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3 years ago

Nathanial is using the quadratic formula to solve 0=x^2+5x-6. His steps are shown below. What are the solutions to the equation?

Mathematics

1 answer:

ollegr [7]3 years ago

8 0

Answer:

x=1, x=-6

Step-by-step explanation:

x^2+5x-6=0 can be reduced to (x+6)(x-1)=0

we now have x+6=0 and x-1=0

solve by subtracting 6 from each side in the first equation and adding 1 to each side in the second.

x=1, x=-6

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Three of the choices are ways to express 0.50. Which is NOT?

Ganezh [65]

Option B

5 hundredths is not the way to express 0.50

<h3><u>Solution:</u></h3>

Given that Three of the choices are ways to express 0.50

To find: wrong option

Let us first write 0.50 in different ways

<h3><em><u>To convert a Decimal to a Fraction follow these steps: </u></em></h3>

Step 1: Write down the decimal divided by 1, like this: decimal 1.

Step 2: Multiply both top and bottom by 10 for every number after the decimal point. ...

Step 3: Simplify (or reduce) the fraction.

$\rightarrow 0.50 = \frac{0.50 \times 100}{100} = \frac{50}{100}$

$\frac{50}{100}$ means 50 hundredths

<h3>Therefore option D is correct</h3>

On simplifying $\frac{50}{100}$ we can write,

$\rightarrow \frac{50}{100} = \frac{5}{10} = \frac{1}{2}$

$\frac{1}{2}$ means one half

<h3>Therefore option A (one half) is correct</h3>

Similarly, \frac{5}{10} means 5 tenths

<h3>Therefore Option C is also correct</h3>

Thus the wrong option is B

<em><u>Justification:</u></em>

5 hundredths can be written as:

$\frac{5}{100} = 0.05$

Therefore option B is wrong

5 0

3 years ago

Find the area of the shape shown below.

sergey [27]

Answer:

Triangle ️ wdym if im doing it wrong

5 0

3 years ago

Read 2 more answers

g Annual starting salaries in a certain region of the U. S. for college graduates with an engineering major are normally distrib

algol13

Answer:

The probability that the sample mean would be at least $39000 is of 0.8665 = 86.65%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .