1.)
a. The probability that a randomly selected value will be greater than 1,550 is 0.0026 or about 0.26%.
b. The probability that a randomly selected value will be less than 1,430 is 0.00005 or about 0.005%.
c. The probability that a randomly selected value will be between 1,380 and 1,620 is approximately 1 or 100%.
d. The lowest value of the upper 35% of the random variable is approximately 1,507.93.
2.)
a. The area below 80 is approximately 0.6293 or 62.93%.
b. The area below 95 is approximately 0.9082.
c. The area below 68 is approximately 32.12%.
d. The area below 99 is approximately 5.48%.
What is probability?
In mathematics, probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain.
1)
a. We need to find the probability that a randomly selected value will be greater than 1,550. We can use the standard normal distribution to calculate this probability. First, we need to standardize the variable X using the formula:
Z = (X - μ) / σ
where X is the variable, μ is the mean, and σ is the standard deviation.
So,
Z = (1550 - 1500) / 18 = 2.78
Using a standard normal distribution table or calculator, we find that the probability of a Z-score being greater than 2.78 is approximately 0.0026.
Therefore, the probability that a randomly selected value will be greater than 1,550 is 0.0026 or about 0.26%.
b. Similarly, we can find the probability that a randomly selected value will be less than 1,430 by standardizing the variable and using the standard normal distribution table or calculator.
Z = (1430 - 1500) / 18 = -3.89
Using the standard normal distribution table or calculator, we find that the probability of a Z-score being less than -3.89 is approximately 0.00005.
Therefore, the probability that a randomly selected value will be less than 1,430 is 0.00005 or about 0.005%.
c. To find the probability that a randomly selected value will be between 1,380 and 1,620, we first need to standardize the variables.
Z1 = (1380 - 1500) / 18 = -6.67
Z2 = (1620 - 1500) / 18 = 6.67
Using the standard normal distribution table or calculator, we find the probability of a Z-score being less than -6.67 is very close to 0 and the probability of a Z-score being greater than 6.67 is also very close to 0. Therefore, the probability of a Z-score being between -6.67 and 6.67 is approximately 1.
Therefore, the probability that a randomly selected value will be between 1,380 and 1,620 is approximately 1 or 100%.
d. We need to find the lowest value of the upper 35% of the random variable. To do this, we need to find the Z-score that corresponds to the 65th percentile (since the upper 35% is the complement of the lower 65%).
Using the standard normal distribution table or calculator, we find that the Z-score corresponding to the 65th percentile is approximately 0.385.
So,
0.385 = (X - 1500) / 18
Solving for X, we get:
X = 1500 + (0.385 x 18) = 1507.93
Therefore, the lowest value of the upper 35% of the random variable is approximately 1,507.93.
2.)
a. The standard value for X = 80 can be calculated as follows:
Z = (X - μ) / σ
Z = (80 - 75) / 15 = 0.33
The area below 80 can be found using the standard normal distribution table or calculator.
P(Z < 0.33) = 0.6293
Therefore, the area below 80 is approximately 0.6293 or 62.93%.
b. For X = 95, we can calculate the standard value and find the area below 95 using the same method as in part (a).
Z = (95 - 75) / 15 = 1.33
Using a standard normal distribution table or calculator, we can find the area below 95 to be approximately 0.9082. Therefore, the answer is:
b. The area below 95 is approximately 0.9082.
c. For X = 68, we can calculate the standard value and find the area above 68 as follows:
Z = (68 - 75) / 15 = -0.47
Using a standard normal distribution table or calculator, we can find the area above -0.47, which is equivalent to the area below 0.47, as 0.3212 or approximately 32.12%.
d. For X = 99, we can calculate the standard value and find the area above 99 as follows:
Z = (99 - 75) / 15 = 1.6
Using a standard normal distribution table or calculator, we can find the area above 1.6 as 0.0548 or approximately 5.48%.
