Suppose that you are attempting to estimate the annual income of 1700 families. In order to use the infinite standard deviation formula, what sample size, n, should you use
Answer:
Sample size should be less than 85
Step-by-step explanation:
Sample size should be less than 85
Step-by-step explanation:
To use the infinite standard deviation formula, n has to be <= (0.05)(1700)
n <= 85
So the sample size has to be less than 85
In another way too,
n = sample size
N = population size
For population, we multiply correction factor to the infinite standard deviation
F is <= 0.05
[tex]n/{N} <0.05[/tex]
n<0.05x1700
n<85
Sample size should be less than 85
Apply the distributive property to Factor
and the greatest common Factor 44+48
The product of two integers is -40. If
the sum of the two integers is -3, what
are the two integers?
Answer:
-20
Step-by-step explanation:
no cap
Graph the linear function f(x) = 3 – 6x .
Answer:
put one point at (0,3)
put another point at (1,-3)
draw a line between them
Step-by-step explanation:
could u vote me brainliest plz? thx :)
The standard formula for calculating the equation of a line is expressed as
y = mx + b
m is the slope of the line
b is the y-intercept of the line
Given the equation to graph expressed as g(x) = 3 - 6x
First, we need to get the x and y-intercept of the line expressed as:
For the x-intercept, y = 0
0 = 3 - 6x
6x = 3
x = 0.5
The x-intercept is at (0.5, 0)
For the y-intercept, x = 0
y = 3 - 6(0)
y = 3
The y-intercept is at (0, 3)
Plot the graph of a line passing through the coordinate points (0.5, 0) and (0, 3) as shown below;
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How many solution does 8(3x-6=6(x+8) have
Answer:
Step-by-step explanation:
at most 1.
8(3x - 6) = 6(x + 8)
24x - 48 = 4x + 48 Subtract 4x
24x - 4x - 48 = 4x -4x + 48 Combine
20x - 48 = 48 Add 48 to both sides.
20x = 96 divide by 20
x = 96/20
x = 4.8
No other answer is possible.
find the slope of each line
16 less than a number r divided by 8
Answer:r/8>16
Step-by-step explanation:
r/8-16
It says 16 less, so we have to subtract 16 from r divided by 8.
That would be r/8-16.
find the value of x. PLEASE HELP!!!!!
I need to show my work.
Answer:
x-60
Step-by-step explanation:
Well the expressions lie on a straight line so I know that both of the added together will equal 180.
So the equation looks like this-(x-1+2x+1=180)
So when I substitute 60 in the equation it looks like this-(60-1+2(60)+1=180)
To solve-60-1+120+1::59+120+1::60+120
180
How many centavos are there
Answer:
5
Step-by-step explanation:
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
So it's actually simple you take what you know...
24.75 = amount of meter contained in a roll of cotton
9.85 = amount of meter sold
Then you subtract them to get....
24.75 - 9.85 = 14.90
which of the four triangles efG
Jasmine drives every morning to her office that is 12 miles from her home.
c
Suppose Jasmine drives from home to the office in 20 minutes. Use this information and part (b) to write an equation. QUICK RSM HELL EMERGENCY DUE TOMARO
Answer:
d = 36tStep-by-step explanation:
We need to calculate the speed of Jasmine first as shown:
Speed = Distance/Time
Given:
Distance = 12miles
Time = 20mins
Time = 20/60 hr
Time = 1/3 hr
Speed = 12/(1/3)
Speed = 12 * 3/1
Speed = 38mi/hr
From the formula:
S = d/t
To get the equation needed, substitute s = 36 into the formula:
36 = d/t
d = 36t
Hence the required equation is d = 36t where d is the distance in miles and time in hour
Answer:
36
Step-by-step explanation:
1. Compare using >,<, or =. d. 24 tenths ______2.5
Answer:
<
Step-by-step explanation:
[tex]24 \: tenths = \frac{24}{10} = 2.4 \\ \\ 2.4 \: \: \red{\bold{ < }} \: \: 2.5[/tex]
Can an opposite and an absolute value of an integer be the same?
Answer:
yes they can be the same
Step-by-step explanation:
yes
Suppose we want to choose 5 colors, without replacement, from 16 distinct colors.
Complete question is;
Suppose we want to choose 5 colors, without replacement, from 16 distinct colors.
A) How many ways can this be done, if the order of the choices is taken into consideration?
B) How many ways can this be done, if the order of the choices is not taken into consideration?
Answer:
A) 524160 ways
B) 4368 ways
Step-by-step explanation:
A) If the order of choices is taken into consideration, then it is a Permutation problem.
