Answer:
1/8
Step-by-step explanation:
The probability of rolling an even number on one roll is 3/6 = 1/2. Assuming the rolls are independent, the probability of rolling an even number 3 times is ...
(1/2)(1/2)(1/2) = 1/8
The probability that Nancy rolls all even numbers in 3 rolls is 1/8.
The probability that she will roll all even numbers is 1/8.
It should be noted that there are 6 numbers in one roll of a dice. Therefore, there are 3 even numbers and 3 odd numbers.
The probability of getting even numbers in one roll will be:
= 3/6 = 1/2
The probability that she will roll all even numbers will be:
= 1/2 × 1/2 × 1/2
= 1/8
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The Friendly Sausage Factory (FSF) can produce hot dogs at a rate of 5,750 per day. FSF supplies hot dogs to local restaurants at a steady rate of 270 per day. The cost to prepare the equipment for producing hot dogs is $67. Annual holding costs are 47 cents per hot dog. The factory operates 297 days a year. Find
A) The optimal run size.
B) The number of runs per year.
C) The length (in days) of a run.
Answer:
A) 22812 hotdogs per run
B) 75 runs/yr
C) 4 days in a run
Step-by-step explanation:
We are given;
Production rate;p = 5750 per day
Steady Usage rate;u = 270 per day
Setup cost of hotdog;S = $67
Annual carrying cost (H) = 47 cents = $0.47 per hot dog
No. of Production days; d = 297 days
A) Let's first find the annual demand given by the formula;
Annual demand;D = pd
D = 5750 × 297
D = 1707750 hot dogs/yr
Now, formula for optimal run size is given by;
Q_o = √[(2DS/H) × (p/(p - u))]
Plugging in the relevant values gives;
Q_o = √[(2 × 1707750 × 67/0.47) × (5750/(5650 - 270))]
Q_o =√520375454.7971209
Q_o = 22812 hotdogs per run
B) formula for Number of runs per year is given as;
No. of Runs = D/Q₀
Thus;
no. of runs = 1707750/22812
no. of runs ≈ 75 runs/yr
C) Length of a run is given by the formula;
Length = Q₀/p
Length = 22812/5750
Length ≈ 4 days in a run
What is half of 30?????
Half of 30 is 15. You can obtain this by dividing it by 2 or multiplying it by 1/2.
You decide to hike up a mountain. You climb steadily for 2 hours, then take a 30 minute break for lunch. Then you continue to climb, faster than before. When you make it to the summit, you enjoy the view for an hour. Finally, you decide to climb down the mountain, but stop halfway down for a short break. Then you continue down at a slower pace than before. Is the graph discrete or continuous?
Answer:
The graph is continuous.
Step-by-step explanation:
A continuous graph is depicted with straight smooth lines and not plot points as in a scatter graph. On the other hand, discrete graphs represent values at specific points along the number line. The most common discrete graphs are those that represent sequences and series. Since, these discrete graphs do not possess a smooth continuous line, they rather have plot points above consecutive integer values, unlike some continuous line graphs.
Please help........................
Answer:
a. (0,0), (2,0), (4,0)
b. (0,0)
Step-by-step explanation:
To find the x-intercept points, you set the equation equal to 0.
0=x³-6x²+8x [factor out an x]
0=x(x²-6x+8) [factor (x²-6x+8)]
0=x(x-2)(x-4) [set each factor equal to 0]
x=0
x-2=0 [add both sides by 2]
x=2
x-4=0 [add both sides by 4]
x=4
Now, we know our x-intercept points: (0,0), (2,0), (4,0).
To find the y-intercept points, we know that it is located on the y-axis, meaning x=0. We plug in 0 for x, and we will know our y-intercept point.
y=(0)³-6(0)²+8(0) [multiply]
y=0
The y-intercept point is (0,0).
). How many dots do you see from the figure below? (Find patterns, don’t just count).
Answer:
where is the figure or picture
F(x)=x^2+7x-30
Find the intercepts, domain and range
Answer:
domain (-inf, +inf)
range [-30, +inf)
y-int = -30
x-int = -10, 3
Step-by-step explanation:
Explain the difference between congruence and equality. Use an example. GIVING BRAINLIEST!!!!!!!!
Answer:
Congruence is a relationship of shapes and sizes, such as segments, triangles, geometrical figures, while equality is a relationship of sizes, such as lengths, widths, heights.
Congruence deals with objects while equality deals with numbers. You wont say that two shapes are equal or two numbers are congruent.
