For the following exercise, determine the range (possible values) of the random variable, X. A batch of 300 machined parts contains 10 that do not conform to customer requirements. The random variable is the number of parts in a sample of 5 parts that do not conform to customer requirements. Choose the correct answer.
a. The range of X is {0,1,2,3,4,5,6}
b. The range of X is {0,1,2,3,4,5,6}
c. The range of X is {0,1,2,3,4,5,6}
d. The range of X is {0,1,2,3,4,5,6}
e. The range of X is {0,1,2,3,4,5,6}
Answer:
{0,1,2,3,4,5}
Step-by-step explanation:
We are given that
Total number of machine parts=300
Number of defective machine parts=10
Total number of good machine parts=300-10=290
Sample contain parts that do not conform to customer requirement=5
X is a random variable which is the number of parts in a sample of 5 parts that do not conform to customer requirements.
We have to find the correct answer.
The sample contain 5 parts
Therefore, the possible values of random variable X
0,1,2,3,4,5
Hence, the range of X is given by
{0,1,2,3,4,5}
what is the simplifed form of the fraction below?
24/30
Answer:
it is 4/5 because you have to divide by 6
A certain forest covers an area of 3500 km² suppose that each year this area decreases by 6.75% what will the area be after 15 years?
Answer:
Sure na bayan napo bayan
Please help asap!
The graphs of linear functions f and g are shown.
Enter the solution to the equation f(x) = g(x).
9514 1404 393
Answer:
x = -3
Step-by-step explanation:
The solution to the equation ...
f(x) = g(x)
is the x-value where the functions have equal values. That is the x-coordinate of the point where the graphs intersect. The intersection point is (-3, 5), so the solution to the equation is x = -3.
What is the probability of flipping 4 coins and having exactly three of them land on tails?
A) 1/16
B) 2/16
C) 3/16
D) 4/16
help its pre algebra
Answer:
$9 and $12
Step-by-step explanation:
Let "s" be small boxes and "L" be large boxes.
12*s + 6*L = $180
3*s + 2*L = $51
From the first equation:
L = ($180 - 12*s) / 6 = $30 - 2*s
Plug that into 2nd equation:
3*s + 2*($30 - 2*s) = 3*s + $60 - 4*s = $51
s = $9
L = $30 - 2*s = $30 - $18
L = $12
A right triangle has one leg that is 4 more than twice the other. The area of the triangle is 35. Find the length of the sides.
Answer:
one leg = 5
other leg = 14
Step-by-step explanation:
let 'x' = length of shorter leg
let '2x + 4' = length of longer leg
A = 1/2bh
35 = 1/2x · 2x + 4
35 = x² + 4
x² + 4 - 35 = 0
(x + 7)(x - 5) = 0
x = -7 and x = 5
We can eliminate -7 as an answer since a length cannot be negative
Answer:
The shorter leg = 5
The longer leg = 14
The hypotenuse = 14.866.....
Step-by-step explanation:
if we represent the smaller leg as "x" we firstly represent the longer leg as...
Longer leg = 2x + 4
(We can do this based on the question)
Now we need to undersstadn t in a right angle triangle the legs can be used as a height and base. So we can make the following equation.
[tex]A_{triangle} = \frac{bh}{2}[/tex]
Substitute the lengths of the legs as based and height and get...
[tex]A_{triangle} = \frac{(2x + 4)(x)}{2}[/tex]
[tex]35 = \frac{2x^{2} + 4x}{2}[/tex]
[tex]35 = x^{2} + 2x[/tex]
[tex]35 = x(x + 2)[/tex]
From here we can see that x = 5.
Therefore the lengths are as follows...
The shorter leg = x = 5
The longer leg = 2(5) + 4 = 14
The hypotenuse = [tex]\sqrt{5^{2} + 14^{2} }[/tex]
The hypotenuse = [tex]\sqrt{5^{2} +14^{2} }[/tex]
The hypotenuse = 14.866.....
Did I use the right properties to justify each step? 100 points!!
Answer:
You are right I am pretty sure
Theres the picture! Thank you.
