mean: 25 minutes
standard deviation: 6.1 minutes
A 11 minutes commute time is 2.30 standard deviations away from the mean. In this case, we have, for a normal distribution:
[tex]P(x<11)=P(x<\mu-2.3\sigma)=0.0107[/tex]Question is down below
Answer:
g(x) = -|x+12|
Step-by-step explanation:
Harry’s company can store 50,000 units of their new product in the warehouse, the maximum capacity for the warehouse. They sold 20,000 in pre-orders that will need to be shipped immediately. They can produce 3000 units per week, and they are receiving 1500 orders per week. How long will it take to fill the warehouse to maximum capacity based on the current production rate?
The company will take 47 weeks to fill the warehouse to its maximum capacity based on the current production rate.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Maximum capacity for the warehouse = 50,000 units
Pre-orders = 20,000 units
Number of units produced per week = 3000 units
Number of orders per week = 1500 units
The number of weeks to fill the warehouse to its maximum capacity:
We can make an equation as:
3000M - 1500M - 20,000 = 50,000 ____(1)
M = number of weeks
From (1) we get,
M ( 3000 - 1500 ) - 20,000 = 50,000 ____(2)
1500M - 20,000 = 50,000
1500M = 50,000 + 20,000
1500M = 70,000
M = 46.66 weeks
M = 47 weeks
We can also see that,
From (2),
M ( 3000 - 1500 ) - 20,000
47 x 1500 - 20,000
70,500 - 20,000
50,500
Thus,
The company will take 47 weeks to fill the warehouse to its maximum capacity based on the current production rate.
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find the estimated quotient.
1. 4234 devide 51
The estimated quotient of the division is 83.
In mathematics, a quotient is a quantity created by the division of two integers (from the Latin quotients, meaning "how many times").
The term "quotient" is used frequently in mathematics, and it can also refer to a fraction or a ratio as well as the integer portion of a division (in the case of Euclidean division)(in the case of proper division). For instance, the quotient in the sense of Euclidean division is "6 with a remainder of 2" when 20 (the dividend) is divided by 3 (the divisor).The most common way to represent the quotient is as two integers or two variables split by a horizontal line. The terms "dividend" and "divisor" relate to each component separately, whereas "quotient" describes the entire thing.Now let us divide 4234 by 51.
4234 ÷ 51 = 83.019...
Therefore the quotient is 83
4234 divided by 51 gives quotient 83 and remainder 1 .
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While visiting Salem Connor can pay a flat rate of $10 for parking or $5 per hour. For the length of time that Connor wants to park in Salem, the two options are actually equivalent in terms of cost. How much will Connor pay
let
x = length of time Connor will spend
If ABCD is dilated by a factor of, thecoordinate of A' would be:65CB21-6-5-4 -3 -2 -1 0-1A3NO2-31toD34 5A'=([?].[ ])
A' = (-2, -1)
Explanation:ABCD is dilated by a factor of 1/2
That is, scale factor = 1/2
From ABCD:
The coordinate of A = (-4, -2)
That is, x = -4
x' = 1/2 x -4
x = -2
y' = 1/2 x -2
y' = -1
A' = (-2, -1)
In the United States, the relative risk of a woman getting multiple sclerosis (MS) compared to a man is 2.82.
Complete the sentence by selecting the best choice:
Compared to men, ____________ proportion of women get MS.
a. the same
b. a smaller
c. a larger
The percentage of women who get MS is 0.59%. What percentage of men get MS?
Compared to men,b. a smaller proportion of women get MS.
MS, resulting in nerve damage disrupts conversation between the mind and the body, more than one sclerosis causes many specific signs and symptoms, which include imaginative and prescient loss, pain, fatigue, and impaired coordination.
The signs, severity, and duration can vary from person to man or woman. a few people may be symptom-unfastened most of their lives, at the same time as others can have excessive continual signs that by no means go away. Physical therapy and medicinal drugs that suppress the immune machine can assist with signs and gradual disorder development.
Multiple sclerosis can weaken the muscle tissues that manage the lungs. Such breathing problems are the essential reason for sickness and demise in people in the very last stages of MS. Spasticity or growth in stiffness and resistance as a muscle is moved can impair motion and motive aches and other issues.
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escribe, in words, how you would move triangle ABC directly on top of triangle DEF so that it matches uI wouldB.А.EDSubmit
For this case our reference triangle is ABC and we want to describe what we need to do in order to obtain the triangle DEF
And for this case we can use the coordinate of A and F as reference
A=(2,5)
B=(15,3)
And we can find the transformation on this way:
[tex]\Delta x=15-2=13[/tex][tex]\Delta y=3-5=-2[/tex]So we can move the triangle 13 units to the right and 2 units down respect to the A coordinate and we will get the result of the triangle DEF
Complete the table by evaluating the function h(x)=−2x−5 for the given values of x.
The function h(x) is defined as:
[tex]h(x)\text{ = }-2x\text{ - 5}[/tex]We can find the value of the h(x) at different values of x by substituting the value of x into the function
When x = -2:
[tex]\begin{gathered} h(x=-2)\text{ = -2(-2) - 5} \\ =\text{ 4 - 5} \\ =\text{ -1} \end{gathered}[/tex]When x =-1:
[tex]\begin{gathered} h(x\text{ = -1) = -2(-1) - 5} \\ =\text{ 2 - 5} \\ =\text{ -3} \end{gathered}[/tex]When x =1:
[tex]\begin{gathered} h(x\text{ =1) = -2(1) -5} \\ =\text{ -7} \end{gathered}[/tex]T
A particular disease is tested for results determine that it occurs in about 1 of every 425 Black males and every 102,000 non black males. Find the empirical probability that a randomly selected black male will have this disease
The empirical probability would be:
(number of males that tested positive)/(total number of black males tested)
1/425 (Based on the information given)
The answer is 1/425 or 0.00235(written as a decimal)
Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(-4) = -11 B. g(-13) = 20 C. g(7) = -1 D. g(0) = 2
The true statement is g(-13)= 20.
What is domain and range?In mathematics, a function is represented as a rule that produces a distinct result for each input x. Mapping or transformation is used to denote a function in math. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
domain = -20 ≤ x ≤ 5
and a range = -5 ≤ g(x) ≤ 45
and g(0) = -2 and g(-9) = 6
First, g(-13)= 20
x=-13 is in our domain and 20 is also in our range .
So this is true for g(-13)= 20.
Now, g(-4) = -11
-11 does not comes under the range.
So this statement is not true.
Again, g(0) = 2 is false because g(0) = - 2.
and, g(7) = -1 D
7 is not in our domain .
So g(7) is not possible
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Recall that two angles are complementary if the sum of their measures is 90°.
angles if one angle is eight times the other angle.
Find the measures of two complementary
Larger angle = L°
Answer:
See below
Step-by-step explanation:
L + 1/8 L = 90
L = 90 / ( 9/8) = 80° smaller = 10 degrees
EASY) write and equation for x then solve for x
Answer:
[tex]\large\boxed{\tt x = 23^{\circ}}[/tex]
Step-by-step explanation:
[tex]\textsf{We are given 2 \underline{Linear Pairs}. We are asked to form an equation, and to solve for x.}[/tex]
[tex]\large\underline{\textsf{What are Linear Pairs?}}[/tex]
[tex]\textsf{Linear Pairs are 2 Adjacent Angles that form a 180}^{\circ} \ \textsf{angle, or add up to 180}^{\circ}.[/tex]
[tex]\textsf{For our problem, these 2 angles given to us are Linear Pairs, which equal 180}^{\circ}[/tex]
[tex]\textsf{when added together. Let's create an equation to find x.}[/tex]
[tex]\large\boxed{\tt 180^{\circ}=93^{\circ} + (3x+18)^{\circ}}[/tex]
[tex]\textsf{Now, let's solve for x by using the \underline{Properties of Equality}.}[/tex]
[tex]\large\underline{\textsf{What are the Properties of Equality?}}[/tex]
[tex]\textsf{The Properties of Equality are Properties that allow us to manipulate equations.}[/tex]
[tex]\textsf{There are 9 properties of equality that we can use, each allowing us to simplify}[/tex]
[tex]\textsf{one side of an equation. These properties are mainly used to find missing variables.}[/tex]
[tex]\textsf{Let's solve for x by using the Properties of Equality.}[/tex]
[tex]\large\underline{\textsf{Solving for x;}}[/tex]
[tex]\tt 180^{\circ} = 93^{\circ} + 3x^{\circ}+18^{\circ}.[/tex]
[tex]\textsf{Let's first Combine Like Terms.}[/tex]
[tex]\tt 180^{\circ} = \boxed{\tt 93^{\circ}} + 3x^{\circ}+\boxed{\tt 18^{\circ}}[/tex]
[tex]\tt 180^{\circ} = 111^{\circ} + 3x^{\circ}[/tex]
[tex]\textsf{Now, let's use the Subtraction Property of Equality which states that if 2 same}[/tex]
[tex]\textsf{numbers are subtracted from both sides of the equation, then both expressions}[/tex]
[tex]\textsf{still equal each other. Let's subtract 111 from both sides of the equation.}[/tex]
[tex]\tt 180^{\circ} - 111^{\circ} = 111^{\circ} - 111^{\circ} + 3x^{\circ}[/tex]
[tex]\tt 69^{\circ} = 3x^{\circ}[/tex]
[tex]\textsf{Let's use the Division Property of Equality, which is similar to subtraction but it's}[/tex]
[tex]\textsf{for division. Divide each side of the equation by 3.}[/tex]
[tex]\tt \frac{69^{\circ}}{3} = \frac{3x^{\circ}}{3}[/tex]
[tex]\large\boxed{\tt x = 23^{\circ}}[/tex]
What is the car’s speed in miles per minute, & how many miles will the car travel in 20 minutes?
