Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 6 (5 points) after successfully estimating the area of your ro…

Question

question 6 (5 points)
after successfully estimating the area of your room using the number of floor tiles along the walls and estimating the height of your room using the height of a person, you now want to find the volume of the room based off of those estimations. you estimated the area of your room to be 500 square feet and the height of your room to be 9 feet. using the formula below, what is the estimated volume of your room?
volume of a rectangular prism - lwh
40500 ft³
509 ft³
4500 ft³
1018 ft³
question 7 (3 points)
innumeracy is the lack of ability to understand and use numbers in calculations. what are some examples of the consequences of innumeracy?
a coworker decides to plan a lunch at work. after everyone has finished their lunch, there is enough food for everyone to have seconds and even thirds. if your coworker had been able to estimate the amount needed per person, then the food that was left over would be minimal.
you go to get a snack from the pantry, and you reach for the oreos. there is one oreo left in the container. you approach your roommate to ask why they left just one oreo in the container. your roommate said that she lost count of how many oreos that she had eaten. she didnt want to eat the last one, so she left it for you.
you decide to keep track of the money that you spend each month on eating out and also how much you spend on groceries each month. you want to compare the cost of eating out to the cost of cooking at home so that you can make better decisions when it comes to budgeting for food.
your friend designs a new product that claims to help people stay organized. she has had her product tested by 10 of her relatives and close friends. these 10 people gave her product great reviews which gave her false confidence that her product would be profitable. her business failed because she did not use a large enough sample size which led to unreliable results.

Explanation:

Response
Question 6

Step1: Recall volume formula

The volume formula for a rectangular - prism is $V = lwh$. Here, the area of the base $A=lw = 500$ square feet and the height $h = 9$ feet.

Step2: Calculate volume

$V=A\times h=500\times9 = 4500$ cubic feet.

Brief Explanations

Innumeracy leads to poor quantitative - based decisions. In the lunch - planning example, not being able to estimate food amounts is an example of innumeracy. Also, in the product - testing example, not understanding sample - size requirements is a sign of innumeracy.

Answer:

$4500$ ft³

Question 7