Step-by-step explanation:
A bulb after certain testing had a life of 25 months. The standard deviation based on this sample of size one is
Answer:
25 monthsStep-by-step explanation:
Using the formula for calculating the standard error of the mean to get the standard deviation. The standard error of the mean is expressed as;
SE = S/√n where;
S is the standard deviation
n is the sample size
Given SE = 25 months and n = 1, on substituting this parameters into the formula, we will have;
25 = S/√1
25 = S/1
cross multiply
S = 25*1
S = 25 months
Hence the standard deviation based on the sample is 25 months
Use the given conditions to write an equation in slope-intercept form. slope = 7, passing through (1,-3) My suggestion is to first write in point-slope form then rearrange equation into slope-intercept form
Answer:
Step-by-step explanation:
y + 3 = 7(x - 1)
y + 3 = 7x - 7
y = 7x - 10
Which of the following statements is true about a distribution that appears to have a gap when displayed as a histogram? The distribution must have an outlier. The distribution must have an outlier. A The distribution has a region between two data values where no data were observed. The distribution has a region between two data values where no data were observed. B The distribution is approximately normal. The distribution is approximately normal. C The distribution cannot be symmetric. The distribution cannot be symmetric. D The distribution must be bimodal. The distribution must be bimodal. E
Answer:
Option B is correct - The distribution has a region between two data values where no data were observed.
Step-by-step explanation:
To answer this question, i would use a sample histogram to explain the gaps in a histogram.
For example, a histogram has been attached.
The histogram has been plot to show the average height of children of different ages in a particular year.
From the attached image, we can see that all the bars represent average height of different ages.
Now, if one of the bars was to be empty which in this case means that the value there is zero and there is a gap. Since the bar is to represent average height of a particular age, it means that there was no data collected for that age as height cannot be zero!
This same reason applies generally to gaps in histogram which means that no data was collected for that particular bar region.
Thus, Option B is correct - The distribution has a region between two data values where no data were observed.
Find the midpoint of PQ. SEE
17. P(3, 5), Q(-2, 13)
18. P(-2, 2.5), Q(1.4, 4)
19. P(4 1/3, 3 1/6), 0(-2 1/5, 3 2/3)
Answer:
17. (1.5,9);
18.(-0.3,3.25)
19.(1.06,3.41)
The required midpoints are Mx(1/2, 9), My (-0.3, 3.25), and Mz(1 1/5, 3 1/4).
The midpoint is that point the line whose distance from both the ends of the line is equal.
Here,
The midpoint between two coordinates (x, y) and (a, b) can be given as M(s, t)
s = x +a /2 ; t = y + b / 2
MIdpoints
For P(3, 5), Q(-2, 13)
s = 3 - 2 / 2 ; t = 5 + 13 /2
s = 1 / 2 ; t = 9
Midpoint Mx(1/2, 9)
For P(-2, 2.5), Q(1.4, 4)
s = -2 + 1.4 / 2 ; t = 2.5 + 4 / 2
s = -0.3 ; t = 3.25
Midpoint My (-0.3, 3.25)
For P(4 1/3, 3 1/6), Q (-2 1/5, 3 2/3)
s = (4 1 / 3 - 2 1/5 ) / 2 ; t = (3 1/6 + 3 2/3) / 2
s = 1 1/15 : t = 3 1/4
Midpoints Mz(1 1/5, 3 1/4)
Thus, the required midpoints are Mx(1/2, 9), My (-0.3, 3.25) and Mz(1 1/5, 3 1/4).
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Question 1
34 pts
Identify the type of data that would be used to describe a response for the question, "What is your
favorite movie?"
O quantitative discrete
O quantitative continuous
O qualitative
Question 2
33 pts
Answer: C) Qualitative
The response isn't a numeric value, but rather a name instead. So that's why we have qualitative data here. Specifically, it is nomimal as it deals with names or labels. The data is not ordinal as we cannot sort the labels.
PLEASE HELP ME!!! AWARDING BRAINLIEST!!! MATHEMATICS
6x-6
Step-by-step explanation:
add both equations together, then multiply that by 2
2*(2x+3+x-6)
Answer:
6x and -6
Step-by-step explanation:
2x+3 * 2 4x+6
x-6 * 2 = 2x-12
4x+6 + 2x-12 = 6x and -6 inches
Write an equation of the line that passes through the points (1,-4) and (2,-1).
An equation of the line is y=
]
PLEASE HELP!!
Answer:
y = 3x -7
Step-by-step explanation:
The 2-point form of the equation of a line is useful for this.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (-1 -(-4))/(2 -1)(x -1) -4
y = 3(x -1) -4
y = 3x -7
50pts.
