A factory produces 60005/12
tons of steel in a month. What is its daily production?
Answers
Answer:
[tex]About\ 193 \frac{209}{372} \ tons\ of \ steel[/tex]
Step-by-step explanation:
Given the amount of tons of steel produced monthly by a factory to be 6000 5/12 tons, to determine their daily production, we need to use the conversion;
Maximum of 31 days = 1 month
This means that the steel company produces 6000 5/12 tons of steel in 31 days.
6000 5/12 tons = 31 dsays
72,005/12 tons = 31 days
in a day, the company will therefore produce approx. (72,005/12)/31 tons of steel.
(72,005/12)/31 = 72,005/12 * 1/31
= 72,005/12*31
= 72,005/372
= 193 209/372 tons of steel.
Hence, the factory produces about [tex]193 \frac{209}{372}[/tex] tons of steel daily
Related Questions
there are 11 people in an office with 6 different phone lines. if all the lines begin to ring at once, how many groups of 6 people can answer these lines?
Answers
T_11
Expect_6 phones
This is a permutation problem
Therefore 11p6= 11!/(11-6)! = (5!*6*7*8*9*10*11)/5! = 6*7*8*9*10*11 (ANSWER)
Answer:
one group
Step-by-step explanation:
there is only one group of six people in the office since the office only has 11 people.
Sum of two numbers is 20 their difference is 118
Answers
Answer:
y = -49 x = 69
Step-by-step explanation:
make an equation
x+y=20 and x-y=118
then you can solve by elimination
x+y=20
x-y=118
=2x=138
x=69
69-y=118
-y=49
y=-49
If Guadalupe has 3 teaspoons of salt, how many batches of scones can she make?
Answers
Answer:
12 batches of scones
Explanation:
3/0.25=3*4=12
x= 88 89 90 i need help someone please
Answers
Answer:
x = 89
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
45 = 1/2 AB
90 = arc AB
Angle Formed by Two Chords
= 1/2 ( sum of Intercepted Arcs)
x = 1/2 ( 88+ 90)
x = 1/2 (178)
x = 89
A random sample of 10 employees for the Department of Health and Human Services has the following salaries in thousands of dollars. Assuming normality, use a TI-83, TI-83 plus, or TI-84 calculator to find the 98% confidence interval for the true population mean salary. Round your answers to two decimal places and use increasing order. Salary
72
71
66
71
69
71
72
69
70
71
Answers
Answer:
(68.58,71.82)
Step-by-step explanation:
What is true about the functional relationship shown in the graph?
Answers
Answer:
A
Step-by-step explanation:
A store finds that its sales decline after the end of an advertising campaign. On the day that the campaign ends, daily sales are $8,500 and 3 days after the end of the campaign daily sales are $5,100. Usual daily sales for the store total $3,500. Assume the decline in sales follows the pattern of Newton's Law of Cooling (Heating). What are daily sales for the store 7 days after the end of the advertising campaign
Answers
Answer:
The sales for the store 7 days after the end of the advertising campaign is
[tex]G_7 =[/tex]$3849.74
Step-by-step explanation:
From the question we are told that
The daily sales on the end of campaign day is [tex]G_o[/tex] = $8,500
The daily sales three days after end of campaign day is [tex]G_3[/tex] = $ 5,100
The usual day sales of the store is [tex]G_u[/tex] = $ 3,500
Generally the Newton's Law of Cooling (Heating). equation is mathematically represented as
[tex]G_t = G_u+ [(G_o -S_u ) * e^{-(k*t)}][/tex]
Here t is the number of day after the campaign ended
Now substituting values to obtain the constant k
For t = 3
[tex]G_3 = G_u + [(G_o -S_u ) * e^{-(k*3)}][/tex]
[tex]5100 = 3500 [(8500 -3500 ) * e^{-(k*3)}][/tex]
[tex]e^{-(k*3)} = 0.32[/tex]
=> [tex]-3k = ln (0.6)[/tex]
=> [tex]-3k = -1.1394[/tex]
=> [tex]k = 0.380[/tex]
So at t = 7
[tex]G_7 = G_u + [(G_o -S_u )] * e^{-(k*7)}[/tex]
substituting values
[tex]G_7 = 3500 + [(8500 -3500 )] * e^{-(0.3780*7)}[/tex]
[tex]G_7 =[/tex]$3849.74
A parallelogram has the vertices W(-4, 2), X(2, 2), Y(3, -1), and Z(-3, -1). What are the coordinates of the endpoints of side WX?
Answers
Answer:
W(-4, 2) and X(2, 2)
Step-by-step explanation:
The vertices of the parallelogram are:W(-4, 2), X(2, 2), Y(3, -1), and Z(-3, -1).
The side WX is the segment that starts at W and ends at X.
Therefore, the coordinates of the endpoints of side WX are W(-4, 2) and X(2, 2) respectively.
From 12:00 midnight to 6:00am the temperature decreased by 12 degree C if the original temperature was 12 degrees C which expression can be used to represent this situation
Answers
Answer:
12 - 12
Step-by-step explanation:
Given
Initial Temperature (at 12 midnight) = 12 deg C
By 6am; Temperature has decreased by 12 deg C
Required
What expression represents the situation
Provided that there was a decrement in the temperature; the system will b represented by Initial Temperature minus Change in temperature
Expression = Initial Temperature - Change in Temperature
Expression = 12C - 12C
Solving further to get the actual temperature at 6
Final Temperature = 12C - 12C
Final Temperature = 0 C
Answer:
12-12
Step-by-step explanation:
QUESTION 4
The expected value can be used to calculate the overall grade for a course by using the
earned value for each grade category and its category weighted probability. Calculate the
overall grade given the following grade data:
Grade Category
Earned Value
Weighted Probability
Homework
95
20%
Quiz
80
20%
Test
75
45%
Project
90
15%
Enter your answer as a numeric. For example, if your answer is 78.23%, enter 73.23.
Answers
Answer:
82.25%
Step-by-step explanation:
95*0.2 + 80*0.2 + 75*0.45 + 90*0.15 = 82.25%
A six sided fair number cube is 100 times as part of an experiment The frequency of the role of the Number three is 20 which statement about rolling a three is correct
Answers
Answer:
8
Step-by-step explanation:
don't cheat sike i cheat
Answer: the real answer is c you can go to both places I gave you the answer in both
Step-by-step explanation:
Because I got it right please have a good day or night
. Roger uses his truck to plow parking lots when it snows. He wants to find a model to predict the number of service calls he can expect to receive based on how much snow falls during a storm. Snow Plow Service Based on the collected data shown in the scatterplot, he uses the linear model . According to this model, c(s)=0.8s+0.29about how many service calls will Roger have in the next snow storm if 4.7 inches of snow fall? Round to the nearest tenth if necessary
Answers
Answer:
4.1 calls
Step-by-step explanation:
The number of calls (c) that Roger expects to get as a function of how many inches of snow fall (s), is described by the following linear model:
[tex]c(s)=0.8s+0.29[/tex]
Therefore, when s = 4.7 inches, the number of service calls that Roger expects is:
[tex]c(4.7)=0.8*4.7+0.29\\c(4.7)=4.05\ calls[/tex]
Rounding to the nearest tenth, Roger will get about 4.1 calls.
What is the equation of the line which passes through (-0.5,-5) and (2,5)
Answers
Answer:
[tex]y = 4x-3[/tex]
Step-by-step explanation:
The coordinates are (-0.5,-5) and (2,5)
Finding the slope, m:
=> Slope = [tex]\frac{rise}{run}[/tex]
=> Slope = [tex]\frac{5+5}{2+0.5}[/tex]
=> Slope = [tex]\frac{10}{2.5}[/tex]
=> Slope = 4
Now, y-intercept, b:
Taking any of the two coordinate and putting it in the slope intercept equation:
=> Point = (x,y) = (2,5)
So, x = 2, y = 5
=> [tex]y = mx+b[/tex]
=> 5 = (4)(2) + b
=> 5 = 8 + b
=> b = 5-8
=> b = -3
Now, Putting in slope intercept equation:
=> [tex]y = mx+b[/tex]
=> [tex]y = 4x-3[/tex]
Gradient (m) = x2-x1
y2-y1
considering
y1 = -5 y2 = 5
x1 = -0.5. x2 = 2
m = 2-(-0.5)
5-(-5)
m = 5.5
10
m = 11. = 0.55
20
equation of a line is given by
y-y1 = m+(x-x1)
y-(-5) =0.55 + {x-(-0.5)}
y+5 = 0.55 + x+0.5
making y the subject
y = 0.55 +0.5 -5 + x
y = -3.95 + x
Please answer this correctly
Answers
Answer:
100%
Step-by-step explanation:
First, let's determine the probability for each of the conditions.
For P(greater than 2), we will have the cards 3, 4, 5, 6, 7, and 8.
For P(less than 3), we will have the cars 2.
In other words, every single card fits the conditions.
Thus, P(greater than 2 or less than 3)=7/7=100%
100%
Answer:
100%
Step-by-step explanation:
Greater than 2 is 3, 4, 5, 6, 7, 8
And less than 3 is 2 so that’s all the numbers which is 100%
Use back-substitution to solve the system of linear equations.
Answers
Answer:
x = 38
y =2
z=-1
Step-by-step explanation:
z = -1
Substituting into the second equation
y-z =3
y - -1 =3
y+1 = 3
Subtract 1
y+1-1= 3-1
y =2
Substituting into the first equation
x -2y +2z = 32
x -2(2) +2(-1) = 32
x-4-2 = 32
x-6 = 32
Add 6 to each side
x-6+6 =32+6
x = 38
A retired woman has $90,000 to invest but needs to make $3,000 a year from the interest to meet certain living expenses. One bond investment pays 15% annual interest. The rest of it she wants to put in a CD that pays 7%. If we let x be the amount the woman invests in the 15% bond, how much in dollars will she be able to invest in the CD?
Answers
Answer: any amount from 0 to 90000 USD
Step-by-step explanation:
x USD will be paid for 15% bonds that makes x*0.15 USD /per year
So 90000-x will be paid for 7% bonds , that makes (90000-x)*0.07 USD/per year= 6300-0.07x USD / per year.
So the total amount the woman gets from both investments yearly should be not less than 3000 USD/per year
Otherwise
0.15*x+6300-0.07*x>=3000
0.08*x+6300>=3000
The inequation is correct for any x>=0
The woman will be able invest in CD any amount from 0 to 90000 USD.
If we suppose that investments in CD more safe we'd recommend to the lady to invest all money to CD.
Answer:
see below
Step-by-step explanation:
$3000 is not a right number or $90000
Assume n instead of $3000, then
x*0.15+(90000-x)*0.07 = nis required equation
0.15x+6300-0.07x=n0.08x+6300=n0.08x= n-6300x= (n-6300)/0.08 is the amount invested in the 15% bond
Consider n> $6300
Then 90000 -x will be the amount invested in the CD
A penny, a nickel, a dime, and a quarter are tossed. What is the probability of obtaining exactly two tails on the tosses?
Answers
p
=
0.5
of heads or tails, we can model the probability of X out of N coins landing head side up with the binomial distribution:
(=∣)=()(1−)−
P
(
x
=
X
∣
p
)
=
(
N
X
)
p
X
(
1
−
p
)
N
−
X
Substituting the probability =0.5
p
=
0.5
and =4
N
=
4
into this pdf, we get:
(=)=(4)0.50.54−
P
(
x
=
X
)
=
(
4
X
)
0.5
X
0.5
4
−
X
To get the probability that three or more heads are obtained, we sum all the probabilities for ≥3
x
≥
3
, i.e.
(≥3)=∑=34(4)0.50.54−
P
(
x
≥
3
)
=
∑
x
=
3
4
(
4
X
)
0.5
X
0.5
4
−
X
(≥3)=(43)0.54+(44)0.54
P
(
x
≥
3
)
=
(
4
3
)
0.5
4
+
(
4
4
)
0.5
4
(≥3)=4(0.54)+0.54
P
(
x
≥
3
)
=
4
(
0.5
4
)
+
0.5
4
(≥3)=5(0.54)
P
(
x
≥
3
)
=
5
(
0.5
4
)
(≥3)=5(116)
P
(
x
≥
3
)
=
5
(
1
16
)
(≥3)=516=0.3125
P
(
x
≥
3
)
=
5
16
=
0.3125
Note: This particular question is simple enough to do without the above equation. One must recognize that there are 24
2
4
possible outcomes in the sample space of this four coin flip. Four of these outcomes have one coin which landed tails (one outcome for each different value of coin) i.e. three heads, and only one outcome exists where all coins are heads. These make up 5 of the 16 possible outcomes. Each are equally likely due to the equal probability of heads or tails for each coin, so we get the same answer as above.
if f(x)=3x+2, what is f(5)
Answers
Answer:
f(5) = 17
Step-by-step explanation:
Pretty easy :)
just pluggin f(5).
f(5) = 3(5) + 2
f(5) = 15+2
f(5) = 17.
:)
f(5) = 3(5) + 2
= 15 + 2
= 17
For data sets having a distribution that is approximately bell-shaped, _______ states that about 68% of all data values fall within one standard deviation from the mean.
Answers
Answer:
The Empirical Rule
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
So the answer to this question is the Empirical Rule
Solve the system by the method of elimination.
Answers
Answer:
Hey there!
We have x+2y=5, and x-2y=5.
x+2y=5
x-2y=5
Add the x's to get 2x and the 2y's to get 0. Finally add the 5's to get 10.
Thus, we have 2x+0=10, or 2x=10.
x=5
y=0
Hope this helps :)
Answer:
x=3,y=1
Step-by-step explanation:
x+2y = 5
x-2y = 1
Add the two equations together to eliminate y
x+2y = 5
x-2y = 1
----------------------
2x +0y = 6
Divide by 2
2x/2 = 6/2
x = 3
Then solve for y
x+2y = 5
3 + 2y =5
2y = 5-3
2y = 2
Divide by 2
2y/2 = 2/2
y =1
x=3,y=1
Check
3+2(1) = 5
5=5
3-2(1)=1
1=1
5/6 n=10 show me how to solve it please
Answers
Hey there! :)
Answer:
n = 12.
Step-by-step explanation:
Given:
5/6n = 10
Solve by isolating the variable. Divide both sides by 5/6. (Multiply by the reciprocal)
5/6n · 6/5 = 10 · 6/5
n = 10 · 6/5
n = 12.
Answer:
6n = 10 ×5
6n = 50
n = 50/6
n = 8.3
Drag each equation to the correct location on the table.
• Solve the equations for the given variable. Then place the equations in the table under the correct solution.
x = 3
x≠ 3
Answers
Step-by-step explanation:
1) x - 5 = - 2
x = - 2 + 5
x = 3
2) - 6 + x = - 9
x = - 9 + 6
x = - 3.
3) x/4 = 6/8
Cross multiply
8x = 24
x = 24/8 = 3
4) - 14x = - 42
x = - 42/-14
x = 3
5) - 3/5 + x = 12/5
x = 12/5 + 3/5
x = 15/5 = 3
6) x/3 = 9
x / 3 - 9
x - 3
x = 3
The solution is shown below:
What is equation?A statement of equality between two expressions consisting of variables and/or numbers
x=3 x≠3
1) x - 5 = - 2 2) - 6 + x = - 9
x = - 2 + 5 x = - 9 + 6
x = 3 x = - 3.
3) x/4 = 6/8 6) x/3 = 9
x = 24 x = 27
x = 24/8
x = 3
4) - 14x = - 42
x = - 42/-14
x = 3
5) - 3/5 + x = 12/5
x = 12/5 + 3/5
x = 15/5
x = 3
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ2
A sludge pool is filled by two inlet pipes. One pipe can fill the pool in 11 days and the other pipe can fill it in 22 days. However, if no sewage is added, waste removal will empty the pool in 37 days. How long will it take the two inlet pipes to fill an empty pool? ___________ days
Answers
Answer:
i-09 vhcgcdg hdc
Step-by-step explanation:
Please answer this correctly without making mistakes
Answers
Answer:
<
Step-by-step explanation:
750,000,000 times 10^5 can be expressed as 7.5 times [tex]10^{11}[/tex]
7.55 times 10^13 is greater than 7.5 times 10^11.
Answer:
The appropriate sign that makes the statement true is <
Hope this helps you
I NEED HELP PLEASE, THANKS! :)
Answers
Answer: C) -98, -686, -4,802, -33,614
Step-by-step explanation:
There are 5 steps from -14 to -235,298.
First, let's find the ratio (r):
[tex]-14r^5=-235,298\\\\r^5=\dfrac{-235,298}{-14}\\\\r^5=16,807\\\\r=\sqrt[5]{16,807} \\\\r=7[/tex]
Next, multiply each term by r = 7
-14 x 7 = -98
-98 x 7 = -686
-686 x 7 = -4,802
-4,802 x 7 = -33,614
-33,614 x 7 = -235,298 [tex]\checkmark[/tex]
PLEASE HELP ASAP!!!!!
Answers
Brainliest please
Answer: 9
Step-by-step explanation:
Apex
Solving by factoring
Answers
Answer:
3
Step-by-step explanation:
A local animal rescue organization receives an average of 0.55 rescue calls per hour. Use the Poisson distribution to find the probability that during a randomly selected hour, the organization will receive fewer than two calls.A) 0.087
B) 0.894
C) 0.317
D) 0.106
Answers
Answer:
B) 0.894
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
A local animal rescue organization receives an average of 0.55 rescue calls per hour.
This means that [tex]\mu = 0.55[/tex]
Probability that during a randomly selected hour, the organization will receive fewer than two calls.
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-0.55}*(0.55)^{0}}{(0)!} = 0.577[/tex]
[tex]P(X = 1) = \frac{e^{-0.55}*(0.55)^{1}}{(1)!} = 0.317[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.577 + 0.317 = 0.894[/tex]
if 15/3 greater than 7, then 15/7 is less than 3 true or false
Answers
Answer:
True
Step-by-step explanation:
15/7 is about 2.14 which is less than 3
The radius of a sphere is 3 inches. Which represents the volume of the sphere?
12 cubic inches
362 cubic inches
647 cubic inches
817 cubic inches
Answers
Answer:
Volume of the sphere= 113.112 cubic inch(Inch ³)
Step-by-step explanation:
First of all the formula for the volume of a sphere Is given as 4πr³
Already the radius r is already given as 3 inches
While π = 3.142
Volume of the sphere = 4/3πr³
Volume of the sphere = 4/3(3.142)(3)³
Volume of the sphere= 4/3(3.142)(27)
Volume of the sphere= 4/3(84.834)
Volume of the sphere= 339.336/3
Volume of the sphere= 113.112 Inch ³
Volume of the sphere= 113.112 cubic inch