Answer:
Step-by-step explanation:
144/25=x/5
times both sides by 5
144/5=x
simplify
x=144/5 or 28.8
Answer: x= 144/5
Step-by-step explanation:
Cross-Multiply
144/25 = 25x
Swap the sides so you can solve
720 =25x
Divide both sides
25x=720
x=144/5
solve these questions
Answer:
a) The perimeter of a rectangle is given by the formula:
P = 2L + 2W
where P is the perimeter, L is the length, and W is the width. We are given that the width of the rectangle is 2x and the length is three times the width. So we can set up an equation that represents the given information:
P = 2L + 2W
168 = 2(3W) + 2W
168 = 8W
b) To solve for W, we can divide both sides of the equation by 8:
168/8 = W
21 = W
Therefore, the width of the rectangle is 21cm.
c) To find the length of the rectangle, we can use the expression that represents the length in terms of the width:
L = 3W
L = 3(21)
L = 63
Therefore, the length of the rectangle is 63cm.
The width and length of the rectangle are 21cm and 63cm, respectively.
(a) one pair of vertical angles
(b) one pair of angles that form a linear pair
(c) one pair of angles that are supplementary
There can be any angles like vertical, linear pair, supplemenatry which can be shown in the following figure.
(a) One pair of vertical angles:
Vertical angles are formed by the intersection of two lines. They are opposite to each other and are congruent. For example, in the following diagram, ∠1 and ∠6 are a pair of vertical angles, and ∠3 and ∠8 are another pair of vertical angles.
b) one pair of angles that form a linear pair:
A linear pair is formed by pair of adjacent angles whose non-adjacent sides form a line.
In the figure the linear pair will be ∠4 and ∠8.Beacause they are adjacent angles whose non adjacent sides form a line.
c)one pair of angles that are supplementary:
Two are said to be supplementary if they add up to be 180 degrees.
So in the figure ∠4 and ∠8 can be supplementary and also ∠1 and ∠5 can be supplementary.
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Fred is a plant manager at Salem Construction Company. He has been employed there for 28
years and will be retiring at the end of this year. His pension is calculated on the average of
his last four years' salaries. In those years, he earned $82,000, $96,000, $105,000, and
$109,000. His employer will credit him 1.8% of that average for each year he worked.
a) Calculate Fred's annual pension.
B) Find his monthly p
ension.
Fred's Annual pension will be $603.
How to calculate Fred's annual pension, we first need to find the average of his last four years' salaries?Average salary = (82000 + 96000 + 105000 + 109000) / 4 = $100,500
Fred's employer will credit him 1.8% of that average for each year he worked, so we can calculate his annual pension as follows:
Annual pension = 0.018 * 4 * 100500 = $7,236
Therefore, Fred's annual pension will be $7,236.
How to find his Annual pension?We can simply divide his annual pension by 12:
Annual pension = 7236 / 12 = $603
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Kathy is adding a new slide to her swing set. The slide is 5 feet long, and the ladder is 4 feet high. How
many feet away is the base of the ladder from the end of the slide, g, as shown below?
5 ft
g
4ft
The number of feet away is the base of the ladder from the end of the slide, g, as shown is 3 ft.
How many feet away is the base of the ladder from the end of the slide?The base of the ladder from the end of the slide forms a right triangle.
Hypotenuse² = opposite² + adjacent²
Hypotenuse = 5 ft
Opposite = 4 ft
Adjacent = g
So,
Hypotenuse² = opposite² + adjacent²
5² = 4² + g²
25 = 16 + g²
subtract 16 from both sides
25 - 16 = g²
9 = g²
find the square root of both sides
√9 = g
g = 3 ft
In conclusion, the base of the ladder is 3 ft away from the end of the slide.
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7. Write the unknown value that makes this
statement true:
25% of is 10
Answer: 40
Step-by-step explanation:
25/100 x ? = 10
multiply both sides by 100/25
x= 10 x 100/25
x=10
2. Simplify the expression (5-3i) (-7 - 31) - (6-2i). Show your work
Answer:
Step-by-step explanation:
Let's simplify the expression step by step:
(5-3i)(-7-31) - (6-2i)
= (5)(-7) + (5)(-31i) - (3i)(-7) - (3i)(-31) - 6 + 2i
= -35 - 155i + 21i + 93 - 6 + 2i
= -35 + 87 - 63i + 2i - 155i
= 52 - 216i
Therefore, the simplified expression is 52 - 216i.
