The probability of randomly sampling 25 workers from the general population and their mean productivity being 28.2 or higher is 0.0192.
How to illustrate the information?It should be noted that from the information, after the special training was complete the 25 workers produced 28.2 units every hour with stand deviation of 2.9.
Therefore, the probability of randomly sampling 25 workers from the general population and their mean productivity being 28.2 or higher will be:
= 1 - P[(Z (28.2 - 27)/29/✓25)]
= 1 - P(Z < 2.07)
It should be noted that this will be looked on the distribution table.
= 1 - 0.9808
= 0.0192
Therefore, the probability of randomly sampling 25 workers from the general population and their mean productivity being 28.2 or higher is 0.0192.
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Use a slope formula to solve for the slope
Solve: 5,449 ÷ 220 Show the remainder as a fraction.
the remainder as a fraction= 49
Solution :
Divide two numbers, a dividend and a divisor, and find the answer as a quotient with a remainder. Learn how to solve long division with remainders or practice your own long division problems and use this calculator to check your answers.
Long division with remainders is one of two methods of doing long division by hand. It is somewhat easier than solving a division problem by finding a quotient answer with a decimal. If you need to do long division with decimals use our Long Division with Decimals Calculator.
Long Division:
Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence. Just like the regular division problems, the dividend is divided by the divisor which gives a result known as the quotient, and sometimes it gives a remainder too. Let us learn more about the long division method along with its steps and examples in this article.
5549 divided by 220 =
[tex]\frac{5549}{220} = 25*220+49\\\\\\so , quotient = 25\\divisor = 220\\reminder = 49\\\\divided = 5549[/tex]
the remainder as a fraction= 49
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Answer:
C 24 169|220
Step-by-step explanation:
I'm on the quiz
How can you use a number line to find the sum of -4 and 6
Answer: See the diagram below
Explanation:
Start at -4 on the number line. Then move 6 units to the right to arrive at 2 on the number line.
This shows us that -4+6 = 2
The width of a rectangle measures (9v-3)(9v−3) centimeters, and its length measures (10v+10)(10v+10) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
The expression which represents the perimeter, in centimetres of the rectangle as described in the task content is;
What is the expression which represents the perimeter, in centimeters, of the rectangle?According to the task content, the expression which represents the perimeter, in centimetres of the rectangle as described in the task content is to be determined.
Since the perimeter of a rectangle is given by the formula;
Perimeter = 2(l +w).
where; l = (10v +10) and w = (9v -3)
Therefore, the expression which represents the perimeter is;
P = 2(10v +10 + 9v -3)
P = 2 (19v +7)
P = 38v +14.
Ultimately, the expression which represents the perimeter, in centimetres of the rectangle as described in the task content is; 38v +14.
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Help Please I will mark Brainliest
Answer:
the first question is multipleling or division
the second one js given
the third one commutative property
the forth one is disturve property
last one is addition or sub
Answer:
Given, Distributive Property, Addition or Subtraction Property of Equality, Multiplication or Division Property of Equality, Commutative Property
I hope I helped!
[tex] \rm\sum_{n = 1}^ \infty ( - 1 {)}^{n - 1} \frac{ {\pi }^{2n + 1} }{(2n - 1)!(2n + 1)} \\ [/tex]
Let
[tex]\displaystyle f(x) = \sum_{n=1}^\infty (-1)^{n-1} \frac{x^{2n-1}}{(2n-1)! (2n+1)}[/tex]
The exponent is indeed [tex]2n-1[/tex] - not a typo!
Take the antiderivative of [tex]f[/tex], denoted by [tex]F[/tex]. This recovers a factor of [tex]2n[/tex] in the denominator, which lets us condense it to a single factorial.
[tex]\displaystyle F(x) = \int f(x) \, dx = C + \sum_{n=1}^\infty (-1)^{n-1} \frac{x^{2n}}{(2n+1)!}[/tex]
Recall the series expansion of sine,
[tex]\displaystyle \sin(x) = \sum_{n=0}^\infty (-1)^n \frac{x^{2n+1}}{(2n+1)!}[/tex]
Then with a little algebraic manipulation, we get
[tex]\displaystyle F(x) = \int f(x) \, dx = C + 1 - \frac{\sin(x)}x[/tex]
Differentiate to recover [tex]f[/tex].
