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madam [21]
3 years ago
10

An arithmetic sequence has a common difference of 2 and contains the value 86 at some point in the sequence. Which of the follow

ing recursive formulas could represent this sequence?
Group of answer choices

an = an – 1 + 2; a1 = 1

an = an – 1 + 2; a1 = 2

an = an – 1 + 1; a1 = 2

an = an – 1 + 1; a1 = 1
Mathematics
1 answer:
shusha [124]2 years ago
3 0

Answer:

B. a_{n} = a_{n-1}+2; a_{1} = 2

Step-by-step explanation:

According to the statement, we find that the following two conditions must be observed:

a_{i} = 86 (Eq. 1)

a_{i}-a_{i-1} = 2 (Eq. 2)

Since the difference between two even numbers leads to another even number. Hence, a_{1} must be an even number and the correct answer is B.

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He takes a random sample of 49 recent charterholders and computes a mean salary of $172,000 with a standard deviation of $35,000
uysha [10]

Answer:

the 90% of confidence intervals for the average salary of a CFA charter holder

 (1,63,775 , 1,80,000)

Step-by-step explanation:

<u>Explanation</u>:-

random sample of n = 49 recent charter holders

mean of sample (x⁻) =  $172,000

standard deviation of sample( S) = $35,000

Level of significance α= 1.645

<u> 90% confidence interval</u>

(x^{-} - Z_{\alpha } \frac{s}{\sqrt{n} } , x^{-} + Z_{\alpha } \frac{s}{\sqrt{n} })

(172000 - 1.645 \frac{35000}{\sqrt{49} } , 172000 +1.645 \frac{35000}{\sqrt{49} })

on calculation , we get

(1,63,775 , 1,80,000)

The mean value lies between the 90% of confidence intervals

(1,63,775 , 1,80,000)

4 0
3 years ago
- Draw a line AB 8 cm long. What is the locus of a point C such that the angle ACB is always a right angle?​
bagirrra123 [75]

Answer:

1)Air transportation:Air Transportation

Transportation mode

Air transportation means the business of transporting natural persons, property, cargo and mail by aircraft. ... Air transportation means the operation of a transportation system by aircraft for the carriage of persons, property and mail, including activities reasonably necessary to such operation.

2)Road transportation:Road transport or road transportation is a type of transport using roads. Transport on roads can be roughly grouped into the transportation of goods and transportation of people. In many countries licensing requirements and safety regulations ensure a separation of the two industries

3)Rail transportation:Rail transport is a means of transferring passengers and goods on wheeled vehicles running on rails, which are located on tracks. In contrast to road transport, where the vehicles run on a prepared flat surface, rail vehicles are directionally guided by the tracks on which they run.

4)Water transportation:Water transportation is the intentional movement of water over large distances. Methods of transportation fall into three categories: Aqueducts, which include pipelines, canals, tunnels and bridges. ... Towing, where a tugboat is used to pull an iceberg or a large water bag along behind it.

5 0
2 years ago
Given a≠±b and a^2−b^2 / a+b =12, find a−b.<br> pls hlep
Readme [11.4K]

Answer:

a - b = 12

Step-by-step explanation:

Given

\frac{a^2-b^2}{a+b} = 12 ← factor the numerator

a² - b² ← is a difference of squares and factors as

a² - b² = (a - b)(a + b)

Thus

\frac{(a-b)(a+b)}{a+b} = 12

Cancel the common factor (a + b) on numerator/ denominator, thus

a - b = 12

7 0
3 years ago
WILL GIVE BRAINLIEST
xenn [34]

Answer:

C. 846 in.^2

Step-by-step explanation:

Look at the net.

There is one rectangle that is (21 + 3 + 21 + 3) inches long. Its length is 48 inches long. Its width is 15 inches.

There there are two small rectangles. Both are 3 inches wide and 21 inches long. The total length is (21 + 21) inches = 42 inches

total area = 48 in. * 15 in. + 42 in. * 3 in.

total area = 720 in.^2 + 126 in. * 3 in.

total area = 846 in.^2

7 0
3 years ago
How do i find the slope-<br> 20 points answer!<br> [imagine below included!]
Dafna11 [192]

Answer:

3/3 = 1

Step-by-step explanation:

The slope formula is..

Pick two formulas. Let's do (-5, -2) and (-2, 1)

x1  y1   x2 y2

(-5, -2)   (-2, 1)

\frac{1-(-2)}{-2-(-5)}    =   \frac{3}{3}  = 1

It'll work the same thing for (-2, 1) and (1,4)...

3/3 or 1 is a pattern between the points.

 

5 0
2 years ago
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