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2 years ago

A leasing agent makes $23 an hour for the first 10 hours he works during a

Mathematics

1 answer:

skelet666 [1.2K]2 years ago

3 0

Answer:

I believe the answer is A

Step-by-step explanation:

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The value of Julie's savings account can be modeled by the function S(x) = 5,000(1.025)0.7x, where x is the number of years sinc

Burka [1]

Answer:

Step-by-step explanation:

from the formula given, the part "(1.025)" would be the growth factor or rate.

This part has a formula:

(1 + r)

where r is rate

So substituting, we get:

$1.025 = 1 + r\\1.025 - 1 = r\\r = 0.025$

So, in pecentage, we have to multiply, thus we get:

0.025 * 100 = 2.5%

Answer choice #3

7 0

2 years ago

A home security system is designed to have a 99% reliability rate. Suppose that nine homes equipped with this system experience

qaws [65]

Answer:

100% probability that least one of the alarms is triggered.

Step-by-step explanation:

For each alarm, there are only two possible outcomes. Either they are triggered, or they are not. The probability of an alarm being triggered is independent from other alarms. So we use the binomial probability distribution 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.

A home security system is designed to have a 99% reliability rate.

This means that $p = 0.99$

Suppose that nine homes equipped with this system experience an attempted burglary.

This means that $n = 9$

Find the probability that least one of the alarms is triggered.

This is $P(X \geq 1)$

We know that either no alarms are triggered, or at least one is. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

$P(X \geq 1) = 1 - P(X = 0)$

In which

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

$P(X = 0) = C_{9,0}.(0.99)^{0}.(0.01)^{9} \cong 0$

1 - 0 = 1

100% probability that least one of the alarms is triggered.

6 0

2 years ago

What is the sum of the exterior angle measures, one at each vertex, of a convex heptagon?

kvv77 [185]

The sum of the exterior angles is the same as the sum of the interior angles.
<span>Sum of Interior Angles = (Number of Sides -2) • 180 degrees
</span><span>Sum of Interior Angles = (7-2) * 180 = 900 Degrees

Source:
http://www.1728.org/polygon.htm

</span>

8 0

2 years ago

Steph makes 90\%90%90, percent of the free throws she attempts. She is going to shoot 333 free throws. Assume that the results o

nikitadnepr [17]

Answer:

0.03

Step-by-step explanation:

khan:)

7 0

2 years ago

Read 2 more answers

What is the absolute value of the complex number Negative 4 minus StartRoot 2 EndRoot i?