4 hours ago

Carl scored 32 on the ACT mathematics Test and 730 on the mathematics portion of the SAT. If the ACT Math Test had a mean score

of 21.0 with a standard deviation of 5.3, and the mathematics section of the SAT had a mean score of 516 with a standard deviation of 116, on which exam did Carl earn a better score with respect to his peers?

Mathematics

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C) Your parents have been advised to save 5% of their income for your college education

Svet_ta [12734]

48,948 * 5% = 2447.4

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Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 16 miles south. She then runs

PIT_PIT [12445]

Answer:

The formula to determine the distance Jane's trainer bikes is $x=\sqrt{16^2+12^2}$ .

Detailed explanation:

A diagram has been included for clarity.

Known values:

Distance biked to the south = 16 miles

Distance ran west = 12 miles

We need to determine the distance covered by Jane's trainer.

Solution:

Let the biking distance be represented by 'x'.

We will assume it forms a right-angled triangle.

According to the Pythagorean theorem, it states that;

"The square of the hypotenuse is equal to the sum of the squares of the other two sides."

When set in equation form, this gives us;

$x^2=16^2+12^2\\\\x=\sqrt{16^2+12^2}$

Thus, the equation representing the distance biked by Jane's trainer is $x=\sqrt{16^2+12^2}$ .

Upon solving, we find;

$x=\sqrt{16^2+12^2}\\\\x= \sqrt{256+144}\\ \\x=\sqrt{400} \\\\x=20\ miles$

Consequently, Jane's trainer covers a distance of 20 miles.

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A quarterback looks downfield at a receiver who is 14 yards away. The receiver is covered, so the quarterback turns 30° to his r

Zina [12379]

Your answer will be C.

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