Answer:
[tex]d=864\times 10^6\ m[/tex]
Step-by-step explanation:
Given that,
Speed of a car, v = 120 km/s
It takes 120 minutes
v = 120000 m/s
t = 7200 s
We need to find the distance covered. Speed is given by :
v = distance/time
[tex]d=v\times t\\\\d=120000\ m/s\times 7200\ s\\\\d=864\times 10^6\ m[/tex]
So, the distance covered is [tex]864\times 10^6\ m[/tex].
There are 22 students, from which 6 people will be selected to be on a panel. If Allen and Joe are 2 of the 22 students, then what is the probability that neither will be selected to be on the panel?
Round your answer to three decimal places.
==========================================
Explanation:
Let's start off counting the number of ways to form the panel that doesn't have Allen or Joe on it. In other words, both are not on the panel.
There are 22 students, but we want to exclude 2 of them (Allen and Joe) from the panel. So in reality, we only have 20 students to pick from. There are 6 slots to fill.
The first slot has 20 choices
The second slot has 19 choices
The third has 18 choices
And so on. We count our way down until all six slots are filled. We'll have this sequence of six values: 20, 19, 18, 17, 16, 15
They multiply out to 20*19*18*17*16*15 = 27,907,200
This is the number of permutations where we choose 6 from a pool of 20.
With permutations, order matters; however, order doesn't matter on this panel. All we care about is the group overall.
So we must divide by 6! = 6*5*4*3*2*1 = 720 and we get
(27,907,200)/(720) = 38,760
There are 38,760 different combinations, so there are 38,760 different panels where neither Allen nor Joe are selected.
We'll use this later later, so let A = 38,760
------------------------------------------------------
Now onto the next part. We need to count the total number of possible panels, and this time we're including Allen and Joe.
We have our original total of 22 students. There are still 6 seats to fill.
We could follow the same steps as the prior section, but I'll use a different route.
Let n = 22 and r = 6. Plug these values into the nCr combination formula below
[tex]_n C_r = \frac{n!}{r!*(n-r)!}\\\\_{22} C_6 = \frac{22!}{6!*(22-6)!}\\\\_{22} C_6 = \frac{22!}{6!*16!}\\\\_{22} C_6 = \frac{22*21*20*19*18*17*16!}{6!*16!}\\\\_{22} C_6 = \frac{22*21*20*19*18*17}{6!}\\\\_{22} C_6 = \frac{22*21*20*19*18*17}{6*5*4*3*2*1}\\\\_{22} C_6 = \frac{53721360}{720}\\\\_{22} C_6 = 74613\\\\[/tex]
There are exactly 74,613 ways to form a committee of 6 people from a pool of 22 total.
Let B = 74,613
------------------------------------------------------
To find the probability of neither Allen or Joe are on the committee, we divide the values of A and B found earlier
A/B = (38,760)/(74,613) = 0.5194805
This value is approximate.
Rounding to three decimal places, or rounding to the nearest thousandth, leads to the final answer 0.519
There's roughly a 51.9% chance of forming a panel where neither Allen nor Joe are members.
Julie sent 200 emails last month. This month she sent 40% less. How many
emails did she send this month?
Answer:
She sent 120 emails this month.
Step-by-step explanation:
Multiply 200 by .60 (60 percent) and it will give you 120.
I used 60 instead of 40 because the problem said 40 percent less, NOT 40 percent of 200.
Someone help me please
Answer:
It's the third answer.
Step-by-step explanation:
Maths
multiple (7s^5)(-1/5s^3
Answer:
Is that a real equation?
Step-by-step explanation:
List all 9 integers between -3.5 and 5.5
Answer:
-3, -2, -1, 0, 1, 2, 3, 4 and 5. is the answer
Integers are numbers that don't have any fractional or decimal portions to them. They include negative values as well as positive ones, and zero as well. Use a number line if needed.
can you please help
==================================================
Explanation:
We have four lines that form 4 intersection points. Let's label these points A,B,C, and D. Check out the diagram below.
