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tatiyna
3 years ago
9

2. Ms. Groves has trays of paints for students in her

Mathematics
1 answer:
olga55 [171]3 years ago
4 0

Answer:

Each tray has 5 colours and one of the colour on the tray is purple. Hence 1/5 of the colours on the tray is purple and thus 1/5 of the colours on the 20 trays is purple. The fraction of colours on the trays will not change. If written out logically, 20 purples out of 100 colours in total on the trays will also given the fraction 1/5.

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Complete the following sentence<br><br> If x is to 6 as 10 is to 15, then x is equal to .
maksim [4K]

Answer:

x=4

Step-by-step explanation:

x/6 = 10/15

x/6 = 2/3

3x=12

7 0
3 years ago
Read 2 more answers
I NEED ANSWER NOW PLEASE ASAP
Alex73 [517]

Answer:

C) 78.48

Step-by-step explanation:

The 8 gives the 4 a 1 so it rounds to 78.5

6 0
2 years ago
Consider a population list x with μx=10 and SDx = 1. A second population list, y, with μy=10 and SDy=2, is added to the first li
Basile [38]

Answer:

The combined standard deviation is 1.58114.

Step-by-step explanation:

The formula to compute the combined standard deviations of two different data sets is:

SD_{c} =\sqrt{\frac{n_{X}S^{2}_{X}+n_{2}S^{2}_{Y}+n_{X}(\mu_{X}-\mu_{c})^{2}+n_{Y}(\mu_{Y}-\mu_{c})^{2}}{n_{X}+n_{Y}}

Here \mu_{c} is the combined mean given by:

\mu_{c}=\frac{n_{X}\mu_{X}+n_{Y}\mu_{Y}}{n_{X}+n_{Y}}

It is provided that the sample size is same for both the data sets, i.e.n_{X} = n_{Y}=n

Compute the combined mean as follows:

\mu_{c}=\frac{n_{X}\mu_{X}+n_{Y}\mu_{Y}}{n_{X}+n_{Y}}\\=\frac{(n\times10)+(n\times10)}{n+n}}\\=\frac{20n}{2n}\\ =10

Compute the combined standard deviation as follows:

SD_{c} =\sqrt{\frac{n_{X}S^{2}_{X}+n_{2}S^{2}_{Y}+n_{X}(\mu_{X}-\mu_{c})^{2}+n_{Y}(\mu_{Y}-\mu_{c})^{2}}{n_{X}+n_{Y}}}\\=\sqrt{\frac{(n\times1^{2})+(n\times2^{2})+(n(10-10))+(n(10-10))}{n+n}}\\=\sqrt{\frac{n+4n}{2n} } \\=\sqrt{\frac{5n}{2n} } \\=\sqrt{\frac{5}{2}} \\=1.58114

Thus, the combined standard deviation is 1.58114.

3 0
3 years ago
Use the distributive property to simplify the following expression -2(x+3)
lukranit [14]

Answer:

-2x - 6

Step-by-step explanation:

-2(x + 3)

-2 · x = -2x

-2 · 3 = -6

-2x - 6

5 0
2 years ago
Figure I and Figure II are similar figures,
ELEN [110]

The ratio of corresponding sides is same for all the sides for similar polygon. the correct proportion is,

\frac{ST}{EF}=\frac{WR}{CD}

Thus the option H is the correct option.

To find the correct proportion we need to know about the properties of slimier polygon.

<h3>What are the properties of similar polygon?</h3>

Two polygons are said to be similar or congruent pentagon-

The corresponding angle of two pentagons are congruent.

The ratio of corresponding sides is same for all the sides.

The figure given in the problem of similar two polygons with six sides.

Rearrange the second figure as shown in figure.

As for the similar polygons, the ratio of corresponding sides is same for all the sides.

Thus the sides shown in the two rearranged figure must be same. Therefore,

\frac{ST}{EF}=\frac{WR}{CD}

Hence the correct proportion is,

\frac{ST}{EF}=\frac{WR}{CD}

Thus the option H is the correct option.

Learn more about the similar polygon here;

brainly.com/question/771807

8 0
2 years ago
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