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3 years ago

Help please!!! Pre-calculus

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

6 0

Answer:

P ( 3, - pi/3 + 2 pi n) or P ( -3 , -pi/3 + pi(2 n +1))

Step-by-step explanation:

P ( 3, - pi/3)

We can circle 2pi n around the circle and be back at the same polar coordinate

P ( 3, - pi/3 + 2 pi n)

or we can flip the radius to a negative and add pi to the theta

P ( -3, - pi/3 + pi)

Then we can circle 2pi n around the circle and be back at the same polar coordinate

P ( -3 , -pi/3 + 2 pi n +pi)

P ( -3 , -pi/3 + pi(2 n +1))

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The final margin of an NFL football game is approximately normally distributed, with a mean equal to the gambling point spread a

nika2105 [10]

Answer:

The Giants had 0.1949 = 19.49% probability of winning initially.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean equal to the gambling point spread and a standard deviation of 14 points. The Patriots had been favored by 12 points.

This means that $\mu = 12, \sigma = 14$

What does that fact imply about the Giants' initial (i.e., pre-game) chances of winning

P(X > 0): Probability of Patriots winning.

P(X < 0): Probability of Giants winning.

So we want to find P(X < 0), which is the pvalue of Z when X = 0. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{0 - 12}{14}$

$Z = -0.86$

$Z = -0.86$ has a pvalue of 0.1949

The Giants had 0.1949 = 19.49% probability of winning initially.

7 0

3 years ago

Simplify into one fraction<br><br> 8x-2/x-8-2/x-8

Elis [28]

$\frac{8x-2}{x-8} - \frac{2}{x-8}$

The fractions already have a common denominator of x-8, so all wee need to do is combine the numerators:

$\frac{8x-2-2}{x-8}$

$\frac{8x-4}{x-8}$

3 0

3 years ago

Graph the function.

Soloha48 [4]

Answer:

y =x+1

Step-by-step explanation:

The y intercept is 1

The slope is positive

We go up 1 and to the right 1

y = mx+b where m is the slope and b is the y intercept

y = 1x+1

y =x+1

8 0

2 years ago

A cheetah runs 1 2/3 meters in 0.1 second.Determine the cheetah's speed in meters per second.

UNO [17]

1s = 0.1s X 10
1 2/3 = 5/3
10 = 10/1
5/3 X 10/1 = 50/3 = 16 2/3 = 16.666m/s

3 0

3 years ago

In the following shape, two semicircles

Andrei [34K]

Answer:

The length around the figure in terms of r is 2r ( $\pi$ + 4).

Step-by-step explanation:

The perimeter of an object is the total length of the boundary of the object.

The figure consists two similar semicircle and a rectangle.

Adding the two semicircles, a complete circle is formed. The circumference of a circle = 2 $\pi$ r.

The rectangle has a length which is twice its height.

i.e l = 2h

But,

r = $\frac{h}{2}$ (the diameters of the semicircles equal the height of the rectangle)

⇒ h = 2r

Thus, one side length of rectangle = 2 × 2r (l = 2 × h)

= 4r

The length around the figure in terms of r is:

= 2 $\pi$ r + 4r + 4r

= 2 $\pi$ r + 8r

= 2r ( $\pi$ + 4)

The length around the figure in terms of r is 2r ( $\pi$ + 4).

8 0

3 years ago