Answer:
<XCL = 228°
Step-by-step explanation:
Since CQ is the angle bisector of <XCL, the adjacent angles within it, <QCX and <LCQ have to be equal to each other. Set their values equal to each other and solve for x.
17x-5 = 13x+23
+5 +5
17x = 13x+28
-13x -13x
4x = 28
/4 /4
x = 7
Plug x into one of the equations, then multiply by 2 because the angles are equivalent to each other because they are the result of an angle bisector.
17(7)-5 = 119-5 = 114
114*2 = 228
<XCL = 228°
A. Their rates of change differ by 2. B. Their rates of change differ by 4. C. Function M has a greater rate of change than Function P. D. Function M and Function P have the same rate of change.
Answer:
(a) Their rates of change differ by 2
Step-by-step explanation:
Given
See attachment for functions M and P
Required
Determine what is true about the rates of M and P
First, we calculate the slope (i.e. rate) of both functions.
Slope is calculated as:
\(m = \frac{y_2 -y_1}{x_2 - x_1}\)
From the table of M, we have:
\((x_1,y_1) = (-2,-9)\)
\((x_2,y_2) = (2,11)\)
So, the slope is:
\(m_M = \frac{11 --9}{2--2}\)
\(m_M = \frac{20}{4}\)
\(m_M = 5\)
For function P, we have:
\(y = 7x + 9\)
A function is represented as:
\(y = mx + b\)
Where:
\(m = slope\)
So, by comparison:
\(m_P = 7\)
At this point, we have:
\(m_M = 5\) --- Slope of M
\(m_P = 7\) --- Slope of P
Only option (a) is true because both slopes differ by 2. i.e. 7 - 5 = 2
Other options are not true
You roll a 6-sided die. What is P(6)? Write your answer as a fraction or whole number.
Answer:
1/6
Step-by-step explanation:
There are six sides, so if u want to roll a six, that will be 1/6
the probability that a certain radioactive mass emits no particles in a one-minute time period is 0.1352. what is the mean number of particles emitted per minute?
The mean number of particles emitted per minute is approximately 2.0026.
To find the mean number of particles emitted per minute, we can use the Poisson distribution formula for the probability of no particles being emitted in a one-minute time period, which is given by:
\(P(X=0) = e^(-λ) × (λ^0) / 0! = 0.1352\)
where λ is the mean number of particles emitted per minute, e is the base of the natural logarithm (approximately 2.718), and X is the number of particles emitted.
Step 1: Rearrange the formula to solve for λ:
\(e^(-λ) = 0.1352\)
Step 2: Take the natural logarithm of both sides:
\(-ln(λ) = ln(0.1352)\)
Step 3: Solve for λ:
λ = -ln(0.1352)
Step 4: Calculate the value:
λ ≈ 2.0026
The mean number of particles emitted per minute is approximately 2.0026.
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If I took any two distinct prime numbers, and the number "1", would these numbers always be pairwise relatively prime? True O False
The statement is true. If we take any two distinct prime numbers, and the number "1", these numbers will always be pairwise relatively prime.
Two numbers are said to be pairwise relatively prime if their greatest common divisor (GCD) is equal to 1. In this case, since we are considering distinct prime numbers, their GCD will always be 1 since prime numbers have no common factors other than 1 and themselves. Therefore, any two distinct prime numbers will be relatively prime.
Similarly, when we consider the number "1", it is relatively prime to any other number because its only divisor is 1. Hence, when "1" is paired with any prime number, the GCD will be 1.
In summary, whether we consider two distinct prime numbers or pair them with the number "1", the resulting numbers will always be pairwise relatively prime.
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Find the GCF of the numbers using lists of factors.
27,45
30,48
28,48,64
Answer:
1.) 6
2.)6
3,)4
Step-by-step explanation:
I think these are the gcf of the numbers
please help e and my sister want to go somewhere but we cant because of this
Answer:
1 5/12 lb
Step-by-step explanation:
This is a subtraction problem.
