Step-by-step explanation:
slope-intercept form is
y = ax + b
"a" being the slope, "b" being the y-intercept (the y value when x = 0).
we have
2x + 3y = 15
3y = 15 - 2x
y = (-2/3)×x + 5
Evaluate. Write your answer as a whole number or as a simplified fraction.
4^-2 / 6^3
Answer:
Your answer is [tex]\frac{1}{864}[/tex]
Step-by-step explanation:
[tex]4^{-1}[/tex] ÷ [tex]6^{3}[/tex] [tex]= 0.0011574074[/tex] or [tex]\frac{1}{864}[/tex]
Lisa has a beige skirt, a black skirt, and a denim skirt. She has a red sweater and
a white sweater, and she has a white blouse, a blue blouse, and a green blouse.
How many different ways can she wear a skirt, sweater, and blouse together?
There are 18 combinations that Lisa can wear by shuffling skirts, sweaters, and blouses together.
Given,
Number of skirts = 3
Number of sweaters = 2
Number of Blouse = 3
By using permutation and combination formula nCr = n! ÷ (r! (n-r)!),
3C1 × 2C1 × 3C1
= (3!) ÷ ((3-1)! × 1!) × (2!) ÷ ((2-1)! × 1!) × (3!) ÷ ((3-1)! × 1!)
= (3!) ÷ ((2)! × 1!) × (2!) ÷ ((1)! × 1!) × (3!) ÷ ((2)! × 1!)
= ((3 × 2 × 1) ÷ (2 × 1 × 1)) × ((2 × 1) ÷ (2 × 1 × 1)) × ((3 × 2 × 1) ÷ (2 × 1 × 1))
= (6 ÷ 2) × (2 ÷ 1) × (6 ÷ 2)
= 3 × 3 × 2
= 18
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Use the point and the slope to graph each line. Write the equation of the line. The line passes through point (0,-3) and is parallel to a line with slope 2
The equation of the line that passes through (0, -3) and parallel to a line with slope 2 is y = 2x - 3
Equation of a lineFrom the question, we are to determine the equation of the line.
From the given information, the line passes through (0, -3) and is parallel to a line with slope 2.
NOTE: If two line are parallel, then their slopes are equal
Thus,
The slope of the line is 2
Using the point-slope form of the equation of a line,
y - y₁ = m(x - x₁)
Where m is the slope
Then,
y - -3 = 2(x - 0)
y + 3 = 2x
y = 2x - 3
Therefore,
The equation is y = 2x - 3
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acceptance sampling is a statistical method used to monitor the quality of purchased parts and components. to ensure the quality of incoming parts, a purchaser or manufacturer normally samples 20 parts and allows one defect.
Let X represent the number of defects.
When n=20 and p = 0.01,
Likelihood = P(Acceptance) = P(X=0) + P(X=1)
= 20C0 * (0.01)^0 * (1-0.01)^(20) + 20C1 * (0.01)^1 * (1-0.01)^(20-1) = 0.9831
When n=20 and p = 0.02,
Likelihood = P(Acceptance) = P(X=0) + P(X=1)
= 20C0 * (0.02)^0 * (1-0.02)^(20) + 20C1 * (0.02)^1 * (1-0.02)^(20-1) = 0.9401
When n=20 and p = 0.05,
Likelihood = P(Acceptance) = P(X=0) + P(X=1)
= 20C0 * (0.05)^0 * (1-0.05)^(20) + 20C1 * (0.05)^1 * (1-0.05)^(20-1) = 0.7358
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21. Evaluate when a= 5, b= -9 and c= -32.
a. -b-c
[tex] a \times - b - c \\ =(5) \times - ( - 9) - ( - 32) \\ = 5 \times 9 + 32 \\ = 45 + 32 \\ = 77[/tex]
ATTACHED IS THE SOLUTION
Answer:
-77
Step-by-step explanation:
we replace a=5, b=-9, c=-32
5 * -9 - 32
-45 - 32
- 77
question is in the picture
at what point does the graph of the equation y = - 2/3 x + 6 intersect the x - axis
At (9, 0), the graph of the equation y = - 2/3 x + 6 intersect the x - axis.
