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ValentinkaMS [17]

3 years ago

13

The 3rd and the 4th terms of an arithmetic progression are 6and30 respectively determine the common term,first term and the 10th

term

1 answer:

vodka [1.7K]3 years ago

7 0

Answer:

first term= -42

common difference= 24

10th term= 174

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What is .075 in fraction simplest form

agasfer [191]

0.075 = 75/1000 = 3/40 <==

3 0

3 years ago

Read 2 more answers

I need help<br> ertyuiop[-poiuytrtyuiop-[=poiuytyuio0p[poi uytrtyhujio iuytretyui oiuytrert yuiuytr

SashulF [63]

Answer:

ertyuiop[-poiuytrtyuiop-[=poiuytyuio0p[poi uytrtyhujio iuytretyui oiuytrert yuiuytr = 42

Step-by-step explanation:

3 0

3 years ago

Suppose that 50% of the watches produced by a certain factory are defective. A store buys a box with 400 watches produced by thi

tiny-mole [99]

Answer:

$(a)\ P(x \ge 215)$

$(b)\ P(x \ge 214.5) = 0.07353$

Step-by-step explanation:

Given

$p = 0.50$ ---- proportion of watches with defects

$n = 400$ --- Number of watches

Solving (a): Represent at least 215 of 400 are defective

In inequalities, at least means: $\ge$

So, the probability is represented as: $P(x \ge 215)$

Solving (b): Calculate $P(x \ge 215)$

Normal or Poisson: Normal distribution is characterized by 2 parameters $\mu$ and $\sigma$ .

These two parameters can be easily calculated from the given parameters in the question. So, we solve using normal distribution

Start by calculating the mean

$\mu =np$

$\mu = 0.50 * 400$

$\mu = 200$

Calculate standard deviation

$\sigma = \sqrt{\mu (1 - p)$

$\sigma = \sqrt{200 * (1 - 0.50)$

$\sigma = \sqrt{200 * 0.50$

$\sigma = \sqrt{100$

$\sigma = 10$

By continuity correction, we have:

$x \to x - 0.5$

$x \to 215 - 0.5$

$x \to 214.5$

So, we have:

$P(x \ge 215) = P(x \ge 214.5)$

Calculating $P(x \ge 214.5)$ , we have:

$P(x \ge 214.5) = 1 - P(x < z)$

Calculate z score

$z = \frac{x - \mu}{\sigma}$

$z = \frac{214.5 - 200}{10}$

$z = \frac{14.5}{10}$

$z = 1.45$

So, we have:

$P(x \ge 214.5) = 1 - P(x < 1.45)$

Using the z score probability table, we have:

$P(x < 1.45) = 0.92647$

So, we have:

$P(x \ge 214.5) = 1 - 0.92647$

$P(x \ge 214.5) = 0.07353$

4 0

3 years ago

Please help me out - I’m confused

Arte-miy333 [17]

Step-by-step explanation:

espero te sirva. Hope it helps you

6 0

3 years ago

Solve for the distance between the points (0, -9) and (-4, 3). Simplify your answer.

umka2103 [35]

Answer:

The distance is $4\sqrt{10$

Step-by-step explanation:

I used the distance formula

8 0

3 years ago