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ankoles [38]
2 years ago
9

Mason is tiling the floor of his bathroom, which measures 9.75 feet by 8.63 feet. He estimates the area. Will he have enough til

e if he buys 90 square feet of tiles? Explain why or why not.
Mathematics
2 answers:
Aleksandr [31]2 years ago
4 0

Sample Response: Mason estimated correctly by rounding up, and he will have enough tile. His estimate is 90 square feet, and the exact area is 84.1425 square feet.

Hatshy [7]2 years ago
3 0
He will have more than enough because he only needs to cover 84.1425 square feet.
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A video game sets the points needed to reach the next level based on the function g(x) = 8(2)x + 1, where x is the current level
Liula [17]
For us to determine the number of points that is needed in order to surpass or succeed the hardest setting of the game level 5, we use first the function g(x) to determine the total points required for the lower level.
             g(x)  = 8(2)(x) + 1
We substitute the x of the function with 5 since we are in level 5.
             g(5) = 8(2)(5) + 1 = 81

Then, to determine the points for the hardest setting, we multiply the points by 3 as given in function h(x).
              h(x) = 3(81) = 243

Hence, to succeed the hardest setting of level 5, one needs a total of 243 points.
7 0
2 years ago
What is the equation of the line described below written in slope-intercept form?
Bas_tet [7]
The answer is A

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7 0
2 years ago
The Toga Trench is at an elevation of 35,702 feet below sea level .The south sandwich Trench is at an elevation of 23,737 ft . b
Aleks04 [339]

Answer:

Tonga trench Elevation = 35,702ft

South sandwich trench elevation = 23,737ft

Step-by-step explanation:

Given the following:

Tonga trench Elevation = 35,702 Feets

South sandwich trench elevation = 23,737 Feets

Expressing both numbers as rational numbers :

Both the Tonga trench Elevation and South sandwich trench elevation are already stated as rational numbers because all integers are rational numbers, be it expressed as a quotient or proportion of integer numbers ( that is numbers that are expressed without decimal components.

Therefore, rational expression for both are :

Tonga trench Elevation = 35,702ft

South sandwich trench elevation = 23,737ft

4 0
2 years ago
When Ryan is serving at a restaurant, there is a 0.75 probability that each party will order drinks with their meal. During one
Triss [41]

Answer:

0.82 = 82% probability that at least one party will not order drinks

Step-by-step explanation:

For each party, there are only two possible outcomes. Either they will order drinks with their meal, or they will not. The probability of a party ordering drinks with their meal is independent of other parties. So the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

When Ryan is serving at a restaurant, there is a 0.75 probability that each party will order drinks with their meal.

This means that p = 0.75

During one hour, Ryan served 6 parties. Assuming that each party is equally likely to order drinks, what is the probability that at least one party will not order drinks?

6 parties, so n = 6.

Either all parties will order drinks, or at least one will not. The sum of the probabilities of these events is decimal 1. So

P(X = 6) + P(X < 6) = 1

We want P(X < 6). So

P(X < 6) = 1 - P(X = 6)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 6) = C_{6,6}.(0.75)^{6}.(0.25)^{0} = 0.18

P(X < 6) = 1 - P(X = 6) = 1 - 0.18 = 0.82

0.82 = 82% probability that at least one party will not order drinks

5 0
2 years ago
Read 2 more answers
A data set with whole numbers has a low value of 20 and a high value of 96.
Naya [18.7K]

Answer and Step-by-step explanation:

The computation of the class width for a frequency is shown below:

Class width is

= \frac{Range}{Number\ of\ class} \\\\ = \frac{96 - 20}{7}

= 10.86

= 11

Now the class limits for a frequency table

Particulars      Lower class limit to upper class limit

First class          20 - 30

Second class    31 - 41

Third class        42 - 52

Fourth class      53 - 63

Fifth class         64  74

Six class           75 - 85

Seventh class   86 - 96

8 0
2 years ago
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