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Natali5045456 [20]
3 years ago
7

Greta was making a drink of squash.she poured 200ml of concentrate into a glass which had a total capacity of 550ml.how much wat

er is needed to fill the remainder of the glass.​
Mathematics
1 answer:
vredina [299]3 years ago
5 0

Answer:

its 350

Step-by-step explanation:

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The\ point-slope\ form:\\\\y-y_1=a(x-x_1)\\-------------------\\\\(-2;-6)\to x_1=-2;\ y_1=-6\\\\therefore\\\\y-(-6)=a(x-(-2))\\\\y+6=a(x+2)
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A sample of 5 strings of thread is randomly selected and the following thicknesses are measured in millimeters. Give a point est
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Answer:

Point estimate for the population variance = 3.92 * 10^{-3} .

Step-by-step explanation:

We are given that a sample of 5 strings of thread is randomly selected and the following thicknesses are measured in millimeters ;

       X                       X - Xbar                                         (X-Xbar)^{2}

      1.13            1.13 - 1.188 = -0.058                                 3.364 * 10^{-3}

      1.15            1.15 - 1.188 = -0.038                                 1.444 * 10^{-3}    

      1.15            1.15 - 1.188 = -0.038                                 1.444 * 10^{-3}

      1.24           1.24 - 1.188 = 0.052                                 2.704 * 10^{-3}

      1.27           1.27 - 1.188 = 0.082                               <u>  6.724 * </u>10^{-3}<u>    </u>

                                                                    \sum (X-Xbar)^{2} <u>= 0.01568   </u>

Firstly, Mean of above data, Xbar = \frac{\sum X}{n} = \frac{1.15+1.24+1.15+1.27+1.13}{5} = 1.188

Point estimate of Population Variance = Sample variance

                                                               = \frac{\sum (X-Xbar)^{2}}{n-1} = \frac{0.01568}{4} = 3.92 * 10^{-3} .

Therefore, point estimate for the population variance = 3.92 * 10^{-3} .

       

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What would be the coordinates of triangle A'B'C' if triangle ABC was dilated by a factor of
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Answer:

A(0,0)\rightarrow A'(0,0) \\ B(2,0)\rightarrow B'(\frac{2}{3},0) \\ C(0,2)\rightarrow C'(0,\frac{2}{3})

Step-by-step explanation:

The question is as following:

The verticies of a triangle on the coordinate plane are

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What would be the coordinates of triangle A'B'C' if triangle ABC was dilated by a factor of 1/3 ?

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

Given: the vertices of a triangle ABC are A(0, 0), B(2, 0) and C(0, 2).

IF the triangle is dilated by a factor of k about the origin, then

(x,y) → (kx , ky)

that triangle ABC was dilated by a factor of 1/3 to create the triangle A'B'C'.

It is given that triangle ABC was dilated by a factor of 1/3 to create the triangle A'B'C'.

If a figure dilated by a factor of 1/3 about the origin

So, (x,y)\rightarrow (\frac{1}{3}x,\frac{1}{3}y)

<u>So, The coordinates of the triangle A'B'C' are:</u>

A(0,0)\rightarrow A'(0,0) \\ B(2,0)\rightarrow B'(\frac{2}{3},0) \\ C(0,2)\rightarrow C'(0,\frac{2}{3})

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The school auditorium has 900 seats. The inequality, with x representing adults and y representing children, can be solved to fi
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Answer:

Step-by-step explanation:

The ordered pair is located on the boundary line of the graph of the inequality, and because the sign is "less than or equal to", the values on the boundary line are also included in the solution set.

Looking at this logically, we also see that it certainly possible for half the seats to be occupied by adults and half by children.

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