Ok, so
We know that the car is travelling at a speed of 39miles/hour. The car's speed in miles per minute will be:
[tex]39\frac{miles}{hour}\cdot\frac{1hour}{60minutes}=0.65\frac{miles}{\min ute}[/tex]Now, we're asked to find how many miles the car will travel in 20 minutes. This is:
[tex]0.65\frac{miles}{\min ute}\cdot20\min utes=13miles[/tex]Help pls im horrible at math
Answer:
84
- 0
92
- 88
44
- 44
= 0
Step-by-step explanation:
12 cos^2 ( x ) − sin ( x ) − 6 = 0
The solutions to the trigonometric equation 12cos²(x) - sin(x) - 6 = 0 are given as follows:
x = 42º and x = 228º.
What is the solution to the trigonometric equation?The equation is given as follows:
12cos²(x) - sin(x) - 6 = 0
The following identity is applied:
sin²(x) + cos²(x) = 1.
Hence:
cos²(x) = 1 - sin²(x).
Replacing this identity into the equation, we have that:
12(1 - sin²(x)) - sin(x) - 6 = 0
12 - 12sin²(x) - sin(x) - 6 = 0
12sin²(x) + sin(x) - 6 = 0.
The following transformation is applied:
y = sin(x).
Hence the equation is:
12y² + y - 6 = 0.
Which, using a calculator, has the solutions given by:
y = -3/4, y = 2/3.
Then the solutions for the variable x are given as follows:
sin(x) = -3/4 -> x = arcsin(-3/4) = 228º.sin(x) = 2/3 -> x = arcsin(2/3) = 42º.Missing informationThis problem is incomplete and could not be found on any search engine, hence we are going to suppose that it asks for the solutions to the equation.
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||| GEOMETRY Area of a piecewise rectangular figure Find the area of the figure. (Sides meet at right angles.) ہے 5 cm 8 cm 3 cm 3 cm 8 cm 0 2 cm
Given: A piecewise rectangular figure is given.
Required: To determine the area of the given figure.
Explanation: The area of the given figure can be determined by splitting the figure into two squares as shown below:
Now the figure is divided into a square with an edge of 3 cm and a rectangle of 8 cm by 5 cm.
And the area of the square is
[tex](edge)^2[/tex]And the area of a rectangle is the product of length by breadth.
Hence, the area of the figure is-
[tex]\begin{gathered} A=(8\times5)^+(3)^2 \\ =40+9 \\ =49\text{ cm}^2 \end{gathered}[/tex]Final Answer: The area of the figure is 49 square centimeters.
Below is the graph of y = f(x).Translate it to make it the graph of y=f(x) - 2.
Answer:
Hold the point (2,1) and drag it down until it is at the point (2, -1).
Explanation:
Given the graph of y=f(x).
If we have:
[tex]y=f(x)-2[/tex]This is a Vertical Translation Down by 2 units.
This means we shift the graph of y=f(x) down by 2 units.
From the graph:
In y=f(x), we have a point (2,1).
[tex](2,1)\to(2,1-2)=(2,-1)[/tex]Hold the point and drag it down until it is at the point (2, -1).
compute the finance charge, at 3% for one month on average daily balance of $268.42
Finance charge = average daily balance * interest rate * time period
Given:
average daily balance of $268.42
interest = 3% = 0.03
Time period = 1 month
so,
Finance charge = 268.42 * 0.03 * 1 = $8.0526
so, the answer is option B) $8.05
55. Each unit on the map represents 5 miles. What is the actual distance from Oceanfront to Seaside?ע86Seaside. 42-8 642468xLandviewOceanfront6-8A. about 8 milesB. about 10 milesC. about 50 milesD. about 40 miles
Given:
The coordinates of the Oceanfront, (x1, y1)=(3, -2).
The coordinates of the Seaside, (x2, y2)=(-2,4).
The distance between the points corresponding to Oceanfront and Seaside is,
[tex]\begin{gathered} D=\sqrt[]{(x2-x1)^2+(y2-y1)^2} \\ =\sqrt[]{(-2-3)^2+(4-(-2)^2} \\ =\sqrt[]{(-5)^2+6^2} \\ =\sqrt[]{25+36} \\ =\sqrt[]{61} \end{gathered}[/tex]It is given that one unit represents 5 miles.
