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alisha [4.7K]
4 years ago
12

Ray Horton is a laborer he earns $16.25 per hour how many hours per week must he work if he wants to earn approximately $585.00

per week
Mathematics
1 answer:
Andreas93 [3]4 years ago
7 0

Answer:

36 Hours

Step-by-step explanation:

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Express in terms of logarithm without exponents
sdas [7]
\bf log_{{  a}}(xy)\implies log_{{  a}}(x)+log_{{  a}}(y)
\\ \quad \\
% Logarithm of rationals
\\ \quad \\
% Logarithm of exponentials
log_{{  a}}\left( x^{{  b}} \right)\implies {{  b}}\cdot  log_{{  a}}(x)\\\\
-----------------------------\\\\
log_b(xy^2z^{-6}\implies log_b(x)+log_b(y^2)+log_b(z^{-6})
\\\\\\log_b(x)+2log_b(y)-6log_b(z)

now, the one below that, which is equivalent to that? well, just look above it
6 0
3 years ago
Find a1, for the given geometric series. Round to the nearest hundredth if necessary. Sn= 86,830, r= 2.2, n=4
larisa86 [58]

Answer:

4,646.30

Step-by-step explanation:

The sum of n terms of geometric sequence can be calculated using formula

S_n=\dfrac{a_1(1-r^n)}{1-r}

In your case,

S_n=86,830\\ \\r=2.2\\ \\n=4\\ \\a_1=?

Substitute into the formula:

S_4=\dfrac{a_1(1-2.2^4)}{1-2.2}\\ \\86,830=\dfrac{a_1(1-23.4256)}{-1.2}\\ \\-104,196=a_1(-22.4256)\\ \\22.4256a_1=104,196\\ \\a_1=\dfrac{104,196}{22.4256}\approx 4,646.30

5 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
out of 30 students surveyed 17 have a dog based on these results predict how many of the 300 students in the school have a dog
Ira Lisetskai [31]
The whole school would have 170 students that have a dog
7 0
3 years ago
Read 2 more answers
What is the initial value in the equation f(x) = 350(1 - 0.12)^x? *
kvasek [131]

Given:

The function is:

f(x)=350(1-0.12)^x

To find:

The initial value of the function.

Solution:

We have,

f(x)=350(1-0.12)^x

The value of the function at x=0 is called the initial value of the function.

For x=0, we get

f(0)=350(1-0.12)^0

f(0)=350(0.88)^0

Clearly 0.88 is a non zero number and zero to the power of a non zero number is always 1.

f(0)=350(1)

f(0)=350

Therefore, the initial value of the function is 350.

5 0
3 years ago
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