Least Greatest
1, 2, 3, 3, 4, 7, 9
Median: 3
Physicists estimate that there are between 1078 and 1082 atoms in the universe. How do these two numbers compare with one another? If the larger number is right, how many universes with the smaller number of atoms would fit inside the larger universe?
Answer:
10,000 universes with the smaller number of atoms would fit inside the larger universe
Step-by-step explanation:
The correct question is as follows;
Physicists estimate that there are between 10^78 and 10^82 atoms in the universe. How do these two numbers compare with one another? If the larger number is right, how many universes with the smaller number of atoms would fit inside the larger universe?
Solution
To find the amount of the smaller number of atoms that will fit into the larger, we simply divide
Thus, we have;
10^82/10^78 = 10^4 = 10,000
Estimates are used to give the approximated value of a quantity.
10000 of the smaller universe will fit in the larger universe.
The number of atoms is:
[tex]\mathbf{n_1 = 10^{78}}[/tex]
[tex]\mathbf{n_2 = 10^{82}}[/tex]
(a) The larger universe
By comparison,
[tex]\mathbf{10^{82} > 10^{78}}[/tex]
This means that: the atoms in the second universe are larger than the number of atoms in the first.
(b) The number of small universe in the large universe
This is calculated by dividing the number of atoms in the large universe by the small universe
So, we have:
[tex]\mathbf{n = \frac{n_2}{n_1}}[/tex]
[tex]\mathbf{n = \frac{10^{82} }{ 10^{78}}}[/tex]
Apply law of logarithm
[tex]\mathbf{n = 10^{82 - 78} }[/tex]
[tex]\mathbf{n = 10^{4} }[/tex]
[tex]\mathbf{n = 10000 }[/tex]
Hence, 10000 of the smaller universe will fit in the larger universe.
Read more about estimates at:
https://brainly.com/question/17226219
Heather solved this problem:
75 is 300% of what number?
Part
0 75
300
What error did Heather make?
None. Her work is correct.
O She multiplied 75 and 4 incorrectly.
She should have divided 75 by 4, and divided 100
by 4.
O She used the part, 75, to write the percent ratio.
300
The part-to-whole percent ratio is 100
?
100
0
Whole
part
whole
75 x 4 300
100 x 4 400
Answer:
she used the part 75 long story short d
Step-by-step explanation:
Round 5.951 to the place value of the underlined digit ( underlined digit is 9)
6.0
6.9
5.95
5.9
Answer:
A.) 6.0
Step-by-step explanation:
I dont explain very well, but..
if the next number is above or it is 5, then u round up
Four times the sum of f and g is identical to six times g
Answer:
4(f+g)=6g
Step-by-step explanation:
4(f+g)=6g
Solve the following expression when a=5
4^2+5a-2a
Answer: 31 i think
Step-by-step explanation:
If QS bisects ZRQP, mZRQS =
2x + 10, and mZSQP = 3x - 18,
find mZRQS.
Answer:
66°
Step-by-step explanation:
[tex]\because \overrightarrow{QS} \: bisects\: \angle RQP\\\\
\therefore m\angle RQS = m\angle SQP\\\\
\therefore 2x + 10 = 3x - 18\\\\
\therefore 18 + 10 = 3x - 2x\\\\
\therefore 28 = x\\\\
\therefore x = 28\\\\
m\angle RQS = (2x + 10)\degree \\\\
m\angle RQS = (2\times 28+ 10)\degree \\\\
m\angle RQS = (56+ 10)\degree \\\\
\huge \purple {\boxed {m\angle RQS =66\degree}} \\\\
[/tex]
What is the answer for 8
Answer:
no they share the same y value for two different x values
If a roof has a pitch of 5 to 11, how high will the roof rise over a 33-foot run?
a.
3
C.
2
72 feet
1 feet
b. 15 feet
d.
20 feet
The answer is b. 15ft
Can anyone tell me if u pass the ela state exam but u didn't pass the math state exam can u still go to 9th grade cuz im in 8th please answer and my grades are always good so does it help? and my classwork etc is always around 80-100 is it good
I’ll mark brainliest tysm
-13 EX: 2(-4) - 5 = -8 -5 = -13
-7
-1
1
3
THESE ARE THE ANSWERS
Your test scores in one class are 80 and 86. What possible scores can you earn on your next test to have a test average between 83 and 88, inclusive?
Answer:
83
Step-by-step explanation:
80+86=166
166÷2=83
Melissa and Tomas are playing a game with complex numbers. If Melissa has a score of 5 – 4i and Tomas has a score of 3 + 2i, what is their total score?
Answer:
8 - 2i
Step-by-step explanation:
Just add the real parts together and then add the imaginary parts together
5 + 3 = 8
-4i + 2i = -2i
8 - 2i
Answer:
8-2i
Step-by-step explanation:
Find two positive decimals a and b that make
the following statement true. Then find two positive decimals a and b that
make the statement false.
Ifa < 1 and b < 1, then a + b < 1.
Help plzzzz
for making the statement true then find any decimal that when added won't give an answer greater than one.
eg, 0.5 + 0.2= 0.7 this makes the statement a+b<1 correct.
to make the statement false, add two decimals that'll gv answer greater fhan one.
eg, 0.8 + 0.3= 1.1, which makes the statement a+b<1 incorrect/ false
Suppose that a sample of n students at the same university (instead of n) determines that % of the sample use the web browser. At the level of significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of %?
Complete Question
The worldwide market share for a web browser was 20.5% in a recent month. Suppose that a sample of 200 random students at a certain university finds that 50 use the browser.
At the 0.05 level of significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of 20.5%?
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the market share for the web browser at the university is greater than the worldwide market share of 20.5 %?
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.205[/tex]
The sample size is n = 200
The number that uses the browser is k = 50
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{50}{200}[/tex]
=> [tex]\^ p = 0.250[/tex]
The null hypothesis is [tex]H_o : p = 0.205[/tex]
The alternative hypothesis is [tex]H_a : p > 0.205[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \^ p - p }{ \sqrt{ \frac{ p (1 - p )}{ n} } }[/tex]
=> [tex]z = \frac{ 0.250 - 0.205 }{ \sqrt{ \frac{ 0.205 (1 - 0.205 )}{ 200} } }[/tex]
=> [tex]z = 1.5764[/tex]
Generally the area under [tex]z = 1.5764[/tex] to the right is
[tex]p-value = P( Z > 1.5764 ) = 0.057467[/tex]
From the value we obtained we can see that the [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the market share for the web browser at the university is greater than the worldwide market share of 20.5 %?
Find the distance between (-13, -3.5) and (17, 2)
Distance = 30.5
I hope this helps.
Austin is paid a salary of $350 weekly. Find the Austin's earnings per year.
Answer:
$18234
Step-by-step explanation:
Naomi bought a dress on sale for $24. Naomi bought the dress for 60% of the original price. Which equation shows how to find the original cost of the dress?
A.
0.60x = 24
B.
0.40x = 24
C.
24x = 60
D.
60 – 24 = x
Answer:
A
Step-by-step explanation:
Choose the letter of the correct answer Write your answer on a separate
sheet
1. What do you call an expression in fraction form in which the numerator and
the denominator are polynomials?
A. rational algebraic equation
C. rational algebraic expression
B. linear algebraic expression
D. finear algebraic equation
2. In a rational algebraic expression written in the form of where P and Q are
polynomials, the polynomial Q must not be equal to
AO
C 2
B.
D. 3
3. Which of the following is a rational algebraic expression?
Answer:
1. Rational Algebraic Expression
2. 0
3. See explanation
Step-by-step explanation:
Solving (1):
From the list of given options, Option C. Rational Algebraic Expression answers the question.
And it is always of the form P/Q where P and Q are polynomials
Take for instance
P = x² - x + 2 and Q = x² + 2x - 4
P/Q = (x² - x + 2)/(x² + 2x - 4)
The above expression is a perfect example of a Rational Algebraic Expression
Solving (2): The denominator of a rational algebraic expression must not equal 0
Hence, option A answers the question
Solving (3): The options are missing.
However, a perfect example has been sighted on (1) above
please help me solve this equation i need step by step explaining 3x + 2= x+4(x+2)
Suppose that X is a random variable with mean 20 and standard deviation 5. Also suppose that Y is a random variable with mean 40 and standard deviation 10. Assume that the correlation between X and Y is 0.5. Find the mean and variance of the random variable Z = ????3X ???? 2Y . Be sure to show all your work.
