Answer:
D, A,B I think that’s it
Step-by-step explanation:
A length of chain is to be constructed by placing 36 component links end to end. The length of a link produced by a production process is known to be a random variable with a mean of 2.5 cm with a standard deviation 0.2 cm. The 36 links are chosen at random from this process to produce the chain. The mean and standard deviation of the length of chain are, respectively _________.
a. 90 cm, 7.2 cm
b. 36 cm, 1.2 cm
c. 90 cm, 2.7 cm
d. 90 cm, 1.2 cm
e. 36 cm, 7.2 cm
Answer:
d. 90 cm, 1.2 cm
Step-by-step explanation:
Given that:
The sample size n = 36
For the length of the link:
The mean [tex]\overline x[/tex] = 2.5
The standard deviation s = 0.2 cm
In a chosen 36 links, The mean and standard deviation for the length chain is as follows:
Mean = n[tex]\overline x[/tex]
Mean = 36×2.5
Mean = 90 cm
The Standard deviation = s×√n
The Standard deviation = 0.2×√36
The Standard deviation = 0.2×6
The Standard deviation = 1.2 cm
Find the missing angle.
Enter the number that belongs in the green box.
Enter
Answer:
35 degrees
Step-by-step explanation:
The sum of all angles in a triangle equals to 180
To find angle z, just subtract 55 and 90 from 180
180-55-90= 35
Angle z = 35 degrees
Hope this helps
A cube has a volume of 216 cubic inches. What is the length of each edge of the cube?
Answer:
Each side is 6 units.
Step-by-step explanation:
The problem is not how to do the question. The problem is how to get your calculator to do the question.
V = s^3
s = ?
V = 216
So what you need is the cube root of 216
s^3 = 216
cube root(s^3) = cube root(216)
s = cube root 216
Your calculator should have a y^x or x ^y key.
Put in 216
Press the y^x key or the x^y key
Put in 0.33333333333
You should get something like 5.999999 which you should round to 6.
The slope of a line that passes through (-2,5) and (1. 7) in simplest form is
Which line has a slope of 0?
Answer:
y= -5
Step-by-step explanation:
Answer:
y= -5
Step-by-step explanation:
Eighteen cups are equally packed into 6 boxes. Two boxes of cups break. How many cups are unbroken?
Answer:12
Step-by-step explanation:
18/6=3 cups in each box
3*2=6 cups broke=2 boxes
18-6=12 cups are unbroken
What is the answer for number 2
Answer:
Your answer would be x = 63
Step-by-step explanation:
What I would do first is to isolate the -1/9x, which means I would subtract 17 on each side, giving me -1/9x = -7
Next I would multiply -9 (which is the inverse of -1/9) on both sides, negating the negative sign and making 63 positive, and thus isolating x as well.
Work out what x =
Please and explication
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Suppose Tetha = alpha = 26°
Then ;
[tex] \tan( \alpha ) = \frac{y}{x} \\ [/tex]
[tex] \tan(26°) = \frac{8}{x} \\ [/tex]
[tex]0.487 = \frac{8}{x} \\ [/tex]
Multiply sides by x
[tex]0.487x = 8[/tex]
Divide sides by 0.487
[tex]x = \frac{8}{0.487} \\ [/tex]
[tex]x = 16.427[/tex]
[tex]x≈ 16.43[/tex]
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Solve the following inequality using both the graphical and algebraic approach:
5-x<2(x - 3) + 5
A) x<2 Graph A
B) x>2 Graph A
C) x<2 Graph B
D) x>2 Graph B
Answer:
a
Step-by-step explanation:
a
The correct answer for the given inequality 5-x<2(x - 3) + 5 is x<2 Graph A
What is an inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, an inequality 5-x<2(x - 3) + 5
On solving, we get,
5-x < 2x-6+5
5-x < 2x-1
5+1 < 3x
x < 2
Let y₁ = 5-x, and y₂ = 2(x - 3) + 5
Plotting the graph, we get the graph A
Hence, the correct answer for the given inequality 5-x<2(x - 3) + 5 is x<2 Graph A
For more references on inequality, click;
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What is an equation of the line that passes through the point (-8,0) and is perpendicular to the line x+2y=14
Step-by-step explanation:
let eqn be y = mx + b.
