Statistics and probability

Find y round to the nearest tenth! trigonometry question! please help!!

Serga [27]

Answer:

Step-by-step explanation:

The top left angle of the triangle is 62°, we know because we are shown that the exterior angle outside that part of the triangle is 28°, so 62° would make that a corner.

We can use Tan of this angle to find the missing side (in this case, the side opposite of the angle measuing 62°)

Tan A = (opposite side)/(adjacent side)

Tan 62° = y/350

solve for y

350(Tan 62°) = y

658.3 = y (rounded to the nearest tenth)

7 0

3 years ago

(07.08)

Black_prince [1.1K]

If the given expression is simplified we get a. -4x² - 3x + 2.

Explanation:

The numerator has three terms while the denominator only has one term. We divide the numerator terms each separately with the denominator term.

So 8x³ + 6x² - 4x / -2x becomes (8x³ / -2x) + (6x² / -2x) + (- 4x/ -2x).

The simplification of the first term; 8 / -2 = -4, x³ / x = x². So the first term is -4x².

The simplification of the second term; 6 / -2 = -3, x² / x = x. So the second term is -3x.

The simplification of the third term; -4 / -2 = 2, x / x = 1. So the third term is 2.

Adding all the terms we get -4x² - 3x + 2. This is the option a.

6 0

4 years ago

Cars arrive at the Wendy's drive-through at a rate of 1 car every 5 minutes between the hours of 11:00 PM and 1:00 AM. on Saturd

mestny [16]

Answer:

1) $P(X = 8) = 0.1033$

$P(X = 9) = 0.0688$

2) Expected number of 200 restaurants in which exactly 8 customers use the drive-through: 20.66

Expected number of 200 restaurants in which exactly 9 customers use the drive-through: 13.76

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

$e = 2.71828$ is the Euler number

$\mu$ is the mean in the given time interval.

Question 1. Use the Poisson distribution to calculate the probability that exactly 8 cars will use the drive-through between 12:00 midnight and 12:30 AM on a Saturday night at Wendy's. Do the same for exactly 9 cars.

Cars arrive at the Wendy's drive-through at a rate of 1 car every 5 minutes between the hours of 11:00 PM and 1:00 AM. on Saturday nights. This means that during 30 minutes, 6 cars expected to arrive. So $\mu = 6$ .