MATHEMATICS HIGH SCHOOL

What is
x=5y-1
x+2y=13

Answers

Answer 1
Answer: x=5y-1
x+2y=13 => 5y -1 +2y = 13 => 7y = 14 => y = 2 => x = 9;
Answer 2
Answer:

Answer: x = 9, y = 2

Step-by-step explanation:

plug in values and solve.

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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:

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.

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

A book sold 38.400 copies in its first month of release. Suppose this represents 7.3% of the number of copies sold todate. How many copies have been sold to date?Round your answer to the nearest whole number

Answers

Since 38400 is 7.3% of the number of copies, then we can calculate the total number of copies with:

38400*100/7.3 = 526027.39. Rounded to the nearest whole number we have: 526027

The answer is 526027

Can you guys help me with this too? Thank you :)))

Answers

Answer:

x = 10

Step-by-step explanation:

First look at the big overall triangle.

It has a right angle and another angle of 44; therefore the missing angle is (since the sum of angles inside a triangle is 180)

180 - 90 - 44 = missing angle

missing angle (top) = 46; now the angle of a straight line is 180 and they give you 56° which  has a supplementary angle of 180 - 56 = 124°.

Now we know that the triangle that include the x has angles 46° (missing top angle), and supplementary angle of 124°.  Therefore

x = 180 - 46 - 124

x = 10

What type of numbers represent parts of a whole?

fractions
integers
decimals

Answers

The fraction is made up of two parts: the numerator and the denominator. The numerator defines how many equal parts there currently are, and the denominator defines how many of those equal parts create a whole. From that understanding alone, the answer would be "fractions".

Irina predicted that she would sell 75 books, but she actually sold 95 books. Which expression would find the percent error? Use the table below to help answer the question.

Answers

There is no image of the table given.

Given:
approximate number = 75 
exact number = 95

error = |approximate number - exact number| ÷ exact number
error = |(75-95)| / 95 = |20| / 95 = 0.21

percentage of error = 0.21 x 100% = 21%

Answer:

Given:

approximate number = 75

exact number = 95

error = |approximate number - exact number| ÷ exact number

error = |(75-95)| / 95 = |20| / 95 = 0.21

percentage of error = 0.21 x 100% = 21%

A bag contains 12 pieces of candy, all the same size. Four of the candies are lemon flavored. Which approach would be best to find the probability of randomly drawing a lemon-flavored piece of candy? A. subjective approach B. classical approach C. relative frequency approach

Answers

Answer: Relative frequency approach

Step-by-step explanation:

In relative frequency of an event  is defined as the number of times that the event occurs during experimental trials, divided by the total number of trials conducted in the given event.

That is if there are total 9 boys in which 4 are from Us.

Then the probability of choosing a boy of Us= Number of boys from US/ total number of boys= 4/9

In our question, we have total  pieces of candy= 12

In which lemon-flavored piece of candy = 4

the probability of randomly drawing a lemon-flavored piece of candy= 4/12

= lemon-flavored piece of candy/ total  pieces of candy

Thus, we are using relative frequency approach for finding the probability.

Therefore, Option C is correct.

Answer:

Classical approach.

I just took the test.
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