Answer:
The probability that the pen will last at least 440 days is 0.1587
Step-by-step explanation:
Given that
Mean = μ = 400 days
SD = σ = 40 days
Now we have to find the probability of a data point X = 440
For that first of all we have to find the z-score of the value
z-score is found using the formula
[tex]z-score = \frac{x-Mean}{SD}[/tex]
Putting the values of x, mean and SD we will get,
[tex]z = \frac{440-400}{40} = \frac{40}{40} = 1[/tex]
At least 440 means that either 440 or greater than this, hence, we have to find area to the right of z=1
For that
[tex]P(z<1) = 0.8413\\P(z>1) = 1-P(z<1) = 1-0.8413 = 0.1587[/tex]
Hence,
The probability that the pen will last at least 440 days is 0.1587
The measure of angel B is (3x - 4)º and the measure of angel D is (2x - 6)°. What are the measures of angles B and D?
Answer:
b=110 d=70
Step-by-step explanation:
Answer:
110 70
Step-by-step explanation:
Appropriate Inverse Operation
Which would be used to solve this equation? Check all that apply.
=12
3
subtracting 3 from both sides of the equation
multiplying both sides of the equation by 3
dividing both sides of the equation by 3
substituting 4 for p to check the solution
substituting 36 for p to check the solution
*
Intro
Given the binomials (x − 3), (x − 1), (x + 2), and (x + 3), which one is a factor of f(x) = 2x3 + 3x2 − 2x − 3?
Answer:
nswer:
(x-1) is factor of our function.
Step-by-step explanation:
We are given a function and we are asked to find the correct factor from the given options.
Let us factor out our polynomial.
Therefore, (x-1) is correct choice for factor of our polynomial.
Step-by-step explanation:
Answer: B. (x-1)
Step-by-step explanation: I just took the test and got it right <3
What survival rate in the 10th year would make the average of loss over the 10 year period equal to 38.0%
Answer: 63%
Step-by-step explanation:
First step
Find the 10th year rate of loss that will make the average of loss over the 10 years to equal 38.0%.
Assume this rate is x;
[tex]\frac{(36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x)}{10} = 38.0\\\\\frac{343 + x}{10} = 38\\\\x = 380 - 343\\\\x = 37[/tex]
x = 37%
Second step - Survival rate
The survival rate is calculated by;
= 1 - rate of loss
= 1 - 37%
= 63%
need help on number 12 and 13 please!
Answer:3/4
4/3
Step-by-step explanation:
it i this
hi everyone,can someone help me find what -1+(-3)?
Answer: -4 is the answer
Step-by-step explanation: google caculator
Answer:
-4
Step-by-step explanation:
if you add 2 negatives it will be a negative
Use the power property to rewrite log3x9.
Answer:
[tex]\log _3\left(x^9\right)=9\log _3\left(x\right)[/tex]
Step-by-step explanation:
Given the expression
[tex]\log _3\:x^9[/tex]
now rewriting the expression
[tex]\log _3\:x^9[/tex]
[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0[/tex]
[tex]=9\log _3\left(x\right)[/tex]
Therefore,
[tex]\log _3\left(x^9\right)=9\log _3\left(x\right)[/tex]
Answer:
B
Step-by-step explanation:
edge
A friend tells you that her savings account doubled in 9 years. Use the Rule of 72 to estimate what the APR of her account was.
answer:The rule of 72 says that an amount will double when the product of the percentage and the number of years equals 72...so for 8 years, you would need to earn 9%
A company makes a very durable product. The company sells 20,000 products in the first year but will be diminishing sales due to the product's durability, so each year it can expect to sell only 75% of the quantity it will have sold the year before. How many products can the company expect to eventually sell?
a. 26,667 products
b. 40,000 products
c. 80,000 products
d. 35,000 products
Answer:
c. 80,000 products
Step-by-step explanation:
Year 1 = 20000
20000 * 0.75 = 15000
Year 2 = 15000
15000 * 0.75 = 11250
Year 3 = 11250
11250 * 0.75 = 8437.5
Etc.
20000 + 15000+ 11250 + 8437.5 = 54687.5
If you continue this, you'll eventually reach 80000
80000 products can the company expect to eventually sell.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
Given,
The company sells 20,000 products in the first year
a=20000
each year it can expect to sell only 75% of the quantity it will have sold the year before
r=75/100=0.75
Sum of Geometric sequence S=a/1-r
S=20000/1-0.75
S=20000/0.25
S=80000
Hence, 80000 products can the company expect to eventually sell.
To learn more on Sequence click:
https://brainly.com/question/21961097
#SPJ5
determine the size of triangle v show all your steps and give reasons for your statement
Answer:
95°
Step-by-step explanation:
since sum of interior angles add upto 180°
2x+3x+5+25°=180°
substituting you get
5x+30°=180°
5x=180-30
5x=150°
therefore divide
you will get x=30°
angle at v =30×3+5
=95°
C= 5/9(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answer:is yummy
Step-by-step explanation:1 eat a lot of food. Then you go to the potty. Then you poop and then wipe yourThen you flush the toilet and wash your hands.
Solve
44 - 3 (30 - 22) + 1/2 (66 - 88)
Answer:
59 1/2
Step-by-step explanation:
james is stocking shelves with notebooks. if he has 5 different notebooks, in how many ways can he arrange them on a shelf?
