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STALIN [3.7K]
3 years ago
6

Given the functions f(x) = 3x²+5x-8 and g(x) = 2x²+4x-9 Find f(x) + g(x) and g(x) -f(x)

Mathematics
1 answer:
evablogger [386]3 years ago
4 0
F(x) + g(x) = 5x^2 + 9x - 17; g(x) -f(x) = -x^2 -x -1
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Hey can you please help me posted picture of question
SpyIntel [72]
We are to find the Probability the someone buys a book that is paperback and fiction.

Let P(F) represents the event that the book is fiction and P(P) represents the event that the book is paperback. We are to find P(F∩P)

P(F∩P) = P(F) x P(P)

From the tree diagram we can see that:

P(F) = 0.45
P(P) = 0.65

Using the values, we get:

P(F∩P) = 0.45 x 0.65 = 0.2925

So, the Probability the someone buys a book that is paperback and fiction is 0.2925.

So, option B gives the correct answer
3 0
3 years ago
Use the Multiplication Property of Equality to complete the following statement: If , 4x divided by 2 = 4
vovangra [49]

Answer:

then x = 2.

Step-by-step explanation:

4 multiplied by 2 = 8

8 divided by 2 equals 4

Putting it together:

4(2)/2=4

4 0
4 years ago
Read 2 more answers
PWEASE HELP, AREA OF A TRAPEZOID
sdas [7]

Answer:

34 m²

Step-by-step explanation:

4 0
3 years ago
Find the output, kkk, when the input, ttt, is -7−7minus, 7.<br> k = 10t-19k=10t−19
Sati [7]

The output k at input t = -7 is -89

Step-by-step explanation:

In order to find the value of a expression on given number, we put the number in given expression in place of independent variable

So,

Given expression is:

k = 10t-19

It is given that the value of t has to be -7

so putting t=-7 in the expression

k = 10(-7)-19\\k = -70-19\\k = -89

Hence,

The output k at input t = -7 is -89

Keywords: Expressions, input, output

Learn more about expressions at:

  • brainly.com/question/9723881
  • brainly.com/question/9720317

#LearnwithBrainly

8 0
3 years ago
Read 2 more answers
Solve the problem. Use the Central Limit Theorem.The annual precipitation amounts in a certain mountain range are normally distr
bazaltina [42]

Answer:

0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.

Step-by-step explanation:

To solve this question, we use 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 establishes 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.

Mean of 109.0 inches, and a standard deviation of 12 inches.

This means that \mu = 109, \sigma = 12

Sample of 25.

This means that n = 25, s = \frac{12}{\sqrt{25}} = 2.4

What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches?

This is the p-value of Z when X = 112. So

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

By the Central Limit Theorem

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

Z = \frac{112 - 109}{2.4}

Z = 1.25

Z = 1.25 has a p-value of 0.8944.

0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.

7 0
3 years ago
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