Therefore, the solution of given problem of percentage indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.
A percentage is defined.A% is a number that expresses a quantity as a percentage of 100; it can also be expressed as a decimal or a fraction. Placing 100 in the denominator and the percentage value in the numerator will allow you to convert a percentage to a fraction.
Here,
Before any changes,
let w represent the size of the workforce. There are:
50 percent growth is equivalent to increasing by 1.5, therefore w(2000) = w(1999) * 1.5
A 50% drop is equal to dividing by 1.5, therefore w(2001) = w(2000)/1.5
Reverse the first equation to create the second equation.
w(2001) = w(1999) * 1.5/1.5
Remove the 1.5 from the top and bottom so that w(2001) = w (1999)
Therefore, this indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.
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PLS HELP! YOU DONT NEED TO DO ANYTHING JUST LET ME KNOW IF ITS RIGHT OR NOT AND GIVE ME A REASON WHY
Question: what angle below is adjacent to angle CBD?
Me:EBD
Answer:
your answer is right
Step-by-step explanation:
adjacent angles = angles with a common side and corner point
Answer:
u are correct bc adjacent means: next to or adjoining something else.
hope u get a good mark gl
Step-by-step explanation:
Find Area, can't figure out how to get answer.
Which numbers do I use for each figure??
Answer:
Use L x W x H
Step-by-step explanation:
So...
5 x 12 x 8 = 480
The table shows the number of one doctor’s patients who caught a cold one week and whether or not they exercised regularly. help me please!
2) P(did not exercise | did not catch a cold) = 1/16
3) P(did not catch a cold | did not exercise) = 1/6
4) The events "did not exercise" and "did not catch a cold" are dependent events.
What is probability?"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
The formula of the probability of an event A is:P(A) = n(A) / n(S)
where, n(A) is the number of favorable outcomes and n(S) is the total number of events in the sample space.
Conditional probability formula:For events A, B,
P(A|B) means, event A and event B are depends on each other.
P(A | B) = n(A ∩ B) / P(B)
For given situation:
the total number of doctor’s patients: 8 + 30 + 10 + 2 =50
⇒ n(S) = 50
Let event A: did not exercise
⇒ n(A) = 10 + 2
⇒ n(A) = 12
⇒ P(A) = 12/50
event B: did not catch cold
⇒ n(B) = 30 + 2
⇒ n(B) =32
⇒ P(B) = 32/50
patient who did not catch a cold as well as who did not exercise = A ∩ B
⇒ n(A ∩ B) = 2
⇒ P(A ∩ B) = 2/50
2) To find: P(did not exercise | did not catch a cold)
⇒ P(A | B) = P(A ∩ B) / P(B)
⇒ P(A | B) = [tex]\frac{\frac{2}{50} }{ \frac{32}{50} }[/tex]
⇒ P(A | B) = 2/32
⇒ P(A | B) = 1/16
3) To find: P(did not catch a cold | did not exercise)
⇒ P(B | A) = P(B ∩ A) / P(A)
⇒ P(B | A) = [tex]\frac{ \frac{2}{50} }{ \frac{12}{50} }[/tex]
⇒ P(B | A) = 2/12
⇒ P(B | A) = 1/6
4) Since P(B | A) ≠ P(B)
i.e., P(did not catch a cold | did not exercise) ≠ P(did not catch a cold)
This means, the events "did not exercise" and "did not catch a cold" are dependent.
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Which ordered triple is plotted?
(3, −5, 4)
(3, 5, 4)
(−3, 5, 4)
(−3, −5, 4)
Answer:
B
Step-by-step explanation:
Its B
Answer:
(3,5,4)
Step-by-step explanation:
B
simplify expression: 3f+8(2m-7)
After simplification we got the above expression in the form 3f + 16m -56
What is simplify in mathematics?
The word "simplify" implies to turn something in a simpler form.
In mathematics, simplify an expression means write an expression in such a way that is comparatively less complicated than before. The main purpose of simplify an expression is to make it easy to solve as well as calculation.
How to simplify the above expression?3f + 8(2m-7)
we rearrange the expression by removing the parenthesis.
we remove the parenthesis by multiplying the factors.
3f + 8 × 2m - 8 × 7
3f + 16m -56
the above expression has no like terms to add or subtract so it is kept in this form.
Hence, 3f + 16m -56 is the simpler form.
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What are the sine, cosine, and tangent ratios for angle a?
Answer:
sine: 5:13
cosine: 12:13
tangent: 5:12
Step-by-step explanation:
sine is opposite:hypotenuse
cosine is adjacent:hypotenuse
tangent is opposite:adjacent
Write an equation of a line
Answer:
Step-by-step explanation:
Steps to find the equation of a line from two points:
1) Find the slope using the slope formula. ...
2) Use the slope and one of the points to solve for the y-intercept (b). ...
3) Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = MX + b) to get the equation for the line.
(2.1)to the power of2 +5.2-7.2)x7.1
The numeric value of the expression ((2.1)² + 5.2 - 7.2) x 7.1 is given as follows:
17.1.
How to obtain the numeric value of the expression?The expression for this problem is defined as follows:
((2.1)² + 5.2 - 7.2) x 7.1
The precedence of operators follows the PEMDAS acronym, as follows:
P: power operations.E: exponent operations, with the same precedence as power operations, depending which appears first on the expression.M: multiplication operations.D: division operations, with the same precedence as division operations, depending which appears first on the expression.A: addition operations.S: subtraction operations, with the same precedence as subtraction operations, depending which appears first on the expression.Hence the parenthesis takes precedence, thus:
(2.1)² + 5.2 - 7.2.
Then the power takes precedence, thus:
(2.1)² + 5.2 - 7.2 = 4.41 + 5.2 - 7.2
Addition and subtraction can be done in any order, hence:
4.41 + 5.2 - 7.2 = 2.41.
Then the multiplication is given as follows:
2.41 x 7.1 = 17.1.
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please answersssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer: 89,596
Step-by-step explanation:Hope I helped
Blank probability is the prediction ratio of favorable outcomes to the total number of outcomes.
I’m stuck, help would be nice :D
Answer:
-14
Explanation:
3 x -3 - 5 = -14
Answer:
-14, -5, 4, and 13
Step-by-step explanation:
For each x value, substitute it for x in the equation.
For the first one where x = -3,
y = 3(-3) - 5
y = -9 - 5
y = -14
So the first one is -14. The next x value is 0
y = 3(0) - 5
y = 0 - 5
y = -5
Second one is -5. The next x value is 3
y = 3(3) - 5
y = 9 - 5
y = 4
Third is 4. The next x value is 6
y = 3(6) - 5
y = 18 - 5
y = 13
So the last one is 13.
In your sock drawer, you have 12 blue socks and 12 yellow socks. It is dark in the morning when you are getting dressed, and you can't see the color of the socks. Suppose you pick two socks and one is yellow and one is blue. What is the probability that the third sock you pick will be blue?
Answer:
A 50% chance.
Step-by-step explanation:
After subtracting 1 yellow sock and 1 blue sock, there are 11 blue and 11 yellow socks left.
So a 22 sock total.
The probability of picking another blue sock on the third try is the ratio of blue socks to total socks:
11/22 = 1/2=50%
A sailor cut a 40 foot length of rope in two pieces. If the longer piece is five feet less than twice the shorter piece of rope, then how long is the longer piece.
Answer:
23ft longer
Step-by-step explanation:
The shorter piece is 15 feet, while the longer piece is 25 feet
Let the longer piece be y, and the shorter piece be x.
So, we have:
[tex]x + y = 40[/tex] --- the length of the rope
[tex]y =2x - 5[/tex] --- the relationship between the short and the long piece
Substitute 2x - 5 for y in [tex]x + y = 40[/tex]
[tex]x + 2x - 5 =40[/tex]
[tex]3x - 5 =40[/tex]
Add 5 to both sides
[tex]3x =45[/tex]
Divide both sides by 3
[tex]x =15[/tex]
Substitute 15 for x in [tex]y =2x - 5[/tex]
[tex]y =2 \times 15 -5[/tex]
[tex]y =30 -5[/tex]
[tex]y =25[/tex]
Hence, the shorter piece is 15 feet, while the longer piece is 25 feet
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cos(x)<.025
cos^2(x)<.25
sin(x)<.25
sin^2(x)<.25
PLZ HELP
Step-by-step explanation:
First
since its follow the pattern Intercept Max... Intercept Min...
Its a positive sine graph
Asin(B(x-0))<0.25
A=1
B=2π/period
period From the graph = 2π
B=2π/2π
B=1
Sin(x)<0.25
I'd go with C.
120 students appeared in an examination. how many have failed if 2/3 of them have passed
Answer:
40 failed
Step-by-step explanation:
2/3 of 120 is 80, so you subtract the 80 who passed from the 120 total to get 40 students who failed
Answer:
Step-by-step explanation:
If [tex]\frac{2}{3}[/tex] passed the exam then:
[tex]\frac{3}{3} -\frac{2}{3} = \frac{1}{3}[/tex] failed the exam
now to find the number which failed we multiply:
[tex]\frac{1}{3} \cdot 120 = 40[/tex] and 40 is our answer
Solve.
5370
Please help please
Answer:
[tex]5370^{0}=1 [/tex] is a required answer.
Solve it please
Please please please
Answer: x = 30
==========================================================
Explanation:
When adding three angles of any triangle, they always add up to 180
3x+2x+x = 180
6x = 180
x = 180/6
x = 30
This then means,
3x = 3*30 = 902x = 2*30 = 60This triangle is a 30-60-90 triangle.
here are the ages in years of 10 children
4 9 6 7 3 5 2 6 4 6
What is the mode median and range
Answer:
mode-6
median-5.5
range-7
For FFA, Mr. Sink bought 7 calves for $3,500. He later bought another calf for $600. What is the mean cost for all of the calves?
Answer: Mr. Sink bought 7 calves for a total of $3,500, and he later bought another calf for $600, for a total of $4,100.
In total, Mr. Sink bought 7 + 1 = 8 calves.
The mean cost for all of the calves is equal to the total cost of all of the calves divided by the number of calves.
Therefore, the mean cost for all of the calves is 4,100 / 8 = $512.50.
Step-by-step explanation:
Find the circumference of a circle with an area of 254.47 sq. in.
Answer:
56.55 in is the answer
Hope this helps
Have a good day :)
Step-by-step explanation:
WHAT IS A PRICE OF A 7 - MINUTE DIAL DIRECT CALL TO NEW YORK, NY, WHEN YOU
CALL IN THE EVENING?
The price of a seven minute call direct to New York, in the evening, is given as follows:
$5.82.
How to obtain the cost of the call?The cost of the call is obtained considering the information given in the table, for which the proportions are applied.
We have a direct call, meaning that it is a person-to-person call, thus the flat rate is of $3.00 per minute.
Then the minute proportions, considering that the call happens in the evening, are given as follows:
First minute: 0.38 of $3.Each additional minute: 0.26 of $3.A seven minute call is composed by six additional minutes after the first, hence the total cost is obtained as follows:
0.38 x 3 + 6 x 0.26 x 3 = $5.82.
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Three neighbors each decide to plant a garden of petunias and daffodils. The table below shows the number of flowers in each garden.
which one has the greatest ratio of petunias to daffodils in their garden.
Neighbor
Ms. Herrera
Mr. Marks
Mrs. Perry
Number of Petunias
Ms. Herrera 48,
Mr. Marks 84,
Mrs. Perry 30
Number of Daffodils
Ms. Herrera 16,
Mr. Marks 24,
Mrs. Perry 8
Answer:
Mrs. Perry
Step-by-step explanation:
find the ratio by dividing the petunias by the daffodils
Ms. H =3
Mr. M = 3.5
mrs. P= 3.75
Patty made a scale drawing of a park using a scale of in.=45ft. The table below shows the side lengths in her drawing. Jamie uses Patty's drawing to make a different scale of 2 in.= 35ft. Which value is one of the side lengths o Jamie's drawing?
Answer: A scale is a ratio of the size of the representation (such as a drawing) to the size of the real-world object being represented. In this case, Patty's drawing uses a scale of 1 inch = 45 feet, and Jamie's drawing uses a scale of 2 inches = 35 feet.
In order to find the side length of Jamie's drawing of one of the side length we need to use a proportion:
Jamie's side length / Patty's side length = Jamie's scale / Patty's scale
So if we know one of the side length of Patty's drawing we can find the side length of Jamie's drawing. Let's assume that the side length of Patty's drawing is x
x / Jamie's side length = 45 / 35
So we can isolate Jamie's side length by multiplying both sides by Jamie's scale of 35ft/2 inches
Jamie's side length = (x*35)/45
This is the length of one side length in Jamie's drawing using the scale of 2 inches = 35 feet. If you don't have the length of one side in patty's drawing you can't find the side length of Jamie's drawing.
Step-by-step explanation:
On Saturday morning, Wendy watched one and a half hours of her favorite shows on television. During the shows there were 27 commercials. What is the unit rate of commercials per hour? 9 hours per commercial 12 commercials per hour
14 commercials per hour 18 commercials per hour
The unit rate is 18 commercials per hour.
What is Division?A division is a process of splitting a specific amount into equal parts.
On Saturday morning, Wendy watched one and a half hours of her favorite shows on television.
During the shows there were 27 commercials.
We need to find the unit rate of commercials per hour.
To find this we have to divide 27 by number of hours
27/[tex]1\frac{1}{2}[/tex]
Convert [tex]1\frac{1}{2}[/tex] to improper fraction
27/(3/2)
When whole number is divided by fraction, the denominator is multiplied with whole number
27×2/3
54/3
18
Hence, the unit rate is 18 commercials per hour.
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Answer:18 commercials per hour
Step-by-step explanation:
The makers of a popular brand of laundry detergent have discovered a new secret ingredient that they believe will boost the cleaning power of their detergent. The new ingredient is expensive, and if they use it, they would have to increase the retail price of the detergent (and they worry that the price increase will cause them to lose customers). However, they believe that if the improved detergent gets clothes drastically cleaner, customers will recognize that it is worth the extra cost. They conduct an experiment to compare the performance of the new and old formulas at removing grass stains, red wine, and chocolate from white t-shirts. Each cleaned shirt was rated on a scale from 1 (stain did not get removed) to 10 (no evidence of the stain) by trained experts. They compared the average rating for the new and old formulas. Suppose, at the 5% significance level, they find that the new formula cleaned the shirts significantly better than the old formula, with a p-value of 0.046. Interpret the p-value, in terms of the probability of the results happening by random chance, in this context.
Answer:
The p-value is of 0.046 < 0.05, which means that there is a low probability of the results happening by random chance, and thus there is significant evidence to conclude that the new formula cleaned the shirts significantly better than the old formula.
Step-by-step explanation:
If the p-value is less than the significance level, it means that there is a low probability of the results happening by random chance.
In this question:
The p-value is of 0.046 < 0.05, which means that there is a low probability of the results happening by random chance, and thus there is significant evidence to conclude that the new formula cleaned the shirts significantly better than the old formula.
Plz help me well mark brainliest if correct!!....
Answer:
The first one is correct.
What does 69 divided by 310.5 equal in decimal form?
A ball is launched from a 25.48-meter tall platform. The equation
for the ball's height h at time t seconds after launch is h (t) =
-4.9t² + 2.94t + 25.48, where his in meters. When does the object
strike the ground?
Therefore the solution of the given question of equation comes out to be the object will hit the ground after 6 seconds.
Define equation.Two variables that are equal—one on each side of a "equals" sign—are represented mathematically by an equation. Equations can be used to solve problems in daily life. To tackle challenges in real life, we frequently seek pre algebra assistance. The very foundation of mathematics is pre-algebra.
Here,
Given : -4.9t² + 2.94t + 25.48
Then,
To find the When does the object strike the ground :
We get :
=> -4.9t² + 2.94t + 25.48 = 0
Using discriminant formula
We find the value of t:
=> t = -19.6 ±[tex]\sqrt{19.6^{2} - 4 (-4.9)(25.48)}[/tex] / 2(-4.9)
=> t =-2 or 6
So we neglect -2
So solution for t = 6 seconds
Therefore the solution of the given question of equation comes out to be the object will hit the ground after 6 seconds.
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There are 12 girls and 18 boys in a class. What is the largest number of group they can be split into and have the same of boys and girls on each team?
Answer: The largest number of groups they can be split into and have the same number of boys and girls on each team is 6 groups with 2 boys and 2 girls in each group.
Write the equation of the line ( will mark brainlist)
Answer:
[tex]y=-\frac{5}{3} x+5[/tex]
Step-by-step explanation:
Points on the graph: (0, 5) and (3, 0)
Slope:
m=(y2-y1)/(x2-x1)
m=(0-5)/(3-0)
m= (-5)/3
m= -5/3
Slope-intercept:
y - y1 = m(x - x1)
y - 5 = -5/3(x - 0)
y - 5 = -5/3x
y = -5/3x + 5