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muminat
3 years ago
15

Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the box. _(x-3)+2x=-

( x-5)+4 Which number should she place in the box?
1.)–3
2.)–1
3.)1
4.)3
Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
4 0
<span>In order for an equation to have an infinite number of answers, the simplified equation should be x=x. In evaluating the above equation, -3 inserted in the box results in this simplified equation. The answer is therefor #1: -3</span>
qaws [65]3 years ago
4 0

Answer:

A.: -3 is the correct answer

Step-by-step explanation:

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posledela

Answer:

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Vitek1552 [10]

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7

Step-by-step explanation:

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3 years ago
A ski resort gets an average of 2,000 customers per weekday with a standard deviation of 800 customers. Assume the underlying di
ladessa [460]

Answer:

0.62% probability that a ski resort averages more than 3,000 customers per weekday over the course of four weekdays

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 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.

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.

In this problem, we have that:

\mu = 2000, \sigma = 800, n = 4, s = \frac{800}{\sqrt{4}} = 400

Trobability a ski resort averages more than 3,000 customers per weekday over the course of four weekdays.

This is 1 subtracted by the pvalue of Z when X = 3000. So

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

By the Central Limit Theorem

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

Z = \frac{3000 - 2000}{400}

Z = 2.5

Z = 2.5 has a pvalue of 0.9938

1 - 0.9938 = 0.0062

0.62% probability that a ski resort averages more than 3,000 customers per weekday over the course of four weekdays

3 0
3 years ago
Can you help me it’s algebra 2 and I need the answers for like 5 more questions, it’s urgent like really urgent!!!!
nikitadnepr [17]

Answer:  B) as x → -5  from the left, y → -∞

                    as x → -5 from the right, y → +∞

<u>Step-by-step explanation:</u>

g(x) =\dfrac{x^2+15x+56}{x+5}\quad =\dfrac{(x+7)(x+8)}{x+5}\\\\\\\text{Evaluate from the left. Let x = -6}\rightarrow \dfrac{(-)(-)}{(-)}=-\\\\\\\text{Evaluate from the right. Let x = -4}\rightarrow \dfrac{(-)(-)}{(+)}=+

Refer to the graph which confirms that

  • from the left, y tends toward -∞
  • from the right, y tends toward + ∞

3 0
3 years ago
Multiply. Your answer should be a monomial in standard form. {(-t^7)(-t^5)}
allochka39001 [22]

Answer:

t^12

Step-by-step explanation:

Because both multiplicands are negative, their product will be positive.  Both multiplicands are to the same base:  t.

Therefore, the product is t^(7 + 5), or t^12.

6 0
3 years ago
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