Given:
10 workers produce 30 complex elements in 10 days.
To find:
The number of days, in which 5 workers produce 24 elements.
Solution:
According to the question, let as assume
[tex]n_1=10[/tex]
[tex]w_1=30[/tex]
[tex]d_1=10[/tex]
[tex]n_2=x[/tex]
[tex]w_2=24[/tex]
[tex]d_2=5[/tex]
where, n is number of workers, w is work done, and d is number of days.
We have, a formula,
[tex]\dfrac{n_1\times d_1}{w_1}=\dfrac{n_2\times d_2}{w_1}[/tex]
Substituting the values in the above formula, we get
[tex]\dfrac{10\times 10}{30}=\dfrac{x\times 5}{24}[/tex]
[tex]\dfrac{10}{3}=\dfrac{5x}{24}[/tex]
Isolate variable x.
[tex]\dfrac{10}{3}\times \dfrac{24}{5}=\dfrac{5x}{24}\times \dfrac{24}{5}[/tex]
[tex]\dfrac{240}{15}=x[/tex]
[tex]16=x[/tex]
Therefore, the required number of days is 16.
Find the sample size required to estimate the percentage of college students who take a statistics course. Assume that we want 95% confidence that the proportion from the sample is within four percentage points of the true population percentage. Round the answer to the next larger whole number.
Answer:
The sample size is [tex]n = 600 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is E = 4% = 0.04
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Since the sample proportion (point estimate of the population proportion was not give we will assume it to be )
[tex]\^ p = 0.5[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{1.96}{0.04} ]^2 * 0.5 (1 - 0.5 ) [/tex]
=> [tex]n = 600 [/tex]
The value of a school bus reduces from $512000 to $343000in 3 years. Find the
uniform rate of depreciation per annum (R).
Answer:
The uniform rate of depreciation is $56,333 per year, or 11% per year.
Step-by-step explanation:
Rate of Depreciation
If some object has a certain value P and after some time t its value decreases to Q, the rate of depreciation is a measure of how much its value changed per unit time.
It can be calculated as:
[tex]\displaystyle R=\frac{P-Q}{t}[/tex]
It can also be expressed as a percentage, dividing the previous value by P.
The school bus reduces its value from $512,000 to $343,000 in 3 years, thus:
[tex]\displaystyle R=\frac{512,000-343,000}{3}[/tex]
[tex]\displaystyle R=\frac{169,000}{3}[/tex]
R = 56,333 $/year
Expressed as a percentage:
R = 56,333 / 512,000 = 0.11
R = 11%/year
The uniform rate of depreciation is $56,333 per year, or 11% per year.
Which is the equation of a line that passes through the point(-2,5) and has a slope of zero?
Answer:
y = 5
General Formulas and Concepts:
Alg I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define variables
Point (-2, 5)
Slope m = 0
Step 2: Write function
y - 5 = 0(x + 2)
y - 5 = 0
y = 5
Step 3: Identify
y = 5 is a horizontal line.
3−y÷ 3 5; y= 1 4
whats the answer to this
Answer:
2.6
Step-by-step explanation:
Divide the numbers, then subtract them
1. la señora Treviño tiene el doble de edad que su
hijo hace 9 años la suma de su edades era 30
¿cual es su edad actual?
Answer:
Daughter age = x = 16 years old
Mother's age = 2x = 2 × 16 = 32 years
Step-by-step explanation:
The computation of their current age is shown below:
Let us assume that the current age of the daughter is x
And, the current age of the mother be 2x
Now nine years ago, their ages would be
daughter age is x - 9
And, the mother age would be 2x - 9
Now the equation would be
x - 9 + 2x - 9 = 30
3x - 18 = 30
3x = 30 + 18
3x = 48
x = 48 ÷ 3
x = 16.
Therefore
Daughter age = x = 16 years old
Mother's age = 2x = 2 × 16 = 32 years
YALL BETTER HELP ME WITH THIS :/
Answer:
Step-by-step explanation:
2. 4
3. 180°; multiplication
4. 4
6?. 32; 148
i think thats right. i hope this helps
Answer: I thinks it 32 degrees and 148 degrees
Step-by-step explanation:
(8,9), X + 8y = 9
Help me please
Answer:
slope of -1/8
and it crosses:
(3,5)
.
Plug the above data into the "point-slope" form:
y - y1 = m(x - x1)
y - 5 = (-1/8)(x - 3)
y - 5 = (-1/8)x + 3/8
y = (-1/8)x + 3/8 + 5
y = (-1/8)x + 3/8 + 40/8
y = (-1/8)x + 43/8
Step-by-step explanation:
?
