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labwork [276]
3 years ago
6

Write a quadratic equation that has x-intercepts of -1/3 and 5/2

Mathematics
1 answer:
iogann1982 [59]3 years ago
6 0
<h2>Answer:6x^{2}-13x-5</h2>

Step-by-step explanation:

Given that the two roots of the quadratic equation are \frac{-1}{3} and \frac{5}{2}.

If \alpha,\beta are the roots of the quadratic equation,the equation is (x-\alpha )(x-\beta ).

It is given that \alpha =\frac{-1}{3} and \beta =\frac{5}{2}.

So,the equation is

(x-(\frac{-1}{3}))(x-\frac{5}{2})

=x^{2}-\frac{5}{2}x+\frac{x}{3}-\frac{5}{6}

=6x^{2}-13x-5

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A buyer went to the market to buy strawberries. He purchased 120 randomly selected strawberries from a vendor who claimed that n
mafiozo [28]

Answer:

z=\frac{0.333 -0.25}{\sqrt{\frac{0.25(1-0.25)}{120}}}=2.10  

p_v =P(z>2.10)=0.018  

At 5% of significance we can conclude that the true proportion of strawberries damage is higher than 0.25

Step-by-step explanation:

Data given and notation

n=120 represent the random sample taken

X=40 represent the number of strawberries damaged

\hat p=\frac{40}{120}=0.333 estimated proportion of strawberries damaged

p_o=0.25 is the value that we want to test

\alpha represent the significance level

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 no more than 25% of his total harvest of strawberries was damaged.:  

Null hypothesis:p\leq 0.25  

Alternative hypothesis:p > 0.25  

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.

Calculate the statistic  

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

z=\frac{0.333 -0.25}{\sqrt{\frac{0.25(1-0.25)}{120}}}=2.10  

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 right tailed test the p value would be:  

p_v =P(z>2.10)=0.018  

At 5% of significance we can conclude that the true proportion of strawberries damage is higher than 0.25

6 0
2 years ago
When solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation.
myrzilka [38]
Both are correct they just chose a different variable to solve for first. they will both get correct answers if they do the rest correctly.
5 0
3 years ago
Read 2 more answers
Evaluate ab + c for a = 2, b = 3, and c = 4.<br><br> 9<br> 10<br> 27
Kazeer [188]
Substituting the values given, we get
(2)*(3) + 4 ;
Using BODMAS
We get
6 + 4
= 10
6 0
3 years ago
Read 2 more answers
How do you get the number 43 with the numbers 2,3,6,8 with using all numbers and only using them once.
iren [92.7K]

Answer:

Multiply 8x6 and subtract 2 and 3

Step-by-step explanation:

8x6=48

48-3=45

45-2=43

8 0
3 years ago
B.
Alenkinab [10]

Answer:

If I'm correct I think 4 is the polygon

7 0
3 years ago
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