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3 years ago

Question 14(Multiple Choice Worth 5 points)

Mathematics

2 answers:

avanturin [10]3 years ago

8 0

Answer:

negative pi divided by 6 + (2n + 1)π) or (-1, negative

ddd [48]3 years ago

7 0

Answer:

Find all polar coordinates of point P where P = (5 , -pi+%2F6 ).

There are two sets of possibilities.

(1) Same (positive) magnitude and an angle that is the same as the given angle, or differs from the given angle by an even multiple of pi:

P = (5, -pi%2F6%2B2n%2Api )

(2) Opposite (negative) magnitude and an angle that differs from the given angle by an odd multiple of pi:

(-5, -pi%2F6%2B%282n%2B1%29pi)

answer is: (5,-pi%2F6+%2B+2n%2Api) or (-5, -pi%2F6%2B%282n%2B1%29pi)

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Clarinex is a drug used to treat asthma. In clinical tests of this drug, 1655 patients were treated with 5- mg doses of Clarinex

bagirrra123 [75]

Answer:

$z=\frac{0.021 -0.012}{\sqrt{\frac{0.012(1-0.012)}{1655}}}=3.363$

$p_v =P(z>3.363)=0.00039$

So the p value obtained was a very low value and using the significance level given $\alpha=0.01$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is significantly higher than 0.012 (1.2%)

Step-by-step explanation:

Data given and notation

n=1655 represent the random sample taken

$\hat p=0.021$ estimated proportion of interest

$p_o=0.012$ is the value that we want to test

$\alpha=0.01$ represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that true proportions is higher than 0.012.:

Null hypothesis: $p \leq 0.012$

Alternative hypothesis: $p > 0.012$

When we conduct a proportion test we need to use the z statisitic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.021 -0.012}{\sqrt{\frac{0.012(1-0.012)}{1655}}}=3.363$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.01$ . The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>3.363)=0.00039$

3 0

3 years ago

Write a division problem whose quotient has its first digit in the hundreds place.

Dominik [7]

-- 500 divided by 5

-- 17,684 divided by 58.4

7 0

3 years ago

What is the quotient when 2x^3-1 is divided by x - 1?

andrey2020 [161]

Answer:

Step-by-step explanation:

Use synthetic division:

The coefficients of 2x^3 - 1 are {2, 0, 0, -1}. Setting up synthetic division, we get:

1 / 2 0 0 -1

2 2 2

---------------------------

2 2 2 1

Note that the remainder is 1. The same result would be obtained through long division.

The quotient is 2x^2 + 2x + 2 with a remainder of 1.

4 0

3 years ago

A=9y+3yx solve for y

solong [7]

The answer is y= a/3(3+x)

3 0

3 years ago

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Have some free points OwO

hram777 [196]

Answer:

YAY

Step-by-step explanation:

4 0

3 years ago

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