Answer:
twenty three and 13 hundredths
Answer:
Twenty three point thirteen
Write the expression in complete factored form. 3x(x + 4) - 8 (x + 4)
Answer:
Step-by-step explanation:
(3x - 8) (x + 4)
if you are looking for the zeroes they are
8/3, -4
Layla randomly chose a marble from a bag containing 3 red marbles, 2 blue marbles, and 3 yellow marbles. Write the probability in decimal form that she will choose a red marble
If Layla randomly chose a marble from a bag containing 3 red marbles, 2 blue marbles, and 3 yellow marbles, the probability that she will choose a red marble is 0.375.
Therefore the answer is 0.375.
Layla has 3 red marbles, 2 blue marbles, and 3 yellow marbles in her bag. So total number of marble in her bag is obtained by adding them as
3 + 2 + 3 = 8
And the number of red marble she has is 3.
The probability of selecting 1 red marble from a set of 8 marbles if 3 of the marbles are red is equal to the number of red marbles, divided by the total number of marbles.
Probability = 3/ 8
Probability = 0.375
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Can you pleas help me with both!!!!!!!!!!!!!!!!!!!!
The difference in the values of the two cars when they are each 7 years old is equal to $6,000.
How to calculate the slope of a line?In order to determine the difference in the values of the two cars, we would have to write an equation that models the price of the cars after a length of time, by using the data points shown in the graph above.
Mathematically, the slope of any straight line can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
For Car A, we have:
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (9 - 12)/(4 - 2)
Slope, m = -3/2
Slope, m = -1.5
At point (4, 9), a linear equation for car's value can be calculated by using the point-slope form:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y represent the points.c represent the y-intercept.Substituting the given points into the formula, we have;
y - y₁ = m(x - x₁)
y - 9 = -1.5(x - 4)
y = -1.5x + 15
In 7 seven years, the value of Car A is given by:
y = -1.5x + 15
y = -1.5(7) + 15
y = $4,500
Note: The negative sign indicates that the value of the car is depreciating.
For Car B, we have:
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (10 - 18)/(5 - 1)
Slope, m = -8/4
Slope, m = -2
At point (5, 1), a linear equation for car's value can be calculated by using the point-slope form:
y - y₁ = m(x - x₁)
y - 1 = -2(x - 5)
y = -2x + 11
In 7 seven years, the value of Car B is given by:
y = -2x + 11
y = -2(7) + 3.5
y = $10,500
Now, we can determine the difference as follows:
Difference = $10,500 - $4,500
Difference = $6,000.
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What is the equation in point-slope form of the line that passes through the point (-1,-4)
and has a slope of -3? It had to be graphed.
Answer:
y + 4= -3(x + 1)
y = -3x - 7
Step-by-step explanation:
how many perfect squares are there between 2 and 140
Answer:
11
Step-by-step explanation:
4, 9, 16, 25, 36, 49, 64, 81, 100, 121
There are 10 numbers who are perfect squares.
What is Square of a number?When an integer is multiplied by the same integer, the resultant number is known as a square number. For example, when we multiply 5 × 5 = 52, we get 25. Here, 25 is a square number. Square numbers are always positive, they cannot be negative because when a negative number is multiplied by the same negative number, it results in a positive number.
Properties of Square NumbersThe properties of square numbers are listed below which helps to identify them easily.
Square numbers always end with the digits 0, 1, 4, 5, 6, and 9. For example, 25, 49, 81, 100, etc are perfect squares, whereas, 37, 48, 22, etc are not considered to be perfect square numbers.The number of zeros at the end of a square number is always even. This means if a number has an odd number of zeros at the end, then the number is not a square number. For example, 400, 3600 are square numbers, whereas, 10, 250, and 360 are non-square numbers.If a number has 1 or 9 as its last digit, then its square number ends with 1. For example, the square of 9 is 81, and the square of 11 is 121.If a number has 4 or 6 as its last digit, then its square number ends with 6. For example, the square of 4 is 16, and the square of 26 is 676.The square of even numbers is always even, and the square of odd numbers is always odd. For example, the square of 12 is 144, and the square of 13 is 169.Square numbers are always positive because two negative signs multiplied by each other result in a positive sign. For example, (-6)2 = -6 × -6 = 36 . Here, the product is 36 and it is a positive square number.Given:
2 and 140
Now, the perfect squares are:
√4=2
√9=3
√16 =4
√25=5
√36=6
√49=7
√64=8
√81=9
√100=10
√121=11
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Find the distance of (2,5) and (-1,3)
Answer:
\(\sqrt{13}\)
Step-by-step explanation:
Use the distance formula:
\(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}\)
Insert the values:
\((2_{x1},5_{y1})\\\\(-1_{x1},3_{y2})\\\\\\sqrt{(-1-2)^2+(3-5)^2}\)
Simplify:
\(\sqrt{(-1-2)^2+(3-5)^2}\\\\ \sqrt{(-3)^2+(-2)^2}\\\\ \sqrt{9+4}\\\\\sqrt{13}\)
The distance between the two points is the square root of 13.
