Find the slope of the tangent line to f(x) = 2x +3 at
at x = 2.
Which value is the solution for this equation
7y - 15 = 27
Answer:
Y = 7
Step-by-step explanation:
The CPU of a personal computer has a lifetime that is exponentially distributed with a mean lifetime of six years.
A) What is the probability that the CPU fails within three years? (6 points) (Round your answer to 4 decimal places)
B) Assume that your corporation owned 10 CPUs, and assume that the CPUs fail independently. What is the probability that at least one fails within three years? (8 points) (Round your answer to 4 decimal places)
Answer: 0.393 ; 0.9933
Step-by-step explanation:
Given that :
Mean lifetime follows an exponential distribution (m) = 6
a. What is the probability that the CPU fails in the next three years?
Using the poisson distribution formula :
1 - e^-λt
λ = 1/m = 1 / 6 = 0.1667
Probability of failure in next 3 years :
P(X < 3) = 1 - e^-λx
P(X < 3) = 1 - e^-0.1667*3
P(X < 3) = (1 - e^-0.5)
P(X < 3) = 1 - 0.6065306
P(X < 3) = 0.3934693
= 0.3935
b. Assume that your corporation has owned 10 CPUs for three years, and assume that the CPUs fail independently. What is the probability that at least one fails within the next three years?
Number of pc owned = 10
CPU failure is indepndent
Probability of atleast one fails :
1 - P(X ≥ 3)^n
P(X ≥ 3) = 1 - P(X < 3)
P(X ≥ 3) = 1 - 0.3935 = 0.607
Hence,
1 - P(X ≥ 3) = 1 - 0.6065^10
1 - P(X ≥ 3) = 1 - 0.0067345
1 - P(X ≥ 3) = 0.993265
= 0.9933
Which pair shows equivalent expressions? Hurry it’s timed
Answer:
B I'm pretty sure
Step-by-step explanation:
You are negotiating a loan with a bank officer. The loan is at a moderate interest rate, and the term of the loan is six months. The bank officer tells you your monthly payment. Explain how you can quickly check whether or not the figure the bank officer gave you is reasonable. Choose the best answer.
A. Move the decimal point one place to the left. This is a reasonable estimate.
B. Multiply the interest rate by 100 and divide by 6. This should be the approximate amount of the payment.
C. Divide the loan amount by 6. This is the maximum you will be paying.
D. Divide the loan amount by 6. This is the minimum you will be paying.
Answer:
Step-by-step explanation:
I have this answer too and it's not B or D. So it might be A or C
To figure out if the figure the bank officer gave you is reasonable, divide the loan amount by 6. This is the minimum you will be paying.
According to the question, the tenure of the loan is six months. The borrower is expected to pay back a fraction of the principal and interest each month. This is the maximum amount that the borrower can pay.
The minimum amount that the borrower can pay each month is obtained by dividing the loan amount by six .
Learn more: https://brainly.com/question/11324711
Solve tan x =cot x for 0 < x < pi
tan(x) = cot(x)
tan(x) = 1 / tan(x)
tan²(x) = 1
tan²(x) - 1 = 0
(tan(x) - 1) (tan(x) + 1) = 0
tan(x) - 1 = 0 or tan(x) + 1 = 0
tan(x) = 1 or tan(x) = -1
x = π/4 + nπ or x = -π/4 + nπ
where in both cases, n is any integer.
In the interval 0 < x < π, we get solutions:
• x = π/4 from the first family (when n = 0)
• x = 3π/4 from the second family (when n = 1)
So the equation has solutions x = π/4 or x = 3π/4.
which expression is equivalent to 16+2•36?
L
Lllnubybybyyvybybybtcrxextvyb
When graphing a linear inequality, the origin can always be used as a test point for determining which side of a
boundary line should be shaded. True or False
Answer: True
Step-by-step explanation:
write the equation for 30 is 75% of what number show your work
Answer:
22.5
Step-by-step explanation:
How do you solve this question?
In order to find this answer, you must multiply the number given (30) by the percentage (75%). 75% is equal to .75. So, if you multiply 30 and 75%, you will get 22.5.
Hope this helps,
Philip
Brainliest always appreciated! <3
Which graph represents a function, f(x) that has a slope of 3 units and f(0) = 14?
Answer:A
Step-by-step explanation:
Since the slope is 3, hence it passes through the point (-4.67, 0). Hence the equation of the line is y = 3x + 14.
