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Anna11 [10]
4 years ago
15

Use 425 x 79 = 33575 to work out 425 x 7.9

Mathematics
1 answer:
tester [92]4 years ago
5 0

Answer: \\ 425  \times 7.9 = 425 \times 79 \div 10 = 33575 \div 10 = 3357.5

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rosijanka [135]

Answer:

4,54

Step-by-step explanation:

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3 years ago
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Find the slope and write an equation of the line which passes through the points. (−3, 9) and (−3, −5)
Sedbober [7]

Answer:

Slope: undefined

Equation: x=-3

Step-by-step explanation:

To find the line that passes through the points, you first want to find the slope.  The formula for slope is m=\frac{y_2-y_1}{x_2-x_1}. Once we have the slope, we can use any given point to plug in to find the y-intercept.

m=\frac{-5-9}{-3-(-3)} =\frac{-14}{0}

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3 years ago
How to solve the equation 2x^2 -1 =5x?
Amanda [17]

<u>Answer:</u>

x = 2.68, x = -0.186

<u>Step-by-step explanation:</u>

We are given the following equation that we are to solve:

2 x ^ 2 - 1 = 5 x

Rearranging this quadratic equation to get:

2 x ^ 2 -5 x - 1 = 0

Solving it by using the quadratic formula as we cannot find any factors for it.

x= \frac{-b \pm \sqrt{b^2-4ac} }{2a}

x=\frac{-(-5) \pm (-5)^2-4(2)(-1)}{2(2)}

x=\frac{5 \pm\sqrt{25+8} }{4}

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7 0
3 years ago
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The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 1700 vot
lara [203]

Answer:

z=\frac{0.66 -0.63}{\sqrt{\frac{0.63(1-0.63)}{1700}}}=2.562  

p_v =P(z>2.562)=0.0052  

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Step-by-step explanation:

Data given and notation

n=1700 represent the random sample taken

\hat p=0.66 estimated proportion of voters that favored construction

p_o=0.63 is the value that we want to test

\alpha=0.02 represent the significance level

Confidence=98% or 0.98

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 percentage of residents who favor construction is more than 63%.:  

Null hypothesis:p \leq 0.63  

Alternative hypothesis:p > 0.63  

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.

Calculate the statistic  

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

z=\frac{0.66 -0.63}{\sqrt{\frac{0.63(1-0.63)}{1700}}}=2.562  

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=0.02. The next step would be calculate the p value for this test.  

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

p_v =P(z>2.562)=0.0052  

So the p value obtained was a very low value and using the significance level given \alpha=0.02 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that at 2% of significance the proportion of voters that favored construction is higher than 0.63 or 63%.

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Eduardwww [97]

Answer:

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x=1

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