So, the actual distance between Oceanfront and Seaside is,
[tex]\begin{gathered} d=5D \\ =5\times\sqrt[]{61} \\ \cong40\text{ miles} \end{gathered}[/tex]Therefore, actual distance between Oceanfront and Seaside is about 40 miles.
Part A What is the ratio of the number of steps to the number of minutes?
Number of step = 52
Minute = 1 minute
The ratio of the number of steps to the number of minutes is
52 : 1
Hello! I need some assistance with this homework question, pleaseQ14
Recall that the graph of a function h(x), translated n units to the right is represented by the function
[tex]h(x-n)\text{.}[/tex]Therefore, y=f(x-2) represents the graph of f(x) translated 2 units to the right.
Answer:
Then the graph of y=f(x-2) may be obtained by a horizontal shift of the graph of f to the right a distance of 2 units.
Help meeeeeeeeeeeeeeeeeeeeeee
Answer: 120 degrees
Step-by-step explanation:
=4(+) solve for d, how do I love for this equation?
2.
3.
James has 28 marbles. He puts them into 4 bags.
He puts the same number of marbles in each bag.
How many marbles are in each bag?
Answer:
Wendy has 36 books. She has a bookshelf with 6 shelves
on it. If Wendy puts the same number of books on each
shelf, how many will be on each shelf?
Answer:
Pat is having a picnic for her family. She has 42 cookies.
There are 7 people in her family. If each person gets the
same number of cookies, how many cookies will each
person get?
Answer:
Answer:
Step-by-step explanation:
1. 7
2. 6
3. 6
The front of a big wave is approaching a beach at a constant speed of 11.6ms-! When it is 30 m away from a boy on the beach, the wave starts decelerating at a constant rate of 1.6 ms-2 and the boy walks away from the sea at a constant speed of 2 ms-! Show that the wave will not reach the boy and find the minimum distance between the boy and the wave.
Answer:
minimum distance between the boy and the wave is 1.2 m
Step-by-step explanation:
Use v = u + at, with v as 0, to find how long it takes for the wave to decelerate to 0 m/s.
0 = 11.6 - 1.6t
t = 7.25s
Then find how far the wave has traveled by substituting in s = ut + 1/2 at²
s = 11.6 * 7.25 + 1/2(-1.6)(7.25²)
s = 42.05m
Find out how far the he has traveled in the same time
s = vt + 30 (since he was 30m ahead)
s = 2*7.25 + 30
s = 44.5m
The boy has traveled a greater distance so the wave does not reach by the time it decelerates to 0m/s
Find the time at which the wave reaches a speed of 2m/s.
v = u + at
2 = 11.6 - 1.6t
t = 6s
Now find the distance traveled by the wave in that time
s = ut + 1/2 at²
s = (11.6*6) + 1/2(-1.6)(6²)
s = 40.8m
Now find the distance traveled by the boy in that same time
s = vt + 30
s = 2*6 + 30
s = 42m
Find the difference, which is the minimum separation
42 - 40.8 = 1.2m
need answer asap ty
dividing integers
-56 ÷ 8
-72 ÷ (-9)
-24 ÷ (-6)
75 ÷ (-5)
-84 ÷ 7
answer 1=-7
2=8
3=4
4=15
5=12
2012Active12310TIME REMAINING52:12Five students, Adriana, Ben, Chandra, Diana, and.Ernesto, would each like one of the four spots at theregional science fair. Their names are placed in a hat, and four names are chosen at random to decide whoattends the fair.What is the theoretical probability that Chandra will be chosen as one of the science fair participants?25%60%75%80%
1) Fo
Adriana
Ben
Chandra
Diana
Ernesto
Expand and simplify 3(x+2) + 4(2x+1)
Answer:
11x+10
Step-by-step explanation:
Distribute the GCF:
3(x+2) = 3x+6
4(2x+1) = 8x+4
(3x+6)+(8x+4)
Add the expressions:
(3x+6)+(8x+4) = 11x+10
Hope that helps
Which of the functions below have period 2π? Check all that apply.
We need to select all the functions from the options that have a period of 2π.
If a function has period P, the function f(x) repeats its values every time x is a multiple of P.
Thus, by analyzing the graph of periodic functions, we can determine their period.
Observe the graphs of the following functions:
Notice that the functions y = tan x and y = cot x have period π.
And the functions y = csc x and y = sec x have period 2π.
Therefore, the functions that have period 2π are:
A. y = csc x
B. y = sec x
A spinner with 12 equally sized slices has 5 blue slices and 7 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red slice
Answer:
0
There are no red slices, so the probability is 0.
