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nikklg [1K]
3 years ago
14

Which ordered pair is a solution of the equation? y=-2x+5y=−2x+5 (Choice A) A Only (2,-9)(2,−9) (Choice B) B Only (-2,9)(−2,9) (

Choice C) C Both (2,-9)(2,−9) and (-2,9)(−2,9) (Choice D) D Neither

Mathematics
2 answers:
Firdavs [7]3 years ago
5 0

Answer:

Choice B: Only (-2, 9)

Step-by-step explanation:

Of the two choices, only the point (-2, 9) satisfies the equation:

... y = -2x +5

... 9 = -2(-2) +5 = 4 +5 = 9

Akimi4 [234]3 years ago
3 0

Answer:

The correct answer is B. Only (-2,9) is a solution of the equation.

Step-by-step explanation:

To figure out if an ordered pair is a solution to an equation, you could perform a test.

Identify the x-value in the ordered pair and plug it into the equation. When you simplify, if the y-value you get is the same as the y-value in the ordered pair, then that ordered pair is indeed a solution to the equation.

We have the equation

y=-2x+5

and two different ordered pairs (2, -9) and (-2, 9).

We use the x-value in the first ordered pair, x = 2, and we plug it into the equation.

y=-2(2)+5\\y=-4+5\\y=1

If we compare with the ordered pair (2, -9), <em>y</em> must be equal to -9, but when we plugged x = 2 into the equation, we obtained that y = 1, so this is not a solution.

Using the x-value of the second ordered pair, x = -2, we get

y=-2(-2)+5\\y=4+5\\y=9

Because we obtained y = 9, when we plugged x = -2, the ordered pair (-2, 9) is a solution of the equation.

The correct answer is B. Only (-2,9) is a solution of the equation.

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Step-by-step explanation:

In all these intervals you can see the graph is below or on the x axis meaning F(x) is less or equal to zero.

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3 years ago
Round 345.992 to the nearest whole number.
garik1379 [7]

Answer:

346

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3 years ago
Read 2 more answers
Use the given information to find the ​p-value. ​Also, use a 0.05 significance level and state the conclusion about the null hyp
faltersainse [42]

Answer:

p_v =P(z>1.34)=1-P(z  

Step-by-step explanation:

1) Data given and notation n  

n represent the random sample taken

Xrepresent the people with a characterisitc in the sample

\hat p estimated proportion of people with the characteristic desired

p_o=0.554 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic  

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the population proportionis higher than 0.554.:  

Null hypothesis:p\leq 0.554  

Alternative hypothesis:p > 0.554  

When we conduct a proportion test we need to use the z statistic, 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.

3) Calculate the statistic  

The value of the statisitc is already calculate and given:  

z=1.34  

4) 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=0.05. The next step would be calculate the p value for this test.  

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

p_v =P(z>1.34)=1-P(z  

So the p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we don't have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of interest is not significantly higher than 0.554 .  

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3 years ago
The position of a particle moving along a coordinate axis is given by s(t) = t^2 - 5t + 1. Find the speed ,velocity and accelera
Tanzania [10]

Answer:

speed is 2t - 5

velocity is 2t - 5

a = 2 m/s²

Step-by-step explanation:

Given the position of a particle expressed as:

s(t) = t^2 - 5t + 1

speed v = ds/dt

ds/dt = 2t - 5

Hence the speed is 2t - 5

velocity can also  be expressed as the speed, hence, velocity is 2t - 5

Acceleration is the change in velocity with respect to time. Hence;

a = dv/dt

a = 2 m/s²

5 0
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