Answer:
14
Step-by-step explanation:
Assuming you meant to find MN.
Given that MN is parallel to the bases of the given trapezoid, and is connected to the midpoints of both sides, we can infer that MN is the midsegment of the given trapezoid.
The length of a midsegment is given by half the sum of the bases.
Therefore, MN = (18 + 10)/2 = 28/2 = 14
How many times larger is the volume of a
cylinder if the radius is multiplied by 3?
A. 3 times larger
B. 6 times larger
C. 9 times larger
D. 27 times larger
Answer:
C. 9 times larger
Explanation:
where, r = radius of a cylinder and h = height of the cylinder. This means that the volume of a cylinder will be 9 times larger if the radius is multiplied by 3.
Please answer this correctly
Answer:
Step-by-step explanation:
Area = area of rectangle 1 + area of rectangle 2 + area of rectangle 3 +area of triangle
= 8*12 + 12*9 + 19 *5 + (1/2) * 4 *12
= 96 + 108 + 95 + 24
= 323 sq. cm
What is the surface area of this cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
The radius is 10mm and the height is 5mm
Answer:
942 square millimeters.
Step-by-step explanation:
The formula for the surface area of a cylinder is:
S = 2πr^2 + 2πrh
where S is the surface area, r is the radius, and h is the height.
Substituting the given values, we get:
S = 2 x 3.14 x 10^2 + 2 x 3.14 x 10 x 5
S = 628 + 314
S = 942
Therefore, the surface area of the cylinder is 942 square millimeters.
(05.01) Which statement best describes the area of the triangle shown below?
Answer:
A
Step-by-step explanation:
Area of a triangle:
\(A=\frac{b*h}{2}\)
In our case:
b=4
h=2
Plug in what we know:
\(A=\frac{(4)(2)}{2} \\A=4units\)
Find the matching solution:
A.) it is 1/2 the area of a rectangle of length 4 units and width 2 units
X B.) it is twice the area of a rectangle of length 4 units and width two units
X C.) it is 1/2 the area of a square of side length 4 units
X D.) it is twice the area of a square of side length 4 units
For positive integer n, the factorial notation n! represents the product of the integers from n to 1. (For example, 6!= 6.5.4.3. 2. 1.) What value of N satisfies the following equation? 5!.9!= 12. N! (A)10 (B)11 (C)12 (D)13 (E)14
The value of N that satisfies the following equation, 5!9!= 12N!, is 10.
Factorial notation (n!) means to multiply a series of descending natural numbers. Also stated in the problem that for positive integer n, the factorial notation n! represents the product of the integers from n to 1.
Take for example 6! which can be written as 6 x 5 x 4 x 3 x 2 x 1 = 720.
Given the equation 5!9!= 12N!, expand the factorial notation.
(5 x 4 x 3 x 2 x 1)(9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) = (4 x 3) N!
N! = (5 x 2 x 1)(9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)
N! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
N = 10
Therefore, the value of N that satisfies the following equation, 5!9!= 12N!, is 10.
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An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows:F(x) =0 x < 10.31 1 ≤ x < 30.42 3 ≤ x < 40.46 4 ≤ x < 60.82 6 ≤ x < 121 12 ≤ x
The probability that the policyholder will pay their premiums in three months is 0.42.
The Cumulative Distribution Function (CDF) of X is a function that gives the probability that X will take a value less than or equal to x. In this example, the CDF of X gives us the probability that the policyholder will pay their premiums in x months.
The CDF of X can be expressed as follows:
\(F(x) = P(X≤x) = 0, for x < 10.31 F(x) = P(X≤x) = 0.31, for 10.31 ≤ x < 30.42 F(x) = P(X≤x) = 0.42, for 30.42 ≤ x < 40.46F(x) = P(X≤x) = 0.46, for 40.46 ≤ x < 60.82F(x) = P(X≤x) = 0.82, for 60.82 ≤ x < 121F(x) = P(X≤x) = 1, for x ≥ 121\)
For example, if we want to find the probability that the policyholder will pay their premiums in three months, we can use the CDF to calculate this probability.
F(3) = P(X ≤ 3) = 0.42
Therefore, the probability that the policyholder will pay their premiums in three months is 0.42.
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how to add -89 and 17 step by step
Step-by-step explanation: The easiest way to do this and the way I commonly use is to subtract 17 from 89then make it negative as you are making the negative number smaller by adding a smaller number therefore your answer is -72
A box is shaped like a rectangular prism. The length is 114 ft, the width is 8 in., and the height is 10 in. Find the surface area of the box in square inches. What is the SA?
Based on the calculations, the surface area of this rectangular prism is equal to 49,408 square inches.
Given the following data:
Length of this rectangular prism = 114 feet.Width of this rectangular prism = 8 inches.Height of this rectangular prism = 10 inches.What is an equation?An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.
How to calculate the surface area of a rectangular prism?Mathematically, the surface area of a rectangular prism can be calculated by using this equation or formula:
SA = 2(WH + LW + LH)
Where:
SA represents the surface area of a rectangular prism.L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.Conversion:
1 feet = 12 inches
114 feet = L inches
Cross-multiplying, we have:
L = 12 × 114
L = 1,368 inches.
Substituting the given parameters into the formula, we have;
SA = 2(8 × 10 + 1,368 × 8 + 1,368 × 10)
SA = 2(80 + 10,944 + 13,680)
SA = 2(24,704)
SA = 49,408 square inches.
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One of the legs of right triangle measures 16 cm and the other leg measures 2 cm.
round to the nearest tenth.
Find the measure of the hypotenuse. If necessary, round
Answer:
16.1 cm (nearest tenth)
Step-by-step explanation:
Pythagoras’ Theorem
\(a^2+b^2=c^2\)
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = 16 cmb = 2 cmSubstitute the given values into the formula and solve for c:
\(\implies 16^2+2^2=c^2\)
\(\implies 256+4=c^2\)
\(\implies c^2=260\)
\(\implies c=\sqrt{260}\)
\(\implies c=2\sqrt{65}\)
\(\implies c=16.1 \sf \: cm\:(nearest\:tenth)\)
16.1 is rounded to the nearest tenth
The average of 100, M, and 500 is 400. What is M?
Answer:
600
Step-by-step explanation:
(100+M+500)÷3=400
600+M=400×3
600+M=1200
M=1200-600
M=600
show that the function below even or odd. f(x) = 3 X5 / 1+X3
Answer:
i think the answer is
\(f(x) = \\ - \frac{45x {}^{2} }{(1 + x {}^{3}) {}^{2} }\)
Thank you to who it is that helps me!
Answer:
B
D
D
Step-by-step explanation:
please verify and rate 5 stars and say thank you
Simplify 7 + (−3)
A -10
B -4
C 4
D 10
Answer:
4
Step-by-step explanation:
The plus and minus sign cancel each other out so it becomes 7-3=4
the correct answer is c 4
Determine the product of the binomial −2x−3 and the trinomial −4x2+3x+5. To earn full credit, show your work using a method explained in the Orientation.
Answer:
\(( - 2x - 3)( - 4 {x}^{2} + 3x + 5) \\ \\ = 8 {x}^{3} - 6 {x}^{2} - 10x + 12 {x}^{2} - 9x - 15 \\ = 8 {x}^{3} + 6 {x}^{2} - 19x - 15\)
I hope I helped you^_^
A factory received a shipment of 10 generators, and the vendor who sold the items knows there are 4 generators in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the generators in the sample are defective, he will refuse the shipment. Give answer as a decimal to three decimal places.
Answer:
A) 0.026
B) 0.130
Step-by-step explanation:
Complete Question
A factory received a shipment of 10 generators and the vendor who sold the items knows there are 4 generators in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the generators in the sample are defective, he will refuse the shipment. Give answer as a decimal to three decimal places.
(A) If a sample of 4 generators is selected, find the probability that all in the sample are defective.
(B) If a sample of 4 generators is selected, find the probability that none in the sample is defective.
Solution
A) This is a binomial distribution problem
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = number of generators to be picked = 4
x = Number of successes required = number of defective generators required = 4
p = probability of success = probability that a randomly selected generator is defective = (4/10) = 0.40
q = probability of failure = probability that a randomly selected generator is NOT defective = 1 - p = 1 - 0.40 = 0.60
P(X = 4) = ⁴C₄ (0.40)⁴ (0.6)⁴⁻⁴ = 0.0256 = 0.026 to 3 d.p.
B) n = total number of sample spaces = number of generators to be picked = 4
x = Number of successes required = number of defective generators required = 0
p = probability of success = probability that a randomly selected generator is defective = (4/10) = 0.40
q = probability of failure = probability that a randomly selected generator is NOT defective = 1 - p = 1 - 0.40 = 0.60
P(X = 0) = ⁴C₀ (0.40)⁰ (0.6)⁴⁻⁰ = 0.1296 = 0.130 to 3 d.p.
Hope this Helps!!!
a) b) QUESTION I Use a protractor to measure the size of angle 9 and a ruler to measure the length of AB and BC in each case. (a) A 8 B What do you notice? (b) Complete the statements: The line drawn from the centre of a circle will be The line drawn from the centre of a circle O the chord. 0 B A to the chord.
(a) When measuring angle 9 and the lengths of AB and BC, one observation is required.
(b) The line drawn from the center of a circle to the midpoint of a chord is perpendicular to the chord, while the line drawn from the center of a circle to an endpoint of a chord bisects the chord.
a) In the given diagram, we have angle AOB (angle 9) and line segments AB and BC.
To measure angle 9, we use a protractor. We align the baseline of the protractor with the line segment OA, ensuring that the center point of the protractor coincides with the vertex O. Then, we read the degree measurement where the line segment OB intersects the protractor. Let's assume the measurement of angle 9 is x degrees.
To measure the length of line segments AB and BC, we use a ruler. We align the ruler with the line segments and read the length in units (e.g., centimeters or inches).
b) The statements to complete are:
(i) The line drawn from the center of a circle to the midpoint of a chord will be perpendicular to the chord.
(ii) The line drawn from the center of a circle to the endpoint of a chord will bisect the chord.
In a circle, the center of the circle lies on the perpendicular bisector of any chord. This means that if we draw a line from the center of the circle to the midpoint of a chord, it will be perpendicular to the chord (statement i). Similarly, if we draw a line from the center of the circle to one of the endpoints of the chord, it will bisect the chord into two equal parts (statement ii).
These properties hold true for any chord in a circle, and they are based on the geometric properties of circles and perpendicular bisectors.
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For Mean = 73.19, Mode = 79.56 and Variance = 16, the Karl Pearson's Coefficient of Skewness will be -0.0256 -1.64 0.0256 0
Answer:
To calculate Karl Pearson's coefficient of skewness, we need to use the formula:
Skewness = 3 * (Mean - Mode) / Standard Deviation
Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.
Standard Deviation = √Variance = √16 = 4
Now we can substitute the values into the formula:
Skewness = 3 * (73.19 - 79.56) / 4
Skewness = -6.37 / 4
Skewness = -1.5925
Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.
What is the correct written expression for the variable expression: (3 - x)/7
3 divided by the difference of 7 and x
or
the difference of 3 divided by 7 and x
Answer:
3 divided by 7 and x=-1.5*x
Step-by-step explanation:
Use the table below to find the probability of selecting a person at random, that the personYes (Y)No (N)Don't Know (D)TotalMen (M)15212373348Women (W)14910994352Total301232167700is male and responded no. is a woman and responded don't know. responded yes given that the person was a male.responded don't know given that the person was a woman.
Recall that:
\(P(success)=\frac{favorable\text{ outcomes}}{total\text{ outccomes}}.\)Therefore:
\(\begin{gathered} P(male\text{ and no\rparen=}\frac{123}{700}, \\ P(woman\text{ and don't know\rparen=}\frac{94}{700}. \end{gathered}\)Now, recall that:
\(P(A|B)=\frac{P(A\cap B)}{P(B)}.\)Therefore:
\(\begin{gathered} P(yes|male)=\frac{P(male\text{ and yes\rparen}}{P(male)}=\frac{\frac{152}{700}}{\frac{348}{700}}=\frac{152}{348}, \\ P(don^{\prime}t\text{ know\mid woman\rparen=}\frac{\frac{94}{700}}{\frac{352}{700}}=\frac{94}{352}. \end{gathered}\)Simplifying all of the above results, we get:
\(\begin{gathered} P(male\text{ and no\rparen=}\frac{123}{700}, \\ P(woman\text{ and don't know\rparen=}\frac{47}{350}, \\ P(yes|male)=\frac{38}{87}, \\ P(don^{\prime}t\text{ know\mid woman\rparen=}\frac{47}{176}. \end{gathered}\)Answer: \(\begin{gathered} P(male\text{ and no}\operatorname{\rparen}\text{=}\frac{123}{700}\text{, } \\ P(woman\text{ and don't know\rparen=}\frac{47}{350}, \\ P(yes|male)=\frac{38}{87}, \\ P(don^{\prime}t\text{ know\mid woman\rparen=}\frac{47}{176}. \end{gathered}\)Write the expression as a single power of b.
open parentheses b to the power of begin display style 3 over 4 end style end exponent over b to the power of begin display style 1 fourth end style end exponent close parentheses to the power of 1 half end exponent
The simplified form of the given expression is x raise to the power of one-thirty.