He started with 4 2/3 lb and used 3 1/4 lb, so you need to subtract 3 1/4 lb from 4 2/3 lb.
Notice that the fractions do not have the same denominator, so we need a common denominator and equivalent fractions.
We start with the
subtraction below
4 2/3
- 3 1/4
---------------
The least common denominator of 3 and 4 is 12. 12/3 = 4, and 12/4 = 3, so we get equivalent fractions with the common denominator 12.
We use the LCD to get
the subtraction below
4 8/12
- 3 3/12
----------------
Now we subtract the whole numbers and the fractions.
4 8/12
- 3 3/12
----------------
1 5/12
Answer: 1 5/12 lb
Find the width of a cereal box that has a volume of 13,440 cm3 and is 40 cm long and 42 cm high.
The width[Dimension] of the cereal box is approximately 8 cm.
To find the width of the cereal box, we can use the formula for the volume of a rectangular box:
Volume = Length × Width × Height
Given that the volume of the cereal box is 13,440 cm³, the length is 40 cm, and the height is 42 cm,
we can rearrange the formula to solve for the width:
Width = Volume / (Length × Height)
Width = 13,440 cm³ / (40 cm × 42 cm)
= 8 cm
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If f(x)= 3x-8, and f(x)=-17, find x.
Answer:
f(x)= 3x-8,
f(x)=-17
so
-17 = 3x -8
3x= -17+8
3x = -9
x =-3
Step-by-step explanation:
The y-intercept of a line has the same value as its gradient. If this line cuts the curve y = \(x^{3}\) – 2\(x^{2}\) – 3x – 8 at x = 3, find the equation of the line.
Select one:
a. 2x − y + 2 = 0
b. 2x + y + 2 = 0
c. 2x + y − 2 = 0
d. None of these
Answer:
B. 2x+y+2+=0
Step-by-step explanation:
Given: x=3
First: you substitute for x in y=x^3-2x^2-3x-8
y=(3)^3-2(3)^2-3(3)-8
y=-8
Now all you have to do is plug y in each of the answers until you get 3 for x.
A. 2x-(-8)+2=0
2x+10=0
2x=-10
x=-5
B. 2x+(-8)+2=0
2x-6=0
2x=6
x=3
C. 2x+(-8)-2=0
2x-10=0
2x=10
x=5
At Weichert Realty, each agent earns 7% commission on their sales. If they sell a house for $300,000, they would earn $21,000. How much would
they have to sell in order to earn $35,000?
$50,000
B) $25,000
$2,450
$500,000
Sell $500,000 worth of real estate in order to earn a commission of $35,000 at a rate of 7%. So the correct answer is D) $500,000.
Use the given information to set up a proportion and solve for the unknown sales amount:
Commission earned / Sales amount = Commission rate
$21,000 / $300,000 = 0.07
Now we can use this proportion to find the sales amount needed to earn $35,000:
$35,000 / 0.07 = $500,000
Therefore, they would need to sell $500,000 worth of real estate in order to earn a commission of $35,000 at a rate of 7%. So the correct answer is D) $500,000.
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convert million gallons per day to cubic feet per second
The flow rate of 5 MGD is equivalent to 7.73615 cfs
To convert million gallons per day (MGD) to cubic feet per second (cfs), we need to use the conversion factor between the two units. The conversion factor is 1 MGD = 1.54723 cfs.
Therefore, to convert MGD to cfs, we can multiply the given value of MGD by the conversion factor. For example, if we have a flow rate of 5 MGD, we can convert it to cfs as follows:
5 MGD x 1.54723 cfs/MGD = 7.73615 cfs
So, the flow rate of 5 MGD is equivalent to 7.73615 cfs. Similarly, we can convert any given flow rate in MGD to cfs by using the same conversion factor.
It is important to note that these units are commonly used in the context of water supply and distribution systems, where flow rates are a crucial factor in the design and operation of such systems. Therefore, knowing how to convert between different flow rate units is essential for engineers and technicians working in this field.
