Answer:
0.02
Step-by-step explanation:
The volume of the earth's oceans is approximately 1.34\cdot 10^{9}1.34⋅10
9
1, point, 34, dot, 10, start superscript, 9, end superscript cubic kilometers (\text{km}^3)(km
3
)left parenthesis, start text, k, m, end text, cubed, right parenthesis, and ocean water has a mass of about 1.03 \cdot 10^{12}\,\dfrac{\text{kg}}{\text{km}^3}1.03⋅10
12
km
3
kg
1, point, 03, dot, 10, start superscript, 12, end superscript, start fraction, start text, k, g, end text, divided by, start text, k, m, end text, cubed, end fraction .
To simplify, we will use the product of powers property of exponents that says that x^a\cdot x^b = x^{a+b}x
a
⋅x
b
=x
a+b
x, start superscript, a, end superscript, dot, x, start superscript, b, end superscript, equals, x, start superscript, a, plus, b, end superscript.
\qquad 1.34\cdot 10^{9}\,\cancel{\text{km}^3} \cdot 1.03 \cdot 10^{12}\,\dfrac{\text{kg}}{\cancel{\text{km}^3}} = 1.3802 \cdot 10^{21}\,\text{kg}1.34⋅10
9
km
3
⋅1.03⋅10
12
km
3
kg
=1.3802⋅10
21
kg1, point, 34, dot, 10, start superscript, 9, end superscript, start cancel, start text, k, m, end text, cubed, end cancel, dot, 1, point, 03, dot, 10, start superscript, 12, end superscript, start fraction, start text, k, g, end text, divided by, start cancel, start text, k, m, end text, cubed, end cancel, end fraction, equals, 1, point, 3802, dot, 10, start superscript, 21, end superscript, start text, k, g, end text
Hint #2
Next we want to know what portion of the earth's mass this represents. We have:
\qquad \begin{aligned} \dfrac{\text{mass of the oceans}}{\text{total mass of the earth}} &= \dfrac{1.3802 \cdot 10^{21}\,\text{kg}}{6\cdot 10^{24}\,\text{kg}} \\\\ &= \dfrac{1.3802}{6\cdot 10^{3}} \\\\ &= \dfrac{1.3802}{6000} \\\\ &= 0.0002300\overline{3} \end{aligned}
total mass of the earth
mass of the oceans
=
6⋅10
24
kg
1.3802⋅10
21
kg
=
6⋅10
3
1.3802
=
6000
1.3802
=0.0002300
3
To convert this to a percent, we multiply by 100100100, so the oceans represent 0.02300\overline{3}\%0.02300
3
%0, point, 02300, start overline, 3, end overline, percent of the earth's total mass, according to these figures.
Hint #3
To the nearest hundredth of a percent, 0.020.020, point, 02 percent of the earth's mass is from oceans.
Given the fractions 8/15 and 18/35, find the largest number that these fractions can be divided by, so that the quotient will be a whole number.
Answer:
Therefore the largest number that these fractions can be divided by to give them a whole number is
a) 8/15 = The largest number is 8/15
b) 18/35 = The largest number is 18/35
Step-by-step explanation:
A quotient is the result obtained by dividing two numbers.
So that the quotient obtained is a whole number we have to find out, what number they can be divided by to give them that.
Let's assume the whole number is 1
a. 8/15
8/15 ÷ x = 1
8/15 × 1/x = 1
8/15x = 1
We would cross multiply
8 = 15x
We would divide both sides by 15
8/ 15 = x
Hence the largest number that would divide 8/15 and give it a whole number = 8/15
b) 18/35
18/35÷ x = 1
18/35 × 1/x = 1
18/35x = 1
We would cross multiply
18 = 35x
We would divide both sides by 35
18/ 315 = x
Hence the largest number that would divide 18/35 and give it a whole number = 18/35
Answer:
The answer is 2/105
Step-by-step explanation:
first we have to find the LCM of both denominators. IN this case, the LCM of 15 and 35 is 105. Then we have to find the GCF of these numerators. IN this case, the GCF of 8 and 18 is 2.
