Answer:
6^3
Step-by-step explanation:
Suppose six students from the class are chosen at random what is the probability none are mechanical engineering majors
Complete question :
In a class of 125 students, 27 are computer science majors, 51 are mechanical engineering majors, 12 are civil engineers and the rest are general engineering majors. Assume students only have one major.
Suppose six students from the class are chosen at random what is the probability none are mechanical engineering majors?
Answer:
0.039
Step-by-step explanation:
Total = T = 125
Computer Science = S = 27
Mechanical Engineering = M = 51
Civil Engineering = C = 12
General engineering, G = 125 - (27 + 51 + 12) = 35
Probability that none out of six chosen at random are Mechanical Engineering major :
Probability = required outcome / Total possible outcomes
Non mechanical engineering majors = 125 - 51 = 74
Probability none of 6 selected are mechanical engineering majors :
74C6 / 125C6
Recall :
nCr = n! / (n-r)! r!
, using calculator :
74C6 / 125C6 = 185250786 / 4690625500
= 0.0394938
= 0.039
Tell one the lines for the given points are parallel, perpendicular, or neither. Just your answer.
Line 1: (2, -3), (-4, -6)
Line 2: (-3, 2), (2, -8)
Answer:
Perpendicular
Step-by-step explanation:
Given
[tex]Line\ 1: (2, -3), (-4, -6)[/tex]
[tex]Line\ 2: (-3, 2), (2, -8)[/tex]
Required
Tell the relationship between both lines
We start by calculating the slopes (m) of both lines.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
For Line 1:
[tex]m_1 = \frac{-6 - (-3)}{-4 - 2}[/tex]
[tex]m_1 = \frac{-6 +3}{-4 - 2}[/tex]
[tex]m_1 = \frac{-3}{-6}[/tex]
[tex]m_1 = \frac{1}{2}[/tex]
For Line 2:
[tex]m_2 = \frac{-8 - 2}{2 - (-3)}[/tex]
[tex]m_2 = \frac{-8 - 2}{2 +3}[/tex]
[tex]m_2 = \frac{-10}{5}[/tex]
[tex]m_2 = -2[/tex]
The lines are not parallel because [tex]m_1 \ne m_2[/tex]
However, they are perpendicular, because:
[tex]m_1 = -\frac{1}{m_2}[/tex]
To prove this, substitute values for m1 and m2
[tex]\frac{1}{2} = -\frac{1}{-2}[/tex]
[tex]\frac{1}{2} = \frac{1}{2}[/tex] --- Proved
list the first multiples of 6
Answer:
1,2,3, and 6.
Step-by-step explanation:
Answer:the first multiples of six are 1,2,3,6
Step-by-step explanation:
look it up hope this helps
bill is $75. tip is 18% what is the total bill
Answer:
Total bill = $88.50
Step-by-step explanation:
Amount of bill = $75
Tip = 18%
Amount of tip = [tex]\frac{18}{100}*75[/tex]
Amount of tip = [tex]0.18 * 75[/tex]
Amount of tip = $13.50
Total bill = Bill + Tip
Total bill = 75 + 13.50
Total bill = $88.50
Cost of your insurance that you pay each month
A. Co-pay
B. Deductible
C. Premium
D. Co-insurance
PLEASE HELPPP
these are the cost and revenue functions for a product line of cat food sold in 70 lb bags at a single pet store based on the functions what is the maximum profit that can be made
Answer:b
Step-by-step explanation:
a student claims that a neutral atom has 6 protons and 7 electrons what mistake is the student making
Answer:
A proton needs two electrons to operate. Just like if an electron needed nutrons.
Step-by-step explanation:
y=−12x+. HELP PLEASE
Answer:
(-2,4), (0,3), (2,2)
Step-by-step explanation:
You can use the 3 points above to plot out the line on the graph and to find other points.
I need help with multiplying fractions
Answer:
[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Key skills needed --> Division of fractions, Multiplication of fractions
1) 2/4 over 5/8 is the same thing as division ---> [tex]\frac{2}{4}[/tex] ÷ [tex]\frac{5}{8}[/tex] = [tex]\frac{2}{4}[/tex] × [tex]\frac{8}{5}[/tex] = [tex]\frac{16}{20}[/tex] = [tex]\frac{4}{5}[/tex]
2) Dividing by a fraction is the same thing as multiplying by its reciprocal.
Basically if you are dividing by [tex]\frac{3}{4}[/tex], you are multiplying by [tex]\frac{4}{3}[/tex]. A reciprocal is when the fraction's numerator becomes the denominator, and the fraction's denominator becomes the numerator. [tex]\frac{1}{2}[/tex] --> reciprocal is [tex]\frac{2}{1}[/tex] (or 2)
Hope you understood and have a nice day!! :D
I need help if you help I’ll give you extra points!!!!!!!
Answer:
a=66m b=4.58cm
Step-by-step explanation:
a=5610 divided by 85=66 so 66m ×85 m =5610 meters squared
b=330cm ÷ 72 cm is 4.58. So 72×4.58=329.76 so rounded =330
free brainliest! if you answer this easy question c:
Answer:
5400.00
Step-by-step explanation:
Answer:
5400.00
Step-by-step explanation:
Steven ordered a pizza that was 14 inches in diameter how many inches was the radius of the pizza
Answer:
18inch
Step-by-step explanation:
Answer:
I sadly cannot answer your problem, hence you don't have enough evidence to calculate the radius. To find the radius, you have to do C/2π. You need the circumfernece to be able to solve this.
Select the correct answer from the drop-down menu.
8
3
For a certain base, blogi
and
slog, 0.5 = -1
The value of log, 46
Re
Answer:
the correct answer is 3
Step-by-step explanation:
just took it on edmentum
The value of the expression [tex]log_b(4b) = 3.[/tex]
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can use logarithmic rules to solve this problem.
First, we know that log_b(8) = 3.
Using the definition of logarithms, this means that b³ = 8.
Solving for b, we find that b = 2.
Next, we know that log_b(0.5) = -1.
Using the definition of logarithms, this means that b^(-1) = 0.5.
Solving for b, we find that b = 2.
Since both expressions have the same base, we can use the logarithmic rule that states log_b(xy) = log_b(x) + log_b(y) to simplify log_b(4b) as follows:
[tex]log_b(4b) = log_b(4) + log_b(b)[/tex]
We can use the logarithmic rule that states:
log_b(b) = 1 to simplify log_b(b):
[tex]log_b(4b) = log_b(4) + 1[/tex]
Now, we can use the logarithmic rule that states:
[tex]log_b(x) = log_c(x)/log_c(b)[/tex]
To convert log_b(4) to a base 2 logarithm:
[tex]log_b(4) = log_2(4)/log_2(b) = 2/1 = 2[/tex]
Substituting this into the expression we found earlier, we get:
[tex]log_b(4b) = log_b(4) + 1 = 2 + 1 = 3[/tex]
Therefore,
[tex]log_b(4b) = 3.[/tex]
Learn more about expressions here:
https://brainly.com/question/3118662
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Tell whether the given value is a solution of the inequality.
j+1>10; j = 9
A. Yes, j = 9 is a solution to the inequality.
B. No, j = 9 is not a solution to the inequality.
Answer:
Your answer is A
Step-by-step explanation:
Here you go mate
Step 1
j+1>10 Equation/Question
Step 2
j+1>10 Simplify
j+1>10
Step 3
j+1>10 add-1
j>9
answer
j>9
Hope this helps
Option B is correct, No, j = 9 is not a solution to the inequality j+1>10.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
We can substitute j = 9 into the inequality j + 1 > 10 and see if it is true or false.
j plus one greater than ten.
j + 1 > 10
We have to check whether j=9 is the solution of the given inequality.
Substitute j equal to 9 in the above inequality.
9 + 1 > 10
10 > 10
The inequality is not true when j = 9. Therefore, j = 9 is not a solution to the inequality.
Hence, Option B is correct, No, j = 9 is not a solution to the inequality j+1>10.
To learn more on Inequalities click:
https://brainly.com/question/28823603
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The Art Club at Northwest Middle School is selling candy bars as a fundraiser. The box plots below show the number of candy bars the members of the Art Club sold in the first two weeks of the fundraiser.
Select all of the following statements that are true about the Art Club’s candy bar sales.
The median number of sales in weeks one and two are equal.
The median number of sales in week one is greater than the median number of sales in week two.
The median number of sales in week two is greater than the median number of sales in week one.
The range of sales in weeks one and two are equal.
The range of sales for week one is greater than the range of sales for week two.
The range of sales for week two is greater than the range of sales for week one.
Answer:The median number of sales in weeks one and two are equal and The range of sales to in weeks one and two are equal
Step-by-step explanation:
Find two consecutive odd integers such that their product is 71 more than 7 times their sum
Answer:
iyt 71x7 which would be 497
write an equation that describes the function
Answer:
Answer D
Step-by-step explanation:
For each one simple put one of the x values in the x in the given equation. You will find that 9/3 give you 3, 12/3 give you 4. In other questions follow that rule for each and if the answer is the Y value then you know you are right.
Solve the inequality. Graph the solution. b- 2 ≥ -1
Answer:
Hopefully this can help
Step-by-step explanation:
You are planning the scale model of a town that you will build. For now, you are laying everything out on a coordinate plane as shown. You want to draw Wooster Street so that it is perpendicular to Main Street. You know that Wooster Street will pass through the point (-3, 8.75). Find the equation of the line for Wooster Street so that it is perpendicular to Main Street. Explain your reasoning
Answer:
3
Step-by-step explanation:
because if you look closely at the graph you see
Find the length median of the trapezoid( 20 points and brainliest if answered)
Answer:
first one would be 1440
second one would be 720
Step-by-step explanation:
Which fraction,11\10 OR 7/8 is greater than 1
Answer:
11/10
Step-by-step explanation:
To have a fraction greater than 1, you have to have a numerator (The top one in the fraction) greater than a denominator (the bottom one in the fraction). 7 is less than 8 and 11 is greater than 10 so that means that 11/10 is greater than 1.
2w − 1 = 1 so w = what
FACTOR and list your 4 steps: 5x^2y - 30xy^2
Answer:
5x • (x + 3y) • (x - 2y)
Step-by-step explanation:
Use the equation 2m + 4s = 16 to complete the table, then graph the line using s as the
dependent variable.
Answer:
S. 4
M. 2
S. 5
M. 8
And the graphing you just do those as m/s -->(M,S)
You can put the value of m or s in the given equation of m and s to obtained the missing value.
The completed table would look like:
[tex]\begin{array}{ccccc}m & 0 & 2 & -2 & 8\\s & 4 & 3 & 5 & 0\end{array}[/tex]
Simplifying the relation between m and s:[tex]2m + 4s = 16\\\\ \text{Dividing by 2 on both sides}\\\\ \dfrac{2m + 4s}{2} = \dfrac{16}{2}\\\\ m + 2s = 8[/tex]
How to evaluate the missing values?Use one of the given value and the equation to find the missing value:
For m = 0:[tex]m + 2s = 8\\ 0 + 2s = 8\\ 2s = 8\\\\ s = \dfrac{8}{2}\\\\ s = 4[/tex]
For s = 3:[tex]m + 2s = 8\\ m + 2 \times 3 = 8\\ m = 8 - 6\\ m = 2[/tex]
For m = -2:[tex]m + 2s = 8\\ -2 + 2s = 8\\ 2s = 10\\ \\ s = \dfrac{10}{2} \\\\ s= 5[/tex]
For s= 0:[tex]m + 2s = 8\\ m + 2 \times 0 = 8\\ m = 8[/tex]
Thus, the completed table would be:
[tex]\begin{array}{ccccc}m & 0 & 2 & -2 & 8\\s & 4 & 3 & 5 & 0\end{array}[/tex]
Learn more about linear equations here:
https://brainly.com/question/25826868
³√125×2³ is? please help no idea
A trough is an open container that is used to hold food or water for animals. The figure below shows a water trough.
1 4. How much ground is covered by the trough?
15. How much metal is needed to make the trough?
16. How much water can the trough hold?
Answer:
8 ft², 21.8ft², and 11.2ft²
Step-by-step explanation:
The price paid for a $4.50 pen after a 60% discount is applied
Answer:
1.80
Step-by-step explanation:
andy runs 441.6 meters in 16 seconds. if andy runs at a constant speed, how far does her run in one second? give your answer to the nearest tenth of a second.
The perimeter of a flag is 474 inches. The flag is 100 inches tall. How long is it?
Please help me on this question please?
Answer:
Rosie is incorrect.
Step-by-step explanation:
3600/200
The zeros get cancelled
36/2
The answer is 18.