This indicates that the baby's weight is 0.64 standard deviations below the mean weight of newborn babies.
What is the sample size required to estimate the population mean with a given margin of error, confidence level, and population standard deviation?To calculate the z-score, we use the formula:
z = (x - μ) / σx is the observed value (weight of the baby),μ is the mean (average weight of newborn babies),σ is the standard deviation.In this case, the observed weight is 6.70 pounds, the mean weight is 7.5 pounds, and the standard deviation is 1.25 pounds.
Plugging these values into the formula, we get:
z = (6.70 - 7.5) / 1.25Calculating this, we find that the z-score is approximately -0.64.
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Please help!!!! Need the answers fast
The value of x in the triangle STV is 12 and the value of x in WYZ is 20 degrees
Isosceles triangle is a triangle in which the two sides and their angles are equal
SV=TV from the triangle STV
2x+6 = 3x-6
Take the variables on one side and constants on other side
6+6=3x-2x
12=x
So the value of x is 12
In the triangle WYZ
3x=60
Divide both sides by 3
x=20 degrees
Hence, the value of x in the triangle STV is 12 and the value of x in WYZ is 20 degrees
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find the value of x.
Answer:
X = 62
Step-by-step explanation:
The angle is sitting on a straight line. A straight line always has an angle of 180.
So to find x do the equation:
180 - 118 = x
180 - 118 = 62
X = 62
The answer is 62
Joseph has a bag of 4 marbles. There are 2 green marbles, 1 yellow marble, and 1 purple marble.
Which list gives the sample space for pulling 2 marbles from the bag with replacement?
List 1
List 2
List 3
List 4
The list that gives the sample space for pulling 2 marbles from the bag with replacement is given as follows:
List 4.
What is a sample space?A sample space is a set that contains all possible outcomes in the context of an experiment.
The fact that the experiment is with replacement means that for each of the two marbles, there are two possible outcomes.
Then, applying the Fundamental Counting Theorem, the total number of outcomes is given as follows:
4 x 4 = 16.
This means that the correct list is either the list 3 or the list 4.
As there is replacement, it is possible to take two purple marbles, even though there is only one purple marble, as the same can be taken with replacement, and thus the correct list is given by list 4.
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Answer: List 4
Step-by-step explanation: This answer is here to confirm the other answer. It got me 100% on my test.
Also I know the right answer because I got it right
So good luck on y'all's math tests :)
Here is some proof that the answer is List 4
Doug spent $1.05 on 0.6 pounds of apples.
a.) How much would 3 pounds of apples cost?
Emily is training for a 10K race. On day one, she runs for 20 minutes. On day two, she runs for 30 minutes. On day three, she runs for 40 minutes. If this pattern continues, how many minutes will she run on day 12?
Answer:
130
Step-by-step explanation:
:0
Using the side splitter theorem, which segment length would complete the proportion?
As per the side splitter theorem, the segment length would complete the proportion is GJ
In math, the side splitter theorem states that "if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally".
Here we have to find the segment length that would complete the proportion by using the side splitter theorem.
According to this theorem and by using the following diagram, we can elaborate the following proportion
=> GH/HE = GJ/JF
Here we have identifies that the segment that completes the proportion is GJ, because it must be used according to the theorem.
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Samantha is selling custom printed t-shirts as a fundraiser. It costs her $3.50 to print a shirt with one ink color and $4.00 to print a shirt with two ink colors. She sells single-ink-color shirts for $5.00 and two-ink-color shirts for $6.00. An order is placed for 153 single-ink-color shirts and 88 two-ink-color shirts. How much will Samantha have to spend in order to fulfill this order?
Answer:
42
Step-by-step explanation:
Just did it for HW
Answer:
How much it costs her to make it:
One-ink: 535.5
Two-ink: 352
Total: 887.5
Profits:
One-ink: 229.5
Two-ink: 176
Total: 405.5
About how many times greater was change in price per gallon in 2007 than 2000? Show your work or explain how u determind your answer.
The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b
Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b
Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.
