Answer:
C
Step-by-step explanation:
Given
p + 15 = 4 ( isolate p by subtracting 15 from both sides )
p = - 11 → C
Answer:
p -11 + 15 = 4
cause a negative × positive equals to positive
If 15 people start a race, in how many different ways can the top 3 finishers be determined?
Hence, 15 people out of 3 people can be chosen in 35 ways.
Combinations:It is a method that helps us to determine the number of possible ways an item can be chosen given that the order of selection does not matter. Hence we are free to select the items in any order.Combinations are often confused with permutations. Permutations are the number of ways the given items can be arranged. Here the order is important.The formula for combinations:If we have 'n' items and we are required to choose 'r' items, the number of ways in which it can be done is calculated as:\(^{n}C_{r} }\) = \(\frac{n!}{(n-r)!r!}\)It is given that:
The total number of people in a race, n = 15
The number of finalists, r = 3.
Hence, the number of ways in which 3 people out of the 15 people can be finishers are:
\(^{15}C_{3} }\) = \(\frac{15!}{(15-3)!3!}\) = \(\frac{15!}{12!3!}\) = 35.
Hence, 15 people out of 3 people can be chosen in 35 ways.
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A community group sells 2,000 tickets for its raffle. The grand prize is a car. Neil and 9 of his friends buy 10 tickets each. When the winning ticket number is announced, it is found to belong to Neil's group. Given this information, what is the probability that the ticket belongs to Neil?
Answer:
1/10 if its is in the group
Step-by-step explanation:
but if its as the whole thing it would be 1/200 because he has 10 and 10 of 2000 is 1/200
The probability that the winning ticket belongs to Neil is 5%.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
There are a total of 2,000 tickets, and Neil and his 9 friends bought 10 tickets each, so they bought a total of 100 tickets (10 tickets/person x 10 people = 100 tickets).
The probability of Neil's group winning the car is equal to the number of tickets they bought divided by the total number of tickets sold:
Probability = Number of tickets bought by Neil's group / Total number of tickets sold
Probability = 100 / 2000
Probability = 0.05 or 5%
Therefore, the probability that the winning ticket belongs to Neil is 5%.
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Laila made 12 muffins. Shannon made 10 muffins how many more did Laila make?
Answer:
2 more muffins
Step-by-step explanation:
Since,
Given that:
Laila made 12 Muffins
Shannon made 10 Muffins
Question to Answer:
How many more did Laila make?
Solve:
Since it asking how many more laila made that means we have to subtract to find how many more laila has.
As given, we know that Laila made 12 Muffins and Shannon made 10 Muffins then:
Laila Muffins - Shannon Muffins
Which also means:
12 - 10
Which,
12 - 10 = 2
Hence, Laila makes 2 more Muffins than Shannon
Kavinsky
Write a linear equation given the two points: (-3, -9) and (4, -2)
Find the area of hexagon DEFGHI.
Step-by-step explanation:
Break it up into two trapezoids as shown
area = trap1 + trap2
= 2 * (7+3) / 2 + 3 * ( 7 + 3) / 2 = 10 + 15 = 25 units^2
what is the answer to the inequality 3t + 9 ≥ 15
Answer:
t ≥ 2
Step-by-step explanation:
3t + 9 ≥ 15
3t ≥ 6
t ≥ 2
I hope this helped!
Can someone help me pls
Answer:
x ≈ 16.6 units
Step-by-step explanation:
The angle between a tangent and the radius at the point of contact is 90° , so
Δ ABC is a right triangle at ∠ B
Using Pythagoras' identity in the right triangle
x² + 7² = 18²
x² + 49 = 324 ( subtract 49 from both sides )
x² = 275 ( take the square root of both sides )
x = \(\sqrt{275}\) ≈ 16.6 ( to the nearest tenth )
To join a new fitness center, there is a $40 initiation fee. It costs an additional $10 for every spinning class you attend. What is the average cost per class if you take 10 classes in the first month of joining the fitness center
the average cost per class is $14.
Think of this as an algebraic equation, which would be expressed as 40+10s=total cost
The (s) would be the number of spinning classes you decide to take.
Therefore to find the average cost of the class, you would plug in 10 classes for s.
This brings the total cost to $140 dollars.
To find the average you must divide this cost by the number of classes you took.
This will be the price per class, which is $14.
Statement of the equality of two expressions formulated by way of making use of a set of variables the algebraic operations, particularly, addition, subtraction, multiplication, department, elevating to energy, and extraction of a root.
In arithmetic, an algebraic equation or polynomial equation is an equation of the form P=0 where P is a polynomial with coefficients in some area, regularly the field of rational numbers.
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find the slope and Y intercept for each equation y=2x -4
slope = ( -2)
Y intercept = 10
Please help and show work only do the left side
Writing linear equations given two points can be a useful skill when graphing linear equations.
Write a linear equation that passes through the given two points?To write a linear equation given two points, you need to first find the slope of the line. You can do this by finding the change in the y-value and dividing it by the change in the x-value. From there, you can use the slope to solve for the y-intercept and write the equation.For example, if the two points are (3, 4) and (0,5), you would find the slope by calculating the change in the y-value (5-4 = 1) and dividing it by the change in the x-value (0-3 = -3).The slope would then be 1/-3, which can be simplified to -1/3. To solve for the y-intercept, you can plug in one of the points and solve for b. In this case, you would plug in (3, 4) and solve for b, giving you b = 5. Now that you have the slope and y-intercept, you can write the equation as y = -1/3x + 5.y = -1/2xy = 5/3x + 5/3y = 3/5x + 1y = -1/2x - 2y = 6/5x + 5y = -4/4x - 8y = -3/5x - 7/5y = -2x - 4y = 5/6x + 7y = -1/2x + 4To learn more about linear equation refer to:
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Standardized tests for certain subjects, given to high school students, are scored on a scale of 1 to 5. Let X represent the score on a randomly selected exam. The distribution of scores for one subject’s standardized test is given in the table.
A 2-column table with 5 rows. Column 1 is labeled score with entries 1, 2, 3, 4, 5. Column 2 is labeled probability with entries 0.18, 0.20, 0.26, 0.21, 0.15.
What is the mean of the distribution?
2.5
2.95
3
3.5
Answer:
The center for the distribution of scores appears to be higher for subject B than for subject A.
The mean of the distribution when X represent the score on a randomly selected exam so here the mean be like 2.95.
Calculation of the mean:Since
Column 1 is labeled score with entries 1, 2, 3, 4, 5.
Column 2 is labeled probability with entries 0.18, 0.20, 0.26, 0.21, 0.15.
So it be like
= (0.18) (1) + (0.20) (2) + (0.26) (3) + (0.21) (4) + (0.15) (5)
= 0.18 + 0.40 + 0.78 + 0.84 + 0.75
= 2.95
Hence, the third option is correct.
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What would x equal for the missing side
Why isn’t x squared subtract 81 the same as x squared plus 81
Answer:
Step-by-step explanation:
0
Wonderful widgets inc. has developed electronic devices which work properly with probability 0.95, independently of each other. the new devices are shipped out in boxes containing 400 each.
1. What percentage of boxes contains 390 or more working devices?
The problem involves calculating the probability of having 390 or more working devices in a box of 400 electronic devices, where each device works properly with a probability of 0.95. This type of problem can be solved using the binomial distribution.
The binomial distribution models the number of successful outcomes in a fixed number of independent Bernoulli trials. In this case, each device working properly can be considered as a Bernoulli trial with success probability 0.95. The total number of trials (i.e. devices) is 400.
Using the binomial distribution, we can calculate the probability of having exactly k successful outcomes (i.e. working devices) in n trials (i.e. devices). This probability is given by the formula:
P(k) = (\({n}_C_{k}\)) * p^k * (1-p)^(n-k)
where (n choose k) is the binomial coefficient, p is the success probability, and (1-p) is the failure probability.
To calculate the probability of having 390 or more working devices, we need to sum the probabilities of having 390, 391, 392, ..., 400 working devices:
P(390 or more) = P(390) + P(391) + ... + P(400)
This can be calculated using a binomial distribution calculator or by writing a program to calculate the binomial coefficient and probability for each value of k.
Finally, to express the result as a percentage, we need to multiply the probability by 100.
In conclusion, the percentage of boxes containing 390 or more working devices can be calculated using the binomial distribution, which models the number of successful outcomes in a fixed number of independent Bernoulli trials.
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Which describes all possible values of f(x) in the function f(x) = √x/2? All real numbers all real numbers except for 0 all positive real numbers and 0 all negative real numbers and 0
Answer:
all positive real numbers and 0
Step-by-step explanation:
The function has a square root in the x value, so this function can't have negative values, because a negative value of x would give a complex number for f(x), and positive values of x gives positive values of f(x).
The function f(x) can be zero, if the value of x is zero:
\(f(0) = \sqrt{0} /2 = 0/2 = 0\)
So the function f(x) can only have positive values and the value 0.
Correct option: "all positive real numbers and 0"
Find x and y. Need answer ASAP!!!
