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Readme [11.4K]
3 years ago
8

A kitchen is 10ft long and 8ft wide.if kitchen floor tiles

Mathematics
1 answer:
Vilka [71]3 years ago
7 0

Answer:

1536 tiles

Step-by-step explanation:

Given,

The length of kitchen = 10 ft,

Width of the kitchen = 8 ft,

∵ The shape of floor of kitchen must be rectangular,

Thus, the area of the kitchen = 10 × 8 = 80 square ft = 11520 in²

( Since, 1 square feet = 144 square inches )

Now, the length of a tile = 2.5 in and its width = 3 in,

So, the area of each tile = 2.5 × 3 = 7.5 in²,

Hence, the number of tiles needed = \frac{\text{Area of kitchen}}{\text{Area of each tile}}

=\frac{11520}{7.5}

= 1536

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Suppose GRE Verbal scores are normally distributed with a mean of 461 and a standard deviation of 118. A university plans to rec
nirvana33 [79]

Answer:

The minimum score required for recruitment is 668.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 461 \sigma = 118

Top 4%

A university plans to recruit students whose scores are in the top 4%. What is the minimum score required for recruitment?

Value of X when Z has a pvalue of 1-0.04 = 0.96. So it is X when Z = 1.75.

Z = \frac{X - \mu}{\sigma}

1.75 = \frac{X - 461}{118}

X - 461 = 1.75*118

X = 667.5

Rounded to the nearest whole number, 668

The minimum score required for recruitment is 668.

8 0
3 years ago
A recipe calls for 2 1/4 teaspoons of salt for every 1 1/8 teaspoons of black pepper used. How many teaspoons of pepper used
miss Akunina [59]

Answer:

it depends on how many tspns of salt

Step-by-step explanation:

4 0
3 years ago
Suppose a chemist combines a 25% acid solution and a 50% acid solution to make 40 L of 45% acid solution. How many liters of eac
lesantik [10]

Answer:

The number of liters for :

Acid solution a = x = 8 liters

Acid solution b = y = 32 liters

Step-by-step explanation:

Let us represent:

The number of liters for :

Acid solution a = x

Acid solution b = y

Suppose a chemist combines a 25% acid solution and a 50% acid solution to make 40 L of 45% acid solution.

x + y = 40 ...... Equation 1

x = 40 - y

25% × x + 50% × y = 45% × 40

0.25x + 0.5y = 18...... Equation 2

We substitute, 40 - y for x in Equation 2

0.25(40 - y)+ 0.5y = 18

10 - 0.25y + 0.5y = 18

- 0.25y + 0.5y = 18 - 10

0.25y = 8

y = 8/0.25

y = 32 Liters

Solving for x

x = 40 - y

x = 40 - 32

x = 8 Liters.

Hence:

The number of liters for :

Acid solution a = x = 8 liters

Acid solution b = y = 32 liters

5 0
3 years ago
- A school is using 12 passenger vans to transport
Maru [420]

Answer: s/12 = v

Step-by-step explanation:

6 0
3 years ago
Anastasia is grocery shopping with her father and wonders how much shopping is left to do. "We already have 60 percent of the it
Ilia_Sergeevich [38]
Hi

Left to do 40% of the shopping

12 items ⇒ 60% of the items
x items ⇒ 40% of the items

60x = 12(40)
60x = 480
x = 480/60
x = 48/6
x = 8 items 

Answer:

Left 8 items of the list (40% of the shopping)

Items: 12+8 = 20 items on her list
4 0
3 years ago
Read 2 more answers
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