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Stella [2.4K]
3 years ago
15

Brian ran 414 miles in 34 of an hour. How fast was Brian running? 3316 mph 312 mph 5 mph 523 mph

Mathematics
2 answers:
alina1380 [7]3 years ago
5 0

Answer: Fourth option is correct.

Step-by-step explanation:

Since we have given that

Distance traveled by Brian = 4\frac{1}{4}\ miles=\frac{17}{4}\ miles

Time taken by him = \frac{3}{4} of an hour

So, Speed at which Brian is running fast is given by

Speed=\dfrac{Distance}{Time}\\\\\\Speed=\dfrac{\dfrac{17}{4}}{\dfrac{3}{4}}\\\\\\Speed=\dfrac{17}{3}\\\\\\Speed=5\dfrac{2}{3}\ mph

Hence, Brian was running fast at 5\dfrac{2}{3}\ mph

Therefore, Fourth option is correct.

hammer [34]3 years ago
3 0

Answer:

he means 5 2/3

Step-by-step explanation:


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What is the greatest whole number that is less than ( 5\2)^3 divided by (3\4)^2
12345 [234]
First work out (5/2)³ by cubing both the numerator and denominator to give: 125/8

then work out (3/4)² by squaring both the numerator and denominator to give: 9/16 

then divide 125/8 by 9/16
using the stay-change-flip method of division:
the first term stays the same, the divide becomes multiply and the second fraction is flipped upside down.
so:
125/8 x 16/9 =2000/72
then just divide 2000 by 72 to give: 27.78 to 2 d.p
therefore the greatest whole number than 27.78 is 27.
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3 years ago
Sally pays her car insurance monthly. Her annual premium is $1024. Each payment she is charged a $5 convenience fee. If her annu
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Answer:

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Step-by-step explanation:

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3 years ago
Given the sample −4, −10, −16, 8, −12, add one more sample value that will make the mean equal to 3.
Agata [3.3K]

Answer: The value to add to the set is 52

=======================================================

For a moment, ignore the extra value we'll add in later.

The given set of values add to -34.

Let x be the extra value we add in. It adds to the -34 to get -34+x, then we divide by 6 because the set {-4,-10,-16,8,-12,x} has 6 items.

So we get the mean (-34+x)/6

Set this equal to the mean we want (3) and solve for x

(-34+x)/6 = 3

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x = 18+34

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The set {-4,-10,-16,8,-12,x} updates to {-4,-10,-16,8,-12,52} and this set has a mean of 3.

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3 years ago
Given the general form of the sinusoidal function, y = AsinB(x - C) + D, match the following items.
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Answer:

\Delta y = A (Amplitude) (Correct answer: 1)

\omega = B (Angular frequency) (Correct answer: 2)

x_{o} = C (Phase shift) (Correct answer: 3)

y_{o} = D (Vertical shift) (Correct answer: 4)

\frac{2\pi}{\omega} = \frac{2\pi}{B} (Period) (Correct answer: 5)

Step-by-step explanation:

The general form of a sinusoidal function is represented by the following characteristics:

y = \Delta y \cdot \sin \omega\cdot (x- x_{o}) + y_{o} (1)

Where:

\Delta y - Amplitude.

\omega - Angular frequency.

x_{o} - Phase shift.

y_{o} - Vertical shift.

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T = \frac{2\pi}{\omega}

By direct comparison, we get the following conclusions:

\Delta y = A (Amplitude) (Correct answer: 1)

\omega = B (Angular frequency) (Correct answer: 2)

x_{o} = C (Phase shift) (Correct answer: 3)

y_{o} = D (Vertical shift) (Correct answer: 4)

\frac{2\pi}{\omega} = \frac{2\pi}{B} (Period) (Correct answer: 5)

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3 years ago
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Answer:

The range of z-score is given below as

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1 year ago
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