:Done
Answer: \(\sqrt{13}\) or 3.61
Step-by-step explanation:
\(\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\)
\(\sqrt{\left(-1-2\right)^2+\left(3-5\right)^2}\)
\(\sqrt{9+4}\)
\(=\sqrt{13}\)
Which expression represents the volume of the prism, in cubic centimeters? 9x2 + 7x 14x2 + 7x 16x2 + 14x 28x2 + 14x.
Answer:
Step-by-step explanation:here is a example:Recall that the volume of a regular prism is given by the area of the base times the height.
Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.
Recall that the are of a triangle is given by 1/2 base times height.
Thus the area of of the pentagon base of the prism is given by
Therefore, the volume of the prism is given by volume=7x(2x+1)=14x2+7x
what is the volume of a cylinder in cubic cm with a height of 9cm and a base diameter of 16cm round to the nearest tenths place
(Beautiful Mind) There is an interesting scene in A Beautiful Mind in which John Nash's character discovers his equilibrium concept. The setup is that there are four men and five women at a bar, and each man must simultaneously walk over to a woman. One of the women, who is blonde, is considered to be more desirable than the other four, who are all brunettes. Although the men all prefer the blonde to the brunettes, if they all go for the blonde they will "block each other" (according to the logic of the movie) and end up unsuccessful; moreover, after going for the blonde, they cannot then go to a brunette because the brunette would be offended at being someone's second choice and would turn down the man. Nash's character then realizes that what ought to happen is for each of the four men to choose a brunette. Let's try to put this situation in a game theoretic model by using a to denote the payoff a man would receive if another man goes for the same woman he does (here there are assumptions that it is possible to "block each other" on brunettes and that being "blocked" on a brunette gives the same payoff as being "blocked" on a blonde, although this is not important for the problem). We'll use b to refer to a man's payoff if he is the only man to go for a woman and that woman is a brunette. We'll use c to refer to a man's payoff if he is the only man to go for a woman and that woman is blonde. The natural restrictions on payoffs are a < b < c. Is there a pure strategy Nash equilibrium where each man ends up with a brunette? What are the pure strategy Nash equilbria? How do these answers change if the blonde turns down everyone (meaning that the payoff to going to the blonde is a, regardless of how many men choose her)? [Hint: classify situations based on how many men go to the blond woman.]
In the absence of the blonde turning down everyone, the pure strategy Nash equilibrium is for all men to choose brunettes. If the blonde turns down everyone, the pure strategy Nash equilibrium remains the same: all men choosing brunettes.
How to explain the Nash equillbriumIn this case, all four men choose brunettes. Since no man is going for the blonde, their payoff is b if they are the only man going for a brunette. This scenario is a pure strategy Nash equilibrium because no man has an incentive to deviate.
If one man goes for the blonde, his payoff is c. The other three men choose brunettes, resulting in a payoff of b. This situation is not a Nash equilibrium because the man going for the blonde has an incentive to deviate and choose a brunette instead, increasing his payoff to b.
Since the payoffs are the same for any number of men going for the blonde, the pure strategy Nash equilibrium is for all men to choose brunettes. Each man's payoff will be b, regardless of whether they choose the blonde or a brunette.
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show me how to do the work please
x/2 + 7 < -3
Multiply both the sides by 2.
x + 14 < -6
Now subtract 14 from both the sides.
x < -6 - 14
=》x < -20
_______
RainbowSalt2222 ☔
For which number does the 9 have the least?
1. 9.001
2. 7.079
3. 0.9
4. 0.29
Answer:
2. 7.079
Step-by-step explanation:
The nine on the second choice is on the thousandths place. The nines on the other options are higher.
Hope this helps!
