Therefore, the probability that among the students in the sample exactly four are male is 0.2508. So, the correct option is (c) 0.2508.
Given that the student body of a large university consists of 60% female students. A random sample of 9 students is selected. We need to find the probability that among the students in the sample exactly four are male. Here, n = 9, probability of success = 0.4, probability of failure = 0.6We can find the probability by using the formula, P(X = x) = nCx * p^x * q^(n - x)Where, P(X = x) = Probability of exactly x successes in n trials p = probability of success q = probability of failure n Cx = n! / x!(n - x)! Hence, the required probability is given by, P(4 males out of 9) = 9C4 * (0.4)^4 * (0.6)^5= 126 * 0.0256 * 0.07776= 0.2508
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Explanation of how we can make (a) subject
Answer:
Step-by-step explanation:
describe and explain the difference between the mean, median, and mode. choose the correct answer below
Answer: Mean is the value obtained by dividing the sum of several quantities by their number; an average. Denoting the middle term of a series arranged in order of magnitude. The value which occurs most frequently in a set of data is known as the mode of the set of data.
Step-by-step explanation:
according to the central limit theorem, when n=9, the variance of the distribution of means is:
According to the central limit theorem, when n=9, the variance of the distribution of means is equal to the population variance divided by the sample size.
Let σ^2 be the population variance. Then, the variance of the distribution of means (also known as the standard error) is σ^2/n.
The central limit theorem states that as the sample size increases, the distribution of sample means approaches a normal distribution with mean μ and variance σ^2/n, where μ is the population mean. Therefore, when n=9, the variance of the distribution of means is σ^2/9.
In summary, when n=9, the variance of the distribution of means is equal to the population variance divided by the sample size, which is σ^2/9.
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which analysis technique simulates a model's outcome many times to provide a statistical distribution of the calculated results?
The answer is that the Monte Carlo analysis simulates a model’s outcome many times to provide a statistical distribution of the calculated results.
Now, what is Monte Carlo analysis technique?
Monte Carlo Analysis is a risk management technique used to conduct a quantitative analysis of risks.
This mathematical technique is used to analyze the impact of risks on your project — in other words, if this risk occurs, how will it affect the schedule or the cost of the project?
So, Monte Carlo Analysis gives you a range of possible outcomes and probabilities to allow you to consider the likelihood of different scenarios.
For example, let’s say you don’t know how long your project will take. You have a rough estimate of the duration of each project task. Using this, you develop a best-case scenario (optimistic) and worst-case scenario (pessimistic) duration for each task.
You can then use Monte Carlo to analyze all the potential combinations and give you probabilities of when the project will complete.
Other major benefits of this technique is -
1. It Provides early indication of how likely you are to meet project targets.
2. Can be used to create a more real budget and schedule.
3. Predicts the likelihood of schedule .
4. Gives quantitative measure of risks to assess impacts
5. Provides objective data for decision making.
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i need help with question 16 and 17
Answer:
16 is definitely a
17 is c
Step-by-step explanation:
an app that I use that helps a lot is desmos u should try it out
hope this helps :)
can i get brainliest?
This is a Bodmas question 2+4×6÷3give me answer with correct explanation I will mark you as brainliest
Answer:
Bodmas in full is Bracket Of Division
Bracket Of Division Multiplication Addition and Subtraction
\(2 + 4 \times 6 \div 3\)
\(2 \div 3 \times 6 + 4\)
\(0.66666 \times 6 + 4\)
\(4 + 4\)
\( = 8\)
hope that helps you
How do you do this? I am really confused.
Answer:
B. Hope this helps
Step-by-step explanation:
Answer:
B) both shapes have all angles of equal measure
Step-by-step explanation:
Squares and equilateral triangles have all angles of equivalent measure. Squares have 90 degrees on all 4 sides and equilateral triangles have 69 degrees on all 3 sides
PLS ANSWER !! QUICKLY !!
Answer:
Step-by-step explanation:
A). In this case, the five-number summary of the data set would be:
Minimum: 16
Q1 (also known as the lower quartile): 22
Median: 25
Q3 (also known as the upper quartile): 43
Maximum: 50
B.) are those the only two box plots listed?
Suppose a company wants to introduce a new machine that will produce a marginal annual savings in dollars given by S '(x)= 175 - x^2, where x is the number of years of operation of the machine, while producing marginal annual costs in dollars of C'(x) = x^2 +11x. a. To maximize its net savings, for how many years should the company use this new machine? b. What are the net savings during the first year of use of the machine? c. What are the net savings over the period determined in part a?
a) To maximize its net savings, the company should use the new machine for 7 years. b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar). c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).
Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.
