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3 years ago

When would you use a negative number to describe a real world amount? Give an example.

Mathematics

1 answer:

Furkat [3]3 years ago

8 0

Answer:

Debt

Step-by-step explanation:

Let's say someone uses debit instead of credit and they don't have any money in their account. If used multiple times you could potentially end up owing the bank (be in debt) .

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Measure the diagonal of a square whose area is exactly one square foot. Is the diagonal length closer to 1.5 or 1.4 feet? Explai

kondor19780726 [428]

It is closer to 1.4

Step-by-step explanation:

This is a 45 45 90 triangle

To find the hypotenuse of this triangle it is any side length times the square root of two.

Formula: Square Root = sqrt

Hypotenuse = SideLength*sqrt(2) ; 1*sqrt(2) = 1.412...

Rounded to the nearest tenths it is closer to 1.4 than 1.5

8 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

G(x)=3x-2;find g(7)

mixas84 [53]

G(7)=3(7)-2 || g(7)=19

3 0

3 years ago

Read 2 more answers

There were 16 more frogs in Green Pond than in Blue Pond. All the frogs from Blue Pond jumped into Green Pond. Now the total num

Dimas [21]

Let the number of frogs in the Blue Pond be x
Blue Pond = x
There were 26 more frogs in Green Pond than in Blue Pond
Green Pond = x + 26
There were 80 frogs altogether
x + x + 26 = 80
2x + 26 = 80
2x = 80 - 26
2x = 54
x = 27
x + 26 = 27 + 26 = 53

There were 53 frogs in the Green Pond originally.

3 0

3 years ago

Elijah and Riley are playing a board game. Elijah chooses the dragon for his game piece, and Riley chooses the cat for hers. The

saveliy_v [14]

Answer:

The answer to the quesion is B.... 3/8in

Step-by-step explanation:

6 0

2 years ago