How to create linear equation using two variables?
If an equation is written in the form ax + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables. Such an equation has a pair of numbers as its solution, one for x and one for y, which further equalizes the two sides of the equation. A specific point on the graph represents the solution of a linear equation in two variables, ax + by = c, where the total of these two values will equal c when the x-coordinate is multiplied by a and the y-coordinate by b. Basically, there are infinitely many solutions to a linear equation with two variables.
The linear equations can be solved using substitution method.
Given, the equation of the graph is : y = (-2/3) x + 6 -(i)
Also, the equation of x-axis is: y = 0 -(ii)
Substituting (ii) in (i), we get,
0 = (-2/3)x + 6 ⇒ (-2/3)x = -6 ⇒ (2/3)x = 6 ⇒ x = 9
Thus, the point where the graph of the equation y = - 2/3 x + 6 intersect the x - axis is (9, 0).
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Tamika bought snacks for her team's practice. She bought a bag of oranges for $2.19 and a 12-pack of juice bottles. The total cost before tax was $8.31. Which tape diagram could be used to represent the context if xx represents how much each bottle of juice costs?
The cost of each bottle of juice is $0.51.
What is a tape diagram?The tape diagram can be used to illustrate the relationship between the numbers that are given.
Let the cost of each bottle of juice be x.
In this case, she bought a bag of oranges for $2.19 and a 12-pack of juice bottles and the total cost before tax was $8.31.
This will be:.
2.19 + 12x = 8.31
Collect like terms
12x = 8.31 - 2.19
12x = 6.12
Divide
x = 6.12 / 12
x = 0.51
The cost is solved. Note that the tape diagrams weren't given but the.coat is solved accordingly.
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3 times 697 estimate then find the product
Answer:
Product: 2091
Estimate: 2100
Step-by-step explanation:
Estimate 697 as 700
700 x 3 = 2100
Find Product
697 x 3 = 2091
Given m|n, find the value of x.
(10x-2)°
(9x+5)°
Answer:
x = 7
Step-by-step explanation:
(10x - 2) and (9x + 5) are corresponding angles and are congruent , then
10x - 2 = 9x + 5 ( subtract 9x from both sides )
x - 2 = 5 ( add 2 to both sides )
x = 7
What’s is the total weight and pounds of the books in Duane’s backpack
Part A:
Add all the values:
Convert the oz into pounds:
1oz = 16 pounds
Divide each value by 16:
55 oz = 55/16 = 0.3125 pounds
11 oz = 11/16= 0.6875 pounds
14 oz = 14/16 = 0.875 pounds
1 pound = 1 lb
3 3/4lb= 3.75 lb
2 1/4 = 2.25 lb
2lb
Now add:
Total weight = 3.75 + 0.3125+ 2.25+0.6875+0.875 = 7.875 lb
The daytime temperature in Montana yesterday was -4.5 degrees, and it was expected to drop 6.5 more degrees today. What is today’s expected daytime temperature?
-11 degrees is the expected daytime temperature for today
The daytime temperature yesterday in Montana = -4.5 degrees
Expected temperature drop today = 6.5 degrees
The term "temperature" describes how hot or cold the atmosphere is and is measured with a thermometer. Temperature is reported by meteorologists in both Celsius (C) and Fahrenheit (F).
Today's expected daytime temperature:
The daytime temperature yesterday in Montana + Expected temperature drop today
But since the temperature of yesterday is negative we will use a negative sign to add the expected temperature of today. A drop in temperature will lead to a more cold temperature
= -4.5 + (-6.5)
= -11 degrees
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Dawn bought a magazine for $6 and a book for b dollars. She paid for the items with a $20 bill and d dollars bills. Which represents the amount of change that Dawn received?
The change received by Dawn will be equivalent to A = 14 + (d - b).
What is price estimation in mathematics?
Estimation of a price is a reasonable guess of the actual value to make calculations easier and realistic.
Given is Dawn who bought a magazine for $6 and a book for [b] dollars. She paid for the items with a $20 bill and [d] dollars bills.
The total cost of magazines and books purchased by Dawn [C]= $6 + $b
The total money paid for these items [S] = $20 + d
Amount of change received by Dawn will be [A] = S - C
A = 20 + d - (6 + b)
A = 20 + d - 6 - b
A = 14 + (d - b)
Therefore, the change received by Dawn will be equivalent to A = 14 + (d - b).
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What is the correct factorization of
x^2 + 5x – 6?
(x – 1) (x + 6)
(x + 1) (x – 6)
(x – 2) (x – 3)
(x – 2) (x + 3)
Suppose a batch of steel rods produced at a steel plant have a mean length of 187 millimeters, and a variance of 64.
If 416 rods are sampled at random from the batch, what is the probability that the mean length of the sample rods would differ from the population mean by less than
0.65 millimeters? Round your answer to four decimal places.
»How many lines of symmetry does this figure have? x
Answer:
15
Step-by-step explanation:
a racing car consumes a mean of 103 gallons of gas per race with a variance of 36. if 38 racing cars are randomly selected, what is the probability that the sample mean would be greater than 101.5 gallons? round your answer to four decimal places.
The probability that the sample mean would be greater than 101.5 gallons
P(x>101.5)=0.9382
This is further explained below.
What is the probability?Generally, From this population, a sample with the size n=38 is taken and analyzed.
Let's say that x is the sample's mean value.
It may be concluded that the sample distribution of the x-bar is about normal with
Mean =103
Standard deviation=0.9733
Now, the expression for the probability looked for is P(x>101.5)
[tex]=&\mathrm{P}\left[\left(\bar{x}-\mu_{\bar{x}}\right) / \sigma_{\bar{x}} > \left(101.5-\mu_{\bar{x}}\right) / \sigma_{\bar{x}}\right][/tex]
Where
P=Probabilty
x=mean
[tex]\mu[/tex] is population mean
[tex]\sigma[/tex]= Standard deviation
[tex]\\&=\mathrm{P}\left[\left(\bar{x}-\mu_{\bar{x})} / \sigma_{\bar{x}} > (101.5-103) / 0.97332852678\right]\right.\end{aligned}[/tex]
= P[Z > -1.54]
P(x>101.5)=0.9382
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NEED ANSWER ASAP WILL GIVE 35 POINTS
Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x−7)? Responses The graph of g(x) is the graph of f(x) translated 7 units left. The graph of , g begin argument x end argument, is the graph of , , f open argument x close argument, , translated 7 units left. The graph of g(x) is the graph of f(x) translated 7 units down. The graph of , g begin argument x end argument, is the graph of , , f open argument x close argument, , translated 7 units down. The graph of g(x) is the graph of f(x) translated 7 units right. The graph of , g begin argument x end argument, is the graph of , , f open argument x close argument, , translated 7 units right. The graph of g(x) is the graph of f(x) translated 7 units up.
The statement correctly describes the relationship between the graph of f(x) and g(x)=f(x−7) is the graph of f(x) translated 7 units right.
What is Graph?The graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them.
According to the question we have
g(x)=f(x−7).
Given that f(x) then f(x + a) represents a horizontal translation of f(x).
If a > 0 then shift units left
If a < 0 then shift units right
Therefore, f(x - 7) represents a shift right of 7 units.
Hence, The statement correctly describes the relationship between the graph of f(x) and g(x)=f(x−7) is the graph of f(x) translated 7 units right.
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ASAP!! 8(2x + 3x + 2) = 4x+ 148
Solve for X and include all steps for branliest.
Answer: 11/3
Step-by-step explanation:
1. Distribute the 8: 16x + 24x + 16 = 4x + 148
2. Combine like terms: 40x + 16 = 4x + 148
3. Get the x by itself: 36x = 132
4. Divide by 36: x = 11/3
A grocery store sells steak for $3.10 per pound. To feed a family, you need 2.14 lbs. of steak. How much do you pay in total
5 men take 28 days to build a boat. Assuming the men work at the same rate, calculate the number of men needed to build a boat in 20 days.
Use your equation to complete the table. grams of fish 1500 number of calories 3000
Answer:
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
5+5=10
Answer this question for me
Answer:
R ≈ 3.97 %
Step-by-step explanation:
you have a sample of contaminated benzoic acid that weighs 2.014 g. after performing a proper recrystallization with proper drying, the mass of your purified benzoic acid is 1.611 g. what is your percent recovery rounded to the nearest tenths? do not include the percent symbol in your answer (e.g., if your answer is 10.5%, submit your answer as 10.5).