Formula for Permutation is;
P(n, r) = n!/(n - r)!
In the question, n = 16 and r = 5
Thus;
P(16, 5) = 16!/(16 - 5)!
P(16, 5) = 524160
B) If the order of choices is not taken into consideration, then it becomes a Permutation problem.
Formula for Combination is;
C(n, r) = n!/((r! × (n - r)!)
C(16, 5) = 16!/((5! × (16 - 5)!)
C(16, 5) = 4368
Explain! Which one is correct?
Answer:
C) $5/1 ticket
Step-by-step explanation:
$80 for 16 tickets is $5 for 1 ticket. We can find this by just simply dividing 80/16 together to get 5.
Which sentence is true is 0.45<0.5
True.
When you break it down, it's 0.45 compared to 0.50, so 0.5 is greater than 0.45 by 0.05. Also, 0.5 is closer to 0.
find the rate of change ffor Y=4/5x-7/5
Answer:
4/5
Step-by-step explanation:
thats the slope so im assuming
What price do farmers get for their watermelon crops? In the third week of July, a random sample of 40 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. Assume that σ is known to be $1.98 per 100 pounds.
(a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their watermelon crop. What is the margin of error? (Round your answers to two decimal places.)
lower limit $1
upper limit $2
margin of error $3
(b) Find the sample size necessary for a 90% confidence level with maximal error of estimate E = 0.35 for the mean price per 100 pounds of watermelon. (Round up to the nearest whole number.)
4 farming regions
(c) A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop. What is the margin of error? Hint: 1 ton is 2000 pounds. (Round your answers to two decimal places.)
lower limit $5
upper limit $6
margin of error $7
Answer:
A) Upper limit = 7.39
Lower limit = 6.37
Margin of error = 0.51
B)Sample size = 87
C) Upper limit = 2218.50
Lower limit = 1909.50
Margin of error = 154.50
Step-by-step explanation:
We are given;
x¯ = $6.88 per 100 pounds
σ = $1.98 per 100 pounds
n = 45
A) We want to find a 90% Confidence interval. It means the significance level is; 1 - 0.9 = 0.1
Critical z-value for significance level of 0.1 is z = 1.645
Now, margin of error is;
MOE = zσ/√n
MOE = (1.645 × 1.98)/√40
MOE ≈ 0.51
Confidence interval is;
CI = x¯ ± MOE
CI = 6.88 ± 0.51
CI = ((6.88 + 0.51), (6.88 - 0.51))
CI = (7.39, 6.37)
Upper limit = 7.39
Lower limit = 6.37
B) We are given E = 0.35
Thus;
E = zσ/√n
Rearranging, we have;
n = (zσ/E)²
n = (1.645 × 1.98/0.35)²
n ≈ 87
Sample size = 87
C)We are told that the farm brings 15 tons of watermelon to market.
Also, 1 ton = 2000 pounds
Thus;
15 tons = 15 × 2000 pounds = 30000 pounds
Now this is per 100 pounds.
Thus, we can write as: 30000/100 = 300 pounds
So;
x¯ = 300 × 6.88
x¯ = 2064
σ = 1.98 × 300
σ = 594
Critical z-value for significance level of 0.1 is z = 1.645
Now, margin of error is;
MOE = zσ/√n
MOE = (1.645 × 594)/√40
MOE ≈ 154.50
Confidence interval is;
CI = x¯ ± MOE
CI = 2064 ± 154.50
CI = (2064 + 154.50, 2064 - 154.50)
CI = (2218.5, 1909.5)
Upper limit = 2218.50
Lower limit = 1909.50
Miss Croft made snack bags for the picnic that contain three types of snacks: packages of crackers, packages of cookies, and candy bars. A snack bag containing 6 of each type of snack costs $21.00. A snack bag containing 8 packages of crackers, 5 packages of cookies, and 10 candy bars costs $26.00. A snack bag containing 5 packages of crackers, 4 packages of cookies, and 7 candy bars costs $18.50. Solve a system of three linear equations in three variables to determine the cost of one candy bar.
Answer: $1.25
Step-by-step explanation:
Let the cost of cracker be a.
Let the cost of cookies be b.
Let the cost of candy bars be c.
From the question,
6a + 6b + 6c = $21
8a + 5b + 10c = $26
5a + 4b + 7c = $18.50
To solve this, we first pick any two pairs of equation. This will be:
6a + 6b + 6c = $21 ....... i
8a + 5b + 10c = $26 ....... ii
Multiply equation i by 8
Multiply equation ii by 6
48a + 48b + 48c = $168 ....... iii
48a + 30b + 60c = $156 ....... iv
Subtract equation iv from iii
18b - 12c = 12
We then pick another two pairs
8a + 5b + 10c = $26
5a + 4b + 7c = $18.50
Multiply equation i by 5
Multiply equation ii by 8
40a + 25b + 50c = $130
40a + 32b + 56c = $148
Subtract the equations
-7b - 6c = -18
Then, solve the new equations formed
18b - 12c = 12 ....... v
-7b - 6c = -18 ....... vi
Multiply equation i by -7
Multiply equation ii by 18
-126b + 84c = -84
-126b - 108c = -324
Subtract the equations
192c = 240
c = 240/129
c = $1.25
From equation v, put the value of c
18b - 12c = 12
18b - 12($1.25) = 12
18b - $15 = $12
18b = $27
b = $27/18
b = $1.5
Since,
6a + 6b + 6c = $21
6a + 6($1.5) + 6($1.25) = $21
6a + $9 + $7.5 = $21
6a + $16.5 = $21
6a = $21 - $16.5
6a = $4.5
a = $4.5/6
a = $0.75
One candy bar cost $1.25
The cost of one candy bar is $1.5 and this can be determined by forming the linear equation with the help of given data.
Given :
Miss Croft made snack bags for the picnic that contain three types of snacks: packages of crackers, packages of cookies, and candy bars.A snack bag containing 6 of each type of snack costs $21.00. A snack bag containing 8 packages of crackers, 5 packages of cookies, and 10 candy bars costs $26.00. A snack bag containing 5 packages of crackers, 4 packages of cookies, and 7 candy bars costs $18.50.Form the linear equation in order to determine the cost of one candy bar. Let 'x' be the cost of crackers, 'y' be the cost of cookies, and 'z' be the cost of candy bars.
So, the linear equation that represents the situation "A snack bag containing 6 of each type of snack costs $21.00" is:
6x + 6y + 6z = 21 --- (1)
The linear equation that represents the situation "A snack bag containing 8 packages of crackers, 5 packages of cookies, and 10 candy bars costs $26.00" is:
8x + 5y + 10z = 26 --- (2)
The linear equation that represents the situation "A snack bag containing 5 packages of crackers, 4 packages of cookies, and 7 candy bars costs $18.50" is:
5x + 4y + 7z = 18.50 --- (3)
Simplify all three equations in order to determine the value of 'x', 'y', and 'z'.
z = $1.25
y = $1.5
x = $0.75
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write each precent as a fraction in simplest from. 2%=
Answer:
1/500
Step-by-step explanation:
Answer:
1/5 i think
Step-by-step explanation:
Help me- 3.4 + 12a / 4 for a = 10
Sara Moon is a video editor who earns $63,840 annually. She is married, has 2 dependents, and her state tax rate is 4%.
Answer:
The answer is below
Step-by-step explanation:
Use the Exemption amounts in Figure 2.2 on page 132 to find the (a) amount for exemptions and (b) annual state income taxes.
The exemptions are shown in the image below.
a) We can see that the exemptions for a married person is $4000 and $2000 per dependent. Since there are 2 dependents therefore:
Amount for exemptions = $4000 + (2 dependents × $2000 per dependent)
Amount for exemptions = $4000 + $4000 = $8000
Amount for exemptions = $8000
b) Taxable wages = Annual gross pay - Exemptions
Taxable wages = $63840 - $8000 = $55840
Annual state income taxes = Taxable wages × State tax rate
Annual state income taxes = $55840 × 4% = $2233.6
Jamal buys 33 bolts that cost $0.38 each,hich equation represents the best estimate for the total cost of all of the bolts
Answer:
12.54
Step-by-step explanation:
What's the slop of ( 2.5),(6,13)
Answer:
2
Step-by-step explanation:
m=y2-y1/x2-x1
13-5=8
6-2=4
8/4=2
hope this helps :3
if it did pls mark brainliest
Three statistics professors and seven chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be advisors. If each professor has an equal chance of being selected, what is the probability that both professors are chemistry professors?
Answer:
P[2qp] = 0,467 or 46,7 %
Step-by-step explanation:
The probability of two of seven chemistry professors is equal to:
P[2 qp] = quantity of combinations of seven elements taken in groups of two, over total quantity of events, therefore
The total quantity of combinations is:
3 statistics professors + 7 chemistry professors taken in groups of 2 that is:
Te = (3 + 7) ! / 2!*(10-2)!
Te = 9!/ 2!*5! ⇒ Te = 9*8*7*6*5!/2!*8! ⇒ Te = 9*8!/2*8!