Hence,
1.)
a. The probability that a randomly selected value will be greater than 1,550 is 0.0026 or about 0.26%.
b. The probability that a randomly selected value will be less than 1,430 is 0.00005 or about 0.005%.
c. The probability that a randomly selected value will be between 1,380 and 1,620 is approximately 1 or 100%.
d. The lowest value of the upper 35% of the random variable is approximately 1,507.93.
2.)
a. The area below 80 is approximately 0.6293 or 62.93%.
b. The area below 95 is approximately 0.9082.
c. The area below 68 is approximately 32.12%.
d. The area below 99 is approximately 5.48%.
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who is the best in the movie encanto
Answer:
My opinion Camilo Madrigal
Step-by-step explanation:
Because his gift is shapeshifting.
Answer: Isabela and dolores yes yes:)
m-2=1.97 and explain how to do it im lowkey kind of confused on how to do this.
9514 1404 393
Answer:
m = 3.97
Step-by-step explanation:
Your equation is written as a "one-step" linear equation.
m -2 = 1.97
It is solved by adding 2 to both sides of the equation. (This is the "one step.")
m -2 +2 = 1.97 +2
Simplifying gives ...
m = 3.97
_____
If this is supposed to be an equation where -2 is a exponent, then the rules related to exponents apply. In plain text, this would be written m^-2 = 1.97.
\(m^{-2}=1.97\\\\\dfrac{1}{m^2}=1.97\qquad\text{write using a positive exponent}\\\\\dfrac{1}{1.97}=m^2\qquad\text{multiply by $m^2/1.97$}\\\\\sqrt{\dfrac{1}{1.97}}=m\approx0.71247050\qquad\text{take the square root}\)
find the volume of the figure
Answer:
Step-by-step explanation:
base area=41.57 in²
height=9 in
volume=41.57×9=374.13 in³
A bottler of drinking water fills plastic bottles with a mean volume of 1,007 milliliters (mL) and standard deviation The fill volumes are normally distributed. What proportion of bottles have volumes less than 1,007 mL?
Answer:
0.5 = 50% of bottles have volumes less than 1,007 mL
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
\(\mu = 1007\)
What proportion of bottles have volumes less than 1,007 mL?
This is the pvalue of Z when X = 1007. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{1007 - 1007}{\sigma}\)
\(Z = 0\)
\(Z = 0\) has a pvalue of 0.5
0.5 = 50% of bottles have volumes less than 1,007 mL
5. Find the value of x and y
the value is find the valu of y and it willl be x
Answer:
(2x +12) + (3x +23) = 180
5x + 35 = 180
5x = 145
x = 29
2(29) + 12
58 + 12
70
180 - 70 = 110
y = 110
or
3(29) + 23
87 + 23
110
corresponding angles are equal
y = 110
HURRY i have 42:12 min left
Point A is located in which quadrant?
Quadrant l
Quadrant ll
Quadrant lll
Quadrant lV
Answer:
point a is located Quadrant11
Step-by-step explanation:
Answer:
Need picture to give correct quadrant
Step-by-step explanation:
Help plss
If m/ABF = 8w - 6 and m/ABE = 2(w + 11), find m/EBF.
B
ㅏ
Answer:
∠ EBF = 47°
Step-by-step explanation:
since BE bisects ∠ ABF , then
∠ ABE = ∠ EBF = 2(w + 11) = 2w + 22
∠ ABF = ∠ ABE + ∠ EBF ( substitute values )
8w - 6 = 2w + 22 + 2w + 22
8w - 6 = 4w + 44 ( subtract 4w from both sides )
4w - 6 = 44 ( add 6 to both sides )
4w = 50 ( divide both sides by 4 )
w = 12.5
Then
∠ EBF = 2w + 22 = 2(12.5) + 22 = 25 + 22 = 47°
Trina has a credit card that uses the adjusted balance method. For the first 10
days of one of her 30-day billing cycles, her balance was $780. She then
made a purchase for $170, so her balance jumped to $950, and it remained
that amount for the next 10 days. Trina then made a payment of $210, so her
balance for the last 10 days of the billing cycle was $740. If her credit card's
APR is 17%, which of these expressions could be used to calculate the
amount Trina was charged in interest for the billing cycle?