Answer:
a
[tex]E(Z) = 202 [/tex]
b
[tex]E(Z) = 198[/tex]
c
[tex]E(Z) = -140 [/tex]
Step-by-step explanation:
From the question we are told that
The mean of X is [tex] E(X) = 20[/tex]
The standard deviation of X is [tex]s_1 = 5[/tex]
The mean of Y is [tex]\= y = 40[/tex]
The standard deviation of Y is [tex]s_2 = 10[/tex]
Considering question a
Generally the mean of Z = 2 + 10X. is mathematically represented
[tex]E(Z) = E[2 + 10X ][/tex]
=> [tex]E(Z) = 2 + 10 E(X)[/tex]
=> [tex]E(Z) = 2 + 10 * 20 [/tex]
=> [tex]E(Z) = 202 [/tex]
Considering question b
Generally the mean of Z = 10X - 2.. is mathematically represented
[tex]E(Z) = E[10X -2 ][/tex]
=> [tex]E(Z) = 10E(X) - 2[/tex]
=> [tex]E(Z) = 10* 20 - 2[/tex]
=> [tex]E(Z) = 200 - 2[/tex]
=> [tex]E(Z) = 198[/tex]
Considering question c
Generally the mean of -3X - 2Y is mathematically represented
[tex]E(Z) = E[-3X -2Y ][/tex]
[tex]E(Z) = -3 E(X) -2E(Y) [/tex]
=> [tex]E(Z) = -3 * 20 -2* 40 [/tex]
=> [tex]E(Z) = -140 [/tex]
i’ll mark brainlest to whoever answers first :D
Answer:
10
The slope is 10 cuz rise/run rise is 10 run is 1. so 10÷1=10
Answer:
The answer is 7.2
Flight Path of a Bird
In this activity, you'll use quadratic equations to model situations and interpret the solutions to the equation
The flight path of a bird can be represented by this equation, where x represents the horizontal distance, in feet, from a tree
branch and y represents the height, in feet, relative to the ground.
y = 2x2 - 8x + 10
Part A
Question
Rewrite the equation modeling the path of the bird in vertex form by completing the square,
Substitute the values of a, h, and k to complete the equation.
Answer:
The equation modeling the path of the bird in vertex form is [tex]y=2(x-2)^2+2[/tex]
Step-by-step explanation:
General vertex form equation: [tex]f(x) = a(x-h)^2 + k[/tex]
where (h,k) is the vertex
The flight path of a bird can be represented by this equation: [tex]y = 2x^2 - 8x + 10[/tex]
To convert the equation in vertex form
Completing the square :
[tex]y = 2(x^2 - 4x + 5)\\y = 2(x^2 - 4x + 5 +(2)^2-(2)^2)\\y = 2(x^2 - 4x + 5 +(2)^2-4)\\y = 2((x-2)^2-4+5)\\y = 2((x-2)^2+1)\\y=2(x-2)^2+2[/tex]
Where:
(h,k)=(2,2)
a=2
Hence the equation modeling the path of the bird in vertex form is [tex]y=2(x-2)^2+2[/tex]
Divide. −24/7 Enter your answer as a mixed number, in simplified form, in the box.
Answer:
-3 3/7
Step-by-step explanation:
When you divide, you get this answer. You then later add the negative sign.
Find the GCF for the following list
32, 140
Answer:
the gcf of 32 and 140 is 4
i hope this helps :)
NOT TRYING TO RUSH YOU OR ANYTHING BUT CAN YOU PLEASE HURRY UP AND HELP ME!!
Answer: A.
Step-by-step explanation:
mary is twice as old as ayana.ayana is five years younger than jaime.jaime is 12 years old. how old is mary?
Answer:
14
Step-by-step explanation
We should work backwards here. Jamie is 12, and ayana is five years younger than jamie. This means that ayana is 7 years old. Mary is twice as old as the 7 year old ayana, which means that Mary is 14 years old.
Answer:
Mary is 14
Step-by-step explanation:
if jaime is 12 and ayana is 5 years younger then that equals to 7. and 7x2=14
2.549 miles can be rounded to 3 miles and 2.5 miles.Explain how its true.
Answer:
If you round 2.549 miles to 3, you are rounding it to the nearest ones place(whole number). 2.549 rounded to the nearest tenth, however, is 2.5 because 2.549 is being rounded to the tenth decimal place.
Step-by-step explanation:
Answer:
You can either round it up to the tenths place or you can use the tenths place to round the 2 up to 3.
The veterinarian
has seen 47 dogs, 19 cats, 7 exotic birds, and
3 horses this week. Complete the bar diagram
and find the total number of animals seen by
the veterinarian this week.
Answer:
76 animals
Step-by-step explanation:
47+19+7+3= 76 animals.
During one particular sales day, 75% of the store's customers paid with credit cards. If there were 60 customers that day, how many used a credit card?
Answer:
45 customers
Step-by-step explanation:
Total customers= 60 customers
100% = 60
75% = 75/100 × 60
=45 costumers
Answer:
It is 45 customers
Evaluate the function for the indicated values of x.
[Look at image]
Answer:
f(-10) = -19
f(2) = 4
f(-5) = -9
f(-1) = 1
f(8) = -5
Step-by-step explanation:
