2 tables. Table 1 is titled Population data with entries 2, 4, 8, 5, 1, 1, 10, 5, 4, 2, 3, 3. Table 2 is titled Sample data with

The salsa consists of 65% tomatoes, which amounts to 5.2 cups.

Let’s denote the total salsa as "x" cups, representing 100%. Given that 5.2 cups makes up 65%, we have:

There are a total of 20,000 available numbers. To ascertain how many phone numbers are available, the number of digits in each number must be known. Here, I will assume each number has 7 digits. This leads to the format starting with either 373XXXX or 377XXXX, where each X can be any digit from 0 to 9. This results in 10 options for each X. Therefore, there are 10×10×10×10 = 10,000 distinct phone numbers starting with 373 and another 10,000 with 377, totaling 20,000 numbers.

Answer:

a) The distance covered halfway = 16.49 [m], while the displacement at that point = 10.5 [m]b)

The distance traveled increases

when the child finishes one lap around the track.

Step-by-step explanation:

a)

Distance is a scalar measurement

that indicates how much ground an object has traversed in motion. Contrarily, displacement is a vector measurement which describes how far an object is from its original position after moving.

In this scenario, the child travels halfway around the circular track from point 1 to point 2. We know that the circumference or perimeter of a circle can be calculated as 2*PI*radius. Since the child only covers half the distance, we need to divide the circumference by 2, leading to distance = PI*radius

The halfway distance = (PI)*(5.25) = 16.49 [m]

Considering the definition of displacement, it’s clear that the distance from point 1 to point 2 equals one diameter from the starting point:

The halfway displacement = D = 2*radius = 2(5.25) = 10.5 [m]

b) What occurs to the distance after the child completes one full circuit? The distance will increase since the child covers more ground during the full lap:

• The distance for one circuit = 2*(PI)*radius = 2(PI)(5.25) = 32.99 [m]

32.99 is greater than 16.49, confirming that the distance does indeed increase.

Answer:

Option 2  50 ≤ s ≤ 100

Option 5 She can make a deposit of $50

Option 6 She can make a deposit of $75

Detailed explanation:

Let

s represent the amount of money Layla puts into her savings account.

We know that

25% = 25/100 = 0.25

50% = 50/100 = 0.50

Thus

----->

----->

The compound inequality is

Check each case

case 1) 25 ≤ s ≤ 50

This statement is false

Refer to the procedure

case 2) 50 ≤ s ≤ 100

This statement is true

Refer to the procedure

case 3) s ≤ 25 or s ≥ 50

This statement is false

Because s ≤ 100 and s ≥ 50

case 4) s ≤ 50 or s ≥ 100

This statement is false

Because s ≤ 100 and s ≥ 50

case 5) She can make a deposit of $50

This statement is true

As the value of s meets the compound inequality  

case 6) She can make a deposit of $75

This statement is true

As the value of s meets the compound inequality