Answer:
it's b and a
Step-by-step explanation:
Answer:
1. C) 15 inches
2. A) 22.5 inches
Step-by-step explanation:
Find the value of x
8,
9,
7,
10
The value of x in this problem, considering the intersecting chords, is given as follows:
x = 10.
How to obtain the value of x?A chord of a circle is a straight line segment that connects two points on the circle, that is, it is a line segment whose endpoints are on the circumference of a circle.
When two chords intersect each other, then the products of the measures of the segments of the chords are equal.
Hence the value of x is obtained as follows:
12x = 15 x 8
12x = 120
x = 10.
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A Historic monument designed atriangular shape that everyone istrying to visit. The front of it is anequilateral triangle with a perimeterof 18 yards. Someone who is buyingthe monument wants to put asculpture inside of it but first, theymust know the height (altitude) ofthat monument.What is the length of the triangle'saltitude to the nearest tenth of ayard?
If the triangle is equilateral then the length of its sides must be the same. So, each side's length is 6 yards.
Similarly it would have three angles of the same measure, then each angle must be: 180°/3 = 60° as the sum of the three angles of a triangle must be equal to 180°.If the angles are equal each angle would measure one third of 180°.
The formula in this case would be:
\(h=\frac{\sqrt[]{3}}{2}a\text{ (a represents the length of one side)}\)Replacing the value of a, we have:
\(\begin{gathered} h=\frac{\sqrt[]{3}}{2}\cdot(6)\text{ yards} \\ h=5.196 \\ \text{The answer is 5.2 rounding to the tenth of a yard. } \end{gathered}\)Wayne Gretsky scored a Poisson mean six number of points per game. sixty percent of these were goals and forty percent were assists (each is worth one point). Suppose he is paid a bonus of 3K for a goal and 1K for an assist. (a) Find the mean and standard deviation for the total revenue he earns per game. (b) What is the probability that he has four goals and two assists in one game
Answer:
a) The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.
b) 0.05 = 5% probability that he has four goals and two assists in one game
Step-by-step explanation:
In hockey, a point is counted for each goal or assist of the player.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)
In which
x is the number of sucesses
e = 2.71828 is the Euler number
\(\mu\) is the mean in the given interval. The standard deviation is the square root of the mean.
(a) Find the mean and standard deviation for the total revenue he earns per game.
60% of six are goals, which means that 60% of the time he earned 3K.
40% of six are goals, which means that 40% of the time he earned 1K.
The mean is:
\(\mu = 6*0.6*3 + 6*0.4*1 = 13.2\)
The standard deviation is:
\(\sigma = \sqrt{\mu} = \sqrt{13.2} = 3.63\)
The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.
(b) What is the probability that he has four goals and two assists in one game
Goals and assists are independent of each other, which means that we find the probability P(A) of scoring four goals, the probability P(B) of getting two assists, and multiply them.
Probability of four goals:
60% of 6 are goals, which means that:
\(\mu = 6*0.6 = 3.6\)
The probability of scoring four goals is:
\(P(A) = P(X = 4) = \frac{e^{-3.6}*(3.6)^{4}}{(4)!} = 0.19122\)
Probability of two assists:
40% of 2 are assists, which means that:
\(\mu = 6*0.4 = 2.4\)
The probability of getting two assists is:
\(P(B) = P(X = 2) = \frac{e^{-2.4}*(2.4)^{2}}{(2)!} = 0.26127\)
Probability of four goals and two assists:
\(P(A \cap B) = P(A)*P(B) = 0.19122*0.26127 = 0.05\)
0.05 = 5% probability that he has four goals and two assists in one game
5. A map is drawn to a scale of 1: 20 000. (a) The perimeter of a lake is 2.5 km. Find, in cm, the perimeter of the lake on the map. (b) The area of the lake on the map is 12.5 cm². Find, in km², the actual area of the lake.
Step-by-step explanation:
2.5 km = 250000 cm
250000 cm /20000 = 12.5 cm on the map
12.5 cm ^2 x 20 0000 x 20 000 = 5 000 000 000 cm^2 = 500 000 m^2
Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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Using the central limit theorem, what is the (shape of) distribution of sample means when the population distribution is:
rectangular
uniform
normal
positively skewed
nonmodal
multimodal
negatively skewed
(Privitera, 2019, p. 186, #19)
The central limit theorem states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.
what is normal distribution?