Helppp ASAP. Emma wants to enlarge a square photo and print it to a square canvas. The side
length of the canvas is 12 in. The scale from the canvas to the photo is 4 in. to 1 in.
What is the side length of Emma's photo? Show your work.
help, i will do brainliest!!!
a)
Four gallons of water weigh 33.4 lb
How much do 7.5 gallons of water weigh?
b)
Four gallons of water weigh 33.4 lb
Find the constant of variation.
Answer:
a) 62.625 lb
b) 8.35
Step-by-step explanation:
a)
Use a proportion.
4 gal is to 33.4 lb as 7.5 gal is to x lb.
4/33.4 = 7.5/x
4x = 33.4 * 7.5
4x = 250.5
x = 62.625
Answer: 62.625 lb
b)
33.4/4 = 8.35
1) Cost of 7.5 gallons of water = 62.63 lb
2) The constant of variation = 8.35 lb
We have to given that,
1) Cost of 4 gallons = 33.4 lb
2) And, Cost of 4 gallon of water = 33.4 lb
Hence, We can simplify it as,
1) Since, Cost of 4 gallons = 33.4 lb
Hence, Cost of 7.5 gallons = 7.5 × 33.4 / 4 lb
= 62.63 lb
2) Since, Cost of 4 gallon of water = 33.4 lb
Hence, the constant of variation = 33.4 / 4
= 8.35
Learn more about the divide visit:
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a) Kenyans went elections and they had to choose between three coalitions; Jubilee
Cord and Amani. They must choose one, if they have no preference, can choose
all the three or, if against one option, they choose for the two they prefer. A
sample of 200 voters revealed the following information
30 chose Jubilee and Amani but not Cord
130 chose Cord only
102 chose Amani only
30 chose Jubilee and Cord
234 chose for either Jubilee or Cord, or both Jubilee and Cord, but not Amani
256 chose for either Cord or Amani, or both Cord and Amani, but not Jubilee
How
many
students chose
i) All the three options
(2 marks
ii) Only one option
(2 marks
iii) Jubilee irrespective of Cord or Amani
(2 marks
Answer:
iii is right..................
Compare. Select <, >, or=.
3.568 ? 3.577
Answer:
3.568 < 3.577
Step-by-step explanation:
3.568 < 3.577
So 3.577 is greater than 3.568
Three points on the function are (-1, 1) (0,3) and blank
Answer:
well assuming this is a normal function, the next point would be (1,5)
WILL MARK BRAINIEST!!!!!!!!!!! PLEASE HELP ASAP
The figure below shows the location of 3 points around a lake. The length of the lake, BC, is also shown. A picture of a right triangle ABC with right angle at B is shown. The length of the side AC is labeled as 8 miles. The length BC of the triangle is labeled as 6 miles. This length BC is also the length of an irregular gray shaded shape. Which of the following options is closest to the distance (in miles) between points A and B?
A.) 2.24
B.) 2.65
C.) 3.74
D.) 5.29
Answer:
I think B but I'm not sure
Step-by-step explanation:
Answer:
B i think
Step-by-step explanation:
you're welcome <3
what is 535 divided by 30 with a remainder?
Answer:
17 with the remainder of 25
Step-by-step explanation:
BRAINLIEST AND 20 POINTE TO THE CORRECT ANSWER
A company sells promotional magnets. The pricing, in dollars, is based on the number of magnets ordered, x.
13.00x, *< 100
12.50x, x 100
Which statement is true?
A.If a customer orders less than 100 magnets, the price for each magnet is $2.50.
B.If a customer orders less than 100 magnets, the price for the total order is $250.
C.If a customer orders 100 or more magnets, the price for each magnet is $2.50.
D.If a customer orders 100 or more magnets, the price for the total order is $250.
Answer:
Honestly, I think its c. I’m really sorry if I’m wrong
Step-by-step explanation:
Answer: the answer is most likely a.
Step-by-step explanation:
Your info isn’t good enough so I had to slightly guess
8.7 x 10 to the 2nd power
Answer:
870
Step-by-step explanation:
10^2=100. 8.7*100 is 870.