What is an expression?An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
here, we have,
Simplifying indices expressions
Given the indices expression (x^1/2/(x^1/3)^1/5
Using the indices law below:
a^m/a^n = a^m-n
(a^m)^n
Applying the law above to the given equation
(x^1/2/(x^1/3)^1/5 = (x^1/2-1/3)^1/5
(x^1/2/(x^1/3)^1/5 = (x^1/6)^1/5
(x^1/2/(x^1/3)^1/5 = x^1/30
Hence the simplified form of the given expression is x raise to the power of one-thirty.
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Jesse bought 3 1/2 pounds of bird seed at $2.00 per pound.
How much should she have paid?
Answer:
$7.00
Step-by-step explanation:
Each pound cost $2 and we have 3 pounds which means that's $6:
3 • 2= 6
But then we have half a pound (1/2), well whats half of 2? the answer is 1 which means we add another dollar making that $7.00! :)
The function f(x) = 6x represents the number of lightbulbs f(x) that are needed for x chandeliers. How many lightbulbs are needed for 7 chandeliers? Show your work
There are a total of 42 lightbulbs needed for 7 chandeliers
How to determine the number of lightbulbs needed?From the question, the equation of the function is given as
f(x) = 6x
Where
x represents the number of chandeliersf(x) represents the number of lightbulbs
For 7 chandeliers, we have
x = 7
Substitute x = 7 in f(x) = 6x
So, we have
f(7) = 6 x 7
Evaluate the product
f(7) = 42
Hence, the number of lightbulbs needed for 7 chandeliers is 42
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The number of lightbulbs needed for 7 chandeliers would be; 42
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the given problem, the equation of the function is;
f(x) = 6x
Where
x be the number of chandeliers and f(x) represents the number of lightbulbs.
For 7 chandeliers, x = 7
Now Substitute x = 7 in f(x) = 6x
Therefore, f(7) = 6 x 7
Evaluate the product;
f(7) = 42
Hence, the number of lightbulbs needed for 7 chandeliers would be; 42
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Mr. Rudd built a cabin with 351 logs, and his friend built a cabin with 113 logs. About how many logs did the two of them use
Answer:
464
Step-by-step explanation:
351 + 113. Add them both together to get your answer.
8. What angle do the hour and minute hands of a clock form when it is exactly 9.00p.m.?
Answer:
90 degrees
Step-by-step explanation:
please say thanks
Fencing costs 13.55 per foot. Jenny buys 15.25 feet of fencing. How much did Jenny spend for fencing?
Answer:
Jenny spent $206.63 for fencing.
Step-by-step explanation:
$13.55 x 15.25ft =$206.6375
An artist makes a hanging sculpture out of rhombus-shaped pieces. Each rhombus shape has diagonals of 3.5 centimeters and 5 centimeters. What is the area of each rhombus? 4.25 cm2 8.5 cm2 8.75 cm2 17.5 cm2
The area of each rhombus is 8.75 \(cm^2\). The correct option is 8.75 \(cm^2.\)
To find the area of each rhombus, we can use the formula for the area of a rhombus:
Area = (diagonal1 × diagonal2) / 2
Given that the diagonals of the rhombus-shaped pieces are 3.5 centimeters and 5 centimeters, we can substitute these values into the formula:
Area = (3.5 cm × 5 cm) / 2
Area = 17.5 \(cm^2\) / 2
Area = 8.75 \(cm^2\)
Therefore, the area of each rhombus is 8.75 \(cm^2\). The correct option is 8.75 \(cm^2.\)
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What is the distance between the points (-2,1) and (5,-4)
Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.
Distance between two pointsThe distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.
In other words, the distance between two points in space is the magnitude of the vector formed by said points.
So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:
distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)
Distance between the points (-2,1) and (5,-4)In this case, you know:
(x1, y1): (-2,1)(x2, y2): (5,-4)Replacing in the definition of distance:
distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)
distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)
distance= \(\sqrt{7^{2} +(-5)^{2} }\)
distance= \(\sqrt{49+25 }\)
distance= √74= 8.6023
Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.
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3
Which number line shows a number equivalent to
1 Sume
Choose 1 answer:
ctions
++
wat tract
>
2
0
1
A
U
HHH
iz 1
X 8 min
>
2
0
1
N
ctions
FE
4HHHH
0
>
2
1
iz 2
6 3 mor
Answer: B
Step-by-step explanation:
2/3 means 1.5
Can anyone please help me please
Answer:
this isnt spanish
Step-by-step explanation:
plsss answer ASAP i really need this fast
Answer:
650
Step-by-step explanation:
13 into 70 goes 5 times.
5×13=65
13 into 2 goes 0 times.
0×13=0
.•. answer is 650
Answer:702
Step-by-step explanation:
The answer is 254.You see how many time 702 goes into 13 and its 54 .We already have the 50 so there is the 4.