Answer:
A) 0.2967
B) 0.0747
C) 0.2637
D)0.6933
Step-by-step explanation:
We are told the box contains four 40-watt light bulbs, five 60-watt bulbs, and six 75-watt bulbs.
Thus, total number of bulbs = 4 + 5 + 6 = 15 bulbs
This is a combination problem.
Thus;
A) probability that exactly one of the selected bulbs are rated 75-watt will be = ((6C2) × (9C1))/(15C3)
= (15 × 9)/455
= 0.2967
B) probability that all three of the elected bulbs have the same rating;
Number of ways to select three 40 watt bulbs out of the 4 in the box = 4C1 = 4!/(3! × 1!) = 4
Number of ways to select three 60 watt bulbs out of the 5 in the box = 5C1 =
5!/(3! × 2!) = 10
Number of ways to select 75 watt bulbs out of the 6 in the box = 6C1 = 6!/(3! × 3!) = 20
Total number of ways = 4 + 10 + 20 = 34.
Thus, probability that all three of the elected bulbs have the same rating = 34/15C3 = 34/455
= 0.0747
C) probability that one bulb of each type is selected =
[(4C1) × (5C1) × (6C1)]/(15C3)
= (4 × 5 × 6)/455
= 0.2637
D) probability that at least two of the selected bulbs are rated 75-watt =
[(4C1 × 5C1 × 6C2)/15C3] + 6C3/15C3
= (4 × 5 × 15/455) + 20/455
= 0.6493 + 0.044
= 0.6933
Jorge reasons that the next letter in the sequence is M, since three letters of the alphabet are skipped between each listed. Which explains whether Marcy should agree with Jorge's inductive reasoning.
Complete question is;
Consider the sequence shown: A, E, I … Jorge reasons that the next letter in the sequence is M, since three letters of the alphabet are skipped between each listed letter. Which explains whether Marcy should agree with Jorge’s inductive reasoning?
A. No; the sequence could be listing the vowels in alphabetical order.
B. No; sequences with only three terms are too short to use to find patterns.
C. Yes; this is the only reasonable pattern that can be identified from the terms.
D. Yes; inductive reasoning is a valid method for determining terms of a sequence
Answer:
Options C and D are the correct reasons why Marcy should agree with Jorge.
Step-by-step explanation:
A) It's wrong because the alphabets don't have to be listed in alphabetical order.
B) It's wrong because sequence can take any form. It could be 2 terms used to find patterns. It does not matter.
C) This is correct because after letter A, the next 3 letters which are B, C, D were skipped before E. Also, after E, the next 3 letters were skipped which are E, F, G before I. Thus, it's the only reasonable pattern from the terms to find the next term.
D) Inductive reasoning is based on observing patterns in a sequence, which we can use to decide the next successive terms of such a sequence. Thus, this is true because inductive reasoning is a valid method.
Find the difference. You may find using a number line to be helpful. Simplify your answer.
1/3
- (- 8/3)
Answer:
3
Step-by-step explanation:
The scatterplot shows the number of guests who visited a hotel pool and the temperature on those days. Estimate the location of the line of best fit. About how many guests will visit the pool when the temperature is 85°F?
Answer:
A) 26 guests
Step-by-step explanation:
I just took the quiz on edge
Write 75% as a decimal
Answer:
0.75
Step-by-step explanation:
Answer:
0.75
Step-by-step explanation:
type in calculator
n f(x) = 2x , x=5. What is the value of the function?
Find the perimeter of the polygon with the vertices G(2, 4), H(2, – 3), J( – 2, – 3), and KC – 2,4).
The perimeter is units.
Answer:
22 units
Step-by-step explanation:
Add up all the units.
Solve the equation for x. x3 = 64
Answer:
4 is correct answer
Step-by-step explanation:
kindly see attached picture
hope it helped you:)
thanks!
Answer:
[tex] \tt {x}^{3} \: = \: 64[/tex]
[tex]\tt x \: = \: \sqrt[3]{64} [/tex]
[tex]\tt x \: = \: \sqrt{4 \times 4 \times 4} [/tex]
[tex] \underline {\boxed{ \tt x \: = \: 4}}[/tex]
Please Answer I will make you brainiest Could you please also explain I don't get it :(
Answer:
C, 2.15
Step-by-step explanation:
Arabian Plate: 1.29x10^-4 = .000129
African Plate: 6x10^-5 = .000006
Once you've converted both into standard form, divide them to find the difference.