We can say that angle 1 is a corresponding angle to angle 9 because
a) The two angles are in the same position of their four corner configuration (both are in the north of each four corner configuration)b) the angles mentioned are at points that are adjacent to one another. Point A is adjacent to point DSimilarly, angles 4 and 12 are corresponding as well. They are both in the east quadrant and point A is adjacent to point B. A similar thing happens with angles 5 and 7.
In contrast, angles 6 and 16 are not corresponding angles. Yes they are both in the south quadrants of their four corner configuration, but point A is not adjacent to point C. Angle 6 corresponds to only angle 14 and angle 8, but not angle 16.
One of the assumptions made in OLS regression is that
a) the error terms are dependent
b) the model is nonlinear
c) the error terms are normally distributed
d) the error terms are all equal
e) the error terms have unequal variances
Answer:
B
Step-by-step explanation:
please help me put :>
you are buying orange juice for $3.50 per container and have a gift card worth $5. the function f(x)=3.50x - 5 represents your total cost f(x) if you buy x containers of orange juice and use the gift card. How much would you pay for 4 containers of orange juice?
Answer:
You would pay 9 dollars because 4 times 3.5 is 14. If you subtract the 5 dollars from the gift card you're only paying 9 dollars out of pocket
Solve the equation -2(y-1)=9
Simplify 7 + (-3)
Answers: -10 or -4 or 4 or 10
Answer:
4
Step-by-step explanation:
7 + (-3)
= 7 - 3
Answer:
the answer is 4
Step-by-step explanation:
Marry me, Im a pan tomboy, real short sadly ;v;, and my brother hops on sometimes so marry me?
Answer:
0-0 im sure your brother would love to marry you
Answer:
lol
Step-by-step explanation:
Find the slope of x 0 2 4 8 Y 0 12 24 48
2 x 2 x 2 x 7 is the prime factorization of what number?? please help :(
Answer:
2×2×2×7
Step-by-step explanation:
if you multply 2×2 it is 4×2=8×7=56
backward is easy 7×2= 14×2= 28×2=56
2 × 2 × 2 × 7 is the prime factorization of the number 56.
Given that,
To determine the number whose prime factorization is given as 2 x 2 x 2 x 7.
What is the factors?
Factors can be defined by splitting the value into multipliable values.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Prime factorization of the number are a multiplicable number that consists of the prime numbers only,
According to the question,
2 x 2 x 2 x 7 = 56
Thus, 2 × 2 × 2 × 7 is the prime factorization of the number 56.
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find the angle YWX.
Answer:
34
Step-by-step explanation:
9x-28 = 5x-8
4x = 20
x = 5
5 times x(aka 5) minus 8=17
9 times x(aka 5) minus 28=17
17+17
ywx=34
The value of the angle YWX will be 34.
What is geometry?One of the earliest areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.
Given that the two angles ZWY and ZWX are ( 9x - 28 ) and ( 5x - 8 ) respectively,
The angle will be calculated as:-
9x-28 = 5x-8
4x = 20
x = 5
The angle YWX will be the sum of the angles YWZ and XWZ.
YWX = ( 9 x 5) -28 + ( 5 x 5 ) - 8
YWX = 45 - 28 + 25 - 8
YWX = 17 + 17
YWX = 34
Hence, the measure of the angle YWX is 34.
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A car that costs $14,000 without tax costs $14,700 with tax what is the sales tax percent (percent increase)?
Yo the car is.......................Step-by-step explanation:
Help please if you get it right then you get brainliest
Answer:
C. Australia and Antarctica were a single landmass in the past.
Step-by-step explanation:
The most likely explanation for why the fossils of this plant are found on these two continents is that Australia and Antarctica were a single landmass in the past.
This evidence is vastly supported by the theory of plate tectonics originally, the theory of continental drift.
Plate tectonics proposes that all land masses were once joined together as a single supercontinent called Pangaea.
The region of Antartica and Australia were once joined as a single continental mass.
The plant must have developed together at that time.
