Using the normal distribution, it is found that the prediction is that the largest number of people would receive an IQ score of 100 on that test.
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.IQ scores have mean of 100, and since in the normal distribution most measures are around the mean, an IQ score of 100 is the prediction.
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PLEASE HELP WITH THIS QUESTION, ILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
35-original drill set price
25% or .25-the additional price
markup in decimal form- 0.25
markup in percent form- 25%
Equation-35 + 25% or 0.25
35 + 25% = 43.75
The general law of addition for probabilities says P(A or B) = P(A) P(B). A - True. B - False.
The statement "P(A or B) = P(A) + P(B)" is False.
The correct statement is "P(A or B) = P(A) + P(B) - P(A and B)," which is known as the general law of addition for probabilities. This law takes into account the possibility of events A and B overlapping or occurring together.
The general law of addition for probabilities states that the probability of either event A or event B occurring is equal to the sum of their individual probabilities minus the probability of both events occurring simultaneously. This adjustment is necessary to avoid double-counting the probability of the intersection.
Let's consider a simple example. Suppose we have two events: A represents the probability of flipping a coin and getting heads, and B represents the probability of rolling a die and getting a 6. The probability of getting heads on a fair coin is 0.5 (P(A) = 0.5), and the probability of rolling a 6 on a fair die is 1/6 (P(B) = 1/6). If we assume that these events are independent, meaning the outcome of one does not affect the outcome of the other, then the probability of getting heads or rolling a 6 would be P(A or B) = P(A) + P(B) - P(A and B) = 0.5 + 1/6 - 0 = 7/12.
In summary, the general law of addition for probabilities states that when calculating the probability of two events occurring together or separately, we must account for the possibility of both events happening simultaneously by subtracting the probability of their intersection from the sum of their individual probabilities.
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I've been trying to figure this out for the longest!!!.
Question 11
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Simplify the expression x^1/5 • x^5/2 Assume x > 0.
A) The answer can be written in the form x^a where
the exponent a is: Note: enter the exponent as a reduced fraction or integer.
B) The answer can be written in the form 1/x^b where the exponent b is:
Note: enter the exponent as a reduced fraction or integer.
Answer:
A. x^27/10
B. 1/x^-27/10
Step-by-step explanation:
Mathematically, if we have the same base, we simply add up the index
Thus, we have that;
x^1/5•x^5/2 = x^(1/5 + 5/2) = x^(2 + 25)/10 = x^27/10
A) In the first form, we have that;
x^27/10
a = 27/10
B) We simply negate what we have above in terms of the index according to the indices law below;
a^b = 1/a^-b
Hence, we have that;
1/x^-27/10
What is your estimated project completion time?
Please show work.
\begin{tabular}{|l|l|l|l|l|} \hline Activity & a & m & b & Immediate Predecessor \\ \hline A & 1 & 2 & 3 & \( \cdots \) \\ \hline B & 2 & 3 & 4 & \( \cdots \) \\ \hline C & 4 & 5 & 6 & A \\ \hline D &
To find the estimated project completion time for the given project activities, we need to first calculate the earliest start and earliest finish times and then the latest start and latest finish times.
Using the activity times given, we can calculate the earliest start and earliest finish times for each activity as follows: Activity A: Earliest start time = 0
Earliest finish time = 1
Activity B: Earliest start time = 2
Earliest finish time = 5
Activity C: Earliest start time = 5
Earliest finish time = 11
Activity D: Earliest start time = 11
Earliest finish time = 17
Activity E: Earliest start time = 5
Earliest finish time = 8 Activity F:
Earliest start time = 8
Earliest finish time = 17
Now we can calculate the latest start and latest finish times for each activity using the backward pass.
Latest finish time = 5
Latest start time = 2
Activity A: Latest finish time = 1
Latest start time = 0
Now we can calculate the slack time for each activity as follows:Activity A:
Slack time = 0
Activity B: Slack time = 0
Activity C: Slack time = 0
Activity D: Slack time = 0
Activity E: Slack time = 3
Activity F: Slack time = 0
The critical path for this project is A -> C -> D, since these activities have zero slack time. Therefore, the estimated project completion time is 17 units of time.
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can someone pleaseeee help me with this i need it done
The domain is -∝ < x < ∝, the range is g(x) > 0, and the asymptote is g(x) = 0
How to plot the graph?The exponential equation is given as:
g(x) = 3^(x+2)
Next, we plot the graph using a graphing calculator
See attachment for the graph of the function g(x) = 3^(x+2)
The function can take any value of x.
