Find the value of x and y from the figure, if A, B & C are points on the circle with centre O.
Answers
Answer:
x=55 y=125
Step-by-step explanation:
X= 110/2=55
if BC is 110, BAC=250
so Y=250/2=125
Related Questions
Using the figure below, define and name two pairs of corresponding angles.
It's due today please help
Answers
Answer:
There are no corresponding angles shown in the figure.
They are all pairs of supplementary angles.
Step-by-step explanation:
corresponding angles add up to 90°
supplementary angles add up to 180°
Write the equation of the line that passes through the
points (2, 1) and (-4, -8). Put your answer in fully
simplified point-slope form, unless it is a vertical or
horizontal line.
Answers
An equation of the line in point-slope form that passes through the points (2, 1) and (-4, -8) is y - 1 = 3/2(x - 2).
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of any straight line can be determined by using this mathematical expression:
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.Next, we would determine the slope;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (-8 - 1)/(-4 - 2)
Slope (m) = -9/-6
Slope (m) = 3/2
At data point (2, 1) and a slope of 3/2, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 1 = 3/2(x - 2)
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monitors manufactured by tsi electronics have life spans that have a normal distribution with a standard deviation of 1300 hours and a mean life span of 15,000 hours. if a monitor is selected at random, find the probability that the life span of the monitor will be more than 17,340 hours. round your answer to four decimal places.
Answers
The probability that the life span of the monitor will be more than 17,340 hours is approximately 0.0359, rounded to four decimal places.
We can use the standard normal distribution to solve this problem by standardizing the value of 17,340 hours to a z-score:
z = (17340 - 15000) / 1300 = 1.8
Using a standard normal distribution table or calculator, we find that the probability of getting a value greater than 1.8 is 0.0359.
Therefore, the probability that the life span of the monitor will be more than 17,340 hours is approximately 0.0359, rounded to four decimal places.
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There are 65 chairs set up for a movie. they are arranged into 5. How many chairs are in each row
help plz it’s a test
Answers
13
Explanation:
5 divided by 65 = 13
13 chairs in each row of 5 equals to 65
A helicopter descends until it reaches the ground. The equation y=-300x+1200 gives the height, y in feet, X minutes after the pilot begins the descent.
Answers
The x-intercept is (4, 0) and y-intercept is (0, 1200) for the equation y = -300x + 1200 and graph shown below.
Define a term Graph?The data are simply presented in a structured manner in the graph. It helps us understand the data better. The mathematical data accumulated through perception is alluded to as information.
The data or information is shown in a line graph by being connected to one another by a straight line, which is a series of markers or dots.
Given equation is: y = -300x + 1200
For y-intercept we have to put, x=0
⇒ y = 1200
For x-intercept put, y= 0
⇒ 0 = -300x +1200
⇒ x= 4
Hence, the y-intercept is ( 0, 1200 ) and the x-intercept is ( 4, 0 )
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right angled triangle calc: find b, a=5, c=13
Answers
Question 6 (Essay Worth 10 points)
(05.01 HC)
Monogram Masters advertises on its website that 92% of customer orders are received within five working days. They performed an audit from a random sample
of 200 of the 3,000 orders that month and it shows 175 orders were received on time.
Part A: Can we use a normal approximation? Explain. (5 points)
Part B: If Monogram Masters customers really receive 92% of its orders within five working days, what is the probability that the proportion in the random sample
of 200 orders is the same as the proportion found in the audit sample or less? (5 points)
Answers
Considering the problem described, we have that:
a) The normal distribution can be used, as both \(np \geq 10\) and \(n(1-p) \geq 10\).
b) There is a 0.0132 = 1.32% probability that proportion in the random sample of 200 orders is the same as the proportion found in the audit sample or less.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with \(\mu = np, \sigma = \sqrt{np(1-p)}\), as long as \(np \geq 10\) and \(n(1 - p) \geq 10\).The parameters of the binomial distribution are:
n = 2000, p = 0.92.
Hence:
np = 200 x 0.92 = 184.n(1-p) = 200 x 0.08 = 16.Since both \(np \geq 10, n(1 - p) \geq 10\), a normal approximation can be used. The mean and the standard deviation of the approximation are given as follows:
\(\mu = np = 200 \times 0.92 = 184\).\(\sigma = \sqrt{np(1 - p)} = \sqrt{200 \times 0.92 \times 0.08} = 3.8367\)The probability that proportion in the random sample of 200 orders is the same as the proportion found in the audit sample or less, using continuity correction, is P(X < 175.5), which is the p-value of Z when X = 175.5, hence:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{175.5 - 184}{3.8367}\)
Z = -2.22.