A normal distribution is a bell-shaped probability distribution that is symmetrical and characterized by its mean (μ) and standard deviation (σ). It is also known as a Gaussian distribution, after the mathematician Carl Friedrich Gauss.
However, for smaller sample sizes, the distribution of sample means may still resemble the shape of the population distribution.
Here are some more specific descriptions of the distribution of sample means for different population distributions:
1. Rectangular distribution: The distribution of sample means will approach a normal distribution as the sample size increases, with the mean and median at the center of the distribution.
2. Uniform distribution: The distribution of sample means will also approach a normal distribution as the sample size increases, with the mean at the center of the distribution.
3. Normal distribution: The distribution of sample means will be a normal distribution regardless of sample size, with the mean and median at the center of the distribution.
4. Positively skewed distribution: The distribution of sample means will approach a normal distribution as the sample size increases, but the mean will be higher than the median.
5. Nonmodal distribution: The distribution of sample means will approach a normal distribution as the sample size increases, but the exact shape will depend on the specifics of the nonmodal distribution.
6. Multimodal distribution: The distribution of sample means will also approach a normal distribution as the sample size increases, but the exact shape will depend on the specifics of the multimodal distribution.
7. Negatively skewed distribution: The distribution of sample means will approach a normal distribution as the sample size increases, but the mean will be lower than the median.
Therefore, central limit theorem states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.
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Write the number 605,000 in words! :]
Answer:
Six Hundred and five thousand
Answer: six hundred and five thousand
I hope this help I would appreciate brainliest if possible :)
What is the distance from the midpoint of the line segment with
endpoints (0, 2) and (0, 6) to the midpoint of the line segment with
endpoints (2, 2) and (2, 6)?
Answer: d(A,B)=2
Step-by-step explanation: After finding the midpoints of both line segments we have to find the distance. to find the distance we use the formula d(A,B)=\(d(A,B)=\sqrt{(xb-xa){2}+(yb-ya){2} }\), We can then substitute in both midpoints in to look like \(d(A,B)=\sqrt{(2-0)^{2} +(4-4)^{2} }\), simplify which then d(A,B)=2.
Find the area and perimeter of ABC. A(-2,-4)B(1,5)C(2,2)
The area of triangle ABC is 23.5 square units and the perimeter is 20.4174 units.
To find the area and perimeter of the given triangle ABC, we need to apply the following formulas:Formula for Distance between two points:
The distance between two points (x1, y1) and (x2, y2) is given by:
AB = √(x2-x1)²+(y2-y1)²BC = √(x3-x2)²+(y3-y2)²AC = √(x3-x1)²+(y3-y1)²
Formula for Area of Triangle: If we know the length of the three sides of a triangle then,
using Heron's formula, we can calculate the area of the triangle as:
area = √s(s-a)(s-b)(s-c)where a, b, and c are the lengths of the sides of the triangle and s is the semi-perimeter of the triangle, which is given as s = (a+b+c)/2
Formula for Perimeter of Triangle: The perimeter of the triangle is the sum of the lengths of its sides.
That is: perimeter = AB + BC + ACArea of ΔABCAB
= √(1 - (-2))² + (5 - (-4))²AB
= √3²+9² = √90BC
= √(2 - 1)² + (2 - 5)²BC
= √1²+3² = √10AC
= √(2 - (-2))² + (2 - (-4))²AC
= √4²+6²
= √52Semi-Perimeter (s)
= (AB + BC + AC)/2
= (√90 + √10 + √52)/2
= 12.8572Area of ΔABC
= √s(s-a)(s-b)(s-c)
= √12.8572(12.8572-√90)(12.8572-√10)(12.8572-√52)
= 23.5
Perimeter of ΔABC = AB + BC + AC = √90 + √10 + √52 = 20.4174
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Interpret, in a written description, what the graph is saying about the relationship between the variables. A graph has time (hours) on the x-axis, and distance (miles) on the y-axis. A line increases to 2 hours, is constant through 3 hours, and then increases through 6 hours. a. You leave home and drive for 6 hours with no stops. b. You leave home, drive for 1 hours at a constant speed, stop for 30 minutes, continue at the same speed, stop for 1 hour and then continue at the same speed as before. c. You leave home, drive for 2 hours at a constant speed, and then stop for 1 hour. Finally you continue at a slower (but constant) speed than before. d. You leave home, drive for 3 hours at a constant speed, and then stop for 2 hours. Finally you continue at the same speed as before. Please select the best answer from the choices provided
An interpretation of the relationship between the variables in this graph is that: C. you leave home, drive for 2 hours at a constant speed, and then stop for 1 hour. Finally, you continue at a slower (but constant) speed than before.
