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spin [16.1K]
3 years ago
9

If 2x + a=b solve for x.

Mathematics
1 answer:
Vitek1552 [10]3 years ago
3 0

2x + a = b   Subtract a from both sides

2x = b - a   Divide both sides by 2

x = \frac{b - a}{2}

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Falling object formula: h=-16t+s
vitfil [10]

Answer:

  • 34.714 seconds

Step-by-step explanation:

<u>According to the question we have:</u>

  • Formula h = - 16t + s
  • h = 0
  • s = 555.427 ft
  • t = ?

<u>Substitute the given values and solve for t:</u>

  • 0 = - 16t + 555.427
  • 16t = 555.427
  • t = 555.427/16
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3 0
2 years ago
Each contestant in the Hunger Games must be trained to compete. Suppose that the time it takes to train a contestant has mean 5
LiRa [457]

Answer:

11.51% probability that it will take less than 450 days to train all the contestants.

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 the sum of n variables, the mean is \mu*n and the standard deviation is s = \sigma\sqrt{n}

In this question:

n = 100, \mu = 100*5 = 500, s = 4\sqrt{100} = 40

Approximate the probability that it will take less than 450 days to train all the contestants.

This is the pvalue of Z when X = 450.

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

By the Central Limit Theorem

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

Z = \frac{450 - 500}{40}

Z = -1.2

Z = -1.2 has a pvalue of 0.1151

11.51% probability that it will take less than 450 days to train all the contestants.

8 0
3 years ago
Roland’s Boat Tours sells deluxe and economy seats for each tour it conducts. In order to complete a tour, at least 1 economy se
Anna11 [10]

Answer:

$1170

Step-by-step explanation:

Let the sells for economy seats be =x

Let the sells for deluxe seats be=y

The inequalities that can be obtained are;

x≥1  --------------------at least 1 economy seats

y≥6 --------------------at least 6 deluxe seats

x+y=30-----------------maximum number of passengers allowed on each boat

Graph the inequalities

Use the graph tool to locate the point of maximum profit.The intersecting point for the three graphs

The point is (24,6)

Hence, x=24 and y=6

Profit for each

Economy seats 24×$40=$960

Deluxe seats 6×$35=$210

Maximum profit for one tour

$960+$210=$1170

3 0
3 years ago
Helpppppppppppp meeeeeee
MArishka [77]

Answer:

7

Step-by-step explanation:

4 0
3 years ago
Can some please help with this I will give brainliest.​
3241004551 [841]

Answer:

x^{-28}*7^{-56}

Step-by-step explanation:

Firstly, you need to know that raising a fraction to a power raises both the top and the bottom to that power.

Second, a negative power on the top and bottom flips the fraction

Last, raising a power to a power multiplies the powers

So, \frac{7^{-8^{7}}}{x^{4^7}}=\frac{7^{-56}}{x^{28}}=\frac{1}{x^{28}*7^{56}}=x^{-28}*7^{-56}

5 0
2 years ago
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