The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.
According to the statement
we have given that If 15 actuators have failed and we have to find the probabilities on some conditions.
we know that the formula of probabilities is
probability = possible outcomes / total outcomes
So,
at least 10 are repairable = 1 - (10 are not repairable)at least 10 are repairable = 1 - 10/15
at least 10 are repairable = (15 - 10)/15
at least 10 are repairable = (5)/15
at least 10 are repairable = 1/3
from 3 to 8 are repairable = 3/15 *8/15from 3 to 8 are repairable = 1/5 *8/15
exactly 5 are repairable = 5/15exactly 5 are repairable = 1/3
These are the probabilities of the given conditions.
So, The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.
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Select the equivalent expression. (Please Help and Explain.)
(4^3/5^-2)^5=?
Choose 1 answer:
A. 4^15/5^10
B. 4^15*5^10
C. 4^8/5^3
Answer:
B. 4^15*5^10
Step-by-step explanation:
First you can take the out-out-outside exponent and "pass it out" to both the numerator and the denominator. When you have a power raised to a power, you MULTIPLY the exponents. See image.
Next you can "fix" a negative exponent by pushing it across the fraction bar. As it passes across the fraction bar, the exponent changes sign. So the -10 exponent on the bottom, becomes a positive 10 exponent on top. See image.
Find the service area of a cylinder with a base diameter of 6ft and height of 4ft
The service area of the cylinder is 42[tex]\pi[/tex] square fts.
What is cylinder?Two parallel bases joined by a curving surface make up the three-dimensional solid known as a cylinder.
Typically, the bases are shaped like circles. The height "h" of the cylinder stands for the perpendicular distance between the bases, while "r" stands for the cylinder's radius.
The uses of cylinder are-
A popular piece of scientific equipment used to determine the volume of a liquid is a graduated cylinder, sometimes referred to as a measuring cylinder or mixing cylinder. Its form is slender and cylindrical. The measured amount of liquid is shown by each marked line on the graduated cylinder.Total surface area of the cylinder formula:
It is the sum of the base surface area and the lateral surface area;
Total area = base area + lateral area , or
Total area = 2 π r² + (2 π r) h , or
Total area = 2 π r (r + h)
Calculation for the total area of the cylinder;
Base diameter is 6 ft
Radius is 6/2 = 3 ft
Height is 4 ft
Total area = 2[tex]\pi[/tex]3(3 + 4)
= 6[tex]\pi[/tex]×7
= 42[tex]\pi[/tex]
Therefore, the total surface area of the cylinder is 42[tex]\pi[/tex] square fts.
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8
45°
Find the value of x.
A. 4
B. 8√√2
2
X
C. 4√2
D. 8√√2
45°
Hello,
Pythagorean theorem :
x² = 8² + 8²
x² = 64 + 64
x² = 128
x = √128
x = √(64 × 2)
x = √(8² × 2)
x = 8√2
→ Answer D
an economic research commission claimed that among the 500 stores there are 308 dealing with european companies, 266 dealing with asian companies 103 dealing with both sides regularly and 59 not dealing with either side. i) what is the probability that the stores deal with european or asian companies? ii) what is the probability that the stores do not deal with european companies? iii) what is the probability that the stores only deal with asian companies? iv) what is the probability that stores do not deal with only one type of company
Step-by-step explanation:
Let S be the set of all the stores in the sample, A be the set of stores dealing with Asian companies and E but the set of stores dealing with European companies
i. The set of stores that deal with European or Asian companies is A ∪ E. The inclusion-exclusion principle states that |A ∪ E| = |A| + |E| - |A ∩ E| = 266 + 308 - 103 = 471. So P(A ∪ E) = 471/500 = 0.942
ii. E' = S - E. |S-E| = 500 - 308 = 192. So P(E') = 192/500 = 0.384
iii. |A - E| = |A| - |A ∩ E| = 266 - 103 = 163. So P(A - E) = 163/500 = 0.326
iv. Stores that do not deal with only one type of company, must deal with both Asian and European companies. We are given that |A ∩ E| = 103. So P(A ∩ E) = 103/500 = 0.206
Easy, right?
Then mark as brainlist!
help!!!!>>>>>>>Explain the difference between perimeter
and volume.
a. Perimeter represents space inside a three-
dimensional object. You use volume to
measure the distance around an object.
b. You use perimeter to measure the distance
around an object. Volume represents space
inside a two-dimensional object.
c. Perimeter represents space inside a two
dimensional object. You use volume to
measure the distance around an object.
d. You use perimeter to measure the distance
around an object. Volume represents space
inside a three-dimensional object.
what are the solutions to 5x^2 - x - 1 < 0
Given the parent cosine function f(x) = cos x , find the function g(x) after the parent function undergoes a horizontal shift right 7 units, and up 4 units.
By applying the transformation rules for horizontal and vertical translation, we find that the resulting function is g(x) = cos (x - 7) + 4.
How to find the resulting function by transformation rules
Transformation rules are rules that makes changes on charateristics and behavior of a function to create a new one. Rigid transformations like horizontal and vertical translations are examples of transformation rules. In this question we must apply the following transformation rules to the parent cosine function f(x) = cos x:
Horizontal translation: f'(x) = f(x - 7) (1)Vertical translation: g(x) = f'(x) + 4 (2)Now we proceed to derive the resulting function by applying the rules defined above:
Horizontal translation
f'(x) = cos (x - 7) (3)
Vertical translation
g(x) = cos (x - 7) + 4 (4)
By applying the transformation rules for horizontal and vertical translation, we find that the resulting function is g(x) = cos (x - 7) + 4.
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In convex pentagon $ABCDE$, angles $A$, $B$ and $C$ are congruent and angles $D$ and $E$ are congruent. If the measure of angle $A$ is 40 degrees less than the measure of angle $D$, what is the measure of angle $D$
In a convex pentagon, the measure of angle D is 132°.
What is convex pentagon?If a planar polygon has all the line segments connecting any given pair of its points, it is said to be convex pentagon.
Properties of a Convex Polygon are-
Any polygon whose inner angles are all smaller than 180 degrees is said to be convex.A concave polygon is one in which at least one of the angles is bigger than 180°.A convex polygon's diagonals are located inside the polygon.A polygon is considered convex if the line connecting every pair of its points lies entirely within it.Calculation for the measure of angle D.
The sum of the interior angles = 540°
Let A, B , C = D - 40
And let E = D
So we have
A + B + C + D + E = 540
(D - 40) + (D - 40) + (D - 40) + D + D = 540
5D - 120 = 540
5D = 660
D = 660 / 5
D = 132°
Therefore, the measure of angle D is 132°.
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The bars in a _____________ do not touch since data is ______________.
A. bar graph ; continuous
B. bar graph ; discrete
C. histogram ; continuous
D. histogram ; discrete
Answer:
b
Step-by-step explanation:
Bat Graphs represent discrete data. They are spaced and don't touch to represent a discrete value.
Histograms represent continuous data. They are close and connected to represent variation in continuous data.
A polypay sheep produces an average $9.9$ pounds of wool annually. This wool is cleaned, spun into yarn and then packaged into skeins of $175$ yards of yarn each. One pound of wool makes $10.95$ miles of yarn. If farmer Bill has a flock of $200$ polypay sheep, to the nearest thousand skeins, how many skeins of yarn is his flock expected to produce in one year
Answer:
218,048. skeins
Step-by-step explanation:
Break down the process into proper order.This question is built to throw you off by not telling you about the information in order.
First, the polypay sheep produces 9.9 pounds of wool.
Then, each pound produces 10.95 miles of yarn.
And finally, the yarn is packaged into skeins that are 175 yards each.
Step 1: Outline the workEach polypay sheep is 9.9 pounds. And we will use that total weight to find the amount of yarn in miles.
Then we will split up that yarn into equal pieces to make skeins.
BUT, the pieces are measured in yards, so we will have to convert the miles of yarn into an equivalent amount in yards as well. (Unmatched units of measurements don't mix well).
So, our equation will look like this:
(#of sheep) [tex]\times[/tex] (9.9 pounds per sheep) [tex]\times[/tex] (10.95 miles per yarn) [tex]\times[/tex] (1760 yards per mile) [tex]\div[/tex] (175 skeins per yard)
Step 2: Plug and ChThe number of sheep Bill has is 200.
