Answer: 15 29/64
Step-by-step explanation: Convert the mixed numbers to fractions. 43/8 times 23/8. This would equal 989/64 and if you simplify that, it would be 15 29/64.
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A bag has 12 different-colored marbles: 4 green, 5 blue, 1 yellow, and 2 orange. You draw a marble from the bag. If you get an orange marble or yellow marble, you win a prize.
Answer these questions:
a. What is the theoretical probability of winning the game? Show your work..
b. What is the most likely outcome? Use probabilities to support your answer, and show your work.
c. What is the least likely outcome? Use probabilities to support your answer, and show your work.
d. Is it more likely that players will win or lose playing the game? Explain why.
Answer:
Step-by-step explanation:
4+5+1+2=12
1+2=3
4+5=9
12 - all marbles
4 - green marbles
5 - blue marbles
1 - yellow marble
2 - orange marbles
3 - yellow and orange marbles
9 - green or bule marbles
a. [tex]\frac{3}{12}[/tex] win only when draw 1 yellow or 1 of 2 orange.
b. [tex]\frac{5}{12}[/tex] the mostly likly outcom is for blue marbles, (more than other colour in bag)
c. [tex]\frac{1}{12}[/tex] the least likly outcom is for yellow marble, (less than other colour in bag)
d. [tex]\frac{9}{12}[/tex] propability of lose
[tex]\frac{9}{12} > \frac{3}{12}[/tex] player will lose more likly than win.
Julian sells 4 pieces of artwork for $72, and each piece is sold at the same rate.
How much does one piece of Julian's artwork cost?
Answer:
The answer is $18
Step-by-step explanation:
To solve this all you would do is divide $72 by 4 to get $18
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The number of cheese produced in 2006 is 7.8 thousand
The number of cheese produced in 2014 is 9.8 thousand
What is the quantity of cheese produced?The given equation that models the growth of cheese is known as an exponential equation. An exponential equation is a non-linear equation.
The given exponential equation is y = 7.1(1.03)^x
Where:
7.1 = quantity of cheese produced in 2003 1.03 = growth rate of cheese x = number of yearsNumber of cheese produced in 2006 = 7.1(1.03)^3 = 7.8 thousand
Where x = 2006 - 2003 = 3
Number of cheese produced in 2014 = 7.1(1.03)^11 = 9.8 thousand
Where x = 2014 - 2003 = 11
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The table compares the average daily temperature and ice cream sales each day.
Temperature (°F) Ice Cream Sales
56.1 $107
60.3 $116
64.2 $120
66.4 $122
71.3 $125
73.9 $130
74.2 $132
75.2 $135
80.1 $141
84.8 $152
What is the slope of the line of best fit, where x represents the average daily temperature and y represents the total ice cream sales? (Round your answer to one decimal place.)
6.3
4.2
2.8
1.4
The slope of the line of best fit, where x represents the average daily temperature and y represents the total ice cream sales, is of:
1.4.
How to obtain the line of best fit?The line of best fit is obtained inserting the points of data, given either in a table or in a scatter plot, in a linear regression calculator.
The format of the line of best fit is the same as of a standard linear function, as follows:
y = mx + b.
In which the parameters are given as follows:
m represents the slope.b represents the y-intercept.For this problem, the points are given as follows:
(56.1, 107), (60.3, 116), (64.2, 120), (66.4, 122), (71.3, 125), (73.9, 130), (74.2, 132), (75.2, 135), (80.2, 141), (84.8, 151).
Inserting these points into a calculator, the equation is presented as follows:
y = 1.4x + 26.8.
Hence the slope of the function is of:
m = 1.4.
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George invet $500 in hi friend' tartup company. Hi friend agree to give him 8% of the original invetment each year for the next 3 year. Write a linear function for thi ituation
etyjy6rjtyhyjry6hytkj87u
The linear equation for this situation is
3y = 500+40x
Geroge invest in his friend's startup = $500
let the number of year = y
His friend agree to give 8% of his investment = 500*8/100
=4000/100
= $40
total money given by his friend = x
so the total return of george would be sum of his investment and his interest of each year.
the number of year is 3, so
y = 3y
so the equation be:
3y = 500+40x
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A diver i 5 feet ea level. He decend an additional 3 feet. What integer repreent the dive' location now?
If a diver descends 5 feet below sea level and descends an additional 3 feet, then the integer representation of the diver's location is -8 feet
The number of feet that diver descends below sea level = -5 feet
Which is represented by negative number because which is below sea level, The sea level considered as the reference level that is represented as zero.
