The expected value and the standard error of the sample mean derived from a random sample of 2 pizzas is 0.57
The statistic known as the sample mean is created by arithmetically averaging the values of a variable in a sample.
The sample mean is an estimator of the expected value if the sample is taken from probability distributions with a common expected value.
given
Size of the pizzas 16- inch
normal distribution mean is 16 inch
standard deviation= 0.8
μ=16
σ=0.8
n=2
The standard error of the sample mean derived from a random sample of 2 pizzas is:
σₓ= σ / [tex]\sqrt{n}[/tex]
σₓ = 0.8 /[tex]\sqrt{2}[/tex]
σₓ=0.57
The standard error of the sample mean derived from a random sample of 2 pizzas is 0.57
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17<9+X
O A. x> 8
OB. x > 26
O C. x < 26
O O
D. x < 8
Answer:
A
Step-by-step explanation:
17 < 9 + x ( subtract 9 from both sides )
8 < x , then
x > 8
46 over48 Are the ratios and proportional? 69 over 84 (1 point) A Yes, because they both reduce to the equivalent fraction 1 3 B Yes, because the cross products 46 84 and 48.69 are equal. C No, because one has a quotient of 06 and the other has a quotient of 0.571428- 2 D No, because one ratio reduces to 3 3 7 2 and the other reduces to
The ratios aren't proportional as D. No, because one ratio reduces to different values.
What is a ratio?A ratio is simply used to show the comparison between the numbers that are illustrated in a data.
In this case, the fractions that are given include 46/48 and 69/84.
To have an equivalent ratio, it's important to have the numerator and the denominator divided by the same number.
In this case, this isn't possible with 46/48 and 69/84.
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[6-34] the manufacturer of a new fiberglass tire claims that its average life will be at least 40,000 miles. to verify this claim, sample of 15 tires are tested. sample mean was 41.1 (in 1000 miles), and sample standard deviation was 2.50. assuming the measurements were random sample from a normal distribution, calculate 95% one-sided confidence interval for true mean tire life. choose lower-bound or upper-bound, whichever is appropriate. (round to 2 decimals.)
The assumption that the sample means follow a roughly normal distribution is used to calculate a confidence interval for a population mean with a known standard deviation.
A confidence interval gives a range of values that will probably include the actual mean. For example, let's say that our sample has a mean of x=10 and we have generated the 90% confidence interval (5, 15), with EBM = 5. For instance, we might not be able to speak to everyone in Colorado if we wanted to find out the typical age of Colorado residents who enjoy bananas. However, we could conduct in-depth interviews with a representative sample and make an educated guess or calculation to provide us with a range of ages.
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The width of a desk is 25 inches, or 63.5 centimeters. If a measurement in inches varies directly with a measurement in centimeters, what is the length, in centimeters, of a notebook that is 11 inches long? Round your answer to the nearest hundredth, if necessary.
2.54 centimeters
4.33 centimeters
27.94 centimeters
47.63 centimeters
The notebook's length in centimeters is 27.94 cm.
Since we are provided that
The desk's width is 25 inches.
Convert into cm.
There is a stated measurement of 25 inches = 63.5 cm.
As previously stated, a measurement in inches differs directly from a measurement in centimeters.
As a result, we have said that
If the notebook's length is 11 inches
Let 'x' be the length of the notebook in cm.
As a result of the question,
[tex]\frac{25}{63.5} = \frac{11}{x}[/tex]
[tex]x=\frac{698.5}{25}[/tex]
x = 27.94 cm
Hence the length of note book is 27.84 cm.
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Solve Equation
Oct 12, 11:23:17 PM
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A group of friends wants to go to the amusement park. They have $134.50 to
spend on parking and admission. Parking is $14.50, and tickets cost $24 per
person, including tax. How many people can go to the amusement park?
Answer: You can only bring 5 people maximum.
Step-by-step explanation:
1) Set up the equation
(>= greater than or equal to)
134.50 >= 24x +14.5
We set up the equation here with 24x as x is the amount of people. 14.5 is the starting value as it never changes. 134.50 is the amount that they can't overspend.
2) Solve the equation
134.50 >= 24x +14.5
120>= 24x
5>= x
3) Solve
You can only bring 5 people maximum.
3(4v - 6) - 4( v + 6) simplify use distributive property
Answer:
8v - 42
Step-by-step explanation:
Simplify:Distributive property: a* (b + c) = (a*b) + (a*c)
3(4v - 6) - 4(v + 6) = (3*4v) + (3*(-6) ) + (-4*v + (-4)*6) )
= 12v - 18 - 4v - 24
= 12v - 4v - 18 - 24
Combine like terms [ 12v & (-4v) ] and combine constants [ (-18) & (-24)]
= 8v - 42
In September, Liberty Elementary School collected 32,537 cans for a fundraiser. In October, they collected 207,492 cans.
a. About how many cans were collected during September and October? Round to the nearest thousand.
b. Which of these estimates will produce a more accurate answer rounding to the nearest thousand or rounding to the nearest ten thousand?
Rounding off to nearest ten thousand gives the most accurate answer as 240,000 cans.
Given that, the number of cans collected during September = 32,537 and the number of cans collected during October = 207,492.
What is rounding off numbers?Rounding numbers means adjusting the digits (up or down) to make rough calculations easier. The result will be an estimated answer rather than a precise one.
a) Now, the number of cans were collected during September and October = 32537+207492 = 240,029
To the nearest thousand is 240,000
b) Rounding 32,537 to the nearest thousand is 32000 and rounding 207,492 to the nearest thousand is 207,000
Sum = 32000+207000 = 239,000
Rounding 32,537 to the nearest ten thousand is 30000 and rounding 207,492 to the nearest ten thousand is 210,000
Sum = 30000+210,000 = 240,000
Therefore, rounding off to nearest ten thousand gives the most accurate answer as 240,000 cans.
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5/7 times 44.4
Two answers
Answer:
2x44/7
Step-by-step explanation:
Answer:
Step-by-step explanation:
well it very confusing to some but,...31.7142857143 and i don't know the other one :) ;).
3) (p3) consider the proof for the following theorem: there is no smallest integer.assume that there exists a smallest integer, r. since r is an integer, it can be negative. since there is no smallest negative integer and r can be negative, this contradicts the assumption that there is no smallest integer. what is the mistake in this proof?
The mistake is that, what we have to prove is taken as a known fact.
A theorem is a statement that can be proved or has already been proved true by a logical argument.
"there is no smallest negative integer" is taken as a fact
but it is the part of the theorem that we have to prove,
Therefore, we can conclude that the mistake in the given proof is what we have to prove is taken as a known fact.
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Louis and Michael met up for lunch. When they were done,
Louis traveled 4 blocks east and Michael traveled 1 blocks west. How many blocks away from Louis was Michael?
Answer:
five blocks away
Step-by-step explanation:
because 4 +1 =5
please if it is wrong let me know so I can correct
A sports shop had a bike for sale for NOK 7,000. The price of the bike was reduced twice. First with 15%. Then with 30%.
a) How much did the illness cost now?
b) By how many percent has the price been reduced in total?
use the 68-95-99.7 rule to find the proportion of runners whose body weight is between 48.7 and 67.9 kg.
Based on the complete question, the Normal Distribution Graph will resemble the one in the figure attached.
Also, note that using the 68-95-99.7 rule, the proportion of runners between 48.7 and 67.9 kg is 0.8385.
What is the 68-95-99.7 rule?
The 68-95-99.7 rule, also known as the empirical rule, is a statistician's shorthand for remembering the percentage of values in a normal distribution that fits within an interval estimate: 68%, 95%, and 99.7% of the variables lie within one, two, and three standard deviations of the mean, correspondingly.