So, we plug that into the number model we made.
[tex]200\times9.9\times10.95\times1760\div175[/tex]
We end up with:
218,048.914
The decimal indicates that there is a remaining amount of yarn that couldn't be properly packaged into a skein.
Since, that remainder is not a complete skein, we must ignore its existence.
So the number of skeins expected is:
218,048
The number of skeins of yarn is Bill's flock expected to produce in one year is 1819.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, a polypay sheep produces an average 9.9 pounds of wool annually.
Farmer Bill has a flock of 200 polypay sheeps
So, total weight of wool is 9.9×200
= 1980 pounds
One pound of wool makes 10.95 miles of yarn.
So, the number of yarns = 1980/10.95
= 180.82 miles of yarn
We know that, 1 mile =1760 yards
Then, 180.82 miles
= 318243.2 yards
This wool is cleaned, spun into yarn and then packaged into skeins of 175 yards of yarn each.
Number of skeins = 318243.2/175
= 1819
Therefore, the number of skeins of yarn Bill's flock expected to produce in one year is 1819.
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1. Write the next 3 terms in
patterns.
these
121,11,1,1/11
Answer:
Your simply dividing by 11
Step-by-step explanation:
0.008...
0.0007...
0.00006...
All you have to do is turn these numbers into fractions!
Answer:
1/121, 1/1331, 14641
Step-by-step explanation:
121, 11 ,1 , 1/11
We need to find the next three terms in the pattern
We are taking each term and dividing by 11
121/11 =11
11/11 =1
1/11 = 1/11
1/11 divided by 11
1/(11*11) = 1/121
1/121 * 1/11 = 1/1331
1/1331 * 1/11 = 14641
I SHOULD ALREADY KNOW THIS
[tex]t \geqslant 35[/tex]
Since there are at least 35 tic tacs, there has to be 35 tic tacs or more in the box.David is currently 3 times as old as his son. If David’s son’s current age is x years, how old will David be after 3 years?
Dave is 18 years old.
What is algebraic expression?A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11
Given
Let x be Dave’s age today. Then:
x=3(x+3)-3(x-3)
x=3x+9–3x+9
x=18
Dave is 18 years old.
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Which is a function?
look at pic
Answer:
option 2 {(12, 3), (11,2), ...}
Step-by-step explanation:
For functions, multiple x-values can have the same y-value but each y-value must have a unique x-value. The second option matches this criterion.
Which of the following lists of ordered pairs is a function?
OA. (2, 4), (3, 9), (4, 16), (5,25)
OB. (2, 4), (-2, 4), (3,9), (-2,-4)
OC. (1, 1), (2, 3), (1, 5), (4,7)
OD. (0, 2), (4, 2), (0, -4), (4, -2)
Answer:
OA
Step-by-step explanation:
because it only got a y parameter for each x
Answer:
Option A. (2,4),(3,9),(4,16),(5,25)
Which side lengths form a right triangle?
Choose all answers that apply
Answer:
A and B
Step-by-step explanation:
A : (a²+b²=c²) 11²+13²=290 (c²); c=√290
B : 7²+24²=625; c=√625=25
C : 2²+5²=29≠7²
According to the Pythagorean triple, the side lengths that will form a right triangle are:
A. 11, 13, √290
B. 7, 24, 25
What is the Pythagorean Triple?The Pythagorean triple are three set of sides that can form a right triangle if the square of the longest side equals the sum of the squares of the other two smaller sides.
11² + 13² = (√290)²
290 = 290 [correct]
7² + 24² = 25²
625 = 625 [correct]
2² + 5² = 7²
29 ≠ 49 [correct]
Therefore, the side lengths that will form a right triangle are:
A. 11, 13, √290
B. 7, 24, 25
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What comes next in the following series?
The next number in the series is 30.
What is series?It should be noted that series simply means the operation of adding values together in a data set.
In this case, it can be seen that the numbers are interchangeable between 30 and 31.
In this case, since 31 was the last number, the next number will be 30.
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You can approximate e by substituting large values for ninto the expression
You can approximate e by substituting large values for (1 + 1/n)^n into the expression.
How to illustrate the expression?It should be noted that an expression can simply be used to illustrate the information given in a data.