Now, put the GCF you found over the LCM.
ANSWER: 2/105
This fraction is the largest number you can divide both numbers by to get a whole number.
hi!! <3 i attached a picture of a easy trigonometry question can you please help if you don’t mind <33
Answer:
Side AB has a length of 4, and side BC has a length of 11.7
If P(A)=35, P(B)=13, and P(A∩B)=18, are A and B independent?
Select the option that provides both the correct answer and the correct reason.
No, because 35(13)≠18.
Yes, because 35(13)=18.
Yes, because 35+13=18.
No, because 35÷13≠18.
No, because 35+13≠18.
Answer:
P(A) x P(B) = 35 x 13 = 455
P(A∩B) = 18
=> P(A) x P(B) ≠ P(A∩B).
=> A and B are not independent.
=> Option A (No, because 35(13)≠18) is correct.
Hope this helps!
:)
A and B are not independent because 35(13)≠18), the correct option is A
What is the independent probability?Independent events and probability can be defined as those occurrences that are not dependent on any specific event.
P(A)=35, P(B)=13, and P(A∩B)=18, are A and B independent.
It is to note here that A and B are the odd number outcome and multiples of 3 respectively. So, P (A ∩ B) = 18
P(D│E) = P (D ∩ E)/ P(B)
P(D│E) = 18/13
Here P(D) = P(D│E) = 18/13, which entails that the occurrence of event E will not be affected by the probability of event D’s occurrence.
Taking A and B as independent events, then P(D│E) = P(D).
Here, A and B are not independent because 35(13)≠18), the correct option is A.
Learn more about probability here;
https://brainly.com/question/11234923
#SPJ2
If X - 14 = 465, what is the value of X?
Answer: The value of x is 479
Step-by-step explanation:
x -14 = 465
+14 +14
x= 479
Answer:
x=479
Step-by-step explanation:
x-14=465 Move constant to the right-hand side and change its sign
x=465+14 add the numbers
x=479
HOPE THIS HELPS :)
Frank measured 56 cm. The actual length was 61 cm. Which expression shows his percent error?
Answer: 8.54701% difference
Step-by-step explanation: (61-56)/[(61+56)/2] x 100= 8.55%
Solve the equation for x, and enter your answer below.
10x - 15x + 5= -45 + 40
Answer: x = 2
Step-by-step explanation:
[tex]10x - 15x + 5= -45 + 40[/tex]
subtract 5
[tex]10x - 15x= -45 + 40-5[/tex]
Combine like terms;
[tex]-5x=-10[/tex]
Divide by -5
[tex]x=\frac{-10}{-5}\\ x=2[/tex]
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
[tex]10x - 15x + 5 = - 45 + 40 \\ 10x - 15x = - 5 - 45 + 40 \\ - 5x = - 10 \\ \frac{ - 5x}{ - 5} = \frac{ - 10}{ - 5} \\ x = 2[/tex]
-4x = -1/2(10x + 18)
Answer:
x = -9
Step-by-step explanation:
-4x = -1/2(10x + 18)
Distribute
-4x= - 5x -9
Add 5x to each side
-4x+5x = -5x+5x -9
x = -9
What is the first step to solving the quadratic equation x2=9over 16
Answer:
divide both sides by 2
Step-by-step explanation:
divide both sides by 2 then simplify and get x = 9 over 32
Answer:
Transposing square to rhs,it becomes root
Step-by-step explanation:
[tex]x^{2} =9/16[/tex]
[tex]x=[/tex][tex]\sqrt{9}/\sqrt{16\\[/tex] (transposing square to rhs,it becomes root)
[tex]x= 3/4[/tex]
Hope it helps...Pls mark as Brainliest!!!
Calculate the area of this figure below
Answer: [tex]96ft^2[/tex]
Step-by-step explanation:
We have a composite figure. We have a rectangle and a triangle. Calculate each of these figures' areas individually and add them together.
Rectangle:
length=10ft
width=8ft
[tex]Formula:A=l*w\\A=(10ft)(8ft)\\A=80ft^2[/tex]
----------------------------------------------------------
Triangle:
base: 4ft
height: 8ft
[tex]A=\frac{hb}{2}[/tex]
[tex]A=\frac{(8ft)(4ft)}{2}[/tex]
[tex]A=\frac{32ft^2}{2}[/tex]
[tex]A=16ft^2[/tex]
-------------------------------------------------------------
Add them:
[tex]80ft^2+16ft^2=96ft^2[/tex]
You randomly survey men and women about whether they plan to watch a football game on Sunday afternoon. A total of 40 men plan to watch a football game and a total of 17 women do not plan to watch a football game. A total of 45 women are surveyed. A total of 33 people do not plan to watch a football game. How many people did you survey?
Answer: 101
Step-by-step explanation:
45 women total
17 women will not watch the game
So 33 people did not want to watch the game and 17 are women
33-17 = 16 men who won’t watch the game
So 40 men who will and 16 men who won’t equals 56 men and 45 women
56+45= 101
-189=4x-3(-4x+15) help me i need help badly
Answer:
Step-by-step explanation:
−189=4x−3(−4x+15)
−189=16x−45
16x−45=−189
16x−45+45=−189+45
16x=−144
16x /16
= −144 /16
x=−9
Good luck honey !!
Answer:
x=-9
Step-by-step explanation:
-3×-4= 12x -3×15=-45
4x+12x-45=-189
4x+12x=16x
16x-45=-189
16x=-144
x=-9
Find the percent of all values in a normal distribution for which z ≤ 1.00, to the nearest tenth of percent.
Answer:
84.1% of all values in a normal distribution have z ≤ 1.00.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
The percent of all values in a normal distribution for which z ≤ 1.00.
This is the pvalue of Z = 1.
Z = 1 has a pvalue of 0.8413.
Converting to percentage, to the nearest tenth.
84.1% of all values in a normal distribution have z ≤ 1.00.
what is m if 9/7m= 1/7
Answer: [tex]m=\frac{1}{9}[/tex]
Step-by-step explanation:
[tex]\frac{9}{7}m=\frac{1}{7}[/tex]
Multiply by the reciprocal to isolate m.
[tex](\frac{7}{9} )\frac{9}{7}m=\frac{1}{7}(\frac{7}{9} )[/tex]
[tex]m=\frac{1}{9}[/tex]
Researchers once surveyed students on which superpower they would most like to have. The following two-way table displays data for the sample of students who responded to the survey.
What percent of students in the sample were male?
Round your answer to the nearest percent.
Answer:
14/50 or 28%
Step-by-step explanation:
THERE ARE 14 MALES WHO CHOSE INVISIBILITY AND 50 MALES IN TOTAL.
EZPZ
Scarlett bought 9 chicken wings for $3. What was the cost of the wings in wings per dollar? Express your answer in simplest form.
Answer:
3
Step-by-step explanation:
To find how much you can get for one dollar, you have to divide 9 by 3. If you have to find how many units can you get for one dollar, (you need to divide the larger number by the smaller)
Divide 9 by 3.
9/3=3
So, with $1, you can get 3 chicken wings.
The high for Monday was 0 degrees Fahrenheit and the low was -4 degrees Fahrenheit. What is the difference between the high and low temperature?
A shelf at a grocery store contains 500 packages of corn and flour tortillas. If 22% of the packages are flour tortillas how many packages are corn tortillas
A hockey team has a 75% chance of winning against the opposing team in each game of a playoff series. To win the series, the team must be the first to win 4 games.
A) Design a simulation for this event,
B) what counts as a successful outcome?
C) Estimate the probability using your simulation.
