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soldi70 [24.7K]
2 years ago
14

A student is deriving the quadratic formula. Her first two steps are shown. Step 1: –c = ax2 + bx Step 2: -c = a[x^2+b/ax] Which

best explains or justifies Step 2? division property of equality factoring the binomial completing the square subtraction property of equality
Mathematics
2 answers:
marta [7]2 years ago
6 0

Given choices:

(1) division property of equality

(2) factoring the binomial

(3)completing the square

(4)subtraction property of equality

Answer : (2) factoring the binomial

Step 1: -c = ax^2 + bx

Step 2:-c = a[x^2+\frac{b}{a} x]

In step 2, 'a' is taken out from ax^2 + bx. when we take out 'a' we divide each term by 'a'. so it becomes a[x^2+\frac{b}{a} x]

'a' is factored out in step 2. we call it as factoring a binomial.



kumpel [21]2 years ago
6 0

Answer:

answer is B

Step-by-step explanation:

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7 3/4 × 3/4 = So u add 3×3=9
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Then you add that 7 you left out with 9/16
But just the 9 not the 16
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54

Step-by-step explanation:

Estimate=Population size × Sample proportion

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In the number 652.12, how does the value of the 2 in the hundredths place compare to the value of the 2 in the ones place?
Darina [25.2K]

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2 years ago
Suppose you can somehow choose two people at random who took the SAT in 2014. A reminder that scores were Normally distributed w
Sindrei [870]

Answer:

22.29% probability that both of them scored above a 1520

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 1497, \sigma = 322

The first step to solve the question is find the probability that a student has of scoring above 1520, which is 1 subtracted by the pvalue of Z when X = 1520.

So

Z = \frac{X - \mu}{\sigma}

Z = \frac{1520 - 1497}{322}

Z = 0.07

Z = 0.07 has a pvalue of 0.5279

1 - 0.5279 = 0.4721

Each students has a 0.4721 probability of scoring above 1520.

What is the probability that both of them scored above a 1520?

Each students has a 0.4721 probability of scoring above 1520. So

P = 0.4721*0.4721 = 0.2229

22.29% probability that both of them scored above a 1520

8 0
2 years ago
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