Answer:
B. x = 8√3 ≈ 13.86; y = 8
Step-by-step explanation:
✔️Find x using trigonometric ratio:
Reference angle = 60°
opposite = x
Hypotenuse = 16
Thus:
Sin(60) = x/16
16*sin(60) = x
16*√3/2 = x
8√2 = x
x = 8√3 ≈ 13.86
✔️Find y using Pythagorean Theorem:
y² = 16² - (8√3)²
y² = 256 - 192 = 64
y = √64
y = 8
HELP ASAP PLEASE
Write an equivalent expression for 7 + 5 k minus 2 minus 3 k + n. Which statements are true about the steps for writing the equivalent expression? Check all that apply.
Combine the constant terms by adding 7 and –2.
The equivalent expression is 9 + 3 k.
n, 5 k, and negative 3 k are like variable terms.
Combine the like variable terms by adding the coefficients.
5 k and negative 3 k are like variable terms.
The constants 7 and –2 are like terms.
The equivalent expression is 5 + 2 k + n.
Combine the constant terms by adding 7 and 2.
Answer:
Combine the constant terms by adding 7 and –2.
Combine the like variable terms by adding the coefficients.
5 k and negative 3 k are like variable terms.
The constants 7 and –2 are like terms.
The equivalent expression is 5 + 2 k + n.
Step-by-step explanation:
Given
[tex]7 + 5k - 2 - 3k + n[/tex]
Required
Select right steps
True: The constants 7 and –2 are like terms.
True: Combine the constant terms by adding 7 and –2.
[tex]7 + 5k - 2 - 3k + n[/tex]
[tex]- 2+7 + 5k - 3k + n[/tex]
[tex]5 + 5k - 3k + n[/tex]
True: Combine the like variable terms by adding the coefficients.
[tex]5 + 5k - 3k + n[/tex]
[tex]5 + 2k + n[/tex]
True: The equivalent expression is 5 + 2 k + n.
Enter the ordered pair that is the solution to the system of equations graphed below.
y = 1/3x +4
y = 2x - 1
Answer:
Step-by-step explanation:
The solution is the coordinates of the point where the lines intersect: (3,5)
Find the value of x. Round to the nearest tenth. x=
27 , 34 , 11 ,
Answer:
x = 13.5
Step-by-step explanation:
x = 11 · (sin 34°) / sin 27°
Answer:
120
Step-by-step explanation:
180-27-34=119
119 round up to nearest 10 = 120
You look up at 1 but you are not soposed to answer the question by looking at 1, if you have nearest 10 to round then always look at the units.
Always look at the second digit of the nearest number that you would round up.
Example:
round 560 to the nearest 100.
The answer would be 600 because 0-4 goes down and 5-9 goes up,
and in this number 5 goes up so the answer would be rounded up.
If the question said round 560 to the nearest 10 then the answer would be the same because the second digit is 0 and 0 goes down so it does not make any difference. If the second digit goes down then you do not need to change your answer the answer would be the same as the question number.
The price of an item has risen to $216 today. Yesterday it was $135. Find the percentage Increase.
Can someone explain this to me? I really need help. Thx!
Answer:
3 to the 4th power.
Step-by-step explanation:
Basically, here 3 to the 3rd power is 27. Multiplying it by 3 is only adding another power, making it 81, which is the same answer to 3 to the 4th power if that makes sense.
Hi Brainly users! I have an 8th-grade math problem for you! Please see the screenshot! :)
Answer:
A) [tex]32\pi[/tex]
Step-by-step explanation:
First, solve the volume of the cylinder. It's about [tex]87.96[/tex]
Next, find the volume of the cone. It's about [tex]12.57[/tex]
Thus, the total volume is [tex]87.96[/tex] [tex]+[/tex] [tex]12.57[/tex], which is about [tex]100.53[/tex]
[tex]100.53[/tex] in terms of [tex]\pi[/tex] is A) [tex]32\pi[/tex]
Hope I helped!
Math help!!! Answers??
Answer:
5 = B, 13
and 6 = D, 18.4
Step-by-step explanation:
Hope it helps...
6 AM: −5°
4 PM: 27°
What is the change in temperature from 6 AM to 4 PM?
-5 to 0 is 5 degrees
0 to 27 is 27 degrees
Total change = 5 + 27 = 32 degrees.
Is this possible?
a=b
a²=ab
a²-b²=ab-b²
(a+b)(a-b)=b(a-b)
(a+b)=b
a+a=a
2a=a
2=1
Answer:
No. It is not possible.
Step-by-step explanation:
No, that is not possible.
The problem lies in that [tex]a=b[/tex].
Looking at your fourth line of work, [tex](a+b)(a-b)=b(a-b)[/tex]
You divided by [tex](a-b)[/tex].
And because [tex]a=b[/tex], [tex]a-b=0[/tex]
This means that when you divided by [tex](a-b)[/tex] you divided by zero, which cannot happen.
What is an equation of the line that passes through the points (1,6) and (1, 2)?
Answer:
x=1
Step-by-step explanation:
Since both lines have 1 as it x value, x=1 is the line
In a MBS first year class, there are three sections each including 20 students. In the first section, there are 10 boys and 10 girls, in the second section there are 15 boys and 5 girls, and in the third section, there are 12 boys and 8 girls. Five students are selected at random from each group to form committee of 15 students. What is the probability that all the 15 students selected are girls?
Answer:
[tex]3.52 \times 10^{-9} = 3.52 \times 10^{-7}\%[/tex] probability that all the 15 students selected are girls
Step-by-step explanation:
The selection is from a sample without replacement, so we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
All girls from the first group:
20 students, so [tex]N = 20[/tex]
10 girls, so [tex]k = 10[/tex]
5 students will be selected, so [tex]n = 5[/tex]
We want all of them to be girls, so we find P(X = 5).
[tex]P_1 = P(X = 5) = h(5,20,5,10) = \frac{C_{10,5}*C_{10,5}}{C_{20,5}} = 0.0163[/tex]
All girls from the second group:
20 students, so [tex]N = 20[/tex]
5 girls, so [tex]k = 5[/tex]
5 students will be selected, so [tex]n = 5[/tex]
We want all of them to be girls, so we find P(X = 5).
[tex]P_2 = P(X = 5) = h(5,20,5,5) = \frac{C_{5,5}*C_{15,5}}{C_{20,5}} = 0.00006[/tex]
All girls from the third group:
20 students, so [tex]N = 20[/tex]
8 girls, so [tex]k = 8[/tex]
5 students will be selected, so [tex]n = 5[/tex]
We want all of them to be girls, so we find P(X = 5).
[tex]P_3 = P(X = 5) = h(5,20,5,8) = \frac{C_{8,5}*C_{12,5}}{C_{20,5}} = 0.0036[/tex]
All 15 students are girls:
Groups are independent, so we multiply the probabilities:
[tex]P = P_1*P_2*P_3 = 0.0163*0.00006*0.0036 = 3.52 \times 10^{-9}[/tex]
[tex]3.52 \times 10^{-9} = 3.52 \times 10^{-7}\%[/tex] probability that all the 15 students selected are girls
how do i graph x+4y=8
Answer:
x = 8 y = 2
(8,2)
Step-by-step explanation:
You have to find the value of both x and y
x + 4y = 8
to find x you have to cancel out y so,
x + 4(0) = 8
x = 8
to find y you have to cancel out x
0 + 4y = 8
4y = 8
divide both sides by 4
y = 2
Hope this Helps!!!
By changing the equation to slope intercept form we draw the graph and graph is given in attachment.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Let us convert the equation of line x+4y=8 to slope intercept form.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
x+4y=8
4y=8-x
Divide both sides by 4
y=-x+2
Now let us find few point to draw the graph.
If x=0
y=2
If x=1
y=1
If x=2
then y=0
if x=3
then y=-1
Now plot (0, 2), (1, 1) and (3, -1) and draw the graph
Hence, by plotting the points (0, 2), (1, 1) and (3, -1) we draw the graph and the graph is in attachment.
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Help Me Please! I will give 40 points!!
Who is correct?
4^m x 4^5/ 4^n
Cung Pi simplifies to: 4^(m-n+5)
Thuy le simplifies it to: 4^m(n-5)
A. Cung Pi is correct
B. Thuy Le is correct
C. Both of them have equivalent expressions
D. Neither of them are correct
A. Cung Pi is correct. I hope this helps!
The population of a certain city increased by 18,000 people.
Write a signed number to represent this population change.
Answer:
[tex]+18000[/tex]
Step-by-step explanation:
Given
Increment = 18000
Required
Represent as a signed number
If the initial population is x.
The new population (y) will be:
[tex]y = x + 18000[/tex]
It is "+" because the population of the city increases.
Hence, the signed number is [tex]+18000[/tex]
19/20-3/10
Simplify if needed
For brainliest
Answer:
Answer is 0.65
Step-by-step explanation:
Answer: 13/20
Step-by-step explanation:
What is the volume of the figure below, in cubic centimeters?
2 rectangular prisms. One prism has a length of 12 centimeters, width of 9 centimeters, and height of 2 centimeters. The other prism has a length of 10 centimeters, width of 9 centimeters, and height of 8 centimeters.
756
936
1,008
1,080
The volume of the rectangular prism is V = 936 cm³
What is the Volume of a Rectangle?The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
To find the volume of the figure, we need to calculate the volumes of the two rectangular prisms separately and then add them together.
The volume of a rectangular prism is given by the formula:
Volume = length x width x height
For the first prism:
Length = 12 centimeters
Width = 9 centimeters
Height = 2 centimeters
Volume of first prism = 12 cm x 9 cm x 2 cm = 216 centimeters³
For the second prism:
Length = 10 centimeters
Width = 9 centimeters
Height = 8 centimeters
Volume of second prism = 10 cm x 9 cm x 8 cm = 720 centimeters³
Now, we add the volumes of the two prisms together to get the total volume of the figure:
216 cubic centimeters + 720 cubic centimeters = 936 centimeters³
Hence , the rectangular prism has volume of 936 cm³
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A woman can bicycle 80 miles in the same time as it takes her to walk 16 miles. She can ride 8 mph faster than she can walk. How fast can she walk
Answer:
she can walk 2 miles mph
Step-by-step explanation:
because 80 ÷8=10
16÷8=2
Answer:
2 miles p/h.
Step-by-step explanation:
16 miles walk = 80miles bike = 16/80 = 0.2 / 1
0.2 / 1 = 1 / 5 = 2 / 10 as we see 8 difference as we continue the pattern.
2 miles per hour is our answer
What does tan^2(x) mean
Answer:
Step-by-step explanation:
When the exponent is attached to the trig function like that, its essentially the same thing as taking the entire function to that power.
tan^2(x) = (tanx)^2
Add. Express the sum as a fraction in simplest form. −1/3+1/2 The sum is
Answer:
1/6
Step-by-step explanation:
Solve the following equation.
4x - 2 = 22-8x
Answer:
x = 2
Step-by-step explanation:
4x - 2 = 22 - 8x
Move all variables to a single side by adding 8x to both sides of the equation.
4x + 8x - 2 = 22 - 8x + 8x
12x - 2 = 22
Add 2 to both sides to move the constants to one side.
12x - 2 + 2 = 22 + 2
12x = 24
Divide both sides by 12 to isolate the x.
12x / 12 = 24 / 12
x = 2
Answer:
x = 2
Step-by-step explanation:
Add 2 to both sides.
4x - 2 +2 = 22 - 8x + 2
Simplify.
4x=-8+24
Add 8x to both sides.
4x+8x= -8x + 24 + 8x
Simplify.
12x = 24
Divide both sides by 12.
12x/12 = 24/12
Simplfy.
x = 2
hope this helps! :)
The perimeter of an equilateral triangle is 114mm.
State the length of one of its sides
Answer:
Since an equilateral triangle has all three side equal then one of its side is 38mm
The length of one of the sides of the triangle is 38 mm.
What is Perimeter?The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.
Given that all of the sides of an equilateral triangle are equal in length, we may calculate the length of a side by dividing the perimeter by the triangle's total number of sides, which is 3.
As a result, the equilateral triangle's one side has the following length:
114 mm / 3 = 38 mm
Therefore, the equilateral triangle's sides are each 38 mm long.
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