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3 years ago

Simplify using mental math 7 / 10 + 2 / 5 - 1 / 10

2 answers:

5 0

Common denominator first. multiply 2/5 by 2 in the top and bottom so they all have a denominator of 10

7/10+4/10-1/10=10/10

10/10=1

emmasim [6.3K]3 years ago

5 0

Assuming mental math still follows the order of operations, you have
$\frac{7}{10} + \frac{4}{10} - \frac{1}{10} = \frac{10}{10} = 1$

So the answer is 1.

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A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the sma

Anit [1.1K]

The first equation gives:

y = 2 * (x + 3) >>> y = 2x + 6

2x - y = -6

The second sentence gives:

y = 5 + 3x >>> 3x - y = -5

The answer is (A), the first choice.

5 0

3 years ago

Read 2 more answers

A LOT OF POINTS pls help and answer correctly if not I will report ty asap !

Solnce55 [7]

Answer:

hey

Step-by-step explanation:

to calculate perimeter, you require length,breadth

since points are given,find distance between points using distance formulae

______________________

<h3>Point H =(6,7)</h3><h3>Point I=(-6,-9)</h3><h3>Point J=(-10,-6)</h3><h3>Point G=2,10)</h3>

Now find distance between HI and IJ

HI gives the distance - length of rectangle

IJ gives the distance - breadth of rectangle

use the formulae ,2(length+breadth) to get perimeter

______________________

HI= root over 144+256= root 400

HI=20

IJ= root over 16+9= root 25

IJ=5

PERIMETER =2(20+5)

2×25

=50

6 0

3 years ago

Birds arrive at a birdfeeder according to a Poisson process at a rate of six per hour.

m_a_m_a [10]

Answer:

a) time= $10 \frac{1}{6}=\frac{10}{6}=1.67 hours$

b) $P(T\geq 0.25h)=e^{-(6)0.25}=0.22313$

c) $P(T\leq 0.0833)=1-e^{-(6)0.0833}=0.39347$

Step-by-step explanation:

Definitions and concepts

The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:

$P(X=x) =\lambda^x \frac{e^{-\lambda}}{x!}$

And the parameter $\lambda$ represent the average ocurrence rate per unit of time.

The exponential distribution is useful when we want to describ the waiting time between Poisson occurrences. If we assume that the random variable T represent the waiting time btween two consecutive event, we can define the probability that 0 events occurs between the start and a time t, like this:

$P(T>t)= e^{-\lambda t}$

a. What is the expected time you would have to wait to see ten birds arrive?

The original rate for the Poisson process is given by the problem "rate of six per hour" and on this case since we want the expected waiting time for 10 birds we have this:

time= $10 \frac{1}{6}=\frac{10}{6}=1.67 hours$

b. What is the probability that the elapsed time between the second and third birds exceeds fifteen minutes?

Assuming that the time between the arrival of two birds consecutive follows th exponential distribution and we need that this time exceeds fifteen minutes. If we convert the 15 minutes to hours we have 15(1/60)=0.25 hours. And we want to find this probability:

$P(T\geq 0.25h)$

And we can use the result obtained from the definitions and we have this:

$P(T\geq 0.25h)=e^{-(6)0.25}=0.22313$

c. If you have already waited five minutes for the first bird to arrive, what is the probability that the bird will arrive within the next five minutes?

First we need to convert the 5 minutes to hours and we got 5(1/60)=0.0833h. And on this case we want a conditional probability. And for this case is good to remember the "Markovian property of the Exponential distribution", given by :

$P(T \leq a +t |T>t)=P(T\leq a)$

Since we have a waiting time for the first bird of 5 min = 0.0833h and we want that the next bird will arrive within 5 minutes=0.0833h, we can express on this way the probability of interest:

$P(T\leq 0.0833+0.0833| T>0.0833)$