What is a graph?A graph can be defined as a type of chart which is used to graphically represent the relationship between the variables in a data set, on both the horizontal and vertical lines of a cartesian coordinate i.e x-axis and y-axis.
By critically observing the graph attached in the image below, we can infer and logically deduce that an interpretation of the relationship between the variables in this graph is that you drove at a constant speed for 2 hours, and then stopped for 1 hour. Finally, you continued at a slower, but constant speed than before.
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Triangle UVW is drawn with vertices at U(−1, 1), V(0, −4), W(−4, −1). Determine the coordinates of the vertices for the image, triangle U′V′W′, if the preimage is rotated 90° clockwise.
U′(1, −1), V′(0, 4), W′(4, 1)
U′(−1, −1), V′(−4, 0), W′(1, 4)
U′(1, 1), V′(−4, 0), W′(−1, 4)
U′(−1, 1), V′(0, −4), W′(−4, −1)
The coordinates of the vertices for the image of the triangle U′V′W′ is
U′(1, 1), V′(−4, 0), W′(−1, 4)
How to find the coordinates after transformationTo rotate a point 90 ° clockwise about the origin, we can apply the transformation (x, y) → (y, -x)
So applying this transformation to each vertex of triangle UVW we get
U(−1, 1) → U' = (1, 1)
V(0, −4) → V' = ( -4, 0)
W(−4, −1) → W' = (-1, 4)
Therefore the coordinates of the vertices for the image triangle U'V'W' are U′(1, 1), V′(−4, 0), W′(−1, 4)
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salesperson earns $345 for selling $2300 in merchendice find the commison rate
Answer:
The commission rate is 15%
Step-by-step explanation:
commission = commission rate x sales
where the commission rate is expressed as a decimal.
In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:
345 = commission rate x 2300
To solve for the commission rate, we can divide both sides by 2300:
commission rate = 345/2300
Simplifying this expression, we get:
commission rate = 0.15
So, the commission rate is 15%
Enter the unknown value that makes this statement true:
20% of _ is 40.
Answer:
50
Step-by-step explanation:
0.8 * x = 40
40/0.8=50
In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product.
Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as:
C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature.
If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer?
Our input is 77.
C = (5/9)*(77 - 32)
C = (5/9)*(45)
C = 25
The equivalent temperature is 25 degrees Celsius.
To complete the Discussion activity, please do the following:
Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above).
Arm length is a function of height.
The circumference of a circle is a function of diameter.
The height of a tree is a function of its age.
The length of person's shadow on the ground is a function of his or her height.
Weekly salary is a function of the hourly pay rate and the number of hours worked.
Compound interest is a function of initial investment, interest rate, and time.
Supply and demand: As price goes up, demand goes down.
The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.
Weekly salary = Hourly pay rate * Number of hours worked
Weekly salary = $12/hour * 20 hours
Weekly salary = $240
So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
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A turtle travels 5/12 mile in 1/3 hour. what's the turtles speed in miles per hour
Answer:
1.25 mile/hour
Step-by-step explanation:
(5/12)/(1/3)
=5/12 x 3
=5/4
=1.25
Answer:
1 1/4 miles per hour
Step-by-step explanation:
I got it correct on iReady
Suppose the mean GMAT score is 550 with a standard deviation of 100. Hayden takes the GMAT and is told his z-score is 2.5. Interpret the meaning of a z-score in this context. And what's Hayden's Score?
z-scores are used to describe normal distributions
The interpretation of a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550
How to interpret the z-scoresThe z-score is given as:
z = 2.5
The mean and the standard deviation are:
Mean = 550
Standard deviation = 100
A z-score is the number of standard deviations above or below the mean.
