tl;dr: both angles are 132° degrees because they are parallel lines.
Hello! In the problem, it states that the two lines are parallel, meaning that they are equal to each other. So, the degrees will be the same for both of them.
So, x = 132°
Three softball players discussed their batting averages after a game.
Probability
Player 1 three sevenths
Player 2 four eighths
Player 3 four sixths
By comparing the probabilities and interpreting the likelihood, which statement is true?
Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2).
Player 2 is more likely to hit the ball than Player 3 because P(Player 2) > P(Player 3).
Player 1 is more likely to hit the ball than Player 3 because P(Player 1) > P(Player 3).
Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2).
Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2).
What is Probability ?
Probability is a measure of the likelihood or chance that a particular event or outcome will occur. It is usually expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
Based on the given probabilities, we can compare the likelihood of each player hitting the ball:
Player 1 has a probability of hitting the ball of three sevenths, which can be written as P(Player 1) = 3÷7.
Player 2 has a probability of hitting the ball of four eighths, which can be written as P(Player 2) = 4÷8, which simplifies to 1÷2.
Player 3 has a probability of hitting the ball of four sixths, which can be written as P(Player 3) = 4÷6, which simplifies to 2÷3.
Comparing the probabilities, we can see that Player 3 has the highest probability of hitting the ball (2÷3), followed by Player 1 (3÷7), and then Player 2 (1÷2). Therefore, the correct statement is:
Therefore, Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2).
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Given that the equation ax³+4x²-5x-10=0 and ax³-9x-2=0 have a common root.What are the possible values of a?
Step-by-step explanation:
Let r be the common root of the given equations.
Then we have:
ar³ + 4r² - 5r - 10 = 0 ...(1)
and
ar³ - 9r - 2 = 0 ... (2)
Subtracting equation (2) from equation (1), we get:
13r² - 3r - 8a = 0
Solving for r using quadratic formula, we get:
r = [3 ± sqrt(9 + 52a)]/26
For r to be a real number, the discriminant of the quadratic expression inside the square root must be non-negative:
9 + 52a ≥ 0
Solving for a, we get:
a ≥ -9/52
Therefore, the possible values of a are all real numbers greater than or equal to -9/52.
Find an equation that fits this graph:
Answer:
y = -2/3x + 4
Step-by-step explanation:
Use formula for slope given two points.
m = (y2 - y1)/(x2 - x1)
The two points are (0, 4) and (6, 0)
m = (0 - 4)/(6 - 0)
m = -4/6
m = -2/3
y = -2/3x + b
The y-intercept b is 4.
can you solve this and show your work please? 4x-6 ≥6x-20
tysmm
Step-by-step explanation:
4x-6≥6x-20
4x-6x≥-20+6
-2x≥-14
-2x/-2≥-14/-2
x≤7
the sign changed because we divided by negative number and hope it helped
Write an exponential equation in the form y = a· that passes through the points (3, 2) and (6, 16) (Assume asymptote is y=0)
Step-by-step explanation:
Since we are looking for an exponential equation in the form y = a·b^x, where b is the base of the exponential function, we can use the two given points to set up a system of equations and solve for a and b.
Using the point (3, 2), we have:
2 = a·b^3
Using the point (6, 16), we have:
16 = a·b^6
Dividing the second equation by the first equation, we get:
16/2 = (a·b^6) / (a·b^3)
8 = b^3
Taking the cube root of both sides, we get:
b = 2
Substituting this value of b into either of the two equations, we can solve for a. Using the first equation, we have:
2 = a·2^3
2 = 8a
a = 1/4
Therefore, the exponential equation that passes through the points (3, 2) and (6, 16) and has an asymptote of y=0 is:
y = (1/4)·2^x
or
y = 0.25·2^x
pls help, if you could, please explain.if not that's fine :)) x
Answer:
c
Step-by-step explanation:
A playground is in the shape of a rectangle. The length of the rectangle is three times its width. The area of the playground is 19,500 square feet. What is the length of the playground? Round to the nearest foot. Hint: use A=LW
The length of the rectangular playground is 241.86 foot.
How to calculate length of the rectangle?Given that area of rectangle is 19,500 sq.ft and length of rectangle is three times its width.The area for rectangle is given by formula: A=LW.
Now according to the given condition, L= 3W. Further we'll solve by putting L= 3W in the formula for rectangle.
