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3 years ago

12

Ian ran 12.6 km in the morning. After lunch, he continued running. When he finished the run, he had covered 32.9 km in all. Wr

ite an equation that can be used to find how far Ian ran after lunch.

1 answer:

Anna11 [10]3 years ago

8 0

It’s 1.9 and it’s true and right

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An apartment complex rents an average of 2.3 new units per week. If the number of apartment rented each week Poisson distributed

masya89 [10]

Answer:

$P(X\leq 1) = 0.331$

Step-by-step explanation:

Given

Poisson Distribution;

Average rent in a week = 2.3

Required

Determine the probability of renting no more than 1 apartment

A Poisson distribution is given as;

$P(X = x) = \frac{y^xe^{-y}}{x!}$

Where y represents λ (average)

y = 2.3

<em>Probability of renting no more than 1 apartment = Probability of renting no apartment + Probability of renting 1 apartment</em>

<em />

Using probability notations;

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

Solving for P(X = 0) [substitute 0 for x and 2.3 for y]

$P(X = 0) = \frac{2.3^0 * e^{-2.3}}{0!}$

$P(X = 0) = \frac{1 * e^{-2.3}}{1}$

$P(X = 0) = e^{-2.3}$

$P(X = 0) = 0.10025884372$

Solving for P(X = 1) [substitute 1 for x and 2.3 for y]

$P(X = 1) = \frac{2.3^1 * e^{-2.3}}{1!}$

$P(X = 1) = \frac{2.3 * e^{-2.3}}{1}$

$P(X = 1) =2.3 * e^{-2.3}$

$P(X = 1) = 2.3 * 0.10025884372$

$P(X = 1) = 0.23059534055$

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

$P(X\leq 1) = 0.10025884372 + 0.23059534055$

$P(X\leq 1) = 0.33085418427$

$P(X\leq 1) = 0.331$

Hence, the required probability is 0.331

6 0

2 years ago

This isosceles triangle has two sides of equal length , a, that are longer than the length of the base , b. The perimeter of the

Sholpan [36]

We are give the equation of the perimeter of the triangle as follows:
2a + b = 15.7
where b represents the base.

Now, if we want to calculate the length of the base, all we have to do is isolate the b in one side of the equation as follows:
b = 15.7 - 2a

We know that a = 6.3 cm, therefore, the length of the base can be calculated as follows:
b = 15.7 - 2(6.3) = 3.1 cm

4 0

3 years ago

A. cm³<br> B. cm²<br> C. cm <br><br><br> ASAP

True [87]

I would say b... hope this helps!!!!!!!

6 0

3 years ago

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Carmine mixes 2.8 pounds of cashews with almonds to make a trail mix. He divides the trail mix into 5 equal portions. Each porti

expeople1 [14]

Answer:

I think its choice C

Step-by-step explanation:

Because it makes more sense to me

5 * 1.5 to get 7.5, which is total pounds

7.5 - 2.8 to get how many almonds

= 4.7

Choice C makes the most sense to get that answer

i'm only in 5th grade so tell me if i'm wrong ill be ok with that

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2 years ago

To multiply a decimal number by 1,000, move the decimal point _____. three places to the left three places to the right four pla

melamori03 [73]

The number 1000 has three zeros which will move the decimal three times. But what in direction?

Well, when we multiply a number by 10, we move the decimal one place to the left.

So, the answer is three places to the left.

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2 years ago

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