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creativ13 [48]
3 years ago
11

What will be the coordinates of vertex N' of the image?

Mathematics
1 answer:
pentagon [3]3 years ago
6 0

Answer:

<em>N'(-2,6)  </em>

<em>Noting Else To Put </em>

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How much water do you add...
Alecsey [184]

Answer: 36.67 grams of water is added.

Step-by-step explanation:

Let the amount of water is added be 'x'.

Amount of sugar = 5 g

We need to make 12% of sugar syrup.

x grams of water is added to 5 g of sugar, to 12% of sugar syrup.

so, it becomes,

\frac{5}{5+x}=\frac{12}{100}\\\\100\times 5=12(5+x)\\\\500=60+12x\\\\500-60=12x\\\\440=12x\\\\\frac{440}{12}=x\\\\36.67\ g=x

Hence, 36.67 grams of water is added.

7 0
3 years ago
. The two bottles are similar in shape. The larger bottle holds 100 m/ of perfume. Calculate how many millilitres of perfume the
FromTheMoon [43]

Answer:

The smaller bottle holds 12.5 ml of perfume.

====================

<h2>Given</h2>

  • Two bottles of similar shape;
  • Larger bottle has volume of 100 ml;
  • The length of larger bottle is 10 cm;
  • The length of smaller bottle is 5 cm.

<h2>To find </h2>

  • The volume of smaller bottle.

<h2>Solution</h2>

Find the scale factor, the ratio of corresponding dimensions:

  • k = 5/10 = 1/2

We know the volume is the function of three dimensions, therefore the ratio of volumes is the cube of the scale factor:

  • V_{small}/V_{large} = k^3\\

Substitute the known values and find the volume of small bottle:

  • V_{small}/100= (1/2)^3\\
  • V_{small}/100= 1/8
  • V_{small}= 1/8*100=12.5

The smaller bottle holds 12.5 ml of perfume.

4 0
1 year ago
Read 2 more answers
What is x for -3(x+5)=-9
Andrew [12]
-3(x+5)=-9
-3x-15=-9
+15 +15
-3x=6
-1x=2
1x=-2
x=-2
3 0
3 years ago
Read 2 more answers
What's the Answer ~ <br><br><img src="https://tex.z-dn.net/?f=%20%5Csf%20%5Ctiny%7B14%20%20%2B%20%2014%20%5Cdiv%207%7D" id="TexF
butalik [34]

Step-by-step explanation:

remember the priorities of the different mathematical operations

1. brackets

2. exponents

3. multiplications and divisions

4. additions and subtractions

so,

14 + 14/7 = 14 + 2 = 16

8 0
2 years ago
Read 2 more answers
The data represented by the graph is normally distributed and adheres to the 68-95-99.7 rule. the standard deviation of this dat
jenyasd209 [6]

Answer:

i)

the standard deviation of this data is 2.2

ii) 84%

Step-by-step explanation:

We have been informed that the data represented by the graph is normally distributed and adheres to the 68-95-99.7 rule. This implies that we shall be dealing with the applications of the empirical rule.

In a normal distribution, the mean is also the mode as well as the median of the distribution. This implies that the mean is at the center of the distribution. In our case, the mean is 4.8. The vertical lines represents data points that lie 1, 2 and 3 standard deviations away from the mean.

From the graph, both 11.4 and -1.8 lie 3 standard deviations away from the mean on either side. We can thus use the following equation to solve for the unknown standard deviation;

mean + 3(sigma) = 11.4

where sigma is the standard deviation.

our mean is 4.8, therefore;

4.8 + 3(sigma) = 11.4

3(sigma) = 6.6

sigma = 2.2

ii)

In order to determine the percentage of the population that will fall below the mark of 7, we shall first determine how many standard deviations away from the mean the value 7 lies.

To do this, we can use the following equation;

4.8 + n(2.2) = 7

2.2n = 2.2

n = 1

Therefore, the data point 7 lies one standard deviation away from the mean to the right.

The percentage of the population that will fall below one standard deviation away from the mean is;

68 + 13.5 + 2.35 = 83.85%

Using the empirical rule

8 0
3 years ago
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