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tester [92]
3 years ago
12

Y=-4x + 2 y = -x - 1

Mathematics
1 answer:
USPshnik [31]3 years ago
7 0

Hey there! I'm happy to help!

We have two values for y in terms of x. We can now create an equation to solve for what x is.

-4x+2=-x-1

We add x to both sides

-3x+2=-1

We subtract 2 from both sides.

-3x=-3

We divide both sides by -3.

x=1

Now, we can plug our x into one of the original equations and then solve for y!

y= -4+2

y=-2

We can also test this with the other.

y= -1-1

y=-2

Therefore, our solution is (1, -2), or x=1 and y=-2.

I hope that this helps!

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Dylan Rieder is a statistics student investigating whether athletes have better balance than non-athletes for a thesis project.
Kobotan [32]

Answer:

t=\frac{(3.7-4.1)-0}{\sqrt{\frac{1.1^2}{32}+\frac{1.3^2}{45}}}}=-1.457

p_v =P(t_{75}  

Comparing the p value with a significance level for example \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can't say that the population mean for the athletes is significantly lower than the population mean for non athletes.  

Step-by-step explanation:

Data given and notation

\bar X_{A}=3.7 represent the mean for athletes  

\bar X_{NA}=4.1 represent the mean for non athletes  

s_{A}=1.1 represent the sample standard deviation for athletes  

s_{NA}=1.3 represent the sample standard deviation for non athletes

n_{A}=32 sample size for the group 2  

n_{NA}=45 sample size for the group 2  

\alpha=0.01 Significance level provided  

t would represent the statistic (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the population mean for athletes is lower than the population mean for non athletes, the system of  hypothesis would be:  

Null hypothesis:\mu_{A}-\mu_{NA}\geq 0  

Alternative hypothesis:\mu_{A} - \mu_{NA}< 0  

We don't have the population standard deviation's, we can apply a t test to compare means, and the statistic is given by:  

t=\frac{(\bar X_{A}-\bar X_{NA})-\Delta}{\sqrt{\frac{s^2_{A}}{n_{A}}+\frac{s^2_{NA}}{n_{NA}}}} (1)  

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.  

With the info given we can replace in formula (1) like this:  

t=\frac{(3.7-4.1)-0}{\sqrt{\frac{1.1^2}{32}+\frac{1.3^2}{45}}}}=-1.457

P value  

We need to find first the degrees of freedom given by:

df=n_A +n_{NA}-2=32+45-2=75

Since is a one left tailed test the p value would be:  

p_v =P(t_{75}  

Comparing the p value with a significance level for example \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can't say that the population mean for the athletes is significantly lower than the population mean for non athletes.  

5 0
3 years ago
How many kilometres and metres are equal to 0.75 of 6km?​
Pachacha [2.7K]

Answer:

4.5 kilometers

Step-by-step explanation:

it is obtained by simply multiplying 0.75 with 6 km.the shortest and brief answer

3 0
2 years ago
Using the scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree. 3/1
professor190 [17]

Given:

The ratio is \dfrac{3}{1}.

To find:

Inverse tangent of the given ratio.

Solution:

We know that,

Inverse tangent of the ratio \dfrac{3}{1} = \tan^{-1}\dfrac{3}{1}

                                                 = \tan^{-1}3

Using scientific or graphing calculator, we get

Inverse tangent of the ratio \dfrac{3}{1} = 71.565^\circ

Round to the nearest degree

Inverse tangent of the ratio \dfrac{3}{1}\approx 72^\circ

Therefore, the correct option is C.

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3 years ago
Help me out here pleaseeeee
Jet001 [13]

Answer:

B {12}

Step-by-step explanation:

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Find the number of ways to listen to 4 different CDs from a selection of 15 cds?
Mekhanik [1.2K]

Answer: letter a should be the correct answer

Step-by-step explanation:

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