Find each unit cost <br> $12 for 4 square yards <br> $3.45 for 3.7 oz <br> $9 for 5 L

katovenus [111]

The sign would be negative

X is in the negative area meaning that when x/y and multiplied by y, it would stay negative since y is positive

4 0

2 years ago

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Question 4 of 10, Step 1 of 1 1/out of 10 Correct Certify Completion Icon Tries remaining:0 The Magazine Mass Marketing Company

erastovalidia [21]

Answer:

0.0105 = 1.05% probability that no more than 3 of the entry forms will include an order.

Step-by-step explanation:

For each entry form, there are only two possible outcomes. Either it includes an order, or it does not. The probability of an entry including an order is independent of any other entry, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

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

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

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

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

And p is the probability of X happening.

The Magazine Mass Marketing Company has received 16 entries in its latest sweepstakes.

This means that $n = 16$

They know that the probability of receiving a magazine subscription order with an entry form is 0.5.

This means that $p = 0.5$

What is the probability that no more than 3 of the entry forms will include an order?

At most 3 including an order, which is:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

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

$P(X = 0) = C_{16,0}.(0.5)^{0}.(0.5)^{16} \approx 0$

$P(X = 1) = C_{16,1}.(0.5)^{1}.(0.5)^{15} = 0.0002$

$P(X = 2) = C_{16,2}.(0.5)^{2}.(0.5)^{14} = 0.0018$

$P(X = 3) = C_{16,3}.(0.5)^{3}.(0.5)^{13} = 0.0085$

Then

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.0002 + 0.0018 + 0.0085 = 0.0105$

0.0105 = 1.05% probability that no more than 3 of the entry forms will include an order.

6 0

2 years ago

You're on a train that's moving forward at 50 mph. You throw a ball in the direction that the train is moving. Relative to you a

dsp73

Answer:

$Velocity = 70mph$

Step-by-step explanation:

Given

$Train = 50mph$

$Ball = 20mph$

Required

How fast is the ball seem to be moving?

This question illustrates relative velocity;

Since the ball and the train moves in the same direction, the required velocity relative to the person standing behind is:

$Velocity = Train + Ball$

i.e. we add both velocities

$Velocity = 50mph + 20mph$

$Velocity = 70mph$

8 0

3 years ago

Solve the inequality:

steposvetlana [31]

Answer:

x >_ 1

Step-by-step explanation:

Solving an inequality is a lot like solving an equation. Just pretend the inequality symbol is an equal sign!

(also i wont be using the _ or equal to symbol because I'm too lazy, so you'll get >_ or <_ for those, sorry)

8 + 4x >_ 12

-8 -8

4x >_ 4

/4 /4

x >_ 1

6 0

3 years ago

Liam has 25 oranges, 15 peaches and 35 pears to make fruit baskets for 1 point

OleMash [197]

you want me to do step by step or just tell you the answer?

Step-by-step explanation:

3 0

2 years ago

Find each unit cost $12 for 4 square yards $3.45 for 3.7 oz $9 for 5 L