Te = 45
And successful events are:
C₇,₂ = 7!/2!*(7-2)!
C₇,₂ = 21
Finally, the probability that both professors are chemistry professors is:
P[2qp] = 21/45
P[2qp] = 0,467 or 46,7 %
The probability of selecting both professors are chemistry professors will be 0.4667 or 46.67%.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Three statistics professors and seven chemistry professors are available to be advisors to a student organization.
The student organization needs two of the professors to be advisors.
If each professor has an equal chance of being selected.
The probability that both professors are chemistry professors will be
The total quantity of combinations will be
[tex]\rm T = \ ^{10} C _ 2 = 45[/tex]
And successfull events will be
[tex]\rm F = \ ^7C_2 = 21[/tex]
Then the probability will be
[tex]\rm P = \dfrac{F}{T}\\\\\\P = \dfrac{21}{45}\\\\\\P = 0.4667 \ or \ 46.67 \%[/tex]
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need help with asap!!!!!
Answer:
it is right triangle so we have trigonometric ratio: tan(54)=3/x and from that we have x=3/tan(54)
In a multiple linear regression analysis, statistical model utility is determined by the value of R2 and 2s, while practical model utility is determined by the Global F-test p-value.
a) true
b) false
Answer:
This statement is true because if F statistics is significant, then the entire multiple regression model is useful for the prediction of y.
Step-by-step explanation:
Solution:
In a multiple linear regression analysis, the statistical model utility is determined by the value of R2 and ∂2, while the Global F test p-value determines the practical model.
This statement is true because if F statistics is significant, then the entire multiple regression model is useful for the prediction of y.
The F test is a statistical test that is very flexible. F test can evaluate multiple model terms.
The F test indicates whether a linear regression model provides a better fit to data than a model that contains no independent variable.
The F test for overall significance has two hypotheses:
1- Null hypothesis:
The fit of the intercept only model and your model are equal.
2- Alternative hypothesis:
The fit of the intercept-only model is significantly reduced compared to your model.
Compare p-value for the F test,
If the p-value is less than the significance level, the sample data provide sufficient evidence that the regression model fits the data better with no independent variable.
Write the function whose graph is the graph of y=|x| , but is translated 3units to the left and 4 units upward.
y=
Answer:
y=|x+3|+4
Step-by-step explanation:
3 units left is + 3
4 units up is + 4
The graph of function y = |x+3|+4 is translated as 3 units to the left and 4 units upward.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.
For example, If shift up by 1 unit, add 1 to the function
If shift down by 4 units, subtract 4 from the function
To determine the function whose graph is the graph of y=|x| ,
Translated is 3 units to the left and 4 units upward.
x+3 because adding 3 to the x coordinate would shift it over 3
y-4 because subtracting 4 to the y coordinate would shift it up 4
⇒ f(x) = ( x + 3, y - 4 )
⇒ y - 4 = |x+3|
⇒ y = |x+3| + 4
Therefore, the graph of function y = |x+3|+4 is translated as 3 units to the left and 4 units upward.
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How can I prove my teacher I’m an advanced kid?
Answer:
tell them that you would like them to reconsider your level in whatever class that is
Step-by-step explanation:
Answer:
Maybe have good handwriting (if written assignents), double check your questions to make sure they are corect, show all of your work, ask extra questions to show you are paying attention, take notes and try to make sure she/he notices.
Step-by-step explanation:
hope this helped
Consider a value to be significantly low if its z score less than or equal to -2 or consider a value to be significantly high if its z score is greater than or equal to 2.
A data set lists weights (grams) of a type of coin. Those weights have a mean of 5.37215 g and a standard deviation of .05421 g. Identify the weights that are significantly low or significantly high.
What weights are significantly low? (Round to five decimal places as needed. Use ascending order.)
What weights are significantly high?
(Round to five decimal places as needed. Use ascending order.)
Answer:
z₁ = 5,361308 this value, and values below this value, should be considered significantly low
z₂ = 5,48057 this value, and values above this value, should be considered significantly high
Step-by-step explanation:
z (score) = z₁ - μ₀ / σ
where μ₀ is mean and σ the standard deviation.
if z (score) is equal to -2 ( or less) then
-2 = (z₁ - 5,37215)/0,05421
( -2 )*0,05421 = z₁ - 5,37215
- 0,10842 = z₁ - 5,37215
z₁ = 5,37215 - 0,010842
z₁ = 5,361308
And if z = 2
2* 0,05421 = z₂ - 5,37215
0,10842 = z₂ - 5,37215
z₂ = 5,37215 + 0,10842
z₂ = 5,48057