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2 years ago

Pythagorean theorem to find the length of the hypotenuse in the triangle 16 30

Mathematics

1 answer:

pishuonlain [190]2 years ago

3 0

Answer:

the answer is 34.

Step-by-step explanation:

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Mike withdrew $32 from his bank account. The transaction slip said his balance was $289.14. What was his previous balance?

Temka [501]

<span>His previous balance was $321.14
289.14 + 32 = 321.14

hope this helps
</span>

4 0

2 years ago

Subtract 2xy-8 from 5x^2+3xy+12

JulijaS [17]

Answer:

5x^2 + xy + 20

Step-by-step explanation:

Begin with 5x^2+3xy+12, Subtracting 2xy yields 5x^2 + xy + 12. Next, subtracting -8 yields 5x^2 + xy + 12 - (-8), or 5x^2 + xy + 20

3 0

2 years ago

A computer manufacturing company has sent a mail survey to 2,800 of its randomly selected customers that have purchased a new la

vodka [1.7K]

Answer:

The 96% confidence interval for the population proportion of customers satisfied with their new computer is (0.77, 0.83).

Step-by-step explanation:

We have to calculate a 96% confidence interval for the proportion.

We consider the sample size to be the customers that responded the survey (n=800), as we can not assume the answer for the ones that did not answer.

The sample proportion is p=0.8.

$p=X/n=640/800=0.8$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.8*0.2}{800}}\\\\\\ \sigma_p=\sqrt{0.0002}=0.014$

The critical z-value for a 96% confidence interval is z=2.054.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_p=2.054 \cdot 0.014=0.03$

Then, the lower and upper bounds of the confidence interval are:

$LL=p-z \cdot \sigma_p = 0.8-0.03=0.77\\\\UL=p+z \cdot \sigma_p = 0.8+0.03=0.83$

The 96% confidence interval for the population proportion is (0.77, 0.83).

4 0

2 years ago

Given that f(x) = x2 + 10x + 21 and g(x) = x + 7, find (f•g)(x) and express

sammy [17]

Answer:

Step-by-step explanation:

$given \\ f(x) = x ^{2} + 10x + 21 \: and \: g(x) = x + 7$

$as \: we \: know \: (f.g)x \: is \: same \: as$

$f(g(x))$

$so \:$

$f(x + 7) = ( x + 7) ^{2} + 10(x + 7) + 21$

$f(x + 7) = {x}^{2} + 14x + 49 + 10x + 70 + 21$

$f(x + 7) = x^{2} + 24x + 140$

$therefore$

$(f.g)x = {x}^{2} + 24x + 140$

3 0

2 years ago

A randomly generated list of numbers from 0 to 4 is being used to simulate an event, with the numbers 3 and 4 representing a suc

anzhelika [568]

The answers seems like 1/2?

5 0

2 years ago