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solve the equation below for x. 5x- 2 = -7 What is x=_____
Answer:
x = -1
Step-by-step explanation:
Start with adding 2 to -7
-7 + 2
=-5
Then divide by 5
-5/5
=-1
please answer this question correctly
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The required division equation will be :
\( \boxed{dividend = divisor \times quotient + remainder}\)\(52556 = 137 \times 383 + 85\)What is an equation of the line that passes through the point (-4,8)(−4,8) and is parallel to the line x+y=6x+y=6?
The equation of the line that passes through the point; (-4, 8) and is parallel to x + y = 6 is; x + y = 4.
What is the equation of the line that passes through the given point and is parallel to the given line?By expressing the given linear equation in slope-intercept form; it follows that we have;
x + y = 6
y = -x + 6
Hence, the slope of the equation by comparison with; y = mx + c is; -1.
Therefore, the slope of the required equation is same as the two lines are said to be parallel.
Therefore, the required equation from point-slope form of an equation is;
( y - 8) = -1 ( x - (-4))
y - 8 = -x - 4
x + y = -4 +8
x + y = 4.
Ultimately, the required equation is; x + y = 4.
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i need the answer to this simplifying radicals
Answer:
9√6
Step-by-step explanation:
3√2 × 3√3
3√2×3 ×3
3√6×3
9√6
HELP ME ASAP I NEED HELP
Answer:
distance = 7.07 units
Step-by-step explanation:
x difference = 7
y difference = -1
using the Pythagorean theorem:
7² + -1² = d²
d² = 49 + 1 = 50
d = 7.07
Answer:
7.1
Step-by-step explanation:
distance between the x is 7 and y is 1
And to find the hypotenuse, you use the quadratic formula, 7^2 + 1^2 = c^2
c=50
and take the square root, which is 7.071, rounds to 7.1
calculate the coefficient of variation for a sample of cereal boxes with a mean weight of 340 grams and a standard deviation of 5.2 grams.? 0.15% A
1.53% B
15.29% C
0.65% D
The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.
In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.
CV = (Standard Deviation / Mean) * 100
CV = (5.2 / 340) * 100
CV ≈ 1.53%
Therefore, the correct answer is option B: 1.53%.
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Sherry was helping her father build a roof on their back porch. When they were almost finished, they realized that the corner of the roof was hot at a right angle like the plywood they were using.
The roof extended past the top of the wood at a 150 angle,
What would be the measure of
A. 24
B. 66
C. 78
D. 156
Answer:
Use SohCahToa to get the answer
It takes a machine at a seafood company 20 s to clean 3 1 ib of shrimp _ 3
It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second
What is an equation?An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. Hence:
Rate of the machine = 3 pounds / 20 seconds = 0.15 pound per second
It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second
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Find the magnitude and direction of 1/2r
Answer:
C
Step-by-step explanation:
0.9 meters. 170 degrees
Answer:
C. 0.9 meters, 170°
Step-by-step explanation:
Edg 2021
If 70 increased to 100 by what percent did it increase?
Answer:
I'm pretty sure it's 30 but I'm not 100% sure.
Answer:
30%
Step-by-step explanation:
70+30=100!
The hand and foot are structurally similar, describe the structural features of the foot that are clearly related to its weight bearing and locomotora functions.
Some structural features of the foot that are clearly related to its weight-bearing and locomotor functions include the following:
1. Bones of the foot:The human foot has 26 bones that are divided into three parts: the hindfoot, midfoot, and forefoot. The hindfoot has the heel bone and ankle bones, which support the weight of the body. The midfoot has five metatarsal bones that provide the foot with support.
2. Arch:The arch of the foot acts as a shock absorber. The human foot has two arches: the longitudinal arch and the transverse arch. The longitudinal arch runs from the heel bone to the ball of the foot, while the transverse arch runs from side to side.
3. Ligaments and Tendons:The foot's ligaments and tendons provide support and stability to the joints and bones. The plantar fascia, a thick band of tissue, provides support to the foot's arch. The Achilles tendon connects the calf muscle to the heel bone and helps in walking, running, and jumping.
4. Muscles:The foot has intrinsic and extrinsic muscles. Intrinsic muscles are responsible for fine movements of the toes and feet. Extrinsic muscles are responsible for moving the ankle and foot.
5. Skin and Nails:The foot's skin and nails protect the underlying structures. The nails help with gripping and manipulating objects.
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2/3y + x =4 Solve for y
Answer:
y = -3x + 12/2
Step-by-step explanation:
Step 1: Add -x to both sides
x + 2/3 + -x = 4 + -x
2/3y = -x + 4
Step 2: Divide both sides by 2/3
2/3y ÷ 2/3 = -x + 4 ÷ 2/3
y = -3x + 12/2
Worth 100 points plssss help
Find scale factor
QR=9unitsQ'R'=3unitsScale factor:-
k=3/9k=1/3Yes Option A is correct
Answer:
A. The edge lengths of the smaller figure are less than half those of the large figure.
\(\sf Scale\:factor=\dfrac13\)
Step-by-step explanation:
From inspection of the graph, the pre-image is QRST and the dilated image is Q'R'S'T'.
