Answer:
x= -3
Step-by-step explanation:
−2(8x−1)=5(1−3x)
Step 1: Simplify both sides of the equation.
−2(8x−1)=5(1−3x)
(−2)(8x)+(−2)(−1)=(5)(1)+(5)(−3x)(Distribute)
−16x+2=5+−15x
−16x+2=−15x+5
Step 2: Add 15x to both sides.
−16x+2+15x=−15x+5+15x
−x+2=5
Step 3: Subtract 2 from both sides.
−x+2−2=5−2
−x=3
Step 4: Divide both sides by -1.
−x
−1
=
3
−1
x=−3
Caden deposited $4,251 into a savings account 15 years ago. The account has an interest rate of 3.4% and the balance is currently $7,063.91. How often does the interest compound? a daily b monthly c quarterly d annually
Answer:
quarterly
Step-by-step explanation:
i just took the unit exam i got it right, its quarterly.
Q2. What is the unit rate? Type 800 words in 12 minutes.
66 words per minute
The u it rate would be words per minute.
Divide total words by total minutes:
800/12 = 66.666 words per minute.
Round the answer to 66.7 or 67 depending on your choices.
Find the standard form of the equation for the circle with the following properties.
Center (−6,−7/6) and tangent to the x-axis
Answer:
[tex](x+6)^2+(y+\frac{7}{6})^2=\frac{49}{36}[/tex]
Step-by-step explanation:
So, we know that the center of the circle is at (-6, -7/6).
To find the equation of our circle that is tangent to the x-axis, we just need to find the vertical distance from our center to the x-axis.
Our center is at (-6, -7/6). The vertical distance from this to the x-axis directly above will be (-6, 0).
So, find our distance by subtracting our x-values:
[tex]d=r=0-(-7/6)[/tex]
Subtract:
[tex]d=r=7/6[/tex]
So, our distance, which is also our radius, will be 7/6.
Now, we can use the standard form for a circle, which is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
Substitute -6 for h, -7/6 for k, and 7/6 for r. This yields:
[tex](x+6)^2+(y+\frac{7}{6})^2=\frac{49}{36}[/tex]
We can confirm by graphing (using a calculator):
Solve this X/-6<12 .
Answer:
x >-72
Step-by-step explanation:
The inventory policy of a retail company is to hold only the highest sales volume items in its distribution center and to ship the remaining lower sales volume items direct from the respective manufacturers to its stores. This policy is intended to reduce transportation costs. Total annual sales of the company are $1 billion. It is known that half of this amount is accounted for by only 15% of the items. In addition, it is assumed that equation (8.1) in the text can be used to model the Pareto cumulative distribution. (a) If the company wants to stock the top selling 35% of the items in the distribution center, what is the expected value of these items in terms of annual sales? (b) On the other hand, if the company wants to stock only those items accounting for the top 75% of annual sales, what proportion of the items corresponds to this sales volume?
Answer:
a. 75.3% is the expected percentage and this value corresponds to 753 million dollars
b. 34.62% of items corresponds to 75% of this sales volume
Step-by-step explanation:
a. A =x(1-y)/(y-x)
X = 0.15, y = 0.50
A = 0.15(1-0.50)/(0.50-0.15)
= 0.15(0.5)/0.35
A = 0.2143
we have
x = 0.35
y = 0.35(1+0.2143)/(0.2143+0.35)
y = 0.425005/0.5643
y = 0.7531
y = 75.3%
75.3% is the expected percentage and this value corresponds to 753 million dollars
b. y = 0.75
find x
y = x(1+A)/(A+x)
x = yA/(1+A-y)
x = 0.75(0.2143)/1+0.2143-0.75)
x = 0.160725/0.4643
x = 0.3462
34.62% of items corresponds to 75% of this sales volume
a flea weighs 0.000006349 ounces. how is number written in scientific notation
How many liters are in 50 gallons of water? (Round to the nearest whole number and do not include units in your answer.) Note: There are 3.785 liters in a gallon
Answer:
190
Step-by-step explanation:
================================================
Work Shown:
1 gallon = 3.785 liters ..... given info
50*(1 gallon) = 50*(3.785 liters) .... multiply both sides by 50
50 gallons = 189.25 liters
50 gallons = 189 liters .... round to the nearest whole number
the length of LO if M is between L and O, LM = 7x – 9, MO = 14 inches, and LO = 10x – 7.
LM+MO=LO
7x-9+14=10x-7
7x+5=10x-7
7x-10x+5-5=10x-10x-7-5
-3x=-12
-3x/-3=-12/-3
x=4
10*4-7
=40-7
=33 in.
The length of LO is 33 inches.
It is given that LM = 7x - 9.
MO = 14
LO = 10x - 7
What is an equation?Equation is the combination of variables, constant and mathematical symbols.
M is between L and O
LM + MO = LO
7x - 9 + 14 = 10x - 7
7x - 10x = -7 + 9 - 14
- 3x = - 21 + 9
- 3x = - 12
x = 12/3
x = 4
So , putting the value of x in LO = 10x - 7
LO = 10 (4) -7
LO = 40 -7
LO = 33 inches
The length of LO is 33 inches.
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What is 4 1/2 as a decimal number
Answer:
4.25
Step-by-step explanation:
60 + 2а – 4 = 2b + За
Answer:
56 - 2b = a
Step-by-step explanation:
Step 1:
60 + 2a - 4 = 2b + 3a
Step 2:
56 + 2a = 2b + 3a
Step 3:
56 = 2b + a
Answer:
56 - 2b = a
Hope This Helps :)
An engineering firm offers testing for electrical products. Currently they are testing a type of compact portable music player. They randomly select a number of the music player and conduct a series of tests and compute an overall score for each unit based upon the results of the testing routine. They determine that the test scores are normally distributed with a mean of 374 and a variance of 1,090. A unit is deemed faulty if it scores below 320. Find the probability of a random unit being faulty. Give your answer as a decimal to 2 decimal places.
Answer:
The probability of a random unit is deemed faulty if it scores below 320.
P( X < 320 ) = 0.0505
Step-by-step explanation:
Explanation:-
Given mean of the Population 'μ' = 374
Variance of the Population σ² = 1090
Standard deviation of the Population 'σ ' = √1090 = 33.01
Given 'X' be a random variable in normal distribution
[tex]Z = \frac{x -mean}{S.D} = \frac{320-374}{33.01} = -1.636[/tex]
Z = - 1.64
The probability of a random unit is deemed faulty if it scores below 320.
P( X < 320 ) = P( Z < - 1.64 )
= 1- p(Z > 1.64)
= 1 - ( 0.5 + A(1.64)
= 0.5 - 0.4495
= 0.0505
The probability of a random unit is deemed faulty if it scores below 320.
P( X < 320 ) = 0.0505
What is the y-intercept and x-intercept of g(x)=-2x+6
Answer:
see below
Step-by-step explanation:
g(x)=-2x+6
To find the y intercept set x = 0
g(0) = -2(0) +6
g(0) = 6
The y intercept is 6
(0,6)
To find the x intercept set y = 0
0 = -2(x) +6
Subtract 6 from each side
0-6 = -2x+6-6
-6 = -2x
Divide each side by -2
-6/-2 = -2x/-2
3 = x
The x intercept is 3
(3,0)
Answer:
x-int : 3
y-int : 6
Step-by-step explanation:
in order to find x intercept, you set the function equeal to 0
0= -2x + 6
then solve for x
-6 = -2x
3=x
To solve for the y intercept, you plug in 0 for x
y = -2(0) + 6
then solve for y
y = 6
Which fraction is represented by point a on the number line
Answer:
the Answer is B
Step-by-step explanation:
Subtract the sum of 6mn + 3m –12n from the sum of -13mn –2m -3n and 11m –18n –20mn.
Answer:
-3m
Step-by-step explanation:
х у
0 3
3 15
7 31
10 43
Which of the following linear equations corresponds to the table above?
A. y= 4x - 3
B. y= 1/4X-3
С. y= 1/4X+3
D. y = 4x +3
Answer:
d. y = 4x + 3
Step-by-step explanation:
Please tell me the function( will mark as brainiest) thanks
Answer:
y = 8x+8
Step-by-step explanation:
We can solve for the function by finding the slope of the linear function using two points. Let's use (0,8) and (1,16)
Slope formula is: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Plug in the 2 points: [tex]m = \frac{16-8}{1-0}[/tex]
Simplify: m = 8
So now, for the equation y = mx+b, we have m which is y = 8x+b
Now we need to find b by using another point from this linear function.
We can use the point (2,24).
