Answer:
see the pic for the steps
Alright, so we can start by writing it out by their signs.
Using PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction) and noting that the inequality comes last, we can write it as the sum of (addition), then three times (multiplication) a number and 4 (ties in with the sum of, making it also addition).Note that we know that "a number and 4" means addition because it doesn't state to do anything with it, and we don't know what "the sum of" referred to with numbers, so they match up. Therefore, we have multiplication (3 times a number=3 * number), then addition (3 times a number, or 3 * number, added to 4, or 3*number+4), and we can do the inequality. Between -8 and 10 means that it is greater than -8 and less than 10, as 10 is the larger number, writing it out as -8< (less than) 3*number+4 < (3*number+4 is less than 10, so we have another less than sign) 10. Subtracting 4 from everything using the subtraction property of equality, we get -12<3*number<6. Next, we can divide everything by 3 to separate the number and get -4<number<2.
Feel free to ask further questions!
Answer:
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and the number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 seconds
Step-by-step explanation:
The given table is presented as follows;
The number of laps in the range 82 to 84 seconds = 1
The number of laps in the range 84 to 86 seconds = 4
The number of laps in the range 86 to 88 seconds = 2
The number of laps in the range 88 to 90 seconds = 4
The number of laps in the range 90 to 92 seconds = 6
The number of laps in the range 92 to 94 seconds = 5
The number of laps in the range 94 to 96 seconds = 2
The number of laps in the range 96 to 98 seconds = 0
Therefore, the histogram that represents Blanca's lap times for the three days of practice is described as follows;
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and the number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 seconds
We need base
Apply Pythagorean theorem
- B²=H²-P²
- B²=135²-100²
- B²=18225-10000
- B²=8225
- B=90.697ft
- B=90.7ft
Using proportions, the expected number of adults in Palm City whose main source of news is the internet or newspaper is of 19,413.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
From the table, the proportion of adults in Palm City whose main source of news is the internet or newspaper is found as follows:
p = (62 + 88)/(62 + 88 + 128 +24 + 38) = 0.4412.
Hence, out of 44,000 adults, the expected number is found as follows:
0.4412 x 44000 = 19,413.
More can be learned about proportions at brainly.com/question/24372153
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