Answer correctly get the brainliest answer.

A shark is 80 feet below the surface of the water. It swims up and jumps out of the water to a height of 15 feet above the surfa

lyudmila [28]

Answer:

∆y = 95 ft

the vertical distance the shark travels is 95 ft

Step-by-step explanation:

Given;

Initial position y1= 80 ft below the surface of water = -80ft

Final Position y2 = 15 ft above the surface = +15ft

The vertical distance travelled by the shark is;

∆y = y2 - y1 = 15 - (-80) ft

∆y = 15 +80 ft

∆y = 95 ft

the vertical distance the shark travels is 95 ft

6 0

3 years ago

The Magazine Mass Marketing Company has received 1515 entries in its latest sweepstakes. They know that the probability of recei

wariber [46]

Answer:

$P(x < 5)=P(X=0)+P(X=1)+P(X=2)+P(x=3)+P(X=4)$

$P(X=0)=(15C0)(0.5)^0 (1-0.5)^{15-0}=0.0000305$

$P(X=1)=(15C1)(0.5)^1 (1-0.5)^{15-1}=0.000458$

$P(X=2)=(15C2)(0.5)^2 (1-0.5)^{15-2}=0.0032$

$P(X=3)=(15C3)(0.5)^3 (1-0.5)^{15-3}=0.0139$

$P(X=4)=(15C4)(0.5)^4 (1-0.5)^{15-4}=0.0417$

And adding we got:

$P(x < 5)=0.0592$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.5)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(x < 5)=P(X=0)+P(X=1)+P(X=2)+P(x=3)+P(X=4)$

$P(X=0)=(15C0)(0.5)^0 (1-0.5)^{15-0}=0.0000305$

$P(X=1)=(15C1)(0.5)^1 (1-0.5)^{15-1}=0.000458$

$P(X=2)=(15C2)(0.5)^2 (1-0.5)^{15-2}=0.0032$

$P(X=3)=(15C3)(0.5)^3 (1-0.5)^{15-3}=0.0139$

$P(X=4)=(15C4)(0.5)^4 (1-0.5)^{15-4}=0.0417$

And adding we got:

$P(x < 5)=0.0592$

7 0

3 years ago

10. WEATHER On average, the circular eye of a hurricane is about 15 miles in diameter. Gale winds can affect an area up to 300 m

kykrilka [37]

The equation to represent a possible boundary of the hurricane's eye is (x - 80)² + (y - 26)² = 7.5²

<h3>Circle Equation</h3>

The standard equation of a circle is given by:

(x - h)² + (y - k)² = r²

Where (h, k) is the center of the circle and r is the radius.

Given that diameter = 15 miles, hence radius = 15/2 = 7.5. Also, center = (80, 26)

The equation of circle is:

(x - 80)² + (y - 26)² = 7.5²

The equation to represent a possible boundary of the hurricane's eye is (x - 80)² + (y - 26)² = 7.5²

Find out more on Circle Equation at: brainly.com/question/1559324

5 0

2 years ago

A person must score in the upper 7% of the population on an admissions test to qualify for membership in society catering to hig

vladimir2022 [97]

Answer: The minimum score a person must have to qualify for the society = 147.4

Step-by-step explanation:

Let X be the test scores.

As per given,

X is normally distributed.

Mean $(\mu) = 110$

$\sigma=5$

$$$\begin{array}{l}\quad P(z>2)=0.07 \\\therefore \quad 1-P(z$

The minimum score a person must have to qualify for the society = 147.4

4 0

3 years ago

A company pays its sales employees a base rate of $450.00 a week plus a 4% commission on any sales the employee makes. If an emp

alexira [117]

4% = 0.04

1020 * 0.04 =40.80 ( commission)

450 + 40.80 = $490.80 total pay

3 0

4 years ago

Answer correctly get the brainliest answer.​

Answer correctly get the brainliest answer.