Hence, a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550
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Find the doubling time of an investment earning 8% interest if interest is compounded continuously. The doubling time of an investment earning 8% interest if interest is compounded continuously is ____ years.
Answer:
Step-by-step explanation:
Using FV = PV(1 + r)^n where FV = future value, PV = present value, r = interest rate per period, and n = # of periods
1/PV (FV) = (PV(1 + r^n)1/PV divide by PV
ln(FV/PV) = ln(1 + r^n) convert to natural log function
ln(FV/PV) = n[ln(1 + r)] by simplifying
n = ln(FV/PV) / ln(1 + r) solve for n
n = ln(2/1) / ln(1 + .08) solve for n, letting FV + 2, PV = 1 and rate = 8% or .08 compound annually
n = 9
n = ln(2/1) / ln(1 + .08/12) solve for n, letting FV + 2, PV = 1 and rate = .08/12 compound monthly
n = 104 months or 8.69 years
n = ln(2/1) / ln(1 + .08/365) solve for n, letting FV + 2, PV = 1 & rate = .08/365 compound daily
n = 3163 days or 8.67 years
Alternatively
A = P e ^(rt)
Given that r = 8%
= 8/100
= 0.08
2 = e^(0.08t)
ln(2)/0.08 = t
0.6931/0.08 = t
t= 8.664yrs
t = 8.67yrs
Which ever approach you choose to use,you will still arrive at the same answer.
how you define pricing?
Answer:
the cost per or per liter,one kilogram,one pound e.t c is called pricing in mathematics
Answer:
Definition: Price is the value that is put to a product or service and is the result of a complex set of calculations, research and understanding and risk taking ability. A pricing strategy takes into account segments, ability to pay, market conditions, competitor actions, trade margins and input costs, amongst others.
The nth term of a sequence is 3n + 1.
Work out the 5th term of this sequence.
Answer:
\(3\)×\(5\)\(=15\)
\(15+1=16\)
PLEASEEEEE HELP MEEEEEE!
consider the continuous random variable x, which has a uniform distribution over the interval from 40 to 44. the variance of x is approximately . a. 46 b. 1.333 c. 1.155 d. 0.333
Consider the continuous random variable x that has a uniform distribution over the interval from 40 to 44. The variance of 'x' is approximately C: 1.155.
The variance of a continuous uniform distribution over the interval [a, b] is determined by the formula given as follows:
Var(x) = (b-a)^2 / 12
For the given distribution, a = 40 and b = 44, so the variance is calculated by putting these values into the above formula:
Var(x) = (44 - 40)^2 / 12 = 1.155
Therefore, the variance of 'x' is approximately 1.155
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A stores revenue is the function y = 150x where x is the number of items they sell. Its cost function is
y = 7x + 2200 where x is the number of items they sell. How many items do they have to sell to break-
even? Show how to solve this using inverses and not the table on your calculator.
NO LINKS TO FILES OR ANYTHING LIKE THAT.
9514 1404 393
Answer:
about 15 or 16 items
Step-by-step explanation:
The break-even point is where revenue is equal to cost.
150x = 7x +2200
143x = 2200 . . . . . . . subtract 7x
x ≈ 15.38 . . . . . . . . . . divide by 143 (multiply by the inverse of 143)
__
When 15 items are sold, revenue doesn't quite cover costs. Costs still exceed revenue by 55. When 16 items are sold, revenue exceeds costs by 95. (I would call this the break-even point, because I prefer a slight profit over a slight loss.)
evaluate [(30+6)-3^2] ÷ by 9·2
Answer:
PEMDAS
[(30+6)-3^2] ÷ by 9·2
[(30+6)-9] ÷ by 9·2
[(36)-9] ÷ by 9·2
(27) ÷ by 9·2
Division comes first in this equation. Multiplication & Division goes from left to right when using PEMDAS. Same thing goes for Addition & Subtraction.
[(27) ÷ 9] · 2
(3) · 2
Answer: 6
Hopefully that made sense!
Step-by-step explanation:
_
Step-by-step explanation:
hello..................
Mr. Cruz bought 9 3/5 kg of meat. He used 2 3/5 kg for adobo, 4 3/5 kg for menudo and the rest for afritada. How many kilograms of meat did he use for afritada?
