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musickatia [10]
3 years ago
10

Identify the following group of words as an incomplete or complete sentence. If the sentence is incomplete, identify the reason.

Mathematics
2 answers:
seropon [69]3 years ago
6 0

Answer:The paint will not fill the tray by 5.22 in3.



Step-by-step explanation:The dimensions of the paint tray are:

W = 10 in

L = 12 in

D = 5 cm (1in / 2.54 cm) = 1.97 in


The total volume of the paint tray is:

Vt = WLD

Vt = (10)(12)(1.97) = 236.22 in3


Converting the volume of the paint to in3

Vp = 1 gal (231 in3 / 1gal) = 231 in3


Getting the difference,

236.22 in3 - 231in3 = 5.22 in3


Since the volume of tray is greater than the volume of the paint, the answer is:

The paint will not fill the tray by 5.22 in3.




mr Goodwill [35]3 years ago
3 0
It has everything a sentence needs. Complete sentence.

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Grace is three times as old as Hans, but in 5 years she will be twice as old as Hans is then. How old are they now? Set up an th
frosja888 [35]

Answer:

3x - y = 0; 2x - y = -5

Step-by-step explanation:

Let x be the present age of Hans and y be the present age of Grace,

Since, in present Grace is three times as old as Hans,

⇒ y = 3x

⇒ 3x - y = 0

Now, after 5 years,

The age of Hans = x + 5,

And, the age of Grace = y + 5

Also, in 5 years Grace will be twice as old as Hans is then,

⇒ y + 5 = 2 ( x + 5 )

⇒ y + 5 = 2x + 10

⇒ 2x - y = -5

Hence, the required system of linear equations is,

3x - y = 0; 2x - y = -5

5 0
4 years ago
Based on historical data, your manager believes that 40% of the company's orders come from first-time customers. A random sample
Vedmedyk [2.9K]

Answer:

P(0.26 \leq p \leq 0.43)=0.7204-0.0032=0.7172

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The population proportion have the following distribution

p \sim N(p=0.4,\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.4(1-0.4)}{91}}=0.0514)

And we can solve the problem using the z score on this case given by:

z=\frac{p_o -p}{\sqrt{\frac{p(1-p)}{n}}}

We are interested on this probability:

P(0.26 \leq p \leq 0.43)

And we can use the z score formula, and we got this:

P(\frac{0.26 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}} \leq Z \leq \frac{0.43 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}})

P(-2.726 \leq Z \leq 0.584)

And we can find this probability like this:

P(-2.726 \leq Z \leq 0.584)=P(Z

7 0
3 years ago
When you roll a standard number cube once, what is the probability of rolling a number divisible by 3?
NeTakaya

Answer:

C.

Step-by-step explanation:

There are two numbers on a standard cube that are divisible by 3, 3 and 6. Which gives you the fraction 2/6 and can be reduced to 1/3

4 0
3 years ago
Read 2 more answers
1/y - 1/x = 1/60<br> 3y - 2x = 6 <br> (Simultaneous question)
Daniel [21]

1y - 1/x = 1/60 = x*y =60 = x=60/y

3y - 2(60/y) = 6

3y^2-120=6y

3(y^2-40-2y) =0

y^2-40-2y=0

y = 7.4


3(7.4)-2x=6

22.2-2x = 6

2x = -16.2

x = -8.1



6 0
3 years ago
Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. Which equation c
shtirl [24]

Given:

22 gallons of 16% ammonia

24% ammonia

Find:

Number of gallons of water to remove

Solution:

Let n = number of gallons needed to obtain 24% ammonia

22 gallons (0.16) = n (.24)

<span>N = 14.67 gallons of water</span>

8 0
3 years ago
Read 2 more answers
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