OA. (30)($780)
365
B.
O C.
D.
0.17
365
0.17
365
0.17
365
30
30
(10 $780+10 $950 +10 $210)
30
10
$780+10$950+10 $740
30
•30) ($570)
The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is (APR / 365) x 30 days x adjusted balance.
What is the adjusted balance method?The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.
The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.
Credit card interest method = adjusted balance method
Beginning balance = $780
Purchase = $170
Payment = $210
Adjusted balance, AB = $740 ($780 + $170 - $210)
APR = 17% = 0.17 (17/100)
The interest charged = (APR / 365) x 30 days x adjusted balance
= $10.34 [(0.17/365) x 30 x $740]
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20 minus twice a number is 5 more than the number.Express mathematically
Let the number be represented by x
Twice the number = 2x
Twenty minus twice the number = 20 - 2x
Five more than the number = 5 + x
Therefore, 20 minus twice a number is 5 more than the number can be interpreted mathematically as:
20 - 2x > 5 + x
Find the value of x.
Answer:
x + 43 = 180
x = 180 -43 = 137
Step-by-step explanation:
I will give you Brainiest if you are right.
Answer:
C. 3x + 6
Step-by-step explanation:
x + x + x + 1 + 1 + 1 + 1 + 1 + 1 + (-1) + (-1) =
= 3x + 6
Answer: C. 3x + 6
Let a population consist of the values 7 cigarettes, 8 cigarettes, and 22 cigarettes smoked
in a day. Show that when samples of size 2 are randomly selected with replacement, the
samples have mean absolute deviations that do not center about the value of the mean
absolute deviation of the population. What does this indicate about a sample mean
absolute deviation being used as an estimator of the mean absolute deviation of
a population?
When using a sample mean absolute deviation as an estimator of the population mean absolute deviation, it may not accurately represent the true value and should be interpreted with caution.
How to explain the informationThe mean absolute deviations of these samples:
Sample (7, 7): MAD = 0
Sample (7, 8): MAD = 1
Sample (7, 22): MAD = 15
Sample (8, 7): MAD = 1
Sample (8, 8): MAD = 0
Sample (8, 22): MAD = 14
Sample (22, 7): MAD = 15
Sample (22, 8): MAD = 14
Sample (22, 22): MAD = 0
As we can see, the mean absolute deviations of these samples do not center around the value of the population MAD, which is approximately 6.11. The sample MADs vary widely, ranging from 0 to 15.
This indicates that the sample mean absolute deviation is not a consistent estimator of the population mean absolute deviation. The sample MADs obtained from samples of size 2 with replacement can be highly variable and do not reliably estimate the population MAD.
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The area of a rectangle is 24, 396 square
centimeters. If the width is 38 centimeters,
what is the length? How do you
know?
Answer:
The area of a rectangle is 24,396 square centimeters. If the width is 38 centimeters what is the length?
Area = L*W
L = Area/W = 24396/38
L = 642 cm
Help Quickly! A truck needs 7 gallons of fuel to travel 56 miles. Can the truck travel 48 miles with 6 gallons of fuel? Explain.
Giving brainliest
Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.
Given that, a truck needs 7 gallons of fuel to travel 56 miles.
The truck travel 48 miles with 6 gallons of fuel.
Here, the proportion is
7:56::6:48
We know that, the proportion is product of extremes = product of means
7×48 = 56×6
336 = 336
Therefore, the correct answer is option B.
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Jill spent 12% of her money on a book. After buying the book, she had $120.12. How much money did Jill have before buying the book?
Answer:
Jill had $136.50 before buying the book.
Step-by-step explanation:
Let x be the total amount that Jill had
Then 12% of x is 0.12x
Jill was left with $120.12 after buying the book
Subtracting the cost of book from the total amount will given us the remaining amount.