Plug this point into the equation y = 8x+b
24 = 8(2)+b24 = 16 + bb = 8We have now found the equation of the linear function: y = 8x+8
Melissa wants to cover a square table with tiles. if she uses exactly 100 tiles, which could be the length of one side?
Answer:
The length of one side is 25 tiles
Step-by-step explanation:
Given
[tex]Tiles = 100[/tex]
Required
Determine the length of one side
The given parameter represents the perimeter of the table
Since the table is a square, then
[tex]Perimeter = 4L[/tex]
Substitute 100 for Perimeter
[tex]100 = 4L[/tex]
Solve for L
[tex]L= 100/4[/tex]
[tex]L = 25[/tex]
Hence:
The length of one side is 25 tiles
Answer:
what is it then
Step-by-step explanation:
The results of the Atlantic Golf Tournament are given in this table. Player Jones Chang Gomez Harrison Score 3-over par 5-under par 2-under par 4-under par Which lists the golfers in order from best (lowest score) to worst (highest score)? In golf, par is a score of 0.
It’s Chang,Harrison,Gomez,Jones
Answer:
Chang, Harrison, Gomez, Jones is the answer
The final velocity of an object moving in one dimension is given by the formula v = u + at, where u is the initial velocity, a is the acceleration, and t is the time.
Solve this equation for a.
a = (v + u)/t
a = t(v + u)
a = t(v – u)
a = (v – u)/t
Answer:
correct answer is a = (v - u)/t
Answer:
correct answer is a = (v - u)/t
Step-by-step explanation:
If
[tex]x - y = 12[/tex]
[tex] \sqrt{xy } = 3[/tex]
find the valve of
[tex] {x }^{2} + {y}^{2} [/tex]
Answer:
162
Step-by-step explanation:
[tex] { \sqrt{xy} } = 3[/tex]
[tex] = > ( { \sqrt{xy} })^{2} = {3}^{2} [/tex]
[tex] = > xy = 9[/tex]
Also ,
[tex]x - y = 12[/tex]
[tex] = > {(x - y)}^{2} = {12}^{2} [/tex]
[tex] = > {x}^{2} + {y}^{2} - 2xy = 144[/tex]
Putting the value of 'xy' above gives :-
[tex] {x}^{2} + {y}^{2} - 2 \times 9 = 144[/tex]
[tex] = > {x}^{2} + {y}^{2} = 144 + 18 = 162[/tex]
What is the IQR of the data?
Some teenagers collected trash for a beach clean-up.
The data for the number of pounds of trash collected
by each teenager are shown below.
26, 26, 21, 22, 20, 25, 35
1 pounds
O 5 pounds
05.033 pounds
15 pounds
Answer:
b edge
Step-by-step explanation:
The interquartile range is 5.
Given,
The data for the number of pounds of trash collected by each teenager is shown below.
26, 26, 21, 22, 20, 25, 35
We need to find the interquartile range
What is the interquartile range?It is given by:
= Q(3) - Q(1)
Q(3) = median of the upper half
Q(1) = median of the lower half.
Arrange in ascending order.
20, 21, 22, 25, 26, 26, 35
We have,
Lower half
Q(1) = 21
Upper half
Q(3) = 26
Interquartile range:
= Q(3) - Q(1)
= 26 - 21
= 5
Thus the interquartile range is 5.
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The length of a rectangle is 3 m greater than two times the width the perimeter of rectangle is 30 m what is the length of the rectangle
Answer:
180m
Step-by-step explanation:
Which of the following expressions could be interpreted as "a number times negative seven added to five equals two"?
5-7 x = 2
5 + 7 x = 2
O-7X-5 = 2
OX-7+5 = 2
TURN IT IN
SUBMIT ANSWER
© ASK FOR HELP
Answer:
5-7 x = 2
Step-by-step explanation:
a number times negative seven added to five equals two
"a number times negative seven added to five equals two" is represented by expression 5-7x=2
What is Expression?An expression is combination of variables, numbers and operators.
The given sentence is "a number times negative seven added to five equals two"
Here let us consider the unknown number to be x.
As in the sentence we have a number times negative seven.
Times in the sentence means product. So the number x is multiplied with -7. i.e is -7x
Now a number times negative seven added to five.
This means 5 is added to -7x
-7x+5
"a number times negative seven added to five equals two" means -7x+5 is equal to two
-7x+5=2
5-7x=2
Hence the "a number times negative seven added to five equals two" is represented by expression 5-7x=2
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Jason is solving a homework problem.
