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motikmotik
3 years ago
8

The floor of a room with dimensions 16 by 12 is covered with square tiles, each of length 0.32. How many of such tiles will be n

eeded to cover one third of the room?
Mathematics
1 answer:
Lynna [10]3 years ago
6 0

Answer:

625 tiles

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Total room floor area = 16 × 12 = 192

So, area of one third room = 192 × (1 ÷ 3)

Area of one third room = 64

Length of each tiles = 0.32

As it is a square tile, width = length, = 0.32

o, total area of each tile = 0.32 × 0.32 = 0.1024

So, number of tiles to cover 64 area of room = 64 ÷ 0.1024 = 625 tiles.

Hence, 625 tiles needed to cover one third of room.

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A factory produces car tires. The number of miles each tire lasts before it completely wares out follows a normal distribution w
qwelly [4]

Answer: 0.0668073

Step-by-step explanation:

Given : The number of miles each tire lasts before it completely wares out follows a normal distribution with mean μ = 50,000 miles and standard deviation σ = 8,000 miles.

Let x be the random variable that represents the number of miles each tire lasts.

z-score : \dfrac{x-\mu}{\sigma}

For x= 62,000

z=\dfrac{62000-50000}{8000}=1.5

By using the standard z-value table , the probability for a randomly selected tire to last for at least 62,000 miles will be :_

P(x\geq62000)=P(z\geq1.5)=1-P(z

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4 0
3 years ago
Graph the function f(x)=|x+1|+2
11111nata11111 [884]

Answer:

---

Hope this helps!

3 0
3 years ago
Which math expression represents the phrase? 8 times the difference of a number and 3
s2008m [1.1K]
Letter A is the correct answer because you can obviously exit out c and d, but yo get a good phrase you might as well have some parentheses to make this work because without it, would be confusing :)
3 0
4 years ago
Read 2 more answers
The smaller box he is holding a canister of gummy bears that has a diameter of 6 inches and is 10 inches tall. What is the volum
sergejj [24]

Answer:

90pi in^{3} or about 282.74 in^{3}

Step-by-step explanation:

Volume is found by base area times height (B*h).

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3^2 = 9

B: 9pi

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7 0
3 years ago
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Current research indicates that the distribution of the life expectancies of a certain protozoan is normal with a mean of 48 day
irina1246 [14]

Answer:

P ( x_bar ≥ 51 ) = 0.0432

Step-by-step explanation:

Solution:-

- The random variable "X" denotes:

                  X : life expectancies of a certain protozoan

- The variable "X" follows normal distribution.

                  X ~ Norm ( 48 , 10.5^2 )

- A sample of n = 36 days was taken.

- The sample is also modeled to be normally distributed:

                  x ~ Norm ( 48 , ( 10.5 / √n)^2 )

- The sample standard deviation s = 10.5 / √n = 10.5 / √36

                                                      s = 1.75

- We are to investigate the the probability of sample mean x_bar ≥ 51 days:

                 P ( x_bar ≥ 51 )

- Standardize the results, evaluate Z-score:

                 P ( Z ≥ ( x_bar - u ) / s ) =  P ( Z ≥ ( 51 - 48 ) / 1.75 )

                 P ( Z ≥ 1.7142 ).

- Use the standardized normal table and evaluate:

                 P ( Z ≥ 1.7142 ) = 0.0432                  

Hence,      P ( x_bar ≥ 51 ) = 0.0432

5 0
3 years ago
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