So, the domain is -∝ < x < ∝
Also, we have
g(x) = 3^(x+2)
Rewrite as:
g(x) = 3^x * 3^2
Set the exponent to 0
g(x) > 0 * 3^2
This gives
g(x) > 0
So, the range is g(x) > 0, and the asymptote is g(x) = 0
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Marta develops a theory that suggests filling out a job application in crayon will lead to a lower probability of being hired. However, almost nobody fills out an application in crayon, so this finding will not affect anyone in a meaningful way. Marta's theory lacks:
Marta's theory lacks practical significance or real-world applicability.
Marta's theory suggests that filling out a job application in crayon leads to a lower probability of being hired.
However, she mentions that almost nobody fills out an application in crayon.
This means that the finding or theory has no practical significance because it doesn't affect a significant number of people or have a real impact in real-world scenarios.
If the vast majority of job applicants do not use crayon to fill out their applications, Marta's theory becomes inconsequential because it doesn't provide any meaningful insight or guidance for job seekers.
The theory lacks practical significance because it doesn't have any practical implications or relevance in the context of job applications and hiring processes.
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When the solution to x²-11x*5 is expressed as -b± √b²-4ac 2a 2 O. S 0. O 141 101 11* √F 2
The solutions to the quadratic equation x²-11x+5=0 are (11±√101)/2.
To find the solution to the quadratic equation x² - 11x + 5 = 0, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
Comparing this formula with the given expression, we can determine the values of a, b, and c:
a = 1
b = -11
c = 5
Now we can substitute these values into the quadratic formula and simplify step by step:
x = (-(-11) ± √((-11)² - 4(1)(5))) / (2(1))
= (11 ± √(121 - 20)) / 2
= (11 ± √101) / 2
Therefore, the solutions to the quadratic equation x² - 11x + 5 = 0 are:
x₁ = (11 + √101) / 2
x₂ = (11 - √101) / 2
Please note that the given expression in your question, "-b± √b²-4ac 2a 2 O. S 0. O 141 101 11* √F 2," does not seem to correctly represent the quadratic formula. The actual quadratic formula is shown above, and the solutions have been derived using it.
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For which of these numbers would you most likely count rather than subitize?
A. 0
B. 1
C. 3
D. 5
A and B are typically subitized, which means that they can be immediately recognized without counting. C and D are more likely to be counted.
Counting is the process of determining the number of items in a set by successively adding one. Subitizing, on the other hand, is the ability to immediately recognize the number of items in a small set without counting. The capacity for subitizing is limited to small sets typically ranging from 1 to 5 items, depending on the individual's age and mathematical ability. The answer to this question would be option C, 3. For most individuals, recognizing the number of items in a set of 3 would require counting rather than subitizing, as 3 is at the upper limit of the typical range for subitizing.
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Please HELPPP!!!
Pleaseeeee
Step-by-step explanation:
isosceles triangle (|>) this but right side up
Substituting the equation y = 4x + 1 into the equation 2y = -x – 1 will produce the equation ________.
a.)
7x = -3
b.)
7x = 1
c.)
9x = -3
d.)
9x = 1
Answer:
C.
Step-by-step explanation:
This is substitution method in solving simulteanous equations.
given y = 4x + 1
we will substitute y into 2y = -x-1
\(2(4x + 1) = - x - 1 \\ 8x + 2 = - x - 1 \\ 8x + x + 2 = - 1 \\ 9x + 2 = - 1 \\ 9x = - 1 - 2 \\ 9x = - 3\)
Therefore the answer is C.
\(\Large\maltese\underline{\textsf{A. What is Asked}}\)
Substituting the equation given into another equation will produce another equation. But which one?
\(\Large\maltese\underline{\textsf{B. This problem has been solved!}}\)
\(\bf{2y=-x-1}\) | substitute the required equation
\(\bf{2(4x+1)=-x-1}\) | solve in terms of x
\(\bf{8x+2=-x-1}\) | carry on solving
\(\bf{9x+2=-1}\) | carry on solving
\(\bf{9x=-3\)
\(\cline{1-2}\)
\(\bf{Result:}\)
\(\bf{=The\;third\;option}\)
\(\LARGE\boxed{\bf{aesthetics\not1\theta 1}}\)
Give the measure of angle C.
20°
180°
70°
110°
Answer:
C=110
Step-by-step explanation:
Angle C and the angle labeled 110 are alternate interior angles if the lines are parallel. Alternate interior angles are equal
C=110
Answer: angle C = 110⁰
Ok done. Thank to me :3
Execute an appropriate follow-up test to determine on which days of the week the mean delivery time is different. what is your conclusion? [save the script to the data file]
To determine on which days of the week the mean delivery time is different, we can conduct a statistical test such as Analysis of Variance (ANOVA) followed by post-hoc tests. ANOVA will help us determine if there are any significant differences in mean delivery time across different days of the week, and post-hoc tests will identify specific pairwise differences between the days.
Here's an example script using Python and the SciPy library to perform the ANOVA and Tukey's HSD post-hoc test:
python
import pandas as pd
from scipy.stats import f_oneway
from statsmodels.stats.multicomp import pairwise_tukeyhsd
# Load the data from the file (assuming it's in CSV format)
data = pd.read_csv('delivery_times.csv')
# Perform one-way ANOVA
f_statistic, p_value = f_oneway(data['Monday'], data['Tuesday'], data['Wednesday'], data['Thursday'], data['Friday'])
# Check if there are significant differences
if p_value < 0.05:
print("The mean delivery times are significantly different across at least one day of the week.")
else:
print("There is no significant difference in mean delivery times across different days of the week.")
# Perform Tukey's HSD post-hoc test
posthoc = pairwise_tukeyhsd(data[['Monday', 'Tuesday', 'Wednesday', 'Thursday', 'Friday']].values.flatten(), data['Day'].values.flatten())
# Save the results to a file
results_df = pd.DataFrame(data=posthoc._results_table.data[1:], columns=posthoc._results_table.data[0])
results_df.to_csv('posthoc_results.csv', index=False)
Make sure to replace 'delivery_times.csv' with the actual filename/path for your data file containing the delivery times. The data file should have columns for each day of the week (e.g., Monday, Tuesday, Wednesday) and a column indicating the corresponding day.
After running the script, it will print whether there is a significant difference in mean delivery times across different days of the week. Additionally, it will save the results of the Tukey's HSD post-hoc test to a CSV file named 'posthoc_results.csv'. The post-hoc results will indicate which pairwise comparisons are significantly different and provide additional statistical information.
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A company that explores for oil in the ocean is considering two new sites, A and B. The exploration will take the entire year. The company estimates the probability of finding oil is 0.45 at site A and 0.17 at site B. The sites are far enough apart so that whether or not oil is found at one site, is independent of its being found at the other. What is the probability that
Find the probability that oil is found at both sites (round your answer to 2 decimal places)
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Find the probability that oil is found at only one of the sites (round your answer to 2 decimal places)
The probability of finding oil at both sites A and B is 0.08. To calculate this probability, we multiply the individual probabilities of finding oil at each site, since the events are independent.
The probability of finding oil at site A is 0.45, and the probability of finding oil at site B is 0.17. Multiplying these probabilities together, we get 0.45 * 0.17 = 0.0765, which rounds to 0.08 when rounded to two decimal places. Therefore, the probability of finding oil at both sites A and B is 0.08.
This calculation lies in the principle of independence. The company estimates that the presence of oil at one site does not affect the presence of oil at the other site. This means that the probability of finding oil at site A does not depend on whether or not oil is found at site B, and vice versa. Therefore, we can treat the events of finding oil at site A and finding oil at site B as independent events.
To find the probability of both events occurring, we multiply their individual probabilities together. In this case, the probability of finding oil at site A (0.45) is multiplied by the probability of finding oil at site B (0.17), resulting in the probability of 0.08. This means that there is an 8% chance of finding oil at both sites A and B during the exploration.
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how do I do this question
Answer:
(2,11)
Step-by-step explanation:
2
Type the correct answer in each box.
What are the values of x and y that make the equations true?
Equation A
(x + yi) + (4 – 7i) = 3 – 4i
Equation B (t + yi) - (-6 + 14i) = 18 + 2i
In equation A, I =
and y =
.
In equation B, 1 =
and y =
Reset
Next
Answer:
Equation A: x = -1 and y = 3
Equation B: x = 12 and y = 16
Step-by-step explanation:
In the complex numbers (a + bi) and (x + yi)
(a + bi) + (x + yi) = (a + x) + (b + y)i(a + bi) - (x + yi) = (a - x) + (b - y)iEquation A
∵ (x + yi) + (4 – 7i) = 3 – 4i
∴ (x + 4) + (y - 7)i = 3 - 4i
→ Compare the real parts and compare the imaginary parts
∴ x + 4 = 3 and y - 7 = -4
∵ x + 4 = 3
→ Subtract 4 from both sides
∴ x + 4 - 4 = 3 - 4
∴ x = -1
∵ y - 7 = -4
→ Add 7 to both sides
∴ y - 7 + 7 = -4 + 7
∴ y = 3
Equation B
∵ (x + yi) - (-6 + 14i) = 18 + 2i
∴ (x - -6) + (y - 14)i = 18 + 2i
→ (-)(-) = (+)
∴ (x + 6) + (y - 14)i = 18 + 2i
→ Compare the real parts and compare the imaginary parts
∴ x + 6 = 18 and y - 14 = 2
∵ x + 6 = 18
→ Subtract 6 from both sides
∴ x + 6 - 6 = 18 - 6
∴ x = 12
∵ y - 14 = 2
→ Add 14 to both sides
∴ y - 14 + 14 = 2 + 14
∴ y = 16
Answer: In equation A, -1 and 3 . In equation B, 12 and 16 .