To compute the proportion of runners whose body weight is between 48.7 and 67.9 kg with the help of the 68-95-99.7 rule:
We know given that:
The mean = 63.1 and
the standard deviation (SD) = 4.8.
Where the weight is 67.9kg, we know that the distance between this and the mean is 4.8, that is;
67.9 - mean
= 67.9 - 63.1
= 4.8 [1*SD]
In the same way,
48.7 corresponds to 48.7-63.1 = -14.4 [ -3*SD]
Hence, based on the rule,
the probability of the weight occurring between -1*SD and 1*SD = 68%; and the probability of the weight occurring between -3*SD and 3*SD = 99.7%.Therefore, the probability of the weight occurring between -3*SD and 1*SD = (99.7+68)/2= 83.85%
= 0.8385.
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Full Question:
A study of elite distance runners found a mean body weight of 63.1 Kilograms (kg), with a standard deviation of 4.8kg.
Assuming the distribution of weights is approximately normal, make a sketch of the weight distribution (like the one below) with a horizontal axis marked in kilograms.Use the 68-95-99.7 rule to find the proportion of runners whose body weight is between 48.7 and 67.9 kga bus comes by every 14 minutes. the times from when a person arives at the busstop until the bus arrives follows a uniform distribution from 0 to 14 minutes. a person arrives at the bus stop at a randomly selected time. round to 4 decimal places where possible.
a) The mean of this distribution is 7 min
b) The standard deviation is 4.0414 min
a) The mean is the midpoint between the ends or 7 min
variance is (b-a)^2/12 or 196/12 or 16.3333 min
b) standard deviation is sqrt(V)= 4.0414 min
the complete question is
a bus comes by every 14 minutes. the times from when a person arives at the bus stop until the bus arrives follows a uniform distribution from 0 to 14 minutes. a person arrives at the bus stop at a randomly selected time. round to 4 decimal places where possible.
a) The mean of this distribution is
b) The standard deviation is
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Two gongs strike at intervals of 22 and 77 minutes respectively. At what time will
they strike together again if they start simultaneously at 12 noon ?
Click here to enter answer
The time that both gongs will strike together again after striking simultaneously at 12 noon is 2 : 34 pm.
What time would the gongs strike together?The time the gongs will strike together again can be determined by calculating the least common multiple of 22 and 77. The multiple of a number is the product of a number and another number. For example, a multiple of 2 is 10. The least common multiple is the smallest multiple that is common to two or more numbers.
The least common multiple would be determined using the prime factorisation method.
Prime factors of 22 = 2 x 11
Prime factors of 77 = 7 x 11
The least common multiple = 2 x 7 x 11 = 154
The next time both gongs would strike at the same time is 154 minutes or 2 hours 34 minutes
12 noon + 2 hours + 34 minutes = 2 : 34 pm
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Help with these 3 questions!!
Brainliest/30pts
Answer: 1.c 2.a 3.c
Step-by-step explanation:
Answer:
first picture
1 and 2 are congruent because they are a pair of corresponding angles
second picture
A = B
This is because they are alternate exterior angles and they equal the same thing
third picture
angle 5
it is also an alternate interior angle
Allison’s family spent $38.78 on school supplies. If Allison paid 1/4 of the bill, how much did she pay?
Answer:$9.695
Step-by-step explanation:
1/4 is 0.25 so this means Allison is paying 25% of the bill. Then all you have to do is times 38.78 with 0.25 and you get $9.695 or $9.70.
Answer:
$9.70
Step-by-step explanation:
You can do this question several way on a calculator:
1/4 × 38.78
OR
.25 × 38.78
OR (I like this one)
38.78 ÷ 4
All these calculations will give you the result 9.695
Since this is a real-world money problem, we would round this number to 9.70.
Allison paid $9.70.
how to simplify -7 ( 3x - 7y) ?