Which means
\(x - 0.12x = 120.12\\0.88x = 120.12\\x = \frac{120.12}{0.88} \\x = 136.50\)
Hence,
Jill had $136.50 before buying the book.
introduces a husband and wife with brown eyes who have 0.75 probability of having children with brown eyes, 0.125 probability of having children with blue eyes, and 0.125 probability of having children with green eyes. a) What is the probability that their first child will have green eyes and the second will not? b) What is the probability that exactly one of their two children will have green eyes? c) If they have six children, what is the probability that exactly two will have green eyes? d) If they have six children, what is the probability that at least one will have green eyes? e) What is the probability that the first green eyed child will be the 4th child? f) Would it be considered unusual if only 2 out of their 6 children had brown eyes?
The probability of their first child having green eyes is 0.125, and the probability of their second child not having them is 0.875.
What is a probability?Probability is an estimate of how likely an occurrence is to occur. It's a figure between 0 and 1, where 0 means the event is unlikely and 1 means the event is certain. A likelihood of 0.5 (or 50%) indicates that the occurrence has an equal chance of occurring or not occurring.
In the given question,
a) The probability of their first child having green eyes is 0.125. The probability of their second child not having green eyes is 1 - 0.125 = 0.875. Therefore, the probability that their first child will have green eyes and the second will not is 0.125 x 0.875 = 0.1094.
b) The probability of exactly one of their two children having green eyes can be calculated in two ways: either the first child has green eyes and the second doesn't, or the first child doesn't have green eyes and the second does. The probability of the first scenario was calculated in part (a) to be 0.1094, and the probability of the second scenario is the same, so the total probability is 2 x 0.1094 = 0.2188.
c) The probability of exactly two out of six children having green eyes can be calculated using the binomial distribution with n = 6, p = 0.125, and k = 2. The formula for this probability is:
P(k=2) = (6 choose 2) x \(0.125^2 x (1 - 0.125)^4\) = 0.1936
where (6 choose 2) = 6!/(2!4!) = 15 is the number of ways to choose 2 children out of 6.
d) The probability of at least one of their six children having green eyes is the complement of the probability that none of them do. The probability that any one child doesn't have green eyes is 1 - 0.125 = 0.875, so the probability that none of the six children have green eyes is \(0.875^6\) = 0.1779. Therefore, the probability that at least one of their six children has green eyes is 1 - 0.1779 = 0.8221.
e) The probability that the first green-eyed child will be the fourth child is the probability that the first three children do not have green eyes, multiplied by the probability that the fourth child has green eyes, multiplied by the probability that the fifth and sixth children do not have green eyes. The first three children have a probability of \((1-0.125)^3\) = 0.578 to not have green eyes. The fourth child has a probability of 0.125 to have green eyes. The probability that the fifth and sixth children do not have green eyes is \((1-0.125)^2\) = 0.765625. Therefore, the probability that the first green-eyed child will be the fourth child is 0.578 x 0.125 x 0.765625 = 0.0557.
f) It would depend on the context and the specific definition of "unusual." If the expected number of brown-eyed children is 0.75 x 6 = 4.5, then having only 2 out of 6 children with brown eyes is below average. However, the probability of this exact outcome can be calculated using the binomial distribution with n = 6 and p = 0.75:
P(k=2) = (6 choose 2) x \(0.75^2 x (1 - 0.75)^4\) = 0.0986
where (6 choose 2) = 6!/(2!4!) = 15 is the number of ways to choose 2 children out of 6. This probability is not very low (less than 10%), so it might not be considered unusual in a statistical sense.
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Watch help video
The point A is plotted on the coordinate grid below. Plot the point A', the reflection
of A over the x-axis.
Click on the graph to plot a point. Click a point to delete it.
