Answer:
e = 2
Step-by-step explanation:
7(2e - 1) - 3 = 6 + 6e
14e - 7 - 3 = 6 + 6e
14e - 10 = 6 + 6e
14e - 6e - 10 = 6
8e - 10 = 6
8e = 6 + 10
8e = 16
8e/8 = 16/8
e = 2
Recheck:
7(2e - 1) - 3 = 6 + 6e
7(2(2) - 1) - 3 = 6 + 6(2)
7(4 - 1) - 3 = 6 + 12
7(3) - 3 = 18
21 - 3 = 18
18 = 18 ✅
if you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up as a 3 or a 4?
Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
There are 9 rolls, hence [tex]n = 9[/tex].Of the six sides, 2 are 3 or 4, hence [tex]p = \frac{2}{6} = 0.3333[/tex]The desired probability is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which:
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
Then
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{9,0}.(0.3333)^{0}.(0.6667)^{9} = 0.026[/tex]
[tex]P(X = 1) = C_{9,1}.(0.3333)^{1}.(0.6667)^{8} = 0.117[/tex]
Then:
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.026 + 0.117 = 0.143[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.143 = 0.857[/tex]
0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For more on the binomial distribution, you can check https://brainly.com/question/24863377
PLEASE ANSWER ILL GIVE 5 STARS AND A HEART!!!
Answer:
120
Step-by-step explanation:
5x6 = 30
30x4= 120
a linear function yand x has graduent -6/7 and y-intercept 8. write down the equation of the function.
Answer:
y = - 6/7x + 8Step-by-step explanation:
The slope- intercept form is:
y = mx + b, where m is the slope (or gradient) and b is the y-interceptWe have:
m = - 6/7 and b = 8The line is:
y = - 6/7x + 8I need help with this question
Answer:
check online for more information
True or False (See Image)
The remainder theorem can be used to check if a binomial is a factor of a larger polynomial.
Answer: true
Step-by-step explanation:
23+4⋅2−7
the 23 is 2 to the third power.
Answer:
12618
Step-by-step explanation:
23x23x23=12617
4•2=8
12617+8=12625
12625-7=12618
Answer: 9
Step-by-step explanation:
The correct answer to [tex]2^{3} + 4[/tex] ⋅ [tex]2 - 7 = 9[/tex]
I hope that helps :)
plssssssssssssssssssssss help me i will mark you the brainlyest Graph.
y= –34x–1
Answer:
the x-axis is 0,1
the y -axis is -1, - 35
sorry if im rong
Step-by-step explanation:
Answer:
look at explanation
Step-by-step explanation:
the first thing to do when graphing is to look at your y coordinate, the last number without a variable behind it. this would be (-1).
mark -1 on your graph, which should be one slot to the left of zero.
the slope (the number with the variable behind it) can be read as rise/run. turn -34 into a fraction by simply putting it over 1. this will give you -34/1.
your rise in this case would be -34, which means from -1, go down 34 slots and put a nother dot. your run(denominator in fraction) is where you move horizontally. since the run is 1, move over 1 spot from where your last dot is and that is your final plot. connect the first dot you made tot he third dot you made and you have officially graphed it.
What is the perimeter of the trapezoid?
10m
8m
10m
18m
Answer:
46 m
Step-by-step explanation:
The perimeter of any figure is the sum of the lengths of its sides.
8m +10m +10m +18m = 46 m
The perimeter of the figure is 46 meters.
Pre college need help with this question
Answer:
the domain is {7,-4,1,4,}
the range is {1,-5,2,-7}
Step-by-step explanation:
U like fruit WELL ANSWER THIS. lol pls help!!!
Answer:apple
Step-by-step explanation:
Answer:
Blueberries.
Step-by-step explanation:
Apples calorie is 80, Blueberries calorie is 83, Pumpkins calorie is 49, Raspberries calories is 10. The highest number of calories on this list is 83, which is blueberries
Look at the graph below. What is the y-intercept?
