Answer:
0.98732
Step-by-step explanation:
Given that :
Mean = 10 minutes
Variance = 2 minutes
For less than equal 40 jobs
Mean (m) = 40 * 10 = 400 minutes
Variance = 2 * 40 = 80 minutes
Standard deviation (s) = √variance = √80
Converting hours to minutes
X = 60 * 7 = 420 minutes
P(X≤ 420) :
Z = (x - m) / s
P(X≤ 420) :
Z = (420 - 400) / √80
Z = 20 / √80 = 20 / 8.9442 = 2.236
P(Z ≤ 2.236) = 0.98732
The probability that the machine processes less than or equal should be 0.98732
Calculation of the probability:
Since
Mean = 10 minutes
Variance = 2 minutes
For less than equal 40 jobs
Mean (m) = 40 ( 10) = 400 minutes
Variance = 2 (40) = 80 minutes
Now
Standard deviation (s) = √variance = √80
Now here we Converting hours to minutes
So,
X = 60 (7) = 420 minutes
Now
P(X≤ 420) :
Z = (x - m) / s
Z = (420 - 400) / √80
Z = 20 / √80
= 20 / 8.9442
= 2.236
Now finally
P(Z ≤ 2.236)
= 0.98732
Hence, The probability that the machine processes less than or equal should be 0.98732
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can i have brainlest and i will give you brainest just so this question does not delete i will give easeist question ever
0x0
Answer:
0
Step-by-step explanation:
say that you have 0 bottles of ketchup and you get 0 more bottles of ketchup every hour you work. not only does it make no sense but if you work zero hours you will end up with 0 ketchup bottles
Graph the line.
-2x+y=4
You don't need to graph it, I just need the equation in a y=mx+b format
y = 2x + 4
Step-by-step explanation:
Answer:
Not 100% sure if this is right but i think it would be y=2x + 4
Step-by-step explanation:
There are two separate, equal-size boxes, and inside each box there are four separate small boxes, and inside each of the small boxes there are four even smaller boxes. How many boxes are there all together? 1 10 Incorrect: Your answer is incorrect. boxes
Answer: I got 42
Step-by-step explanation:
(using I's as an example)
There started with 2 boxes
I IThen there are 4 boxes in each in those two
Iiiii IiiiiNow each of those boxes have 4 in them.
Ii....i....i....i.... Ii....i....i....i....A study reported that finger rings increase the growth of bacteria on health-care workers’ hands. Research suggests that 31 percent of health-care workers who wear rings have bacteria on one or both hands, and 27 percent of health-care workers without rings have bacteria on one or both hands. Suppose that independent random samples of 100 health-care workers wearing rings and 100 health-care workers not wearing rings are selected. What is the standard deviation of the sampling distribution of the difference in the sample proportions (wear rings minus does not wear rings) of health-care workers having bacteria on one or both hands?
Answer:
C: square root 0.31 (0.69)/100 + 0.27(0.73) /100
Step-by-step explanation:
that's the answer I'm just to lazy to put the explanation but yeah, that's the answer
Cara earns money for her club by selling breakfast tickets (B) for $3 and lunch tickets (L) for $5. She wants to raise at least $500 for her club, and she
wants to sell fewer than 200 tickets.
Answer: 250 $3 tickets and 100 $2 tickets were sold.
vertical angels must:
Answer:
Vertical Angels must: have pairs of opposite angles made by two intersecting lines.
Step-by-step explanation:
{show steps please i’m begging it’s due in an hour }
PLEASE LET THIS GRAB UR ATTENTION IF UR AN EXPERT AT ALGEBRA I HAVE AN F
Hello!
[tex]slope = 2\\\\y-intercept = (0, 3)\\\\Equation: y = 2x + 3[/tex]
We can find the slope using the slope formula:
[tex]slope = \frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex]
Plug in any two points from the table. We can use (0, 3) and (1, 5):
[tex]slope = \frac{5 - 3}{1-0}[/tex]
[tex]slope = 2[/tex]
Now, we can find the y-intercept by finding the y-value at which x = 0.
According to the table, when x = 0, y = 3. Thus, the y-intercept is:
[tex](0, 3)[/tex]
We can write an equation using the slope and y-intercept in the format
y = mx + b where "m" is the slope and "b" is the y-intercept.
Plug in the solved values into the equation:
y = 2x + 3.
**Graphed below**
Which pair shows equivalent expressions?2(3x+ 2) = 23 x+1
21ę x+ 2) = x+4
2c
21= x+4)= 2
Answer:
Option (2)
Step-by-step explanation:
Option (1).
[tex]2(\frac{2}{5}x+2)=2\frac{2}{5}x+1[/tex]
[tex]\frac{4x}{5}+4=\frac{12}{5}x+1[/tex]
Therefore, both the sides of the expression are not equal.
False.
Option (2).
[tex]2(\frac{2}{5}x+2)=\frac{4}{5}x+4[/tex]
[tex]\frac{4x}{5}+4=\frac{4}{5}x+4[/tex]
True.
Option (3).
[tex]2(\frac{2}{5}x+4)=\frac{4}{5}x+2[/tex]
[tex]\frac{4}{5}x+8=\frac{4}{5}x+2[/tex]
False.
Option (4).
[tex]2(\frac{2}{5}x+4)=2\frac{2}{5}x+8[/tex]
[tex]\frac{4x}{5}+8=\frac{12}{5}x+8[/tex]
Both the sides are not equal.
False.
There are 124 pages in a sketchbook. John used 36 pages. Miss Hamilton asks him to draw 2 pictures each week. How many weeks does John take to finish the sketchbook? Step by step explanation pls.
Answer:
44 weeks
Step-by-step explanation:
First, he’s already used 36 pages so he has 124-36=88 pages left to use.
Since he can use 2 pages per week, by dividing 88(# of pages left) by 2( pages per week), you will get the answer. 88÷2=44 weeks
10. Which of the following figures will have it's altitude outside the triangle?
Answer:
1 triangle is the right anwer
Need help ASAP!!
Sharon is 5 times as old as her daughter. 4 years ago, the square of the sum of their ages is equal to 256. Forming an algebraic equation, find their present ages.
Answer:
Sharon is 36
Her daughter is 7 years and 2 months
Step-by-step explanation:
sharon is 5× as old
her daughter is written as 1 (because we dont know about her age)
then square root of 256 to find square which is equal as said in the queston:which is 16
algebraic equation would be:5n+16 (n represents the years and 5 is how many times older sharon is and 16 is how old their square sum of agewas 4 years ago)
Their present age would be:
Sharon=5x4+16=36
Daughter =36÷5=7 years 2 months
The present age of Sharon is 20 and the Present age of her daughter is 4.
What are algebraic equations?A mathematical statement in which two expressions are rendered equal to one another is known as an algebraic equation. A variable, coefficients, and constants make up an algebraic equation in most cases.
Given, Sharon is five times her daughter's age. The square of their ages was equal to 256 four years ago. Let the age of Sharon is x and the age of her daughter be y.
Thus the algebraic equation formed as per the given data is,
x = 5*y (Present age)
(x-4 + y -4)^2 = 256 (Four years ago)
Taking square root both the sides
x + y = 24
comparing both equations
5 y + y = 24
y = 4
and x = 20
Therefore, Sharon is currently twenty years old, and her daughter is currently four years old.
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9x-3x-5=19 solve for x
Answer: x=4
Step-by-step explanation:
Simplify the left side of 9x-3x-5=19 by combining like terms:
6x-5=19
Add 5 to both sides:
(6x-5)+5=19+5
Simplify:
6x=24
Divide both sides by 6:
(6x)/6=24/6
Simplify:
x=4
HELP PLEASEE!!! I just need help with the 2 boxes
Answer:
[tex]y= x - 300[/tex]
[tex]y = -246[/tex] -- Her equivalent weight on earth
Step-by-step explanation:
Given
The attached table
Required
Fill in the gaps
(a) The equation
First, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the table, we can say that:
[tex](x_1,y_1) = (0,-300)[/tex]
[tex](x_2,y_2) = (300,0)[/tex]
So, we have:
[tex]m = \frac{0 -(-300)}{300 - 0}[/tex]
[tex]m = \frac{0 +300}{300}[/tex]
[tex]m = \frac{300}{300}[/tex]
[tex]m = 1[/tex]
The equation is then calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - (-300) = 1(x - 0)[/tex]
[tex]y +300 = 1(x)[/tex]
[tex]y +300 = x[/tex]
[tex]y= x - 300[/tex]
(b) When x = 54
Substitute 54 for x in [tex]y= x - 300[/tex]
[tex]y = 54 - 300[/tex]
[tex]y = -246[/tex]
relation between inputs and outputs
Answer:
A positive relationship between the inputs and the outputs is one wherein more of one input leads to more of an output. This is also known as a direct relationship. On the other hand a negative relationship is one where more of one input leads to less of another output.