Answer:
x = 16, y = 23
Step-by-step explanation:
Consider angles related to the parallel lines and the left transversal
4x + 4 and 7x - 44 are alternate exterior angles and congruent , thus
7x - 44 = 4x + 4 ( subtract 4x from both sides )
3x - 44 = 4 ( add 44 to both sides )
3x = 48 ( divide both sides by 3 )
x = 16
----------------------------------------------------------
Consider angles related to the parallel lines and the right transversal
39 and 8y - 43 are same- side exterior angles and supplementary, thus
39 + 8y - 43 = 180 , that is
8y - 4 = 180 ( add 4 to both sides )
8y = 184 ( divide both sides by 8 )
y = 23
(06.04 mc)
jake tossed a paper cup 50 times and recorded how it landed. the table shows the results
position
open side up closed side up landing on side
number of times landed in position
1
5
44
based on the table, determine the experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side). show your work.
Based on the given data, the experimental probability of landing open side up is 0.1, landing closed side up is 0.88, and landing on its side is 0.02.
To determine the experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side), we need to calculate the ratio of the number of times the cup landed in each position to the total number of tosses.
Let's calculate the experimental probability for each outcome based on the given table:
1. Landing open side up:
The cup landed open side up 5 times out of 50 tosses.
Experimental Probability = Number of times landed open side up / Total number of tosses
Experimental Probability = 5 / 50
Experimental Probability = 0.1
2. Landing closed side up:
The cup landed closed side up 44 times out of 50 tosses.
Experimental Probability = Number of times landed closed side up / Total number of tosses
Experimental Probability = 44 / 50
Experimental Probability = 0.88
3. Landing on its side:
The cup landed on its side 1 time out of 50 tosses.
Experimental Probability = Number of times landed on its side / Total number of tosses
Experimental Probability = 1 / 50
Experimental Probability = 0.02
Based on the given data, the experimental probability of landing open side up is 0.1, landing closed side up is 0.88, and landing on its side is 0.02. These probabilities indicate the likelihood of each outcome occurring in a toss.
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HELP ASAP PLZ
Write the next three terms of the arithmetic sequence.
-12, 0, 12, 24, _, _, _
Write the next three terms of the arithmetic sequence.
0.2, 0.6, 1, 0.4, __, __,__
Write the next three terms of the arithmetic sequence.
4, 3 3/4, 3 1/2, 3 1/4 ,__, __, __
Answer:
the next three for the first one are 36 48 60
i have no idea what i am doing.
I will give brainiest to the correct answer
20 points
Answer:
Approximately 619.42
Step-by-step explanation:
The formula for finding the volume of a cone is V=1/3hπr². (R is the radius and h is the height.
let h be a subgroup of g. and suppose h is the only subgroup of g of order(h). show that h is normal in g
To prove that h be a subgroup of g. and suppose h is the only subgroup of g of order(h) h is normal in g is that it is proven by homomorphism .
This is a small contribution, however in reaction to a remark above, you may additionally clear up this with out the use of any homomorphism properties. Assume the subgroup H has order n and select out g∈g. Then, for any \(h∈H: = (ghg^-1)^n ghg^-1.ghg^1/n time.\\= gh^n g^-1 = geg ^-1 = geg ^-1 = gg ^-1 = e\)
Since H has order n. The above holds for all h∈H, so the subgroup gHg−1 has order n, so it's miles identical to H through assumption. Then each h∈H has a few h∈H such that ghg−1=h′, implying gh=h′g, so gH=H
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solve the following proportioning problem: given: relative density of sand is 2.65, absolute volume of sand is 10 ft^3. find: weight of sand
The weight of sand is 26.5 ft³, calculated by dividing the relative density of 2.65 by the absolute volume of 10 ft³. The weight of sand is not directly determined as its density is given in relative density.
Given: The relative density of sand is 2.65 and absolute volume of sand is 10 ft³To Find: The weight of sand
Given, relative density of sand = 2.65
Absolute volume of sand = 10 ft³
The density of the material is given by Density = Mass/Volume
Thus Mass = Density x Volume= 2.65 x 10= 26.5 ft³
Therefore, the weight of sand is equal to the mass of sand which is 26.5 ft³.The weight of sand is 26.5 ft³.Note: As the Density of sand is given in relative density, so we cannot directly determine the weight of sand.
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30 points please help only serious ppl i BEG YOU
Write an inequality that represents the graph.
Answer:
ok let me slide
Step-by-step explanation:
Answer:y=3 x=1 + 4
Step-by-step explanation:
Shot in the dark honestly
f(x) = 3x for x = –4
Answer:
Step-by-step explanation:
f(x)=3x+x^4. f(x)=3x+x4 f ( x ) = 3 x + x 4.
Please answer this question when you have the chance. (35 Points)
Answer:
there is no exponent
Step-by-step explanation:
Answer: Answer choice C
Step-by-step explanation: the coefficients might be whole numbers but that doesn't matter, what matters is that the base has the same variable letter like (x) and the same exponent. For example 2149419493x would be like terms with 3x but 6x would NOT be like terms with 2x².
Hope this helps, GL on the test!
1. IF HEIGHTS OF FEMALE COLLEGE STUDENTS ARE NORMALLY DISTRIBUTED WITH A MEAN OF 64 INCHES AND A STANDARD DEVIATION OF 10 INCHES, WHAT IS THE PROBABILITY OF RANDOMLY SELECTING A FEMALE COLLEGE STUDENT WITH A HEIGHT LESS THAN 63 INCHES.
2. WHAT IS THE PROBABILITY OF RANDOMLY SELECTING A FEMALE COLLEGE STUDENT WITH A HEIGHT BETWEEN 61 AND 69 INCHES?
3. WHAT IS THE PROBABILITY OF FINDING AN AVERAGE OF GREATER THAN 65 INCHES WITH A SAMPLE OF 35 FEMALE COLLEGE STUDENTS?
a)0.1587 (or 15.87%)
b)0.6827 (or 68.27%)
c)0.0228 (or 2.28%)
1. Using the Normal Distribution formula with a mean (μ) of 64 inches and standard deviation (σ) of 10 inches, the probability of randomly selecting a female college student with a height less than 63 inches is 0.1587 (or 15.87%).
2. Using the Normal Distribution formula with a mean (μ) of 64 inches and standard deviation (σ) of 10 inches, the probability of randomly selecting a female college student with a height between 61 and 69 inches is 0.6827 (or 68.27%).
3. Using the Central Limit Theorem, the probability of finding an average of greater than 65 inches with a sample of 35 female college students is 0.0228 (or 2.28%).
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Find the solution of x.
Answer:
c. 29°
Step-by-step explanation:
The measure of the inscribed angle x is half the measure of subtended arc BC.
x = 58°/2 = 29°
luca made a scale drawing of the auditorium. in real life, the stage is 45 feet long. it is 18 inches long in the drawing. what is the scale of the drawing? 2 inches : feet
The scale of the drawing is 1 inch represents 30 feet. This can be found by setting up a proportion:
18 inches (length of stage in drawing) / x (length of stage in real life) = 2 inches (length in drawing) / 45 feet (length in real life)
Simplifying this proportion gives:
x = 18 × 45 / 2 = 405
Therefore, the length of the stage in real life is 405 feet. To find the scale, we can set up another proportion:
1 inch (length in drawing) / x (length in real life) = 2 inches (length in drawing) / 60 feet (length in real life)
Simplifying this proportion gives:
x = 1 × 60 / 2 = 30
Therefore, the scale of the drawing is 1 inch represents 30 feet.
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Pls pls pls help me I’m giving brainlest
Answer: i think a
Step-by-step explanation:
a sampling procedure that assures each element in the population of an equal chance of being included in the sample is called .
Simple random sampling is the sampling procedure that assures each element in the population of an equal chance of being included in the sample.
What is Simple random Sampling?Simple random sampling is a type of probability sampling in which the researcher randomly selects a subset of participants from a population. Each member of the population has an equal chance of being selected. Data is then collected from as large a percentage as possible of this random subset.
Random sampling ensures that results obtained from your sample should approximate what would have been obtained if the entire population had been measured . The simplest random sample allows all the units in the population to have an equal chance of being selected.
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1. The reaction time (in seconds) for a certain stimulus is a continuous random variable with pdf: (20 pts) 3/2 * 1/x2 for 1
The given problem describes the probability density function (pdf) for the reaction time of a certain stimulus.
The pdf 3/2 * 1/x^2 represents the probability density function for the reaction time of the stimulus. The variable x represents the reaction time in seconds, and the pdf provides the relative likelihood of different reaction times occurring. The function is defined for reaction times greater than 1, as indicated by the condition 1 < x < infinity.
The term 3/2 * 1/x^2 represents the scaling factor and probability density at each point x. As x increases, the probability density decreases, indicating that longer reaction times are less likely to occur. The pdf ensures that the total area under the curve is equal to 1, representing the probability of observing any reaction time within the given range.
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