A. 0.5355 is the probability that a random sample of 4 has a mean between 604 and 618.
B. 0.5274 is the probability that a random sample of 17 has a mean between 604 and 618.
C. 0.9872 is the probability that a random sample of 25 has a mean between 604 and 618.
A. The probability that a random sample of 4 has a mean between 604 and 618 can be calculated as follows:
Given: μ = 600, σ = 44, n = 4.
We need to find the probability of a sample mean lying between 604 and 618.
z1 = (604 - 600) / (44/√4) = 1.818
z2 = (618 - 600) / (44/√4) = 4.545
P(1.818 < Z < 4.545) = P(Z < 4.545) - P(Z < 1.818 = 0.9996 - 0.4641 = 0.5355
Probability = 0.5355.
B. The probability that a random sample of 17 has a mean between 604 and 618 can be calculated as follows:
Given: μ = 600, σ = 44, n = 17.
We need to find the probability of a sample mean lying between 604 and 618.
z1 = (604 - 600) / (44/√17) = 1.916
z2 = (618 - 600) / (44/√17) = 4.779
P(1.916 < Z < 4.779) = P(Z < 4.779) - P(Z < 1.916) = 0.99998 - 0.4726 = 0.5274
Probability = 0.5274.
C. The probability that a random sample of 25 has a mean between 604 and 618 can be calculated as follows:
Given: μ = 600, σ = 44, n = 25.
We need to find the probability of a sample mean lying between 604 and 618.
z1 = (604 - 600) / (44/√25) = 2.272
z2 = (618 - 600) / (44/√25) = 5.455
P(2.272 < Z < 5.455) = P(Z < 5.455) - P(Z < 2.272) = 0.99999 - 0.0127 = 0.9872
Probability = 0.9872.
To learn more about probability, refer below:
https://brainly.com/question/31828911
#SPJ11
HELP!!Part B What is the approximate volume of each slice that Hattie's grandma cut? (arc length of each slice is 3 in, vol. of cake is 81pi with 8in diameter and 4in tall, she cuts 4 peices) Select the correct answer. a) 19 in b) 27 in c) 38 in d) 108 in
The approximate volume of each slice will be 63.5 inch². The total cake is divided into the four cylindrical slice.
What is volume?
It is defined as a three-dimensional space enclosed by an object or thing.
The volume of the slice is;
\(\rm V = \pi r^2 h\\\\\ \rm 81 \pi = \pi \times (r)^2 \times 4 \\\\ r= 4.5 \ inch\)
If the grandma cut four pieces, is the approximate volume of each slice that Hattie's grandma cut will be;
The approximate volume of each slice will be;
\(\rm V = \PI r^2 h \\\\ \rm V = 3.14 \times (4.5)^2 \times 1 \\\\ V=63.5 \ inch^2\)
Hence, the approximate volume of each slice will be 63.5 inch².
Learn more about the volume here:
https://brainly.com/question/16788902
#SPJ2
Answer:
I believe this would be 38in^3
There are 12 months in a year. Use the drop-down menus to help write the equation that can be used to find the number of months, m, given the number of years, y.
The number of months, m, given the number of years, y is 12 years.
The Calendar in use today has 12 months every year. The length of the months is either 28, 29, 30, or 31 days. The 12 months of the Calender each have a length of 28 to 31 days. In a typical year, which has 365 days, each month has either 28, 30, or 31 days.
Months to Years Conversion. Divide the time by the conversion ratio to change the measurement from a month to a year. The months are equal to the years when split by 12.
12 months = 1 years
24 months = 2 years
36 months = 3 years
The number of months greater than the number of years
m= 12y
Know more about Months at:
https://brainly.com/question/759158
#SPJ4
PLS ANSWER THIS FAST!! I NEED HELP ASAP
Answer:
HECF
Step-by-step explanation:
I FOUND THIS FUN BUT I DONT KNOW IF ITS RIGHT
Find the square root of 75
Answer:
8.66 = 9
Step-by-step explanation:
The square root of 75 is approximately equal to 8.66 but if rounded 9
In the figure above, AP and CQ are tangents to the circle.
If ∠ABC = 60° and ∠BAP = 40°, find ∠BCQ.
