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2 years ago

Jamie recorded vehicle turning choices at the intersection near his house. He organized the results in the table shown.

Mathematics

2 answers:

Mrrafil [7]2 years ago

5 0

Answer:

It is less likely the vehicle will turn left as

Step-by-step explanation:

svetlana [45]2 years ago

3 0

Answer:

it is less likely the vehicle wiil turn left as

Step-by-step explanation:

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In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of t

lidiya [134]

Answer:

Perimeter = 98 cm

Area = 596 $cm^{2}$

Step-by-step explanation:

Please refer to the attached image for the resultant figure when a quadrant of circle with radius 7 cm is cut from a rectangle of sides 30 cm and 25 cm.

Perimeter of a figure = Sum of all its sides + Perimeter of circle

Quadrant of a circle is one fourth of a circle and there are 4 such quadrant of a circle, so eventually there is one complete circle in this figure.

The sides of this resultant figure = 30 - 14 = 16 cm

and 25 - 14 = 11 cm

So perimeter of this figure = 16 + 11 + 16 + 11 + Perimeter of circle

$\Rightarrow 54 + 2 \pi r\\\Rightarrow 54 + 2 \times \dfrac{22}{7} \times 7\\\Rightarrow 54 + 44 = 98 cm$

To find area of this figure = Area of rectangle - Area of circle

Area of rectangle = Length $\times$ Width

$\Rightarrow 30 \times 25 = 750\ cm^{2}$

Area of circle = $\pi r^{2}$

$\Rightarrow \dfrac{22}{7} \times 7^{2} = 154\ cm^{2}$

So, area of figure = 750 - 154 = 596 $cm^{2}$

3 0

2 years ago

Binomial Coefficients (30pts) 1. Write (a + b)^2 as a polynomial in standard form. Show work (FOIL/distributive property).

Darina [25.2K]

Answer:

$a^2 + 2ab + b^2$

Step-by-step explanation:

Given

$(a + b)^2$

Required

Express as a standard polynomial

We have:

$(a + b)^2$

Rewrite as:

$(a + b)(a + b)$

Open bracket

$a^2 + ab + ab + b^2$

Add like terms

$a^2 + 2ab + b^2$

4 0

3 years ago

Ted wanted to determine if one brand of paper towels (Brand A) was stronger than another brand (Brand B). He performed a study

Mila [183]

Answer:

C) A one-tail test will be performed since the alternative hypothesis contains a "less than".

Step-by-step explanation:

Test may be categorized as being one tailed or two tailed depending on the inequality sign used when defining the hypothesis ` ; Hypothesis whereby the alternative hypothesis takes a not equal to (≠) are categorized as two talked as the direction of does not point to either the left or right. Conversely, alternative hypothesis which takes a less Than sign or takes a greater Than sign are classed as being one tailed as the they point to a specified direction..

For the scenario given : we are to test the claim that one is stronger than the other ;

For this knid if test it has been stated explicitly that one is greater than another ;

H0 : μ = μ

H0 : μ < μ

4 0

2 years ago

What is x + y = 12 if x = 2y

Crazy boy [7]

I believe the answer is 4.

5 0

3 years ago

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The radius of a circle is 2.9 in. What is the circumference to the nearest tent to the nearest tenth?

Naya [18.7K]

Answer:

18.2

Step-by-step explanation:

8 0

2 years ago