MATHEMATICS HIGH SCHOOL

You have a coin collection of nickels and dimes containing 63 coins. If you have$5.05, how may of each coin do you have?

Answers

Answer 1

Answer:

Answer: 25 nickels

Step-by-step explanation:

EQUATIONS:

quantity: n + d = 63

value: 5n + 10d = 505

-------------------------

Divide thru the 2nd equation by 5 to get:

n + 2d = 101

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Subtract that from the 1st equation:

-d = -38

d = 38 (# of dimes)

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Substitute that into n+d=63 to solve for "n":

n + 38 = 63

n = 25 (# of nickels)

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Answers

Answer:

what grade is this jeez

Step-by-step explanation:

idk

What is the equation of the line with a slope of -1/2 that passses through the points (6,6)?

Answers

m = slope

Lets put this in point slope form, and slope intercept form.

y - 6 = -1/2(x - 6)
y - 6 = -1/2x + 3
+ 6 + 6

y = -1/2x + 9

Answer: y = -1/2x + 9

In a sample of 50 households, the mean number of hours spent on social networking sites during the month of January was 45 hours. In a much larger study, the standard deviation was determined to be 8 hours. Assume the population standard deviation is the same. Which of the statement below best describes that there is a 95% confidence interval for the mean hours devoted to social networking in January? A. The 95% confidence interval ranges from 8 to 45 hours. B. The 95% confidence interval ranges from 40.13 to 45.78 hours. C. The 95% confidence interval ranges from 43.87 to 46.13 hours. D. The 95% confidence interval ranges from 42.78 to 47.22 hours.

Answers

Answer:

D. The 95% confidence interval ranges from 42.78 to 47.22 hours.

Step-by-step explanation:

Here,

n = sample size = 50,

μ = mean = 45,

σ = standard deviation = 8,

We know that, confidence interval will be,

$=\mu\ \pm\ z(\sigma )/(√(n))$

For a confidence interval of 95%, we use z = 1.96, putting the values

$=45\ \pm\ 1.96(8)/(√(50))$

$=42.78,47.22$

D. The 95% confidence interval ranges from 42.78 to 47.22 hours.

To solve the interval, we used the upper and lower limit formulas wherein:
xbar = 45
z = 1.96
s = 8
n = 50

How do you divide A number with a remainder

Answers

We set up our problem with the long division symbol or the long division bracket. ...Divide the first number of the dividend by the divisor. ...The whole number result, 0, is placed on top to start the quotient. ...Next, subtract the bottom number from the top. ...Next, we bring down the next number of the dividend. hope i helped

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