A line has a slope of 0 and passes through the point (4,4). Write its equation in slope-intercept form.
Answer:The equation of a line that passes through a point is an algebraic equation. It can also be referred to as the Slope-Intercept Equation.The equation of the line that passes through the point (4, 4) and has a slope of 0 is written as: y = 4 The equation of the line through a point (x1, y1) can be represented by the algebraic equation:y = mx + cwhere:m = slopec = y - interceptFrom the question,(x1, y1) = (4, 4)m = slope = 0Substituting these values into the algebraic equation,4 = (0 x 4) + c Hence, y = 4The equation of the line that passes through the point (4, 4) and has a slope of zero is y = 4
Answer:
y=4
Step-by-step explanation:
If a line has a slope of 0, then it is a horizontal line, and all points on the line have the same y-coordinate. We are given that the line passes through the point (4, 4). Therefore, the equation of the line in slope-intercept form is:
y = b
where b is the y-coordinate of the point through which the line passes. In this case, b = 4, so the equation of the line is:
y = 4
Therefore, the equation of the line in slope-intercept form is y = 4.
(Please could you kindly mark my answer as brainliest)
Find the value of x.
The value of the angle subtended by the chord WV is: x° = 79°.
How to find the angle subtended by the chord?The equal angles equal Chords Theorem states that If the angles subtended by the chords of a circle are equal in measure, then it means that the length of the chords is equal.
Now, we are given that the 2 chords are equal and we are given one angle extended by one chord as 79°. Therefore, we can easily say that by using the equal angles equal Chords theorem, that angle x° is equal to 79°.
Thus, we can say that is the value of the angle x°.
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9. The linear regression equation is = 34.38x - 91.75. Use the equation to predict how far this
4.38x-91-75 Use
person will travel after 10 hours of driving.
The answer of the given question based on the linear regression is , the predicted distance the person will travel after 10 hours of driving is approximately 252.05 miles.
What is Distance?Distance is measurement of length between the two points or objects. It is a scalar quantity that only has a magnitude and no direction. In mathematics, distance can be measured in various units such as meters, kilometers, miles, or feet, depending on the context.
Distance can be calculated using the distance formula, which is based on the Pythagorean theorem in two or three dimensions.
Assuming the equation you meant to write is y = 34.38x - 91.75, where y is the predicted distance traveled in miles and x is the number of hours driven, we can use this equation to predict how far the person will travel after 10 hours of driving:
y = 34.38x - 91.75
y = 34.38(10) - 91.75
y = 343.8 - 91.75
y = 252.05
Therefore, the predicted distance the person will travel after 10 hours of driving is approximately 252.05 miles.
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During 10 hours of driving, the projected distance according to linear regression is roughly 252.05 miles.
What is Distance?The term "distance" refers to the length between two points or objects. Having merely a magnitude and no direction, it is a scalar quantity. Depending on the situation, distance in mathematics can be expressed in a variety of ways, including meters, kilometers, miles, or feet.
The distance formula, which depends on the Pythagorean theorem in either two or three dimensions, can be used to compute distance.We may use this equation to forecast how far the individual would go after 10 hours of driving, assuming the equation you meant to write is
y = 34.38x - 91.75, where y is the expected distance travelled in miles and x is the number of hours driven:
y = 34.38x - 91.75
y = 34.38(10) - 91.75
y = 343.8 - 91.75
y = 252.05
The estimated distance that the driver will cover after 10 hours on the road is 252.05 miles.
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The complete question is,
The equation for linear regression is = 34.38x - 91.75. Calculate this person's estimated distance after 10 hours of driving using the equation: 4.38x-91-75.
Part C
Solve the equation for c, which is the length of line segment GH. If the number under the radical is not a perfect square, leave the answer as a
square root.
