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3 years ago

Cos87°cos33° - sin87°sin33°

Mathematics

1 answer:

alina1380 [7]3 years ago

6 0

Answer:

- $\frac{1}{2}$

Step-by-step explanation:

cos(87° + 33°) = cos(120°) = - $\frac{1}{2}$

You might be interested in

What is the common factor in the expression A-2 B-3 C-5 D-10

mamaluj [8]

Answer:

C-5

Step-by-step explanation:

5- 1/5

20-4/5

30-5/6

7 0

3 years ago

Read 2 more answers

A) Patty Stacey deposits $2600 at the end of each of 5 years in an IRA. If she leaves the money that has accumulated in the IRA

ruslelena [56]

Answer:

From the question, Stacey deposits $2600 six times over a thirty year period since she makes the deposit every five years. Her amount accures by the formular. A = P(1+r/n)^nt. Where her principal P = $2,600. Rate, r =6% =0.06. Time = 30 years and the period of compounding per unit time, n = 6 years. So we have A =2, 600(1+(0.06/6))^(6*30) = 2, 600 (1 + 0.01)^(180) = 2600* 5.9958 = $15, 587. To the nearest cent we have $15, 590.

Step-by-step explanation:

8 0

2 years ago

Rx h= ax-k solve for x

joja [24]

Rx h= ax-k
Rxh−ax=−k
x(rh−a)=−k ( here i took the common one out ..)
x = - k/ rh-a

Hope it helps !!!

5 0

3 years ago

According to New Jersey Transit, the 8:00 A.M. weekday train from Princeton to New York City has a 90% chance of arriving on tim

jonny [76]

Answer:

See explanation below.

Step-by-step explanation:

Assuming this problem: "According to New Jersey Transit, the 8:00 A.M. weekday train from Princeton to New York City has a 90% chance of arriving on time on a randomly selected day. Suppose this claim is true. Choose 6 days at random. Let W = the number of days on which the train arrives late. "

For this case we can check if the binomial model can be used checking conditions:

1) We satisfy that we have independent trials and is assumed for this case

2) We have a fixed value for the trials n =6 and for the probability p = 0.9 on each trial

3) We have bernoulli experiments on each trial since we have success or failure for each case.

So then since all the conditions are satisfied we can assume that the binomial model can be used here.

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".

Let W the random variable of interest "the number of days on which the train arrives late", on this case we now that:

$W \sim Binom(n=6, p=0.9)$

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:

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

We can find all the possible probabilities for all the possible values of X like this:

$P(X=0)=(6C0)(0.9)^0 (1-0.9)^{6-0}=1x10^{-6}$

$P(X=1)=(6C1)(0.9)^1 (1-0.9)^{6-1}=5.4x10^{-5}$

$P(X=2)=(6C2)(0.9)^2 (1-0.9)^{6-2}=0.001215$

$P(X=3)=(6C3)(0.9)^3 (1-0.9)^{6-3}=0.01458$

$P(X=4)=(6C4)(0.9)^4 (1-0.9)^{6-4}=0.0984$

$P(X=5)=(6C5)(0.9)^5 (1-0.9)^{6-5}=0.354$

$P(X=5)=(6C5)(0.9)^6 (1-0.9)^{6-6}=0.531$

4 0

3 years ago

A certain company's main source of income is selling socks. The company's annual profit (in millions of dollars) as a function o

ivann1987 [24]

A quadratic function models the profit of the company and the maximum/minimum value of the quadratic function occurs on its vertex.

The given function is:

$P(x)=-3(x-5)^{2}+12$

The equation is already in standard form, the vertex of the parabola as seen from the equation is (5,12)

This mean if the company sets the price of socks to $5 they will earn a maximum profit which is $ 12 million

3 0

3 years ago

Read 2 more answers