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3 years ago

Find the first four terms and the tenth 12-n

Mathematics

1 answer:

Ad libitum [116K]3 years ago

3 0

Answer:

Q1: 7, 10, 13, 16 10th Term = 34

Q2: -1, 3, 7, 11 10th Term = 35

Q3: 11, 10, 9, 8 10th Term = 2

Q4: 3, 1, -1, -3 10th Term = -15

Step-by-step explanation:

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A quality control inspector has drawn a sample of 10 light bulbs from a recent production lot. Suppose 20% of the bulbs in the l

Neko [114]

Answer:

The probability is 0.0008.

Step-by-step explanation:

Let X represents the event of defective bulb,

Given, the probability of defective bulb, p = 20 % = 0.2,

So, the probability that bulb is not defective, q = 1 - p = 0.8,

The number of bulbs drawn, n = 10,

Since, binomial distribution formula,

$P(x=r) = ^nC_r p^r q^{n-r}$

Where, $^nC_r = \frac{n!}{r!(n-r)!}$

Hence, the probability that exactly 7 bulbs from the sample are defective is,

$P(X=7)=^{10}C_7 (0.2)^7 (0.8)^{10-7}$

$=120 (0.2)^7 (0.8)^3$

$=0.000786432$

$\approx 0.0008$

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3 years ago

Solve for the variable x.

inna [77]

Answer:

Step-by-step explanation:

Equating the terms :

x + 3 = 2x - 2

Add 2 on both sides :

x + 3 + 2 = 2x - 2 + 2
x + 5 = 2x

Subtract x from both sides :

x + 5 - x = 2x - x
<u>x = 5</u>

3 0

2 years ago

The formula for the perimeter of a rectangle is P = 2 (1+w) solve for w.

max2010maxim [7]

$2(1+w)=P\ \ \ \ |\text{use distributive property}\\\\2+2w=P\ \ \ \ |-2\\\\2w=P-2\ \ \ \ |:2\\\\\boxed{w=\dfrac{P-2}{2}}$

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3 years ago

A 30-60-90 triangle with a hypotenuse of 6 . Find the length of all other sides

andrew-mc [135]

1. Find the "opposite side," if the angle is 60 degrees and the hyp is 6:

opp opp sqrt(3)
sin 60 deg = ------- = -------- = ----------
hyp 6 2

Cross-multiplying, 2(opp) = 6sqrt(3), so that opp = 3 sqrt(3) (answer)

2. Use the Pyth. Thm. to find the "adjacent side:"

[3sqrt(3)]^2 + x^2 = 6^2, or 9(3) + x^2 = 36, or x^2 = 9, or x = 3.

The lengths of the legs of this 30-60-90 triangle are 3 and 3 sqrt(3).

check: Does 3^2 + [3sqrt(3)]^2 = 6^2?
Does 9 + 9(3) = 6^2? YES

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4 years ago

The width of a rectangle is 12 less than twice the length, and the area of the rectangle is 270m2.

NikAS [45]

Answer:

Step-by-step explanation:

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3 years ago