Answer: 120
Step-by-step explanation: I got it right, hope this helps ✨
Answer:
he has I20 different ways to put the books
Step-by-step explanation:
to solve this you would multiply 5x4x3x2 this is how many different combinations he can but the note book on the shelf. 5x4x3x2 is equal to 120
Hi there~
Divide:
4 1/3 ÷ 1 2/9
i ready algebra help
Answer:
It is the first one
Step-by-step explanation:
(3 X 10^2) (3 X 10^3)
Answer pls
Answer:
900000
Step-by-step explanation:
= (3 x 10 ^ 2) (3 x 10 ^ 3)
= (3 x 100) (3 x 1000)
= (300) (3000)
= 900000
HOPE THIS HELPS
PLZ MARK BRAINLIEST
Helppppppppopp asappppppppp
Answer:
10 = 74°
7 is alternate to 12 so 12 is 74°
On a blueprint, the diagram of a building has a height of 23 cm.
The height of the building is x times the height of the diagram.
Which equation represents the height, h, of the building?
A h = 23+x
B X = 23=h
C h = 23x
D
X = 23h
Answer:
C h = 23x
Step-by-step explanation:
The height is h, so we want h = something.
The blueprint height is 23 cm.
The real height is x times 23 cm, so it is 23x.
h = 23x
Answer: C h = 23x
Help!!!!!!!!!!!!!!!!!!!!!!
Answer:
-1:-15
-7:-69
6:48
1:3
2:12
Step-by-step explanation:
On my Ti-84 calculator I went into y=. Next, in y1=, I would put in the function and the next step is to press 2nd and graph. Now there's a table with all the answers you're looking for.
help........plsplav j h
14. Veronica is choosing between two health clubs.
After how many months will the total cost for
each health club be the same?
Yoga Studio
Yoga Studio A
Membership 522.00
Monthly Fee $24.50
Membership 547.00
Monthly Fee $18.25
Answer:
The total cost for each health club would be the same after 4 months.
Step-by-step explanation:
Answer:
The total cost for each health club will be the same after 4 months.
Step-by-step explanation:
For studio A:
Membership fee = $22.00
Monthly Fee = $24.50
The equation for studio A:
A = 22 + 24.5xFor studio B:
Membership fee = $47.00
Monthly Fee = $18.25
The equation for studio B:
B = 47 + 18.25xLet 'x' be the month of membership
We must have to find the value of month or 'x' for which the total cost at each health studio is the same.
i.e. when A = B
Hence, the expression will be
A = B
22 + 24.5x = 47 + 18.25x
Please note that if we put x=4, the L.H.S and R.H.S of the equations become the same
i.e.
22 + 24.5(4) = 47 + 18.25(4)
22 + 98 = 47 + 73
120 = 120
so, at x=4 the equations become the same.
Therefore, the total cost for each health club would be the same after 4 months.
Scenarios can be translated into
Answer:
can you please describe it more
Step-by-step explanation:
Will mark brainliest!
Answer:
3/2 then 1 then 0.65 then 6/10 and lastly 0.06
Step-by-step explanation:
A banana contains 105 calories. Last week, brendan and lea ate a total of 14 bananas. How many calories does this represent?
Answer:
1470
Step-by-step explanation:
Multiply
8x+16-3x+2 how do you get simplifies
Answer:
5x + 18
Step-by-step explanation:
simplify : 8x - 3x + 16 + 2 = ?
5x + 18 = ?
wait do you want to solve it or just simplify? If it is just simplify, can you mark me brainliest? =)
Use binomial expansion to solve each exercise. (a) Find the coefficient of xy19 in (3x − 2y) 20.(b) Give a formula for the coefficient of x k in (x+1/ x) n .
9514 1404 393
Answer:
(a) -29,884,416
(b) C(n,(n -k)/2) . . . where C(n,k) = n!/(k!(n-k)!) and k ∈ ℕ
Step-by-step explanation:
(a) The coefficient of the k-th term of the expansion is ...
C(20,k)(3x)^(20-k)(-2y)^k
For k=19, this is ...
19(3x)(-2y)^19 = -29,884,416xy^19
The coefficient of the term is -29,884,416.
__
(b) The p-th term of the expansion of (x +1/x)^n is ...
C(n,p)(x^(n-p)(1/x)^p = C(n,p)(x^(n-2p))
For some exponent k of x, the value of p will be ...
k = n -2p
p = (n -k)/2
Then the coefficient of x^k will be C(n, (n-k)/2), where C(n, x) = n!/(x!(n-x)!).
You will notice that there will only be a term x^k for k having the same parity as n.
Find the perimeter of the similar figure 48cm 60cm
Answer:
make me brainlist pls! 240 is permimeter
Step-by-step explanation:
what is 1\10 in semplis form
Answer:
1/10 is the simplest form of the fraction
four ninths minus four tenths
Answer:
2/45
Step-by-step explanation:
PLS GIVE BRAINLIEST
Answer:
2/45
Step-by-step explanation:
4/9 - 2/5
multiply 4 by 5 and 2 by 9
(20-18)/45
2/45
Branliest to right answer
Answer:
the second one
Step-by-step explanation: