Answer:
f(x)=x3 + 5x2 + 1
Step-by-step explanation:
If ABCD is a parallelogram, m
A
B
(3x + 4)º
D
xº
C
Equation:
X=
(PLEASE HELP)
Answer:
x is 44 because
3x+4+x=180
4x=180-4
4x=176
x=44
A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours. The subsystem will operate if any two of the four components are operating. Assume that the components act independently.a) Find the probability that exactly two of the four components last longer than 1000 hours.b) Find the probability that the subsystem operates longer than 1000 hours.
Answer:
a) 0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.
b) 0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.
Step-by-step explanation:
For each component, there are only two possible outcomes. Either they fail in less than 1000 hours, or they do not. The probability of a component failing in less than 1000 hours is independent of any other component. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours.
Four components means that [tex]n = 4[/tex]
Probability of 0.2 of failling means that 1 - 0.2 = 0.8 probability of not failling, so [tex]p = 0.8[/tex]
a) Find the probability that exactly two of the four components last longer than 1000 hours.
This is [tex]P(X = 2)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]
0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.
b) Find the probability that the subsystem operates longer than 1000 hours.
It will operate if at least two compoents last longer than 1000 hours. So
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]
[tex]P(X = 3) = C_{4,3}.(0.8)^{3}.(0.2)^{1} = 0.4096[/tex]
[tex]P(X = 4) = C_{4,4}.(0.8)^{4}.(0.2)^{0} = 0.4096[/tex]
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.1536 + 0.4096 + 0.4096 = 0.9728[/tex]
0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.
Is 5/7 greater than or less than 2/8
Answer:
greater than lol
Step-by-step explanation:
Answer:
5/7 is grater than 2/8
Step-by-step explanation:
5/7 = 0.714
2/8 = 0.25
therefore 5/7 is grater than 2/8
mr. walter is remodeling his house and wants to design a rectangular garden in the backyard. the width of the garden, W(A), in feet, is modeled by this equation, where A is the area of the garden, in square feet. (equation shown in image)
What is the rate of change of the garden’s width when the garden’s are changes from 289 square feet to 400 square feet?
Answer:
Step-by-step explanation:
It’s d sir
Answer:
correct option is D
Step-by-step explanation:
Angela plans to buy new flooring for her bedroom. Her bedroom floor is a rectangle that is 7.9 meters by 6.2 meters. a. How many square meters of floor space does her bedroom have? meters squared b. Suppose the flooring costs $5.90 per square meter. How much will the flooring cost? (use a dollar sign and NO SPACES)
part A is 48.98 meters squared. part B is $288.982.
Step-by-step explanation:
To find the area of the flooring you multiply 7.9 and 6.2 which gives you 48.98 meters squared. Then for part B you take your product from part A and multiply it by $5.90, giving you $288.982.
I hope this helps
the lowest point of the dry lake bed in the example has an elevation of -18 3/4 ft what number represents the change in elevation from the start of the path to the lowest point in the dry lake bed show your work (my teacher said she messed it up so it’s the same question just the numbers are -18 3/4 - (-12 1/2) explain how !
Answer:
the lowest point of the dry lake bed in the example has an elevation of -18 3/4 ft what number represents the change in elevation from the start of the path to the lowest point in the dry lake bed show your work (my teacher said she messed it up so it’s the same question just the numbers are -18 3/4 - (-12 1/2) explain how !
Math!!!! Fined the area of the triangle
Answer:
Area = 40 cm²
Step-by-step explanation:
Area of triangle is derived by the formula,
Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
Length of Base = 8 cm
Height of the triangle = 10 cm
Therefore, area of the given triangle = [tex]\frac{1}{2}(8)(10)[/tex]
= 40 cm²
Will give brainliest if you awnser all math questions
1. Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Which savings account is growing fastest?
They are growing at the same rate.
simple interest
compounded quarterly
2.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Use the graph shown to estimate the amount in Account A in 30 years.
$340
$350
$370
$400
3.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Use the graph shown to estimate the amount in Account B in 30 years.
