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denpristay [2]
2 years ago
5

{3х + 4y = 6{7х + 8y = 10​

Mathematics
1 answer:
AleksandrR [38]2 years ago
3 0
(-2,3) or x = -2, y = 3
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Name the legs of abc
Diano4ka-milaya [45]
It looks as if "B" is the right angle so
AC is the hypotenuse
AB and BC are the legs


3 0
3 years ago
Suppose that in one region of the country the mean amount of credit card debt perhousehold in households having credit card debt
kvv77 [185]

Answer:

The probability that the mean amount of credit card debt in a sample of 1600 such households will be within $300 of the population mean is roughly 0.907 = 90.7%.

Step-by-step explanation:

To solve this question, we have 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 random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 15250, \sigma = 7125, n = 1600, s = \frac{7125}{\sqrt{1600}} = 178.125

The probability that the mean amount of credit card debt in a sample of 1600 such households will be within $300 of the population mean is roughly

This probability is the pvalue of Z when X = 1600 + 300 = 1900 subtracted by the pvalue of Z when X = 1600 - 300 = 1300. So

X = 1900

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

By the Central Limit Theorem

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

Z = \frac{1900 - 1600}{178.125}

Z = 1.68

Z = 1.68 has a pvalue of 0.9535.

X = 1300

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

Z = \frac{1300 - 1600}{178.125}

Z = -1.68

Z = -1.68 has a pvalue of 0.0465.

0.9535 - 0.0465 = 0.907.

The probability that the mean amount of credit card debt in a sample of 1600 such households will be within $300 of the population mean is roughly 0.907 = 90.7%.

7 0
3 years ago
The Experssion for 629​
Diano4ka-milaya [45]

iedikdtep-by-step explanation:

4 0
3 years ago
X+0.2=2/5<br> what is x?
Gnesinka [82]

Answer:

x=0.2

Step-by-step explanation:

2/5=0.4

0.4-0.2=0.2

3 0
3 years ago
Read 2 more answers
Find the zeros of fhe function. Enter the solutions from least to greatest. f(x)=(x-2)^2-9
dangina [55]

Answer:

5, -1

Step-by-step explanation:

set the given equation equal to 0.

add 9 to both sides

take the square root of both sides and remove the exponent on left side.

x-2 = +3

x-2= -3

solve for x (for each equation)

x= 5, x= -1

3 0
3 years ago
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