find the probability that a sample of 33 randomly selected adults in us has a mean weight greater than 151.52 lbs.
Answers
The probability that a sample of 33 randomly selected adults in the US has a mean weight greater than 151.52 lbs is:
38.21%.
To find the probability that a sample of 33 randomly selected adults in the US has a mean weight greater than 151.52 lbs, we need to use the Central Limit Theorem. Assuming that the population standard deviation is known or the sample size is large enough (greater than or equal to 30), the distribution of the sample means will be approximately normal.
First, we need to calculate the standard error of the mean (SEM) using the formula:
SEM = standard deviation / square root of sample size
Let's assume that the population standard deviation is 30 lbs (this is just an estimate) and the sample size is 33. Then,
SEM = 30 / sqrt(33) = 5.22 lbs
Next, we need to calculate the z-score using the formula:
z = (sample mean - population mean) / SEM
Let's assume that the population mean is 150 lbs (again, just an estimate). Then,
z = (151.52 - 150) / 5.22 = 0.30
Finally, we can use a standard normal distribution table or calculator to find the probability that the z-score is greater than 0.30. This is equivalent to finding the area under the standard normal curve to the right of 0.30. Using a standard normal distribution table or calculator, we find that the probability is approximately 0.3821 or 38.21%.
Therefore, the probability that a sample of 33 randomly selected adults in the US has a mean weight greater than 151.52 lbs is approximately 38.21%.
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Related Questions
Why should this apparatus be allowed to stand before starting the experiment
Answers
This apparatus should be allowed to stand before starting the experiment for several reasons. Firstly, this allows any temperature or pressure changes to stabilize and ensure accurate readings during the experiment.
Additionally, any potential errors or malfunctions in the apparatus can be detected and addressed before the experiment begins, preventing any wasted time or materials. Allowing the apparatus to stand also ensures that any residual substances from previous experiments are eliminated, preventing contamination and inaccurate results. Overall, it is essential to allow the apparatus to stand to ensure the validity and reliability of the experiment's results.
The apparatus should be allowed to stand before starting the experiment to ensure stability, temperature equilibrium, and to avoid measurement errors. Allowing it to stand helps prevent disturbances and inaccuracies in the results, providing more reliable data for analysis.
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i need to write the expression as the sine of an angle Number 8
Answers
sin (60° - 20)°
sin (40°)
Explanation:Note that:
sin(A - B) = sinAcosB - cosAsinB
The given trigonometric expression is:
sin 60° cos 20° - cos 60° sin 20°
Applying the addition rule of trigonometry written above:
sin 60° cos 20° - cos 60° sin 20° = sin(60° - 20°)
This can also be written as sin (40°)
PLEASE HELP ME IM DESPERATE! Given the number of sides of a polygon, what is the maximum number of right angles it can have? Specifically, what is the maximum number of right angles in a 100-sided shape?
Answers
Answer: 5
Step-by-step explanation: Sum of Angles = 900'. 6 right angles
= 540', leaving 360', which is impossible.
Marta has 2 meters 80 centimeters of cotton cloth and 3 meters 87 centimeters of linen cloth. What is the total length of both pieces of cloth?
Answers
Answer:
6m 67cm
Step-by-step explanation:
HELLP!!!! Ms.Smith, the principal of a local middle school, wants to find out the favorite after-school activity of 7th grade students in her school. which population should she sample to answer her question?
A) 7th graders in the school
B) parents of 7th graders in the school
C) other 7th grade teachers in the school
D) all students in the school
Answers
The correct population should she answered is is A) 7th graders in the school
To find out the favorite after-school activity of 7th grade students, Ms. Smith should sample the population directly related to the question. In this case, the most appropriate population to sample would be:
A) 7th graders in the school
By sampling the 7th graders in the school, Ms. Smith can directly gather information about their favorite after-school activities. This population consists of the students themselves who engage in the activities, and they would have first-hand knowledge and experience of their preferences.
B) Parents of 7th graders in the school might provide some insights, but they may not accurately represent the activities chosen by the students themselves.
C) Other 7th-grade teachers in the school may have some observations, but it may not reflect the preferences of the entire 7th-grade student population.
D) Sampling all students in the school would be broader than necessary and may not specifically address the favorite after-school activities of 7th-grade students.
Therefore, option A) 7th graders in the school is the most suitable population for Ms. Smith to sample in order to answer her question about the favorite after-school activity of 7th-grade students.
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Ada' hitory teacher wrote a tet for the cla. The tet i 26 quetion long and i worth 123 point. Ada wrote two equation, where m repreent the number of multiple choice quetion on the tet, and repreent the number of eay quetion on the tet. M=26
3m8=123
Answers
There are 9 questions on the test.
Let, the number of multiple-choice questions on the test = m
the number of essay questions on the test = s
m + s = 26 .......(1)
So, We are also told that multiple choice is worth 3 points each, so the total number of points for m questions will be 3m.
As essays are worth 8 points each, so the total number of points for s questions will be 8s.
3m + 8s = 123 .......(2)
Now we will use the substitution method to solve a system of linear equations.
From equation (1) we will get,
m = 26 -s
Substituting this value in equation (2) we will get,
3 * (26- s) + 8s =123
78 - 3s + 8s = 123
5s = 123 -78
5s = 45
s = 45/5 = 9
So, there are 9 questions on the test.
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The complete question is:
Ada’s history teacher wrote a test for the class.
The test is 26 questions long and is worth 123 points.
Ada wrote two equations, where m represents the
number of multiple choice questions on the test, and
s represents the number of essay questions on the test.
m+s= 26
3m + 8s = 123
How many essay questions are on the test?
Simplify
sec x - tan x sin x
Answers
Answer:
cos x
Step-by-step explanation:
sec x - tan x sin x
\(\frac{1}{cosx} - \frac{sinx}{cosx} * sinx\\\\\frac{1}{cosx} - \frac{sin^{2}x}{cosx}\\\\\frac{1-sin^{2}x}{cosx} \\\\\frac{cos^{2}x }{cosx} \\\\cosx\)
HELP WILL MARK BRAINLIEST
Answers
Answer:
3*3*3-1*1
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
3x3=9
1x2=2
so 9-2=7
The distance from Earth to the Sun is approximately 9 x 10exponetn7 miles. The distance from Earth to the moon is approximately 2 x 10exponent 5 miles. Approximately how many times the distance from the Earth to the Moon is the distance from Earth to the Sun? 0 18 45 222 450
Answers
450 miles
Explanation
Step 1
Let
\(\begin{gathered} \text{distance(earth-sun)}=9\cdot10^7miles \\ \text{distance(earth-moon)}=2\cdot10^5miles \end{gathered}\)Step 2
how many times the distnce (E-M) is the distance(E-S)
\(\frac{ES}{EM}=\frac{9\cdot10^7}{2\cdot10^5}=\frac{9}{2}\cdot10^{7-5}=4.5\cdot10^2miles\)so, the distance is
\(4.5\cdot10^2miles=4.5\cdot100=450\)I hope this helps you
Linda had 7/12 bag of dog food, at home. If she went to the store and bought 3 times that, how much did she buy?
EXPLAIN HOW U GOT
Answers
Answer:
1 3/4 bags
Step-by-step explanation:
7/12 x 3/1 = 7/4 = 1 3/4
Hope that helps!
Answer:
7/12 times 3 is 1.75 aka 1 3/4 or 7/4
Step-by-step explanation:
Lines BC and DE are both vertical.
What is the length of AD?
Answers
Answer:
The answer is 6
Which equation is true when p=0.6
A) p + 6 = 1.8
B) 10p = 6
C) 0.6p = 10
D) p - 1 = 0.4
Answers
Answer:
B
Step-by-step explanation:
Its not A because when you plug in 0.6 in for P it gives you 6.6=1.8. (0.6)+6=1.8
Its B because when you plug in 0.6 in for P it gives you 6=6.
10(0.6)=6
Its not C because when you plug in 0.6 in for P it gives you 0.36=10.
0.6(0.6)=10
Its not D because when you plug in 0.6 in for P it gives you -0.4=0.4.
(0.6)-1=0.4
How do I solve this question?
