batch of purple paint?
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Answer:
1200 drops of red and 800 drops of blue.
Step-by-step explanation:
3*50=150 150*8=1200
2*50=100 100*8=800
Multiply by eight because there are 8 pints in a gallon.
Which of the following are factor pairs for 72? You will select two. *
1 point
2 x 36
3 x 18
6 x 12
8 x 8
Answers
Answer:
2 x 36 = 72
6 x 12 = 72
Step-by-step explanation:
Other 2 are not 72.
Answer:
8x8 i think im right though
I need help and can u please show your work please and thank u
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Answer:
Ur mom lol she gave birth to a kid who knows nothin
Step-by-step explanation:
find the square root of √25.65 and correct upto 2 decimal places
Answers
5.06
√25.65 = 5.06458...
so, to round it off to 2.d.p, you just count up to two numbers after the decimal point, these number would be 0 and 6. 6 can not be rounded off because the 4 after it is not bigger than 5.
4.
3. Consider the line
2x + 5y = -10. What is the
slope of the line parallel to this line?
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Answer:
The slope of the parallel line to the line 2x + 5y = -10 is [tex]-\frac{2}{5}[/tex]
Step-by-step explanation:
Parallel lines have equal slopes and different y-intercepts
To find the slope of the line from the equation of the line, then put the equation in the form y = m x + b, where
m is the slopeb is the y-interceptLet us solve the question
∵ The equation of a line is 2x + 5y = -10
→ Put the equation in the form above
→ Subtract x from both sides to move 2x from the left side to the
right side
∴ 2x - 2x + 5y = -10 - 2x
∴ 5y = -10x - 2x
→ Make the coefficient of y equal 1 by dividing all terms by 5
∵ [tex]\frac{5y}{5}=-\frac{10}{5}-\frac{2x}{5}[/tex]
∴ y = -2 - [tex]\frac{2}{5}x[/tex]
→ Compare it by the form of the equation above
∴ m = [tex]-\frac{2}{5}[/tex]
∴ The slope of the given line is [tex]-\frac{2}{5}[/tex]
→ We need the slope of the line which is parallel to the given line
∵ Parallel lines have the same slopes
∴ The slope of the parallel line to the line 2x + 5y = -10 is [tex]-\frac{2}{5}[/tex]
A grocery store sells a bag of 7 oranges for $1.75. What is the cost of oranges, in dollars per orange
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Solve for X -3x + 6 = -21
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Answer:
x=9
Step-by-step explanation:
subtract the 6 on both sides: -3x+6=-21
-6. -6
divide -3 on both sides: -3x=-27
÷-3. ÷-3
after dividing u get x alone and and the answer which is: x=9
Sarah had a pizza party at her house. Her friend Kate ate 1.8 of the pizza how much of the pizza was left?
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Answer:
8.2, (I think... probably)
Step-by-step explanation:
Explain whether the following graph represents a function. Why or why not?
A- yes each x-value has a unique y-value
b- yes each x-value has a y-value that is not negative
c- no there is no negative y-values
d- no the graph is not liner
Answers
Answer:
no x values repeat, so yes it is a function
Step-by-step explanation:
a mathematical equation to define a relation whose second component y is 5 less than the first component x .
Answers
Explanation, y is 5 less than x
In mathematical terms, “is” can always be translated to =
Hope this helped
Which model can be used to show the sum of one and two fifths plus one and two fifths
A number line from zero to four partitioned into fifths. There is one hop of one and two hops of one fifth from one and two fifths to two and four fifths.
A number line from zero to four partitioned into fifths. There are two hops of one and one hop of one fifth from one and one fifth to three and two fifths.
A number line from zero to one partitioned into fifths. There is a gray rectangle above the number line stretching from zero to one and two fifths. To the right is a lighter gray rectangle above the number line stretching from one and two fifths to three and three fifths.
A number line from zero to one partitioned into fifths. There is a gray rectangle above the number line stretching from zero to one and two fifths. To the right is a lighter gray rectangle above the number line stretching from one and two fifths to three and three fifths.
Answers
A, a number line from zero to four partitioned into fifths. There is one hop of one and two hops of one-fifth from one and two-fifths to two and four-fifths :)
Answer: it’s A. I think
Step-by-step explanation: I hope this helps!
A plane travels at a constant speed. It take 5 hours to travel 6,250 miles. What is the plane's speed in miles per hour?
Answers
Answer:
1,250 miles/hour
Step-by-step explanation:
To find miles per hour - [tex]\frac{6250 miles}{5 hours}[/tex].
If 1000 feet of fencing material was given to Ashley to enclose a dog yard, what dimensions will maximize the area of the dog yard?
Answers
Answer:
250 feet by 250 feet
Step-by-step explanation:
The largest area that can be closed is a square, so divide 1000 by 2 to determine the length and width of the yard. Length is 250 feet, and width is 250 feet.
Hopefully this helps - let me know if you have any questions!
What fraction is not equivalent to 1/5
Answers
Answer:
1/4
Step-by-step explanation:
Answer:
2/5 I'm so confused rn but okay