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3 years ago

Roberto cut 12 meters of string into 4 equal sized pieces. How long is each piece of string in centimeters?

Mathematics

1 answer:

Paladinen [302]3 years ago

8 0

Answer:

300

Step-by-step explanation:

Divide 12 and 4.

12/4 = 3

Each piece is 3 meters long.

To convert meters to centimeters you have to multiply 3 by 100.

100 x 3 = 300.

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The midpoint of FG is (6-4) and the coordinates of point Fare (-3, 6) What are the coordinates of point G?

lora16 [44]

Answer:

(15,-14)

Step-by-step explanation:

Given that,

The midpoint of FG is (6-4) and the corrdinates of F are (-3,6).

Let (x,y) be the coordinates of point G. Using mid point formula,

$\dfrac{x+(-3)}{2}=6\ \text{and}\ \dfrac{y+6}{2}=-4\\\\x-3=12\ \text{and}\ y+6=-8\\\\x=15,\ \text{and}\ y=-14$

So, the coordinates of G are (15,-14).

4 0

3 years ago

Find a 15% tip on a restaurant meal costing $50.

Tema [17]

The 15% tip would be 50*0.15=$7.5

5 0

3 years ago

Read 2 more answers

2. The quality assurance department inspects its production line. The product either fails or passes the inspection. Past experi

Oksana_A [137]

Answer:

(a) $E(X) = 950$

(b) $COV = 0.007255$

Step-by-step explanation:

The given problem can be solved using binomial distribution since the product either fails or passes, the probability of failure or success is fixed and there are n repeated trials.

probability of failure = q = 0.05

probability of success = p = 1 - 0.05 = 0.95

number of trials = n = 1000

(a) What is the expected number of non-defective units?

The expected number of non-defective units is given by

$E(X) = n \times p \\\\E(X) = 1000 \times 0.95 \\\\E(X) = 950$

(b) what is the COV of the number of non-defective units?

The coefficient of variance is given by

$COV = \frac{\sigma}{E(X)}$

Where the standard deviation is given by

$\sigma = \sqrt{n \times p\times q} \\\\\sigma = \sqrt{1000 \times 0.95\times 0.05} \\\\\sigma = 6.892$

So the coefficient of variance is

$COV = \frac{6.892}{950}$

$COV = 0.007255$

(c) What is the probability of having more than 980 non-defective units?

We can use the Normal distribution as an approximation to the Binomial distribution since n is quite large and so is p.

$P(X > 980) = 1 - P(X < 980)\\\\P(X > 980) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\$

We need to consider the continuity correction factor whenever we use continuous probability distribution (Normal distribution) to approximate discrete probability distribution (Binomial distribution).

$P(X > 980) = 1 - P(Z < \frac{979.5 - 950}{6.892} )\\\\P(X > 980) = 1 - P(Z < \frac{29.5}{6.892} )\\\\P(X > 980) = 1 - P(Z < 4.28)\\\\$

The z-score corresponding to 4.28 is 0.99999

$P(X > 980) = 1 - 0.99999\\\\P(X > 980) = 0.00001\\\\$

So it means that it is very unlikely that there will be more than 980 non-defective units.

8 0

3 years ago

Solve the equation: Ab = 56 b = [?]

riadik2000 [5.3K]

Answer:

B can be 1, 2, 4, 7, 8, 14, 28 and 56.

Basically any factor of 56.

Hope that helps!

Step-by-step explanation:

7 0

2 years ago

What is the solution set of -9x

klio [65]

Answer:

B. x≥-3

Step-by-step explanation:

To solve this problem, first you have to isolate it one one side of the equation.

First, multiply -1 from both sides.

(-9x)(-1)≥27(-1)

Solve.

27*-1=-27

9x≥-27

Next, divide by 9 from both sides.

9x/9≥-27/9

Then, solve.

-27/9=-3

Therefore, the correct answer is x≥-3.

5 0

3 years ago

Read 2 more answers