Answer:
Solve 6^2 + 5^2= c^2 for c
6^2 + 5^2= c^2
36 + 25= c^2
61= c^2
√61= c
value of c is √61
Step-by-step explanation:
edmentum answer
What is the value of p?
answer the question somebody
Answer:
[tex]\large\boxed{\tt m \angle p = 54.7^{\circ}}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked to find the value of p.}[/tex]
[tex]\textsf{Note that we are given \underline{Vertical Angles}, and a \underline{perpendicular} set of lines.}[/tex]
[tex]\large\underline{\textsf{What are Vertical Angles?}}[/tex]
[tex]\textsf{Vertical Angles are 2 angles that are opposite from each other, and share a}[/tex]
[tex]\textsf{common vertex point. (center point) Vertical Angles are congruent as they are}[/tex]
[tex]\textsf{formed by the same 2 intersecting lines.}[/tex]
[tex]\large\underline{\textsf{What are Perpendicular Lines?}}[/tex]
[tex]\textsf{Perpendicular Lines are 2 sets of lines that intersect each other with opposite}[/tex]
[tex]\textsf{reciprocal slopes. Perpendicular Lines form 4 right angles that are 90}^{\circ}.[/tex]
[tex]\large\underline{\textsf{Identifying Vertical Angles;}}[/tex]
[tex]\textsf{Remember that vertical angles are opposite from each other, and are congruent.}[/tex]
[tex]\textsf{We are given 1 measure of an angle, and this angle has a measure of 35.3}^{\circ}.[/tex]
[tex]\textsf{The angle opposite to it, (below angle p) is opposite from our angle.}[/tex]
[tex]\textsf{We have identified our vertical angle, now let's identify p.}[/tex]
[tex]\large\underline{\textsf{Identifying m} \tt \angle p;}[/tex]
[tex]\textsf{We should know that we are Perpendicular lines, and angle p is overlapped in one.}[/tex]
[tex]\textsf{This means that these angles are \underline{Complements}, angles that add up to 90}^{\circ}.[/tex]
[tex]\textsf{Because we know that the other angle inside the right angle is 35.3}^{\circ}, \ \textsf{we are}[/tex]
[tex]\textsf{able to set up an equation to find p.}[/tex]
[tex]\tt p = 90^{\circ} - 35.3^{\circ}[/tex]
[tex]\underline{\textsf{Evaluate;}}[/tex]
[tex]\large\boxed{\tt m \angle p = 54.7^{\circ}}[/tex]
when is welch's t-test used to compare two population means, and what distributional assumptions are needed?
Welch's t-test is a modified version of the t-test for independent means. Welch's t-test is an important statistical test that compares the mean of two groups that have different variances and is utilized when the assumptions of the t-test for independent means are violated.
However, unlike the standard t-test for independent means, Welch's t-test does not rely on the assumption that the variances of the two groups are equal. Instead, Welch's t-test relies on a more flexible assumption, that is, the assumption of unequal variances.
Welch's t-test's basic assumptions include the following:Independent samples: The sample sizes should be equal or almost equal in size. Normality: The two groups must have normally distributed populations. Even though Welch's t-test is more flexible than the standard t-test for independent means, the test is most accurate when the distributional assumptions are met.
It should be remembered that it is more conservative when the distributional assumptions are violated.
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exponents and powers
express the number 729 in exponential form
Step-by-step explanation:
729 = 9³ = (3²)³ = 3⁶
I hour that is what you needed.
76. cash to find work? (4.2) will cash bonuses speed the return to work of une,ployed people? the illinois department of employment security designed an expierment to find out. the subjects were 10,065
The experiment by the Illinois Department of Employment Security found that cash bonuses can be an effective way to incentivize unemployed people to return to work.
The experiment conducted by the Illinois Department of Employment Security provides evidence on whether cash bonuses can speed up unemployed people's return to work. The results of the experiment suggest that offering cash bonuses can be an effective way to incentivize people to find work.
Specifically, the experiment found that the group of individuals who were offered a $500 cash bonus for finding a job within 11 weeks and holding it for at least 4 months were more likely to find employment than the control group. Additionally, the group that could tell potential employers that the state would pay the employer $500 for hiring them also had a higher likelihood of finding work compared to the control group.
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The given question is incomplete, the complete question is:
The Illinois Department of Employment Security designed an experiment to find out. The subjects were 10,065 people aged 20 to 54 who were filing claims for unemployment insurance. Some were offered $500 if they found a job within 11 weeks and held for at least 4 months. Others could tell potential employers that the state would pay the employer$500 for hiring them. A control group got neither kind of bonus. Will cash bonuses speed unemployed people's return to work?
During a series of spins, a spinner landed on blue 7 times and on other colors 7 times. Considering this data, how many of the next 10 spins should you expect to land on blue?
Answer:
5
Step-by-step explanation:
Landing 7 times on blue and 7 times on other colors means it landed on blue half of the time.
I expect it will land on blue half of the next 10 spins.