Calculation:A=LW
As given A= 19,500 sq.ft and considering L=3W,
19,500 = 3W*W
19,500 = 3W^2
∴ W^2 = 6500
∴ W = \(\sqrt{6500}\)
∴ W = 80.6225 ft. ≈ 80.62 ft.
Now putting the value W = 80.62 in equation L =3W,
L = 3* 80.62
L = 241.86 ft.
The length of the rectangular playground is 241.86 foot.
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help pls this thing has to be 20 characters sooooo
Answer:
3 x 2.5 x 2.5 = 6.325 centimeter cubed
Step-by-step explanation:
mark me brainliest please
formula for a prism is L x W x H
Answer:
18.75 cm³
Step-by-step explanation:
3 × 2.5 × 2.5
18.75
the accompanying histogram shows the life expectancies at birth for 190 countries as collected by an international health agency. would you report the standard deviation or the iqr? explain briefly.
The standard deviation is a more technical measure and may not be as easily understood by a high school student is 50%
A histogram is a graph that represents the distribution of data. It uses bars to show the frequency of data within different ranges or bins. The height of each bar represents the number of observations within that bin.
In the case of the life expectancies at birth for 190 countries, the histogram shows the frequency of the different ranges of life expectancies. To describe the spread of the data, we can use either the standard deviation or the interquartile range (IQR).
The standard deviation is a measure of how far each observation is from the mean of the data set. It is calculated by finding the difference between each observation and the mean, squaring those differences, and taking the average of the squared differences. The standard deviation gives a measure of the amount of variability in the data.
The IQR is a measure of the spread of the data that is based on the middle 50% of the observations.
It is calculated by finding the first quartile (25th percentile), the median (50th percentile), and the third quartile (75th percentile).
The IQR is then defined as the difference between the third quartile and the first quartile.
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please help me with this thankyou
The y = x + 5 is an example of what type of relationship?
A. Multiplicative because 5 is added to the unknown value.
B. Additive because 5 is added to unknown value.
C. Multiplicative because 5 is multiplied to the unknown value.
D. Additive because 5 is multiplied to the unknown value.
Given the following test scores, find a 95 percent confidence interval for the population mean: 148, 154, 158, 160, 161, 162, 166, 170, 182, 195, 236. Assume population normality
A 95% confidence interval for the population mean can be calculated by finding the sample mean and the margin of error for a given level of confidence.
To do this, we need to find the sample mean and standard deviation of the sample data and then use the standard error of the mean.
Here are the steps to calculate the 95% confidence interval:
Calculate the sample mean:
The sample mean is calculated by summing up all the sample data points and dividing by the total number of data points:
Sample mean = (148 + 154 + 158 + 160 + 161 + 162 + 166 + 170 + 182 + 195 + 236) / 11 = 167.36
Calculate the sample standard deviation:
The sample standard deviation is calculated as follows:
Sample standard deviation = sqrt(((148-167.36)^2 + (154-167.36)^2 + (158-167.36)^2 + (160-167.36)^2 + (161-167.36)^2 + (162-167.36)^2 + (166-167.36)^2 + (170-167.36)^2 + (182-167.36)^2 + (195-167.36)^2 + (236-167.36)^2) / 11-1) = 33.07
Calculate the standard error of the mean:
The standard error of the mean is calculated as follows:
Standard error of the mean = sample standard deviation / sqrt(sample size) = 33.07 / sqrt(11) = 11.11
Calculate the margin of error:
The margin of error is calculated as follows:
Margin of error = t-value * standard error of the mean
where t-value is the critical value from the t-distribution table for a given degree of freedom and level of confidence. For a 95% confidence level and 10 degrees of freedom, the t-value is approximately 1.833.
Margin of error = 1.833 * 11.11 = 20.53
Calculate the lower and upper bounds of the confidence interval:
The lower and upper bounds of the confidence interval are calculated as follows:
Lower bound = sample mean - margin of error = 167.36 - 20.53 = 146.83
Upper bound = sample mean + margin of error = 167.36 + 20.53 = 187.89
Therefore, the 95% confidence interval for the population mean is [146.83, 187.89]. This means that we are 95% confident that the true population mean lies between 146.83 and 187.89.
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When multiplying fractions do you multiply the denominator.