Answer:
7,569
Step-by-step explanation:
8.7 × 10= 87
87 squared (to the 2nd power) is 87×87=7,569
Mrs canales class is selling pizza to earn money for a field trip. For every pizza sold the class makes $5.35. They have already earned $182.90 toward their $750 goal. How many more pizzas must they sell to earn $750 (algebraic approach) Thanks
Answer:
They still have to earn:
$750 - $182.9 = $567.1
and if they make $5.35 for every pizza sold:
$567.1 : $5.35 = 106
They must sell 106 pizzas more.
Step-by-step explanation:
A bookcase has 5 of these bookshelves that are 42 inches long. How many FEET of shelf space is there? Explain your reasoning. (If the answer is given in inches you can only get a 4 out of 6 maximum. How many FEET of shelf space is the answer you explain.) *
Answer:
[tex]17.5\ \text{feet}[/tex]
Step-by-step explanation:
A bookcase has 5 bookshelves. Each bookshelf is 42 inches long.
Total bookshelf length in the book case = [tex]5\times 42=210\ \text{inches}[/tex]
[tex]1\ \text{feet}=12\ \text{inches}\\\Rightarrow 1\ \text{inch}=\dfrac{1}{12}\ \text{feet}[/tex]
[tex]210\ \text{feet}=210\times \dfrac{1}{12}=17.5\ \text{feet}[/tex]
The bookcase has a total shelf space of [tex]17.5\ \text{feet}[/tex].
*One bookshelf has a space of [tex]\dfrac{42}{12}=3.5\ \text{feet}[/tex].
Which of the following can you determine when you use deduction and start from a given set of rules and conditions
Answer:
What must be true
Step-by-step explanation:
35) Find BC
B
31°
58°
А
33 km
C
Answer:
91°
Step-by-step explanation:
180° in a triangle; so
31+58=89
180-89=91
BC=91°
Is this graph shown below a proportional or non proportional linear relationship
Step-by-step explanation:
where is the graph
complete the question
I don’t understand this question can you also help me figure it out step by step I would greatly appreciated it
Answer:
If a shape is a square, then it is a quadrilateral
Step-by-step explanation:
Quadrilateral means four sided shape, so automatically, because a square has 4 sides, you know it is a quadrilateral. But not all quadrilaterals are a square, you could have a rectangle which is four sides so you know that this statement is wrong "If a shape is a quadrilateral, then it is a square." Therefore, the answer is "If a shape is a square, then it is a quadrilateral
Need help please please it due today at 4:50pm really need help please
Answer:
70
Step-by-step explanation:
Answer 2 questions about Equations A and B 4x+2=6-x 5 x+2=6
Just the image below.
Answer:
Step-by-step explanation:
P(x) + Q(x) = 4x^2 + 6x - 9 -7x^2 - 12x +8
x^2 terms: 4x^2 - 7x^2 = - 3x^2
x terms : +6x - 12x = - 6x
linear term: - 9 + 8 = - 1
Answer: -3x^2 - 6x - 1
Find the volume
Please show the steps
48% = StartFraction 48 Over 100 EndFraction = StartFraction a Over 25 EndFraction
a =
Answer:
12 over 25
Step-by-step explanation:
48 over 100 = 12 over 25
[(15 x 3) + 3] = (12-6) = N
Answer:
45+3 = 6=N
48_6= N
42= N
:. N= 42
Step-by-step explanation:
:. N= 42
Answer:
did you mean to put 2 equal signs in this?
Step-by-step explanation:
that would make this false because the first part equals 48 and the second equals 6 and since 48 doesn't equal 6 this is a false statement
Find the value of x that will make a and b parallel 5x+9 and 3x+11
Answer:
Step-by-step explanation:
5x + 9 = 3x + 11 ( Alternate angles )
5x - 3x = 11 - 9
2x = 2
x = 2/2
x = 1
Hope this helps
plz mark as brainliest!!!!!
Let E be the event that a corn crop has an infestation of ear worms, and let B be the event that a corn crop has an infestation of corn borers. Suppose that P(E) = 0.24, P(B) = 0.16, and P(E and B) = 0.13. Find the probability that a corn crop has either an ear worm infestation, a corn borer infestation, or both.
a. 0.53
b. 0.13
c. 0.6
d. 0.27
Answer:
d. 0.27
Step-by-step explanation:
Calculation to determine the probability that a corn crop has either an ear worm infestation, a corn borer infestation or both
Using this formula
P(E U B) = P(E) +P(B) -P(E n B)
Let plug in the formula
P(E U B) =0.24 + 0.16 -0.13
P(E U B)=0.27
Therefore the probability that a corn crop has either an ear worm infestation, a corn borer infestation or both will be 0.27