Can anyone help me? I’m kind of confused on this problem
Answer:
C. Estimate the probability using your simulation.
Step-by-step explanation:
I cant fail please help
Find the surface area.
Any help will be appreciated thank you
Answer:
Find the area of the shape
First the two triangles
3 x 4 = 12 so the area of both triangles is twelve
Now it is only 1 big rectangle left
The side lengths can be added 3 + 4 + 5 = 12
12 x 11 = 132
132+12=144
144 is the surface area/area
If you have any questions please ask
Step-by-step explanation:
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Answer:
8
Step-by-step explanation:
7*4=28
2*4=8
Answer:
c=8
Step-by-step explanation:
Using cross. multiplication
multiply 2 by 28 2x28=56
Multiple c by 7 cx7=7c
divide both sides by 7
c=8
what is exponential decay
Answer:
Exponential decay is the decrease in a quantity according to the law. (1) for a parameter and constant (known as the decay constant), where is the exponential function and is the initial value.
Answer:
When a population or group of something is declining, and the amount that decreases is proportional to the size of the population, it's called exponential decay. In exponential decay, the total value decreases but the proportion that leaves remains constant over time.
Step-by-step explanation:
Need help Soon as possible
Answer:
D; D
Step-by-step explanation:
The common difference of the first sequence is 10, so the coefficient is 10. The first term minus the common difference is -8, so that is the constant
The common difference of the second sequence is 3, so the coefficient is 3. The first term minus the common difference is -9, so that is the constant.
Which of the following values is a solution to the inequality? 12 – 5x > -8
Answer:
x < 4
Step-by-step explanation:
12 – 5x > -8
Subtract 12 from each side
12-12 – 5x > -8-12
-5x> -20
Divide each side by -5, remembering to flip the inequality
-5x/-5 < -20/-5
x < 4
Find the value of "Y" if;
Y-3 [4-2Y] = 16
Answer:
y=4
Step-by-step explanation:
hello :
Y-3 (4-2Y) = 16
y-12+6y = 16
7y-12=16
so :7y =12+16
7y=28
y=28/7 =4
What is the equation of the following line? Be sure to scroll down first to see all answer options.
A. y = 3x
B. y = x
C. y = 2x
D. y = -1/3x
E. y = -3x
F. y = 1/3x
Please help asap! Will give brainliest! Please answer correctly! No guessing. Check all that apply.
Answer:F
Step-by-step explanation:
Answer:
i honestly think that its A, C, D, F.
Step-by-step explanation:
for the A i think that you need to write down the facts so you dont forget and you remember when someone asks you a question.
For C you should gather your resources so you can do the experiment again if your not satisfied with the first result.
For D you should draw a diagram so you can keep track of your information that you used to get the final solution.
For F, you should always make sure that you didn't mess up and that you can redo it to double check.
whats 21/40 in equivalent decimals
I don’t understand this question. Can anyone help? I need answers ASAP. Thanks for all the help
There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)
There's no solution to this particular system because the two lines are parallel.
How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.
The line on the left passes through the points (-1, 0) and (0, -2), so it has slope
(-2 - 0)/(0 - (-1)) = -2/1 = -2
The line on the right passes through (0, 2) and (1, 0), so its slope is
(0 - 2)/(1 - 0) = -2/1 = -2
The slopes are equal, so the lines are parallel.
Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.
y = 2 - 2
y = 3x +4
Is (4, 2) a solution of the system?
Choose 1 answer:
А)
Yes
B
No
Answer:
B. No
Step-by-step explanation:
In order to see if (4, 2) is a solution, we have to plug 4 in for x and 2 in for y in the equations. If it's a true statement, then we know that the point is a solution.
One of the equations is y = 3x + 4. Plug in 4 for x and 2 for y:
y =? 3x + 4
2 =? 3 * 4 + 4
2 =? 12 + 4
2 ≠ 16
Thus, we know that (4, 2) is not a solution and the answer is B.
~ an aesthetics lover
