Question

An inequality is shown.
4.3 < _ select all the values that could be the unknown number in the inequality.

Answer 1

A. √15
B. √22
C. 3√17
D. 3√97
E. 3/2n
Which ones?

Answer 2

A table representing a linear relationship is shown.
x y
2 2
4 7
6 12
What is the slope of the line

Answer 3

An expression is shown.
(2.49 × 10^-2) + (3.15 × 10^-3) + (1.02 × 10^-2)
What is the value of the expression in a standard form

Answer 4

The graph of a linear relationship has a y-intercept at (0, 4) and passes through the point (2, 5).
Create an equation that represents the linear relationship.

Answer 5

Johan tosses a fair coin 40 times
What is a reasonable prediction for the number of times Johan can expect the coin to land heads up

Answer 6

Any value greater than 4.3 could be the unknown number in the inequality.

Answer 7

To determine which values could be the unknown number in the inequality, we need to compare them to 4.3.

A. √15 ≈ 3.872
B. √22 ≈ 4.695
C. 3√17 ≈ 7.873
D. 3√97 ≈ 14.071
E. 3/2n (where n is any arbitrary value)

From these options, only B and D are greater than 4.3. Therefore, the values that could be the unknown number in the inequality are:

B. √22
D. 3√97

Answer 8

To find the slope of the line, we can use the formula:

slope = (change in y) / (change in x)

Let's calculate the change in y and change in x:

change in y: 7 - 2 = 5
change in x: 4 - 2 = 2

Now, we can calculate the slope:

slope = (5) / (2) = 2.5

Therefore, the slope of the line is 2.5.

Answer 9

To find the value of the expression in standard form, we need to add the given numbers together.

(2.49 × 10^-2) + (3.15 × 10^-3) + (1.02 × 10^-2)

Using scientific notation, we can rewrite the numbers with the same exponent:

2.49 × 10^-2 + 3.15 × 10^-3 + 1.02 × 10^-2

Now, let's add the numbers without the exponents:

0.0249 + 0.00315 + 0.0102

Adding these numbers together, we get:

0.03825

To write this in standard form, we need to move the decimal point to have only one digit to the left of the decimal:

3.825

Therefore, the value of the expression in standard form is 3.825.

Answer 10

To create an equation that represents the linear relationship, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept.

We are given the y-intercept of (0, 4). This means that when x = 0, y = 4. So, b = 4.

We are also given a point on the line: (2, 5). We can use this point to find the slope (m) using the formula:

m = (change in y) / (change in x)

(change in y) = 5 - 4 = 1
(change in x) = 2 - 0 = 2

So, m = 1/2.

Now, we can substitute the values of m and b into the equation y = mx + b:

y = (1/2)x + 4

Therefore, the equation that represents the linear relationship is y = (1/2)x + 4.

Answer 11

Since the coin is fair, we can reasonably predict that Johan can expect the coin to land heads up approximately half the time.

Therefore, a reasonable prediction for the number of times Johan can expect the coin to land heads up out of 40 tosses would be around 20 times.