A linear equation is in the form:
y = mx + b;
where m is the slope, b is the y intercept and y, x are variables.
Since f(0) = 14, hence the y intercept is 14, hence the graph passes through point (0, 14).
Also, since the slope is 3, hence it passes through the point (-4.67, 0). Hence the equation of the line is y = 3x + 14.
Therefore the graph is attached below.
Find out more at: https://brainly.com/question/13911928
If 3 boxes weigh 10 pounds, how much do 4 boxes weigh?
Answer:
About 13.32 Pounds
Step-by-step explanation:
First. take the total weight of the three boxes and divide it by the number of boxes.
10/3 = 3.33 and so on
Now we know each box ways 3.33 pounds.
Now multiply 4 boxes by 3.33 pounds.
4 x 3.33 = 13.32
So the answer should be about 13.32 pounds.
Answer:
13.3pounds
Step-by-step explanation:
if 3boxes = 10pounds
4boxes= ?
4×10= 40÷3
13.3pounds
Please help!!!!!
Richard had a balance of -$322.25 in his account, and Scott had a balance of -$241.75 in his account.
Which statement explains why Richard owes the bank more than Scott?
A. -322.25 > -241.75
B. |-322.25| > |-241.75|
C. |-322.25| < |-241.75|
D. -322.25 < -241.75
Answer:
B is the answer
Step-by-step explanation:
because Richard owes the bank more than Scott
Answer:
it is B
Step-by-step explanation: I just took the test but i got it wrong so it is B
write six hundred fifty-eight and twenty-nine thousandths in standard form
Answer:
658.029
Step-by-step explanation:
hope this helps (´▽`ʃ♡ƪ)
did 57urgkg zucfhuiiiiiiiii
what is the square root of 125.3 rounded to the nearest hundredth ?
Answer:
11.19
Step-by-step explanation:
[tex]\sqrt{125.3} = 11.19374\\[/tex]
The hundreths place is the second digit to the right of the decimal point.
Since the number in the thousandths place is less than 5, the number in the hundreths place will remain as 9.
If the digit in the thousandths place had been 5 or greater, the answer would have been 11.20, as you would round the 9 up, consequently rounding the tenths place as well.
can you please help me with this question
Answer:
the answer would be 1800 feet
2++2++2+2+222+22222222222+++222=
Answer:
thank you thank you thank youuuu:))))) i will make our question now
Step-by-step explanation:
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Answer:
umm here is the slide cause i couldnt add it on the other question
Step-by-step explanation:
An endangered species of fish has a population that is decreasing exponentially (A - Apekt). The population 5 years ago was 1800. Today, only 800 of the
fish are alive. Once the population drops below 100, the situation will be irreversible. When will this happen, according to the model? (Round to the nearest
whole year.)
O 12 years from today
15 years from today
O 14 years from today
O 13 years from today
Answer:
13 years.
Step-by-step explanation:
I don't understand the original equation you entered, so I'm going to use another one.
[tex]A = A_0e^k^t[/tex]
Where A = initial population
A₀ = current population
e = Euler's constant
k = rate of decrease
t = time in years
Let's start off with what we know.
Today there are 800 fish left:
A₀ = 800
There were 1800 fish 5 years ago:
t = -5
A = 1800
The equation now looks like [tex]1800=800e^-^5^k[/tex]
First we find the rate of decrease.
[tex]\frac{1800}{800} = e^-^5^k[/tex]
⇒ [tex]2.25 = e^-^5^k[/tex]
⇒ [tex]ln(2.25) = -5k[/tex]
⇒[tex]\frac{ln(2.25)}{-5}[/tex]=k
⇒ k = -0.1621
The question asks when it will drop below 100, so make it equal to 100.
⇒[tex]100=800e^-^0^.^1^6^2^1^*^t[/tex]
⇒[tex]100/800=e^-^0^.^1^6^2^1^*^t[/tex]
⇒[tex]ln(1/8)=-0.1621*t[/tex]
⇒[tex]\frac{ln(1/8)}{-0.1621}[/tex] = t = 12.821
To the nearest year this is 13.
Which equation represents a line with slope 2/3 and y-intercept −6?
2x −3y= 18
3x −2y= 6
3x −2y= 12
2x +3y=−6
Write y=x^2−6x+4 in vertex form. Then identify the vertex.
64
Step-by-step explanation:
Where my Among Us fans at?!
Answer:
here
Step-by-step explanation:
i played it till 3 am once
Part A: Under a dilation of scale factor centered at (3,7), PT becomes
RT", Determine the coordinates of R'T" and sketch R'T' on the
graph
Part B: Under a dilation of scale factors centered at (-1,9), PT becomes
LM. Determine the coordinates of LM and sketch TM on the
graph
9514 1404 393
Answer:
see below
Step-by-step explanation:
Dilation changes the distance to the center of dilation by a factor equal to the scale factor.
Part A:
Point R is 2 grid squares left and 6 grid squares down from the center of dilation at (3, 7). So, point R' will be (3/2)(2) = 3 grid squares left and (3/2)(6) = 9 grid squares down from that center.
Likewise, point T is 2 square diagonals down and right of (3, 7), so T' will be 1 more square diagonal farther.
__
Part B:
As in Part A, the scale factor multiplies the distance from the center of dilation. L will be the midpoint between R and (-1, 9); M will be the midpoint between T and (-1, 9).
A school goes on a field trip to the zoo. They bring 67 people.
Each ticket to the zoo costs $23. ABOUT how much did the school pay
to go to the zoo?
Answer:
since u said about i assume we round
67 to 70 ppl
23$ to 20$
70x20
1400 they payed around 1400$
accurate answer
67x23
1541$ they payed 1541$ exactly
Based on the given information, which statement best explains whether the quadrilateral is a parallelogram?
Answer:
It is a parallelogram because it has either two or more sets of parallel lines
(Answer is 32) For the inverse variation equation p = 8/V, what is the value of p when V = 1/4 ?
1/32
1/2
2
32 <—— this is the correct answer!
Answer:
p = 32
Step-by-step explanation:
Given expression:
p = [tex]\frac{8}{v}[/tex]
Since v = [tex]\frac{1}{4}[/tex]
Now insert the parameters and solve;
p = [tex]\frac{8}{\frac{1}{4} }[/tex]
p = 8 ÷ [tex]\frac{1}{4}[/tex]
p = 8 x 4
p = 32
The number 4 + i is multiplied by some real number to yield 2 + one-half i. Which equation is true?
Answer:
A. (1/2)(4+i)= 2+ (1/2)i
Step-by-step explanation:
The equation 1/2(4+i) = 2+(1/2)i is the transformation if we multiply the complex number 4 + i with 1/2 option first is correct.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have a complex number:
= 4+i
Multiply it by 1/2
[tex]= \rm \dfrac{1}{2}(4+i)\\\\\rm =2+ \dfrac{1}{2}i[/tex]
[tex]\rm \dfrac{1}{2}(4+i) =2+ \dfrac{1}{2}i[/tex]
Thus, the equation 1/2(4+i) = 2+(1/2)i is the transformation if we multiply the complex number 4 + i with 1/2 option first is correct.
Learn more about the complex number here:
https://brainly.com/question/10251853
#SPJ2
slope = 1; y-intercept = -4
Write the linear equation in slope intercept form
Answer:
y = x - 4
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 1
y-intercept b = -4
Step 2: Write function
y = x - 4
A half of a pound of fudge cost$5.72,what is the unit rate per pound
Answer:
$11.44
Step-by-step explanation:
Since half a pound of fudge costs $5.72, then you just have to multiply by 2
5.72 x 2 = 11.44
So one pound of fudge costs $11.44
Hope this helps :)
Answer:
I think it's $1.39 per ounce.
Step-by-step explanation:
What is the answer plz?
Answer:
15$
Step-by-step explanation:
A television normally sells for $320 this week it’s on sale for 60% off the normal price what is the price of the sale
Answer:
128 dollars
Step-by-step explanation:
You would multiply 60 (that's the percentage off) by 320 ( the price of the T.V) and then subtract the answer you got from multiplying the two from the original price of the T.v (320)
Hope this helps
13. The graph below shows the relationship between the number of hours Cody works and the
amount of money he earns at his job. Which of the following statements is not true about the
relationship?
Answer:
If Cody works 20 hours, he will earn $150.
Step-by-step explanation:
The graph goes up by 1, 10, meaning if you do 20 times 10 you'll get 200, not 150
Answer:
$160
Step-by-step explanation:
