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3 years ago

Jennifer is playing with a die that has six faces. What is the likelihood that she will roll a four?

Mathematics

2 answers:

Ymorist [56]3 years ago

7 0

The likely hood would be1 out of 6

oee [108]3 years ago

4 0

If the mass of the die is evenly distributed, then the P = 1/6

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g For the curve parameterized by x(t) = 3 sin t, y(t) = 5 cost, for −π/4 ≤ t ≤ π/2: (a) Sketch the curve and the direction trace

tamaranim1 [39]

Answer:

a) See the file below, b) $s = \int\limits^{0.5\pi}_{-0.25\pi} {[\left( 3\cdot \cos t\right)^{2}+\left(-5\cdot \sin t \right)^{2}]} \, dx$ , c) $s \approx 9.715$

Step-by-step explanation:

a) Points moves clockwise as t increases. See the curve in the file attached below. The parametric equations describe an ellipse.

b) The arc length formula is:

$s = \int\limits^{0.5\pi}_{-0.25\pi} {[\left( 3\cdot \cos t\right)^{2}+\left(-5\cdot \sin t \right)^{2}]} \, dx$

c) The perimeter of that arc is approximately:

$s \approx (\frac{1}{4} + \frac{1}{8})\cdot 2 \pi\cdot \sqrt{\frac{3^{2}+5^{2}}{2} }$

$s \approx 9.715$

5 0

3 years ago

A boy pushes a bike with 5 newtons up a hill that is 300 meter long. How much work does he do?

siniylev [52]

Answer:

1500 J is the correct answer.

Step-by-step explanation:

5 0

2 years ago

A 10-year annuity pays $1,850 per month, and payments are made at the end of each month. If the APR is 12 percent compounded mon

Fittoniya [83]

Based on the amount the annuity pays per month and the APR, the value of the annuity today is $133,349.85.

<h3>What is the present value of the annuity?</h3>

First, find the present value of the annuity at 5 years:

= 1,850 x present value interest factor of annuity, 60 months, 8/12%

= 1,850 x 49.32

= $91,242

Then find the present value of the annuity from 5 years till date:

= (1,850 x present value interest factor of annuity, 60 months, 12/12%) + ( 91,242) / (1 + 1%)⁶⁰)

= (1,850 x 44.955) + ( 91,242) / (1 + 1%)⁶⁰)

= $133,349.85

Find out more on the present value of annuities at brainly.com/question/24097261.

#SPJ1

4 0

1 year ago

17. Scott cuts his birthday cake into nine equal pieces and eats two of them.

Roman55 [17]

Answer:

A. 0.2222

B. Repeat indefinitely

Step-by-step explanation:

A. We have that Scott has 9 pieces in total and he eats 2 of them. That means he eats 2 <em>out of </em>the 9, so we have 2 ÷ 9. (see attachment)

The decimal form is: 0.2222.

B. Clearly, we can see that throughout the long division, we keep getting 20 - 18 = 2, which makes another 20 and so on. So, this will repeat indefinitely.

7 0

2 years ago

A 30-foot pole is stabilized by a wire attached to the ground 10 feet from the base of the pole. how long is the wire?

Leya [2.2K]

Answer:

height of the pole is 16.1

6 0

2 years ago