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3 years ago

If the triangles are congruent,

Mathematics

1 answer:

harkovskaia [24]3 years ago

5 0

Answer:

x = 3

Step-by-step explanation:

If the triangles are congruent then

4x + 1 = 13

4x = 12

x = 3

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I need to find the distance between these two points:

FromTheMoon [43]

I hope this helps you

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3 years ago

After taxes, Liza makes $2,185.76 each month. From that, she has to pay three bills. For the last month, one bill is for $73.49,

Taya2010 [7]

Answer:

the amount left to spend is $740.77

Step-by-step explanation:

The computation of the amount left to spend is as follows:

= Each month payment - last month payment bills

= $2,185.76 - $73.49 - $897.19 - $474.31

= $740.77

Hence, the amount left to spend is $740.77

We simply deduct three amount bills from the each month payment

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3 years ago

Compare the exponential model of population growth with the logistic model.

Pavlova-9 [17]

No picture of graph no answer sorry

8 0

3 years ago

3. A woman deposits Php 23,200 into her account. How much would

nikklg [1K]

Answer:

(assuming simple interest)

I'll setup the problem and you can do the computation

Step-by-step explanation:

The formula for simple interest:

I = P*r*t

P = deposits

r = interest rate per period (a year)

t = number of periods

P = Php 23,200

r = 0.06

t = 1

If you have questions, send me a comment

3 0

3 years ago

A car insurance company has determined that 8% of all drivers were involved in a car accident last year. Among the 15 drivers li

svetlana [45]

Answer:

There is an 11.3% probability of getting 3 or more who were involved in a car accident last year.

Step-by-step explanation:

For each driver surveyed, there are only two possible outcomes. Either they were involved in a car accident last year, or they were not. This means that we solve this problem using binomial probability concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

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

And $\pi$ is the probability of X happening.

In this problem

15 drivers are randomly selected, so $n = 15$ .

A success consists in finding a driver that was involved in an accident. A car insurance company has determined that 8% of all drivers were involved in a car accident last year. This means that $\pi = 0.08$ .

What is the probability of getting 3 or more who were involved in a car accident last year?

This is $P(X \geq 3)$ .

Either less than 3 were involved in a car accident, or 3 or more were. Each one has it's probabilities. The sum of these probabilities is decimal 1. So:

$P(X < 3) + P(X \geq 3) = 1$