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Arlecino [84]
3 years ago
10

There are 25 trees on the Jackson’s property. Twenty percent of the trees are oak trees. Which equation can be used to find the

number of oak trees on the property?
Mathematics
1 answer:
belka [17]3 years ago
7 0

Answer:

See below

Step-by-step explanation:

Number of oak trees

=  \frac{25}{100}  \times 25 \\

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Step-by-step explanation:

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Find the angle θ between u = <7, –2> and v = <–1, 2>.
Dmitry_Shevchenko [17]

The angle between two vectors is:

CosФ = u - v / Magnitude(u) x magnitude(v)

Magnitude of u = SQRT(7^2 + -2^2) = SQRT(49 +4) = SQRT(53)

Magnitude of v = SQRT(-1^2 +2^2) = SQRT(1 +4) = SQRT(5)

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A food company sells salmon to various customers. The mean weight of the salmon is 37 lb with a standard deviation of 2 lbs. The
brilliants [131]

Answer:

The standard deviation for the mean weigth of Salmon is 2/3 lbs for restaurants, 2/7 lbs for grocery stores and 1/4 lbs for discount order stores.

Step-by-step explanation:

The mean sample of the sum of n random variables is

\overline{X} = \frac{X_1+X_2+...+X_n}{n}

If X_1, ..., X_n are indentically distributed and independent, like in the situation of the problem, then the variance of X_1 + .... + X_n will be the sum of the variances, in other words, it will be n times the variance of X_1 .

However if we multiply this mean by 1/n (in other words, divide by n), then we have to divide the variance by 1/n², thus \overkine{X} = \frac{V(X_1)}{n} and as a result, the standard deviation of \overline{X} is the standard deviation of X_1 divided by \sqrt{n} .

Since the standard deviation of the weigth of a Salmon is 2 lbs, then the standard deviations for the mean weigth will be:

  • Restaurants: We have boxes with 9 salmon each, so it will be \frac{2}{\sqrt{9}} = \frac{2}{3}
  • Grocery stores: Each carton has 49 salmon, thus the standard deviation is \frac{2}{\sqrt{49}} = \frac{2}{7}
  • Discount outlet stores: Each pallet has 64 salmon, as a result, the standard deviation is \frac{2}{\sqrt{64}} = \frac{1}{4}

We conclude that de standard deivation of the mean weigth of salmon of the types of shipment given is: 2/3 lbs for restaurants, 2/7 lbs for grocery stores and 1/4 lbs for discount outlet stores.

7 0
3 years ago
What is the explicit rule for the sequence? −3, 0,3,6,9,... Enter your answer in the box.
PtichkaEL [24]

Answer:

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Step-by-step explanation:

<u>Given sequence:</u>

  • −3, 0,3,6,9,...

<u>This is AP with:</u>

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  • Common difference d = 3

<u>The rule for the nth term of the sequence is:</u>

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<u>Substitute values:</u>

  • aₙ = -3 + (n - 1)(3) =
  •       -3 + 3n - 3 =
  •        3n - 6

3 0
3 years ago
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