Z = -2.22 has a p-value of 0.0132.
0.0132 = 1.32% probability that proportion in the random sample of 200 orders is the same as the proportion found in the audit sample or less.
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Henri buys 126 inches of a fabric that costs $12 for each yard. How much dos Henri pay for the fabric
Answers
Answer: $47.28
Step-by-step explanation:
There are 126 inches of fabric.
You need to convert this to yard as that is the pricing unit.
1 yard = 36 inches
126 inches is:
= 126/32
= 3.94 yards
Cost is $12 per yard so Henry pays:
= 12 * 3.94
= $47.28
Which correctly shows how to use the gcf and the distributive property to find an expression equivalent to ?.
Answers
The correct option B. 9(5 + 8) ; is the equivalent expression to 45 + 72 using the GCF and the distributive property.
Explain the distributive property?The distributive property states that multiplying the sum of 2 or more operand by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.A mathematical statement made up of variables, constants, and mathematical operators is called an expression.
The formula is 45 + 72.
45 and 72 divided by one is three and nine.
The GCF is nine.
The largest number that evenly divides two or even more given numbers is known as the greatest common factor.
You can write the phrase as,
9 ( 5 + 8)
45 +72 = 9 ( 5 + 8)
Thus, the Distributive property was used to factor this.
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The correct question is-
Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 45 + 72?
A. 3(15 + 24)
B. 9(5 + 8)
C. (5)(9) + (2)(36)
D. (3)(15) + (8)(9)
Can I have answer to this question please?
Answers
Given the data in the table, the slope, y-intercept and equation of the table are 1/3, (0,-2), and y = (1/3)x - 2 respectively.
What is the slope, y-intercept and slope-intercept form?Given that;
x y
-3 -3
0 -2
3 -1
6 0
9 1
Slope m = rise/run = (y₂ - y₁)/(x₂-x₁)
Using the, the points (-3,-3) and (0,-2) from the table
x₁ = -3y₁ = -3x₂ = 0y₂ = -2Slope m = rise/run = (y₂ - y₁)/(x₂-x₁)
Slope m = rise/run = ((-2) - (-3)) / ( 0 - (-3) )
Slope m = 1/3
To determine the y-intercept b, use the formula for equation of line.
y = mx + b
Substitute in Point( -3,-3 ) and m = 1/3 and solve for b
y = mx + b
-3 = (1/3)(-3) + b
-3 = -3/3 + b
-3 = -1 + b
b = -3 + 1
b = -2
Hence the y-intercept in point form is (0,-2)
The equation of the line in slope-intercept form will be;
y = mx + b
y = (1/3)x + (-2)
y = (1/3)x - 2
Given the data in the table, the slope, y-intercept and equation of the table are 1/3, (0,-2), and y = (1/3)x - 2 respectively.
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Mr. Delgado has some young orange trees. He wants to plant them in 49 rows. If t is the total number of orange trees, enter an algebraic expression to represent how many trees he can plant in each row.
HURRY HELP PLS!!!
Answers
Answer:which website is it from i can help u better
Step-by-step explanation:
Mason conjectures that in a right triangle, the cosine of an angle is always equal to the sine of its complement. Is Mason's conjecture correct? Choose the best answer.
Answers
Answer:
Yes, because the leg adjacent to one of the acute angles is opposite the other acute angle.
Step-by-step explanation:
Just did it
what’s the inequality of -2x+4>10
Answers
Answer:
x > -3
Step-by-step explanation:
-2x + 4 > 10
-2x (+ 4 - 4) > 10 - 4
-2x > 6
-2x/-2 > 6/-2
x > -3
Answer:
× < -3
Step-by-step explanation:
Move constant to the right hand side and change its sign
-2x > 10 - 4
Subtract the numbers
-2x > 6
Divide both sides by -2 and flip the sign
x < -3
You need 520 mL of a 15% alcohol solution. On hand, you have a 65% alcohol mixture. How much of the 65% alcohol mixture and pure water will you need to obtain the desired solution?
You will need _____ mL of pure water and _____ mL of the 65% solution.
Answers
Answer:
400 ml, 120 mlStep-by-step explanation:
Alcohol content of 15% solution:
0.15*520 = 78 mlVolume of 65% solution containing 78 ml of alcohol:
78/0.65 = 120 mlRequired water volume to obtain 15% solution:
520 - 120 = 400 mlNEED HELP IMMEDIATELY!
Simplify 10√2y + 5√2y + 3√2y.