Answers
Answer:Find a pair of integers whose product is c c and whose sum is b b
Step-by-step explanation:
Pls Help this is due
Answers
ΔHTO is mapped to ΔCDL by reflection and translation. The two triangles are congruent. This can be verified by their side lengths
Completing the transformation statementThe triangles are given as
triangles ΔHTO and ΔCDL
On the graph, we can see that the triangles are on adjacent sides of the positive x-axis
This means that we can reflect one of the triangles (say triangle HTO)
After reflecting HTO, we then translate HTO to CDL to map both triangles
Because reflection and translation are rigid transformations, the triangles are congruent
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what is 10.7+ 2 times
30.9
Answers
Answer:
10.7 + 2 + 10.9 10.9 x 30.9 is 336.81
Step-by-step explanation:
BIG BRAIN POWER
Why can we consider the sample mean in random samples of size n from a given population to be a random variable?.
Answers
The sample mean is indeed a random variable because the value of the sample mean depends on the characteristics of the specific random sample. The sample size multiplied by the population mean yields the expected value of the sample sum.
What is random?
The lack of pattern or predictability in events, whether it be apparent or real, is referred to as randomness. Sometimes there is no order or discernible pattern or combination in a random series of events, symbols, or processes.
What is mean?
A collection of two or more numbers' mean is simply their simple mathematical average. There are various methods for calculating the mean for a given collection of numbers, including the arithmetic mean approach, which adds up the series' values, and the geometric mean method, which averages a group of products. The majority of the time, all of the fundamental approaches to calculating a basic average, however, yield the same rough result.
As the population is a huge number and not linear in growth we prefer to take random variable.
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A GPA is usually an example of a
Answers
GPA stands for “grade point average”, where it calculates the average of your grades.
Answer:
A GPA is the average of all your class grade scores combined.
Find the midpoint of Segment JL if J is located at (4, -2) and L is located at (7, 4)
Answers
Answer:
no u
Step-by-step explanation:
Answer:
The midpoint is ( 11/2, 1)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
( 4+7)/2 = 11/2
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
( -2+4)/2 =2/2 =1
The midpoint is ( 11/2, 1)
a picture is 5 inches wide and 7 inches long. a photographer enlarges it so it is 17.5 inches wide and 24.5 inches long. what scale factor was used to enlarge the picture?
Answers
The scale factor by which the picture has been enlarged is 3.5
It is given that the width of the picture is 5 inches and the length of the picture is 17.5 inches.
Length (l) = 7 inches
Width (b) = 5 inches
The picture is a rectangle, so the area of the picture will be the product of the length and the width, that is Area = 7 * 5 = 35 square inches.
The picture has been enlarged, let k be the scale factor that has been used to enlarge the picture.
The width has been enlarged to 17.5 inches
And the length has been enlarged to 24.5 inches
So, 5 * k = 17.5 and 7* k = 24.5
After solving these two equations, we get
k = 3.5
So, the scale factor by which the picture has been enlarged is 3.5
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Answer:
Step-by-step explanation:
To get a larger image - you multiply the original dimensions.
To find the scale factor - divide each enlarged dimension by its matching original dimension.
17.5 divided by 5 = 3.5
24.5 divided by 7 = 3.5
This is the scale factor for the enlargement.
The answer options are fractions - 17.5/5 = 3.5
so that is the correct choice.
inverse function of f(x)= 4/x
Answers
Answer: \(y=\frac{4}{x}\)
Step-by-step explanation:
To find the inverse function, you want to replace y with x and x with y, and then solve.
\(y=\frac{4}{x}\) [replace y with x and x with y]
\(x=\frac{4}{y}\) [multiply bith sides by y]
\(xy=4\) [divide both sides by x]
\(y=\frac{4}{x}\)
Now, we know the inverse is \(y=\frac{4}{x}\).
Rafael writes an expression to represent “a number, n, decreased by thirty-one.” Then he evaluates that expression if n = 29. Which statements are true about the expression and its evaluation? Check all that apply.
The correct expression is 31 minus n.
This is a subtraction expression.
This is an addition expression.
To evaluate, substitute 29 for the variable in the expression.
To evaluate, substitute 31 for the variable in the equation.
To evaluate the expression, add 31 to 29.
The correct expression is n minus 31.
To evaluate the expression, subtract 31 from 29.
Answers
Answer:
The correct expression that can be represented by n decreased by thirty-one is n - 31
let
The unknown number = n
n decreased by thirty-one
= n - 31
If n = 29
n - 31
= 29 - 31
= -2
The correct expression is 31-n.
False
This is a subtraction expression.
True
This is an addition expression.
False
To evaluate, substitute 29 for the variable in the expression
True
To evaluate, substitute 31 for the variable in the equation.