Arianna buys 4 boxes of granola bars. Each box contains 12 granola bars. Arianna eats 8 bars.
Jason writes a numerical expression to represent the situation. His expression, (12- 8) 4, has a mistake.
Complete the explanation of Jason's mistake.
and then subtracted 8 from this
Jason subtracted 8 from 12 when he should have multiplied 12 x
amount.
Enter an expression to show how many granola bars are left, and then solve it.
(12 x
- 8=
8=
Answer:
There are 54 granola bars left.
A 16 -oz iced tea at a certain restaurant has 80 calories. How many calories are there in a 24-oz iced tea?
Answer:
120 calories
Step-by-step explanation:
8 oz is 40 calories so an extra 8 oz is another 40 calories added onto the 80 from the 16 oz to equal 24 oz
Determine which expressions could be used to help find each component of the ice cream cone. ( answer choices are in picture question 2 )
Answer:
1). a
2). b
3). c
4). d
Step-by-step explanation:
From the picture of a cone attached,
Radius of the circular top = r
Height of the cone = h
Slant height of the cone 'l' = 6
Area of the circular top of the cone with radius 'r' = πr²
Amount of space inside the cone = Volume of the cone = [tex]\frac{1}{2}\pi r^{2} h[/tex]
The amount of wrapper needed to cover the side of the ice cream cone, not including the circular top of the cone = πrl = πr(6 in.)
The vertical height 'h' of the cone when the cone is standing upright = [tex]\sqrt{6^2-r^2}[/tex]
[By Pythagoras theorem, l² = h² + r² ⇒ h = [tex]\sqrt{l^2-r^2}[/tex]]
In 2005, the Federal Aviation Administration (FAA) updated its passenger weight standards to an average of 190 pounds in the summer (195 in the winter). This includes clothing and carry-on baggage. The FAA, however, did not specify a standard deviation. A reasonable standard deviation is 35 pounds. Weights are not Normally distributed, especially when the population includes both men and women, but they are not very non-Normal. A commuter plane carries 25 passengers. What is the approximate probability that, in the summer, the total weight of the passengers exceeds 5200 pounds
Answer: 0.0051
Step-by-step explanation:
Given the following :
Average Population weight (m) = 190
Population standard deviation (σ) = 35
Total weight of 25commuters (x) = 5200
Sample mean = 5200 /25 = 108
Sample standard deviation = standard error :
σ / √n = 35/√25 =
35/5 = 7
Zscore = (x - m) / standard error
Zscore = (208 - 190) / 7
Zscore = 18 / 7
= 2.57
P( Z > 2.57) = 1 - p(Z < 2.57)
P(z < 2.57) = 0.9949
1 - p(Z < 2.57) = 1 - 0.9949 = 0.0051
which operation would u do first 2 · 15 - 2 ÷ 5 (order of operation)
Answer:
Multiply 2*15
Step-by-step explanation:
2 · 15 - 2 ÷ 5
PEMDAS
Parentheses none
Exponents - none
Multiply and divide from left to right
2*15 = 30
Then 2÷5 = .4
30 - .4 = 29.6
Answer:
You would multiply first.
Step-by-step explanation:
The order of operations goes Multiplication or Division then Adding or Subtracting. The equation is 2 × 15 - 2 ÷ 5. Since there you have to multiply and divide you go left to right on the equation. This means that you multiply first.
Hope This Helps :)
Which graph shows a negative rate of change for the interval 0 to 2 on the x-axis?
Answer:
The last graph
Step-by-step explanation:
Graphs 3 and 4 have negative rates of change.
Options C and D are the correct answer.
We have,
The rate of change for the interval 0 to 2 for each graph can be calculated as:
= (b - a) / (2 - 0)
Where (0, a) and (2, b) are the coordinates on each line.
Now,
Graph 1:
Rate of change.
= (0 - (-3) / (2 - 0)
= 3/2
Graph 2:
Rate of change.
= (-2 - (-3) / (2 - 0)
= (-2 + 3) / 2
= 1/2
Graph 3:
Rate of change.
= (-4 - (-3) / (2 - 0)
= (-4 + 3) / 2
= -1/2
Graph 4:
Rate of change.
= (0.5 - 2) / (2 - 0)
= -1.5 / 2
Thus,
Graphs 3 and 4 have negative rates of change.
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Evaluate the expression in number 1
Answer
elno s un nmeuro edec iamalu
Step-by-step explanation:
