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3 years ago

Find the median of the following numbers: 195, 230, 200, 226

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

3 0

Answer: 213

Step-by-step explanation: The median is the middle number

in the data set when the data set is written from least to greatest.

So let's start with writing ur data set from least to greatest.

So we have 195, 200, 226, 230.

Notice that there are two middle numbers.

If there are two middle numbers in the data set,

we find the median by taking their average.

In other words, we add the two middle numbers and divide by two.

So we have 200 + 226/2 or 426/2 which is 213.

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Please help me. -1/2x+3=-x+7

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Answer:

x=8

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

-1/2*x+3-(-x+7)=0

simplify 1/2

((0 - (1/2• x)) + 3) - (7 - x) = 0

Adding a whole to a fraction

Rewrite the whole as a fraction using 2 as the denominator :

3 3 • 2

3 = — = —————

1 2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-x + 3 • 2 6 - x

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——————— - (7 - x) = 0

ubtracting a whole from a fraction

Rewrite the whole as a fraction using 2 as the denominator :

7 - x (7 - x) • 2

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Adding up the two equivalent fractions

(6-x) - ((7-x) • 2) x - 8

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When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

x-8

——— • 2 = 0 • 2

Now, on the left hand side, the 2 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

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3 years ago

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Which of the following uses the distributive property correctly?

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According to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that h

shepuryov [24]

Answer:

The probability that exactly one of these mortgages is delinquent is 0.357.

Step-by-step explanation:

We are given that according to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure.

A random sample of eight mortgages was selected.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 8 mortgages

r = number of success = exactly one

p = probability of success which in our question is % of U.S.

mortgages those were delinquent in 2011, i.e; 8%

LET X = Number of U.S. mortgages those were delinquent in 2011

So, it means X ~ $Binom(n=8, p=0.08)$

Now, Probability that exactly one of these mortgages is delinquent is given by = P(X = 1)

P(X = 1) = $\binom{8}{1}\times 0.08^{1} \times (1-0.08)^{8-1}$

= $8 \times 0.08 \times 0.92^{7}$

= 0.357

Hence, the probability that exactly one of these mortgages is delinquent is 0.357.

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Answer:

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Step-by-step explanation:

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3 years ago

Find the median of the following numbers: 195, 230, 200, 226​

Find the median of the following numbers: 195, 230, 200, 226