Pluto has been hard to measure from Earth because of its atmosphere. In 2007 Young, Young, and Buie measured Pluto as having a diameter of 2322 km. In 2017 new measurements were taken and Pluto is now believed to be 2376.6 km in diameter. Since the older measurement is now considered incorrect, what was the percent error of the 2007 measurement? [enter your answer as a percentage without the % sign] Round to two decimals.
Answer:
The percent error of the 2007 measurement is 2.30
Step-by-step explanation:
To determine the percent error of the 2007 measurement,
Percent error is given by
Percent error = [tex]\frac{|True value - Observed value| }{True value} \times 100%[/tex]%
Observed measurement in 2007 = 2322 km
True value (observed in 2017) = 2376.6 km
∴ Percent error = [tex]\frac{|2376.6 - 2322| }{2376.6} \times 100%[/tex]%
Percent error = [tex]\frac{54.6 }{2376.6} \times 100%[/tex]%
Percent error = 0.022974 × 100%
Percent error = 2.2974%
Percent error ≅ 2.30%
Since the answer is required to be entered without the % sign, then
Percent error = 2.30
Hence, the percent error of the 2007 measurement is 2.30.
Three hundred seventeen kids went on a field trip last
Tuesday. There were supposed to be six full buses, but
seven kids were sick that day. How many kids fit on
each bus?
Write an equation
Answer:
(317-7)/6≈52
Step-by-step explanation:
There was approximately 52 kids in each bus
Total number of kids = 317
Total number of buses = 6
Number of kids sick = 7
Therefore, the number of kids on each bus will be:
= (317 - 7) / 6
= 310/6
= 51 2/3
= 52 kids approximately
In conclusion, there was approximately 52 kids in each bus.
Read related link on:
https://brainly.com/question/20167606
-5X +1 92 - 321+13 - 12X
Plz I need help
Answer:
x= 116/17
Step-by-step explanation:
5x+192−321+13=−12x
Step 1: Simplify both sides of the equation.
5x+192−321+13=−12x
5x+192+−321+13=−12x
(5x)+(192+−321+13)=−12x(Combine Like Terms)
5x+−116=−12x
5x−116=−12x
Step 2: Add 12x to both sides.
5x−116+12x=−12x+12x
17x−116=0
Step 3: Add 116 to both sides.
17x−116+116=0+116
17x=116
Step 4: Divide both sides by 17.
17x/17=116/17
x = 116/17
50 POINTS ASAP BRAINLIEST
State how many imaginary and real zeros the function has.
f(x) = x^3 + 5x^2 + x + 5
0 imaginary; 3 real
1 imaginary; 2 real
3 imaginary; 0 real
2 imaginary; 1 real
Answer:
1 real root 2 imaginary roots
Step-by-step explanation:
f(x) = x^3 + 5x^2 + x + 5
Set equal to zero to find the zeros
0 = x^3 + 5x^2 + x + 5
Factor by grouping
0 = x^2( x+5) + 1( x+5)
0 = (x+5) ( x^2+1)
Using the zero product property
x+5 =0 x^2+1 =0
x=-5 x^2 = -1
x=-5 x = ±i
1 real root 2 imaginary roots
Answer:
1 real root 2 imaginary roots
Step-by-step explanation:
f(x) = x^3 + 5x^2 + x + 5
Set equal to zero to find the zeros
0 = x^3 + 5x^2 + x + 5
Factor by grouping
0 = x^2( x+5) + 1( x+5)
0 = (x+5) ( x^2+1)
Using the zero product property
x+5 =0 x^2+1 =0
x=-5 x^2 = -1
x=-5 x = ±i
1 real root 2 imaginary roots
Make a proportion for the following word problem and answer the question.A zippster car can travel 342 miles every 3 hours. How far can Michelle’s zippster car travel in 14 hours?FOR 25 POINTS
Answer:
1596 miles
Step-by-step explanation:
A suitable proportion can be ...
[tex]\dfrac{\text{miles}}{\text{hours}}=\dfrac{M}{14\text{ h}}=\dfrac{342\text{ mi}}{3\text{ h}}\\\\M=\dfrac{14\cdot 342}{3}\text{ mi}=1596\text{ mi}[/tex]
We solved it by multiplying both sides by 14 hours. The units of hours cancel, leaving units of miles.
Michelle's car can travel 1596 miles in 14 hours.
