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2 years ago

Convert to the unit in brackets

Mathematics

1 answer:

IRINA_888 [86]2 years ago

6 0

Step-by-step explanation:

4 ton in kg =4×1000=4000kg

5 kg in ton = 5×1000=5000kg

6=kg =6×1000=6000kg

7mm in cm = 7×10=7 cm

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How do i find the radius? please help :(

Rus_ich [418]

Answer:

r = 40/π exact answer

r = 12.7 decimal approximation

Step-by-step explanation:

arc length formula

s = (∅/360) * 2πr

s = (∅/180) * πr

--------------------------------

Plug in the givens

10 = (45/180) * πr

10 = .25πr

Divide both sides by .25

40 = πr

divide both sides by π

40/π = r

r = 40/π exact answer

r = 40/3.14

r = 12.7 decimal approximation

8 0

3 years ago

The perimeter of a rectangular painting is 312 centimeters. If the width of the painting is 64 centimeters, what is its length?

Kay [80]

Perimeter= 2L + 2W
312 cm= 2L + 2(64)
312= 2L + 128
subtract 128 from both sides
184= 2L
divide both sides by 2
92 cm= L

ANSWER: The length is 92cm.

Hope this helps! :)

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3 years ago

If you apply the changes below to the cubic parent function, F(x)=x3, what is the equation of the new function if it reflects ac

gavmur [86]

Answer:

g(x) = 7(-x)³

Step-by-step explanation:

The cubic parent function is given as; f(x) = x³

Now, we are told that it reflects across the y-axis. This means that the new function will take the form;

g(x) = f(-x)

Thus, the new function is;

g(x) = (-x)³

Now,we are told that this new function stretches by multiplying by 7. Thus, we now have;

g(x) = 7(-x)³

6 0

3 years ago

An electronic product contains 40 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the

neonofarm [45]

Answer:

There is a 33.10% probability that there is at least one defective integrated circuit.

Step-by-step explanation:

For either integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

In this problem

The electonic product contains 40 integrated circuits, so $n = 40$ .

The probability that any integrated circuit is defective is 0.01, so $\pi = 0.01$

What is the probability that there is at least one defective integrated circuit?

Either there is at least one defective integrated circuit, that is probability $P(X > 0)$ , or there are no defective integrated circuits, that is probability $P(X = 0)$ . The sum of these probabilities is decimal 1. We want to find $P(X>0)$ .