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puteri [66]
2 years ago
12

Use the grid to draw a rectangle with an area of 1,125 square units ad a side of 25 units

Mathematics
1 answer:
guajiro [1.7K]2 years ago
6 0

Answer:

For grid, Please see attachment area of rectangle.

Explanation:

We are given the area of rectangle is 1,125 square unit whose one side is 25 units.

As we know the formula of area of rectangle =Length \times Width

Let 25 units is width of rectangle

Area = 1,125

\therefore Length=\frac{1125}{25}=45 units

Dimension of rectangle 45 x 25.

Now we draw the grid graph of rectangle.

First we take a grid paper with 1 square unit area of each box. Now we draw line with 45 unit horizontal(Length) and 25 unit vertical (Width).

We make a closed figure with four line opposite side equal and parallel.

Inside box, total number of box must be 1,125 because area of 1 small box 1 square unit.

Total area of all box = 1,125 x 1  = 1,125 square units.

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Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimeters,
tiny-mole [99]

Answer:

Probability that the sample mean would be greater than 141.4 millimetres is 0.3594.

Step-by-step explanation:

We are given that Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimetres, and a standard deviation of 7.

A random sample of 39 steel bolts is selected.

Let \bar X = <u><em>sample mean diameter</em></u>

The z score probability distribution for sample mean is given by;

                            Z  =  \frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} }  } }  ~ N(0,1)

where, \mu = population mean diameter = 141 millimetres

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           n = sample of steel bolts = 39

Now, Percentage the sample mean would be greater than 141.4 millimetres is given by = P(\bar X > 141.4 millimetres)

      P(\bar X > 141.4) = P( \frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} }  } } > \frac{141.4-141}{\frac{7}{\sqrt{39} }  } } ) = P(Z > 0.36) = 1 - P(Z \leq 0.36)

                                                            = 1 - 0.6406 = <u>0.3594</u>

The above probability is calculated by looking at the value of x = 0.36 in the z table which has an area of 0.6406.

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3 years ago
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Answer:

Step-by-step explanation:

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valentinak56 [21]

Answer:

Sum of volumes = (16.6 ± 0.03) cm³

Difference of volumes = (3.8 ± 0.03) cm³

Step-by-step explanation:

Solution

V₁ = (10.2 ± 0.02) cm³ and V₂ = (6.4 ± 0.01) cm³.

∆V = ± (∆V₁ + ∆V₂)

= ± (0.02 + 0.01) cm³

= ± 0.03 cm³

V₁ + V₂ = (10.2 + 6.4) cm³ = 16.6 cm³ and

V₁ - V₂ = (10.2 - 6.4) cm³ = 3.8 cm³

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