When the continents moved apart, they still had the fossils.
whats 7/12 divided by 2
Answer:
7/24
Step-by-step explanation:
Answer:
7/12×1/2
7/24
0.291
hope this is correct
Which ordered pair (x, y) satisfies both equations y = x2 + 6 and x = 6 - y?
A)
(0, -1)
B)
(-1,5)
99
(1,7)
D)
(-1,7)
Answer: D
Step-by-step explanation:
From the graph we can see that the solution to the equations is at A(0, 6) and B(-1, 7)
Given the system of equations:
x = 6 - y
y = -x + 6 (1)
y = x² + 6 (2)
Both graphs were plotted using geogebra online graphing tool.
From the graph we can see that the solution to the equations is at A(0, 6) and B(-1, 7)
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A cookie recipe for 60 cookies calls for 4 cups of flour. how much flour is needed to make 90 cookies that elevated, flat-topped landforms are shown in the above picture?
Answer:
6
Step-by-step explanation:
60/4=15
1 cup of flour=15 cookies
2 cups of flour= 30 cookies
3 cups of flour= 45 cookies
4 cups of flour= 60 cookies
5 cups of flour= 75 cookies
6 cups of flour= 90 cookies
Please answer please
Answer:
-7
Step-by-step explanation:
Y=mx+b. The m (number before the x) is always the slope.
What value of x is in the solution set of 9(2x + 1) < 9x - 18?
A. -4
B. -3
C. -2
D. -1
Answer:
b. -3
Step-by-step explanation:
9(2x+1) < 9x-18
(distribute the 9)
18x+9 <9x-18
(subtract 9 from both sides)
18x<9x-27
(subtract 9x from both sides)
9x<-27
(divide both sides by 9)
x<-3
5.) A car dealership has hired you to determine how many sales they can make based on how many flash sales they have in a quarter. You're able to determine that the data has a strongly linear positive association and a correlation value of r= 0.86. How should you state your findings?
OA. As the number of flash sales per quarter increases, car sales tend to increase.
OB. A dealership that sells more cars is probably holding more flash sales.
OC. Flash sales are proven to increase the number of car sales.
OD. Flash sales increase customer traffic, which will naturally lead to more vehicle sales.
Answer:
its B
Step-by-step explanation:
sorry if its wrong
help meeeeee plsssss
Need help ?:!:!?????????
Answer: 80%
16/20=0.8
80%
I hope this is good enough:
1a) How much does each person pay when 6 people share the cost of a meal
costing $100?
Answer:
16.66
Step-by-step explanation:
Answer:
16.6666666667
Step-by-step explanation:
you take 100 and divide it by 6 and you will get 16.6666666667 or if you round it you will get 17 dollars
Why is this statement false?
If a number has 2 and 4 as factors, then it has 8 as a factor.
Answer:
It is false
Step-by-step explanation:
It is false because 12 has the factors of 2 and 4 but 8 is not a factor of 12.
The statement is false. If a number has 2 and 4 as factors, it doesn't mean that it has 8 as a factor.
The fact that a number has 2 and 4 as factors, doesn't mean that the number will have 8 as a factor. For example, 4 and 12 have both 2 and 4 as factors but don't have 8 as a factor
Factors of 4 = 1, 2 and 4.Factors of 12 = 1, 2, 3, 4, 6 and 12.Therefore, the fact that a number has 2 and 4 as factors doesn't mean that it has 8 as a factor.
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Simplify expression giving brainliest to first correct answer
Answer: a
Step-by-step explanation:
Answer:
-360
Step-by-step explanation:
Use PEMDAS
if a graph of the U.S contained all 50 States, could it contain an Euler path or an Euler Circuit?
Answer:
it would contain a Euler path
Step-by-step explanation:
Translate the sentence into an equation.
Seven less than the product of 2 and a number equals 3.
Use the variable b for the unknown number.
Answer:
2b - 7 = 3
Step-by-step explanation:
2b - 7 = 3
which expression is equivalent to the given expression 4(a-3)
-8a
4a-12
4a-3
-4(a+30
Answer:
4a-12
Step-by-step explanation:
4(a-3)=4a-4×3=4a-12