Answer:
3 3/5
Step-by-step explanation:
A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 64°. How high does the ladder reach on the building?
The height of the ladder on the building is 19.77 feet
How high does the ladder reach on the building?Represent the height of the ladder on the building with h
So, the given parameters are:
Angle, x = 64 degrees
Length of ladder, l = 22 feet
The height of the ladder on the building is calculated using
sin(x) = h/l
Substitute the known values in the above equation
sin(64) = h/22
Multiply both sides by 22
h = 22 * sin(64)
Evaluate the product
h = 19.77
Hence, the height of the ladder on the building is 19.77 feet
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Sally bought 1.4 kilograms of bananas for AED 7.35 $ a kilo. How many kilograms
of apples sold at 10.20 $ per kilogram should you buy so that the kilogram of fruit
costs 8.15 $
You should buy approximately 1.067 kilograms of apples at $10.20 per kilogram in order to have the kilogram of fruit cost $8.15.
Let's assume that Sally bought x kilograms of apples at $10.20 per kilogram.
The total cost of bananas is given as AED 7.35 per kilogram, and Sally bought 1.4 kilograms of bananas. So, the cost of the bananas is:
Cost of bananas = AED 7.35 * 1.4 = AED 10.29
The total cost of apples is given by the equation:
Cost of apples = $10.20 * x
The total cost of the fruits combined should be AED 8.15 per kilogram. So, the equation becomes:
Total cost of fruits = (Cost of bananas + Cost of apples) / (1.4 + x) = AED 8.15
Substituting the known values, we have:
(10.29 + 10.20 * x) / (1.4 + x) = 8.15
Cross-multiplying and simplifying, we get:
10.29 + 10.20 * x = 8.15 * (1.4 + x)
Expanding the equation, we have:
10.29 + 10.20 * x = 11.41 + 8.15 * x
Rearranging the equation, we get:
10.20 * x - 8.15 * x = 11.41 - 10.29
1.05 * x = 1.12
Dividing both sides by 1.05, we find:
x = 1.12 / 1.05
x ≈ 1.067
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Meg's Bakery sells the following items.
• one cinnamon roll for $2.50 or four for $10.00
• one pie for $12.50 or two pies for $22.00
• a dozen brownies for $9.00
A. Determine if there is a proportional relationship between cinnamon rolls and the cost of cinnamon rolls. If there is determine the unit rate.
Answer:
it is $2.50 multiplied by 4
Step-by-step explanation:
this is because for every 1 cinnamon roll it is $2.50 and if you multiply that by 4 you get $10, or how much it costs for 1 roll
Evaluate the expression 4w² + w-6, when w = -4
a.) 54
b.) 22
c.) -54
d.) 74
\( \huge \pink{ \underline \mathfrak{ \green{Answer}}} \: \\ \\ \: \: \rightarrow \fbox{ a). \blue{ \: 54 \: }}\)
Step-by-step explanation:
\( \bf{Given} \: \colon 4w² + w-6, when \: \: w = -4 \\ \\ \tt \underline \red{Solution} \colon \\ \\ \rightarrow \: 4w {}^{2} + w \: - 6 \\ \\ \: put \: \: value \: \: of \: \: w \: \: in \: \: given \: \: equation \\ \\ \rightarrow \: 4( - 4) {}^{2} + \: (- 4 )\: - 6 \\ \\ \rightarrow \: 4(16) \: - 4 \: - 6 \\ \\ \rightarrow \: 64 \: - 10 \\ \\ \bf \rightarrow54\)
What’s 5/8 + 5/4 (reduced fraction)
It is 1 and 7/8
Step-by-step explanation:
There are alternative ways you can do this. I just worked with what they gave me and found the lcm. Then I simplified from there as shown in the picture
Answer:
15/8 or convert into a mix number 1 7/8
Step-by-step explanation:
(5x4) + (5x8) / 8x4
= 20 + 40/32
= 60/32
*Reduce by dividing both the numerator and denominator by GCF (60,32): 4*
60 divided by 4 and 32 divided by 4 which equals 15/8
To get mixed number how many times can 8 go into 15, 1 with 7 left over leaving us with 1 7/8
How can you use counters to show division and subtraction
relationship
Answer:
what grade are u in just need to know so I can help bc I dont understand the question