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3 years ago

Choose Always, Sometimes, or Never for each statement

Mathematics

1 answer:

klasskru [66]3 years ago

7 0

Answer:

a)never b)always c)never d)sometimes.

Step-by-step explanation:

I’ll try to explain by giving examples for each:

a) let’s take n=-1 => 2*1/10= 2/10 =0,2 = > the number won’t be negative => answer:never.

b)let’s take q=-2 => (-2)*100000=-200000 => answer:always.

c)let’s take m=-2 => 6*1/100 = 6/100 =0,06; and 60^-2 = 1/60^2=1/360=0.02... => answer:never.

d)let’s take 1) p=1000; => 1000/1000=1. 2) p= 2 => less than 1. => answer:sometimes.

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In a clinical study of an allergy drug, 108 of the 200 subjects reported experiencing significant relief from their symptoms. Te

DochEvi [55]

Answer:

The decision is to not reject the null hypothesis.

At a significance level of 0.01, there is not enough evidence to support the claim that the proportion of all those using the drug that experience relief is significantly higher than 50% (P-value = 0.1443).

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the proportion of all those using the drug that experience relief is significantly higher than 50%.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.5\\\\H_a:\pi>0.5$

The significance level is 0.01.

The sample has a size n=200.

The sample proportion is p=0.54.

$p=X/n=108/200=0.54$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.5*0.5}{200}}\\\\\\ \sigma_p=\sqrt{0.00125}=0.035$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.54-0.5-0.5/200}{0.035}=\dfrac{0.038}{0.035}=1.061$

This test is a right-tailed test, so the P-value for this test is calculated as:

$\text{P-value}=P(z>1.061)=0.1443$

As the P-value (0.1443) is greater than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

At a significance level of 0.01, there is not enough evidence to support the claim that the proportion of all those using the drug that experience relief is significantly higher than 50%.

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4 years ago

Find all unique zeros of the function fix) 8x- 64x + 160x- 128-

LenKa [72]

Answer: Lets divide by 8. My god, those coefficients are large.

x^3 - 8x^2 + 20x - 16 = 0

Possible integral roots are: +1, -1, +2, -2, +4, -4, +8, -8

If x = 2, f(x) = 8 - 32 + 40 - 16 = 0

Hence, x-2 is a factor.

Use synthetic division to get: x^2 - 6x + 8 = (x-4)(x-2).

Therefore, there are two integral roots: +2 and +4.

Step-by-step explanation:

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3 years ago

homer is saving for a harmonica. he already has 15$ saved and intends to save 4$ each week. the equation for the amount of money

ZanzabumX [31]

Well the slope, which is 4, represents the four dollars he gets each week. The y intercept, 15, represents the 15 dollars that Homer had previously/

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4 years ago

I DONT KNOW THESE! HELP!

kkurt [141]

Answer:

20. x = 5, y = -2

21. x = 11, y = 12

22. x = 22, y = 11

23. x = 11, y = 10

Step-by-step explanation:

20. Opposite sides in the parallelogram are congruent, so

$2y+18=3x-1\\ \\6x-3=17-5y$

Solve this system of two equations:

$\left\{\begin{array}{l}2y-3x=-19\\ \\6x+5y=20\end{array}\right.$

Multiply the first equation by 2 and add two equations:

$2(2y-3x)+6x+5y=2\cdot (-19)+20\\ \\4y-6x+6x+5y=-38+20\\ \\9y=-18\\ \\y=-2$

Substitute it into the first equation:

$2\cdot (-2)-3x=-19\\ \\-3x=-19+4\\ \\-3x=-15\\ \\x=5$

21. Opposite angles in the parallelogram are congruent, so

$11x+5=10y+6$

Consecutive angles are supplementary, so

$6x-y+11x+5=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}11x-10y=1\\ \\17x-y=175\end{array}\right.$

From the second equation

$y=17x-175$

Substitute it into the first equation:

$11x-10(17x-175)=1\\ \\11x-170x+1750=1\\ \\-159x=-1749\\ \\x=11\\ \\y=17\cdot 11-175=187-175=12$

22. Opposite angles in the parallelogram are congruent, so

$2x-5=3y-12$

Consecutive angles are supplementary, so

$2x-5+7y+x=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-3y=-7\\ \\3x+7y=185\end{array}\right.$

From the first equation

$x=-3.5+1.5y$

Substitute it into the second equation:

$3(-3.5+1.5y)+7y=185\\ \\-10.5+4.5y+7y=185\\ \\-105+45y+70y=1,850\\ \\115y=1,850+105\\ \\115y=1,955\\ \\y=17\\ \\x=-3.5+1.5\cdot 17=22$

23. Opposite sides in the parallelogram are congruent, so

$2x+9=4y-9\\ \\3x-5=2y+8$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-4y=-18\\ \\3x-2y=13\end{array}\right.$

Multiply the second equation by 2 and subtract it from the first equation:

$2x-4y-2(3x-2y)=-18-2\cdot 13\\ \\2x-4y-6x+4y=-18-26\\ \\-4x=-44\\ \\x=11$

Substitute it into the first equation:

$2\cdot 11-4y=-18\\ \\-4y=-18-22\\ \\-4y=-40\\ \\y=10$

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3 years ago

What is the standard deviation for the data set? 138, 129, 145, 134, 142, 159, 153, 142, 127 Express your answer as a decimal to

garik1379 [7]

10.5 is the standard deviation

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3 years ago

Choose Always, Sometimes, or Never for each statement ​

Choose Always, Sometimes, or Never for each statement