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Sloan [31]
3 years ago
11

Solve the equation. S^2+ 7s = - 20

Mathematics
1 answer:
nataly862011 [7]3 years ago
8 0

this is called the quadratic equation.

Either use quadratic formula to find S or The PSF

Product, sum, factor box.

Quadratic formula is : (-b±√(b²-4ac))/(2a) .

we'll use the quadratic formula because psf ain't possible.

-7± √(49-80)/2

(-7±-5.57)/2

s= 0.715 or 6.285

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Eddi Din [679]

I got D.

There's a few ways to solve it; I prefer using tables, but there are functions on a TI-84 that'll do it for you too. The logic here is, you have a standard normal distribution which means right away, the mean is 0 and the standard deviation is 1. This means you can use a Z table that helps you calculate the area beneath a normal curve for a range of values. Here, your two Z scores are -1.21 and .84. You might notice that this table doesn't account for negative values, but the cool thing about a normal distribution is that we can assume symmetry, so you can just look for 1.21 and call it good. The actual calculation here is:

1 - Z-score of 1.21 - Z-score .84 ... use the table or calculator

1 - .1131 - .2005 = .6864

Because this table calculates areas to the RIGHT of the mean, you have to play around with it a little to get the bit in the middle that your graph asks for. You subtract from 1 to make sure you're getting the area in the middle and not the area of the tails in this problem.

7 0
3 years ago
A researcher selects two samples of equal size and computes a mean difference of 1.0 between the two sample means. If the pooled
s344n2d4d5 [400]

Answer:

The Cohen's D is given by this formula:

D = \frac{\bar X_A -\bar X_B}{s_p}

Where s_p represent the deviation pooled and we know from the problem that:

s^2_p = 4 represent the pooled variance

So then the pooled deviation would be:

s_p = \sqrt{4}= 2

And the difference of the two samples is \bar X_a -\bar X_b = 1, and replacing we got:

D = \frac{1}{2}= 0.5

And since the value for D obtained is 0.5 we can consider this as a medium effect.  

Step-by-step explanation:

Previous concepts

Cohen’s D is a an statistical measure in order to analyze effect size for a given condition compared to other. For example can be used if we can check if one method A has a better effect than another method B in a specific situation.

Solution to the problem

The Cohen's D is given by this formula:

D = \frac{\bar X_A -\bar X_B}{s_p}

Where s_p represent the deviation pooled and we know from the problem that:

s^2_p = 4 represent the pooled variance

So then the pooled deviation would be:

s_p = \sqrt{4}= 2

And the difference of the two samples is \bar X_a -\bar X_b = 1, and replacing we got:

D = \frac{1}{2}= 0.5

And since the value for D obtained is 0.5 we can consider this as a medium effect.  

7 0
3 years ago
For sin2x+cosx=0, use a double-angle or half-angle formula to simplify the equation and then find all solutions of the equation
Archy [21]

Answer:

Step-by-step explanation:

Given is a trignometric equation in x, as

sin2x+cosx=0

TO make it in one trig ratio, we can replace sin2x as 2sinx cosx

WE get now

2sinxcosx+cosx=0\\

cosx(2sinx+1)=0\\cosx=0, sinx =-0.5\\

Principal solution is x=\frac{\pi}{2} , \frac{-\pi}{6}

x = ±π/2 + 2kπ, where k is any integer or

x=±pi/6 +k pi, where k is any integer.

General solution is

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3 years ago
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Aleks [24]
It's the first one you can just add or multiply the expressions to get the answer
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Inessa [10]

Answer:

the price was reduced by 28%

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