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Mashcka [7]
2 years ago
5

PLEASE HELP ME

Mathematics
1 answer:
Yanka [14]2 years ago
8 0

Answer:

D "Matt wants to spend no more than" That indicates that it would be Less Than or = to

Step-by-step explanation:

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Match each area to its corresponding radius or diameter of the circle.(All areas are approximate.) )
MA_775_DIABLO [31]

Answer:

<u>Radius: 12 units </u>

  • Area: πr² = 3.14*12² = 452.16 square units

<u>Diameter: 16.8 units</u>

  • Area: πd²/4 = 3.14*16.8²/4 = 221.5584 square units

<u>Radius: 3.4 units</u>

  • Area: πr² = 3.14*3.4² = 452.16 square units  

<u>Diameter: 10 units</u>

  • Area: πd²/4 = 3.14*10²/4 = 78.5 square units
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2 years ago
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A local restaurant offers a deal if you purchase 3 medium pizzas you get 2 side dishes for free if you get a total of 8 side dis
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11 you count by 3 with the pizzas and 2 with the side dishes
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3 years ago
Workers on the assembly line produce 4x + 6 boats each day. Which expression shows how many boats they produced in 12 days?
Annette [7]
We're going to assume that x = # of days.
Plug 12 in as x:
4 × 12 = 48
48 + 6 = 54
They produced 54 boats in 12 days.
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In a right triangle, the expression sin 47° is equal to what?​
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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
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