False
To evaluate the expression, add 31 to 29.
False
The correct expression is n - 31
True
To evaluate the expression, subtract 31 from 29.
True
Step-by-step explanation:
the answer is a b e g f hop this helps u
14 is what % of 89 if you choose a random answer you will be reported
Answers
Answer:
15.73 %
Step-by-step explanation:
Given :-
14 is what % of 89 .For finding% :-
→ 14/89 * 100
→ 15.73 %
Answer:
15.73% to the nearest hundredth.
Step-by-step explanation:
14/89 = 0.157303
Now multiply by 100
This gives 15.7303 %
A car repair company charges a $15 initial fee plus an hourly rate for services.
Based on this table, what is this hourly charge for services?
Answers
Answer:
pls Mark as billant
Step-by-step explanation:
If the fixed cost is rupess 15,it can be removed from the two charge to give the charge of only two hours,which is rupess 150
This mean the hourly charge is rupess 150÷2,which is rupess 75
Myra is evaluating the expression –31. 7 4. 5x, when x = 2. 1. -31. 7 4. 5(2. 1) –27. 2(2. 1) –57. 12 What was Myra’s error? Myra should have multiplied -31. 7 and 2. 1 first. Myra should have multiplied 4. 5 and 2. 1 first. Myra should have subtracted -27. 2 and 2. 1 first. Myra should have added -31. 7 and 2. 1 first.
Answers
This is just an algebraic problem, the correct option is:
"Myra should have multiplied 4.5 and 2.1 first."
How to evaluate an expression?
Here we want to evaluate the expression:
-31.7 + 4.5*x
in x = 2.1
This just means that we need to replace x by 2.1 in the given equation.
Now, what Myra does is:
-31.7 + 4.5*2.1 = -27.2*2.1
So she took the sum between -31.7 and 4.5 first, this is her mistake, you only would do that if the expression was:
(-31.7 + 4.5)*2.1
But in our expression:
-31.7 + 4.5*2.1
The first thing you need to solve is the product in the second term, so we get:
-31.7 + 4.5*2.1 = -31.7 + 9.45 = -22.25
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Solve equation by using the quadratic formula.
2x2 - 5x = 7
Answers
Let's solve your equation step-by-step.
2x2−5x=7
Step 1: Subtract 7 from both sides.
2x2−5x−7=7−7
2x2−5x−7=0
2x2+−5x+−7=0
Step 2: Use quadratic formula with a=2, b=-5, c=-7.
x=−(−5)±√(−5)2−4(2)(−7)/2(2)
x=5±√81/4
Answer:
x= 7/ 2
or x=−1
the same thing
plsssss help meeeeeeee
Answers
Answer:
The value of x is 16
Step-by-step explanation:
In the right triangle of the length of the hypotenuse c and the lengths of two legs a and b
a² + b² = c² ⇒ Pythagoras TheoremIn the given figure
∵ The right triangle has two legs of lengths 8√2, 8√2
∴ a = 8√2 and b = 8√2
∵ It has a hypotenuse of length x
∴ c = x
→ Substitute them in the rule above
∵ (8√2)² + (8√2)² = x²
∵ (8√2)² = (8)²(√2)² = (64)(2) = 128
∴ 128 + 128 = x²
∴ 256 = x²
→ Take a square root for both sides
∵ √256 = √(x)²
→ The root will cancel power 2 of x
∴ 16 = x
∴ The value of x is 16
Just do these two problems for me and I’ll be so happy
Answers
Answer:
See below
Step-by-step explanation:
5) y = x + 7
6) y = -x + 1
Two lines that intersect and are not parallel
Answers
Answer:
Perpendicular
Step-by-step explanation:
"Two distinct lines intersecting each other at 90° or a right angle are called perpendicular lines."
What is the equation of the following line written in general form?
Answers
Answer:
add 1;6 and 6,2 hope this helps ;)
One of the two numbers ends in zero. If you cross out the zero, you get the second number. Find these numbers if their sum is 363.
Answers
Answer:
330 + 33 = 363
Step-by-step explanation:
The answers you are looking are 330 and 33.
If you were to take 330 and 33 and add them together, it would equal 363. The question also states if you were to take the 0 off of the first number (330), youd get your second number (33) to equal the sum given.
I hope this helps!