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3 years ago

Please answer question 14 C at rhe bottom and i will mark u whatever u want

Mathematics

1 answer:

Blizzard [7]3 years ago

4 0

Answer:

3km/h

Step-by-step explanation:

total distance ÷ total time = average speed

6 ÷ 2 = 3

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there are only red counters and blue counters in a bag. Jim takes at random a counter from a bag. the probability that the count

KengaRu [80]

Answer:

0.495 probability that Jim and Molly take counters of different colours

Step-by-step explanation:

For each trial, there are only two possible outcomes. Either a blue counter is picked, or a red counter is picked. The counter is put back in the bag after it is taken, which means that we can use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability that the counter is red is 0.45

This means that $p = 0.45$

Jim taken a counter, then Molly:

Two trials, so $n = 2$

What is the probability that Jim and Molly take counters of different colours?

One red and one blue. So this is P(X = 1).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{2,1}.(0.45)^{1}.(0.55)^{1} = 0.495$

0.495 probability that Jim and Molly take counters of different colours

5 0

3 years ago

Consider F and C below. F(x, y) = x4y5i + x5y4j, C: r(t) = t3 − 2t, t3 + 2t , 0 ≤ t ≤ 1 (a) Find a function f such that F = ∇f.

vovikov84 [41]

$\mathbf f(x,y)=x^4y^5\,\mathbf i+x^5y^4\,\mathbf j$

We want a scalar function $f(x,y)$ whose gradient is equivalent to the vector field. That means

$\dfrac{\partial f}{\partial x}=x^4y^5\implies f(x,y)=\dfrac{x^5y^5}5+g(y)$
$\dfrac{\partial f}{\partial y}=x^5y^4\implies x^5y^4=x^5y^4+\dfrac{\mathrm dg}{\mathrm dy}$
$\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=C$

So (a)

$f(x,y)=\dfrac{x^5y^5}5+C$

which means (b)

$\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f(\mathbf r(1))-f(\mathbf r(0))=f(-1,3)-f(0,0)=-\dfrac{243}5-0=-\dfrac{243}5$

5 0

3 years ago

-3(x-5)=45 Please answer asap!

MrRa [10]

-3(x-5)=45

distribute

-3x+15 = 45

subtract 15 from each side

-3x = 30

divide by -3

x = -10

4 0

3 years ago

A rectangle has a length of 6x-5y+1 if the perimeter of the rectangle is 16x-4y-4 determine an expression for its width

dimaraw [331]

Answer:

Width = 3y - 3

Step-by-step explanation:

P = 2l + 2w

12x - 4y - 4 = 2(6x - 5y + 1) + 2w

12x - 4y - 4 = (12x - 10y + 2) + 2w

6y - 6 = 2w

w = 3y - 3

4 0

2 years ago

Which steps can be used to solve 6 X 1 7 2 8 for x?

Gnesinka [82]

Answer:

2856

Step-by-step explanation:

This question is a little unclear. 6 times 17 times 28 is equal to 2856 if that is what you are trying to ask.

4 0

3 years ago