What two numbers multiply to get -48 add to 4
Answer: -12 x 4
Step-by-step explanation:
12 times 4 is 48
Rule: A negative multiplied by a positive, will always give you a negative.
So, -12 is a negative number and 4 is a positive number.
Negative x Positive = Negative
Positive x Negative = Negative
-12 x 4 = -48
Answer:
2 - \(\sqrt{52}\) and 2 + \(\sqrt{52}\)
Step-by-step explanation:
let the 2 numbers be x and y , then
x + y = 4 ( subtract x from both sides )
y = 4 - x → (1)
xy = - 48 → (2)
substitute y = 4 - x into (2)
x(4 - x) = - 48
4x - x² = - 48 ( multiply through by - 1 )
x² - 4x = 48
solve using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 2) x + (- 2)² = 48 + (- 2)²
(x - 2)² = 48 + 4 = 52 ( take square root of both sides )
x - 2 = ± \(\sqrt{52}\) ( add 2 to both sides )
x = 2 ± \(\sqrt{52}\)
substitute this value into (1)
y = 4 - (2 ± \(\sqrt{52}\) ) = 4 - 2 ± \(\sqrt{52}\) = 2 ± \(\sqrt{52}\)
then the 2 numbers are
2 - \(\sqrt{52}\) and 2 + \(\sqrt{52}\)
Suppose you are producing an outdoor festival. You estimate that you will make $200000 if it does not rain! and make $45000 if it does rain. The weather bureau predicts that the chance of rain is 46% for the day of the concert. What are your expected earnings for the festival?
The expected earnings for the festival is $128,700.
What is the expected earnings?
Probability is used to determine the chance that a random event would happen. The chance that the random event occurs lie between 0 and 1 or between 0% and 100%. The more likely it is that an event would happen, the more closer to one or hundred percent, the probability value is.
The chance it does not rain = 100% - chance it rains
100% - 46% = 54%
The expected earnings is a function of the chance that it rains, chance it does not rain and the amount that it would earn if it rains or it does not rain.
Expected earnings = (chance it would rain x amount you would earn if it rains) + chance it does rain x amount you would earn if does not rain)
($200,000 x 0.54) + ($45,000 x 0.46)
108,000 + 20,700 = $128,700
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Help me I'm stuck on this problem!!!! 10 points
12y² + 5x - 2 = ?
Answer:
5x^2 + 17xy - 12y^2
5x^2 + 5xy + 12xy - 12y^2
5x (x - y ) + 12 y ( x - y )
(5x + 12y ) (x-y).
Step-by-step explanation:
D is the answer
You’re welcome
Answer:
uh...thanks?
Step-by-step explanation:
Answer:
Step-by-step explanation:
thannk you
Choose the best answer. Let X represent the outcome when a fair six-sided die is rolled. For this random variable,
μX=3.5 and σX =1.71.
If this die is rolled 100 times, what is the approximate probability that the total score is at least 375? (a) 0.0000 (b) 0.0017 (c) 0.0721 (d) 0.4420 (e) 0.9279
The approximate probability that the total score is at least 375 when a fair six-sided die is rolled 100 times is (d) 0.4420.
When a fair six-sided die is rolled, the random variable X represents the outcome. The mean (μX) of X is 3.5, and the standard deviation (σX) is 1.71.
To find the probability that the total score is at least 375 when the die is rolled 100 times, we can use the Central Limit Theorem. According to the theorem, the sum of a large number of independent and identically distributed random variables approximates a normal distribution.
In this case, the sum of the outcomes of 100 rolls of the die follows a normal distribution with a mean of μX multiplied by the number of rolls (100) and a standard deviation of σX multiplied by the square root of the number of rolls (10). Therefore, the approximate probability can be calculated by finding the probability that the sum is greater than or equal to 375.
Using a normal distribution table or a calculator, we can find that the approximate probability is 0.4420, which corresponds to answer (d). This means that there is a 44.20% chance that the total score will be at least 375 when the die is rolled 100 times.
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a sample of households in a community is selected at random from the telephone directory. in this community, 7% of households have no telephone, 12% have only cell phones, and another 24% have unlisted telephone numbers. the sample will certainly suffer from
The sample probability is Undercoverage.
According to the data, 2% of families have no telephone, 14% have just cell phones, and another 25% have unregistered phone numbers. Because the facility is only available to a segment of the population and not the entire population, it falls within coverage.
