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Nadusha1986 [10]
2 years ago
11

4) An arithmetic sequence has a 7th term of 54 and a 13th term of 94. Find the common difference

Mathematics
1 answer:
san4es73 [151]2 years ago
6 0

Answer:

20/3

Step-by-step explanation:

Every nth term takes the form of  a + n*d, where a is the first  term.

So 7th term = (54 = a + 7d), 13th term = (94 = a + 13d).

equate them both:

94 - 13d = 54 - 7d

40 = 6d

d = 40/6

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g A car company is testing a new type of tire. They want to determine the stopping distance if the car has anti-lock brakes or n
Keith_Richards [23]

Answer:

Road conditions

Step-by-step explanation:

The factor that should be mostly considered in this case is the Road conditions, that way the tyre with the best stopping distance can be determined.

6 0
2 years ago
A rocket is divided into three sections. The top section is one-eighth the length of the bottom section. The middle section is o
Ahat [919]

Answer:

312 ft

Step-by-step explanation:

The steps are as follows :

1. The problem can be described as an equation

x +  \frac{1}{2}x +  \frac{1}{8}x = 312

2. Convert all values on the left side into their equivalent fractional values

\frac{8}{8}x  +  \frac{4}{8}x +  \frac{1}{8} x = 312

3. Combine like terms

\frac{13}{8} x = 312

4. Multiply both sides by the reciprocal of 13/8 to isolate variable X

concept \:  \:  \: ({ \frac{8}{13}  \times  \frac{13}{8} }) = 1

\frac{8}{13} \times  \frac{13}{8}x  = 312 \: \times  \frac{8}{13}

5. Simplify

x = 192

6. Check answer by using it in the original equation

(192) +  \frac{1}{2}(192) +  \frac{1}{8} (192) = 312

4 0
2 years ago
8.3.7 From the data on the pH of rain in Ingham County, Michigan: 5.47 5.37 5.38 4.63 5.37 3.74 3.71 4.96 4.64 5.11 5.65 5.39 4.
Step2247 [10]

Answer:

95% Confidence Interval: 4.7 ± 1.57

3 0
2 years ago
Is the statement "Two matrices are row equivalent if they have the same number of rows" true or false? Explain. A. True, because
vlabodo [156]

Answer: The answer is (C).


Step-by-step explanation: The given statement is - "Two matrices are row equivalent if they have the same number of rows". We are to explain whether the statement is true or false.

What are row equivalent matrices? The answer to this question is -

Two matrices are said to be row equivalent if one of the matrices can be obtained from the other by applying a number of elementary row operations. Or, we can say two matrices of same order are row equivalent if they have same row space.

Thus, the correct option is (C).



7 0
2 years ago
An auction website charges $1 for a bid. The bidding starts at 1¢ and goes up 1¢ at a time. A television that is worth $2000 is
zaharov [31]
160 in 1¢ steps means 16,000 bids so you invest $1 with a 1/16000 probability<span> of a $2000 return the expected value (in dollars) is ___ -1 + [(1/16000) * 2000)] this is why auction websites exist
THIS MEANS 
</span>it is a 1/16,000 chance of earning<span> 1,999 while there is a 15,999 chance of losing a dollar so find 1/16000 which is 0.0000625 so do 1-0.0000625=.9999375 so .9999375*-1=-.9999375+(1999*.0000625=.1249375+-.9999375=0.875 </span>

7 0
2 years ago
Read 2 more answers
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