$400
$410
$420
$450
4.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
What is the approximate difference between the two accounts in 20 years?
$100
$50
$25
$10
5.Growth curve A represents $200 saved at 2.5 percent simple interest. Growth curve B represents $200 saved at 2.5 percent interest, compounded quarterly.
Why is the amount much higher in the compounded interest account?
The account started with more money.
The account is in a better bank.
The interest rate is higher.
The account pays interest on both the principal and the interest accumulated.
Answer: Compounded quarterly, 350, 420, 25, the account pays interest on both the principal and the interest accumulated.
Step-by-step explanation:
Question 1: Compounded quarterly is growing fastest because it's broken down more than what simple interest does and therefore is faster instead.
Question 2: Account A in 30 years would be 350, I did this problem and eyeballed it. Trust me.
Question 3: Account B in 30 years would be 420.
Question 4: The approximate difference between the two accounts in 20 years would be 25.
Question 5: If the rate of interest is annual and the interest is compounded quarterly then the number of years is 4 times and the rate of annual interest is one-fourth. Therefore, the account pays interest on both the principal and the interest accumulated.
Hope this helps
The simple interest and compound interest are solved for both the curves
a) The compound interest is growing fastest
b) the amount in Account A in 30 years A = $ 350
c) The amount in Account B in 30 years is B = $ 420
d) The difference between the two accounts in 20 years = $ 25
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
a)
Let the 2 curves be represented as A and B
Now , the amount invested by A = $ 200
The rate of simple interest = 2.5 %
And , the amount invested by B = $ 200
The rate of compound interest = 2.5 %
So , we can say that since it is more thoroughly broken down than basic interest is, compounded quarterly growth is the quickest.
b)
The amount for A in 30 years is given in the graph
A = $ 350
c)
The amount for B in 30 years is given in the graph
B = $ 420
d)
The amount for A in 20 years is given in the graph = $ 300
The amount for B in 20 years is given in the graph = $ 325
The difference between the two accounts in 20 years = $ 325 - $ 300
The difference between the two accounts in 20 years = $ 25
Hence , the compound interest is solved
To learn more about compound interest click :
https://brainly.com/question/21270833
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help!!!!! will give big brain
marcia is typing her report for history class. She can type 4 pages in 45 minutes. At that rate, how many pages does she type per hour? Round to the nearest hundredth.
Answer:
5.34 pages/h
Step-by-step explanation:
4/45 = p/60
p ≈ 5.34
Answer:
Step-by-step explanation:
3/4 of an hour is the same as 0.75
Write a proportion.
4 (pages)/0.75 (hours)=p(pages)/1 hour
Cross multiply and divide
(4x1)÷0.75=5.33 (rounded to the nearest hundred)
p=5.33
Marcia can type 5.33 pages per hour.
what would the answer to this be?
Answer:
B because for ASA to work the side has to be surrounded with the angles and <ACD = <CAB has to be true and for
SAS to work the angle has to be surrounded by sides so
AD = BC has to be true.
Hope this helped and brainliest please
solve the equation 12n-60
Answer:
n-5
Step-by-step explanation:
Bella invested $7,400 in an account paying an interest rate of 5 3/8 % compounded continuously. Lily invested $7,400 in an account paying an interest rate of 5 3/4% compounded quarterly. After 17 years, how much more money would Lily have in her account than Bella, to the nearest dollar?
Answer:
$1078
Step-by-step explanation:
The radius of a circle is 7 m. Find its circumference in terms of pi.
Answer:
Step-by-step explanation:
Circumference is 2pir
So 14pi meters
BRAINLIEST! Please! Please! Please! I need help understanding how to figure it out!!!
