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Leya [2.2K]
2 years ago
8

F(1)=2f(n+1) = f(n)+4What is f(10)?

Mathematics
1 answer:
diamong [38]2 years ago
8 0

9514 1404 393

Answer:

  38

Step-by-step explanation:

The recursion relation describes an arithmetic sequence with a first term of 2 and a common difference of 4. The explicit formula for the n-th term of the sequence is ...

  f(n) = f(1) +d(n -1) . . . . . for first term f(1) and difference d

  f(n) = 2 +4(n -1) = 4n -2

Then the 10th term is ...

  f(10) = 4(10) -2

  f(10) = 38

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The average summer temperature in Anchorage is 69°F. If the daily temperature is normally distributed with a standard deviation
mafiozo [28]

Answer:

81.85%

Step-by-step explanation:

Given :

The average summer temperature in Anchorage is 69°F.

The daily temperature is normally distributed with a standard deviation of 7°F .

To Find:What percentage of the time would the temperature be between 55°F and 76°F?

Solution:

Mean = \mu = 69

Standard deviation = \sigma = 7

Formula : z=\frac{x-\mu}{\sigma}

Now At x = 55

z=\frac{55-69}{7}

z=-2

At x = 76

z=\frac{76-69}{7}

z=1

Now to find P(55<z<76)

P(2<z<-1)=P(z<2)-P(z>-1)

Using z table :

P(2<z<-1)=P(z<2)-P(z>-1)=0.9772-0.1587=0.8185

Now percentage of the time would the temperature be between 55°F and 76°F = 0.8185 \times 100 = 81.85\%

Hence If the daily temperature is normally distributed with a standard deviation of 7°F, 81.85% of the time would the temperature be between 55°F and 76°F.

7 0
2 years ago
Which best explains why this triangle is or is not a right triangle?
erastovalidia [21]

Answer:

<h2>This triangle is a right triangle:</h2><h2>36² + 15² = 39².</h2>

Step-by-step explanation:

If a ≤ b <c is the length of the sides of a right triangle, then:

a^2+b^2=c^2

We have

a=15\ in,\ b=36\ in,\ c=39\ in

Check the equality:

L_s=15^2+36^2=225+1296=1521

R_s=39^2=1521

L_s=R_s

It's a right triangle.

6 0
3 years ago
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Semmy [17]

Answer:

Yes and she would have $2 left over because all the food costs $91.

Step-by-step explanation:

We should set up an equation so that everything makes sense. A calculator would be wise for this problem, but I am going to lay it out anyhow.

We should convert the mixed numbers to improper fractions to not be confused. 3 1/2 becomes 7/2 or 3.5 and 2 1/3 becomes 7/3.

From your wording, we can assume that the money Mrs. Donnelly has is either greater than or equal to $93.

Thus, we have 12*(7/3) + 18*(7/3) is equal to or greater than 93 (this is an inequality).

The math shows that the food costed 91 and so she only has $2 left.

7 0
3 years ago
A submarine is 1,275.5 feet below sea level. It dives down 215.5 feet and then rises 125.5 feet. Finally, the sub dives down ano
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2 years ago
X^2+12x-20/3x-5 = x^2+8x+12/2x+3
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Answer:

In attachment I have answered this problem.

8 0
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