N the diagram, the ratios of two pairs of corresponding sides are equal.

Answer:

The correct selection is 1.

Step-by-step explanation:

The histogram indicates that

In the 5-10 age group, there are 7 students.

In the 11-13 age group, 5 students are represented.

In the 14-18 age category, 4 students are included.

This implies that the ages of 7 students fall within the 5-10 range, 5 students within the 11-13 range, and 4 students within the 14-18 range.

The total count in the dataset is

In options 3 and 4, the counts in the datasets are fewer than 16. Hence, options 3 and 4 are invalid.

Option 2 exclusively contains data within the 5-10 range, making it incorrect as well.

In option 1,

Class intervals      elements           frequency

5-10                    5,6,7,8,9,10,10           7

11-13                  11,11,12,12,13            5

14-18                    14,14,15,16              4

Based on the above table, we can determine that data set 1 is represented in the provided histogram.

Thus, the answer is option 1.

Answer:

Upper limit: 3.116

Lower limit: 3.125

Step-by-step breakdown:

The random circle drawn by Hellen has a circumference of C=405 mm, measured to 3 significant figures, leading to a diameter, d, of 130 mm, accurate to 2 significant figures.

We utilize the formula

Substituting in the figures provides:

Consequently, Hellen’s value for π is recorded as 3.115 to three decimal places.

To find both limits, we divide the specified level of precision by two.

This figure is then added to the rounded number to determine the upper limit:

3.115+0.0005=3.1155

The lower limit calculates as 3.115-0.0005=3.1145

A normal distribution is most effective when dealing with a substantial sample size. Without knowing how many containers there are, it's challenging to determine if it’s suitable for modeling the container weights.

Answer:

Step-by-step explanation:

I'm fairly certain that addition is needed here.

When we combine two fractions like 3/4 + 3/4, we ensure that the denominators (the bottom parts) are identical before simply adding the numerators (the top parts).

In this case, the denominators match, so we straightforwardly combine 3+3 to get 6/4. The denominator remains the same.

               answer:

                      3/4 + 3/4    =   6/4

Hope this helps!

Define x as the distance in miles. This scenario can be expressed with the inequality 0.5x + 3 < 10, where x corresponds to the miles traveled. To solve this, begin by subtracting 3 from each side, followed by dividing everything by 0.5. The outcome indicates x < 14, meaning Carl can cover less than 14 miles, though he is 15 miles away from his destination; therefore, he will opt for a bus instead.