[tex]f(x) = \dfrac{\sin(x) - x\cos(x)}{x^2}[/tex]
Finally, [tex]f(\pi) = \frac1\pi[/tex], so our sum is
[tex]\displaystyle \pi^2 f(\pi) = \sum_{n=1}^\infty (-1)^{n-1} \frac{\pi^{2n+1}}{(2n-1)! (2n+1)} = \boxed{\pi}[/tex]
How many minutes will it take to travel 64 feet at a rate of 14.5454 feet per second
[tex]\frac{16000}{218282}[/tex] minutes take to travel
According to the question,
Given that,
Traveling 64 feet at rate of 14.5454 feet per second
[tex]\frac{64}{14.5454 * 60}[/tex]
convert decimal into fraction
[tex]\frac{64}{\frac{145454}{10000} * 60}[/tex]
[tex]\frac{64}{\frac{145454}{500} * 3}[/tex]
[tex]\frac{64}{\frac{72727}{250} * 3}[/tex]
[tex]64 *\frac{250}{72727 * 3}[/tex]
[tex]\frac{16000}{218282}[/tex] ≈ 7.3333361 %
There’s a simple formula which governs the three, and it can be expressed with either variable as the subject of the equation:
Distance = speed * time
Time = distance/speed
Speed = distance/time
So, as long as we have a couple of those, we can plug them into one of the equations.
Time = distance/speed. So, a nice easy one would be how many hours does it take to cover 30km when you are travelling at 120km/h.
Time = 30km/120km/h = 0.25 hours.
If you need to figure out how many minutes that is, simply multiply it by 60, which gives you 15 minutes.
You’re going to drive at an average of 70km/h for 4 hours.
Distance is speed multiplied by time, so:
70km/h * 4 hours = 280km.
Easy so far, but what about if you’re going to be driving for 4 hours and 15 minutes? Now you either need to figure out how much 15 minutes is as a decimal number of hours, or you need to convert the hours figure into minutes and, at the end, convert it back.
The first option is fairly simple: take the 15 minutes and divide it by 60 minutes so that we know what proportion of an hour 15 minutes is.
15 minutes / 60 minutes = 0.25 hours
Add that onto the 4 hours you already have and it’s 4.25 hours. Plug it into the same equation:
70km/h * 4.25 hours = 297.5km
The other way around of doing this is converting the time into minutes. Four hours in minutes is 4 * 60 = 240 minutes.
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11^3 x 11^2 + (14-7) x 7
Answer:
Go
Step-by-step explanation:
go
CAN SOMEONE HELP PLS, THE PICTURE IS ALREADY ATTACHED JUST GIVE ME THE ANSWER AND EXPLAIN IF YOU CAN!!
Answer:
10 days
Step-by-step explanation:
20-0.4x=16
-20 -20
-0.4x=-4x
/0.4 /0.4
x=10
so after 10 days she'll need to purchase another bag of rice
You jump off a diving board
into a pool. You reach a maximum height of 25 feet
after traveling 1 foot horizontally, and hit the water
6 feet from the diving board. The path of your dive
can be modeled by a parabola, where y is the height
(in feet) and x is the horizontal distance traveled (in
feet). What is the height of the diving board?
Finding the equation of the parabola, it is found that the height of the diving board is of 24 feet.
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
From the maximum height, it is found that the vertex is at (1,25), hence:
h = 1, k = 25.
Hence:
y = a(x - 1)² + 25.
You hit the water 6 feet from the diving board, hence y(6) = 0, meaning that we use it to find a as follows:
0 = a(6 - 1)² + 25
25a = -25.
a = -1.
Hence:
y = -(x - 1)² + 25.
The height of the diving board is y(0), hence:
y = -(0 - 1)² + 25 = -1 + 25 = 24 feet.
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Which algebraic expression is equivalent to the expression below?
3(5x + 7)-6(4- 2x)
The Equivalent expressions of the given expression is a 27x -3.
According to the statement
We have to find that the equivalent expression.
So, For this purpose, we know that the
Equivalent expressions are expressions that work the same even though they look different.
In other words, Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.
From the given information:
The given expression is a
3(5x + 7)-6(4- 2x)
To find the equivalent expression we have to solve it
Then
3(5x + 7)-6(4- 2x)
15x + 21 -24 +12x
Now combine the similar terms by applying mathematical operations
Then the equation become
27x -3.
So, The Equivalent expressions of the given expression is a 27x -3.
