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aev [14]
3 years ago
7

7.8 X 103--------------1.2 X 104​

Mathematics
1 answer:
Strike441 [17]3 years ago
5 0

;-;

Let's just do a bunch of math below.

7.8 X 103          ?

-------------- =    ------

1.2 X 104           ?

So, first, we're gonna do 7.8 multiplied by 103 to get 803.4.

Thus....

7.8 X 103         803.4

--------------   =  -----------

1.2 X 104              ?

Then we would do 1.2 multipied with 104 to get a product of 124.8.

Therefore....

7.8 X 103         803.4

--------------   =  -----------

1.2 X 104           124.8

Dividing 803.4 by 124.8 would get you a quotient of 6.4375.

Your answer is 6.3475.~

Have a nice day~

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At a farmers market strawberries cost $1.60 per pint, blueberries cost $2.30 per pint. A shopper bought twice as many pints of s
djverab [1.8K]

<em><u>4 pints of strawberries and 2 pints of blueberries are bought</u></em>

<em><u>Solution:</u></em>

Let "a" be the pints of strawberries bought

Let "b" be the pints of blueberries cost

Cost per pint of strawberry = $ 1.60

Cost per pint of blueberry = $ 2.30

<em><u>A shopper bought twice as many pints of strawberries as pints of blueberries</u></em>

Therefore,

a = 2b --------- eqn 1

<em><u>They spent a total of $11.00. Therefore we frame a equation as:</u></em>

pints of strawberries bought x Cost per pint of strawberry + pints of blueberries cost x Cost per pint of blueberry = 11

a \times 1.60 + b \times 2.30 = 11

1.6a + 2.3b = 11 --------- eqn 2

<em><u>Substitute eqn 1 in eqn 2</u></em>

1.6(2b) + 2.3b = 11

3.2b + 2.3b = 11

5.5b = 11

Divide both sides by 11

b = 2

<em><u>Substitute b = 2 in eqn 1</u></em>

a = 2(2)

a = 4

Thus 4 pints of strawberries and 2 pints of blueberries are bought

5 0
3 years ago
suppose you do a favor for 3 people. then you ask each of them to do a favor for 3 more people, passing along the request that e
Mumz [18]
So until what day do you have to stop or what is your question?
6 0
4 years ago
Help me, I need to answer a question: 50% of 15
harkovskaia [24]
50% is exactly half, so to find half of something you just divide it by 2= 7.5

Or you could multiply it

15 x 0.50=7.5
4 0
3 years ago
Read 2 more answers
Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose t
andrezito [222]

Answer and Step-by-step explanation: For an exponential distribution, the probability distribution function is:

f(x) = λ.e^{-\lambda.x}

and the cumulative distribution function, which describes the probability distribution of a random variable X, is:

F(x) = 1 - e^{-\lambda.x}

(a) <u>Probability</u> of distance at most <u>100m</u>, with λ = 0.0143:

F(100) = 1 - e^{-0.0143.100}

F(100) = 0.76

<u>Probability</u> of distance at most <u>200</u>:

F(200) = 1 - e^{-0.0143.200}

F(200) = 0.94

<u>Probability</u> of distance between <u>100 and 200</u>:

F(100≤X≤200) = F(200) - F(100)

F(100≤X≤200) = 0.94 - 0.76

F(100≤X≤200) = 0.18

(b) The mean, E(X), of a probability distribution is calculated by:

E(X) = \frac{1}{\lambda}

E(X) = \frac{1}{0.0143}

E(X) = 69.93

The standard deviation is the square root of variance,V(X), which is calculated by:

σ = \sqrt{\frac{1}{\lambda^{2}} }

σ = \sqrt{\frac{1}{0.0143^{2}} }

σ = 69.93

<u>Distance exceeds the mean distance by more than 2σ</u>:

P(X > 69.93+2.69.93) = P(X > 209.79)

P(X > 209.79) = 1 - P(X≤209.79)

P(X > 209.79) = 1 - F(209.79)

P(X > 209.79) = 1 - (1 - e^{-0.0143*209.79})

P(X > 209.79) = 0.0503

(c) Median is a point that divides the value in half. For a probability distribution:

P(X≤m) = 0.5

\int\limits^m_0 f({x}) \, dx = 0.5

\int\limits^m_0 {\lambda.e^{-\lambda.x}} \, dx = 0.5

\lambda.\frac{e^{-\lambda.x}}{-\lambda} = -e^{-\lambda.x} + e^{0}

1 - e^{-\lambda.m} = 0.5

-e^{-\lambda.m} = - 0.5

ln(e^{-0.0143.m}) = ln(0.5)

-0.0143.m = - 0.0693

m = 48.46

6 0
4 years ago
What is the scientfic notation of 0.05
vredina [299]

Answer:

5×10⁻²

Step-by-step explanation:

  • Move the decimal so there is one non-zero digit to the left of the decimal point.
  • The number of decimal places you move will be the exponent on the 10. a.  If the decimal is being moved to the right, the exponent will be negative.

        b.  If the decimal is being moved to the left, the exponent will be positive.

  • Therefore. The answer is 5×10⁻²
8 0
3 years ago
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