A problem states: "There are 2 more horses than cows in a field. There are 16 animals in the field in all. How many horses are there in the field?" Let c represent the number of cows. Which equation represents the situation?
c + 2 = 16
2c−2=16
2(c+2)=16
2c + 2 = 16
Answer:
2c + 2 = 16
Hope this helps :)
find the product of 7 and 4.76
Multiply from right to left:
Step 1: multiply 6*7 and get 42. Carry the 4 left.
Step 2; multiply 7*7 to get 49. Add the 4 and get 53. Carry the 5 left.
Step 3: multiple 4*7 to get 28. Add 5 and get 33.
Step 4: move the decimal point 2 times to the left.
4.76
*7
_______
33.32
Sammy's pizza shop charges $12 for a large pizza in $2.50 per topping. If a pizza cost $19.50 how many toppings are on the pizza?
Answer: 3 toppings
Step-by-step explanation:
Let x=the number of toppings
12+2.5x=19.5
2.5x=7.5
x=3
Hope this helps!! :)
Please let me know if you have any question
What is the equation in point-slope form of the line passing through (0, 2) and (1,5)?
When is the product of the square root of a prime number and a nonzero rational number a rational number?
Answer:
The square root of a prime number is always an irrational number, then the product of the square root of a prime number and a nonzero rational number is equivalent to:
"the product of an irrational number and a rational number different than zero...."
We know that the product of an irrational number and a rational number (different than zero) is ALWAYS an irrational number.
Then "When is the product of the square root of a prime number and a nonzero rational number a rational number?"
Never, the product will always be irrational.
A drama club has 22 members. Each member pays monthly dues of $18. On the first day of the month, 6 members paid their dues. The remaining members paid their dues on the second day of the month. How much money was collected in dues on the second day of the month?
Answer:
$288
Step-by-step explanation:
A second number is 9 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 760, find the numbers. The three numbers are (Use a comma to separate answers as needed.)
The diameter of a sphere is measured to be 4.17 in.
(a) Find the radius of the sphere in centimeters.
cm
(b) Find the surface area of the sphere in square centimeters.
cm2
(c) Find the volume of the sphere in cubic centimeters.
cm3
Step-by-step explanation:
To find the radius of the sphere we must convert the inches to centimeters
Using the conversation
1 inch = 2.54 cm
If 1 inch = 2.54 cm
4.17 inch = 2.54 × 4.17 = 10.59 cm
a).We can find the radius using the formula
[tex]radius = \frac{diameter}{2} [/tex]
From the question
diameter = 10.59 cm
So we have
[tex]radius = \frac{10.59}{2} [/tex]
radius = 5.30 cmb).Surface area of a sphere= 4πr²
where
r is the radius
Surface area = 4(5.30)²π
= 112.36π
= 352.989
We have the answer as
Surface area = 353 cm²c).Volume of a sphere is given by
[tex] \frac{4}{3} \pi {r}^{3} [/tex]
r = 5.30
The volume of the sphere is
[tex] \frac{4}{3} ( {5.30})^{3} \pi[/tex]
= 623.61451
We have the answer as
Volume = 623.6 cm³Hope this helps you
Erin is considering joining one of 2 swim clubs. The Gators Swim Club has no registration fee, but charges $105 per month. The Tidal Wave Swim Club charges members $80 per month plus a one-time registration fee of $375. For how many months is Gators the cheaper option? Use system of equations and define variables
Answer:
14 months
Step-by-step explanation:
Given
Gator's = $105 monthly charges
Tidal Wave = $375 registration fee + $80 monthly charged
Required
Determine for how many months Gators is cheaper
Let the number of months be x;
Represent the given data, algebraically.
For Gators: 105x
For Tidal Wave: 375 + 80x
Represent the above as a n inequality
Since Gators has to be cheaper; we have
[tex]105x < 375 + 80x[/tex]
Collect Like Terms
[tex]105x - 80x < 375[/tex]
[tex]25x < 375[/tex]
Divide both sides by 25
[tex]x < 15[/tex]
This implies that Gator's will be cheaper for months less than 15
Hence, the number of months is 14
Is how old are you? a statistical question
Answer:
Hey!
NO IT IS NOT A STATISTICAL QUESTION!
Step-by-step explanation:
This is because you are including ONLY YOU...this wont work as statistics take data from a COLLECTION of people or things!
So a better question will be :
HOW OLD ARE THE PEOPLE IN MY NEIGHBORHOOD?