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Problem 4. As a cold front passed through Denver, the temperature changed at the same
rate of 6 hours. The total change in temperature was -42 degrees. What was the change in
temperature each hour?
The change in temperature in each hour would be = -7 degrees/ hour
What is temperature?Temperature is defined as the degree of how hot or cold a body is which can be measured in degree Celsius or degree Fahrenheit.
As the individual passed through Denver the time for total temperature change = 6 hours.
The total temperature changes = -42 degrees
If 6 hours = -42 degrees
1 hour = × degrees
make X the subject of formula;
X = -42/6
X = -7 degrees/hour
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Tellin' Tees
Tellin' Tees is a shop that sells tee shirts at two different prices.
p= selling price
t = number of shirts
p(specialty shirts) = 35 + 25t represents the price for specialty shirts with a team logo.
p(regular shirts) = 25t represents the price for all other shirts.
Determine whether the relationship between the price of shirts and the number of shirts bought is a
proportional relationship for either the price of specialty shirts or the price of regular shirts. Describe in
words how you tested the two relationships and how you made your decision about proportionality.
Answer:
am not sure. the 2 relationships are proportional cus they are even
What is the equation of the line that has a slope of -4 and goes through (-1,6)
Answer:
y = -4x + 2
Step-by-step explanation:
We know that the equation of slope is y = mx + bWe also know that the slope is -4 given in this problem So:y = -4x + bUsing the point (-1, 6), we can substitute this point into the above equation to solve for b. (6) = -4(-1) + b6 = 4 + bb = 2Therefore the equation of the line is y = -4x + 2Charles bought 11 bottles of juice for $22.33. What is the unit rate?
HELP! URGENT!! Will give brainliest if correct :)
Suppose cluster sampling were being used to survey digital camera users, who amount to 77% of the population of the United States. Based on the table below, which city would be considered the best cluster?
96% - Houston
11% - Las Vegas
49% - Phoenix
78% - San Diego
A. Las Vegas
B. Houston
C. Phoenix
D. San Diego
Answer: I could be wrong the question is a little confusing to understand but I would say C: Phoenix 49%
which variety of nonrandom sampling takes proportions into consideration?
a) convenience
b) judgment
c) quota
d) purposive
The variety of nonrandom sampling that takes proportions into consideration is: c) quota
Quota sampling is the variety of nonrandom sampling that takes proportions into consideration. In quota sampling, the researcher selects a specific number of participants from each subgroup of the population based on their proportion in the overall population. This ensures that the sample represents the different subgroups in the population proportionately.
In quota sampling, the researcher selects participants based on specific characteristics or proportions to ensure that the sample represents the target population accurately. The researcher sets quotas for different groups or segments based on known proportions or desired representation in the population.
For example, if a population consists of 60% males and 40% females, a quota sample might be designed to include the same proportions of males and females. The researcher would continue to select participants from each group until the quotas are met.
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A group of friends are going to see a movie. The admission cost is $8 per person. The table below represents the number of friends and the total cost.
Answer:
No table shown.
Step-by-step explanation:
Where’s the table?
Answer:
it is c
Step-by-step explanation:
Mark went to the hobby shop and bought 2 lego sets at $38.95 each and some remote car. If he
spent a total of $121.85, what was the cost of the remote car?
Answer:
43.95
Step-by-step explanation:
38.95*2 = 77.9
77.9 + x = 121.85
x = 121.85 - 77.9
x = 43.95
What is the magnitude of ?
V
(9,-4)
Answer:
The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.
Step-by-step explanation:
hope it help
Answer:
9.85
Step-by-step explanation:
|v|= √9²+(-4)²
=√81+16
=√97
|v|= 9.85
find the area of E?? i really need this done please and thank you
Answer: 24 square inches
Step-by-step explanation:
To get the whole area Multiply length x width
12 x 7 = 84
Now we get the area of the space in the rectangle
6 x 5 = 30 and multiply that by 2 since there are 2 spaces
in the rectangle.
