Answer:
jdfjafdsds
Step-by-step explanation:
Find the smallest whole number multiple of 2 that leaves a remainder of 1 when divided by either 3 or 7.
Answer:
2 times 8 = 16 divided by 3 leaves a remander of 1
Step-by-step explanation:
The smallest whole number is 22.
What is Least Common Multiple?Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.
For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.
Given:
First find the LCM of 7 and 3 .
LCM = 3 x 7 = 21
So, we will add remainder 1 (as given) to the LCM .
= 21+ 1
= 22
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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
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:
Are these triangles congruent? If so, name the triangle congruence method.
Answer:
The answer you chose is correct
Step-by-step explanation:
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
Does the graph represent y as a linear function of x ?
Answer: yes because without the x the y does not have a corresonding oint
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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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:
which of the four triangles efG
Point B is on line segment AC. Given BC
7 and AC
11, determine the length
AB.
Answer:
4
Step-by-step explanation:
Since the entire length is 11, and one segment is 7, you'll subtract and end up with the answer 4.
The length of AB if Point B is on the line segment AC, BC = 7 and AC = 11, is 4.
What is a line segment?A line segment is a measurable route between two points. Line segments can make up any polygon's sides because they have a set length.
Given:
Point B is on the line segment AC, BC = 7 and AC = 11,
Write the expression for the above phrase as shown below,
The length of the AC = The length of AB + the length of BC
11 = 7 + The length of AB
The length of AB = 11 - 7
The length of AB = 4
Thus, The length of AB is 4.
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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.
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.
find the rate of change ffor Y=4/5x-7/5
Answer:
4/5
Step-by-step explanation:
thats the slope so im assuming
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.
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
The flywheel on a steam engine rotates 60 revolutions every 15 seconds what is the flywheel rate of revolution per second? need the unit rate too.
Answer:
The flywheel rate of the flywheel is 4 revolutions per second.
Step-by-step explanation:
From Rotation Physics we understand that flywheel rotates at constant rate. In this case, angular speed ([tex]\dot n[/tex]), measured in revolutions per second, is the number of revolutions done by the flywheel at a given interval of time. That is:
[tex]\dot n = \frac{n}{t}[/tex] (Eq. 1)
Where:
[tex]n[/tex] - Number of revolutions done, measured in revolutions.
[tex]t[/tex] - Time, measured in seconds.
If we know that [tex]n = 60\,rev[/tex] and [tex]t = 15\,s[/tex], then the angular speed of the flywheel is:
[tex]\dot n = \frac{60\,rev}{15\,s}[/tex]
[tex]\dot n = 4\,\frac{rev}{s}[/tex]
The flywheel rate of the flywheel is 4 revolutions per second.
Answer:
The answer for that question is 4 per second
Step-by-step explanation:
Just put that answer i know it on your choices i looked up goodle for this answer so your welcome
Hope this help
Pls leave a thanks if it did
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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Apply the distributive property to Factor
and the greatest common Factor 44+48
Robert earned $300 for 6 hours of work. How much did he make in dollars per hour?
Robert earned $
per hour
Will mark brainliest
Q
Answer:
$50
Step-by-step explanation:
2〖sen〗^2 x+3 senx+1=0
2cotxsecx+ 2secx+cotx+1=0
senx〖cos〗^2 x=senx
2〖cos〗^2 x+2senx-12=0
2〖csc〗^2 x+〖cot〗^2 x-3=0
2 sin²(x) + 3 sin(x) + 1 = 0
(2 sin(x) + 1) (sin(x) + 1) = 0
2 sin(x) + 1 = 0 OR sin(x) + 1 = 0
sin(x) = -1/2 OR sin(x) = -1
The first equation gives two solution sets,
x = sin⁻¹(-1/2) + 2nπ = -π/6 + 2nπ
x = π - sin⁻¹(-1/2) + 2nπ = 5π/6 + 2nπ
(where n is any integer), while the second equation gives
x = sin⁻¹(-1) + 2nπ = -π/2 + 2nπ
2 cot(x) sec(x) + 2 sec(x) + cot(x) + 1 = 0
2 sec(x) (cot(x) + 1) + cot(x) + 1 = 0
(2 sec(x) + 1) (cot(x) + 1) = 0
2 sec(x) + 1 = 0 OR cot(x) + 1 = 0
sec(x) = -1/2 OR cot(x) = -1
cos(x) = -2 OR tan(x) = -1
The first equation has no (real) solutions, since -1 ≤ cos(x) ≤ 1 for all (real) x. The second equation gives
x = tan⁻¹(-1) + nπ = -π/4 + nπ
sin(x) cos²(x) = sin(x)
sin(x) cos²(x) - sin(x) = 0
sin(x) (cos²(x) - 1) = 0
sin(x) (-sin²(x)) = 0
sin³(x) = 0
sin(x) = 0
x = sin⁻¹(0) + 2nπ = 2nπ
2 cos²(x) + 2 sin(x) - 12 = 0
2 (1 - sin²(x)) + 2 sin(x) - 12 = 0
-2 sin²(x) + 2 sin(x) - 10 = 0
sin²(x) - sin(x) + 5 = 0
Using the quadratic formula, we get
sin(x) = (1 ± √(1 - 20)) / 2 = (1 ± √(-19)) / 2
but the square root contains a negative number, which means there is no real solution.
2 csc²(x) + cot²(x) - 3 = 0
2 (cot²(x) + 1) + cot²(x) - 3 = 0
3 cot²(x) - 1 = 0
cot²(x) = 1/3
tan²(x) = 3
tan(x) = ± √3
x = tan⁻¹(√3) + nπ OR x = tan⁻¹(-√3) + nπ
x = π/3 + nπ OR x = -π/3 + nπ
Find the slope of the line
Answer:
0
Step-by-step explanation:
Which equation demonstrates appropriate use of the distributive property?
A. 9 (x + 2y) = 9x + 2y
B. 9 (x + 2y) = 9x + 18y
C.9 (xy) (9x) (9y)
D. 9 (x + 0) - 9x + 9
Answer:
B
Step-by-step explanation:
Given the equation y=1/3x+2 what is the rate of change?
Answer:
1/3
Step-by-step explanation:
thats the slope so im assuming :/
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
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.
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.
In one full day, a kudzu vine can grow 15 inches in length. How many inches per hour is this?
Answer:
0.625
Step-by-step explanation:
15 divided by 24 which equals 0.625
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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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:
13(6x – 5) – x = 13 – 2(x + 1)
Answer:
x= 76/79
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain a variable (x).