If x and y are in direct proportion and y is 56 when x is 7, find y when x is 9
The variable y has a value of 72 when x equals 9
How to determine the value of y from xThe variation statement is given as
x and y are in direct proportion
This means that
y = kx
Where k represents the constant of variation
Using the values given from the question, we have
(x, y) = (7, 56)
This gives
56 = 7k
Divide both sides by 7
k = 8
So, we have
y = 8k
The value of y when x = 9 is calculated as
y = 8 * 9
Evaluate the products
y = 72
Hence, the value of y is 72
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Sandi’s commission rate is 5.6%. She received a commission of $2,412 on vacation packages she sold in November. What is the amount of money in vacation packages that Sandi sold? Round to the nearest dollar.
Answer:
$43071
Step-by-step explanation:
Commission = 5.6%
So $2,412 represents 5.6% of total value of sold vacation packages
Image the numbers as ratios:
$2,412 : 5.6%
X : 100%
To get from 5.6% to 100% you can divide by 5.6 and then multiply by 100
So to find X you do:
(2,412 / 5.6)*100 = 43071.428…
Now round the answer to nearest dollar:
43071.428… = $43071 (to nearest dollar)
expand and simplify 7(x-2)-2(x-3)
Answer:
5x-8
Step-by-step explanation:
7x-14-2x+6
-14+6=-8
7x-2x=5x
Aisha is working two summer jobs, making $7 per hour babysitting and $8 per hour landscaping. last week aisha worked 2 more hours babysitting than hours landscaping and earned a total of $134. write a system of equations that could be used to determine the number of hours aisha worked babysitting last week and the number of hours she worked landscaping last week. define the variables that you use to write the system.
Answer:
Let b represent the number of hours babysitting, and let l be the number of hours landscaping. We have this system of equations:
[tex]7b + 8l = 134[/tex]
[tex]b = l + 2[/tex]
The nth term of a sequence is 50-n2. Find the thurd term of the sequence.
The third term of the sequence is 41.
Given,
Tn = 50 - n²
Tn = 50 - (3)²
Tn = 50 - 6
Tn = 41
As the third term is required substitute the value in the main equation 50 - n² which gives T3 = 41.
As the third term is necessary, replace 50 - n² in the main equation, yielding T3 = 41.
Arithmetic Progression is a series of numbers in which the difference between consecutive terms is constant. One approach is to calculate the arithmetic mean. To do this, sum all the values and divide the sum by the number of values. For arithmetic sequences, use the expression a = a1 + (n1) d. where a is the term, a1 is the difference of the first term, and d is the difference of the subsequent term.
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Will the product of negative 1/3 ⁵⁰ B positive or negative? How do you know?
the product of negative 1/3 ⁵⁰
The expression is :
[tex](-\frac{1}{3})^{50}[/tex]Since the product of negative to negative is positive
and negative x negative x negative = negative
Thus, if we multiply the negative upto odd number times the resultant will be negative
if we multiply the negative upto even number times the resultant will be positive
In the given expression we multiply (-1/3) upto 50 times
50 is the even number so the the resultant value will be positive
Answer : Positive
becasue if we multiply the negative upto odd number times the resultant will be negative & if we multiply the negative upto even number times the resultant will be positive
The number of days, d, taken to harvest the corn in a field is inversely proportional to the number
of men, m, who help.
1. Explain what happens to the number of days taken to harvest the corn if the number of men is
doubled.
What percentage of this shape is shaded?
Answer:
Answer:
Step-by-step explanation:
There are 9 squares filled halfway, and 5 squares filled completely.
9 x 0.5 = 4.5
4.5 + 5 = 9.5
There are 25 squares in the shape.
9.5 / 25 = 0.38
38% of the square is shaded.
A. Use inductive reasoning to predict the next line in this sequence of computations. Then use a calculator or perform the arithmetic by hand to determine whether your conjecture is correct.B.Make a conjecture by predicting the correct numbers in the line below.
