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3 years ago

What is the explicit formula for the nth term of a(n)=12a(n-1, where the 1st term is .001?

Mathematics

1 answer:

masya89 [10]3 years ago

7 0

$\left\{\begin{array}{ccc}a_1=0.001\\a_n=12a_{n-1}\end{array}\right\\\\\boxed{a_n=0.001\cdot12^{n-1}}$

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A patient weighs 93 pounds (lb). Meperidine hydrochloride is ordered for pain at a dosage of 6 milligrams (mg) per kilogram of b

Ymorist [56]

Convert the dose into mg / lb

1 lb = .45 Kg

so the does = 6 * .45 = 2.7 mg/lb

so the daily dose of the patient is 93 * 2.7 = 251.1 mg

injections are available in 50mg per mL

to calculate the daily dose in mL 251.1 / 50 = 5 mL

7 0

3 years ago

A research group wants to know if the online platform to play Settlers of Catan is being accessed more after the stay at home or

Gre4nikov [31]

Answer:

a) The P-value is 0.

At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.

b) Effect size d = 0.77

Medium.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the online platform was accessed significantly more so than before the stay at home order.

Then, the null and alternative hypothesis are:

$H_0: \mu=1000\\\\H_a:\mu> 1000$

The significance level is 0.05.

The sample has a size n=108000.

The sample mean is M=1378.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=489.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{489}{\sqrt{108000}}=1.488

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{1378-1000}{1.488}=\dfrac{378}{1.488}=254.036

The degrees of freedom for this sample size are:

$df=n-1=108000-1=107999$

This test is a right-tailed test, with 107999 degrees of freedom and t=254.036, so the P-value for this test is calculated as (using a t-table):

$\text{P-value}=P(t>254.036)=0$

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.

The effect size can be estimated with the Cohen's d.

This can be calculated as:

$d=\dfrac{M-\mu}{\sigma}=\dfrac{1378-1000}{489}=\dfrac{378}{489}=0.77$

The values of Cohen's d between 0.2 and 0.8 are considered "Medium", so in this case, the effect size d=0.77 is medium.

5 0

3 years ago

If you if you traveled 52 ft to -43 feet how far is that

Hitman42 [59]

The answer is 95ft

1. Set up an equation 52-x=-43

2. Subtract 52 from both sides -x=43-52

3. Simplify -x=-95

4. x=95

All the best (if you don't understand the equation let me know if you want help)

8 0

3 years ago

3x+(24x+8)what is the answer

Keith_Richards [23]

We can get rid of the parentheses so it looks like this:

3x + 24x + 8.

Simplify:

27x + 8

5 0

3 years ago

Read 2 more answers

X^4-28x^2=0 solve algebraically

Paha777 [63]

$x^4 - 28x^2 = 0$

$x^2(x^2 - 28) = 0$

$x^2 = 0 \ \ or \ \ (x^2 - 28) = 0$

$x = 0 \ \ or \ \ x^2 = 28$

$x = 0 \ \ or \ \ x = \pm \sqrt{28}$

$x = 0 \ \ or \ \ x = \pm2 \sqrt{7}$

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Answer : x = 0 or 2√7 or -2√7
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8 0

3 years ago