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klasskru [66]
3 years ago
13

Which graph represents 2x - 5 < 15

Mathematics
1 answer:
Nataliya [291]3 years ago
4 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

2x-5 < 15

Solve for the inequality

Adds 5 both sides

2x < 15+5

2x < 20

Divide by 2 both sides

x < 20/2

x < 10

The solution is the interval ------> (-∞,10)

All real numbers less than 10

In a number line , the solution is the shaded area at left of x=10 (open circle)

The graph in the attached figure

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2 years ago
You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly different from 0.36. With
Dafna11 [192]

Answer:

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.36 so then we need to conduct a two tailed test, the system of hypothesis are.:  

Null hypothesis:p=0.36  

Alternative hypothesis:p \neq 0.36  

Since is a bilateral test the p value would be:  

p_v =2*P(z>2.074)=0.0381  

Step-by-step explanation:

Data given and notation n  

n represent the random sample taken

\hat p estimated proportion of interest

p_o=0.36 is the value that we want to test

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 the true proportion is 0.36 so then we need to conduct a two tailed test, the system of hypothesis are.:  

Null hypothesis:p=0.36  

Alternative hypothesis:p \neq 0.36  

When we conduct a proportion test we need to use the z statisitc, 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  is significantly different from a hypothesized value .

Calculate the statistic  

For this case the statistic is given:

z = 2.074

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 next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z>2.074)=0.0381  

5 0
3 years ago
Rewrite f(x) into vertex form by completing the square f(x)=−x2+8x+9​
GalinKa [24]

Answer:

vertex  = ( 4  ,  25 )

Step-by-step explanation:

given a parabola in  standard form  y =  a x 2 + b x + c x ; a ≠ 0

then the x-coordinate of the vertex is

X vertex=-b/2a

y=-x2+8x+9 with a=-1 b=8 c=9

X vertex= -8/-2=4

substitute the value on the equation

Y vertex = -(4)squared+8(4)+9=25

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2 years ago
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