Convert the following into scientific notation:
70.2 = _____ x 10 ____
Answer:
7.02 x 10^1
Step-by-step explanation:
Answer:
7.02 * 10^1
Step-by-step explanation:
You would like to have $20,000 to use a down payment for a home in five years by making regular, end-of-month deposits in an annuity that pays 6% interest compounded monthly. How much of the $20,000 down payment comes from interest earned? Round your answer to the nearest cent. Do NOT round until you have calculated the final answer. Do NOT include the dollar sign in the answer box below.
Using compound interest, it is found that $5,172.56 comes from interest earned
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
$20,000 is required in five years, hence t = 5, A(5) = 20000.Interest rate of 6%, hence r = 0.06.Monthly compounding, hence n = 12.First, we have to find the principal needed, hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]20000 = P\left(1 + \frac{0.06}{12}\right)^{12(5)}[/tex]
[tex]P = \frac{20000}{(1.005)^{60}}[/tex]
[tex]P = 14827.44[/tex]
Hence:
$14,827.44 comes from the principal.$5,172.56 comes from interest earned, as $20,000 - $14,827.44 = $5,172.56.To learn more about compound interest, you can take a look at https://brainly.com/question/25781328
Answer:
Step-by-step explanation:
Samuel needs 346 feet of wood to build a fence. The wood comes in lengths of 15 feet.
How many total pieces of wood will Samuel need? Theresa needs twice as many feet of wood as Samuel.
How many pieces of wood does Theresa need?
Samuel needs
pieces of wood. Theresa needs
pieces of wood.
Length of wood Samuel needs to build a fence = 346 feet
Length of each piece of wood = 15 feet
Number of wood pieces he will have with him :-
[tex] = \frac{346}{15} [/tex]
Samuel will need 23 pieces of wood .
Length of wood Theresa needs to build a fence :-
= 346 × 2
= 692 feet wood
Number of wood pieces Theresa will need :-
[tex] =\frac{692}{15} [/tex]
[tex] = 42 \: pieces \: of \: wood[/tex]
Therefore , Samuel needs 23 pieces of wood and Theresa needs 42 pieces of wood .
Which expressions have a quotient of 4/5
a. 5/2 ÷ 1/2
b.6/9 ÷ 5/6
c. 3/6 ÷ 2/5
d.7 1/2 ÷ 6
e.1 1/3 ÷ 1 2/3
Answer:
b and eStep-by-step explanation:
a. 5/2 ÷ 1/2 =
5/2*2 =5b. 6/9 ÷ 5/6
2/3*6/5 =2*2/5 = 4/5c. 3/6 ÷ 2/5
1/2 * 5/2 =5/4d. 7 1/2 ÷ 6 =
15/2*1/6 =5/(2*3) =5/6e. 1 1/3 ÷ 1 2/3=
4/3 ÷ 5/3 =4/3 * 3/5 =4/5Answer:
Trick answer none of them do.
Step-by-step explanation:
Use the diagram to complete the statements.
Segment AD must be congruent to segment
Segment BC must be congruent to segment
Answer:
dc , ab
Step-by-step explanation:
on edge 2020
Answer:
Segment AD must be congruent to segment
✔ DC
.
Segment BC must be congruent to segment
✔ AB
.Step-by-step explanation:
correct on edge nov 2020
NEED HELP ASAP PLEASE!
Solve the following system of equations using the elimination method.
7x + 20y = 14
2x – 10y = 4
Question 18 options:
A)
(3,1)
B)
(2,0)
C)
(4,–5)
D)
(–3,4)
Answer:
Answer is b
x=2 y=0_________
what is 2x3 - 5x2 - 4x - 25
divided by X - 4
Answer:
2x² + 3x + 8 + 7/x-4
Step-by-step explanation:
For this problem, we can use synthetic division.
4 | 2 -5 -4 -25
| 8 12 32
|_________
2 3 8 7/x-4
This means the quotient is 2x² + 3x + 8 + 7/x-4.
In kidney transplantations, compatibility between donor and receiver depends on such factors as blood type and antigens. Suppose that for a randomly selected donor from a large national kidney registry, there is a 10% chance that he or she is compatible with a specific receiver. A sample of size 5 donors are randomly selected from this registry. Find the probability that exactly 2 of the selected donors is compatible.
