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iragen [17]
3 years ago
9

Margot is looking at some information for the obstacle course she is interested in completing. The x-coordinate is the number of

the obstacle, while the y-coordinate is the average time to complete the obstacle, measured in minutes. (1, 6.25), (2, 6.875), (3, 7.5625), (4, 8.31875) Help Margot use an explicit formula to find the average time she will need for the 8th obstacle.
Mathematics
2 answers:
OverLord2011 [107]3 years ago
5 0

Answer:

f(8) = 1.1(6.25)8; f(8) = 2561137

lukranit [14]3 years ago
3 0

Answer:  f(8) = 6.25(1.1)^7 ; f(8) = 12.179

Step-by-step explanation: (I got it right on the test)

(1, 6.25), (2, 6.875), (3, 7.5625), (4, 8.31875)

r= 1.1  

f(1) = 6.25 / starting number

1. Since it is multiplying each number by 1.1 it is using the Geometric Explicit Formula:

f(n)= f(1) x r ^n-1

f(8) = 6.25 x 1.1 ^(8-1)

f(8) = 6.25 x 1.1 ^7

f(8) = 6.25 x 1.9487171

<u>f(8) = 12.179</u>

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Strike441 [17]

Answer: 76

Step-by-step explanation:

well, we know that 15% of the X is 12, so we first use 6 15%, which is 90% 6X12=72. next, we would use 12/3, which is 4. 72+4=76.

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2 years ago
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Which statement is true?
gayaneshka [121]

Answer:

Option: C is the correct answer.

C. Buying a needle and buying thread are dependent events.

Step-by-step explanation:

let A denotes the events of buying a thread.

and B denote the event of buying a needle.

Then A∩B denote the event of buying a needle and  a thread.

Also let P denote the probability of an event.

i.e. we are given:

P(A)=0.15

Also P(B|A)=0.25

As we know that:

P(B|A)=\dfrac{P(A\bigcap B)}{P(A)}\\\\i.e.\\\\0.25=\dfrac{P(A\bigcap B)}{0.15}\\\\i.e.\\\\P(A\bigcap B)=0.0375

As we know that when two events A and B are independent then,

P(A∩B)=∅

otherwise they are dependent events.

Hence, option: C is the correct answer.

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3 years ago
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Find the area (in square inches) of the parallelogram.
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<h2>864 inches²</h2>

Step-by-step explanation:

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3 ft = 36 inch

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3 years ago
(12x + y + z = 26
mel-nik [20]

Option D. D has the matrix of constants [[12], [11], [4]].

Step-by-step explanation:

Step 1:

With the given equations, we can form matrices to represent them.

The coefficients of x, y, and z form a matrix of order 3 ×3, the variables x, y, and z form a matrix of order 1 ×3 and the constants form a matrix of order 1 ×3.

Step 2:

The linear system A is represented as

\left[\begin{array}{ccc}12&1&1\\1&-11&0\\1&-1&4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}26\\17\\23\end{array}\right].

Step 3:

The linear system B is represented as

\left[\begin{array}{ccc}4&1&1\\1&-11&0\\1&-1&12\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}23\\17\\26\end{array}\right].

Step 4:

The linear system C is represented as

\left[\begin{array}{ccc}1&1&1\\1&-1&0\\1&-1&1\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}4\\11\\12\end{array}\right].

Step 5:

The linear system D is represented as

\left[\begin{array}{ccc}1&1&1\\1&-1&0\\1&-1&1\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}12\\11\\4\end{array}\right].

Step 6:

Of the four options, the linear system D has the matrix of constants [[12], [11], [4]]. So the answer is option D. D.

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