How much more is 3/8 gallon than 1/4 gallon?

The buyer for an electronics store wants to estimate the proportion of defective wireless game controllers in a shipment of 5,00

katrin2010 [14]

Answer:

We conlude that it is cluster random sample.

Step-by-step explanation:

We know that:

The buyer for an electronics store wants to estimate the proportion of defective wireless game controllers in a shipment of 5,000 controllers from the store's primary supplier. The shipment consists of 200 boxes each containing 25 controllers. The buyer numbers the boxes from 1 to 200 and randomly selects six numbers in that range. She then opens the six boxes with the corresponding numbers, examines all 25 controllers in each of these boxes, and determines the proportion of the 150 controllers that are defective.

We conlude that it is cluster random sample.

4 0

1 year ago

Isaiah scores with 50% of his penalty kicks in soccer. He flips two fair coins to conduct a simulation with 20 trials to determi

MariettaO [177]

Answer:

The probability that Isaiah will make both penalty kicks is 25%.

Step-by-step explanation:

We are given that Isaiah scores with 50% of his penalty kicks in soccer.

He flips two fair coins to conduct a simulation with 20 trials to determine the likelihood that he will make his next two penalty kicks.

The above situation can be represented through binomial distribution;

$P(X =r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,......$

where, n = number of trials (samples) taken = 2 penalty kicks

r = number of success = make both penalty kicks

p = probability of success which in our question is probability

that Isaiah scores with his penalty kicks, i.e; p = 50%

Let X = Number of penalty kicks made by Isaiah

So, X ~ Binom(n = 2 , p = 0.50)

Now, Probability that Isaiah will make both penalty kicks is given by = P(X = 2)

P(X = 2) = $\binom{2}{2} \times 0.50^{2} \times (1-0.50)^{2-2}$

= $1 \times 0.50^{2} \times 0.50^{0}$

= 0.25 or 25%

Hence, the probability that Isaiah will make both penalty kicks is 25%.

8 0

1 year ago

Consider the function below. f(x) = ln(x4 + 27) (a) Find the interval of increase. (Enter your answer using interval notation.)

andrezito [222]

Answer:

a) The function is constantly increasing and is never decreasing

b) There is no local maximum or local minimum.

Step-by-step explanation:

To find the intervals of increasing and decreasing, we can start by finding the answers to part b, which is to find the local maximums and minimums. We do this by taking the derivatives of the equation.

f(x) = ln(x^4 + 27)

f'(x) = 1/(x^2 + 27)

Now we take the derivative and solve for zero to find the local max and mins.

f'(x) = 1/(x^2 + 27)

0 = 1/(x^2 + 27)

Since this function can never be equal to one, we know that there are no local maximums or minimums. This also lets us know that this function will constantly be increasing.

6 0

2 years ago

Clint and Max worked out at the gym together today. Clint works out at the gym every 4 days. Max works out at the gym every 6 da

VikaD [51]

Answer:

24 days

Step-by-step explanation:

To determine the number of days until they both work out at the gym on the same day again,

Find the lowest common multiples of 4 days and 6 days

Clint (4 days) = 8, 12, 16, 20, 24, 28, 32

Max (6 days) = 12, 18, 24, 30, 36, 42

The lowest common multiple of ,4 days and 6 days is 24 days

Therefore, the number of days until they both work out at the gym on the same day again is 24 days

7 0

1 year ago

Island A is 150 miles from island B. A ship captain travels 240 miles from island A and then finds that he is off course and 200

Stells [14]

We know that
Applying the law of cosines:

c² = a² + b² - 2abcos(C) 
where: 
a,b and c are sides of the triangle and C is the angle opposite side c 

that is 
150² = 240² + 200² - 2(240)(200)cos(C) 

solve for C 

22,500 = 57,600 + 40,000 - 96,000cos(C) 
22,500-57,600-40,000 = -96,000cos(C)
-75,100=-96,000cos (C)
cos (C)=0.7822916
C=arc cos(0.7822916)--------> C=38.53°°

hence, 
he should turn in the direction of island b by
180 - 38.53 = 141.47 degrees

4 0

1 year ago