Answer:
The probability is [tex]P(X = 2)= 0.0729[/tex]
Step-by-step explanation:
From the question we are told that
The percentage that the donor is compactible is p = 0.10
The sample size is n = 5
Generally the probability that the donor is not compactible is
[tex]q = 1- p[/tex]
=> [tex]q = 1- 0.10 [/tex]
=> [tex]q = 0.90 [/tex]
Generally the probability that the exactly 2 of the selected donors is compatible mathematically represented as
[tex]P(X = 2)= \ ^{5}C_2 * p^2 * q^{5-2}[/tex]
Here C standards for combination
=> [tex]P(X = 2)= \ 10 * 0.10^2 * 0.90 ^{5-2}[/tex]
=> [tex]P(X = 2)= 0.0729[/tex]
HELP.!!!!
The area of a rectangular yard is given by the trinomial 2x^2 + x - 36. What are the possible dimensions of the yard?
A
(2x + 9) and (x-4)
B
(-2x + 9) and (-x + 4)
С
(2x - 2) and (x-4)
D
(2x - 4) and (x + 4)
Answer:
A . (2x + 9) and (x-4)
Explanation:
Given parameters:
Given trinomial;
2x² + x - 36
Possible dimensions of the yard = ?
Solution:
To solve this apply the quadratic factorization;
2x² + x - 36 = 0
2x² -8x + 9x - 36 = 0
2x(x - 4) + 9(x -4) = 0
(2x + 9) (x -4) = 0
The possible dimensions of the rectangular yard is (2x + 9) and (x -4)
Neptune is about 2,700,000,000 miles from earth mercury is about 135,000,000 miles from earth determine how many times farther it is from earth to Neptune
Answer:
2 or 2 x 10⁰
Step-by-step explanation:
Answer:
20 times further
Step-by-step explanation:
Neptune is about 2,700,000,000 miles from Earth.
Mercury is about 135,000,000 miles from Earth.
Write in scientific notation to help solve. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. The power is the number of decimal places you move.
2,700,000,000 = 2.7 x [tex]10^{9}[/tex]
135,000,000 = 1.35 x [tex]10^{8}[/tex]
2)
[tex]\frac{Neptune}{Mercury} = \frac{2.7 * 10^{9} }{1.35*10^{8} }[/tex]
You can see there is only one extra 0 on top, the rest will cancel so you're left with:
[tex]\frac{27}{1.35} = 20[/tex]
It's 20x farther to Neptune from Earth, than it is to Mercury from Earth.
WHICH PROPERTY JUSTIFIES STEP 2 PLS HELP !!!! ILL MARK BRAINLIST
Answer:
Distributive property.
Step-by-step explanation:
To go from 3(6x + 2) - 4x to 18x + 6 - 4x, you would need to use the distributive property.
In 2010, the average finishing time for marathons across the US was approximately 278 minutes, with a standard deviation of approximately 63 minutes. What finishing time defines the fastest 7.93% of runners?
Answer:
336 minutes
Step-by-step explanation:
Mean finishing time: 278 minutes
Standard Deviation: 63 minutes
Confidence interval: [278 - 63] , [278 + 63] = [215 , 341] minutes
What finishing time defines the fastest 7.93% of runners?
This means the 7.93% of time closest to the upper limit of 341 minutes
341 - 215 ≡ 63 × 2 = 126
7.93% of 126 = 0.0793 × 126 = 9.9918
341 - 9.9918 = 331.0082
Hence the finishing time that defines the fastest 7.93% of runners has an interval of [331 , 341] minutes with a mean or average of 336.0041 ≅ 336 minutes
I need help please i will give brainliest
Answer:
5 packages
Step-by-step explanation:
each would have five if they made 5 sandwhiches
Answer:
5
Step-by-step explanation:
Divide each number until the remainder is one
Multiply the numbers used to divide which is 2 6 and 5 to get the LCM which is 60
Edit:
60 eggs /12 =5
60 muffins/10 =5
please help me solve for the letter !!!!!!!!!!!!!!
Answer:
it may be 34 because the 34 to the second power is 68
Answer:
d = 2[tex]\sqrt{7}[/tex]
Step-by-step explanation:
You want to solve for d by itself, so you must take the square root of both sides.
d = [tex]\sqrt{68}[/tex]
This can be simplified, since this square root has a perfect square inside. You take out the perfect square (which is 4) and end up with 2[tex]\sqrt{7}[/tex]
What is the value of n?
Answer:
A. 95°Step-by-step explanation:
see attached
Experiment: Select a student from COIT
A: Student is female
B: Student is male
C: Student is an IS student
Find the value of P(A) + P(B)?
Please answer this for me!!:)))) it’s due rn!!!! least to greatest question 7th grade
Answer:
1st 2nd 3rd
Step-by-step explanation:
Answer:
C, B, A
Step-by-step explanation:
Cs answer will be negative making it automatically the least
B when multiplied will equal 6/25. when you divide that you get 0.24
A you just multiply the 2 together to get 7.68
Resplendent quetzal (Pharomachrus mocinno) is a beautiful bird species that lives in the tropical forests of Central America. Assuming that you started a breeding program and you would like to breed resplendent quetzal to produce longer tails. You measured 50 resplendent quetzals and obtained a mean tail length of 85.4 cm. You selected 10 resplendent quetzals with longest tails as breeders. The mean tail length of the breeders is 91.2 cm. After mating, offspring of the resplendent quetzal breeders have a mean tail length of 87.7 cm. What is the heritability of tail length in this resplendent quetzal population
Answer:
The value is [tex]H =0.3966[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 50
The mean tail is [tex]\= x = 85.4 \cm[/tex]
The number of resplendent quetzals selected as breeders is [tex]k = 10[/tex]
The mean tail breeders is [tex]\= x_1 = 91.2 \ cm[/tex]
The mean tail of the breeders after mating [tex]\= x_2 = 87.7 \ cm[/tex]
Generally the selection differential is mathematically represented as
[tex]D = \= x_1 - \= x [/tex]
=> [tex]D = 91.2- 85.4 [/tex]
=> [tex]D = 5.8 \ cm [/tex]
Generally the selection response is mathematically represented as
[tex]S = \= x_2 - \= x[/tex]
=> [tex]S = 87.7 - 85.4[/tex]
=> [tex]S =2.3 \ cm [/tex]
Generally the heritability of tail length in this resplendent quetzal population is mathematically represented as
[tex]H = h^2 = \frac{S}{D} [/tex]
=> [tex]H = h^2 = \frac{2.3}{5.8} [/tex]
=> [tex]H = h^2 = \frac{2.3}{5.8} [/tex]
=> [tex]H = h^2 = 0.3966/tex]
1.5x2/3 planhlefjdjsbshshsbsbdbshsbsbsbsbshshshshsh
Answer:
1
Step-by-step explanation:
DO DA MATH
Find the 12th term of this arithmetic sequence: 16, 18, 20, 22, ...
Answer:
38
Step-by-step explanation:
the pattern adds 2 to every next number.
16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38 <
Which is the smallest number 0.9, 0.899 , 0.0999, 0.909, 0.09 , 0.9009
Answer:
0.0999 hope it will help you
Juan's grandmother left him 40 shares of Stock A and 150 shares of Stock B. How
much will he get if stock A sells for $225 a share and stock B sells for $27.25 a share?
Answer:
$13,087.50
Step-by-step explanation:
The sale of the 40 shares of stock A at $225 per share will get Juan ...
40 · $225 = $9000
The sale of the 150 shares of stock B at $27.25 per share will get Juan ...
150 · $27.25 = $4087.50
So, the total Juan will receive from the sale of the stocks will be ...
$9000.00 +4087.50 = $13,087.50
A rental car agency charges a flat fee of $32.00 plus $3.00 per day to rent a certain car. Another agency charges a fee of $30.50 plus $3.25 per day to rent the same car.
Answer:
a rental car agency charges a flat rate fee of $32.00 plus $3.00 per day to rent a certain car
c = 32 + 3d
another agency charges a fee of $30.50 plus $3.25 per day to rent the same car
c = 30.50 + 3.25d
the number of days for which the cost are the same means
32 + 3d = 30.50 + 3.25d
by solving we find d = 6 days
I will give you branilest!
To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of information. An equation relating packets of information is given by b = 1500p where p represents the number of packets and b represents the number of bytes of information.
c. Each byte contains 8 bits of information. Write an equation to represent the relationship between the number of packets p and the number of bits s.
s =
8 • 6 + ( 12 - 4 ) divided 2
Answer:
28
Hope this helps