Answer:
Yes
Step-by-step explanation:
When multiplying fractions you do both the numerator and denominator.
however, when adding or subtracting fractions the denominator needs to be the same for both fractions before you start
a <----- numerator
---
b <---- denominator
Simplify this expression.
1/4 + 4/5 (3/4 x - 1 1/9).
Help!!! I need this asap!
Answer:
x= 14.8
Step-by-step explanation:
√12²+8²= 4√13
56.3= sin-¹(12/4√13)
tan56.3= 21.6/4√13
x+8= √21.6²+4√13²
x= 14.8
hiii please help i’ll give brainliest if you give a correct answer tysm!
Answer:
the ratio is 4:1 so the answer is 1.25
Answer:
1.25
Step-by-step explanation:
the rule is x/4=y
5/4=1.25
Find each measure
m angle Y
Answer:
losiento nomelase ay pala próxima
3. Which statement is true about a translation?
A. A translation takes a line to a parallel line or itself.
B. A translation takes a line to a perpendicular line.
C. A translation requires a center of translation.
D. A translation requires a line of translation.
Write a recursive formula for the arithmetic sequence:
7,4,1,-2
Answer:
N - 3
Step-by-step explanation:
It is a series of -3 so:
7 -3 = 4
4 - 3 = 1
1 - 3 = -2
So:
N-3
where N is the present value in the sequence.
The probability that Mr Smith will have coffee with his breakfast is 0. 35. Find the probability that in the next 25 mornings, Mr Smith will have coffee on exactly 8 mornings
The probability that Mr Smith will have coffee on exactly 8 mornings out of the next 25 is 0.142, or 14.2%.
This scenario can be modeled by a binomial distribution, where:
The probability of success (having coffee) on any given morning is p = 0.35
The number of trials (mornings) is n = 25
The number of successes (mornings with coffee) we want to find the probability for is k = 8.
The probability mass function for a binomial distribution is given by:
\(P(X = k) = (n \: choose \: k) \times p^k \times (1-p)^{(n-k)},\)
where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items out of n. It can be calculated as:
(n choose k) = n! / (k! × (n-k)!)
Using this formula and putting in the values we have,
\(P(X = 8) = (25 \: choose \: 8) \times 0.35^8 \times (1-0.35)^{(25-8)} \)
\(P(X = 8) ≈ 0.142\)
Therefore, the probability that Mr Smith will have coffee on exactly 8 mornings out of the next 25 is approximately 0.142, or 14.2%.
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The graph of a linear equation is shown. Place values in the table to show three ordered pair are each part of the solution set of the linear equation. By the way, if you make your answer a troll, you can get punished by mods. I already have two warnings.
The three ordered pairs (-1, 7), (0.5, 4), and (2, 1) are all part of the solution set of the linear equation y = -2x + 5. They all lie on the same line represented by the graph.
The linear equation represented by the graph is y = -2x + 5. To find three ordered pairs that are part of the solution set of this equation, we can simply choose any three points on the line and list their coordinates.
One possible set of ordered pairs is (-1, 7), (0.5, 4), and (2, 1). To verify that these points are indeed part of the solution set, we can substitute their coordinates into the equation and check if it holds true.
For (-1, 7):
y = -2x + 5
7 = -2(-1) + 5
7 = 7
The equation holds true.
For (0.5, 4):
y = -2x + 5
4 = -2(0.5) + 5
4 = 4
The equation holds true.
For (2, 1):
y = -2x + 5
1 = -2(2) + 5
1 = 1
The equation holds true.
Therefore, the three ordered pairs (-1, 7), (0.5, 4), and (2, 1) are all part of the solution set of the linear equation y = -2x + 5. This means that they all lie on the same line represented by the graph.
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The work done in moving an object through a displacement of d meters is given by W = Fd cos 0, where 0 is the angle between the displacement and the force F exerted. If Lisa does 1500 joules of work while exerting a
100-newton force over 20 meters, at what angle was she exerting the force?
Answer:
Solution is in the attached photo.
Step-by-step explanation:
This question tests on the concept of the usage of the formula for work done.
What is the exact surface area of this cylinder?
Enter your answer in the box.
The required exact surface area of the cylinder is 2\(\pi\)r(r+h).
To calculate the surface area of the cylinder, the required measurement of the radius (r) of the base of the given cylinder and height (h) of the cylinder.
The formula to find the lateral surface area of a given cylinder is 2\(\pi\)rh and the formula to find the surface area of a given cylinder is 2\(\pi\)r(r+h).
Let the radius of the base of the cylinder be f and height of the cylinder be g then the lateral surface of cylinder is 2\(\pi\)fg, the surface area of a given cylinder is 2\(\pi\)f(f+g).
Hence, the required exact surface area of the cylinder is 2\(\pi\)r(r+h).
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you work for an application specific integrated circuit foundry. you're checking the wafer thickness. ideal wafer thickness is 246um, with a standard deviation of 3.60. a sample of 44 wafers shows a sample average of 245.05 um. how many standard deviations from the mean that the mean is the sample average for a hypothesis test to determine if the wafer thickness is within specification. express your answer accurate to two decimal places.
The sample mean is -0.0417 standard deviations from the population mean.
What is standard deviation?Standard deviation is a measure of the dispersion or spread of a set of data.
What is mean?The mean, also known as the arithmetic mean or average, is a measure of the central tendency of a dataset.
(sample mean - population mean) / standard deviation
Plugging in the values from the problem, we get:
(245.05 - 246) / 3.60 = -0.15 / 3.60 = -0.0417
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Can someone please help me with this?? I’m bad at this kind of stuff heh
Answer:
14.75 in.²
Step-by-step explanation:
A = 1.5² + ½(2.5 + 1.5)(2) + 4(2) + ½(1)(1)
14.75 in.²
Answer:
Triangle=1/2BH, 1/2(1)(1)=.5
Parallelogram=BH, (4)(2)=8
Trapezoid=((B1+B2)/2)*H, ((1.5+2.5)/2)*2-->(4/2)*2=4
Square=BH, (1.5)(1.5)=2.25
.5+8+4+2.25=14.75
Step-by-step explanation:
Find the measurement of segment WY. Assume that each figure is not drawn to scale. Express your answer as a decimal and do NOT include units.
Answer:
\(here \: given \: that \: wy = yx \\ so \: wy + yx = 8.8 \\ 2yx = 8.8 \\ yx = 4.4\)
\(here \: given \: that \: wy = yx \\ so \: wy + yx = 8.8 \\ 2yx = 8.8 \\ yx = 4.4mm \\ thank \: you\)
x1 ... xn have distribution f, let theta = f(b)-f(a), estimated standard error of theta
Estimated standard error of theta for a sample with distribution f, where theta = f(b) - f(a).
1. Calculate the sample mean (μ) of the distribution: μ = (x1 + x2 + ... + xn) / n
2. Calculate the sample variance (s²) of the distribution: s² = [(x1 - μ)² + (x2 - μ)² + ... + (xn - μ)²] / (n - 1)
3. Calculate the standard deviation (s) of the distribution: s = sqrt(s²)
4. Estimate the standard error of theta (SE_theta): SE_theta = s / sqrt(n)
By following these steps, you'll find the estimated standard error of theta for a sample with distribution f, where theta = f(b) - f(a).
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let f(x, y) be a function such that • the limit of f(x, y) as x → 0 along the path y = x is 0. • the limit of f(x, y) as x → 0 along the path y = x 2 is 0.
The function f(x, y) satisfies the conditions that its limit approaches zero as x approaches zero along two different paths: y = x and y = x^2. This implies that as x approaches zero, the function f(x, y) must approach zero regardless of whether y varies linearly or quadratically with x.
The given conditions state that the limit of f(x, y) as x approaches zero along the path y = x is zero. This means that as x gets arbitrarily close to zero, the function f(x, y) approaches zero when y varies linearly with x. Similarly, the second condition states that the limit of f(x, y) as x approaches zero along the path y = x^2 is also zero. This implies that when y varies quadratically with x, the function f(x, y) still approaches zero as x approaches zero. Therefore, the function f(x, y) must satisfy both conditions by converging to zero as x approaches zero along both paths.
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Find the surface area and round to the nearest hundredths place when necessary.
Answer:
9.4 x 11 = 103.4
15 + 7 = 22, 22 x 5 = 110, 110 divided by 2 = 55
55 x 2 (since there are two trapezoids) = 110
5 x 11 = 55
7 x 11 = 77
15 x 11 = 165
Now we add all the areas up:
103.4 + 110 + 55 + 77 + 165 = 510.4 square feet2 is your answer.
Im sorry for wasting your time just wanted to say you're beautiful <3