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dlinn [17]
3 years ago
14

What number should be added to the expression x^2 + 4x to change it into a perfect square trinomial?

Mathematics
2 answers:
Schach [20]3 years ago
8 0
X^2 + 4x
the number to be added is found by dividing the constant of x by 2
 and squared the number
so # to be added =  ( 4/2)²  =  4
the perfect square trinomial is
x² + 4x + 4    =    (x + 2 )²    which is a perfect square trinomial
I hope this help you
tiny-mole [99]3 years ago
3 0
He number that must be added is four because (x+2)^2=x^2+4x+4
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Nat2105 [25]

Answer:

We conclude that the mean IQ of her students is different from the national average.

Step-by-step explanation:

We are given that the national mean (μ) IQ score from an IQ test is 100 with a standard deviation (s) of 15.

The dean of a college want to test whether the mean IQ of her students is different from the national average. For this, she administers IQ tests to her 144 students and calculates a mean score of 113

Let, Null Hypothesis, H_0 : \mu = 100 {means that the mean IQ of her students is same as of national average}

Alternate Hypothesis, H_1 : \mu\neq 100  {means that the mean IQ of her students is different from the national average}

(a) The test statistics that will be used here is One sample z-test statistics;

               T.S. = \frac{Xbar-\mu}{\frac{s}{\sqrt{n} } } ~ N(0,1)

where, Xbar = sample mean score = 113

              s = population standard deviation = 15

             n = sample of students = 144

So, test statistics = \frac{113-100}{\frac{15}{\sqrt{144} } }

                             = 10.4

Now, at 0.05 significance level, the z table gives critical value of 1.96. Since our test statistics is more than the critical value of z which means our test statistics will fall in the rejection region and we have sufficient evidence to reject our null hypothesis.

Therefore, we conclude that the mean IQ of her students is different from the national average.

3 0
3 years ago
4x(x-25)=0 how to solve the quadratic equations using any of the four methods?​
butalik [34]

Answer:

x=25 or x=0

Step-by-step explanation:

4x(x−25)=0

Step 1: Simplify both sides of the equation.

4x2−100x=0

For this equation: a=4, b=-100, c=0

4x2+−100x+0=0

Step 2: Use quadratic formula with a=4, b=-100, c=0.

x=−b±√b2−4ac over 2a

x=−(−100)±√(−100)2−4(4)(0) over 2(4)

x=100±√10000 over 8

x=25 or x=0

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doug got 8 out of 10 questions correct on his math quiz. If each question was worth the same number of points, and the test was
melamori03 [73]

Answer:

Each answer correct is 5 points so Doug got 40 points.

Step-by-step explanation:

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