30 x 2 = 60
84 - 60 = 24
A water balloon is thrown upward from a height of 5 feet with an initial velocity of 35 feet per second. The quadratic function \large h\left(t\right)=-16t^2+35t+5 represents the height of the balloon, h, in feet t seconds after it is thrown. When does the water balloon reach the height of 20 feet? round your answer to the nearest thousandth.
Since, The equation of the height with the time is provided and the balloon is thrown upwards against gravity from 5 feet, The answer is 0.255 sec.
What do you mean by equation?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
What is initial and final velocity?When gravity first exerts force on an object, its initial velocity defines how quickly the object moves. The final velocity, on the other hand, is a vector number that gauges a moving body's speed and direction after it has reached its maximum acceleration.
initial height = 5
final height =20
height to travel =20-5 =15
\(15 = 16t^{2}+35t+5\\16t^{2}+35t-10 =0\)
solving we get, t = 0.255 or -2.44
since, -2.44 is not possible,
t = 0.255 seconds.
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Find the slope of the line y = 5/9x + 7/2
Answer:
5/9 is your answer
Step-by-step explanation:
in how many ways can n identical balls be distributed into r bins such that each bin contains at least two balls
Ways can n identical balls be distributed into r bins such that each bin contains at least two balls are 20 ways.
1 ball in each of 3 boxes: 4 ways
3 balls in one box: 4 ways
2 balls in one box and 1 ball in another box: 3*4=12 ways
There are 20 ways to arrange the balls .
In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.
The combination can also be represented as: –nCr, nCr, C(n,r), Crn
Proof:
nPr = nCr.r!
= [n!/r!(n-r)!].r!
= n!/(n-r)!
Hence the theorem states true.
A permutation is an act of arranging objects or numbers in order. Combinations are the way of selecting objects or numbers from a group of objects or collections, in such a way that the order of the objects does not matter.
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Name That Scenario: Mail Time We've seen many different scenarios, so let's practice identifying our parameter of interest. Write the appropriate symbol for the parameter of interest for each of the following inference procedures. While not required, you may also think about what type of inference procedure (confidence interval or hypothesis test) would be most appropriate. a) A dorm manager would like to estimate the percentage of all mail items received at the dorm that are considered packages, defined as an item that cannot fit in the dorm mailbox. Type Markdown and LaTeX:
α 2
b) A FedEx warehouse manager would like to assess if the average number of packages sent from online retailers to a neighborhood in Champaign is greater than the average number of packages sent from online retailers to a neighborhood in Urbana. Type Markdown and LaTeX:
α 2
c) A bakery sells many products, including cookies \& cakes. The bakery offers both shipping and store pick-up on the products. The bakery manager woulc like to estimate the difference in store pick-up rates between all cookies and all cakes sold by the bakery. Type Markdown and LaTeX:
α 2
d) How long does mail delivery take? In a review of a mail delivery company, the reviewers would like to examine if there is an association between the weight of the package and the delivery time (the time for the package from pickup to delivery). Type Markdown and LaTeX:
α 2
a) The parameter of interest is the percentage of mail items received at the dorm that are considered packages. This can be denoted as p, where p is the proportion of packages out of all mail items received at the dorm. A confidence interval would be most appropriate for this inference procedure.
b) The parameter of interest is the difference in the average number of packages sent from online retailers to a neighborhood in Champaign and the average number of packages sent from online retailers to a neighborhood in Urbana. This can be denoted as μ1 - μ2, where μ1 is the average number of packages sent to Champaign and μ2 is the average number of packages sent to Urbana. A hypothesis test would be most appropriate for this inference procedure.
c) The parameter of interest is the difference in store pick-up rates between all cookies and all cakes sold by the bakery. This can be denoted as p1 - p2, where p1 is the proportion of cookies that are picked up in store and p2 is the proportion of cakes that are picked up in store. A confidence interval would be most appropriate for this inference procedure.
d) The parameter of interest is the association between the weight of the package and the delivery time. This can be denoted as ρ, where ρ is the correlation coefficient between the weight of the package and the delivery time. A hypothesis test would be most appropriate for this inference procedure.
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Use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the convolution integral before transforming. (Write your answer as a function of s.) EN1 Use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix Ш as needed y'-y te sin(t), y(0)-0 y(t)cost +tsint - tcost -e Use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as needed. y"+9y-cos 3t, y(o)-4, y(0)-5 y(t)
It appears to involve Laplace transforms and initial-value problems, but the equations and initial conditions are not properly formatted.
To solve initial-value problems using Laplace transforms, you typically need well-defined equations and initial conditions. Please provide the complete and properly formatted equations and initial conditions so that I can assist you further.
Inverting the Laplace transform: Using the table of Laplace transforms or partial fraction decomposition, we can find the inverse Laplace transform of Y(s) to obtain the solution y(t).
Please note that due to the complexity of the equation you provided, the solution process may differ. It is crucial to have the complete and accurately formatted equation and initial conditions to provide a precise solution.
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risk of home burglary in cul-de-sacs. research published in the journal of quantitative criminology (march 2010) revealed that the risk of burglaries in homes located on cul-de-sacs is lower than for homes on major roads. suppose you want to estimate the true percentage of culde-sac homes in your home city that were burglarized in the past year. devise a sampling plan so that your estimate will be accurate to within 2% of the true value using a confidence coefficient of 95%. how many cul-de-sac homes need to be sampled and what information do you need to collect for each sampled home?
To estimate the true percentage of cul-de-sac homes in a home city that were burglarized in the past year with an accuracy of 2% and a 95% confidence level, a sampling plan needs to be devised.
The plan should include the number of cul-de-sac homes that need to be sampled and the information that needs to be collected for each sampled home.
To determine the sample size, the formula for sample size calculation needs to be used. The formula is n = (z^2 * p * (1-p)) / E^2, where n is the sample size, z is the Z-score, p is the estimated proportion of homes in cul-de-sacs that were burglarized, E is the desired margin of error (2% in this case). The Z-score for a 95% confidence interval is 1.96. The estimated proportion of cul-de-sac homes that were burglarized can be obtained from local crime statistics. Once the sample size is determined, a random sampling method can be used to select the required number of homes from cul-de-sacs. For each sampled home, information such as the location of the home, whether the home was burglarized in the past year, and any security measures in place can be collected.
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evaluate the integral. π/2 csc(t) cot(t) dt π/4
The value of the integral ∫(π/2 to π/4) csc(t) cot(t) dt is -√2 + 1.
To evaluate the integral ∫(π/2 to π/4) csc(t) cot(t) dt, we can use trigonometric identities and integration techniques.
First, let's rewrite the integrand using trigonometric identities:
csc(t) = 1/sin(t)cot(t) = cos(t)/sin(t)Substituting these identities, the integral becomes:
∫(π/2 to π/4) (1/sin(t)) * (cos(t)/sin(t)) dt
Now, we can simplify the expression:
∫(π/2 to π/4) (cos(t)/sin²(t)) dt
To evaluate this integral, we can use the substitution method. Let u = sin(t), then du = cos(t) dt. We need to find the new limits of integration when t = π/2 and t = π/4.
When t = π/2, u = sin(π/2) = 1.
When t = π/4, u = sin(π/4) = 1/√2.
The integral becomes:
∫(1 to 1/√2) (1/u²) du
Simplifying further, we have:
∫(1 to 1/√2) u^(-2) du
Now, we can integrate:
∫(1 to 1/√2) u^(-2) du = [-u^(-1)] evaluated from 1 to 1/√2
Evaluating the definite integral, we have:
[-u^(-1)] from 1 to 1/√2 = [-(1/√2)^(-1) - (-1)^(-1)] = [-√2 - (-1)] = -√2 + 1
Therefore, the value of the integral ∫(π/2 to π/4) csc(t) cot(t) dt is -√2 + 1.
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A ________ is the value of a statistic that estimates the value of a parameter a critical value b standard error c. level of confidence d point estimate Question 2 Mu is used to estimate X True False Question 3 Beta is used to estimate p True False
A point estimate is the value of a statistic that estimates the value of a parameter. Question 2 is false and question 3 is true.
Question 1: A point estimate is the value of a statistic that estimates the value of a parameter.A point estimate is a single number that is used to estimate the value of an unknown parameter of a population, such as a population mean or proportion
Question 2: False
Mu (μ) is not used to estimate X. Mu represents the population mean, while X represents the sample mean. The sample mean, X, is used as an estimate of the population mean, μ.
Question 3: True
Beta (β) is indeed used to estimate the population proportion (p) when conducting hypothesis testing on a sample. Beta represents the probability of making a Type II error, which occurs when we fail to reject a null hypothesis that is actually false. By calculating the probability of a Type II error, we indirectly estimate the population proportion, p, under certain conditions and assumptions.
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Peyton knows that 1/8 means “1 divided by 8.” She uses this to find the decimal equivalent for 1/8
Answer:
Peyton can multiply 1 by 100, to make 100 over 8, and divide 100 by 8 which is 12.5 then dividing by 100 to get .125 which is equal to 1/8
Step-by-step explanation:
Answer: I am assuming the question is asking if Peyton got the decimal equivalent of 1/8 correct. Well, since the question is incomplete, I do not know what Peyton got, however, I can tell you that the decimal equivalent for 1/8 is 0.125
a researcher predicts that practice will improve performance and conducts a one-tailed dependent samples t-test comparing pre-practice performance to post-practice performance. the critical t-value for this test is 1.96. the researcher finds an observed t-value of -7.42. what should the researcher decide?
The researcher should conclude that there is strong evidence which practice improves performance.
The researcher's hypothesis is that practice will improve performance, so they are conducting a one-tailed test.
The critical t-value for this test with a significance level of 0.05 and degrees of freedom is equal to the sample size minus one would be 1.96.
The observed t-value is -7.42 which means that the difference between the pre-practice and post-practice scores is much larger than what would be expected by chance.
This concept suggests that there is strong evidence that practice did indeed improve performance.
For make a decision about the hypothesis,
the researcher needs to compare the observed t-value to the critical t-value.
Since the observed t-value (-7.42) is much smaller in magnitude than the critical t-value (1.96).
The researcher can reject the null hypothesis that there is no difference between pre-practice and post-practice performance.
Therefore, the researcher should conclude that there is strong evidence which practice improves performance.
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Simplify.
2. (32 + (6 - 1). 2] - 10.2
Answer:
(32 + (6 - 1). 2] - 10.2
Step-by-step explanation:
do the math
Answer: Your direct answer would be
−64Smplfy−9.2
1. Is x = 2, y = 6, z = 1 a solution to the system of equations? Explain.
1.5x + y-z = 8
x + 3y = 18
2y + z = 13
2. If y = 6, find the values of and z.
x
4x+y=z=15
x + 2y + z = 38
The solution to the system of equation is x = 6, y = 4, z = 5
The equation is
1.5x + y - z = 8
x + 3y = 18
2y + z = 13
From this we have,
y = 8 - 1.5x + z
x + 3y = 18
2y + z = 13
x + 3(8 - 1.5x + z) = 18
2(8 - 1.5x + z) + z = 13
Apply the Distributive Property
x + 24 - 4.5x + 3z = 18
16 - 3x + 2z + z = 13
Combine like terms
-3.5x + 24 +3z = 18
16 - 3x + 3z = 13
Rearrange variables to the left side of the equation
-3.5x + 3z = 18 - 24
-3x + 3z = 13 - 16
Subtract the two equation
-3.5x + 3z - (-3x + 3z ) = 18-24 - ( 13-16)
-3.5x + 3z + 3x -3z = 18 - 24 - 13 + 16
-3.5x + 3x = 18 - 24 - 13 + 16
x = 6
Substitute the value of x in one of the equation
-3×6 + 3z = 13 - 16
-18 + 3z = -3
3z = 15
z = 5
Now put the value of x and z
y = 8 - 1.5x + z
y = 8 - 1.5×6 + 5
= 8 -9 + 5
= 4
Therefore the solution to the system of equation is x= 6, y = 4 and z = 5
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