Undercoverage happens when a component of the sample population is not represented on the surveyed frame and hence has no possibility of being selected in the sample population; that is, the element has a zero probability of being selected.
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You purchase a computer for $875.00 plus 5% sales tax.
You decide to finance it through the store's 0% program for 12 months. The terms state you pay nothing until the 12 months are over. When you receive the
bill, you forget to pay it and are assessed a late fee of $39.00 plus the interest accrued to that point at 14.25% APR. How much interest will you be charged?
O $130.25
• $130.92
O $136.48
O $124.69
You will be required to pay $130.92 in interest. So, option 2 is correct.
What is meant by interest?Simple interest is calculated using the following formula: Simple Interest (SI) is calculated as P R T / 100. P stands for the principal sum, R for the interest rate, and T for the interest period. The total amount due is the sum of the principal plus the simple interest, or P + SI.
This specific percentage represents the loan's interest rate. The cost of borrowing money is called interest, and it is usually expressed as a percentage, such as an annual percentage rate (APR). Interest may be paid to lenders for the use of their money.
You shell out $875.00 for a PC plus 5% sales tax.
Thus, the final price is 875+(0.05875)
= $918.75.
Rate per month: 14.25/12/100
= 0.011875
So, the rate for a year is 12 x 0.011875
=$130.92.
Therefore, you will be required to pay $130.92 in interest.
Hence, option 2 is correct.
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Urgent!!
On a math test, a group of students received the following scores:
68, 98, 86, 75, 86, 94, 75, 81, 75
Find the MEDIAN of the test scores.
Answer:
82 is the median
Step-by-step explanation:
a cliff overlooking dover lake is experiencing erosion, losing elevation at a rate of 5% every millennium. the cliff's current elevation is 1,519 meters. what will its elevation be in 10 millennia?
To calculate the cliff's elevation in 10 millennia, we need to use a little bit of math.
Since the cliff is losing elevation at a rate of 5% every millennium, we know that after one millennium, the cliff's elevation will be 95% of its current elevation. Therefore, we can use this formula to calculate the cliff's elevation after three millennia:
1,519 meters * 0.95^10 = 601.83 meters
So, after 10 millennia, the cliff's elevation will be approximately 601.83 meters. This means that the cliff will have lost approximately 917 meters of elevation over the course of 10,000 years due to erosion.
Finally, by applying the formula, we can determine the cliff's elevation in 10 millennia. After doing the calculation, we find that the final elevation will be approximately 744.29 meters.
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Consider the equation 1.2x + 4.8y = 18
If we graph the equation, what is the slope of the graph?
Answer:
-1/4
Step-by-step explanation:
For this equation, first divide both sides by 1.2, to get x+4y=15. Then, subtract x from both sides. Now, with 4y=-x+15, divide by 4. You should get y=-1/4x+15/4 (15/4=3 3/4 or 3.75). The formula y=kx=b, where k is slope, means the slope is -1/4.
Makayla mows two lawns the first lawn in 10 feet lawn and 7 feet wide the area of the second lawn is 7 times as big but has the same width as the first what it the length of the second lawn
The second lawn that Makayla mows has a length of 70 feet.
If the first lawn Makayla mows is 10 feet long and 7 feet wide, use the formula for the area of rectangle to know the area of the first lawn.
A = l x w
Area of first lawn = 10 feet x 7 feet
Area of first lawn = 70 ft^2
If the area of the second lawn is 7 times as big as the first, then the area of the second lawn is:
Area of second lawn = 7 x Area of first lawn
Area of second lawn = 7 x 70 ft^2
Area of second lawn = 490 ft^2
If the second lawn has the same width as the first, which is 7 feet, using the formula for the area of a rectangle, solve for the length of the second lawn.
A = l x w
Area of second lawn = l x w
490 ft^2 = l x (7 feet)
l = 70 feet
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Solve for f. -3/4f = 5/4
Answer:
f = -5/3
Step-by-step explanation:
-3/4f = 5/4
Multiply each side by -4/3 to isolate f
-4/3*-3/4f = 5/4*-4/3
f = -5/3
Answer:
Hey there!
We have -3/4f=5/4
Multiply both sides by -4/3, to cancel out the -3/4.
f=-5/3
Hope this helps :)
2 x [(29-6)-[(6+5)]
please show work!
Answer:
Not sure, read steps.
