Answer:
f = -1
Step-by-step explanation:
f(x) = 3x + 1
f(-2/3) = 3(-2/3) + 1
f = -2 + 1
f = -1
Answer:
= -2f/3
Step-by-step explanation:
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.
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;
Learn more here: https://brainly.com/question/17003809
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]
5) h(n) = -2n^2+ 4; Find h(4)
Answer:
h(4) = -28
General Formulas and Concepts:
Substituting into functionsOrder of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define
h(n) = -2n² + 4
h(4) is n = 4
Step 2: Solve
Substitute: h(4) = -2(4)² + 4Exponents: h(4) = -2(16) + 4Multiply: h(4) = -32 + 4Add: h(4) = -28Can an opposite and an absolute value of an integer be the same?
Answer:
yes they can be the same
Step-by-step explanation:
yes
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)
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
which of the four triangles efG
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
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).
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]
More about the probability link is given below.
https://brainly.com/question/795909
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
For more information, refer to the link given below:
https://brainly.com/question/11897796
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
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.
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 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
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
Patricia and Emma work together. They both have the same amount of money invested in their portfolios. Their investments are listed in the table. Two months ago, the company Patricia and Emma work for started incurring losses, and now its share price has started falling. Which statement is correct given the scenario?
Patricia’s Investmentscompany stocks, bonds, mutual funds, domestic stocks, and international stocksEmma’s Investmentscompany stocks
A.
Patricia’s portfolio will be affected the most because she has too many assets in her portfolio.
B.
Emma’s portfolio will be affected the most because it is limited to company stock.
C.
Neither portfolio will be significantly affected because both have a good mix of assets.
D.
Both portfolios will be equally affected because both have an equal amount of company stock.
Answer:
I believe it would be B, hoped I helped :)
Step-by-step explanation:
The statement that is correct given the scenario is: B. Emma’s portfolio will be affected the most because it is limited to company stock.
PortfolioSince both of them have the equal money invested in their portfolios in which the company the both work for started incurring losses this tend to means that Emma portfolio will be affected the most by the loss that was incurred.
The reason why Emma portfolio will be most affected is because his portfolio is limited to the company stock compare to that of Patricia’s
Therefore the correct option is B.
Learn more about portfolio here:https://brainly.com/question/14986133
#SPJ2
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:
Apply the distributive property to Factor
and the greatest common Factor 44+48
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:
find the slope of each line
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.
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.
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
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
Please help me out. A square has an area of 90 square inches. Which two consecutive integers does a side length of the square fall between?
The side length of a square with an area of 90 square inches falls between the integers
A and
B .
Answer:
9 and 10
Step-by-step explanation:
Area of a square = s², where s = side length
Given that the square has an area of 90 in², the side length (s) of the square = √90.
Thus, 90 is not a perfect square and it's square root won't give us an integer.
Thus, √90 lies between two perfect squares namely, 81 and 100.
Therefore, the side length of the square would be:
√81 < √90 < √100
9 < √90 < 10.
The side length of the square lies between 9 and 10.
Answer:
9 and 10
Step-by-step explanation:
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