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irina1246 [14]
2 years ago
8

Find m∠U. Write your answer as an integer or as a decimal rounded to the nearest tenth.

Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
4 0

Answer:

m∠U.=50.2

Step-by-step explanation:

Answer:

50.2

Step-by-step explanation:

ut =  \sqrt{ {6}^{2}  +  {5}^{2} }   \\  \sqrt{36 + 25}  \\  \sqrt{61 }  \\ using \: cosine \: rule \\ cos \: u =  \frac{ {5}^{2} + 61 - 36 }{2 \times 5 \times  \sqrt{61} }  \\  \\  =  \frac{25 + 61 - 36}{78}  \\  \\  = \frac{50}{78 }  \\  \cos \: u = 0.64 \\ m \:u = 50.2

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Suppose you invest 2500 at an annual interest rate of 7.5% compounded annually how much will you have in the account after 10 ye
Mnenie [13.5K]

Answer:

<u>The future value of this investment after 10 years is US$  5,152.58</u>

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Investment = US$ 2,500

Annual interest rate = 7.5% compounded annually

Duration of the investment = 10 years

2. Let's find the future value of this investment after 10 years, using the following formula:

FV = PV * (1 + r) ⁿ

Replacing with the real values, we have:

FV = 2,500 * (1 + 0.075) ¹⁰

FV = 2,500 * 1.0075¹⁰

FV = 2,500 * 2.06103

<u>FV = US$ 5,152.58</u>

5 0
4 years ago
If you run a mile in 12 minutes, how fast are you running in miles per hour?
butalik [34]
1 mile in 12 minutes
x miles in 60 minutes

\frac{1}{12} = \frac{x}{60}\\\\12x = 60(1)\\\\x = 5

You are running at 5 miles per hour.
8 0
4 years ago
If a car agency sells 50% of its inventory of a certain foreign car equipped with side airbags, find a formula for the probabilit
antiseptic1488 [7]

Answer:

Let X the random variable of interest "number of cars with side airbags among the next 4", on this case we now that:

X \sim Binom(n=4, p=0.5)

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!}

And the distribution is given by:

P(X)= (4CX) (0.5)^x (1-0.5)^{4-x}

With X=0,1,2,3,4

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".

Solution to the problem

Let X the random variable of interest "number of cars with side airbags among the next 4", on this case we now that:

X \sim Binom(n=4, p=0.5)

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!}

And the distribution is given by:

P(X)= (4CX) (0.5)^x (1-0.5)^{4-x}

With X=0,1,2,3,4

3 0
3 years ago
Read 2 more answers
Taylor can clean pools at a constant rate of pools per hour. How
Bogdan [553]

Answer:

it depends on how many he can clean in a single hour.

if he cleans 2/5 pools thats 10 pools in 25 hours

Step-by-step explanation:

if he cleans one pool per hour, thats 25 pools in 25 hours. if he can clean 4 pools an hour, thats 100 pools in 25 hours.

3 0
3 years ago
What is 372.23 times 53
Reil [10]
The answer would be 19,728.19
5 0
3 years ago
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