5
3
N
A
T
3
2
1
2
A
3
5
Answer:
The answer is point A' (3, -2).
arccsc(\(\frac{2}{3}\)\(\sqrt{3}\))
The arc cossecant of the given value is of 30º.
Cosecant and arc cosecantThe cosecant of an angle is given by the ratio between 1 and the sine of the angle, as follows:
cos(x) = 1/sin(x)
The arc cossecant of an angle is represented by the expression arc csc(x), and represents the inverse of the cossecant, that is, it is the angle which has a cosecant of x.
In this problem, the arc cossecant that is asked is:
\(\arccsc{\left(\frac{2}{3\sqrt{3}}\right)}\)
Basically, it asks for the angle which has a cossecant value of 2/(3sqrt(3)). This angle is found using a calculator, and it is of 30º.
Hence the numeric value of the expression is presented as follows:
\(\arccsc{\left(\frac{2}{3\sqrt{3}}\right)} = 30^\circ\)
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Which choice is equivalent to the product below?
..
Someone pls help
Answer:
Answer B
Step-by-step explanation:
√2 * √8 * √4
√8 = √(2*2*2)
√8 = 2√2
√4=2
√2* 2√2 *2
2*2*2
B
The lines on the graph below represent the cost of apples at four different stores.
Cost of Apples
10-
9
Total Cost in Dollars
C
2 3 4 5 6 7 8 9 1
Pounds of Apples
At which store is the cost of apples the least?
O A
The store at which the apple will cost the cheapest is: Store A
How to find the slope of the line graph?The formula for the slope between two coordinates is:
Slope = (y₂ - y₁)/(x₂ - x₁)
Now, all the lines in the attached graph pass the origin and so they will all have the coordinate (0, 0)
The slope for each line will give us the cost for each apple in the store.
Thus:
Slope for store A = (3 - 0)/(4 - 0)
Cost for store A apple = $0.75
Slope for Store B = (5 - 0)/(5 - 0)
Cost for store B apple = $1
Slope for Store C = (5 - 0)/(4 - 0)
Cost for store C apple = $1.25
Slope for Store D = (6 - 0)/(3 - 0)
Cost for store C apple = $2
Thus, store A has the cheapest Apple
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Kenny drank 37 ounces of milk during the
day. How many cups of milk did he drink?
Answer:
4.625
Step-by-step explanation:
that is the answer
Need some math help 50pts
Answer:
angle 1 and 3 are 127.3 degrees and angle 2 is 52.7 degrees
Step-by-step explanation:
so angle 2 is also 52.7 degrees because angle 2 and 4 are vertical oppostite angles
so we can look at it now that we have to find angle 1. since we know a line is 180 degrees we make angle 1 plus angle 2 equal to 180
let angle 1 be x
x + 52.7 = 180
x = 180 - 52.7
x = 127.3
Answer:
m∠1 = 127.3°
m∠2 = 52.7°
m∠3 = 127.3°
Step-by-step explanation:
Vertical Angle Theorem: When two straight lines intersect, the opposite vertical angles are always equal to each other.
⇒ m∠1 = m∠3 and m∠2 = m∠4
If m∠4 = 52.7° then m∠2 = 52.7°
Linear pair: Two adjacent angles which sum to 180°.
⇒ m∠1 + m∠2 = 180°
⇒ m∠3 + m∠4 = 180°
⇒ m∠3 + 52.7° = 180°
⇒ m∠3 = 180° - 52.7°
⇒ m∠3 = 127.3°
As m∠1 = m∠3 then m∠1 = 127.3° also.
Convert 506 minutes to hours and minutes.
Answer:
8 hours and 26 minutes
Step-by-step explanation:
To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.
First, we can divide 506 by 60 to find the number of hours:
506 ÷ 60 = 8 with a remainder of 26
This means that 506 minutes is equal to 8 hours and 26 minutes.
Therefore, the conversion of 506 minutes to hours and minutes is:
8 hours and 26 minutes
The graph shows the position versus time of a jo per running along a straight path.distancetitimeOver what interval was the joper's average speed equal to 0?O tototOttotOttotsIstotaI
Therefore, the option with the average speed equals to zero is option C.
