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qaws [65]
4 years ago
8

Are the following two ratios proportional?

Mathematics
1 answer:
aalyn [17]4 years ago
6 0
8 Broken toys : 42 total toys = 1 Broken toy : 6 total toys

20 Broken toys : 105 total toys = 4 Broken toy = 21 total toys.

Answer: No: They are not proportional.
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An optical inspection system is used to distinguish among different part types. The probability of a correct classification of a
IrinaVladis [17]

Answer: Mean = 2.91 and Variance = 0.087

Step-by-step explanation:

Given : The probability of a correct classification of any part p= 0.97.

The number of parts are inspected : n=3

Let the random variable X denote the number of parts that are correctly classified.

For binomial experiment , the mean and variance is given by :-

\mu=np\\\\\sigma^2=np(1-p)

Then, the  the mean and variance of X will be :-

\mu=3(0.97)=2.91\\\\\sigma^2=np(1-p)=3(0.97)(0.03)=0.0873\approx0.087\ \ [ \text{Rounded to three decimal places}]

4 0
3 years ago
How many centimeters are in six hundred millimeters?
olga55 [171]
60 cm are in 600 mm.
6 0
3 years ago
Read 2 more answers
Do you know how to do this question
Sever21 [200]

Percentage of the area shaded = 55%

Solution:

Perimeter of the square = 40 cm

Each side of the square = \frac{40}{4} = 10 cm

Area of the square = \text{side}^2

                               = 10²

                               = 100

Total area of the square = 100 cm²

The unshaded portion is two triangles.

Base of the smaller triangle = 10 cm – 7 cm = 3 cm

Height of the smaller triangle = 10 cm

Area of the smaller triangle = \frac{1}{2}\times \text{base}\times \text{height}

                                              $=\frac{1}{2}\times 3\times 10

Area of the smaller triangle = 15 cm²

Base of the larger triangle = 10 cm – 4 cm = 6 cm

Height of the larger triangle = 10 cm

Area of the larger triangle = \frac{1}{2}\times \text{base}\times \text{height}

                                              $=\frac{1}{2}\times 6\times 10

Area of the larger triangle = 30 cm²

Area of the shaded portion = Area of the square – Area of the smaller

                                                   triangle – Area of the larger triangle

                                              = 100 cm² – 15 cm² – 30 cm²

Area of the shaded portion = 55 cm²

Percentage of the area shaded = \frac{\text{Area of the shaded portion}}{\text{Total area of the square}}\times100\%

                                                    $=\frac{55}{100}\times100\%

Percentage of the area shaded = 55%

8 0
4 years ago
Which conclusion can best be made from this scatter plot?
Lana71 [14]

Answer:

ang sagot ay nasa pic

sana po ay makatulong

6 0
3 years ago
If preimage is (0, 1) . (4, 0), (4, 1) , what are the points after a translation of 3 units up and then a reflection over the -a
yulyashka [42]

Answer:

(0, 4) (-4, 3) (-4, 4)

Step-by-step explanation:

Translation rules:

Units UP - Add to the y-coordinate.

Units DOWN - Subtract from the y-coordinate.

Units RIGHT - Add to the x-coordinate.

Units LEFT - Subtract from the x-coordinate.

--------------------------------------------------------------------------------------------------------------

In this case, the word problem is asking for the points after a translation of 3 units up.

(x, y+3)

(0,1) → (0,4)

(4,0) → (4,3)

(4,1) → (4,4)

--------------------------------------------------------------------------------------------------------------Now it's time to reflect the new points over the y-axis.

When reflecting over the y-axis, the y-coordinate remains the same, but the x-coordinate becomes the opposite value. (-x, y)

(0,4) → (0,4)

(4,3) → (-4,3)

(4,4) → (-4,4)

3 0
3 years ago
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