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babymother [125]
3 years ago
12

If BY = 6, YC = 10, AX = 18, then XC = a: 10.8 b:5 c:30 d:48

Mathematics
2 answers:
NNADVOKAT [17]3 years ago
5 0

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

BY = 6, YC = 10, AX = 18,

Since we can use the Basic proportionality theorem which states that if a line is drawn i.e. XY parallel to one side of a triangle intersecting other 2 sides i.e. AC and BC, then it divides the two sides in the same ratio.

So,

\frac{CX}{AX}=\frac{CY}{BY}\\\\\frac{CX}{18}=\frac{10}{6}\\\\CX=\frac{18\times 10}{6}\\\\CX=3\times 10\\\\CX=30

The value of CX= 30

Hence, Option 'C' is correct.

vampirchik [111]3 years ago
3 0
To answer this item, we assume that the topic is in similar polygons such that the ratio of the corresponding sides should be equal. In this item,

    BY/YC = AX/XC

Substituting the known values,

    6/10 = 18/XC

The value of XC from the equation is 30. The answer is letter C. 
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FrozenT [24]

Answer:

The p value obtained was a low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of of driver fatalities related to alcohol is less from 0.77 or 77%.  

Step-by-step explanation:

1) Data given and notation n  

n=53 represent the random sample taken

X=35 represent the automobile driver fatalities in a certain county involved with an intoxicated driver

\hat p=\frac{35}{53}=0.660 estimated proportion of automobile driver fatalities in a certain county involved with an intoxicated driver

p_o=0.77 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 (variable of interest)

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 proportion of driver fatalities related to alcohol is less than 77% or 0.77 in Kit Carson:  

Null hypothesis:p\geq 0.77  

Alternative hypothesis:p < 0.77  

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 \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.660 -0.77}{\sqrt{\frac{0.77(1-0.77)}{53}}}=-1.903

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This methos 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 an unilateral lower test the p value would be:  

p_v =P(z  

So the p value obtained was a low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of of driver fatalities related to alcohol is less from 0.77 or 77%.  

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What is the slope of a line that is parallel to the line y = 3/4x + 2?
Vlada [557]

Answer:

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Step-by-step explanation:

Parallel lines have same slopes.

8 0
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