Answer: 5
3 an anthropologist wishes to estimate the average height of men for a certain race of people. if the population standard deviation is assumed to be 2.5 inches and if she randomly samples 100 men, find the probability that the difference between the sample mean and the true population mean will not exceed .5 inch.
the probability that the difference between the sample mean and the true population mean will not exceed 0.5 inch is 0.9544
We can use the central limit theorem to approximate the distribution of the sample mean. Since the sample size is large (n=100), the sample mean follows approximately a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size (i.e., 2.5/sqrt(100) = 0.25).
Let X be the sample mean, then we want to find P(|X - μ| ≤ 0.5), where μ is the population mean.
Using the standard normal distribution, we can standardize X as follows:
Z = (X - μ) / (σ / sqrt(n)) = (X - μ) / 0.25
So we want to find P(|Z| ≤ 2), where Z follows a standard normal distribution.
Using a standard normal distribution table or calculator, we find that P(|Z| ≤ 2) = 0.9544.
Therefore, the probability that the difference between the sample mean and the true population mean will not exceed 0.5 inch is 0.9544
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F(x)=x2-x3-4 What is the axis of symmetry of the following equation?
The axis of symmetry of equation f(x) = x² - x³ - 4 is x = 2/3.
The axis of symmetry is a vertical line that passes through the vertex of a parabolic function, which is the highest or lowest point on the graph depending on the direction of the parabola. The equation f(x) = x² - x³ - 4 is a cubic function that can be written in standard form as:
f(x) = -x³ + x² - 4
To find the axis of symmetry, we need to first find the x-coordinate of the vertex. This can be done by taking the derivative of f(x) and setting it equal to zero:
f'(x) = -3x² + 2x = 0
x(2-3x) = 0
x = 0 or x = 2/3
Since the coefficient of the x³ term is negative, the vertex of the cubic function is a maximum. Therefore, the axis of symmetry is the vertical line passing through the x-coordinate of the vertex, which is x = 2/3.
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Becky bought a bag of dog food costing $8.42. If Becky received $1.53 in change, how much money did she give to the cashier?
Answer:9.95
Step-by-step explanation:
Answer: 9.95
Step-by-step explanation:
8.42 +1.53=9.95
GIVING BRAINLIEST FOR RIGHT ANSWER (provide proof please i need to know how you got the answer)
Answer:
x>7
Step-by-step explanation:
The circle is open so seven is not included which eliminates the second and fourth choice.
x<7 means x is less than seven which is wrong.
x> means x is greater than seven.
Answer:
x > 7
Step-by-step explanation:
We see that the arrow is going to the right, signaling greater than.
We know that it is not greater than or equal to, since the dot is not shaded.
So, the answer is x > 7.
Can you please show the steps on how to get this?
Answer:
The total volume of the space is 55,000 cm³
Step-by-step explanation:
First, figure out the length for each of the two prisms. The prism on the right has a length of 25 cm, so we can subtract that from 50 cm (the combined length of both prisms) to get 25 cm.
Next, figure out the volume of each area. For a rectangular prism, Volume = length · width · height. The left prism's volume is 30,000 cm³ (do 25 · 60 · 20) while the right prism's volume is 25,000 cm³ (do 25 · 25 · 40).
Lastly, add the volumes together to get the total volume, which is 55,000 cm³
Find the general solution of the following nonhomogeneous differential equation: y" (x) + 25 y (x) = 2 tan 5x Use C and D (both capital letters) for any arbitrary constants. y (x) = C sin (5x) + D cos (5x)-(2/25)ln(sec(5x)+tan(5x)) [Solution available after due date]
General solution = CF + PS= c₁ cos 5x + c₂ sin 5x - (2/25) tan 5x= C sin (5x) + D cos (5x) - (2/25) ln(sec(5x) + tan(5x)), where C = c₂ and D = c₁.
Explanation:
The general solution of the given non-homogeneous differential equation: y"(x) + 25y(x) = 2tan 5x isy (x) = C sin (5x) + D cos (5x) - (2/25) ln(sec(5x) + tan(5x)).
First of all, we need to find the complementary function(CF) of the differential equation to find the general solution.To find the complementary function (CF),
we set the non-homogeneous term to 0.y" (x) + 25y (x) = 0T
his is a homogeneous differential equation with the characteristic equation: r² + 25 = 0Solving this quadratic equation gives:r = ± 5i
Hence, the complementary function is given by:CF = c₁ cos 5x + c₂ sin 5xwhere c₁ and c₂ are constants of integration.
Now, we find the particular solution (PS) of the given non-homogeneous differential equation using the method of undetermined coefficients.
Given, y" (x) + 25 y (x) = 2 tan 5x
For PS, we assume that y = A tan 5x + B
where A and B are constants to be determined.Substituting this in the given equation, we get:10A sec² 5x + 25(A tan 5x + B) = 2 tan 5x
Simplifying this equation, we get:10A sec² 5x + 25A tan 5x + 25B = 2 tan 5x⇒ 10A sec² 5x + 23A tan 5x + 25B = 0
Comparing the coefficients of tan 5x and sec² 5x on both sides, we get:A = -2/25 and B = 0
Hence, the particular solution is given by:PS = - (2/25) tan 5xNow, the general solution of the given non-homogeneous differential equation is given by
:GS = CF + PS= c₁ cos 5x + c₂ sin 5x - (2/25) tan 5x= C sin (5x) + D cos (5x) - (2/25) ln(sec(5x) + tan(5x)), where C = c₂ and D = c₁.
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2 + 4.8 + -11.4 = ?
Answer:
23 but not
Step-by-step explanation:
3. a committee of 4 is to be selected from a group of 12 people. how many possible committees can be selected?
According to combinations formula there are 495 possible committees that can be selected from a group of 12 people.
To calculate this, you can use the formula for combinations
nCr = n!/(r!(n-r)!)
where n is the total number of people (12) and r is the number of people on the committee.
Therefore, the possible number of committees that can be selected is;
= {12!}/{4!8!}
= 12*11*10*9/4*3*2*1
= 11880/24
= 495
Therefore, 495 possible committees can be selected from a group of 12 people if a committee of 4 is to be selected.
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a jar contains 21 brown and 19 blue marbles. a marble is drawn at random. what is the theoretical probability of drawing a blue marble?
The theoretical probability of drawing a blue marble from a jar containing 21 brown and 19 blue marbles is 19/40, or 0.475.
To calculate this, divide the number of blue marbles by the total number of marbles in the jar. 19 divided by 40 equals 0.475, or 19/40. This means that there is a 47.5% chance of drawing a blue marble from the jar.
The probability of drawing a specific marble from the jar can be expressed using the formula P(A) = n(A)/n(T).
In this example, the probability P(A) is the chance of drawing a blue marble, n(A) is the number of blue marbles (19) and n(T) is the total number of marbles in the jar (40). Therefore, P(A) = 19/40 = 0.475.
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if n is the product of all multiples of 3 between 1 and 100, what is the greatest integer m for which is an integer?
The greatest integer m for which n is an integer is 40.
This is because the product of all multiples of 3 between 1 and 100 (n) is equal to the product of all integers from 3 to 99, which is equal to 3^39*2^20.
By using the prime factorization of n, we can see that the greatest integer m is equal to the sum of the exponents of the prime factors, which is 39 + 20 = 40.
To solve this problem, we must first factor n, which is the product of all multiples of 3 between 1 and 100. n can be expressed as a product of prime factors 3^39*2^20.
This can be further expressed as 3^39*2^20 = (3*2)^39*2^20 = 6^39*2^20. To find the greatest integer m for which n is an integer, we must add the exponents of the prime factors, which gives us 39 + 20 = 40. Therefore, the greatest integer m for which n is an integer is 40.
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An angle in standard position on a unit circle measures 2pi/5 radians. what are the exact coordinates of where the terminal side intersects the unit circle?
Thank you!
Answer:
(x, y) = (cos(2π/5), sin(2π/5)) = ((1/4)(-1 + √5), (1/4)(2√5 + 2))
Step-by-step explanation:
In standard position, the initial side of an angle lies on the positive x-axis, and the terminal side rotates counterclockwise from the initial side.
Since the angle measures 2π/5 radians, we need to find the point on the unit circle that is π/5 radians past the positive x-axis.
Let (x, y) be the coordinates of the point on the unit circle where the terminal side intersects. We can use the following trigonometric identities to find the values of x and y:
cos(2π/5) = x
sin(2π/5) = y
These values can be determined using either a calculator or the unit circle. Alternatively, we can use the fact that the angle 2π/5 is a special angle and can be expressed exactly in terms of square roots:
cos(2π/5) = (1/4)(-1 + √5)
sin(2π/5) = (1/4)(2√5 + 2)
Therefore, the exact coordinates of the point where the terminal side intersects the unit circle are
(x, y) = (cos(2π/5), sin(2π/5)) = ((1/4)(-1 + √5), (1/4)(2√5 + 2))
g suppose that you are an elementary school teacher and you are evaluating the reading levels of your students. you find an individual that reads 46.2 word per minute. you do some research and determine that the reading rates for their grade level are normally distributed with a mean of 85 words per minute and a standard deviation of 22 words per minute. a. at what percentile is the child's reading level (round final answer to one decimal place).
This shows that they read less frequently than 95.7% of their classmates in the same grade level.
what is percentile ?In statistics, a percentile is a metric that is used to express where one observation stands in relation to a larger group of data. It displays the proportion of data points that fall under a given value. For instance, if a student achieves a score in the 90th percentile on a standardised test, it signifies that they outperformed 90% of their peers who also took the test. As an alternative, if a child is taller than 25% of children their age and shorter than 75%, their height is in the 25th percentile for their age.
given
We must first compute the z-score using the following formula to determine the percentile of the child's reading proficiency.
z = (x - μ) / σ
where x represents the child's reading rate, represents the grade-level mean reading rate, and represents the standard deviation.
Inputting the values provided yields:
z = (46.2 - 85) / 22
z = -1.727
We can calculate or use a conventional normal distribution table to obtain the value of 0.0428 for the region to the left of z = -1.727. The child's reading rate is at the 4.28th percentile according to this statistic.
As a result, the child's reading proficiency is 4.3 percentile (rounded to one decimal place).
This shows that they read less frequently than 95.7% of their classmates in the same grade level.
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assuming that the population from which you select your sample is not normal, which of the statements about m are true? check all that apply.
1. m may be higher or lower than the population mean.
2. The value of m is not necessarily representative of the population mean.
3. The sampling distribution of m is not necessarily normal.
4. The mean, median, and mode of the sample may all be different.
Assuming that the population from which you select your sample is not normal, the following statements about m (the mean of the sample) are true:
1. m may be higher or lower than the population mean.
2. The value of m is not necessarily representative of the population mean.
3. The sampling distribution of m is not necessarily normal.
4. The mean, median, and mode of the sample may all be different.
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When a population is not normal, it means that the distribution of the data is not symmetric and has non-uniform spread.
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Write a quadratic function to represent the relationship shown in the table.
The quadratic function that represents the relationship in the given table is y =[tex]-2x^2 + 8x + 4,[/tex] which was verified by substituting the x-values from the table into the equation.
The quadratic function that represents the relationship in the given table is y [tex]= -2x^2 + 8x + 4.[/tex]To verify this, we can substitute the x-values from the table into the equation and compare the resulting y-values.
When x = 0, we get y =[tex]-2(0)^2 + 8(0) + 4 = 4[/tex], which matches the table.
When x = 1, we get y =[tex]-2(1)^2 + 8(1) + 4 = 4,[/tex] which matches the table.
When x = 2, we get y =[tex]-2(2)^2 + 8(2) + 4 = 2,[/tex] which matches the table.
When x = 3, we get y =[tex]-2(3)^2 + 8(3) + 4 = 4,[/tex] which matches the table.
When x = 4, we get y = [tex]-2(4)^2 + 8(4) + 4 = 6,[/tex] which matches the table.
Therefore, the quadratic function y =[tex]-2x^2 + 8x + 4[/tex]accurately represents the relationship in the given table.
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a random variable x is uniformly distributed between 45 and 150. what is the probability of xbegin mathsize 12px style less or equal than end style60?
The probability of x being exactly 48 when it is uniformly distributed between 45 and 150 is 1/105
Since x is uniformly distributed between 45 and 150, the probability of x taking any particular value in this range is the same. Let this probability be denoted by P(x).
To find P(x = 48), we need to first check if 48 lies within the range of values that x can take. In this case, 48 lies within the range of 45 and 150, so it is a possible value for x.
Since the distribution is uniform, the probability of x taking any particular value between 45 and 150 is given by
P(x) = 1 / (150 - 45) = 1 / 105
Therefore, the probability of x being exactly 48 is
P(x = 48) = 1 / 105
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The given question is incomplete, the complete question is:
A random variable x is uniformly distributed between 45 and 150. what is the probability of x = 48?
