MATHEMATICS HIGH SCHOOL

If quadrilateral ABCD is a parallelogram, what are the correct values for x and y? x = 30, y = 3 x = 30, y = 2 x = 70, y = 2 x = 70, y = 3

Answers

Answer 1

Answer:

Answer:

-70 is the correct answer

Step-by-step explanation:

To add fractions, find the LCD and then combine

Answer 2

Answer:

Answer:

-70 is your answer

Step-by-step explanation:

thanks

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The data in which table represents a linear function that has a slope of zero?

Answers

Answer:

the first option

Step-by-step explanation:

if you were to plot those points they make a straight horizontal line

Answer:

The first one.

Step-by-step explanation:

(x,y)

(-5,5)

(-4,5)

(-3,5)

(-2,5)

(-1,5)

y is the same for all the x's which will give you a horizontal line. Horizontal lines have a slope of 0.

8ducks for 23.60 blank per duck

Answers

Step-by-step explanation:

23.60÷8= 2.95

Each duck will be 2.95

Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 17. What percentage of people has an in score between 83 and 117

Answers

To find the percentage of people with an IQ score between 83 and 117, we need to find the area under the bell-shaped curve between these two scores.

First, we need to standardize the scores by subtracting the mean from each score and dividing by the standard deviation.

For a score of 83:

Standardized score = (83 - 100) / 17 = -1

For a score of 117:Standardized score = (117 - 100) / 17 = 1

Now, we can find the area under the curve between these standardized scores using a standard normal distribution table or calculator.

Using a standard normal distribution table, we can find the area for a standardized score of -1 as 0.1587. This represents the percentage of people below a score of 83.

Similarly, the area for a standardized score of 1 is 0.8413, representing the percentage of people below a score of 117.

To find the area between these two scores, we subtract the area below 83 from the area below 117:

0.8413 - 0.1587 = 0.6826

So approximately 68.26% of people have an IQ score between 83 and 117.

Find the exact volume of the sphere use alt +227 or pi for pi as needed

Answers

Answer: The volume of the sphere is 113.04 in^3

Step-by-step explanation:

For a sphere of radius R, the volume is written as:

V = (4/3)*pi*R^3

where pi = 3.14159265...

We can use pi = 3.14

Here we can see that the radius of the sphere is 3 inches, then the volume of the sphere is:

V = (4/3)*3.14*(3 in)^3 = 113.04 in^3

Find all values of k so that the trinomial x^2 + kx - 35 can be factored using integers

Answers

$(x-r_1)(x-r_2)=x^2-(r_1+r_2)x+r_1r_2$

So the trinomial $x^2+kx-35$ can be factored as long as

$\begin{cases}r_1+r_2=-k\nr_1r_2=-35\end{cases}$

has integer solutions for $r_1,r_2$ . Clearly, both have to be factors of -35, which leaves only a handful of cases:

$(r_1,r_2)=(1,-35)\implies r_1+r_2=-34$
$(r_1,r_2)=(-1,35)\implies r_1+r_2=34$
$(r_1,r_2)=(5,-7)\implies r_1+r_2=-2$
$(r_1,r_2)=(-5,7)\implies r_1+r_2=2$

So the possible values of $k$ are $\pm34$ and $\pm2$ .

Write 1 and 1/3 as an improper fraction

Answers

The improperfraction of 1(1/3) is 4/3.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

1 and 1/3

An improperfraction means the numerator is greater than the denominator.

So,

1 and 1/3

= 1(1/3)

= (3 x 1 + 1) / 3

= 4/3

4 > 3 so it is an improperfraction.

Thus,

The improperfraction of 1(1/3) is 4/3.

Learn more about fractions here:

brainly.com/question/24370499

#SPJ5

Answer:

4/3

Step-by-step explanation:

to change a mixed number to an improper fraction, you have to multiply the denominator by the whole number and add the numerator to the product. This is your numerator. The denominator stays the same.

Thus,

Numerator = 3 x 1 +1 = 4

Denominator = 3

Fraction = 4/3

Hope this helps.

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