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Mr Dyson bought 5 gallons of paint. He used 3/4 of the 5 gallons to paint his house.
How much paint did Mr. Dyson use?
A 3 3/4 gallons
B 4 1/4 gallons
C 4 3/4 gallons
D 3 1/4 gallons
Answer:
I think 3 3/4 (A)
Step-by-step explanation:
Each gallon is 20 percent, while 3/4 is 75 percent. Divide 20 by 4, which is the denominator. The answer is 5. Every time you get a 5, that's a 1/4. For example:
25: 1 1/4
30: 1 2/4 (1/2)
35: 1 3/4
40: 2
Now, 75 is between 3 and 4 gallons, but it is lower than 4, so B and C are wrong. Let's do the math again.
65: 3 1/4
70: 3 2/4 (1/2)
75: 3 3/4
Remember, 3/4 is about 75%. which means, A is the answer!
4.7x 10^-1 as an ordinary number
0•47 as an ordinary number
Gloria set aside $100 to buy school lunches for the year. Each school lunch cost $2. The inequality 100 – 2x < 20 can be used to find the number of school lunches Gloria can buy before she has less than $20 left. What is the solution to this inequality?
Answer:
she would be able to buy 40 lunches
Step-by-step explanation:
Subtract 100 from both sides of the inequality
Divide each term by −2 and simplify.
The solution to the inequality 100 – 2x < 20 is x > 40
How to find solution to an inequality?
She set aside $100 to buy school lunches for the year. Each school lunch cost $2.
Therefore, the inequality can be used to find the number of school lunches Gloria can buy before she has less than $20 left.
100 – 2x < 20
The solution of the inequality is as follows;
100 – 2x < 20
subtract 100 from both sides
100 - 100 - 2x < 20 - 100
-2x < - 80
divide both sides by -2
x > 40
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Pl help it’s for homework
Answer:
its the 3rd one can u pls give me brainliest so i can lvl up
Step-by-step explanation:
let x be a random variable with the probability distribution below. find e(x) and ex2 and then, using these values, evaluate e(2x 1)2.
E(X) = 1.88. E(X^2) = 11.12. E((3X + 2)^2) = 126.64. To find E(X) and E(X^2), we will use the provided probability distribution for the random variable X.
E(X) is the expected value of X and can be calculated by multiplying each value of X by its corresponding probability and summing them up. Let's perform this calculation:
E(X) = (-2 * 0.18) + (4 * 0.38) + (6 * 0.12)
= -0.36 + 1.52 + 0.72
= 1.88
Therefore, E(X) = 1.88.
E(X^2) is the expected value of X^2 and can be calculated by multiplying each value of X squared by its corresponding probability and summing them up. Let's perform this calculation:
E(X^2) = ((-2)^2 * 0.18) + (4^2 * 0.38) + (6^2 * 0.12)
= (4 * 0.18) + (16 * 0.38) + (36 * 0.12)
= 0.72 + 6.08 + 4.32
= 11.12
Therefore, E(X^2) = 11.12.
Now, let's evaluate E((3X + 2)^2) using the values of E(X) and E(X^2) obtained in the previous step.
E((3X + 2)^2) = E(9X^2 + 12X + 4)
= 9E(X^2) + 12E(X) + 4
Substituting the values of E(X^2) = 11.12 and E(X) = 1.88:
E((3X + 2)^2) = 9 * 11.12 + 12 * 1.88 + 4
= 100.08 + 22.56 + 4
= 126.64
Therefore, E((3X + 2)^2) = 126.64.
Please note that the final answer is subject to the accuracy of the provided probability distribution and the calculations performed.
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Incomplete Question:
Let X be a random variable with the probability distribution below. Find
E(X)
and
EX2
and then, using these values, evaluate
E(3X+2)2.
x
−2
4
6
f(x)
18
38
12
Find E(X).
E(X)=
(Simplify your answer.)