The percent recovery of benzoic acid is equal to 80.0 if the mass of purified benzoic acid after recrystallization is 1.611 g.
The percent recovery can be described as the amount of a product available after its production and purification.
The percent recovery of benzoic acid can be calculated by using the following formula:
percent recovery of sample = (Mass of purified sample ÷ Mass of contaminated sample) × 100
Substituting the given values of contaminated and purified benzoic acid in this equation;
percent recovery = (1.611 ÷ 2.014) × 100
percent recovery = 0.7999 × 100
percent recovery = 79.99
Rounding it to the nearest tenth;
percent recovery = 80.0
Hence the percent recovery of benzoic acid is calculated to be 80.0
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Every purchase of 30 boxes gets 1 extra Free box. Rizky
Sejahtera Bersama shop sells to its regular Warung Rp 38.000,-/box (without
giving extra). How much profit does Rizky Sejahtera Bersama's shop get for each
box?
On selling 38 boxes daily without giving extra box will profit him one box daily
What is Profit?Profit: A profit occurs when you sell something. for more than it cost. A business profit occurs when a business. makes more money than it spends.
Every purchase of 30 boxes gets 1 extra Free box. Rizky Sejahtera Bersama shop sells to its regular Warung Rp 38.000,-/box (without giving extra)
On selling 38 boxes daily without giving extra box will profit him one box daily
for two days if we add 38+38=76 boxes which profit him 2 boxes
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HELP STANDARD DEVIATION
(please show work too)
What is the standard deviation of these numbers:
1,1,2,2,3,3,3,4,4,4,5,5,6,6
Answer: 1.5923926292577
Step-by-step explanation: Count, N: 14
Sum, Σx: 49
Mean, μ: 3.5
Variance, σ2: 2.5357142857143
Steps
σ2 =
Σ(xi - μ)2
N
=
(1 - 3.5)2 + ... + (6 - 3.5)2
14
=
35.5
14
= 2.5357142857143
σ = √2.5357142857143
= 1.5923926292577
The earth travels one full rotation around the sun in approximately 365.25 days.
How many minutes does it take for the earth to travel one full rotation around the sun?
Show your work. Make sure to include units in your answer.
The number of minutes it takes for the earth to travel one full rotation around the sun is 529, 960
What is proportion?A proportion can simply be described as an equation in which varying elements, or given numbers are set equal to each other.
It is seen as a mathematical method of comparing two elements or numbers.
It is also defined as a relation that entails comparison on the basis of size or magnitude of numbers, quantities or elements.
From the information given, we have that;
The earth travels for 365. 25 days round the sun.
If 24 × 60 minutes = 1 day
Then x minutes = 365. 25 days
cross multiply, we have;
x = 24 × 60 × 365. 25
Multiply the values
x = 529, 960 minutes
Hence, the value is 529, 960 minutes
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Charlie bought a pair of shorts at the store when they were having a 45 \%45% off sale. If the regular price of the pair of shorts was \$ 24$24, how much did Charlie pay?
Charlie paid $13.2 for the shorts after discount
The regular price of pair of shorts = $24
Discount during the sale on shorts = 45%
Discounts are price reductions that store owners make on items or services that are otherwise priced as marked. This portion of the rebate is typically provided to boost sales or get rid of excess inventory. The price of an item as stated by the manufacturer or seller, without any price reduction, is known as the List price or Marked Price.
Amount of discount = 45% of 24
= 45/100*24
= 10.8
Amount of shorts after discount = Regular price of shorts - Discount on shorts
= 24 - 10.8
Amount after discount = $13.2
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20 = -u/2 solve for u simplify your answer as much as possible
Answer:
u = -40
Step-by-step explanation:
20 = -u/2
multiply both sides by 2:
2(20) = 2(-u/2)
-u = 40
divide both sides by -1:
-u/-1 = 40/-1
u = -40
Drag a statement or reason to each box to complete the proof.
If 3(x−4)=x+4, then x=8.