.000129/.000006 = 2.15
Pls help me answer word problems about polynomials
Thank you!!!
X = 8 , m = 3 , EVAULATE !!!!
ILL GIVE YOU BRAINLIST SHOW WORK !!!
Answer:
2Step-by-step explanation:
[tex]2(3x+6)\div(10m)\\\\x =8\\m =3\\\\2(3(8)+6)\div(10(3))\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(3\left(8\right)+6\right)\::\quad 30\\=2\times\:30\div \left(10\left(3\right)\right)\\\\\mathrm{Calculate\:within\:parentheses}\:\left(10\left(3\right)\right)\::\quad 30\\=2\times\:30\div \:30\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:2\times\:30\div \:30\:\\:\quad 2[/tex]
Answer:
2
Step-by-step explanation:
plug it in
2(3(8)+6)/(10(3))
pemdas
2(24+6)/(30)
2(30)/(30)
60/30
2
Find the inverse of y = x^2+5
What is the value of 3 1/3 divided by 2/3
Answer: 5
Step-by-step explanation:
The required value of 3 1/3 divided by 2/3 is 5.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.
For example 4/2 = 2
We have to determine the value of 3 1/3 divided by 2/3.
As per the question,
⇒ 3 1/3 ÷ 2/3
Convert the mixed numbers to fractions,
⇒ 10/3 ÷ 2/3
⇒ (10/3)/(2/3)
⇒ 10/2
Apply the division operation, and we get
⇒ 5
Thus, the required value of 3 1/3 divided by 2/3 is 5.
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Three electrons are removed from each of 4 atoms. Write an expression to represent the net change on the charge for the group of atoms.
Answer:
The charge of each electron is -1, so the charge of three electrons is -3. Removing something is denoted by a negative sign. The expression that represents the removal of three electrons from each of four atoms is (-3)(-4).
Step-by-step explanation:
Enjoy
The remaining charge on the group of 4 atoms would be -
q(+) = + 12e.
What are electrons?The electron is a subatomic particle with a negative one elementary electric charge. Electrons belong to the first generation of the lepton particle family, and are generally thought to be elementary particles because they have no known components or substructure.Given is that three electrons are removed from each of 4 atoms
Now, the total electrons lost will be = 3 x 4 = 12 electrons.
The remaining charge on the group of 4 atoms would be -
q(+) = + 12e
Therefore, the remaining charge on the group of 4 atoms would be -
q(+) = + 12e.
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PLEASE HELP, THANK YOU! :)
Steps to solve:
-4z + 4 + 12z = 3z + 4 + 5z
~Combine like terms
8z + 4 = 8z + 4
~Subtract 4 to both sides
8z = 8z
~Divide 8 to both sides
0 = 0
All real numbers are solutions.
Set builder notation: {x | R}
This is an identity since every value can be a solution to the equation.
Best of Luck!
How you solve
-9+[b-8]=-5
your answer is B= 12 your welcome :)
What is the answer to 2log3(x)=4?
Answer:
x ≈ 4.19180
Step-by-step explanation:
[tex]2 log 3(x) = 4[/tex]
[tex]2 log(3)(x) = 4[/tex]
Divide both sides by 2log (3) to isolate x by itself
[tex]\frac{2log(3)(x)}{2log(3)} = \frac{4}{2log(3)}[/tex]
[tex]x = \frac{4}{2log(3)}[/tex]
or x ≈ 4.19180
using a calculator you can write the answer as a rounded number
The figures below are rectangles. Which polynomial represents the area of the shaded region? HAVE ALL MY POINTS but answer truthfully cause i have the answer choices
Answer:
[tex] 7x - 1 [/tex]
Step-by-step explanation:
Area of the shaded region = area of the large rectangular - area of the small rectangle
Area of rectangle is given as l*w
Area of the large rectangle = [tex] l*w = (x + 5)(x - 1) [/tex]
Expand
[tex] = x(x - 1) +5(x - 1) [/tex]
[tex] = x^2 - x + 5x - 5 [/tex]
Area of large rectangle [tex] = x^2 + 4x - 5 [/tex]
Area of small rectangle = [tex] l*w = (x + 1)(x - 4) [/tex]
[tex] = x(x - 4) +1(x - 4) [/tex]
[tex] = x^2 - 4x + x - 4 [/tex]
Area of small rectangle = [tex] = x^2 - 3x - 4 [/tex]
Area of shaded region = [tex] (x^2 + 4x - 5) - (x^2 - 3x - 4) [/tex]
[tex] = x^2 + 4x - 5 - x^2 + 3x + 4 [/tex]
Collect like terms
[tex] = x^2 - x^2 + 4x + 3x - 5 + 4 [/tex]
[tex] = 7x - 1 [/tex]
A group of 6 students is surveying their classmates to get feedback about different clubs they're involved in. If each surveys more than 2 of their classmates, the total number of completed surveys, s(x), is given by the equation s(x)=6x. What could be the domain of this function?
Answer:
The domain would be given by D = {X ≥ 2} X = [2, Z]. Since the variable Z is the number of children in the school. And the 6 children should not survey the same person, it would be Z / 6 for each interviewer.
Step-by-step explanation:
- If the group of children surveys more than 2 classmates, it means that the number with which the survey begins is 12 students.
And since the maximum number of students in the school is given by the variable of Z, then Z is the number with which the domain closes.
The rank would be given by the set of [2, Z]
Z / 6 being the maximum number of children surveyed by 1 interviewer.
The Domain of given function is, [tex]x\geq 2[/tex]
The Domain of function is defined as, all input values for which function is defined.
The total number of completed survey is given by a function,
[tex]s(x)=6x[/tex]
Since, If the group of children surveys more than 2 classmates, it means that the number with which the survey begins is 12 students.
It means value of x is always greater and equal to 2.
So that, [tex]x\geq 2[/tex]
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Melody weigh?
4. The bird flew 80 km in four hours. What was the bird's average speed in
km/hr?
━━━━━━━☆☆━━━━━━━
▹ Answer
20 km/h
▹ Step-by-Step Explanation
Amount of km - 80 km
Hours - 4 hours
km/h = 80/4
= 20 km/h
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Answer:
20 km/hr
Step-by-step explanation:
since she went 4 hours if we divide 80 km by 4 we should get our answer. 80/4 is 20 so the bird when 20 km/hr
Convert 2.7 miles to yards.
Answer:
the answer is 4752
Step-by-step explanation:
*please give me brainliest, i only need four more*
What is 6(x-1)-12= -5?
Answer:
x=[tex]\frac{13}{6}[/tex]
Step-by-step explanation:
[tex]6( x - 1) - 12 = - 5 \\ ⟹ 6x - 6 - 12 = - 5 \\ ⟹ 6x - 18 = - 5 \\ ⟹ 6x = - 5 + 18 \\ ⟹x = \frac{13}{6}[/tex]
Hi there! :)
Answer:
[tex]\huge\boxed{x = \frac{13}{6}}[/tex]
6(x - 1) - 12 = -5
Begin by adding 12 to both sides:
6(x - 1) = -5 + 12
6(x - 1) = 7
Divide both sides by 6:
6(x - 1)/ 6 = 7 / 6
x - 1 = 7/6
Add 1 to both sides:
x = 7/6 + 6/6
x = 13/6.
Write a story problem that will result to the problem -3+ -8
Answer:
-11
I went to Starbucks today knowing that i had -3 dollars in my bank account, but i wanted this Frappe so bad and it was 8 dollars. Long story short i ended up leaving with -11 dollars in my account.
how do I get every number from 1-20 using only four four's. Please this is due Monday. I'll make it worth more points too just... help
Answer:
go 4+4+4+4+4 4x5 its a simple answer i took this 4 years ago
Step-by-step explanation:
4
4
4
4
4
4x5=20
Problem 1
1.a. Use addition or subtraction to rewrite the equation.
13 POINTS
Enter the new equation as your answer.
7x - 3 = -17
Enter your answer
2.b. Use multiplication or division to rewrite the equation that you entered as an answer in part a.
Enter the new equation as your answer. *
(1 Point)
Enter your math answer
Answer:
7x = -14x = -2Step-by-step explanation:
1. Using the addition property of equality, we can add 3 to both sides of the equation. Then it can be rewritten as ...
7x -3 +3 = -17 +3
7x = -14
__
2. Using the division property of equality, we can divide both sides of the equation by 7. Then it can be rewritten as ...