Step-by-step explanation:
First do the ()
29 - 6 = 23
6 + 5 = 11
SUBTRACT THE INTEGERS:
23 - 11 = 12
So, 2 x 12 = 24.
please helpppppppppppppppppppppppppppppppppppp
Answer:
the answer is 6.33 = y for this
Answer:
Wouldn't that be 6.33?
Step-by-step explanation:
Cause you would just subtract 8.53 minus 2.2?
A person invests 3500 dollars in a bank. The bank pays 4% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 5400 dollars?
Answer:
10.9 years
Step-by-step explanation:
Quarterly compounded means that the principal or starting amount earns interest 4 times per year. Accrued means that amount reached, $5,400 in this case. The the variable t represent the time in years.
\(t = \frac{ln(\frac{Accrued}{Starting}) }{4(ln(1+\frac{0.04}{4}) }\)
\(t = \frac{ln\frac{5400}{3500} }{4(ln(1.01))}\)
Put this into a calculator, because it is not at all easy to calculate natural logarithms by hand.
t = 10.895 years
Round to the nearest tenth.
t = 10.9 years
A proportional relationship is linear.
True or False
Answer:
True
Step-by-step explanation:
Yes, A proportional relationship is linear.
Use the normal distribution of SAT critical reading scores for which the mean is 501 and the standard deviation is 121. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 625? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 575? (a) Approximately % of the SAT verbal scores are less than 625 (Round to two decimal places as needed.) (b) You would expect that approximately SAT verbal scores would be greater than 575. (Round to the nearest whole number as needed.)
Normal distribution with mean 501 and standard deviation 121: 84.85% of SAT verbal scores are less than 625 and 271 out of 1000 randomly selected scores are expected to be greater than 575.
We will use the normal distribution with a mean of 501 and a standard deviation of 121 to answer the following questions about SAT critical reading scores:
(a) To find the percentage of SAT verbal scores less than 625, we will first calculate the z-score for 625:
z = (x - mean) / standard deviation
z = (625 - 501) / 121 ≈ 1.0
Next, we use a z-table or an online calculator to find the area to the left of z = 1.03, which represents the percentage of scores less than 625. The area to the left of z = 1.03 is approximately 0.8485 or 84.85%.
So, approximately 84.85% of the SAT verbal scores are less than 625.
(b) To find the number of SAT verbal scores greater than 575 out of 1000 randomly selected scores, first calculate the z-score for 575:
z = (575 - 501) / 121 ≈ 0.61
Now, use a z-table or an online calculator to find the area to the right of z = 0.61, which represents the percentage of scores greater than 575. The area to the right of z = 0.61 is approximately 1 - 0.7291 = 0.2709 or 27.09%.
We expect 27.09% of the scores to be greater than 575, so out of 1000 randomly selected scores:
1000 * 0.2709 ≈ 271 (rounded to the nearest whole number). You would expect that approximately 271 SAT verbal scores would be greater than 575.
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if you roll six fair six-sided dice one time, what are the chances that at least one of the dice will come up a five? g
There is a probability of 66.5 % chance of it landing on a 5 at least once in 6 dice.
Because there are six faces on a die, you have an even chance of the dice landing on one of these faces each time you roll:
This means that each time that you roll, there is a 5/6 chance that you will not roll a 5.
The probability of not rolling a 6 twice is 5/6 or 69.4%.
Roll the die six times, and the probability of not rolling a 5 is
(5/6) * (5/6) * (5/6) * (5/6) * (5/6) * (5/6) * (5/6)
= (5/6)⁶
= 33.5%
Therefore, the probability of rolling a 5 at least once in 6 dice
= 100% - 33.5%
= 66.5%
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true/false: a base class cannot contain a pointer to one of its derived classes.
The statement a base class cannot contain a pointer to one of its derived classes is false because a base class can indeed contain a pointer to one of its derived classes.
In object-oriented programming, a base class can have a pointer to one of its derived classes. This is known as upcasting or polymorphism. Upcasting allows for the flexibility of treating derived class objects as instances of the base class.
By using pointers, a base class can refer to derived class objects and access their member functions and variables. This enables the base class to work with different derived classes without needing to know their specific types.
Pointers to derived classes can be stored in base class member variables or passed as function parameters. This allows for dynamic binding and the ability to invoke overridden functions based on the actual derived class type at runtime.
This concept is fundamental to achieving polymorphism and code reusability in object-oriented programming languages like C++ and Java. It facilitates the implementation of inheritance hierarchies and the ability to work with objects of different derived classes through a common base class interface.
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