(averages)
HOPE THIS HELPS!!
Which is equivalent to3/4
Answer:
75%
Step-by-step explanation:
Answer:
6/8
Step-by-step explanation:
An easy way to do this is to draw a giant rectangle. when you do you simply want to stay a line going straight across in the middle. draw 3/4 ontop and 6/8 on the bottom. or another fraction that's close to it. then shade in 3/4 and the same with 6/8. if the shading is the same length, that's how you know it's equivalent
In this figure Ab and cd are parallel.
Answer:
figure is not available...
- x+4=-3x + 8
multi-step equations
Answer:
x = 2
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
& is the order of operation.
------------------------------------------------------------------------------------------------------
First, add 3x and subtract 4 from both sides:
-x (+3x) + 4 (-4) = -3x (+3x) + 8 (-4)
-x + 3x = 8 - 4
Simplify. Combine like terms:
3x - x = 8 - 4
2x = 4
Isolate the variable, x. Divide 2 from both sides:
(2x)/2 = (4)/2
x = 4/2
x = 2
x = 2 is your answer.
~
Step-by-step explanation:
this is answer
[tex] - x + 3x = - 4 + 8 \\ 2x = 4 \\ x = \frac{4}{2} \\ x = 2x = 2x = 2[/tex]
16. Write the equation of line that contains
the points (1, 2) and (3, 0).
Answer:
y=-1x+3
I honestly have no idea how I would explain this. Apologies.
Answer:
[see below]
Step-by-step explanation:
Finding Slope:
m = [tex]\frac{rise}{run}=\frac{0-2}{3-1}=\frac{-2}{2}=-1[/tex]
Using the slope and a point to make a point slope equation:
[tex]y-y_1=m(x-x_1)[/tex]
m = -1 (x,y) = (1,2)
Plug values:
[tex]y-2=-1(x-1)[/tex]
Convert the equation into slope-intercept:
[tex]y-2=-1(x-1)\\\\y-2=-1x+1\\\\y-2+2=-1x+1+2\\\\y=-1x+3\\\\\boxed{y=-x+3}[/tex]
Hope this helps.
PLEASE HELP ASAP
You are studying meteorology and collect weather data for Gainesville, FL for the months of April, May, and June 2015. The function T ( x ) = .18 x + 80.25 gives an estimate of the daily high temperature during this period where x is the number of days after April 1, 2015. Evaluate T ( 57 ) (rounded to one decimal place) and then state its physical interpretation. T ( 57 ) =____________
Answer:
90.5
Step-by-step explanation:
T(57)=.18(57)+80.25
T(57)=10.26+80.25
T(57)=90.51 (round to the one descimal place)
your answer would be
T(57)=90.5
The temperature T(57) is 90.5 and it states that the temperature for 57 days from April 1 2015 is 90.5.
Given,
The function T ( x ) = .18 x + 80.25 gives an estimate of the daily high temperature during this period where x is the number of days after April 1, 2015.
We need to evaluate T ( 57 ) (rounded to one decimal place) and then state its physical interpretation.
What is a function?A function has an input and an output.
Example:
f(x) = x + 5
x = 1
f(1) = 1 + 5 = 6
1 = input
6 = output
Find T(x) at t = 57.
We have,
T(x) = 0.18 x + 80.25
T(57) = 0.18 x 57 + 80.25
T(57) = 10.26 + 80.25
T(57) = 90.51
Rounding to one decimal place.
90.51 = 90.5
T(57) = 90.5
T(57) = 90.5 means that the temperature for 57 days from April 1 2015 is 90.5
Thus the temperature T(57) is 90.5 and it states that the temperature for 57 days from April 1 2015 is 90.5.
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6. b. In the figure, suppose CD = 11.5 cm, DE = 5.3 cm, and the
perimeter of the figure is 73.8 cm.
What is GE?
Answer:
GE = 11 cm.
Step-by-step explanation:
The figure provided is attached below.
The information given is:
CD = 11.5
DE = 5.3
BC = 8
AH = 11
Perimeter = 73.8
BC = FG = EF
HA = GH
AB = GE
The perimeter of any figure is the sum of all its sides.
The perimeter of the figure provided is:
Perimeter = AB + BC + CD + DE + EF + FG + GH + HA
Perimeter = AB + BC + CD + DE + BC + BC + HA + HA
[tex]73.8=AB+8+11.5+5.3+8+8+11+11[/tex]
[tex]73.8=AB+62.8[/tex]
[tex]AB=11[/tex]
The value of side AB is 11 cm.
Then the value of GE is also 11 cm.