What is the slope of the line graphed below
Find the equation of the line above. Write the equation in slope intercept form.
A friend recently planned a camping trip. He had two flashlights, one that required a single 6-V battery and another that used two size-D batteries. He had previously packed two 6-V and four size-D batteries in his camper. Suppose the probability that any particular battery works is p and that batteries work or fail independently of one another. Our friend wants to take just one flashlight. For what values of p should he take the 6-V flashlight
Answer:
The values of p = 0 < p ≤ 2/3
Step-by-step explanation:
First we write the probability of 6V flashlight working representing it as a binomial mass function of a binomial random variable
P ( 6v flashlight working ) = P ( at least one 6V battery works )
= P ( 1 6v battery work ) + P ( 2 6v battery work )
= b( 2; 2, p ) + b( 1; 2, p )
write out a formula of b( 2; 2, p ) + b( 1; 2, p )
P ( 6v flashlight working ) = p^2 + 2p( 1 - p )
Next we write the probability of D flashlight working representing it as a binomial mass function of a binomial random variable
P ( D flashlight works ) = p ( at least two D batteries works )
= b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )
write out a formula of b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )
P ( D flashlight works ) = [tex]P^4 + 4p^3 ( 1- p ) + 6p^2 ( 1- p)^2[/tex]
attached below is the remaining solution
what are all values of x for which the series shown converges?
Answer:
One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:
Iaₙ₊₁I < IaₙI
This means that the absolute value of the terms must decrease as n increases.
Then we must have:
[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}}[/tex]
We can write this as:
[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}} = \frac{(x -2)^n}{(n + 1)*3^n} * \frac{(x - 2)}{3}[/tex]
If we assume that n is a really big number, then:
n + 1 ≈ 1
And we can write:
[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2)^n}{(n)*3^n} * \frac{(x - 2)}{3}[/tex]
Then we have the inequality
[tex]1 > (x - 2)/3[/tex]
And remember that this must be in absolute value, then we will have that:
-1 < (x - 2)/3 < 1
-3 < x - 2 < 3
-3 + 2 < x < 3 + 2
-1 < x < 5
The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.
Edmund made a scale drawing of the rectangular floor of his kitchen. In the scale
drawing, 1 inch represents 2.5 feet. The measurements of the scale drawing are
shown in the diagram.
6.4 in.
4.8 in.
what is the perimeter of the actual kitchen floor in feet?
Answer:
324
Step-by-step explanation:
The new owners of Bluegrass Natural Foods, Inc., have hired you to help them diagnose and cure problems that the company has had in maintaining adequate liquidity. As a first step, you perform a liquidity analysis. You then do an analysis of the company’s short-term activity ratios. 3
Your calculations and appropriate industry norms are listed.
Current ratio bluegrass 4.5 industry norms 4.0
Quick ratio bluegrass 2 industry norms 3.1
Inventory turnover bluegrass 6 industry norms 10.4
Average collection period bluegrass 73 days industry norms 52 days
Average payment period bluegrass 31 days industry norms 40 days
a. What recommendations relative to the amount and the handling of inventory could you make
to the new owners?
b. What recommendations relative to the amount and the handling of accounts receivable could
you make to the new owners?
c. What recommendations relative to the amount and the handling of accounts payable could you
make to the new owners?
Answer:
I don't understand make is more simplify
What is the y-intercept of the parabola defined by y=−2x2+6x−8 and what is the equation of the axis of symmetry?
Answer:
y-intercept = (0, 8)
axis of symmetry= -b/2a
Step-by-step explanation:
Also when you want something to be squared use this symbol ^
Does this scatter plot show a positive trend, a negative trend, or no trend?
Answer:
no trend
a positive trend would start in the bottom left and go toward the top right
a negative trend would start at the top left and go town the bottom right
this is an example of no trend
Step-by-step explanation:
a "trend" shows an increasing or decreasing relationship between the x and y values, in this they don't have any sort of relationship. you can tell by the repeating y values for multiple different x-values, or the repeating x-values for multiple different y-values.
30 is 2/3 of what number
Answer:45
Step-by-step explanation:
Key Word:of
30*2/3 = 45
Answer:
Step-by-step explanation:
let the number be x.
then,
2/3 of x = 30
=> 2/3x = 30
=> x = 30 × 3/2
=> x = 45
so, the required number is 45 .
hope it helps...!!!
The cost of an iPhone is $899.99 plus 8.5% tax. What is the cost of tax for the iPhone?
Answer:
724.0915
Step-by-step explanation:
multiply 899.99 and 8.5 you get 724.0915
hope this helps
What is the 51st term of the arithmetic sequence 29,9,-11
Answer:
-951
Step-by-step explanation:
an=a1+(n−1)d
\begin{gathered}29 = a_1 + (1-1)d\\29 = a_1\\9 = 29 + (2-1)d\\9 = 29 + d\\d = -20\\a_n = 29 -20 (n-1)\\a_n = 29 - 20n+20\\a_n = -20n + 49\\\\a_51 = -20(51) + 49 = -951\end{gathered}29=a1+(1−1)d29=a19=29+(2−1)d9=29+dd=−20an=29−20(n−1)an=29−20n+20an=−20n+49a51=−20(51)+49=−951
The 51st term of the arithmetic sequence 29,9,-11 is -971 or a(51) = -971.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
It is given that:
The sequence is:
29, 9, -11
The above sequence represents an arithmetic sequence:
The common difference d = 9 - 29
d = -20
The first term a = 29
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.
The nth term of the AP:
a(n) = a + (n-1)d
a(n) = 29 + (n - 1)[-20]
a(n) = 29 -20n +20
a(n) = 29 -20n +20
a(n) = 49 - 20n
Plug n = 51
a(51) = 49 - 20(51)
a(51) = -971
Thus, the 51st term of the arithmetic sequence 29,9,-11 is -971 or a(51) = -971.
Learn more about the sequence here:
brainly.com/question/21961097
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Let g (2) = 22 – 5 and h (2) = 22 +1.
Find (g+h) (2)
Answer:
23 + 17 = 40 :)
A mail carrier travels at 15 miles per hour through a neighborhood. Which table
represents the distance the mail carrier travels in x hours?
2
G
H
0 1 3
yo 16 18
0 24
yo 30 55
x 135
y 15 45 75
x 134
y 15 40 55
Answer:
Step-by-step explanation:
the table is not copied correctly, I assume
the mail carrier will travel a distance of 15x
Please give me the correct answer
Answer:
the first one; 3*1/10^-4
Step-by-step explanation:
10^-4 can be ocnverted into a fraction: 1/10^4
Answer:
3 times 1/10,000
Step-by-step explanation:
I NEED HELP ASAP PLEASE
Order the numbers from least to greatest.
-5 1/2
-5.2
-5
-5/2
5.5
Answer:
Least to greatest: -5 1/2, -5.2, -5, -5/2, 5.5
Find the coefficient of x^2 y^3 in the expansion of (-4x+y)^5. Give your answer as an integer.
Select the correct answer
Answer:
Option B
Step-by-step explanation:
Domain of a function is represented by the set input values or x-values
Range of the function is represented by the set of output values or y-values.
From the graph attached,
y-values are varying from y = - 9 to y = 8.
Therefore, range of the function from the given graph will be,
-9 ≤ y ≤ 8
Option B will be the correct option.
IF I GET AN ANSWER IN 10 MIN UR VOTED BRAINLIEST
whats the best way to remember whether a number is positive or negative when adding subtracting multiplying and dividing?
Adding and subtracting with negative numbers
First, recognize that adding and subtracting are, from one viewpoint, the same thing. Subtracting a number is the same thing as adding the negative of that number. For example, 4 – 12 is the same as 4 + –12 (which, because the order of terms doesn't matter with addition, is the same as –12 + 4). With that in mind, here are the rules for adding with negative and positive numbers:
If both numbers are positive, then the answer is positive.
If both numbers are negative, then the answer is negative.
If the numbers have different signs, the answer takes the sign of the higher number.
Subtracting a negative number is the same as adding the positive of that number. For example, 5 – –4 is the same as 5 + 4.
Multiplying and dividing with negative numbers if the numbers have different signs, the answer is negative.
What of the following lines is perpendicular to the line passing across the points (1,1) and (-5,-6)?
y = 6/7x + 1
y = -6/7x + 1
y = -6/7x - 1
y = 6/7x - 1
K mola ofkg o okdgmbo9k
Answer: c
Step-by-step explanation:
I need all of these please
Answer:
Step-by-step explanation:
this is the solve for the first q. only sorry
Find the x- and y-intercepts of the parabola y=−3x^2−5x+6
The x-intercepts are x = 2/3 and x = 3.
The y-intercept is (0, 6).
What is a parabola?A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.
The equation of a parabola:
y = a(x - h)² + k
we have,
To find the x-intercepts, we set y to zero and solve for x:
0 = −3x^2 − 5x + 6
We can factor this quadratic equation:
0 = (−3x + 2)(x − 3)
x - 3 = 0
x = 3
And,
-3x + 2 = 0
-3x = -2
x = 2/3
So the x-intercepts are x = 2/3 and x = 3.
To find the y-intercept, we set x to zero and evaluate y:
y = −3(0)² − 5(0) + 6
y = 6
So the y-intercept is (0, 6).
Thus,
The x-intercepts are x = 2/3 and x = 3.
The y-intercept is (0, 6).
Learn more about parabola here:
https://brainly.com/question/21685473
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100 points! help please I need this
Answer:
5/4 is rational , 100 square root is irrational , 7.3 rational , 0.00247 is rational , 4/9 square root is irrational ,2/24 square root is irrational and 0.01 is rational :)
question is in the picture pls help me. much appreciated
Find the value of X
Answer:
7
Step-by-step explanation:
Since the smaller triangle is similar to the larger, then its' sides are in the same proportion. So:
1/2=2x-6/16
Then:
4x-12=16
4x=28
x=7 ........................
What is the answer to the following?
1. 8/9 divide by 2/3
2. 4 divided by 3/4
3. 2 1/2 divided by 3/4
4. 4/9 divided by 5 1/3
5. 7/8 divided by 14
i would go with either a or b
jerry's softball team is made up of 15 players,and 9 of them are boys.On the team,what is ratios to boys to girls?
Answer:
9:6
Step-by-step explanation:
boys= 9 teammates
girls= 6 teammates
11) Select the best answer.
How many significant figures does the following number have?
0.056
4
5
3
2
1
This symbol means that both sets could have the same elements. (A ⊆ B)
True
False
Answer:
true
Step-by-step explanation:
because it is
Answer:
True
Step-by-step explanation:
Question is in the image
Answer:
4.
Step-by-step explanation:
y = -2x + 3
-1 = -2(2) + 3
-1 = -4 + 3
-1 = -1
y = x - 3
-1 = 2 - 3
-1 = -1
2х + y = 4
у = 3х – 1
its 2 because 2plus is 2