7x/7 = -14/7
x = -2
_____
Additional comment
Note that we have used these steps to solve the equation, find the value of x that makes it true. We could use different steps to rewrite the equation to almost anything you want:
7x -3 -95 = -17 -95 ⇒ 7x -98 = -112 . . . . . subtract 95 from both sides
12(7x -98) = 12(-112) ⇒ 84x -1176 = -1344 . . . . multiply both sides by 12
The resulting equation is not helpful for finding a solution, but it is an accurate rewrite of the original equation.
What’s the difference between evaluating an expression for a given value of a variable and solving an equation?
Translate each phrase to an algebraic expression. (a) the product of 7 and d, decreased by 16 (b) the product of 7 and d decreased by 16
Answer:
a) 7d - 16b) 7(d - 16)Step-by-step explanation:
Question A:
Step 1. The product of 7 and d is = 7d.
Step 2. Then the next part is separated by a comma.
Step 3. This leads to the influence of the idea that 7d is subtracted by 16.
Step 4. This concludes that the answer is 7d - 16.
Question B:
Step 1: The product of 7 concludes that 7 is alone.
Step 2: The separation of and shows that the part after and is together.
Step 3: If it is together, we can conclude it goes in parentheses.
Step 4: If it is in parentheses, it means the number 7 is being distributed.
Step 5: This concludes the answer is 7(d - 16).
Hope this helped,
Kavitha
The points P, Q, R and S all lie on the same line segment, in that order, such that the ratio of PQ : QR: RS is equal to 4:2:1. If PS = 14, find PR.
Answer:
PR = 12
Step-by-step explanation:
P-----------Q-----------R----------S
ratio
4:2:1
PS = 14
add the ration = 4 + 2 + 1 = 7
14 / 7 = 2
PQ at 4 x 2 = 8
QR at 2 x 2 = 4
RS at 1 x 2 = 2
------------
14
PR = PQ + QR
PR = 8 + 4
PR = 12
The length of the line segment PR is 12 units.
What is a line segment ?A line segment is a subset of a line which has two endpoints.
According to the given question The points P, Q, R and S all lie on the same line segment PS and the ratio of PQ : QR: RS is equal to 4:2:1.
Assuming PQ = 4x, QR = 2x and RS = x.
We know PQ + QR + RS = PS.
∴ 4x + 2x + x = 14.
7x = 14.
x = 2.
PR = PQ + QR.
PR = 4(2) + 2(2).
PR = 8 + 4.
PR = 12.
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Write a number in which value of the digit 3 is 10 times as much as the value of the digit 3 in 942381 show your thinking.
Answer:
943,281
Step-by-step explanation:
Just move the 3 up a value
If it's in the ten's place, then move it to the hundred's place value.
If it's in the hundred's place, then move it to thousand's place value.
So on and so on...
The number is 943,281.
What is place value?Place value is the value of each digit in a number. The value of every digit in a number is different based upon its position. A number might have two similar digits but different values, which is decided by the position that the digit holds in the number.
Place value is the value of a digit according to its position in the number such as ones, tens, hundreds, and so on.
For example, the place value of 5 in 3458 is 5 tens, or 50. However, the place value of 5 in 5781 is expressed as 5 thousands or 5,000.
Given:
digit 3 is 10 times as much as the value of the digit 3 in 942381
Here the digit 3 is at hundred place value.
Then, after 10 times the place value be at thousand.
hence, the number would be 943,281.
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Felicity put down $800 on a used car. She took out a loan to pay off the balance of the cost of the car. Her monthly payment will be $175. After 9 months how much will she have paid for the car? (Consider ALL the money she has paid so far.) *
Answer:
After 9 months she would have paid $2,375
Step-by-step explanation:
All you really need to do is multiply 175 by 9, giving you 1,575, and then add the original $800 down payment.
A news outlet reported that fifty million Americans visited online retail sites on Black Friday, representing an increase of 35 percent versus a year ago. How many Americans visited online retail sites on Black Friday last year?
Answer:
37 million and 37037
Step-by-step explanation:
GivenCurrent year online retail site visitors = 50 millionPrevious year online retail site visitors = xThe difference = 35% increase from previous yearSolutionx + 35% = 50 millionx*1.35 = 50 millionx = 50 million /1.35 x = 37 million and 3703737 million and 37037 Americans visited online retail sites on Black Friday last year