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Sati [7]
3 years ago
5

Distribute and evaluating (X + 6) (x - 3)

Mathematics
2 answers:
sesenic [268]3 years ago
7 0

Answer:

x^2+3x-18

Step-by-step explanation: hoped I helped

IgorLugansk [536]3 years ago
7 0

Answer: x^{2} +3x-18

Step-by-step explanation:

<em>First, let's take our given (x+6)(x-3)</em>

<em>Now distribute</em>

<em />x^{2} -3x+6x-18\\combine\\x^{2} +3x-18<em />

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What is the value of x to the nearest tenth tan 64 degrees = x/7
Setler [38]
Tan64°=x/4⇒x=14.35≈14.4
7 0
3 years ago
A Government company claims that an average light bulb lasts 270 days. A researcher randomly selects 18 bulbs for testing. The s
Fofino [41]

Answer:

31.92% probability that 18 randomly selected bulbs would have an average life of no more than 260 days

Step-by-step explanation:

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

Normal probability distribution

When the distribution is normal, we use 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.

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}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

In this question, we have that:

\mu = 270, \sigma = 90, n = 18, s = \frac{90}{\sqrt{18}} = 21.2

What is the probability that 18 randomly selected bulbs would have an average life of no more than 260 days?

This is the pvalue of Z when X = 260. So

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

By the Central Limit Theorem

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

Z = \frac{260 - 270}{21.2}

Z = -0.47

Z = -0.47 has a pvalue of 0.3192.

31.92% probability that 18 randomly selected bulbs would have an average life of no more than 260 days

5 0
3 years ago
For breakfast, Randy had two Egg McMuffins and a hash brown, to taling 750 calories . Jack only had on e Egg McMuffin and a hash
Delvig [45]
Let us assign variables.
Let x = egg mcmuffins
Let y = hash brown

Randy had:
2x + y = 750

Jack had
x + y = 450

Using systems of linear equation, we can get the value for x and y by elimination. Subtract the equations.
2x + y = 750
x + y = 450
--------------
x = 300

Get y
x + y = 450
300 + y = 450
y = 150.

So there are 300 calories for McMuffins and 150 calories for hash brown.
4 0
3 years ago
What do you already know about linear relationships?
inna [77]

Answer:

A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.

8 0
3 years ago
A dessert recipe calls for 2.5 cups of milk and makes 5 servings how many cups of milk are needed for 8 servings
melisa1 [442]

Answer:

4 cups

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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