Then the diver descends an additional 3 feet
Then the diver's location = The number of feet that diver descends below sea level - 3 feet
Substitute the values in the equation
= -5 - 3
= - 8 feet
Hence, if a diver descends 5 feet below sea level and descends an additional 3 feet, then the integer representation of the diver's location is -8 feet
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94mi? ft i need help witht
Answer:
496,320 feet
Step-by-step explanation:
94 miles x [tex]\frac{5280 feet}{1 mile}[/tex] = 496320 feet
Dennis made an extra $245.00 for selling furniture. The extra $245.00 was 7% of the total value of the furniture he sold. What was the total value of the furniture Dennis sold?
Answer:
Option A
Step-by-step explanation:
Dennis made an extra $245.00 for selling furniture. The extra $245.00 was 7% of the total value of the furniture he sold. What was the total value of the furniture Dennis sold?
245 = 0.07x
divide both sides by 0.07:
245/0.07 = 0.07x/0.07
x = $3,500
Option A
Find the nth term of this quadratic sequence
3, 11, 25, 45, .
The term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.
Given,
In the question:
The quadratic sequence is :
3, 11, 25, 45, ...
To find the nth term of the quadratic sequence.
Now, According to the question;
The first term of the sequence is 3, the second term is 11, the third term is 25, and the fourth term is 45.
The difference between the first and second terms can be calculated as follows:
11-3 = 8
The difference between the second and third terms can be calculated as follows:
25-11 = 14
The difference between the third and fourth terms can be calculated as follows:
45-25 = 20
The sequence is expressed as follows:
3,3+8,11+11,25+20,...
The difference between consecutive terms expands by 6.
Use the principle of mathematical induction.
6[tex](\frac{n(n+1)}{2} )[/tex]
= 3n(n+1)
The sequence's nth term can be calculated as follows:
term = 3n(n+1) - 4n + 1
= 3n² - n + 1
Hence, the term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.
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i need omg omg dis is hard prob not
Answer: The denominator
Step-by-step explanation:
Remember what I said last time?
The numerator is the number on top
The denominator is the number on the bottom
And the fraction line is well, the line!
Try to remember that the numerator is on top and the denominator is on the bottom.
The way I remember is how both bottom and denom end with the same syllable!
Answer: Denominator.
Step-by-step explanation:
The denominator is the bottom, the fraction line separates the numerator (top number) and denominator (bottom number), and a integer is a whole number.
875²-125² factorise the following fully
Answer:
750000
Step-by-step explanation:
Part 1: a fisherman standing down river from a large hydropower dan notices that the water level is at its lowest point of 24 inches at 8am and then at its highest point of 38 inches at 10:30am. Sketch a graph of the rivers water level, then write an equation that models the depth of the water in inches as a function of time in hours.
Part 2 : there is a section of the river where the fish become the most active when the river’s depth is above 35 inches. He works from 9am to 5pm but wants to fish during a period of time when fish are the most active. Between which times of the day should he try to fish?
1. The cosine function that models the situation is:
y = 7cos(0.4πx) + 31.
2. The times of the day that he should try to fish are between 12:15 pm and 1:45 pm.
What is a cosine function?The cosine function is defined by the rule as follows:
g(x) = acos(bx+c)+d.
The coefficients have the roles listed as follows:
a: amplitude.b: The period is of 2pi/B.c: phase shift.d: vertical shift.The amplitude is given by half the difference of the highest and of the lowest value, hence:
a = 0.5 x (38 - 24) = 7.
The vertical shift is of d = 31, as a standard cosine function with amplitude 7 varies between -7 and 7, not between 24 and 38.
The difference in the inputs between the maximum and the minimum value is of half the period, hence the period in hours is obtained as follows:
Period = 2.5 hours/0.5 = 5 hours.
Thus the coefficient B of the function is:
2π/B = 5
B = 2π/5
B = 0.4π.
There is no phase shift, as we suppose 8 a.m. as the time zero.
Hence the equation is:
y = 7cos(0.4πx) + 31.
He should try to fish when the depth is above 35 inches, hence, from the graph, these are the times in which the function is above the horizontal line y = 35, hence:
Between 12:15 pm and 13:45 pm.
As:
4.23 hours after 8 am is around 12:15 pm, as 0.23 hours = 0.23 x 60 minutes.5.766 hours after 8 am is around 1:45 pm.More can be learned about cosine functions at https://brainly.com/question/28574324
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On the seventh grade trip to Washington DC for every 8 students there were 3 chaparones twelve chaperones were needed how many students went on the trip
Answer:
32
Step-by-step explanation:
i hope this helped
What is the slope of the line graphed below?
A. -2
B. 2
C. 2
D.-2/2
Answer:
if this is not corecct do not blame me
-2/2
Step-by-step explanation:
What is the solution to the system of equations y 2 3x 3 x 2?.
The solution of two equations y=(2/3)x + 3 and x=-2 is [tex](-2,5/3)[/tex]
Define an equation .
A mathematical statement that shows that two mathematical expressions are equal.
What is a Subsitution method ?
The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
The given two equations are y=[tex]\frac{2}{3}[/tex]x + 3 and x=-2
So on subsituting x=-2 in another given equation ,we get
y=[tex]\frac{2}{3}[/tex] (-2) +3
=[tex]\frac{-4}{3}[/tex] + 3
On taking LCM both sides ,we get
y=[tex]\frac{(-4+9)}{3}[/tex]
= [tex]\frac{5}{3}[/tex]
Hence ,the solution of the system of equations is (x,y) is ([tex]-2,\frac{5}{3}[/tex])
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Correct question:
What is the solution of two equations y=(2/3)x + 3 and x=-2 ?
The solution of two equations y=(2/3)x + 3 and x=-2 is [tex](-2, \frac{5}{3})[/tex]
Define an equation .A mathematical statement that shows that two mathematical expressions are equal.
What is a Subsitution method ?The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
The given two equations are y = [tex]\frac{2}{3}[/tex]x + 3 and x=-2
So on substituting x=-2 in another given equation ,we get
y = [tex]\frac{2}{3} \times (-2) + 3[/tex]
= [tex]\frac{-4}{3} + 3[/tex]
On taking LCM both sides ,we get
y = [tex]\frac{(-4 + 9)}{3}[/tex]
= 5/3
Hence ,the solution of the system of equations is (x, y) is [tex](-2, \frac{5}{3})[/tex]
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Correct question: What is the solution of two equations y=(2/3)x + 3 and x=-2 ?
Find the cost to the nearest cent. $72.95 jacket; 4% tax need help what the answer pls
Solve the equation. Check your solution. 4(3/8x + 3) - x =8(1/4x - 3) + 6
i broke it down to the lowest so it should be x=20
Jacqueline bought a bicycle at wholesale cost for $210 dollars. If the bicycle is normally $300 from the local bike shop, what is the percent markup the bike shop adds to the wholesale cost?
If Jacqueline bought a bicycle at wholesale cost for $210 dollars. If the bicycle is normally $300 from the local bike shop, Then 30% markup the bike shop adds to the wholesale cost
What is Percentage?Percentage, a relative value indicating hundredth parts of any quantity.
Given,
Jacqueline bought a bicycle at wholesale cost for $210 dollars.
The actual price of bicycle is normally $300 from the local bike shop.
We need to find the percent markup the bike shop adds to the wholesale cost.
For this we need to find the difference and we have to divide it by actual price
300-210/300=90/300=0.3
Now multiply 0.3 with 100 as hundredths to get the percentage value
0.3×100=30
Hence 30 percent markup the bike shop adds to the wholesale cost
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Graph the points (1,
–
5), (
–
4.5,1), and (3.5,
–
2.5) on the coordinate plane.
The points (1, 5) , (4.5, 1) , (3.5, 2.5) are shown in graph plotted.
What is a Graph?In graph theory, a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related". In a graph the points are plotted using coordinates in the form of (x, y) or (x, y, z) or (r, Ф, z) or (r, θ, Φ) as per need on different types of coordinate graphs.
We have the following coordinates -
(1, 5) , (4.5, 1) , (3.5, 2.5)
The following points are plotted on the graph as shown in the image attached.
For any coordinate -
(x, y)
[x] is plotted along the [x] - axis
[y] is plotted along the [y] - axis
Therefore, the points (1, 5) , (4.5, 1) , (3.5, 2.5) are shown in graph plotted.
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Answer: (1, 5) , (4.5, 1) , (3.5, 2.5)
Step-by-step explanation:
solve pls in a more easy way
[tex] \frac{1}{5 { \frac{2}{3} }^{} } [/tex]
Answer:
[tex]\cfrac{3}{17}[/tex]-------------------------
Given fraction [tex]\cfrac{1}{5\frac{2}{3} }[/tex]Simplify it in below steps[tex]1:5\cfrac{2}{3} =[/tex] Show the fraction as division[tex]1:\cfrac{5*3+2}{3} =[/tex] Make improper fraction[tex]1:\cfrac{17}{3} =[/tex] Simplify[tex]1*\cfrac{3}{17} =[/tex] Convert division into multiplication[tex]\cfrac{3}{17}[/tex] SolutionCannot figure it out.
Answer:
D -6x + 2 = -15
Step-by-step explanation:
-4(3/2 x - 1/2) = -15
-4 × 3/2 x + (-4) × (-1/2) = -15
-6x + 2 = -15
Answer: D -6x + 2 = -15
A recipe uses 300300300 grams of flour for every 200200200 grams of sugar. 1. Write an equation that represents how many grams of flour we need (fff) for some number of grams of sugar (sss).
Ratio is always written as x/y where y can never be zero.
Grams of flour needed for every 200200200 and grams of sugar = 300300300 grams
The equation that represents how many grams of flour we need for some grams of sugar is fff = 222/333
Let’s assume fff as grams of flour and sss as grams of sugar.
So, the ratio for grams of flour:grams of sugar will be,
= fff:sss = 200200200:300300300
Hence, fff = 222/333 × sss
Ratio is a comparison between two things where it tells how much one thing contains the other thing.
Hence the answer is, Ratio is always written as x/y where y can never be zero.
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Answer:
your equation is f = 3/2s so you're going to have to need 750 grams of flour for 500 grams of flour
Find the value of a5
Answer:
20
Step-by-step explanation:
In 2011, it rained 1. 651 x 10 to the 3rd power centimeter in New Orlean. In 2012 it rained another 8. 1 x 10 to the 2nd power centimeter. How many centimeter of rain did New Orlean exprience total?
Which mathematical operation i ued for the problem
New Orlean experience total rain is 2461 centimeters.
Given:
In 2011, it rained 1. 651 x 10 to the 3rd power centimeter in New Orlean. In 2012 it rained another 8. 1 x 10 to the 2nd power centimeter.
Total rain = rain in 2011 + rain in 2012
= 1.651*[tex]10^{3}[/tex] + 8.1*[tex]10^{2}[/tex]
= 1.651*1000+8.1*100
= 1651 + 810
= 2461 centimeters.
Therefore New Orlean experience total rain is 2461 centimeters.
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2(1 +6x) + 2(3-6x) = 7x - 5x
Answer:
Step-by-step explanation:
Rainforests represent 6% of the land on earth, and contain half of all living things. Find the ratio of rainforests to other habitats.
The ratio of the rainforests to other habitats= 3/47
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc to our question-
Rainforests = 6%Other habitats = 100% - 6% = 94%The ratio would there fore be:6%/94%In fraction:6% = 6/100 = 3/5094% = 94/100 = 47/50= 3/47hence,The ratio of the rainforests to other habitats= 3/47
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Could somone help me with this question please
the correct answer is A because 3x1=3
450−[14+(−4)¯¯¯¯¯¯¯¯¯¯¯¯×12−{350÷(−7)+10×5}]=
Answer:
Step-by-step explanation:
330
To assess the accuracy of a laboratory scale, a standard weight that is known to weigh 1 gram is repeatedly weighed a total of n times and the mean of the weighings is computed. Suppose the scale readings are normally distributed with unknown mean and standard deviation g. How large should n be so that a 95% confidence interval for has a margin of error of ± 0. 0008?.
The formula for the sample size in a normally distributed population can be used to calculate the minimal sample size, which is 38416.
Given,
To assess the accuracy of a laboratory scale, a standard weight known to weigh 1 gram is repeatedly weighed a total of n n times and the mean of the weighs are computed.Suppose the scale readings are Normally distributed, with unknown mean m and standard deviation σ = 0.01 grams.Sample size formula;
n = ((z × σ) / E)²
When z is the crucial z-value, E is the margin of error, and σ is the standard deviation.
Now change the known values in the formula above.
n = ((1.96 × 0.01) / 0.0001)²
n = 38416
Therefore,
The minimum sample size for the distribution is 38416.
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g suppose the eigenvalues are real, distinct, and non-zero. [i] if both eigenvalues were positive, how would the equilibrium at (0, 0) be classified?
As previously stated, a system will not be stable if its eigenvalues have any non-negative real parts, the system will be unstable if an eigenvalue has no imaginary part and is equal to zero. A trivial instance of the complex eigenvalue with a zero component exists here.
When both eigenvalues are zero, what takes place?
A zero eigenvalue implies the network being referred to is particular.The null space of the matrix is based on the eigenvectors that correspond to the zero eigenvalues.
When one eigenvalue is zero, what does this mean?
If and only if A is not invertible, then the number 0 is an eigenvalue of A.
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