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Eddi Din [679]
3 years ago
13

Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?

Quadratic formula: x = -b
Mathematics
1 answer:
ZanzabumX [31]3 years ago
3 0

Answer:

shows correct substitution of the values a, b, and c  from the given quadratic equation    into quadratic formula.

Step-by-step explanation:

Given: The quadratic equation

We have to show the correct substitution of the values a, b, and c from the given quadratic equation    into quadratic formula.

The standard form of quadratic equation is  then the solution of quadratic equation using quadratic formula is given as

Consider the given  quadratic equation

Comparing with general  quadratic equation, we have

a = -3 , b = -2 , c = 6

Substitute in quadratic formula, we get,

Simplify, we have,

Thus,  and x_{2}=\frac{2-\sqrt{76} }{-6}

Simplify, we get,

Thus,  shows correct substitution of the values a, b, and c  from the given quadratic equation    into quadratic formula.

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Either use technology to find the P-value or use
Akimi4 [234]

Answer:

The first step is calculate the degrees of freedom, on this case:  

df=n-1=21-1=20  

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

p_v =P(t_{(20)}  

And we can use the following excel code to find it: "=T.DIST(-0.024,20,TRUE)"

Step-by-step explanation:

Data given and notation  

\bar X represent the mean

s represent the sample standard deviation

n=21 sample size  

\mu_o =140 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t=-0.024 would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean for the widths of tornadoes is lower than 140 yd, the system of hypothesis would be:  

Null hypothesis:\mu \geq 140  

Alternative hypothesis:\mu < 140  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

The statistic is given by: t = -0.024

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=21-1=20  

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

p_v =P(t_{(20)}  

And we can use the following excel code to find it: "=T.DIST(-0.024,20,TRUE)"

Based on the p value obtained we can conclude that we FAIL to reject the null hypothesis at any significance level selected \alpah=0.01,0.05,0.1

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Jane is building a tank for her pet snake. The tank’s minimum length should equal two-thirds of the snake’s length, and the tank
Studentka2010 [4]
The dimensions should be 1  2/3 feet by   1  1/2 feet.

To find these amounts, we simply multiply the length of the snake by the given fraction.

For the length, multiply by 2/3.

For the width, multiply by 1/2.
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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If A is a 5 by 7 matrix, what is the maximum rank that A can have?
amm1812

Answer:

5

Step-by-step explanation:

Remember, the rank of a matrix is the number of pivots or number of rows different of zero in the echelon form of the matrix.

Then, if A is a matrix 5\times 7 the maximum number of pivots that can have is one by row, that is, 5.

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