Answer:
30
Step-by-step explanation:
You take a protractor and put at c then you measure
Converting from vertex to standard form
\(y = (x + 1) {}^{2} - 3\)
\(y = (x - 2) {}^{2} + 3\)
Answer:
Step-by-step explanation:
y = (x+1)² - 3
= (x²+2x+1)-3
= x²+2x-2
:::::
y = (x-2)² + 3
= (x²-4x+4) + 3
= x²-4x+7
4/9 es racional o irracional y porque?
Answer: 4/9 es racional - cualquier fracción adecuada x/y es un número racional. Expresado como un decimal, esto es igual a 0.4 recurrente (es decir, 0.44444...)
Step-by-step explanation: ¡Espero que esto ayude!
El número 4/9 es un número racional. Es una razón, o fracción, formada por dos números enteros, 4 y 9.
1/2a+2/3b=50 when b=30?
The given equation is (1/2)a + (2/3) b = 50
and b = 30
Substituting the given value of b is above the equation we get
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow\left(\frac{1}{2}\right)a+\left(\frac{2}{3}\right)\times30=50 } \end{gathered}$}\)
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow \left(\frac{1}{2}\right)a+20=50 } \end{gathered}$}\)
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow\left(\frac{1}{2}\right)a=50-20=30 } \end{gathered}$}\)
\(\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow a = 30 \times 2 = 60 } \end{gathered}$}\)
Therefore, a = 60 and b = 30 is a solution of the given equation.
I recommend you see more at:
https://brainly.com/question/12950748Use the following information for problems 4-6.The mean weight of a domestic house cat is 8.9 pounds, with a standard deviation of 1.1 pounds.The distribution of domestic house cat weights can reasonably be approximated by a normal distribution.What percentage of domestic house cats weigh less than 7.8 pounds?What percentage of domestic house cats weigh more than 11.1 pounds?A domestic house cat weighing 9 pounds is in what percentile?Use the following information for problems 7-9.An article in a health magazine suggested getting a dog in order to increase time spent walking (for exercise). A researcher for the article found that the distribution of time spent walking by dog-owners was approximately normally distributed with a mean of 38 minutes per day. She also found that 84% of dog-owners spend less than 45 minutes walking per day.Find the standard deviation (in minutes) for daily walking time among dog-owners.Construct a normal distribution curve that displays all relevant data for this scenario.How long would a dog-owner need to walk in a day to be ranked in the 99th percentile?Using any research tools at your disposal, find 3 real-world examples of variables that are, in fact, normally distributed.
In order to solve this question, we need to use the z-score z of value x, belonging to a normal distribution with mean μ and standard deviation σ.
z is defined as:
\(z=\frac{x-\mu}{\sigma}\)In this problem, we have, in pounds:
μ = 8.9
σ = 1.1
PART 1
So, the percentage of domestic house cats that weigh less than 7.8 pounds is:
\(P(x<7.8)=P(z<\frac{7.8-8.9}{1.1})=P(z<-1)\)And from a z-score table, we have:
\(P(z<-1)=0.15866\)Therefore, the percentage of domestic house cats that weigh less than 7.8 pounds is approximately 0.1587 or 15.87%.
PART 2
The percentage of domestic house cats that weigh more than 11.1 pounds is 1 minus the percentage of them that weigh less than that:
\(\begin{gathered} P(x>11.1)=1-P(x<11.1) \\ \\ P(x>11.1)=1-P(z<\frac{11.1-8.9}{1.1})=1-P(z<2) \\ \\ P(x>11.1)=1-0.97725=0.02275 \end{gathered}\)Therefore, the percentage of domestic house cats that weigh more than 11.1 pounds is approximately 0.0228 or 2.28%.
PART 3
The domestic house cat weighing 9 pounds is in percentile P(x<9):
\(P(x<9)=P(z<\frac{9-8.9}{1.1})=P(z<0.09091)=0.53622\cong0.54\)Therefore, a domestic house cat weighing 9 pounds is in the 54th percentile.
answer for brainlist
Answer:
Answer
Step-by-step explanation:
2 dice are thrown simultaneously what is the probability that the sum of the faces that the
The probability of the sum of the faces that the 2 dice are thrown simultaneously can be found by using the formula for the probability of independent events, which is P(A) * P(B).
The probability of the sum of the faces when 2 dice are thrown simultaneously depends on the specific sum you are looking for. You can use the formula P(A) * P(B) and the number of possible outcomes for each sum to find the probability.
First, let's determine the probability of each event. The probability of rolling a specific number on a single die is 1/6, since there are 6 possible outcomes. Therefore, the probability of rolling a specific number on both dice is (1/6) * (1/6) = 1/36.
Next, we need to determine the number of possible outcomes for the sum of the faces. There are 11 possible sums (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12), each with a different number of possible outcomes. For example, there is only one way to roll a 2 (1 + 1), but there are six ways to roll a 7 (1 + 6, 2 + 5, 3 + 4, 4 + 3, 5 + 2, 6 + 1).
Finally, we can use the formula to find the probability of each sum. For example, the probability of rolling a 7 is (6/36) = 1/6. The probability of rolling a 2 is (1/36).
For more information about probability, visit:
https://brainly.com/question/24756209
#SPJ11
Discriminat of 3x^2+15x-6=0
Solution
=−5±33√2
jjkk,m
if x=5, y=-3, and z=-7 z=-7, evaluate 3x^2-9y/yz
there are 24 and 40 students in the class the ratio is 4:7 how many students are in the class
Answer:
33 Students
Step-by-step explanation:
4+7=11 so the number of students in the class must be a multiple of 11. The only multiple of 11 between 24 and 40 is 33.
Solve the equation below for c. Fill in the blanks to give the steps used in this process.
P = 2c + 5
need answer ASAP
The equation when solved for the variable 'c' is c = P-5/ 2
What is subject of formula?A subject of formula can be defined as the variable that is written or denoted in terms of other variables in an equation or expression.
It is known as the variables being worked out in an equation. It is allowed to stand on its own over the equality sign.
Given the equation;
P = 2c + 5
To make the variable 'c' the subject of formula, we take the following steps:
Take 5 over the equality sign
P - 5 = 2c
Now, divide both sides by the coefficient of 'c' which is 2
2c/ 2 = P - 5/ c
Find the quotient
c = P-5/ 2
Thus, the equation when solved for the variable 'c' is c = P-5/ 2
Learn more about subject of formula here:
https://brainly.com/question/10643782
#SPJ1
Which of the following is a foci of x^2/16-y^2/4=1
Answer:
x(8;2)
Step-by-step explanation:
i think that
What do a kite and a rhombus have in common?
Answer:
Their diagonals intersect at right angles
They are quadrilaterals
Opposite angles are equal
Step-by-step explanation:
Answer:
their shapes
Step-by-step explanation:
they have same corners
After 8 examinations, Kacey's average was 55. Her next result increased her average to 60. What was the next score?
Multiply the average by the number of exams to find total points:
8 x 55 = 440
9 x 60 = 540
The score of the 9th exam is the difference between the two totals:
540 - 440 = 100
They scored a 100
A boy wants a game which cost $180, but he only has 1/3 of the money, how much more money does he need to buy the game?
Answer: $120
Step-by-step explanation:
So you find 1/3 of 180, basically, you multiply them which is 60.
So if he has a third of the money, he has $60, but he needs 180. So we subtract $180 (how much money he needs) from $60 (the money he has). Which is 120 dollars, so the boy needs $120.
Or 2/3 more.
1+1=?
a. 0
b. 1
c. 3
d. 2
i need a good explanation!!!
Answer:
d.2
Step-by-step explanation:
because if you have 1 blue bead then ur friend gives you another blue bead that makes 2 blue beads.
hope this helps
A 2-column table with 9 rows. The first column is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 6, negative 2, 0, 4, 4, 0, negative 2, negative 6, negative 10. Based on the table, which best predicts the end behavior of the graph of f(x)? As x → ∞, f(x) → ∞, and as x → –∞, f(x) → ∞. As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞. As x → ∞, f(x) → –∞, and as x → –∞, f(x) → ∞. As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞.
Answer:
As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞Step-by-step explanation:
First, you need to graph all given points in the table, that way you will be able to determine the end behavior.
Remember, the end behavior of a function is the behavior of f(x) as x approaches to positive infinity and negative infinity.
So, based in the graph, we can say that as x approaches to positive infinity, f(x) approaches to negative infinity, and as x approaches to negative infinity, f(x) approaches to negative inifinity. In other words, in either case, f(x) always approaches to negative infinity.