A. 18√6y
B. 18√2y
C. 12√2y
D. 18√6y^3
(ANSWER IS NOT A)
Answers
18 root
2
Step-by-step explanation:
In this question imagine there is no y
It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2
The table below shows the results of a survey about vacation destinations and the length of those vacations.
Which of the following includes the correct relative frequency and conclusion based on the table?
A
The relative frequency for traveling in state for longer than a week is 17%. This could be low because people want to spend more time if they have traveled farther.
B
The relative frequency for traveling out of state for longer than a week is 48%. This could be high because people want to spend more time if they have traveled farther.
C
The relative frequency for traveling in state for longer than a week is 30%. This could be low because people want to spend more time if they have traveled farther.
D
The relative frequency for traveling out of state for longer than a week is 83%. This could be high because people want to spend more time if they have traveled farther.
Answers
The correct relative frequency and the conclusion based on the table is B. The relative frequency for traveling out of state for longer than a week is 48%. This could be high because people want to spend more time if they have traveled farther.
Given a table.
Relative frequency of a data set is defined as the ratio of the number of outcomes that occured by the total number of trials.
Total number of surveys = 100
Relative frequency for traveling in state for longer than a week is,
10/100 = 10%
Relative frequency for traveling out of state for longer than a week is,
48/100 = 48%
This must be true since people will be more likely to spend more time if they travelled farther.
Hence the correct option is B.
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assuming that if a logical vector z has at least one entry true, which of the function will always be false ? group of answer choices any(!z) all (!z) any(z) all(z)
Answers
If a logical vector z has at least one entry TRUE, the function all(!z) will always be false.
If a logical vector contains only TRUE items, the all() method returns FALSE; otherwise, it returns TRUE.
The any() function, on the other hand, gives a result of TRUE if a logical vector has at least one element that is TRUE and FALSE otherwise.
any(z) will always be TRUE if z contains at least one TRUE element since there is at least one TRUE element. On the other hand, depending on whether all of the components of z are TRUE, all(z) may or may not be TRUE.
any(!z) will always return FALSE since if z has at least one TRUE element, then!z must include at least one FALSE element.
Additionally, all(!z) will always return FALSE if any element is FALSE since if z has at least one TRUE element, then!z must include at least one FALSE element.
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what is the hypothesis of the conditional statement? if i can save the money, then i will visit my aunt in spain.
Answers
Answer:
Step-by-step explanation:
The answer would be A because the hypothesis of a conditional statement is the statement after the "if", but before the "then".
Samantha’s college runs on a trimester schedule so she receives a bill 3 times a year for tuition. Each trimester costs $1,450, and Samantha must complete 2 years of college to receive her degree. The average cost for books each trimester is $350. Approximately what will be the total cost for Samantha to get her degree?
Answers
Answer:
10800
Step-by-step explanation:
1 trimesters cost = 1450 + 350 $
2 year -> 6 trimester
1800$ x 6 = 10800 $
The volume of the square pyramid is ___ cubic centimeters.
Answers
Answer:
The volume of the square pyramid is 1,125 cubic centimeters
Step-by-step explanation:
From the diagram in the question, we have;
The height of the pyramid, h = 8 cm
The side length of the square base of the pyramid = 15 cm
The area of the square base of the pyramid, A = 15 cm × 15 cm = 225 cm²
The volume of a pyramid = 1/3 × A × h
Where;
A = The base area of the pyramid
h = The height of the pyramid
Therefore, the volume of the square pyramid, V = 1/3 × A × h
∴ V = 1/3 × 225 cm² × 15 cm = 1,125 cm³
The volume of the square pyramid, V = 1,125 cm³
f(x) = x^2. What is g(x)?
please answer quick i’ll give brainliest
Answers
Answer:
-x² - 3
Step-by-step explanation:
If a function is concave down, that means the x value is negative.
Hence we know that it should be -x²
The graph is translated 3 units down
Hence:
-x² - 3
ample 8 it has been reported that 65 % of adults aged 70 and over got their flu shot last year. in a random sample of 200 adults aged 70 and over, find the mean, variance, and standard deviation for the number who got their flu shorts.
Answers
The mean, variance, and standard deviation for the number who got their flu shots are 130, 45.5, and 6.74, respectively.
Given that the probability of adults aged 70 and over who got their flu shot is 65%, and the sample size is 200. We can consider this situation as a binomial distribution with parameters n = 200 and p = 0.65.
The mean of the binomial distribution is given by:
μ = np = 200 × 0.65 = 130
The variance of the binomial distribution is given by:
σ^2 = np(1 - p) = 200 × 0.65 × (1 - 0.65) = 45.5
The standard deviation of the binomial distribution is the square root of the variance:
σ = √45.5 = 6.74
Therefore, the mean, variance, and standard deviation for the number who got their flu shots are 130, 45.5, and 6.74, respectively.
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How many different sets of two-letter initials can you make using the letters D, G, M, S, and T if you can use each letter only once in a set?
Answers
Answer:
20
Step-by-step explanation:
use ur head
DG, DM, DS, DT GD, GM, GS, GT MD, MG, MS, MT, SD, SG, SM, ST, TD, TG, TM, TS. Those are all the possible combinations using each letter only once in each set.
In short, you can make 20 sets.
Factor 28+56t+28w28+56t+28w28, plus, 56, t, plus, 28, w to identify the equivalent expressions. Choose 2 answers:
Answers
Answer: The factorization of \(28+56t+28w\) \(=28(1+2t+w)\)
The factors of \(28+56t+28w\) are 28 and 1+2t+w.
Step-by-step explanation:
The given expression : \(28+56t+28w\)
To factorize it, we need to find the common factor.
As 56 can be written as 2 x 28.
So, the above expression would become
\(28+2\times28t+28w\)
Now, taking 28 as common from all the terms, we will get
\(28(1+2t+w)\)
Thus, the factorization of \(28+56t+28w\) \(=28(1+2t+w)\)
And the factors of \(28+56t+28w\) are 28 and 1+2t+w.
Answer:
b&d
Step-by-step explanation:
i did khan on it and got it right
Suppose the probability that a Wide Receiver catches a ball thrown to him is 0.9. Let X model the number of catches he has if he is targeted 8 times in a game. What is the mean number of balls you would expect him to catch
Answers
Using the binomial distribution, the mean number of balls you would expect him to catch is of 7.2.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
For this problem, the parameters are:
n = 8, p = 0.9.
Hence the mean is:
E(X) = np = 8 x 0.9 = 7.2.
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Solve the formula c = pi d for d
A. d = pi c
B. d = c/pi
C. d = c - pi
D. d = pi/c
Answers
Answer:
B
Step-by-step explanation:
C=pi×d
C÷pi = Pi×d÷Pi
C/pi=d
Answer:
B
Step-by-step explanation:
Given
C = πd ( isolate d by dividing both sides by π )
\(\frac{C}{\pi }\) = d
What is the result of adding these two equations?
2x + 3y = -5
5x - y = -12
Answers
The result of addition of the two equations 2x + 3y=-5 and 5x - y = -12 is 7x + 2y = -17.
We have to add the two equations 2x + 3y = -5 and 5x - y = -12.
In algebra, like terms can be added or subtracted. Two equations can be added by adding their L.H.S to L.H.S and R.H.S to R.H.S. (L.H.S is Left hand side and R.H.S is Right hand side)
Adding the two equations,
2x + 3y + 5x - y = (-5) + (-12)
2x+5x+3y-y= -5-12
7x + 2y = -17
Hence, by adding 2x + 3y = -5 and 5x - y = -12, we get 7x + 2y = -17.
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which of the following equations has a unique (one) solution, no solution, or many
11x+4=3x+12
Answers
Answer:
x=1
Step-by-step explanation:
11x+4=3x+12
11x=3x+8
8x=8
x=1
Hope this helps!
-AxekickNebulite
What is 7x6.3 help pls I hate math
Answers
Answer:
7×6.3 answer will be is 44.1
Doug bought a new car for $25,000. He estimates his car will depreciate, or lose value, at a rate of 20% per year. The value of his car is modeled by the equation V=P(1-r)^t, where V is the value of the car, P is the price he paid, r is the annual rate of depreciation, and t is the number of years he has owned the car. According to the model, what will be the approximate value of his car after 4 1/2 years
Answers
According to the equation model V=P(1-r)^t, the approximate value of Doug's car after 4¹/₂ years is $9,200.
What is the equation?The equation is a mathematical statement or model that shows that two mathematical expressions are equal.
In this situation, the mathematical expressions equal to each other are V, the car's depreciated value, and P(1-r)^t, which combines variables.
Cost of the new car = $25,000
Depreciation rate per annum = 20%
Value of the car = V
The price paid initially = P = $25,000
The annual rate of depreciation = r
Depreciation period = 4¹/₂ years
Equation model: V=P(1-r)^t
Depreciated value after 4 1/2 years, V = $25,000 (1 - 0.2)^4¹/₂
= $9,158.93
= $9,200
Thus, using the equation model, after 4¹/₂ years, the value of Doug's car has depreciated to $9,200.
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