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lora16 [44]
3 years ago
7

Amber's mean mark on five tests is 80.

Mathematics
2 answers:
OverLord2011 [107]3 years ago
8 0

Answer:

88

Step-by-step explanation:

The mean is the total sum of all the marks divided by how many there are.

68+81+74+89=312 Total of 4 tests

80×5 = 400 Total marks on 5 tests

400-312 = 88 Total marks on 5 tests - Total marks on 4 tests = 1 test

68+81+74+89+88 = 400

Mice21 [21]3 years ago
3 0

Answer:

The answer is 88.

Step-by-step explanation:

68+81+74+89+x/5=80

312+x/5=80

312+x=80*5

312+x=400

x=400-312

x=88

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Caleb and Suzanne each have a pile of blue and white chips. Caleb determines in his pile,three out of every four chips is blue.
Artist 52 [7]

Answer:

Total number of chips Caleb have = 8

Total number of chips Suzanne have = 30

Step-by-step explanation:

In Caleb case -

Three out of every four chips is blue

⇒ If Caleb has total chips = 4

Then Blue chips = 3

⇒White chips = 4 - 3 = 1

Now,

If Caleb have 6 blue chips

⇒3 Blue chips = 4 total chips

  1 Blue chip = \frac{4}{3} total chips

⇒6 blue chips = \frac{4}{3} ×6 = 4×2 = 8 total chips

∴ we get

Number of chips become = 8

In Suzanne case -

One out of every five chips are blue.

⇒ If Suzanne has total chips = 5

Then Blue chips = 1

⇒White chips = 5 - 1 = 4

Now,

If Suzanne have 6 blue chips

⇒1 Blue chips = 5 total chips

⇒6 blue chips = 5×6 = 30 total chips

∴ we get

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3 years ago
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The lifetime, in years, of some electronic component is a continuous random variable with the density f(x) =   k x4 for x ≥ 1
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For this to be a proper density function, it must be positive (it is) and its integral over the support [1,\infty) must evaluate to 1. We have

\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=\int_1^\infty\frac k{x^4}\,\mathrm dx=-\frac k{3x^3}\bigg|_1^\infty=\frac k3=1

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The distribution function is obtained by integrating the density:

F(x)=\displaystyle\int_{-\infty}^xf(t)\,\mathrm dt=\begin{cases}0&\text{for }x

The probability that the component exceeds 2 years in its lifetime is

P(X>2)=1-P(X\le 2)=1-F(2)=1-\left(1-\dfrac18\right)=\dfrac18

3 0
3 years ago
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