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kodGreya [7K]
3 years ago
8

A arch weighs about 20000 tons. write an amount that could be the exact number of tons

Mathematics
1 answer:
AfilCa [17]3 years ago
8 0
The arche's weight could range from 15,000 tonnes to 24,999 tonnes beacause if you round them to the nearest 10,000 it would come out as 20,000.
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Jake, Kim and Lee share some money in the ratio 1 : 3 : 6.
Scrat [10]

Answer:

£27.00

Step-by-step explanation:

3 × £9 = £27 amount Lee gets

3 0
2 years ago
Suppose the number of hits a webpage receives follows a Poisson distribution. The average number of hits per minute is 2.4.
JulijaS [17]

Answer: a) P(x=0) = 0.0907, b) P(x≥10) = 0.7986

Step-by-step explanation: the probability mass function of a possion probability distribution is given as

P(x=r) = (e^-λ)×(λ^r) /r!

Where λ = fixed rate at which the event is occurring and each event is independent of each other = 2.4

a) P(x= at least one) = P(x≥1)

P(x≥1) = 1 - P(x<1)

But P(x<1) = P(x=0) { we can not continue to negative values because our values of x can only take positive values of integer}

Hence, P(x≥1) = 1 - P(x=0)

P(x=0) = e^-2.4 * 2.4^0/(0!)

P(x=0) = 0.0907×1/1

P(x=0) = 0.0907

b) if the average number of hits in 1 minutes is 2.4 then for 5 minutes we have 2.4×5 = 12.

Hence λ = 12.

P(x= at least 10) =P(x≥10) = 1 - P(x≤9)

P(x≤9) will be gotten using a cumulative possion probability distribution table whose area is to the left of the distribution.

From the table P(x≤9) = 0.2014.

P(x≥10) = 1 - 0.20140

P(x≥10) = 0.7986

4 0
2 years ago
Which equation represents the circle described?
bazaltina [42]

We have the equation:

x^2+y^2-8x-6y+24=0


By arranging this equation in terms of x and y, we have:


x^2-8x+y^2-6y=-24 \\ \\


By using the method of completing the square, we have:

x^2-8x+\mathbf{\left(\frac{8}{2}\right)^2}+y^2-6y+\mathbf{\left(\frac{6}{2}\right)^2}=-24+\mathbf{\left(\frac{8}{2}\right)^2}+\mathbf{\left(\frac{6}{2}\right)^2} \\ \\ x^2-8x+\mathbf{16}+y^2-6y+\mathbf{9}=-24+\mathbf{16}+\mathbf{9} \\ \\ \boxed{(x-4)^2+(x-3)^2=1}


The center of this circle is:

(h,k)=(4,3)


So the equation that fulfills the statement is:

(x-4)^2+(y-3)^2=2^2


Finally, the right answer is c)

6 0
3 years ago
Read 2 more answers
Which sequence can be generated from the formula f(x + 1) = One-half(f(x))?
AlekseyPX

Answer:

x, StartFraction x Over 2 EndFraction, StartFraction x Over 4 EndFraction, StartFraction x Over 8 EndFraction, ellipsis

Step-by-step explanation:

7 0
3 years ago
Point m is located at 4,-2 what is located 2 units for point m
eimsori [14]

Answer:

None

Step-by-step explanation:

Given

m = (4,-2)

Required

Point 2 units from m

There are 4 possible points 2 units from m and they are:

m' = (4+2,-2) = (6,-2)

m" = (4,-2+2) = (4,0)

m'''= (4-2,-2) = (2,-2)

m'''' = (4,-2-2) = (4,-4)

From the graph, we have:

A = (4,2)

B = (-4,2)

C = (2,-3)

None of the points is 2 units from m

7 0
2 years ago
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