Thanks
Given :
Volume of pyramid = 2,433,400 cubic meters
Height of pyramid = 138 meters
To find:
S = [tex]\sqrt{\frac{3v}{h} }[/tex]
Steps:
S = [tex]\sqrt{\frac{3v}{h} }[/tex]
S = [tex]\sqrt{\frac{3 * 2,433,400}{138} }[/tex]
S = [tex]\sqrt{\frac{2,433,400}{46} }[/tex] (dividing 138 by 3 gives 46)
S = [tex]\sqrt{\frac{1,216,700}{23} }[/tex] (dividing numerator and denominator by 2)
S = [tex]\sqrt{52900}[/tex]
S = 230 square meter
The equation is equal to 230 square meters
Happy to help :)
If you didn't understand any topic pls ask
The ratio of the girls to boys in the school
marching band is 10 to 8. If there are 32 boys in
the marching band, how many of the students in
the marching band are girls?
A 38
B, 40
C. 26
D, 42
Eli buys milk and lemons at the store.
He pays a total of $50.59.
He pays a total of $6.35 for the milk.
He buys 7 bags of lemons that each cost the same amount.
How much does each bag of lemons cost?
Answer:
$6.32
Step-by-step explanation:
m + L = total $
6.35 + 7L = 50.59
7L = 44.24
L = 6.32
Lauren is going to invest $740 and leave it in an account for 9 years. Assuming the
interest is compounded monthly, what interest rate, to the nearest tenth of a percent,
would be required in order for Lauren to end up with $920?
Answer:
2.4
Step-by-step explanation:
Please anyone help me on this
Answer:
expand (f-g)(-6)
Expand by distributing terms.
-6f-6\times -g
−6f−6×−g
Regroup terms.
-6f-(-6g)
−6f−(−6g)
Remove parentheses.
-6f+6g
−6f+6g
Step-by-step explanation:
Find x
X + 50
X + 10
Answer:
x = 60
Step-by-step explanation:
(x + 50)° + (x + 10)° = 180° (interior angles on the same side of transversal)
(2x + 60)° = 180°
2x + 60 = 180
2x = 180 - 60
2x = 120
x = 120/2
x = 60
What is the total cost of a video game that is $59.99 with a sales tax of 7%?
Answer:
Your total will be $64.19
Step-by-step explanation:
I know this because 7% is $4.20 and so if i add $59.99 to $4.40 i will get $64.19:)
Mr. Herron drives for .9 hours (54 minutes) to reach El Rancho every day for work. If his average speed was 25 miles/hour, how far does Mr. Herron live from El Rancho?
will give brianlist
Jennifer has a hair ribbon that is 12 centimeters long. What is the length of the ribbon in millimeters? Use the number of zeros of the product when multiplying a number by a power of 10 to help you.
120 millimeters
12 millimeters
1,200 millimeters
1.2 millimeters
Espanos
Estimate a 10% tip on a bill of $132.17 by first rounding the bill amount to the nearest ten dollars.
Answer:
Tip= $13
Step-by-step explanation:
Giving the following information:
Tip rate= 10% = 0.1
Bill= $132.17
First, we need to round the bill by the nearest ten dollars. In this case, we round to the lower tenth:
Bill= 132.17 = 130
Now, we can determine the tip:
Tip= bill*tip rate
Tip= 130*0.1
Tip= $13
Mateo says each of the fractions below would be to the right of 1 on a number line . True or false 3/2 , 2/5, 5/3, 1/4 .
How do you solve this? Or what’s the answer?
Answer:
6.7
Step-by-step explanation:
Make a proportion (similar triangles):
(15) / (10+x) = 6/x
15x = 60 + 6x
9x = 60
x = 6.7
Brad has 24 strands of blue holiday lights and 32 strands of white holiday lights. He wants to make displays of lights for customer's yards. Each display must have the same number of strands in it. Without mixing colors, what is the greatest number of strands of lights that Brad can put in each display?
Answer:
He could make 8 strands of 3 blue strands and 4 white strands lights
cual es la antiderivada de f (x)=3x-4?
What are the vertices of AA'B'C'if AABC is dilated by a scale factor of 1/3
Answer:
B
Step-by-step explanation:
what fraction has the same value as 8/24
Answer:
8/24 = 1/3
Step-by-step explanation:
divide numerator and denominator by 8