Find EX2.
EX2=
(Simplify your answer.)
Evaluate
E(3X+2)2.
E(3X+2)2=
(Simplify your answer.)
please make sure answer is correct and answer quickly.
You move up eight units and left eight units. You end at -5, 3. Where did you start?
Answer:
(-5+8,3-8) = (3,-5)
Step-by-step explanation:
Use additive inverses and their properties to find the equivalent expressions.
3+(-3)
3-5
3+(-3)
-3+3
-3+5
5-3
The values of the equivalent expressions are 0, -2, 0, 0, 2 and 2 respectively.
What is the equivalent expressionTo find equivalent expressions, we can use the property of additive inverses, which states that the sum of a number and its additive inverse is always equal to zero. That is:
a + (-a) = 0
We can use this property to rewrite the expressions as follows:
a. 3 + (-3) = 0
b. 3 - 5 = 3 + (-5) = -2
c. 3 + (-3) = 0
d. -3 + 3 = 0
e. -3 + 5 = 2
f. 5 - 3 = 5 + (-3) = 2
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The diameter of a plate is 10 inches. What is the radius of the plate? Also can you explain how you got the answer? Thank you! And quickly please
Answer:
5
Step-by-step explanation:
the diameter is 2 times the radius. So, 10=2r
r=5
Find the area of a 30-60-90 triangle with a hypotenuse that measures 17 cm.
First, let's start by constructing the triangle (not scalable), like this:
Where b and h are the base and the height of the figure.
In order to determine the value of b and h we can use the following trigonometric function, the sine:
\(\sin (\theta)=\frac{a}{17}\)Where 17 is the length of the hypotenuse and a is the length of the side opposite to θ. From this formula, we can solve for a by multiplying by 17 on both sides to get:
\(a=17\sin (\theta)\)As you can see, in the figure, the side opposite to the 60° angle is b, then by replacing 60 for θ and b for we get:
\(b=17\sin (60)\)Then the value of b is calculated to get:
\(b\approx14.72\)Similarly, we can get the value of h by replacing 30° for θ and h for a, like this:
\(h=17\sin (30)=8.5\)Now we can use the following formula to calculate the area of the triangle:
\(A=\frac{b\times h}{2}\)By replacing 8.5 for h and 14.72 for b we get:
\(A=\frac{14.72\times8.5}{2}=62.57\)Then, the area of this triangle equals 62.57 square centimeters
A mustard seed has a mass of about 0.002 gram. A glass jar contains about 4.3602 x 10^4 A B C or D
Answer:
(2 x 10 ^-3) x (4 x 10 ^4)=8 x 10 ^1
Step-by-step explanation:
The mass of a single seed can be written as 0.002 = \(2*10^{-3}\)
There are total of 4.3602 * 10 ⁴seeds in the jar
Total mass is the multiplication of these both numbers.
Since we want an estimate, we can use 4 instead of 4.3602 in the 2nd number.
The rule to multiply two numbers in scientific notation is:
\((a*10^{b} )*(c*10^{d} )=(a*c)*10^{b+d}\)
So using this formula we multiply the 2 numbers and get answer as follows:
\((a*10^{b} )*(c*10^{d} )=(a*c)*10^{b+d} \\(2*10^{-3} )*(4*10^{4} )=(2*4)*10^{-3+4} \\=8*10^{1}\)
2+5+8+...+275=?
help me
Answer:
= 290
Step-by-step explanation:
275 + 8 = 283
283 + 5 = 288
288 + 2 = 290
(If this isn't what you meant just tell me and ill edit my comment)
7. Evaluate 29•1+2(20➗4-5)
A. 0
B. 30
C. 29
D. 28
Answer:
C. 29
Step-by-step explanation:
Pemdas
parenthesis, exponents, multiplication, division, addition and subtraction
29+2(5-5)
29+2(0)
29
Based on the graphs of the equations y = x + 7 and y = x2 – 3x + 7, the solutions are located at points:
The correct option is A. (4, 11) and (0, 7).
The solution of the equations y = x + 7 and y = x² – 3x + 7, the solutions are located at points: (4, 11) and (0, 7).
What is the system of linear equation?Estimate the y-intercept, slope, and express the equation in the form of the y-intercept (y = mx + b) to find the graphed equation. The slope is the difference between the y- and x-axis values.
A graph equation is an equation in graph theory where the unknown is a graph. Isomorphic ideas are one of the key issues in graph theory.
The equations are; y = x + 7 and y = x² - 3x + 7
At the solution, the u-values are equal, which gives;
y = y
x + 7 = x² - 3·x + 7
x² - 3·x + 7 - (x + 7) = 0
x² - 4·x = 0
x·(x - 4) = 0
x = 4, or x = 0
When x = 4, y = 4 + 7 = 11
When x = 0,
y = 0 + 7 = 7
Therefore, the solution for the equations y = x + 7 and y = x² - 3x + 7 are are located at points: (4, 11) and (0, 7).
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The complete question is-
Based on the graphs of the equations y = x + 7 and y = x² – 3x + 7, the solutions are located at points:
A. (4, 11) and (0, 7)
B. (4, 11) and (–7, 0)
C. (–7, 0) and (1.5, 4.75)
D. (1.5, 4.75) and (0, 7)
What are the three principles of describing data?
dispersion, range and standard deviation mean, median and mode
Mean, median and mode are the three principles of describing data.
Describing data:- Describing data is also called descriptive statistics, that describes the data through several methods such as graphical representations, central tendency, variability. It summarizes the data efficiently, which helps to make any conclusion on that dataset.
The three principles of describing data are-
Mean:- The summation of all the values divided by the total number of values, is called mean. It is also called as average.Median:- The middle value is called median.Mode:- The value, which occurs most often in a set of all values, is called mode.Thus we can conclude that, mean, median and mode are the three principles of describing data.
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Apply the distributive property to create an equivalent expression. 9(a + 4b + 3c)
\( \rm9(a + 4b + 3c) \\ 9(a) + 9(4b) \rm+ 9(3c) \\ \rm 9a + 36b + 27c \\ \therefore \tt9(a + 4b + 3c) = 9a + 36b + 27c\)
In Greg's hat, he has $1$ yellow, $2$ red, and $3$ green tokens. One red token is equivalent to $7$ yellow tokens. One yellow token is equivalent to $3$ green tokens. Greg converts all of his tokens to green tokens. How many green tokens does he have?
Answer:
20 greens
Step-by-step explanation:
2 (7) = 14
1 (3) = 3
14 + 3 + 3 = 20 greens
Answer: it is 48 not 20
Step-by-step explanation:
identify the equation whose vertical graph is a vertical line.
a) y=2x-1
b) y=2
c) x=2
Answer:
c
Step-by-step explanation:
The sampling error is usually _______ with_______ samples and ________ as the sample size ________.
The sampling error is usually smaller with larger samples and decreases as the sample size increases.
When we talk about sampling error, we refer to the discrepancy or difference between the sample statistic (e.g., mean, proportion) and the population parameter it is intended to estimate. The sampling error arises due to the inherent variability in the data and the fact that we are working with a sample rather than the entire population.
By increasing the sample size, we are capturing a more extensive representation of the population, reducing the impact of random variation. As a result, the estimate tends to be more accurate and closer to the true population parameter.
Therefore, larger samples tend to have smaller sampling errors.
It's important to note that although increasing the sample size generally reduces sampling error, there may be other factors to consider, such as the sampling design, representativeness of the sample, and the quality of data collection, which can also influence the accuracy of the estimate.
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HELPPPPPPPPPPPPPPPPP!!!!!!!!!!!!
Answer:
B, or the second one down
i can only really assume because it looks like a 90 degree angle, but it doesnt actually say it is. Assuming its 90 degrees you can do a^2 + b^2 = c^2