Therefore, the right answer is the last choice.
Answer:
As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞
Step-by-step explanation:
Just took the test!!!
Find the product of the numbers in the third row.
Am I suppose to multiply then??
Answer:
Yes, product means multiply all three, 4*2*7=56
Step-by-step explanation:
For random variable X~N(3,0.75), what is the probability that X takes on a value within two standard deviations on either side of the mean?
Answer:For random variable X~N(3,0.75), what is the probability that X takes on a value within two standard deviations on either side of the mean?
Step-by-step explanation:
A large university offers stem (science, technology, engineering, and mathematics) internships to women in stem majors at the university. A woman must be 20 years or older to meet the age requirement for the internships. The table shows the probability distribution of the ages of the women in stem majors at the university.
The correct answers for this large university offering STEM are:
(A) 0.223(B) 0.0322(C) It is more likely(A) To find the probability that a woman selected will not meet the age requirement, we add up the probabilities of her being 17, 18, or 19 years old:
P(not meeting age requirement) = P(17 years) + P(18 years) + P(19 years) P(not meeting age requirement) = 0.005 + 0.107 + 0.111 P(not meeting age requirement) = 0.223(B) To find the probability that at least 30% of the women in the sample will not meet the age requirement, we can use the binomial distribution formula to find the probability that 0, 1, 2, ..., 30 women in the sample will not meet the age requirement, and then subtract this from 1 to get the complement:
P(at least 30% not meeting age requirement) = 1 - Σ (from k = 0 to 30) (C(100, k) * 0.223^k * (1 - 0.223)^(100-k)) P(at least 30% not meeting age requirement) = 0.0322Where:
C(100, k) is the binomial coefficient, representing the number of combinations of 100 women taken k at a time.(C) To compare the likelihood of a woman who does not meet the age requirement being selected in a stratified random sample versus a simple random sample, we need to find the probability of her being selected in each scenario.
In the stratified random sample, 30 women are selected from the group of women who do not meet the age requirement, and 70 are selected from the group who do meet the age requirement. So, the probability of a woman who does not meet the age requirement being selected in this scenario is:
P(selected in stratified random sample) = 30/100 * (0.005 + 0.107 + 0.111) / (0.005 + 0.107 + 0.111 + 0.252 + 0.249 + 0.213 + 0.063) P(selected in stratified random sample) = 30/100 * 0.223 / (1 - 0.223)In a simple random sample, a woman has a 0.223 probability of being selected if she does not meet the age requirement and a 0.777 probability of being selected if she does meet the age requirement. So, the probability of a woman who does not meet the age requirement being selected in this scenario is:
P(selected in simple random sample) = 0.223 / (0.223 + 0.777) P(selected in simple random sample) = 0.223Since the probability of a woman being selected in the stratified random sample is greater than the probability of her being selected in a simple random sample, we can conclude that she is more likely to be selected in a stratified random sample.
This question should be provided as:
A large university offers STEM (science, technology, engineering, and mathematics) internships to women in STEM majors at the university. A woman must be 20 years or older to meet the age requirement for the internships. The table shows the probability distribution of the ages of the women in STEM majors at the university.
Age (years): 17, 18, 19, 20, 21, 22, 23 or olderProbability: 0.005, 0.107, 0.111, 0.252, 0.249, 0.213, 0.063The university will select a sample of 100 women in STEM majors to participate in a focus group about the internships.
(a) Suppose one woman is selected at random from the women in STEM majors at the university. What is the probability that the woman selected will not meet the age requirement for the internships?(b) Suppose a simple random sampling process is used to select the sample of 100 women. What is the probability that at least 30 percent of the women in the sample will not meet the age requirement for the internships?(c) Suppose a stratified random sampling design is used to select a sample of 30 women who do not meet the age requirement and a sample of 70 women who do meet the age requirement. Based on the probability distribution, is a woman who does not meet the age requirement more likely, less likely, or equally likely to be selected with a stratified random sample than with a simple random sample? Justify your answer.Learn more about probability of a randomly sampled woman here: brainly.com/question/15991849
#SPJ4
Solve 2 (x-3) ≥-3 (−3+x).