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Trashia's bedroom is 11 feet by 11 feet. She has chosen a carpet which costs $33.05 per square yard. This includes installation. Determine the cost to carpet her room. Use the dimensional analysis method (use units in your calculations).
The cost to carpet the bedroom of size 11 feet × 11 feet will be equal to $1332.90.
What is area of rectangle ?
Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.
It is given that size of bedroom is 11 feet by 11 feet.
Carpet costs $33.05 per square yard.
Firstly, we need to find out the the area of bedroom in feet. The room has the shape of a rectangle.
We know that , the area of rectangle is given by :
A = Length x Width.
So ,
Area of room will be :
= 11 x 11
= 121 square feet
Convert this area of the room in square feet to square yards.
We know that , 1 feet = 1/3 yards
So , 121 square feet will be :
= 121 /3
= 40.33 square yards
So , the cost to carpet the bedroom will be :
= 40.33 x $33.05
= $1332.90
Therefore , the cost to carpet the bedroom of size 11 feet × 11 feet will be equal to $1332.90.
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ASAP NEED NOW
Question 3 (Essay Worth 10 points)
(01.07 MC)
Show all work to multiply (6+√-64)(3-√-16).
Answer:
50
Step-by-step explanation:
(6+√-64)(3-√-16)
6(3-√-16) +√-64(3-√-16)
18 - 6√-16 + 3√-64 - √1024
18 - 6(4i) + 3(8i) - 32i²
i² = -1
18 - 24i + 24i - (-1) 32
18 + 24i - 24i + 32
18 + 32 = 50
I hope this helps!
How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 45% antifreeze?
To obtain a 45% antifreeze solution,
(Simplify your answer.)
...
gallon(s) of water should be added.
1.2 gallons of water should be added to 1 gallon of antifreeze to make it a solution which have 45% of antifreeze.
What is percentage ?Percentage is the value per hundredth.
According to the given question we have to determine how much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 45% antifreeze.
To obtain a 45% antifreeze solution we need (100-45)% = 65% water.
Let us assume that the total mix is of x gallons which contains 45% antifreeze.
∴ The total mix in gallons which contains 45% antifreeze and have 1 gallon of antifreeze is
(45/100)x =1.
0.45x = 1
x = 1/0.45
x= 2.22 gallons of total mix.
∴ Water in this mix which have 45% of antifreeze is (2.22 - 1) gallons which is = 1.22 gallons of water.
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If you brush your teeth twice a day and leave the water running when you brush, how many gallons of water will you waste in one day? In two days? In a week? A month? Any number of days?”
Answer:
Well on average if you leave the water running that's about 4 gallons the first time you brush your teeth. So brushing your teeth twice a day would be on averge 8 gallons a day.
Step-by-step explanation:
Hope this helps......if not sorry for wasting your time and may God bless you<3
15. Find the following bases.
a. 8% of ? = 20
b. 75% of ? = 30
c. 20% of ? = 45
d. 150% of ? = 36
−5x+2y=−19 please help
Answer:
-9.5, -7, 5
Step-by-step explanation:
We need to make this a readable function. We will change it to slope-intercept form, y = mx + b. to do this, we must isolate the variable y.
-5x + 2y = -19
-5x + 2y + 19 = -19 + 19
-5x + 2y + 19 = 0
-5x + 2y - 2y + 19 = -2y
-5x + 19 = -2y
We are solving for positive y, so we will flip all signs in the equation.
5x + - 19 = 2y
5x/2 - 19/2 = 2y/2
2.5x - 9.5 = y
y = 2.5x - 9.5
There's our y = mx + b. We now need to solve for each ordered pair.
y = 2.5(0) - 9.5
y = -9.5
(0, -9.5)
y = 2.5(1) - 9.5
y = 2.5 - 9.5
y = -7
(1, -7)
2.5x - 9.5 = 3
2.5x - 9.5 + 9.5 = 3 + 9.5
2.5x = 12.5
2.5x/2.5 = 12.5/2.5
x = 5
(5, 3)
Maite takes a car to a title loan business to borrow some money. Maite is given $3,500.00. She must pay back the
$3,500.00 in addition to a $1,025.00 fee in 9 months. What simple interest rate is she being charged?
The simple interest rate being charged by Maite is 39.04%
As we are provided with the information that principal amount is $3,500.00 and the interest amount Maite has to pay is $1,025.00 which has to be paid after 9 months and we need to calculate the simple interest rate she is being charged
The formula for calculation of simple interest = P R T / 100
where P is the principal amount, R is the rate of interest and T is the time for which the loan is taken
1025 = 3500 × R × (9/12) / 100
1025×100 = 3500×R×9/12
102500 ×12/3500= 9R
351.4 =9R
R= 39.04%
Hence the simple interest rate being charged by Maite is 3.90%
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4. Devon records 4 hours of reality shows on her
DVR. She records comedy shows for 3/8 of that
amount of time. Devon watches all the reality
and comedy shows in half-hour sittings.
a. Find the number of hours of comedy shows
that Devon records.
b. Find the total number of hours of reality and
comedy shows that Devon records.
c. Find the number of half-hour sittings needed
to watch all the shows.
A,b,or c
The number of hours of comedy shows that Devon records is 1 1/2 hours or 1.5 hours.
What is the straightforward meaning of time?
Duration is the length of time, either measured or unmeasured, that an action, process, or situation lasts or continues. A non-spatial continuum that is measured in terms of events that follow one another from the past through the present and into the future is known as a continuum (b). c: reading time in your free time.Devon records reality shows on her dvr for the time of = 4 hours
She records comedy shows 3/8 of the amount of time.
The time of recording comedy shows = 3/8 of 4 hours
= 3/8 × 4
= 12/8
= 3/2
= [tex]1\frac{1}{2}[/tex]
The number of hours of comedy shows that Devon records is 1 1/2 hours or 1.5 hours.
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Find the equation of the line that is parallel to -x+2y=7 and passes through (4,3)
the equation of the line that is parallel to the line - x + 2 y = 7 is - x - y + 7 = 0.
We know that, if the lines are parallel, then their slopes are equal.
We have the line:
- x + 2 y = 7
Slope = - 1
Now, we have the point ( 4, 3)
So, the equation of the line will be:
y - y₁ = m ( x - x₁ )
Substituting the values, we get that:
y - 3 = - 1 ( x - 4 )
y - 3 = - x + 4
x + y - 3 - 4 = 0
x + y - 7 = 0
- x - y + 7 = 0
Therefore, the equation of the line that is parallel to the line - x + 2 y = 7 is - x - y + 7 = 0.
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A woman is 43 years old, and her daughter is 15 years old. How many years will
it be before the woman's age is just twice her daughter's?
Answer:
13.
Step-by-step explanation:
1) if the required number of years is 'x', then it is possbile to make up the equation:
43+x=2(15+x);
2) finally, x=13 [years].
Question 6
What is the correct algebraic expression for the word problem phrase: "twice the sum of a number
and 4”
- - - - - - - - - - - - - - - - - - - - - - - -
Help below. Enjoy!
- - - - - - - - - - - - - - - - - - - - - - - -
"Twice the sum of a number and four"- that's a bit to take in. Let's break it up.
Twice the sum of a number - that's double the sum of an unannounced number, so let's call it "n"
2(n +)
and four - Add four.
2(n + 4)
- - - - - - - - - - - - - - - - - - - - - - - -
This should work. If not, please leave a comment and I'll try my best to help!
(Please consider leaving a Brainly, as it will be greatly appreciated!)
~pinetreee
The cost for a salad depends on its weight, x, in ounces, and is described
by c(x) = 4.5+ 0.32x. Describe how c(x) is related to its parent function and
interpret the function in the context of the situation.
The relationship c(x) = 4.5+ 0.32x it is a linear relationship.
The factor 0.32 is used to reduce the cost of the weight before adding to the fixed cost of 4.5
Given data
c(x) = 4.5+ 0.32x
How c(x) is related to its parent functionThe relationship c(x) = 4.5+ 0.32x it is a linear relationship. It can be compared to the equation of a straight line which is
y = mx + c
m is the slope and c is the y intercept
The comparison shows that
y = c(x)
c = 4.5
m = 0.32
Interpreting the function in the context of the situationIf the cost is related with the relationship c(x) = 4.5+ 0.32x.
it can be seen that even when there is no weight or no salad that is at x = 0 the cost is c = 4.5.
This means that there is a fixed cost of 4.5 for any salad weight, in ounces bought.
The factor 0.32 is used to reduce the cost of the weight before adding to the fixed cost of 4.5.
The 0.32 is a reduction factor because the value is less than 1 and will reduce any number it multiplies.
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Determine whether the following relation represents y as a function of x.
((4, 2), (-9, 4), (-7, 3), (1, 5), (8, 12))
function
O not a function
missions Used
range
Submit Answer
MY NOTES
If the relation represents a function, find the domain and range. (Enter your answers as a comma-separated list. If the relation is not a function, enter NONE in the domain and range answer blanks.)
domain
ASK YOUR TEACHER
Answer:xet1234567890987654323456789
Step-by-step explanation:
87654323456789098765434567890
Triangle ABC is transformed to Triangle XYZ. If A(2, 4), B(-1, 0), and C(3, -7) are the points given... The following transformations occured: Refection over the line y=x, rotation 90° counterclockwise, and translation (x + 2, y - 5). Where will point Y be after the transformation? Y( , )'
Points of the triangle ABC after rotating counter-clockwise 90° and translation of [(x+2),(y-5)] will be a triangle XYZ which has points of XYZ, X(6,-7), Y(2,-4), and Z(-5,-8).
What are translations?Translations are of 4 types they are rotation, dilation, translation and reflection.
We know when the rotation of 90° counter-clockwise takes place we switch the coordinates (x,y) to (y,x) and make x negative which is (y,-x).
Given a triangle ABC with points A(2, 4), B(-1, 0), and C(3, -7) rotated 90° to form another triangle XYZ.
∴ Points of triangle XYZ will be X(4,-2), Y(0,1), and C(-7,-3).
Now we translate these points by [(x+2),(y-5)].
∴ Points of triangle XYZ will be X(6,-7), Y(2,-4), and Z(-5,-8).
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given line m graphed on the grid shown which of the following would be the slope of a line perpendicular to m
The correct option is (3) 5/2
The slope of a line perpendicular to m is 5/2.
What is slope of a line ?The slope of a line can be find by dividing its vertical change, or the rise of line by its horizontal change or the run . No matter which two locations on the line you choose, the slope of a line is always constant (it never varies). The word "slope" is represented by the letter "m," and it describes how steep a line is.
In the given question,
from the graph take any two points on the line say point A (2,1) and point B (-3,3)
now using the slope formula,
slope = m1 = [tex]\frac{delta \ Y}{delta \ X} = \frac{y2-y1}{x2-x1}[/tex]
=> m1 = [tex]\frac{3-1}{-3-2} = - \frac{2}{5}[/tex]
Now, for perpendicular lines:
m1.m2 = -1
=> m2 = 5/2
Thus, slope of a line perpendicular to m is 5/2.
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The complete question is:
Given line m graphed on the grid shown, which of the following would be the slope of a line perpendicular to m ?
(1) -3 /2
(2) 7/3
(3) 5/2
(4) -3/4
CAN SOMEONE HELP PLS, THE PICTURE IS ALREADY ATTACHED JUST GIVE ME THE ANSWER AND EXPLAIN!!
Answer:
I cant see the picture that clearly but it looks like it'll be about $6.50
it's kinda blurry
Step-by-step explanation:
Find the formula for the nth term of the following sequence:
648, 108, 18, 3...
Include "n=" in your answer, and do not use any spaces.
Answer:
648, 108 , 18, 3
divide all with 3
216,36,6,1
which means 6³,6²,6¹,6⁰....can be written as
[tex] {6}^{4 - 1} \: \: {6}^{4 - 2} ...so \: on \\ [/tex]
[tex]so \: \: pattern = \\ n = {6}^{4 - n} \times 3[/tex]
5,250 ÷ 6
hi i likkke fish
Answer:
875
Step-by-step explanation:
Answer:
the answer is 875
your welcom =D
A water bird is flying 11 feet above the surface of a pond.
It dives 15 feet down and then rises 3 feet to catch a fish.
What is the new position of the bird relative to the
surface of the water?
The bird is 1 feet below the pond relative to the surface of the water.
It is given that the bird is flying 11 feet above the pond.
So, the distance between flying bird and surface of pond = 11 Feet
Dive :
Plunge steeply downward through the air or plunge head first into water.
After diving 15 feet down, it means that the bird is 4 feet under the pond as bird was flying 11 feet above the surface of pond.
So, the distance between surface of pond and the bird after diving down = 4 Feet
After that, it says that bird rises 3 feet to catch the fish,
So, after rising 3 feet above in the pond the distance between surface of pond and the bird is 1 feet.
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