What is equivalent to the product of 6 x 10 to the 9th power + 3 x 10 to the 7th power

Emily has a babysitting job that pays $11 per hour. She wants to know how many hours she has to babysit to afford a

SCORPION-xisa [38]

Answer: 165=11h

Step-by-step explanation:

I believe it would be 165=11h because you have to multiply the number of hours she worked times 11 to get the amount that would equal 165!

5 0

2 years ago

How do I do 6 x 1.90 but in the house method

asambeis [7]

Answer:

um 6 times 1.90 = 11.4 hope this helpssssssssssss piece

Step-by-step explanation:

8 0

2 years ago

If a translation of (x, y) → (x + 6, y – 10) is applied to figure ABCD, what are the coordinates of D'?

Mice21 [21]

Answer:

(x , y) is translated to Horizontal translation right '6' units and

Vertical translation down '10' units

(x ,y ) → ( x +6 , y - 10)

Step-by-step explanation:

Explanation:-

Type of Transformation Change to co-ordinate point

Vertical translation up 'd' units (x, y) → (x , y+d)

Vertical translation down 'd' units (x, y) → (x , y-d)

Horizontal translation left 'c' units (x ,y ) → (x - c , y)

Horizontal translation right 'c' units (x ,y ) → (x + c , y)

Given (x , y) is translated to Horizontal translation right '6' units and

Vertical translation down '10' units

There fore

(x ,y ) → ( x +6 , y - 10)

7 0

3 years ago

Read 2 more answers

A machine has 12 identical components which function independently. The probability that a component will fail is 0.2. The machi

iogann1982 [59]

Answer:

$P(X>3) =1- P(X\leq 3) = 1-[P(X=0)+P(X=1) +P(X=2) +P(X=3)]$

And if we find the individual probabilities we got:

$P(X=0)=(12C0)(0.2)^0 (1-0.2)^{12-0}=0.0687$

$P(X=1)=(12C1)(0.2)^1 (1-0.2)^{12-1}=0.2062$

$P(X=2)=(12C2)(0.2)^2 (1-0.2)^{12-2}=0.2835$

$P(X=3)=(12C3)(0.2)^3 (1-0.2)^{12-3}=0.2362$

And if we replace we got:

$P(X>3) =1- P(X\leq 3) = 1-[0.0687+0.2062 +0.2835 +0.2362]=0.20543$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=12, p=0.2)$

And we want to find this probability:

$P(X > 3)$

And we can use the complement rule and we got:

$P(X>3) =1- P(X\leq 3) = 1-[P(X=0)+P(X=1) +P(X=2) +P(X=3)]$

And if we find the individual probabilities we got:

$P(X=0)=(12C0)(0.2)^0 (1-0.2)^{12-0}=0.0687$

$P(X=1)=(12C1)(0.2)^1 (1-0.2)^{12-1}=0.2062$

$P(X=2)=(12C2)(0.2)^2 (1-0.2)^{12-2}=0.2835$

$P(X=3)=(12C3)(0.2)^3 (1-0.2)^{12-3}=0.2362$

And if we replace we got:

$P(X>3) =1- P(X\leq 3) = 1-[0.0687+0.2062 +0.2835 +0.2362]=0.20543$

4 0

3 years ago

Read 2 more answers

1 and 5/7divided by negative 6 simplify

sattari [20]

Answer:

-0.286

Step-by-step explanation:

1 5/7 = 1.7143

1.7143/-6 = -0.286

4 0

2 years ago