We can see that Q'R'S'T' is a reduction of QRST since it is smaller.
Inspect the length of the corresponding line segments of both images and compare.
T'S' = 3 units
TS = 9 units
\(\sf \dfrac{T'S'}{TS}=\dfrac{3}{9}=\dfrac13\)
Therefore, T'S' is \(\sf \frac13\) the length of TS.
As \(\sf \frac13 < \frac12\), the edge lengths of the smaller figure are less than half those of the large figure (answer option A)
The scale factor is the amount we have to multiply the sides of QRST by to get Q'R'S'T'. Therefore, the scale factor for the side lengths in this dilation is \(\sf \frac13\)
Elijah drew a scale drawing of a swimming pool.
The scale of the drawing was
1 centimeter: 3 meters. The pool is 10
centimeters long in the drawing. How long is the
actual pool?
Answer:
30 meters
Step-by-step explanation:
when converting from scale to actual drawing:
find a way of removing the cm by
10cm × (3m/1cm)
look the cm cancels out
10×3m=30m
Which point represents the approximate location of V240?
point A
point B
point c
point D
Answer:
B
Step-by-step explanation:
how many feet? help me please
Answer:
\(\fbox {400.41 feet}\)
Step-by-step explanation:
Here we need to take the tan ratio of the angle.
⇒ tan 4° = 28/x = 0.0699268119
⇒ x = 28/0.0699268119
⇒ x = 400.41 feet
HELP IMMEDIATELY PLEASE
use the couple of lines for #4
Answer:
#2 Alternate interior angles: 4 & 5 and 3 and 6
#4 :
m∠6 = 55°
m∠3 = 55°
m∠1 = 125°
Reasons: See below
Step-by-step explanation:
Angles 6 and 8 are supplementary angles since they are on the same straight line intersected by another straight line.
So m∠6 + m∠8 = 180
m∠6 + 125 = 180
m∠6 = 180-125= 55°
Angles 3 and 6 are alternate interior angles and equal to each other
m∠3 = m∠6 = 55°
Angles 1 and 3 are supplementary angles whose sum of measures should add up to 180°
m∠1 + m∠3 = 180
m∠1 + 55 = 180
m∠1 = 180-55 = 125°
Our backyard pool holds 10,000 gallons. Its average depth is 4 feet deep and it is 10 feet long. If there are 7.48 gallons in a cubic foot, how wide is the pool?
Step-by-step explanation:
The pool is 10 feet long and 4 feet deep. This means the pool has a volume of 40 cubic feet (10 feet x 4 feet x 1 foot). To calculate the width of the pool, divide the total volume (40) by the length (10) to get 4 feet. Therefore, the width of the pool is 4 feet.
Write the transformation function for the following tranformation. Black is pre image
T<_____>(x,y)
Answer:
See the attached worksheet
Step-by-step explanation:
The function is transformed by subtracting 3 from both the x and y values. I'm uncertain how this is expressed in a functional form.
The underlying statistical distribution for the x-bar chart is the.
The x-bar chart relies on the Normal Distribution due to the Central Limit Theorem, which states that the distribution of sample means will approach a normal distribution as the number of samples increases.
1. An x-bar chart is a type of control chart used to monitor the process mean of a continuous data set. It helps to determine whether a process is stable and under control.
2. The x-bar chart is based on the concept of sampling. In a process, multiple samples are taken, and their means (x-bar) are calculated.
3. According to the Central Limit Theorem, when a large number of samples are taken from a population, the distribution of the sample means will approach a normal distribution, regardless of the population's original distribution.
4. This is why the underlying statistical distribution for the x-bar chart is the Normal Distribution. The x-bar chart assumes that the sample means follow a normal distribution, allowing for the identification of process changes, shifts, or trends by monitoring the control limits and variation in the x-bar chart.
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Which percent accurately reflect the white section in the circle?
A. 38%
B. 48%
C. 62%
D. 68%
The percent that accurately reflects the white section in the circle is 38%. So, the correct option is A).
To find the percentage of the circle that is white, we need to divide the area of the white region by the area of the entire circle and multiply by 100.
Looking at the diagram, we can see that the white region takes up about 3/8 of the circle, or 37.5% (since 3/8 is equal to 0.375 or 37.5%). This is closest to answer choice A, which is 38%.
Therefore, the percent that accurately reflects the white section in the circle is 38%.
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