Answer:
The correct answer is:
0.01$ (c)
Step-by-step explanation:
Standard deviation is a measure of how spread out numbers are from the mean value. The formula for standard deviation is given by:
[tex]s = \sqrt{\frac{\sum(x - \bar x)}{n} } \\where:\\x = sample\ \\\bar x\ = mean\\n\ = number\ of\ samples\[/tex]
Variance is a measure of the squared differences from the mean.
Variance is simply the square of the standard deviation. It is mathematically shown as:
[tex]s^2 = \frac{\sum(x - \bar x)}{n} }[/tex]
Now in our example,
Stabnard deviation = $0.10
Variance = (standard deviation)²
Variance = (0.10)²
Variance = $0.01
Answer:
c.) $0.01
Step-by-step explanation:
Got it right.
). How many dots do you see from the figure below? (Find patterns, don’t just count).
Answer:
where is the figure or picture
What is the solution set to the inequality 1 + 7x + 5x< 13?
Answer:
[tex]x<1[/tex]
Step-by-step explanation:
So we have the inequality:
[tex]1+7x+5x<13[/tex]
First, combine like terms:
[tex]1+12x<13[/tex]
Subtract 1 from both sides:
[tex]12x<12[/tex]
Divide both sides by 12:
[tex]x<1[/tex]
And that's our answer :)
Answer:
Step-by-step explanation:
12x + 1 < 13
12x < 12
x < 1
Write 100 as a product of prime factors
Prime factorization of 100 is 2 * 2 * 5 * 5
100 as a product of prime factors will be 2 ×2×5×5 .
Given,
Number = 100
Now,
To write 100 as prime factor product ,
Take LCM of 100
LCM 100 = 2 ×2×5×5
Thus the factors obtained in the LCM is prime factors only .
So we can write 100 as the product of prime factors:
100 = 2 ×2×5×5
Know more about prime factors,
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What are the possible values of x and y for two distinct points, (5, –2) and (x, y), to represent a function? The value of x can be .
Answer:
x ≠ 5
Step-by-step explanation:
For the two points to represent a function, the value of x cannot be repeated. The only restriction on the values of x and y is that x is not 5. (x can be anything but 5.)
Answer:
The value of x can be
✔ any real number except 5
.
The value of y can be
✔ any real number
Step-by-step explanation:
i got it correct on edguinty
If a student is selected at random, what is the
probability that the student is a graduate
(rounded to the nearest percent)? [? ]%
Answer: 24%
Step-by-step explanation:
There are a total of 2610 graduates and if that is the divided by the total which is 10730 you will get 0.2432 which is about 24%
Answer:
24%
Step-by-step explanation:
I checked it on the test to make sure, I have acellus too.
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.
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.
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.
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 :)
What is the area of a table with a diameter of 28 inches? How did you figure it out? pls help i need the answer asap
Answer:
The answer is 615 inches
Step-by-step explanation:
The formula for solving the area of a circle is :
A= 1/4 π d^2
So since we only know the diameter the formula would be:
A= 1/4 of 3.14 x 28^2
The first thing you need to do is square 28 which is 784Them times 784 by 3.14 which is 2461.76After all that, your equation should look like this: A = 1/4 of 2461.76So then you would times 2461.76 by 1/4 which is 615.75216 or 615.75Hope this helped :)
Use the properties of logarithms to expand the following expression as much as possible. Simplify any numerical expressions that can be evaluated without a calculator.
log4(2x2 - 20x + 12y)
Answer:
[tex]f(x,y) = \log_{4} (x-5-\sqrt{25-6\cdot y})+\log_{4} (x-5+\sqrt{25-6\cdot y})[/tex]
Step-by-step explanation:
Let be [tex]f(x,y) = \log_{4}(2\cdot x^{2}-20\cdot x +12\cdot y)[/tex], this expression is simplified by algebraic and trascendental means. As first step, the second order polynomial is simplified. Its roots are determined by the Quadratic Formula, that is to say:
[tex]r_{1,2} = \frac{20\pm \sqrt{(-20)^{2}-4\cdot (2)\cdot (12\cdot y)}}{2\cdot (2)}[/tex]
[tex]r_{1,2} = 5\pm \sqrt{25-6\cdot y}[/tex]
The polynomial in factorized form is:
[tex](x-5-\sqrt{25-6\cdot y})\cdot (x-5+\sqrt{25-6\cdot y})[/tex]
The function can be rewritten and simplified as follows:
[tex]f(x,y) = \log_{4} [(x-5-\sqrt{25-6\cdot y})\cdot (x-5+\sqrt{25-6\cdot y})][/tex]
[tex]f(x,y) = \log_{4} (x-5-\sqrt{25-6\cdot y})+\log_{4} (x-5+\sqrt{25-6\cdot y})[/tex]
Evaluate if m = 16 and p = 2. 1/2m + 3p A) 10 B) 14 C) 18 D) 48
Answer:
B) 14
Step-by-step explanation:
We can plug in the values of m and p into the equation:
1/2 m + 3p = 1/2 (16) + 3 (2) = 8 + 6 = 14.
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
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).
Find the approximate side length of a square game board with an area of 131 in2.
Answer:
11.4
Step-by-step explanation:
You find the square root
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:
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
A pack of paper costs $3.75, including tax. Mr. Cooper wants to purchase packs of paper for his class and has a $20 budget. Write an inequality to solve for the number of packs of paper Mr. Cooper can purchase.
Answer:
($3.75)n ≤ $20
Step-by-step explanation:
Represent this number by n. Then the total purchase price can be represented by ($3.75)n ≤ $20, which is appropriate because Cooper can't spend more than $20.
The desired inequality is ($3.75)n ≤ $20. If a solution is desired, divide both sides by $3/75):
$20
n ≤ ______ = 5 1/3.
$3.75
Cooper can purchase up to 5 whole packs of paper and have a bit of money left over.
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.
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
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
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!!
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.)
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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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
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
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:
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
There are five members on a student council. Two of these members will serve on a spring formal committee. How many possible spring formal committees are there
Answer:
10
Step-by-step explanation:
Given that:
There are a total of 5 members on a student council.
2 of these members will serve in Spring Formal Committee.
To find:
How many possible spring formal committees can be there ?
Solution:
If the observe this problem closely, we are actually asked nothing but the number of ways to select 2 members out of 5.
This is a simple selection problem in which we have to find the number of ways to select [tex]r[/tex] objects out of [tex]n[/tex].
The number of ways = [tex]_nC_r =\frac {n!}{r!(n-r)!}[/tex]
Here,
[tex]n = 5\\r=2[/tex]
Hence, the required number of ways are:
[tex]_5C_2 =\frac {5!}{2!(5-2)!}\\\Rightarrow \dfrac {5!}{2!3!} = \dfrac {5\times 4\times 3!}{2!3!}\\\Rightarrow \dfrac {5\times 4}{2} = \dfrac{20}{2}\\\Rightarrow \bold{10}[/tex]
So, the number of possible spring formal committees are 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.