Answer:
- 2 is the answer:)
Step-by-step explanation:
Wherever the line crosses on the y thats the answer
product of (x+2y^2)(2x-2y^2)
Answer:
Step-by-step explanation:
(x + 2y²)(2x - 2y²)
FOIL
First
x(2x) = 2x²
Outside
x(-2y²) = - 2xy²
Inside
2y²(2x) = 4xy²
Last
2y²(-2y²) = - 4y⁴
combine like terms
2x² + 2xy² - 4y⁴
Answer:
-4y^4 + 2xy^2 + 2x^2
Step-by-step explanation:
(x + 2y^2) (2x - 2y^2)
x(2x) + x(-2y^2) = 2x^2 - 2xy^2
2y^2(2x) + 2y^2(2y^2) = 2xy^2 + 4y^4
2x^2 - 2xy^2 + 4xy^2 - 4y^4
2x^2 + 2xy^2 - 4y^2
or
-4y^4 + 2xy^2 + 2x^2
what rounds up to 5,620 to the nearest ten
5,610
Step by step explanation:When rounding to the nearest ten, like we did with 5620 above, we use the following rules:
We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.Answer: 5620
~~Step-by-step explanation~~
Rounding has a simple rule. 5 or above? Up you shove. 4 or below? Keep it low.
1. What are you using to round?
5620 : The tens place is the number we are either going to be rounding up or keeping. In this case, it is the 2 in 5620.5620 : When rounding to the nearest ten, you look at the ones section. In this case, it is the 0 in 5620.2. Execution
When rounding up to tens, look at the ones value. If the number is 5 or above, round the tens place up a number. (ex. 5625 --> 5630) If the number is a 4 or below, keep the tens value the same. (ex. 5624 --> 5620)Since the ones place in 5620 is below a four, we are going to keep the tens value the same, so the answer is going to be 5620.
Natasha has a job putting letters in envelopes to be mailed. In 1 hour she put 42 letters
Answer:
In a period of time of 24 hours...
Step-by-step explanation:
In a period of time of 24 hours, she would have put 1008 letters. Good job Natasha
how much simple interest will be earned in 3 years on $2500 in an account that pays 1.5%
Answer
Step-by-step explanation:
Answer:
$112.50
Step-by-step explanation:
1.5% = 0.015
$2500 × 0.015 × 3 = $112.50
Helppp meee please !!!
Answer:
why has the speaker come to the earth
Answer:
the two numbers are 3x and -x.
Step-by-step explanation:
product = -3x²
sum = 2x
hope this helps you.
A box plot is shown
O
2
4
6
8
10
12
Determine the five-statistical summary of the data. Drag the correct number to each variable in the summary.
14
16
18
20
22 24 26
28
30
Minimum:
Maximum:
Median:
First Quartile:
Third Quartile:
1
2
3
4
11
5
12
6
ما تا ته
13
14
8
21
15
22
16
10
23
17
24
18
25
19
26
20
27
28
29
30
Please answer fast
Answer:
O
2
4
6
8
10
12
Determine the five-statistical summary of the data. Drag the correct number to each variable in the summary.
14
16
18
20
22 24 26
28
30
Minimum:
Maximum:
Median:
First Quartile:
Third Quartile:
1
2
3
4
11
5
12
6
ما تا ته
13
14
8
21
15
22
16
10
23
17
24
18
25
19
26
20
27
28
29
30
Please answer fast
(5 + 13 + 21 + ......... + 18) = ?
Correction:
5+13+21+...+181
First term = 5
Common difference = 13-5 = 8
Last term = an = 181
⇛a+(n-1)d = 181
⇛5+(n-1)(8) = 181
⇛ 5+8n-8 = 181
⇛ 8n-3 = 181
⇛ 8n = 181+3
⇛ 8n = 184
⇛n = 184/8
⇛ n = 23
Sum of the first n terms = Sn = (n/2)(a+an)
Sum of 23 terms = S 23
⇛(23/2)(5+181)
⇛ (23/2)(186)
⇛23×93
⇛2139
The ages of Edna, Ellie, and Elsa are consecutive integers. The sum of their ages is 123. What are their ages? Show work.
Answer:
Ellie's age is 41, Edna's age is 40, Elsa's age is 42
Step-by-step explanation:
Let Ellie's age be x. Because they're consecutive integers, Edna's age is x-1 and Elsa's age is x+1. Therefore, 3x=123, x=41, so Ellie's age is 41, Edna's age is 40, Elsa's age is 42
Answer:
Edna is 40, Ellie is 41 and Elsa is 42.
Step-by-step explanation:
let Edna be m years old
m - Edna
m+1 - Ellie
m+2 - Elsa
m+m+1+m+2=123
Collect like terms
3m+3=123
3m=123-3
3m=120
Divide through by 3
m=40
Therefore, Edna is m=40 years old
Ellie=m+1=41 years old
Elsa=m+2=42 years old.
Solve the inequality 2x^2-6>0
Answer:0
Step-by-step explanation:
Help pelsss thank you math sucks
Answer:
103
Step-by-step explanation:
180-77=103
Please help me understand how I would pick the correct formula for step 1 for the question in the image? I am really confused.
Answer:
The first option
Step-by-step explanation:
We are doing height above shadow height. Since the telephone poll is 40 feet high with a 32 feet shadow, it is 40/32. We know the sign casts a 12 1/2 shadow, so this will be our denominator. h is our unknown, so we will have h / 12 and a half as our second fraction for our ratio.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
PLEASE HELP ME
Question 7 of 10
Which of the following is equal to the fraction below? (5/9)⁸
A. 5⁸/9⁸
B. 5/9⁸
c. 5⁸/9
D. 8•(5/9)
SUBMIT
Answer:
A 5⁸/9⁸
Step-by-step explanation:
the bracket there shows that the power is for both the numerator and denominator so A is the correct answer
Marc drove 312.8 miles on 12.5 gallons of gas. What was the car’s average mileage miles per gallon for the distance.
Answer:
25.024 mi/gal
Step-by-step explanation:
To find miles per gallon, divide miles by gallons.
(312.8 mi)/(12.5 gal) = 25.024 mi/gal
Morgan Office Supply sells 8 reams of Brand X paper for $40 and 4 reams of Brand Y paper for $19. What is the cost savings per ream of paper for the cheapest brand?
Answer:
$0.25 per ream
Step-by-step explanation:
The costs per ream are ...
X: $40/(8 reams) = $5/ream
Y: $19/(4 reams) = $4.75/ream
The savings per ream is $5.00 -4.75 = $0.25 for the cheapest brand.
How many meters are equal to 18 kilometers?
Answer:
18000
Step-by-step explanation:
The number of meters in 18 kilometers is 18,000 meters(m)
How to convert meters to kilometers1900 meter(m) = 1 kilometer(km)x meters = 18 kilometers
x meters = 18 kilometers × 1000
x = 18,000 meters
Therefore, 18 kilometers is equivalent to 18,000 meters
learn more about conversion:
https://brainly.com/question/9032119
How do you know where to place a decimal in a quotient?
Approximately what portion of the box is shaded blue?
A.2/3. B.9/10
C.3/5
In one month Karissa earned $600 at her part-time job, and $50 was withheld for federal income tax. Suppose she earns $900 next month. How much will be withheld for federal income tax?
Don't get me wrong, I am not exactly sure but I believe it is supposed to be 75$.
pls help. Have tried this problem a couple times but my answers didnt work
Answer:
infinite solutions...
Step-by-step explanation:
Is there more information to this problem? It can be pretty much anything.
N=3M
Nina can be 30 and Maryna 10, Nina can be 3 and Maryna 1, Nina can be 15 and Maryna 5...
Answer:
N - 4 = 3(M - 4). Simplified further, N - 4 = 3(M - 4)
Given,
Nina is N years old now and;
Maryna is M years old now
If four years ago, Nina was three times as old as Maryna was, then
Four years ago, Nina's age was N - 4
Four years ago, Maryna's age was M - 4
Given that Nina was three times as old as Maryna was four years ago, it means that
N - 4 = 3(M - 4)
To solve further
N = 3m - 12 + 4
N = 3M - 8
Step-by-step explanation:
