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3 years ago

15

Which of the following is not an itemized deduction?

1 answer:

never [62]3 years ago

7 0

Answer:

<em>IRA contributions</em>

Step-by-step explanation:

You might be interested in

Sin 1 + sin 2 + sin3 .................+ sin 360 = ?

lesya [120]

Assuming that arcs are given in degrees, call S the following sum:

S = sin 1° + sin 2° + sin 3° + ... + sin 359° + sin 360°

Rearranging the terms, you can rewrite S as

S = [sin 1° + sin 359°] + [sin 2° + sin 358°] + ... + [sin 179° + sin 181°] + sin 180° +
+ sin 360°

S = [sin 1° + sin(360° – 1°)] + [sin 2° + sin(360° – 2°)] + ...+ [sin 179° + sin(360° – 179)°]
+ sin 180° + sin 360° (i)

But for any real k,

sin(360° – k) = – sin k

then,

S = [sin 1° – sin 1°] + [sin 2° – sin 2°] + ... + [sin 179° – sin 179°] + sin 180° + sin 360°

S = 0 + 0 + ... + 0 + 0 + 0 (... as sin 180° = sin 360° = 0)

S = 0

Each pair of terms in brackets cancel out themselves, so the sum equals zero.

∴ sin 1° + sin 2° + sin 3° + ... + sin 359° + sin 360° = 0 ✔

I hope this helps. =)

Tags: <em>sum summatory trigonometric trig function sine sin trigonometry</em>

4 0

3 years ago

36 out of 100 randomly selected taxpayers knew about tax incentives for installing energy-saving furnaces. Find a 90% confidence

tresset_1 [31]

Answer:

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 100, \pi = \frac{36}{60} = 0.6$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.28$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 1.645\sqrt{\frac{0.36*0.64}{100}} = 0.44$

The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).

7 0

4 years ago

Help for brainliest thank ill b posting more so check my profile

SSSSS [86.1K]

Answer:

4. C. 2oz

5. A. 20 Kilograms

6. C. Kilometers

<em>good luck, i hope this helps :)</em>

6 0

3 years ago

Aliyah went to the sandwich shop for lunch. She had a sandwich and a salad. Her total bill for lunch was $9.82. The salad she or

Levart [38]

Answer:

9.82 - 2.56 = 7.26 is the equation

7 0

2 years ago

29. BASKETBALL When Jerald shoots a free throw, the ball is 6 feet from the floor and has

tatuchka [14]

Answer:

a) j(t) = -16t^2 +20t +6

b) 1 second

c) less time

Step-by-step explanation:

The general equation for vertical motion is ...

$h(t)=-\dfrac{1}{2}gt^2+v_0t+h_0\\\text{where $v_0$ is the initial upward velocity, and $h_0$ is the initial height}$

__

a) j(t) = -16t^2 +20t +6 . . . . . filling in the given initial values, with g=32 ft/s^2

__

b) We want to find the larger of the solutions to ...

j(t) = 10 = -16t^2 +20t +6

Subtracting 6 and dividing by -4, we have ...

-1 = 4t^2 -5t

4t^2 -5t +1 = 0 . . . . add 1, put in standard form

(4t -1)(t -1) = 0 . . . . . factor

t = 1/4 or 1

The ball is in the air 1 second before reaching the hoop.

__

c) In generic terms, the equation of motion for a given shooting height at the same upward velocity will be ...

10 = -16t^2 +20t + h0

-16t^2 +20t +(h0 -10) = 0

Using the quadratic formula, we find the larger solution to be ...

t = (-(20) -√(20² -4(-16)(h0 -10)))/(2(-16))

t = (5/8) + √(64h0 -240)/32 = (5 +√(4h0 -15))/8

This value increases as h0 increases, so the ball will be in the air less time when Raymond shoots.

7 0

4 years ago