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Svetllana [295]
3 years ago
10

Jack is building a square garden. Each side length measures 777 meters. Jack multiplies 7\times77×77, times, 7 to find the amoun

t of space in his garden is equal to 494949 square meters. Which measurement does 494949 square meters represent?
Mathematics
2 answers:
Sophie [7]3 years ago
8 0
494949 would be the area bc it’s the space inside of his garden
Klio2033 [76]3 years ago
7 0
Its the area of his garden
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Eighty-seven decreased by three times a number is greater than one hundred sixty-five
fenix001 [56]
This is the concept of algebra, we are required to find a number,x, such that 87 decreased by three times a number is great than one hundred and sixty-five.

Supposed the number is x, three times the number will be:
3*x=3x
thus;
87-3x≥165
-3x≥165-87
-3x≥78
dividing both sides by -3 we get:
(-3x)/(-3x)≥78/(-3)
x≤-26
This implies that the number is less than or equal to 26
5 0
2 years ago
A charity receives 2025 contributions. Contributions are assumed to be mutually independent and identically distributed with mea
uysha [10]

Answer:

The 90th percentile for the distribution of the total contributions is $6,342,525.

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.

For sums of size n, the mean is \mu*n and the standard deviation is s = \sqrt{n}*\sigma

In this question:

n = 2025, \mu = 3125*2025 = 6328125, \sigma = \sqrt{2025}*250 = 11250

The 90th percentile for the distribution of the total contributions

This is X when Z has a pvalue of 0.9. So it is X when Z = 1.28. Then

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

By the Central Limit Theorem

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

1.28 = \frac{X - 6328125}{11250}

X - 6328125 = 1.28*11250

X = 6342525

The 90th percentile for the distribution of the total contributions is $6,342,525.

3 0
2 years ago
At an ice cream social, 56 people ordered chocolate ice cream while 32 people ordered vanilla
Delicious77 [7]
A) 56:32
= 7:4 (simplified)
6 0
2 years ago
I hate copy and pastes​
tangare [24]

Answer:

why they're so helpful

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
In the following equation the letter x is known as the:<br> 3x+1=10
hoa [83]

Answer: X = 9

Step-by-step explanation:

First, Take 1 away from 10. 10 - 1 = 9. Then divide 9 by three. 9 divided by three is 3, so X = three.

6 0
3 years ago
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