Step-by-step explanation:
Hope this helps
Anthony has 115 books in his room he is storing them in boxes each box holds 17 books how many boxes does Anthony mean
Answer:
7
Step-by-step explanation:
115/17=6.7..... Round up to 7.
7 boxes should be the answer
V + 9 t+ u
how many terms and in the expression
Answer:
3 terms.
Step-by-step explanation:
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable (a letter), or several variables multiplied but never added or subtracted. That means V is a term, 9t is a term, and u is a term.
which algebra tiles are used in this equation:
4x + 7 = 23
Answer:
4x+7=23
4.4+7=23
Step-by-step explanation:
23-7=16
16/4=4
The algebra tiles used in the equation 4x + 7 = 23 are four x-tiles, seven unit tiles, and 23 unit tiles.
To model the equation 4x + 7 = 23 using algebra tiles, we would use variable tiles (x-tiles) and unit tiles.
For the term 4x, we would use four x-tiles since the coefficient is 4.
For the term 7, we would use seven unit tiles since it is a constant.
The equal sign (=) does not have a specific tile representation; it simply indicates the equation's balance.
On the other side of the equation, for the term 23, we would represent it using 23 unit tiles.
So, the algebra tiles used in this equation would be four x-tiles, seven unit tiles, and 23 unit tiles.
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The picture below shows a pole and its shadow:
A pole is shown with a right triangle side. The right triangle has hypotenuse 221 cm and base 21 cm.
What is the height of the pole?
a. 121 centimeters
b. 220 centimeters
c. 225 centimeters
d. 231 centimeters
Answer:
Pole^2 = 221^2 - 21^2
Pole^2 = 48,841 -441
Pole^2 = 48,400
Pole = 220 cm
Answer is B
Step-by-step explanation:
f(x) = -x +(m+3)x - 3m +1
X =3
m=?
Answer:
5
Step-by-step explanation:
The radius of the base of a cylinder is decreasing at a rate of 121212 kilometers per second. The height of the cylinder is fixed at 2.52.52, point, 5 kilometers. At a certain instant, the radius is 404040 kilometers. What is the rate of change of the volume of the cylinder at that instant (in cubic kilometers per second)
Answer:
7536 [tex]km^3/sec[/tex]
Step-by-step explanation:
Given that:
Rate of decreasing of radius = 12 km/sec
Height of cylinder is fixed at = 2.5 km
Radius of cylinder = 40 km
To find:
The rate of change of Volume of the cylinder?
Solution:
First of all, let us have a look at the formula for volume of a cylinder.
[tex]Volume = \pi r^2h[/tex]
Where [tex]r[/tex] is the radius and
[tex]h[/tex] is the height of cylinder.
As per question statement:
[tex]r[/tex] = 40 km (variable)
[tex]h[/tex] = 2.5 (constant)
[tex]\dfrac{dV}{dt} = \dfrac{d}{dt}\pi r^2h[/tex]
As [tex]\pi, h[/tex] are constant:
[tex]\dfrac{dV}{dt} = \pi h\dfrac{d}{dt} r^2\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2 r\dfrac{dr}{dt} \\$Putting the values:$\\\Rigghtarrow\dfrac{dV}{dt} = 3.14 \times 2.5\times 2 \times 40\times 12 \\\Rigghtarrow\dfrac{dV}{dt} = 7536\ km^3/sec[/tex]
answer all correctly you get brainiest
Zoe is planning to adopt 2 petsShe is equally likely to choose a dog or a cat for each petZoe modeled her choices with an experimentIn the experiment, Zoe tossed 2 coins 12 times, with heads () representing a dog and tails () representing a cat Which table could be the result of Zoe's experiment ?
Answer:
The last one. The table with 12 sections and 2 letters in each one.
Explanation: For every flip (12 total flips) there were 2 coins. So there are 12 sections in the table (the amount of times the coins were flipped) and 2 letters for each one (representing that 2 coins were flipped at the same time).
Hope this helps <3333
graph a reflection over the line x=1. plsss fast my geometry midterm
Answer:
A'={5,0}
B'={2,0}
C'={2,4}
Step-by-step explanation:
The coordinates of the object triangle are;
A = {-3,0}
B= {0,4}
C={0,0}
The reflection is on line x=1
See attached graph with the image for the coordinates of the triangle after reflection
A'={5,0}
B'={2,0}
C'={2,4}
PLEASE HELP!!! Find the midpoint of BD.
Answer:
(a/2, a/2)
Step-by-step explanation:
Coordinates of B & D are; (0, a) and (a, 0) respectively.
The formula for calculating coordinates of midpoint is;
M = ((x1 + x2)/2), ((y1 + y2)/2)
Coordinates of BD will be;
M_BD = ((0 + a)/2), ((a + 0)/2)
M_BD = (a/2, a/2)
The graph below illustrates the time students took to complete a test when all students were allowed to finish. The distribution has mean 65 minutes and standard deviation 10 minutes.Using the Empirical Rule, if the instructor sets a time limit of 75 minutes, at least _____% of students should be able to finish because this is one standard deviation above the mean.
Here is another number machine.
Input - x
_____
_____
Output - 4x+5
What operations should go in the boxes to make it work
Answer:
The 2nd box should be 4 × x and then the 3rd box should be + 5
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
We need to multiply 4 to input x and add 5 to the product to get the output 4x+5.
Given that, input of the function is x and the output of the function is 4x+5.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
To get the out of the function 4x+5, we need to multiply 4 to x and add 5 to the product.
That is represented the figure given below.
Therefore, we need to multiply 4 to input x and add 5 to the product to get the output 4x+5.
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please help asap !!!!
Answer:
25
Step-by-step explanation:
I believe that the mid-segment is the length of half the base.
Paul has a sum of $260 in $5 and $10 bills. If he has 40 bills in total, how many were of each denomination?
Answer:
28 5 dollar bills
12 10 dollar bills
Step-by-step explanation:
You can write two equations to model this situation'
x will be the number of 5 dollar bills
y will be the number of 10 dollar bills
x+y=40
5x+10y=260
There are a couple of ways you can solve this but but I will be doing it through substitution because that looks easier (I can explain other methods if you're interested)
So we have x+y=40
If I subtract y from both sides and divide by -1 we get
-x+40=y
We can then plug this value in for y in the second equation
5x+10(-x+40)=260
Distribute the 10 and combine like terms to get
-5x+400=260
subtract 400 from both sides and divide by -5 to get
x=28
This means that there are 28 5 dollar bills. We can plug this value back in for x into our first equation to solve for y
28+y=40
Subtract 28 from both sides
y=12
This means that there were a total of 28 5 dollar bills and 12 10s
I doubled checked this in desmos and it checks out
Pls sum one help me I need it
Answer:
3.9
Step-by-step explanation:
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Jeremiah plans on building a 5 meter long garden walkway that is paved with square stones that measure " $ meter on each side. There will be no spaces between the stones. How many stones will be needed to complete the garden walkway?
Complete question :
Jeremiah plans on building a 5 meter long garden walkway that is paved with square stones that measure " 5/6 meter on each side. There will be no spaces between the stones. How many stones will be needed to complete the garden walkway?
Answer:
12
Step-by-step explanation:
Given that:
Length of square block to be used = 5/6 meters
Length of garden. Walkway = 5 m
Since length of walkway is the same on both sides, then the Total length = 5m + 5m = 10 meters
Number of square stones required :
Total length of walkway / side length of stones to be used
= 10 meters ÷ (5/6) meters
= 10 * 6/5
= 60 / 5
= 12 stones