Answer: Following the pattern, the prediction for the next numbers is as follows:
[tex]\begin{gathered} 9\times9+7=88 \\ 98\times9+6=888 \\ 987\times9+5=888,8 \\ 9876\times9+4=888,88 \\ 98765\times9+3=888,888 \end{gathered}[/tex]Confirmation by calculator use:
[tex]\begin{gathered} 98,765\times9+3=888,888 \\ 888,885+3=888,888 \end{gathered}[/tex]Therefore the predicted numbers are the correct one.
Which value does NOT represent the shaded portion of the model shown? A 3/5 B. 0.3 C. 60% D. 0.6
Answer:
B
Step-by-step explanation:
All the rest = 3/5, 3 shaded out of 5
:]
jimmy read 2/15 of a book on Monday, 1/3 on Tuesday, 2/9 on Wednesday and 3/4 of the remainder on Thursday. If he still had 14 pages left to read on Friday, how many pages were there in the book?
The total number of pages in the book is 180.
Total number of pages:
It refers the number of pages in the prescribed book.
And if we want to find the total number of pages, then we have to add the read pages and the remaining pages.
Given,
Jimmy read 2/15 of a book on Monday, 1/3 on Tuesday, 2/9 on Wednesday and 3/4 of the remainder on Thursday. If he still had 14 pages left to read on Friday.
Here we need to find the total number of pages in the book.
Let us consider x be the number of pages in the book.
The portion of book read by Jimmy on Monday is 2/15
The portion of book read by Jimmy on Tuesday is 1/3
The portion of book read by Jimmy on Wednesday is 2/9
The portion of book read by Jimmy on Thursday is 3/4
And the remaining pages to read on Friday is 14
So, the total of all is:
=> x (2/15 + 1/3 + 2/9)
=> x (6 + 15 + 10)/45
=> 31x/45
So, for Thursdays, he reads 3/4 of the remainder of the book.
He has (1 - 31/45)x left that is 14x/45.
So, he reads 3/4 of this; which is
=> 3/4(14x/45) = 42/180x.
Therefore, until Thursday he has read
=> 31/45x + 42/180x.
We know that here 180 would be a common denominator;
Now we have to convert these fractions,
Then we have,
124/180x + 42/180x = 166/180x
Up to this point, he has 14 pages left;
Therefore, this means he has read 14 pages less than x, the total number of pages.
Then the given equation is written as,
166/180x = x-14
0 = 14/180x - 14
Adding 14 to each side gives us, then we get,
14 = 14/180x
14(180)/14 = x
180 = x
Therefore, there are 180 pages in the book.
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HELP ASAP (100 POINTS)
The equation for the line of best fit for change in temperature, y, to amount of snow, s, is given by ŷ = − 2.6s + 1.1. On Friday, the observed amount of snow was 1.3 inches and the temperature change was 1.2 degrees. Find and interpret the residual.
1.08; The line of best fit underpredicts the temperature change.
−1.08; The line of best fit overpredicts the temperature change.
−3.48; The line of best fit overpredicts the temperature change.
3.48; The line of best fit underpredicts the temperature change.
Answer:
3.48; The line of best fit underpredicts the temperature change.Step-by-step explanation:
ŷ = − 2.6s + 1.1.
residual value = Measured value - Predicted value
Measured value = actual y-coordinate of the point, y
Predicted value = value of y from the equation, y1
residual value = (actual y-coordinate of the point, y) - (value of y from the equation, y1)
residual value = y - y1
For s = 1.3
y = 1.2
value of y from the equation, y1:
y1 = -2.6*(1.3) + 1.1
y1 = -3.38 + 1.1
y1 = -2.28
residual value = y - y1
residual value = 1.2 - -2.28
residual value = 1.2 + 2.28
residual value = 3.48Interpretation:
Since the predicted value is far less than the observed value, the line of best fit underpredicts the temperature change.
Answer:
3.48; The line of best fit underpredicts the temperature change.
Step-by-step explanation:
i took the test :)
Standard to slope intercept form
Answer: y = -3x - 2
Step-by-step explanation:
slope intercept form: y=mx+b