In this case, you can approximate e by substituting large values for (1 + 1/n)^n into the expression.
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In a math class of $30$ students, $12$ out of $15$ girls are freshmen and $11$ out of $15$ boys are freshmen. What is the probability that in a randomly selected group of five students from the class, there will be two freshmen girls and three freshmen boys
The probability of selecting five students from the class, where there will be two freshmen girls and three freshmen boys is 0.23 approximately.
What is Probability ?Probability is the game of chance. Probability of an event is the ratio of the required outcome to the total possible outcome.
Given that In a math class of 30 students, 12 out of 15 girls are freshmen and 11 out of 15 boys are freshmen. In Probability, the word "and" means multiplication
The probability that in a randomly selected group of five students from the class, there will be two freshmen girls and three freshmen boys can be expressed as follow
12/15 x 11/14 x 11/15 x 10/14 x 9/13
132/210 x 990/2730
130680/573300
0.2279
Therefore, the probability that in a randomly selected group of five students from the class, there will be two freshmen girls and three freshmen boys is 0.23 approximately.
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18. A8 x 6 x 4 cm³ metallic cube is melted. Find the minimum volume of molten metal which should be added to
mould it into a cube whose edge is an integer.
(1) 20
(2) 21
(3) 23
(4) 24
The minimum volume of molten metal which should be added to mold It into a cube exists [tex]$24 cm^3[/tex].
How to estimate the minimum volume of molten metal?Volume exists as a scalar quantity representing the amount of three-dimensional space encircled by a closed surface.
The minimum volume of a shape with measured dimensions exists provided by the lowest values of the dimensions when accounting for measurement error. Maximum Volume: The maximum volume of a shape with measured dimensions exists provided by the highest values of the measurements when accounting for measurement error.
The volume of the cube [tex]= 8*6*4[/tex]
[tex]= 192 cm^3[/tex]
To create the X as the sides of the cube we should add material.
The nearest cube number to 192 exists at 216
The amount of material to be added exists
= 216 -192
[tex]= 24 cm^3[/tex]
The minimum volume of molten metal which should be added to mold It into a cube exists [tex]$24 cm^3[/tex].
Therefore, the correct answer is an option (4) 24.
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(Determine the net change between the indicated points on the graph.
Answer: 4
Step-by-step explanation:
The points are (-1, 1) and (5, 5).
So, the difference in the y coordinates is [tex]5-1=4[/tex].
The net change between the x-coordinates and y-coordinates on the graph is 6 units and 4 units respectively.
The coordinates from the given graph are (5, 5) and (-1, 1).
What is the net change between the coordinate points?Given two points, (a, f(a)) and (b, f(b)) on the graph of f(x), the net change is the difference between the two f(x) values. Thus, net change is given by f(b)−f(a).
Here, the change in x-coordinates is 5-(-1) = 6
The change in y-coordinates is 5-1 = 4
Therefore, the net change between the x-coordinates and y-coordinates on the graph is 6 units and 4 units respectively.
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Mari works part time selling both hats and scarfs. One week she earns $114.00 by selling eight hats and 10 scarves. The following week she sold 12 hats and six scarves and earned $108.00. How much does she earn for each hat and scarf she sells?
Using a system of equations, it is found that she earns $5.5 for each hat and $7 for each scarf sold.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: Cost of a hat.Variable y: Cost of a scarf.One week she earns $114.00 by selling eight hats and 10 scarves, hence:
8x + 10y = 114.
The following week she sold 12 hats and six scarves and earned $108.00, hence:
12x + 6y = 108
Simplifying by 6:
2x + y = 18
y = 18 - 2x.
Replacing in the first equation:
8x + 10y = 114.
8x + 10(18 - 2x) = 114
12x = 66
x = 66/12
x = 5.5
y = 18 - 2x = 18 - 2 x 5.5 = 7.
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Meg plotted the graph below to show the relationship between the temperature of her city and the number of sweaters sold at a store:
Part A: In your own words, describe the relationship between the temperature of the city and the sale of sweaters in the city. (5 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)
PLEASE HELP WITH PART B ASAP
The explanation about the graph is illustrated below.
