8. How do temperature and<br> salinity affect seawater density?

A survey found that 31% of all teens buy soda (pop) at least once each week. Seven teens are randomly selected. The random varia

kumpel [21]

Answer:

The value of n is 7.

Step-by-step explanation:

For each teen, there are only two possible outcomes. Either they buy soda at least once each week, or they do not. Since they were selected randomly, the teens are independent of each other, which means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

In the binomial distribution, we have that n is the size of the sample. In this question, seven teens are randomly selected, which means that the value of n is 7.

7 0

3 years ago

Find the value of the variable in the parallelogram

kirill115 [55]

The value is 64 hope this help

3 0

3 years ago

The temperature, HH, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H=f(t)H=f(t), where tt is

hjlf

Answer:

A) f'(t) is negative

B) degc/min

c ) At 20 minutes after the coffee was put on the counter its temperature is 56degc and will decrease by about 1.125 in the next 45 seconds

Step-by-step explanation:

A ) f'(t) is Negative because as the cup of coffee is placed on the counter there is loss of heat from the cup of coffee to the surrounding as t increases hence f'(t) is negative

B ) The units of f'(20) = degc/min

C) At ║f'(20)║ = 1.5 and f'(20) = 56

║f'(20)║ = 1.5 represents the rate of change of temp every 20 minutes = 1.5

therefore after 45 seconds = 3/4 mins. change in temp = (3/4 * 1.5) = 1.125

At 20 minutes after the coffee was put on the counter its temperature is 56degc and will decrease by about 1.125 in the next 45 seconds

3 0

3 years ago

If the cost, C(x), for manufacturing x units of a certain product is given by

Diano4ka-milaya [45]

Answer:

99 units.

Step-by-step explanation:

The cost function for manufacturing <em>x</em> units of a certain product is:

$C(x)=x^2-15x+34$

We want to find the number of units manufactured at a cost of $8350. Therefore:

$8350=x^2-15x+34$

Subtract 8350 from both sides:

$x^2-15x-8316=0$

This equation can be a bit difficult to factor, if even possible, so we can use the quadratic formula:

$\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case, a = 1, b = -15, and c = -8316. Thus:

$\displaystyle x=\frac{-(-15)\pm\sqrt{(-15)^2-4(1)(-8316)}}{2(1)}$

Simplify:

$\displaystyle x=\frac{15\pm\sqrt{33489}}{2}$

Evaluate:

$\displaystyle x=\frac{15\pm183}{2}$

Therefore, our solutions are:

$\displaystyle x=\frac{15+183}{2}=99\text{ and } x=\frac{15-183}{2}=-84$

We cannot produce negative items, so we can ignore the second answer.

Therefore, for a cost of $8350, 99 items are being produced.

5 0

3 years ago

2(5x+3)=4x+18 how would i solve this problem

Darina [25.2K]

X=2
You have to first distribute the two and then you have to move the variable to one side of the equation and the number to the other. The work is attached below

8 0

3 years ago

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8. How do temperature and salinity affect seawater density?