A. x ≤2
B. x <3
C. x ≥3
D. x ≥ 2
\(2(x-3)\geqslant -3(-3+x)\implies 2x-6\geqslant 9-3x\implies 2x\geqslant 15-3x \\\\\\ 5x\geqslant 15\implies x\geqslant \cfrac{15}{5}\implies x\geqslant 3\)
(EASY) I WILL MARK THE BRAINLYEST !!!
so, these problems are currently my last two problems. There were two rude people that answered them and didn't actually give me an answer and responded with "no". Can you guys please help me? These are the only two questions giving me problems at the moment. Thank you for taking the time to help me.
1) |5x+5|+22>57
solve for both absolute values
( it would help if you could include how to graph it on a number line as well as the interbal notation )
2) I= prt
solve for I
Answer:
-8>x>6
Step-by-step explanation:
I 5x+5I +22> 57subtract 22 on both sides
I5x+5I >35
SPLIT
5x+5>35 5x+5< -35 ( flip sign and 35 negative)
5x>30 5x< -40
x>6 x< -8
Draw a number line Write zero in the middle
From zero count to the left until- 8 make an open circle because- 8 is not included From -8 draw an arrow to the left (because x is less than -8)
From zero count to the right until 6 Make an open circle bc 6 is not included. From 6 draw an arrow to the right (because x is more than 6)
PART 2 is not already solved?
If you need to solve fot t
Divide both parts by pr
t= (l/ pr)
Find the area of all the letters!!!!
The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The area of the given letters
J = 0.5 × 8 ft × 6 ft = 24 ft²
K = 8ft × 9ft = 72 ft²
L = 6ft × 9ft = 54 ft²
M = 10ft × 9ft = 90ft²
N = 0.5 × 8 ft × 6 ft = 24 ft²
U = 0.5 × 16 yd × 15 yd = 120 yds²
V = 0.5 × 16 yd × 15 yd = 120 yds²
W = 16 yd × 16 yd = 256 yds²
V = 0.5 × 16 yd × 15 yd = 120 yds²
X = 0.5 × 16 yd × 15 yd = 120 yds²
A = 5 in × 10 in = 50 in²
B = 10 in × 12 in = 120 in²
C = 5 in × 12 in = 60 in²
D = 5 in × 10 in = 50 in²
E = 5 in × 12 in = 60 in²
F = 10 in × 12 in = 120 in²
Learn more about the Area:
https://brainly.com/question/1631786
#SPJ1
What is the best description of the relationship in the scatterplot below?
A) Positive linear association
B) Negative linear association
C) Nonlinear association
D) No association
as alpha increases the exponential smoothing model group of answer choices produces sluggish forecasts. reacts quickly to changes in the data. reacts slowly to changes in the data. does not change.
Exponential smoothing is a popular forecasting technique used to predict future trends in time-series data. It works by assigning weights to historical data points, with more recent data points receiving higher weights. The level of smoothing is controlled by a smoothing parameter called alpha, which ranges between 0 and 1. As alpha increases, the influence of older data points decreases, and the model becomes more reactive to recent changes in the data.
When alpha is high, the exponential smoothing model group of answer choices tends to produce sluggish forecasts. This is because the model gives more weight to recent data points, which can cause it to overreact to short-term fluctuations in the data. As a result, the model may miss important trends or patterns in the data that would have been captured by a more balanced weighting scheme.
On the other hand, when alpha is low, the model tends to be more stable and less reactive to short-term changes in the data. This can be useful for predicting long-term trends or for smoothing out noisy data sets.
In summary, the choice of alpha in an exponential smoothing model depends on the characteristics of the data and the goals of the forecast. A high alpha value may be appropriate for short-term forecasting or for data sets with high volatility, while a low alpha value may be more suitable for long-term forecasting or for data sets with low volatility.
Learn more about smoothing here:
https://brainly.com/question/31358866
#SPJ11
When you roll two number cubes, what are the odds in simplest form against getting two numbers greater than 3?
A. 4:1
B. 1:4
C. 3:1
D. 1:3
Answer:
1:3.
Step-by-step explanation:
Probability(getting > 3 on one roll) = 3/6 = 1/2.
So on 2 cubes rolled the probability of getting > 3 is 1/2 * 1/2 = 1/4.
As a ratio this is 1:3.