Find the golf strokes.<br> The course is par 72. A<br> player shoots + 5.

Which expression is equivalent to 15 n=10 (n+3/n)?

Karolina [17]

Answer:

±√6

Step-by-step explanation:

$15n=10(n+\frac{3}{n} )$ is your expression first muiltiply out the 10 to get 15n= 10n+10 3/n next subtract 10 n from both sides to get 5n=10+3/n multiply both sides by n to get 5n^2=13 combine both sides and use the quadratic equation to solve to get your solution of ±√6

3 0

2 years ago

A bag contains 3 red marbles, 6 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the probabili

Pie

Answer: 18%

Step-by-step explanation:

add all of the marbles together, there are 11 total marbles. divide the total marbles with how many green marbles there are in the bag, 2/11, Which will give you 0.1818182. reduce that to the nearest tenth... 0.18. So there is an 18% chance that both marbles drawn will be green.

5 0

3 years ago

Read 2 more answers

An investigator compares the durability of two different compounds used in the manufacture of a certain automobile brake lining.

jeka94

Answer:

The point estimate is 5,617.

The margin of error of a confidence interval for the difference between the two population means is 454.18386 .

The 98% confidence interval for the difference between the two population means is (5163, 6071).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Compound 1:

127 brakes, average brake life of 42,814 miles, population standard deviation of 1819 miles. This means that:

$\mu_1 = 42814$

$s_1 = \frac{1819}{\sqrt{127}} = 161.41$

Compound 2:

163 brakes, average brake life of 37,197 miles, population standard deviation of 1401 miles. This means that:

$\mu_2 = 37197$

$s_2 = \frac{1401}{\sqrt{163}} = 109.73$

Distribution of the difference:

$\mu = \mu_1 - \mu_2 = 42814 - 37197 = 5617$

The point estimate is 5,617.

$s = \sqrt{s_1^2 + s_2^2} = \sqrt{161.41^2 + 109.73^2} = 195.18$

Confidence interval

The confidence interval is:

$\mu \pm zs$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = zs$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a p-value of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

Margin of error:

$M = zs = 195.18*2.327 = 454.18386
$

The margin of error of a confidence interval for the difference between the two population means is 454.18386 .

For the confidence interval, as we round to the nearest whole number, we round it 454. So

The lower bound of the interval is:

$\mu - zs = \mu - M = 5617 - 454 = 5163$

The upper bound of the interval is:

$\mu + zs = \mu + M = 5617 + 454 = 6071$

The 98% confidence interval for the difference between the two population means is (5163, 6071).

3 0

2 years ago

A manufacturer of widgets finds that the production cost, C, in dollars per unit is a function of the number of widgets produced

Elis [28]

Answer:

I guess that you want to find the profit:

We have two equations:

the cost equation:

C(x) = -0.1*x^2 + 100.

And the selling equation, that is a vertical stretch of the cost equation by a factor of 1.4:

S(x) = 1.4*C(x) = 1.4*( -0.1*x^2 + 100.) = -0.14*x^2 + 140

Now, whit those two equations we can find the profit equation, that is defined as the difference between the selling price, and the cost:

P(x) = S(x) - C(x) = 1.4*C(x) - C(x) = (1.4 - 1)*C(x) = 0.4*C(x).

Then the profit is 0.4 times the initial cost.

P(x) = 0.4*( -0.1*x^2 + 100.) = -0.04*x^2 + 40

3 0

3 years ago

Read 2 more answers

The population of geckos in a reptile habitat can be represented by the expression s(1.35)t, where s is the initial number of ge

vovangra [49]

The formular for an exponential population growth is given by

$P(t) = P_0(1 + r)^t$

where: r is the rate per period, t is the time and $P_0$ is the initial population.

Comparing the above formular with the given formula we have

$s(1.35)^t=s(1+0.35)^t \\ \\ r=0.35\ or\ 35%$

Therefore, the <span>equivalent quarterly growth rate of the geckos is 8.75%.</span>

8 0

3 years ago

Find the golf strokes. The course is par 72. A player shoots + 5.