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exis [7]
3 years ago
12

You are selling tickets to a play. You have sold (3t + 2) tickets for $5 each and

Mathematics
2 answers:
kati45 [8]3 years ago
8 0

Answer:

a.) 5(3t+2)+ 7(2t+5)

b.) 15t+10+14th+35

c.) $132

Step-by-step explanation:

a.) 5(3t+2)+ 7(2t+5)

b.) 15t+10+14th+35

Simplify to :

29t+45

c.) Substitute

29(3) +45

87+45=132

$132

Lady bird [3.3K]3 years ago
7 0

Answer:

REVENGE

Step-by-step explanation:

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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
4 years ago
What is the scale factor that takes the large triangle to the small triangle?
Lerok [7]

Step-by-step explanation:

such a scale factor applies to all sides and lines.

we see that DE is 12 units, and AB is 4 units.

so,

12×f = 4

f = 4/12 = 1/3 is the scale factor

control : check the other side

FE = 6 units

6 × 1/3 = 2

so, the corresponding side in the small triangle must be 2 units long.

and indeed, CB is 2 units long. all correct.

5 0
2 years ago
You paint 1/2 wall in 1/4hour At that rate how long will it take you to paint one wall
3241004551 [841]

Answer:

half hour

Step-by-step explanation:

Do 1 fourth times two

8 0
3 years ago
On the blueprint of a house, 42 millimeters represents 8 meters. The actual length of the living room is 5 meters. What is its l
RideAnS [48]

Answer:

26.25 mm

Step-by-step explanation:

On the blueprint of a house, 42 millimeters represents 8 meters. Thus,

42 mm - 8 m,

x mm - 5 m,

mathematically,

\dfrac{42}{x}=\dfrac{8}{5},\\ \\42\cdot 5=8x,\\ \\x=\dfrac{210}{8}=\dfrac{105}{4}=26.25\ mm.

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3 years ago
Sonia is standing between two buildings. The building to her left is 112 feet tall and the building to her right is 78 feet tall
djverab [1.8K]

I give up on this one because it is so hard

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