\(t_2tot_2\)I. Need help on this iready
Answer:
first choice on the left.
Step-by-step explanation:
Comment
That is not the easiest graph I've seen to interpret. What it shows is that each cup of juice is 3/4 of a cup.
The graph says she has 4 cups that she can give out. She has 1/4 cup left over which is why it is marked.
Technically the answer is 4 cups with 1/4 cup left over, so the answer should be A.
i think of a number multiply it by 4 and subtract 3 i get 11
Answer:
3.5
Step-by-step explanation:
Let the number be x.
x × 4 - 3 = 11
4x - 3 = 11
Add 3 on both sides.
4x - 3 + 3 = 11 + 3
4x = 14
Divide both sides by 4.
4x/4 = 14/4
x = 14/4
x = 7/2
Answer:
3.5Solution,
Let the number be X
\(x \times 4 - 3 = 11 \\ or \: 4x - 3 = 11 \\ or \: 4x = 11 + 3 \\ or \: 4x = 14 \\ or \: x = \frac{14}{4} \\ x = 3.5\)
Hope this helps...
Good luck on your assignment..
For a statistics project a community college student at Diablo Valley College decides to investigate cheating in two popular majors at DVC: business and nursing. She selects a random sample of nursing and business courses and convinces the professors to distribute a short anonymous survey in their classes. The question about cheating is one of many other questions about college life.
When the student summarizes the data, she finds that 42 of the 50 business students and 38 of the 70 nursing students admitted to cheating in their courses. Can the student proceed with the calculation of the confidence interval for the difference in population proportions?
Answer:
The student can proceed with the calculation of the confidence interval for the difference in population proportions. This is because, from the data she has, 3/4 of the Business students admitted to cheating while 1/2 of the Nursing students admitted to cheating also.
This is above the average number of students in her given sample size which is valid for extrapolation to the College Majors being investigated.
Step-by-step explanation:
PLEASE HELP ME OUT HEREEEEEEEE
Answer:
7/10
Step-by-step explanation:
4 1/5 - 3 1/2 = 7/10
The members of the Junior National Honors Society at Franklin Middle School are required to complete community service hours. The box plots show the volunteer service hours performed by the 7th and 8th graders. 7th Graders 8th Graders 3.5 4 4.5 Community Service 5 5.5 6 6.5 7 7.5 Number of Hours Which statement is best supported by the information in the box plots?
The statement best supported by the information in the box plots is that 8th graders performed more community service hours than 7th graders.
What is quartile?Quartiles are based on the median of a data set, with the lower quartile representing the 25th percentile, the median representing the 50th percentile, and the upper quartile representing the 75th percentile.
This can be seen by comparing the upper quartile (Q3) of 8th grade to the upper quartile of 7th grade; the upper quartile of 8th grade = 6.5, while the upper quartile of 7th grade= 5.5.
This indicates that higher numbers of 8th graders volunteered for more hours than 7th graders.
The median and lower quartile of 8th grade are also higher than the median and lower quartile of 7th grade, indicating that more 8th graders volunteered for longer hours than 7th graders.
This can be seen by comparing the medians of each group= 5 and 4.5 for 8th and 7th grade, respectively.
Similarly, the lower quartile of 8th grade = 4 while the lower quartile of 7th grade = 3.5, showing that more 8th graders volunteered for longer hours.
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I REALLY NEED HELP PLS.....
Answer:
The last two.
\( - 5x + 3 \: and \: - 2x + 3 - 3x\)
Step-by-step explanation:
Simplify the first set of parentheses to get
\( - 5 \frac{1}{3} x\)
Simplify the second set of parentheses by distributing the negative. It will change the signs in the parentheses.
\( \frac{1}{3} x + 3\)
Add (really subtract since the signs are different) the like terms.
\( - 5x + 3\)