picture below
Step-by-step explanation:
How do i stay focused in math?
Answer:
You can turn off your phone or download an app the controls your screen time,
you can open your windows and let in some fresh air
you can eat some snacks
i don't know what else
Gwen and her sister started watching a cartoon movie at 11:00 A.M. The movie was 2 hours and 5 minutes long. After the movie, they played a card game for 1 hour and 15 minutes and then played soccer in the backyard for 50 minutes. What time was it when Gwen and her sister finished playing soccer?
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
Answer: 2:10 PM
Step-by-step explanati
1) Is it a function?
Please help
Answer:
Hi, there your answer is no it is not a function
Step-by-step explanation:
Since x is repeating itself
It takes Joanna 15 minutes to complete 4 puzzles. At this rate how many puzzles can she complete in 1 hour and 45 minutes
Solve for b. Show your work (ALL steps must be shown): 4b-3b+7=10 *
Answer:
the answer should be 3 100% sure
Step-by-step explanation:
Simplify 4b-3b+74b−3b+7 to b+7b+7.
b+7=10b+7=10
2 Subtract 77 from both sides.
b=10-7b=10−7
3 Simplify 10-710−7 to 33.
b=3b=3
A triangle has sides with lengths of 6 meters, 12 meters, and 16 meters. Is it a right triangle?
Formula(a^2 +b^2=c^2)
Answer:
i'd say so
Step-by-step explanation: none of the sides are the same length as another
Need help!!!
19 x 4 =
Answer:
76
Step-by-step explanation:
Hope this helps!
Answer:
76
Step-by-step explanation:
x+3x-y+y+2z+z
help please its my rsm homework
Answer:
the answer is 4x + 3z
Step-by-step explanation:
1x + 3x + -1y + 1y + 2z + 1z
1x + 3x = 4x
-1y + 1y = 0
2z + 1z = 3z
so the answer is 4x + 3z
somebody helppppp !!!
what is four minus one, all raised to five-minus-two power
Answer:
3 to the power of 3. Answer : 27.
this is the equation right: (4-1) ^ 5-2
Step-by-step explanation:
Need help for this assignment
Please help, find the area of the polygon.
Answer:
126cm²
Step-by-step explanation:
first divide the figure into two( rectangle and a triangle)
area of a rectangle=length x width
16cmx7xcm
112xcm²
area of a triangle=1/2base x height
1/2x7cmx(20-16)cm
1/2x7cmx(4)cm
14cm²
total area of the figure=area of rectangle+area of triangle
=112cm²+14cm²
=126cm²
hope this is helpful
What is the slope of the line that passes through the points (-10, –4) and (10, -29)? Write your answer in simplest form. Answer: Submit Answer undefined attempt i out of
Answer:
-5/4
Step-by-step explanation:
differentiate. f(x) = qx + r/sx + t, where q
,
r
,
s
,
t
are constants.
To differentiate the function f(x) = qx + r/sx + t, where q, r, s, and t are constants, the derivative is given by f'(x) = q - (r/s) * (1/x^2).
To differentiate the given function, we need to apply the rules of differentiation. Let's break down the steps:
1. Differentiate qx with respect to x: Since q is a constant, the derivative of qx is simply q.
2. Differentiate r/sx with respect to x: We can rewrite r/sx as r * (s * x)^(-1). Applying the power rule of differentiation, the derivative of (s * x)^(-1) is (-1) * (s * x)^(-1 - 1) * s = -s/x^2.
3. Differentiate t with respect to x: Since t is a constant, the derivative of t with respect to x is 0.
4. Combining the derivatives obtained from the previous steps, we have f'(x) = q - (r/s) * (1/x^2).
Therefore, the derivative of the given function f(x) = qx + r/sx + t, where q, r, s, and t are constants, is f'(x) = q - (r/s) * (1/x^2).
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