Since perpendicular, m = - 1/(-0.5) = 2
sub (-8, 0):
0 = 2(8) + b
b = - 16
therefore equation is y = 2x - 16
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
What is -7 as a fraction and explain plss
Answer:
-7/1
Step-by-step explanation:
any number over 1 in a fraction is the number on the top of one for example
2/1 is 2 and 100/1 is 100 and even -7/1 is -7
5
Subtract 27 from 43
14
21
Answer:
-0.4522
Step-by-step explanation:
what is 0.65 0.59 3/5 from least to greatest
Answer:
0.59, 3/5 0.65
Step-by-step explanation:
3/5 = 0.60
Answer: 0.59, 3/5 (0.60), 0.65
Step-by-step explanation: If you would convert 3/5 into a decimal it would be 0.6, you'd divide 3 by 5. Hope this helps!
Ten percent of the engines manufactured on an assembly line are defective. If engines are randomly selected one at a time and tested, what is the probability the fourth defective engine will be found on the second trial?
Answer:
0
Step-by-step explanation:
From the given information;
Let x be the number of trails on which the [tex]r^{th}[/tex] defective occurs.
Let the probability that an occurrence of a defective be p = 0.10
Suppose x is a random variable that follows a negative binomial distribution with parameters r and p.
Then the probability mass function of X can be expressed as:
[tex]P(X=x) = \bigg (^{x-1}_{r-1} \bigg)p^r (1 - p) ^{x-r} \ \ \ \ ; x=r, \ r+1 , \ r+2 , ...[/tex]
[tex]P(X=x) = \bigg (^{x-1}_{r-1} \bigg)(0.10)^r (1 - 0.10) ^{x-r}[/tex]
[tex]P(X=x) = \bigg (^{x-1}_{r-1} \bigg)(0.10)^r ( 0.90) ^{x-r} \ \ ... \ \ (1)[/tex]
We are to find the probability of the fourth defective engine will be found on the second trial.
i.e. r = 4 and x = 2
[tex]P(X=2) = \bigg (^{2-1}_{4-1} \bigg)(0.10)^4 ( 0.90) ^{2-4}[/tex]
[tex]P(X=2) = \bigg (^1}_{3} \bigg)(0.10)^4 ( 0.90) ^{-2}[/tex]
[tex]P(X=2) = \bigg (\dfrac{1!}{3!(1-3)!} \bigg)(0.10)^4 ( 0.90) ^{-2}[/tex]
[tex]\mathbf{P(X=2) = 0}[/tex]
The figure below shows total costs for three gym memberships. Which is the most accurate statement?
Solve the system by substitution or elimination. {y=2x+8y=3x−1 A. (95,585) B. (7, 22) C. (9, 26) D. (75,545)
Answer:
C. (9, 26)
Step-by-step explanation:
By Substitution:
y = 2x + 8
y = 3x - 1
---------------------
2x + 8 = 3x - 1
-x + 8 = -1
-x = -9
x = 9
Now we can choose either of the two equations given to solve for y:
y = 2x + 8
y = 2(9) + 8
y = 18 + 8
y = 26
(9, 26)
By Elimination:
For this process, I am going to rewrite the equation in "x + y" for as it will make it easier to eliminate the variables
y = 2x + 8
2x - y = -8
y = 3x - 1
-3x + y = -1
-----------------
2x - y = -8
-3x + y = -1
-----------------
-x = -9
x = 9
2x - y = -8
2(9) - y = -8
18 - y = -8
-y = -26
y = 26
(9, 26)
In this graph the y-intercept of the line is (Blank). The equation of the line is y=(Blank) x (Blank) .
Answer:
In the graph, the y-intercept is -2. The equation of the line is [tex] y = x - 2 [/tex]
Step-by-step explanation:
The equation of the line can be written in the slope-intercept form, y = mx + b.
First we need to find:
The slope = m
the y-intercept = b
Using two points on the line, (0, -2) and (2, 0) the slope can be calculated as follows:
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-2)}{2 - 0} = \frac{2}{2} = 1 [/tex]
The y-intercept is simply the point at which the line intercepts the y-axis. It is the value of y when x = 0.
Therefore, the y-intercept, b, = -2.
Substitute m = 1 and b = -2 into [tex] y = mx + b [/tex].
Thus, the equation if the line would be:
[tex] y = (1)(x) + (-2) [/tex]
[tex] y = x - 2 [/tex]
Help me with this pls
Can someone help plz helpppp!!!!!
Answer:
4N left
5N left
0N (balanced)
9N right
Step-by-step explanation:
The net force is the vector sum of all of the forces acting on an object. To find the net force when there are two opposite forces subtract the smaller number from the larger, for example, 7-2. Then take to total, 5N, and add the direction of the stronger force. If the equation equals zero that means you have a balanced force. To find the force of two actions in the same direction simply add them.
What is the run of a 50% slope with a rise of 50 feet?
A. 100 feet
B. 55 feet
C. 25 feet
D. 2500 feet
E. 50 feet
Rise of the line with 50% slope and 50 feet rise = 100 feet
Option (A) will be the answer.
Slope of a line: Slope of a line is given by the expression,
Slope = [tex]\frac{\text{Rise}}{\text{Rus}}[/tex]
Given in the question,
Slope of the line = 50%
= [tex]\frac{50}{100}[/tex]
= 0.5
Rise has been given as 50 feet.
Substitute the values in the expression for the slope,
[tex]0.5=\frac{50}{\text{Run}}[/tex]
Run = [tex]\frac{50}{0.5}[/tex]
= 100 feet
Therefore, run for the given line will be 100 feet.
Option A will be the answer.
Learn more about the slope of a line here,
https://brainly.com/question/2514839?referrer=searchResults
The value of y varies directly with x. If x = 4, then y= 10. What is the value of x when
y = 25
A 10
B. 2 1/5
C. 6
D. 15
jose trabaja 4 3/4 horas el lunes, 3 1/2 horas el martes, 6 3/4 horas el miercoles, 4 1/2 horas el jueves y 6 horas viernes, y 5 horas el sabado en promedio cuantas horas diarias trabaja
Answer:
5 horas
Step-by-step explanation:
Answer:
Step-by-step explanation:
( [tex]4\frac{3}{4}[/tex] + [tex]3\frac{1}{2}[/tex] + [tex]6\frac{3}{4}[/tex] + [tex]4\frac{1}{2}[/tex] + 6 + 5 ) ÷ 6 =
( 4 + 3 + 6 + 4 + 6 + 5 + [tex]\frac{6}{4}[/tex] + 1 ) ÷ 6 = 30.5 ÷ 6 = [tex]\frac{61}{2}[/tex] × [tex]\frac{1}{6}[/tex] = [tex]\frac{61}{12}[/tex] = [tex]5\frac{1}{12}[/tex] horas al dia
The graph displays the distance a CO2 car traveled in a race.
Help!!!
Answer:
5 seconds per foot
Step-by-step explanation:
Answer:A
Step-by-step explanation:
10. The expression 4 (2x-5)+7(x+2) can be written in simplest form as
(1) 11x-10
(3) 15x - 6
(2) 13x -3
(4) 16x + 7
Answer:
15x-6
Step-by-step explanation: 4 * 2x = 8x
4*-5 = -20
7*x = 7x
7*2= 14
Combine like terms 8x + 7x + 14-20
15x-6
What fraction is larger 3/8 or 10/24?
Answer:
10/24
Step-by-step explanation:
hope this helps :)
Answer:
5/8
Step-by-step explanation:
Have a good day! :)
What is the unit price of a 2 1/2 pound turkey for $6.25
Answer:
$2.50
Step-by-step explanation:
6.25/2.5=2.5
For the expression: 12 - 7k + 9 - k
What are the terms?
What are the like terms?
What are the coefficients?
What are the constants?
What is the expression simplified?
Answer:
like terms is -7k-k and 12+8
1) Find the interior angle sum of a 36-gon.
6120°
720°
900°
1800º
Sum of interior angles = ( number of sides -2) x 180 degrees.
Sum = (36-2) x 180
Sum = 34 x 180
Sum = 6,120 degrees.
what is y=(-2/3)x+400 as a function?
Answer:
y= −2x/3 + 400
Step-by-step explanation:
Hope this helps :)
Answer: what the other dude said
Step-by-step explanation:
PLEASSSEEE HELPPP ASAPPPPP
Answer:
first one is 32
the second one is 53
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let RS = x , then PS = x²
2x² + 2x = 84
x² + x - 42 = 0
(x + 7)(x - 6) = 0
x = 6
PQ and RS are 6
QR and SP are 36