James has 2 kids, 1 son and 1 daughter. what is the number of James kids.
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Which of the following represents this number written in expanded form? four hundred sixteen and eighty-two hundredths
A 4 × 100 + 1 × 10 + 6 × 1 + 8 × 1 10+ 2 × 1 100
B 4 × 100 + 1 × 10 + 6 × 1 + 80 × 1 10+ 2 × 1 100
C 400 × 100 + 10 × 10 + 6 × 1 + 8 × 1 10+ 2 × 1 100
D 400 × 100 + 10 × 10 + 6 × 1 + 80 × 1 10+ 2 × 1 100
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The expression that represents the number four hundred sixteen and eighty-two hundredths written in expanded form is given as follows:
4 x 100 + 1 x 10 + 6 x 1 + 8 x 1/10 + 2 x 1/100.
How to write a number in expanded form?In mathematics, expanded form is a way to represent a number as the sum of its place values, where each digit is multiplied by its corresponding place value and then added together.
The place values are given as follows:
Four hundred = 4 x 100.Sixteen = 1 x 10 + 6 x 1.Eight-two hundreds = 82/100 = 8 x 1/10 + 2 x 1/100.Hence the expanded form of the number is given as follows:
4 x 100 + 1 x 10 + 6 x 1 + 8 x 1/10 + 2 x 1/100.
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The line passes through points (2,7) and (4,8)
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Answer:
Explanation:
hope it will helps please heart my answer!
Which expression has a value of 3/4
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What is the slope of the trend line drawn into the scatterplot?
A. 15/163
B. 11/109
C. 109/11
D. 163/15
Answers
Answer:
C.) 109/11
Step-by-step explanation:
because I am on the exam right now
What is the best description of originality?
nonobvious
special or interesting
convergent
having a low probability, unique
Answers
Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.
Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.
An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.
Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.
Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.
Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.
In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.
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The Arc Electronic Company had an income of 59 million dollars last year. Suppose the mean income of firms in the same industry as Arc for a year is 45 million dollars with a standard deviation of 7 million dollars. If incomes for this industry are distributed normally, what is the probability that a randomly selected firm will earn more than Arc did last year
Answers
Answer:
0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Suppose the mean income of firms in the same industry as Arc for a year is 45 million dollars with a standard deviation of 7 million dollars
This means that \(\mu = 45, \sigma = 7\)
What is the probability that a randomly selected firm will earn more than Arc did last year?
Arc earned 59 million, so this is 1 subtracted by the pvalue of Z when X = 59.
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{59 - 45}{7}\)
\(Z = 2\)
\(Z = 2\) has a pvalue of 0.9772
1 - 0.9772 = 0.0228
0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year
what is the answer for 4+3x=-56
Answers
Answer:
x=-20
Step-by-step explanation:
3x=-56-4
3x=-60
x=-20
The annual rate, r, it takes for 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².
Find the rate necessary for a dollar to triple in 2 years.
Answers
The rate of interest is 73%.
What is the annual rate?
The term annual percentage rate of charge refers to the interest rate for an entire year rather than just a monthly fee or rate as applied on a loan, mortgage loan, credit card, etc. It can also be referred to as a nominal APR or an effective APR. It is an annual rate of a finance charge.
Given that 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².
A dollar to triple in 2 years.
Thus putting X = 3 in X = (1+r) ²
3 = (1+r) ²
Take square root on both sides:
√3 = 1 + r
Subtract 1 from both sides:
r = √3 - 1
r = 0.73
r = 73%
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for each of the following, determine the constant c so that f(x) satisfies the conditions of being a pmf for a random variable x, and then depict each pmf as a line graph: (a) f(x) = x/c(b) f(x) = cx(c) f(x) = c(1/4)^x(d) f(x) = c(x + 1)^2(e) f(x) = x/c(f) f(x) = c/(x+1)(x+2)Hint: In part (f), write f(x) = 1/(x+1) - 1/(x+2)
Answers
A probability mass function (pmf) for a random variable X must satisfy the following two conditions:
1. f(x) ≥ 0 for all x
2. Σf(x) = 1
(a) f(x) = x/c
To find the constant c, we can use the second condition and sum over all possible values of x:
Σf(x) = Σ(x/c) = 1/c Σx = 1
Since we don't have a specified range for x, we cannot solve for c.
(b) f(x) = cx
Again, we can use the second condition to find the constant c:
Σf(x) = Σ(cx) = cΣx = 1
Without a specified range for x, we cannot solve for c.
(c) f(x) = c(1/4)^x
Using the second condition:
Σf(x) = Σ(c(1/4)^x) = cΣ(1/4)^x = 1
We can use the formula for an infinite geometric series to find the sum:
Σ(1/4)^x = 1/(1 - 1/4) = 4/3
So, c = 3/4
(d) f(x) = c(x + 1)^2
Using the second condition:
Σf(x) = Σ(c(x + 1)^2) = cΣ(x + 1)^2 = 1
Without a specified range for x, we cannot solve for c.
(e) f(x) = x/c
This is the same as part (a), so we cannot solve for c without a specified range for x.
(f) f(x) = c/(x+1)(x+2)
Using the hint, we can rewrite f(x) as:
f(x) = c(1/(x+1) - 1/(x+2))
Using the second condition:
Σf(x) = Σ(c(1/(x+1) - 1/(x+2))) = cΣ(1/(x+1) - 1/(x+2)) = 1
We can use the formula for a telescoping series to find the sum:
Σ(1/(x+1) - 1/(x+2)) = 1 - 1/(x+2)
As x approaches infinity, the sum approaches 1.
So, c = 1
To depict each pmf as a line graph, we would plot the values of f(x) on the y-axis and the values of x on the x-axis. However, without a specified range for x, we cannot create accurate graphs for parts (a), (b), (d), and (e). For part (c), the graph would be a decreasing exponential curve, with f(x) approaching 0 as x increases. For part (f), the graph would be a decreasing curve, with f(x) approaching 0 as x increases.
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graph the equation y=x²+8x+12 you must plot five points including the roots and the vertex
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at the roots, y=0
\(\begin{gathered} \Rightarrow x^2+8x+12=0 \\ \Rightarrow(x+4)^2-(4)^2+12=0 \\ \Rightarrow(x+4)^2=4 \\ \Rightarrow x+4=\pm2 \\ \Rightarrow x=-4\pm2 \\ \Rightarrow x=-4+2\text{ or -4-2} \\ \Rightarrow x=-2\text{ or -6} \\ \end{gathered}\)So two of the five points are:
(-2,0) and (-6,0)
At the vertex, dy/dx = 0
\(\begin{gathered} \frac{dy}{dx}=2x+8 \\ \text{When }\frac{dy}{dx}=0 \\ 2x+8=0 \\ \Rightarrow x=-4 \\ y=-4 \\ (-4,-4)\text{ is the vertex} \end{gathered}\)When x=-1, y=5
(-1, 5)
When x=-3, y=-3
(-3,-3)
So the five points are
when x= -3, y=-3
hi! ❤️ I’m looking for help here thanks.
giving brainliest if able to.
Answers
solve for x using
128 = (180-11x-4) + (180-8x)
128=356-19x
19x =356-128
x=228/19
x=12 sub back into
Rewrite in simplest radical form sqrt x * sqrt[4] x each step of your process
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I assume the given expression is
\(\sqrt x \sqrt[4]{x}\)
We can write each root as a rational power of x, then add the exponents:
\(\sqrt x \sqrt[4]{x} = x^{\frac12} x^{\frac14} = x^{\frac12 + \frac14} = x^{\frac34}\)
Then putting it back into radical form, we have
\(\sqrt x \sqrt[4]{x} = \sqrt[4]{x^3}\)
STUCK AGAIN PLEASE HELP !
-18,762=-3z-540
Answers
Answer:
z = 6074
Step-by-step explanation:
-18762 = -3z - 540
-3z = -18762 + 540
-3z = -18,222
z = 6074
Answer:
Your answer is: ↓
Step-by-step explanation:
Hope this helped : )
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
EMERGENCY PLEASE HELP
A company deposits $5,000 in a bank account that earns 3%
compound interest each year. Which function represents the value,
V(t), in dollars, of the bank account after t years?
Answers
Answer:
5150
Step-by-step explanation:
Answer: v(t) = 5,000(1.03)t
Step-by-step explanation:
What is 3t = -8.16
Thank you if anyone helps, I’m really bad with one step equations ;-;
Answers
Answer:
t=−2.72
Step-by-step explanation:
Your invest $88,000 a CD that is locked into a 1.75% interest rate compounded monthly for seven years how much will Urich have an account with the CD matures
Answers
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$88000\\ r=rate\to 1.75\%\to \frac{1.75}{100}\dotfill &0.0175\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &7 \end{cases}\)
\(A=88000\left(1+\frac{0.0175}{12}\right)^{12\cdot 7}\implies A=88000\left( \frac{4807}{4800}\right)^{84}\implies A\approx 99459.21\)
What is the probability of both coins landing on tails?
Answers
Answer:
1/4
Step-by-step explanation:
The probability of both coins landing on tail =1/4
Answer:
2:4 is the answer I think
Need ASAP only answer if ur confident in ur answer
Answers
Answer:
5152 cm²Step-by-step explanation:
surface area of the given image
= 1/2 (24) 35 (2 sides) = 840 cm²
= 44 x 37 (2 sides) = 3256 cm²
= 24 x 44 (bot base) = 1053 cm²
total = 5152 cm²
Use a geometric tool to draw a circle. Draw and measure a radius and a diameter of the circle .
Answers
Answer:
Attached is an example of a circle with a radius of 5 and a diameter of 10.
If this answer helped you, please leave a thanks or a Brainliest!!!
Have a GREAT day!!!
2(a + 5) – 4 = 2.a +2.5 –4 +
distributive property
distributive property
commutative property
associative property
Answers
Answer:
distributive property
Step-by-step explanation:
2(a+5)
2 is being distributed
Write (6*100) + (4*10) in standard form
Answers
can someone please help with this
Answers
Answer: Here you go
..........................................
Use the table to answer the question that follows.
ROR Portfolio 1 Portfolio 2 Portfolio 3
12.6% $1,250 $950 $900
2.8% $575 $2,025 $2,350
10.4% $895 $1,185 $310
1.8% $800 $445 $1,600
−5.6% $1,775 $625 $2,780
Calculate the weighted mean of the RORs for each portfolio. Based on the results, which list shows a comparison of the overall performance of the portfolios, from best to worst?
Portfolio 1, Portfolio 2, Portfolio 3
Portfolio 3, Portfolio 2, Portfolio 1
Portfolio 2, Portfolio 3, Portfolio 1
Portfolio 2, Portfolio 1, Portfolio 3
Answers
Based on the results, the below list shows a comparison of the overall performance of the portfolios, from best to worst:
Portfolio 2, Portfolio 1, Portfolio 3
Portfolio 1:
total investment=$1250+$575+$895+$800+$1775
total investment = $5295
weighted average ROR= (12.6%*$1250/$5295 + 2.8%*$575/$5295 + 10.4%*$895/$5295 +1.8%*$800/$5295 - 5.6%*$1775/$5295)
weighted average ROR = 3.23%
Portfolio 2:
total investment = $950 + $2025 + $1185 + $445 + $625
total investment = $5230
weighted average ROR= ( 12.6%*$950/ $5230 + 2.8% *$2025/ $5230 + 10.4%*$1185/ $5230 + 1.8%* $445/ $5230 - 5.6%*$625/ $5230)
weighted average ROR = 5%
Portfolio 3:
total investment = $900 + $2350 + $310 + $1600 + $2780
total investment = $7940
weighted average ROR = ( 12.6%*$900/$7940 + 2.8% *$2,350/$7940 + 10.4%*$310/ $7940 + 1.8%* $1600 / $7940 −5.6% *$2780/$7940)
weighted average ROR = 1%
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Tyler is packing his bags for vacation. He plans to pack two outfits for each day of vacation.
Let d = the number of days of his vacation.
Write an expression for the total number of outfits WILL BRIANLIST
Answers
=========================================
Work Shown:
d = number of days of his vacation
1 day = 1*2 = 2 outfits
2 days = 2*2 = 4 outfits
3 days = 3*2 = 6 outfits
4 days = 4*2 = 8 outfits
5 days = 5*2 = 10 outfits
and so on.
In general we can say,
d days = d*2 = 2d outfits
d is simply a placeholder or a box where we'll place a number inside. For example, if he's on vacation for d = 7 days, then he'll bring 2*d = 2*7 = 14 outfits.
The expression 2*d is the same as 2d. We can leave out the multiplication sign since having a number next to a variable like this implies multiplication.
The expression for the total number of outfits is 2d
The total number of outfits Tyler plans to pack for his vacation can be expressed as 2 multiplied by the number of days of his vacation, which we'll denote as 'd'. Since Tyler plans to pack two outfits for each day, multiplying 'd' by 2 will give us the total number of outfits.
In this expression, 'd' represents the number of days of Tyler's vacation, and multiplying it by 2 accounts for the two outfits planned for each day. This expression allows us to calculate the total number of outfits based on the length of Tyler's vacation.
For example, if Tyler's vacation is 7 days long, the expression 2d would yield:
2 * 7 = 14
Therefore, Tyler would plan to pack 14 outfits for his 7-day vacation. The expression 2d allows flexibility to calculate the total number of outfits based on the specific number of vacation days.
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For problems 1 - 2, determine the area of each figure.
Answers
The area of the circle is approximately 78.5 square meters.
To determine the area of a figure, we need to know what type of figure it is and what its dimensions are. The formulas for finding the areas of different types of figures are as follows:
Rectangles: Area = length x widthSquares: Area = side x sideTriangles: Area = 1/2(base x height)
Circles: Area = πr² (where π is pi and r is the radius)Problem 1:Let's say we have a rectangle with a length of 6 cm and a width of 4 cm.
To find its area, we use the formula Area = length x width. Substituting in our values,
we get:Area = 6 cm x 4 cm = 24 cm²Therefore, the area of the rectangle is 24 square centimeters.Problem 2:Next, let's look at a circle with a radius of 5 meters.
To find its area, we use the formula Area = πr². Substituting in our values, we get:Area = π(5 m)² = π(25 m²) ≈ 78.5 m²
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Can someone help with this please?
Answers
Answer:
Y= -1/4x -1 3/4
or Y= -0.25x -1.75
Step-by-step explanation:
I got this by finding the distance between the points.
The distance is 8x and -2y
Divide that by 2 and you get 4 and -1 or -4/1
Then knowing that the slope is -0.25, you know that for each square the line goes down .25 That is how I found the y intercept.
In conclusion Y= -0.25x -1.75
Merge onto Highway 40 and drive 3/5
mile. Stop and pay the toll. Then
continue on Highway 40 for twice this.
distance. How much longer will you be
on Highway 40 after you pay the foll?
Answers
Distance traveled after toll payment is 1.2 miles on highway 40.
What is Distance ?The distance may be calculated using a curved route. Displacement measurements can only be made along straight lines. Distance is path-dependent, meaning it varies depending on the direction followed. Displacement simply depends on the body's beginning and ending positions; it is independent of the route.
Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.
The size or extent of the displacement between two points is referred to as distance. Keep in mind that the distance between two points and the distance traveled between them are not the same. The entire length of the journey taken between two points is known as the distance traveled. Travel distance is not a vector.
Distance traveled before toll payment =3/5 miles on highway 40
Distance traveled after toll payment =2*3/5 = 6/5 =
1.2 miles on highway 40.
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A local city park rents kayaks for $3.75 per hour. If a customer rents for four or more hours, the cost is only $3.25 per hour, plus a $5 processing fee. If C(x) represents the total cost and x represents the number of rental hours, which of the following functions best models this scenario?
C of x equals 3.75 times x if x is less than 6 and 3.25 plus 5x if x is greater than 6.
C of x equals 3.75 times x if x is less than or equal to 5 and 3.25x minus 5 if x is greater than 6.
C of x equals 3.75 times x if x is less than 6 and 3.25x plus 5 if x is greater than or equal to 6.
C of x equals 3.75 times x if x is less than 5 and 3.25x minus 5 if x is greater than or equal to 6.
Answers
The function that best models this scenario is C of x equals 3.75 times x if x is less than 5 and 3.25x plus 5 if x is greater than 6.
How to calculate the value?Let the number of hours be illustrated as x. In this situation, local city park rents kayaks for $3.75 per hour. This will be:
= 3.75 × x
= 3.75x
Also, customer rents for four or more hours, the cost is only $3.25 per hour, plus a $5 processing fee. This will be illustrated as:
= 5 + (3.25 × x)
= 5 + 3.25x
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How would you solve
"if f(x) / (x - 2) = x ^ 3 + 2x - 4 + 13/(x - 2) what is f(2)"
and
"if f(x) / (x + 3) = 3x ^ 2 - 4x + 2 what is f(-3)"
Answers
The denominator is zero (0/0 is undefined), we cannot determine the exact value of f(-3) using this equation.
To solve the given equations, we need to find the value of the function f(x) for specific values of x.
"If f(x) / (x - 2) = x³ + 2x - 4 + 13/(x - 2), what is f(2)?"
To find f(2), we can substitute x = 2 into the equation and solve for f(2).
Plugging in x = 2, we get:
f(2) / (2 - 2) = 2³ + 2(2) - 4 + 13/(2 - 2)
Since the denominator is zero (2 - 2 = 0), the equation is undefined. Therefore, there is no solution for f(2) in this case.
"If f(x) / (x + 3) = 3x² - 4x + 2, what is f(-3)?"
To find f(-3), we can substitute x = -3 into the equation and solve for f(-3).
Plugging in x = -3, we get:
f(-3) / (-3 + 3) = 3(-3)² - 4(-3) + 2
Simplifying, we have:
f(-3) / 0 = 3(9) + 12 + 2
f(-3) / 0 = 27 + 12 + 2
f(-3) / 0 = 41
Additional information or context is needed to solve for f(-3).
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