How to illustrate the graph?The graph shows 0 to 30 on the x-axis at increments of 5 and 0 to 12 on the y-axis at increments of 1. The label on the x-axis is Temperature in degrees C, and the label on the y axis is the Number of Sweaters Sold.
If you will draw lines through, (12.5,6) and (15,4), it will best represent a line of best fit, because most of the points on the same and opposite sides of line are equidistant from each other.
Equation of line passing through (12.5,6) and (15,4) A line of best is the line that passes through all or some points or only through a single point, which describes the relationship between x and y values of data set
4x + 5y = 80
5y = -4x + 80.
y = -4x/5 + 16
Slope = -4/5 and y intercept is 16.
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4+4-3-4-2-5-1-8-9-0=a+c=a
Simplification of the expression gives 2a + c = -24
How to simplify the equation
4+4-3-4-2-5-1-8-9-0=a +c + a
First, let's add
[tex]8 -3 -4-2-5-1-8-9-0 = a+ c + a[/tex]
Then, let's substract
[tex]-24 = a + c + a[/tex]
[tex]-24 = 2a + c[/tex]
We then have,
[tex]2a + c = -24[/tex]
Thus, simplification of the expression gives 2a + c = -24
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A classroom contains an equal number of boys and girls. if 10 girls leave, twice as many boys as girls remain. what was the original number of students present?
the answer of this question is 38 and i hope it s correct
Which of the following is not considered an action that would interfere with the airflow patterns at the front opening of the biosafety cabinet
An action that would not interfere with the airflow patterns at the front opening of the biosafety cabinet is a researcher discarding waste within the biosafety cabinet to prevent the movement of their arms in and out of the front opening.
What is biosafety?It should be noted that biosafety simply means the use of safety equipment as specifically designs tools to ensure that people are protected from hazards.
In this case, when a researcher discards waste within the biosafety cabinet to prevent the movement of their arms in and out of the front opening, it won't interfere with the airflow pattern.
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For what values of $j$ does the equation $(2x+7)(x-5) = -43 + jx$ have exactly one real solution? express your answer as a list of numbers, separated by commas. thank you!
The values of 'j' are -11,5.
What is a Quadratic Equation?
Quadratic equations are the polynomial equations of degree 2 in one variable of the type [tex]f(x) = ax^{2} + bx + c = 0[/tex] where a, b, c, ∈ R and a ≠ 0.The standard form of a quadratic equation is [tex]ax^{2} + bx + c = 0[/tex] .Here, the given equation is (2x+7)(x-5) = - 43 + jx
On simplifying the equation we get,
[tex]2x^{2} -10x+7x-35=-43+jx\\2x^{2} -3x-35+43-jx=0\\2x^{2} -3x-jx+8=0\\2x^{2} -(3+j)x+8=0.....(1)\\[/tex]
By comparing the given equation with the standard form of the quadratic equation we get,
a = 2
b = - (3 + j)
c = 8
Therefore,
[tex](-(3+j))^{2} -4\times2\times8=0\\(3+j)^{2} -64=0\\(3+j)^{2} =64\\[/tex]
Take the square root of both sides,
[tex]\sqrt{(3+j)^{2} }=\sqrt{64} \\[/tex]
3 + j = ±8
Therefore,
3 + j = 8
j = 8 - 3
j = 5
or
3 + j = -8
j = -8 - 3
j = -11
Hence, the possible values of 'j' are -11,5.
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BRAINLIEST TO CORRECT ANSWER
There is a pair of parallel sides in the following shape.
what is the area
The area of the given figure is 38 square units
Area of a trapezoidThe area of the given trapezoid is expressed as:
A = 0.5(a+b)h
where
a and b are the sides
h is the height
Substitute
A = 0.5(9+10) * 4
A = 19 * 2
A = 38 square units
Hence the area of the given figure is 38 square units
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Find the perimeter and area of the figure shown in the picture.
Answer:
52 units
Step-by-step explanation:
Perimeter = sum of it sides =
15 + 8 + 6 + 17 + 6
= 52
PLS HELP AND EXPLAIN . math related
Answer:
(0,0)
Step-by-step explanation:
The y-intercept (where the graph of the equation crosses the y-axis) occurs where x = 0. If you substitute 0 for x in the equation, y = 0. So the y-intercept is at (0,0).