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3 years ago

15 POINTS - What is the value of the expression when y=2? See image.

Mathematics

1 answer:

artcher [175]3 years ago

6 0

Answer:

Step-by-step explanation:

The given expression is;

$\frac{2-y}{4+y}+\frac{3(y+2)}{y}$

When y=2, the expression becomes;

$\frac{2-2}{4+2}+\frac{3(2+2)}{2}$

This simplifies to;

$\frac{0}{6}+\frac{3(4)}{2}$

$0+3(2)$

Multiply to get;

$0+6=6$

The value of the expression when y=2 is 6.

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Cathy uses 3/4 teaspoon of vanilla in a batch of cookies. How many teaspoons are needed for 8 batches of cookies

34kurt

6 teaspoons
3/4 * 8 is 24/4
24/4= 6
So you need 6 teaspoons

8 0

3 years ago

A baker can make 120 cupcakes in 2 hours. At that rate, how many cupcakes can he make in 3.5 hours? *

Valentin [98]

Answer:

210

Step-by-step explanation:

first I took 120 and divided by four to show how many cupcakes he can make in thirty minutes (.5 of an hour). this was 30. the reason we divided by four is because in two hours theres four halves.

120÷4=30 for half an hour

30x2=60 this is how many cupcakes he can make in one hour

since we already know how many he makes in two hours we're going to use that

120+60=180 (three hours)

120+60=180 (three hours)180+30 (half an hour) =210

4 0

3 years ago

X^2+y^2-4x+2y=b <br>what is b?

Zina [86]

First of all youre not going to get a direct answer to all of these questions, youre going to have 3 finally equations(because thats the amount of variables you have).

8 0

4 years ago

A Department of Transportation survey showed that 60% of U.S. residents over 65 years of age oppose use of cell phones in flight

Shalnov [3]

Answer:

a) $P(X=12)=(25C12)(0.6)^{12} (1-0.6)^{25-12}=0.0760$

b) $P(X>17) = P(X=18) +....+P(X=25)$

And we can use the following excel code: "=1-BINOM.DIST(17;25,0.6,TRUE)"

And we got:

$P(X>17) = P(X=18) +....+P(X=25)= 0.154$

c) $P(X$

And using the following excel code we got: "=BINOM.DIST(7,25,0.6,TRUE)"

And we got:

$P(X$

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

Part a

$P(X=12)=(25C12)(0.6)^{12} (1-0.6)^{25-12}=0.0760$

Part b

For this case we want this probability:

$P(X>17) = P(X=18) +....+P(X=25)$

And we can use the following excel code: "=1-BINOM.DIST(17,25,0.6,TRUE)"

And we got:

$P(X>17) = P(X=18) +....+P(X=25)= 0.154$

Part c

For this case we want this probability:

$P(X$

And using the following excel code we got: "=BINOM.DIST(7,25,0.6,TRUE)"

And we got:

$P(X$

4 0

3 years ago

Which of the following points could be the initial point of vector v if it has a magnitude of 10 and the terminal point (-2,4)?

podryga [215]

Use the distance formula;
10=√(-2-x)²+(4-y)²
Now put the options one by one into the above equation;
you find that option b satisfies the equation which is the correct answer.

4 0

4 years ago

Read 2 more answers