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4 years ago

Please help me with this Statistics problem

Mathematics

1 answer:

Mariulka [41]4 years ago

5 0

Blue is more likely to appear then red

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The ordered pair (10,3) is in quadrant:

RUDIKE [14]

Answer:

Step-by-step explanation:

ordered pairs with both positive numbers are in Q1

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3 years ago

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Two less than thre times a number is nine in corresponding equation

AveGali [126]

The answer is and the number is...

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4 years ago

Mr. Pete just got a great deal at Lowe’s on tiles for his new patio. He wants to

sdas [7]

Answer:

The fewest square tiles he can use without cutting any of them = 12 square tiles

Step-by-step explanation:

The given dimensions of Mr. Pete's rectangular patio = 108 inches by 144 inches

The area of the patio = 108 in. × 144 in. = 15,552 in.²

We note that when square tiles are used the must fit both the length and the with of the rectangular patio

Therefore, we have;

The dimensions of the square tiles that the fewest number of tiles is the highest common factor, HCF, of 108 inches and 144

The HCF of 108 and 144 are found from by the prime factors as follows;

108 = 2² × 3³ = 2² × 3² × 3

144 = 2⁴ × 3² = 2² × 3² × 4

From which we have;

The HCF of 108 and 144 = 2² × 3² = 36

Therefore, the size of the sides of the square tiles that will give the fewest number of tiles is 36 inches

The number of the 36 inches square tiles that fit into the length of the rectangular patio = 144 inches/(36 inches/tile) = 4 tiles

The number of the 36 inches square tiles that fit into the breadth of the rectangular patio = 108 inches/(36 inches/tile) = 3 tiles

The total number of tiles he will use = (4 × 3) tiles = 12 tiles = The fewest square tiles he can use without cutting any of them.

8 0

3 years ago

Consider the right cone and right triangular prism below. Suppose that all measurements are labeled in centimeters.

Musya8 [376]

Answer:

The prism has a volume about 340 cubic centimeters larger than the cone.

Step-by-step explanation:

<u />

<u>Formulas</u>

$\sf Surface\:area\:of\:a\:cone=\pi r \left(r+\sqrt{h^2+r^2}\right)$

$\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h$

where:

r = radius of circular base
h = height perpendicular to the base

Given:

r = 3 cm
h = 6 cm

Substitute the given values into the formulas:

$\begin{aligned}\sf Surface\:area\:of\:cone & =\pi (3) \left(3+\sqrt{6^2+3^2}\right)\\ & = 3 \pi \left (3+\sqrt{36+9}\right)\\ & = 3\pi (3+\sqrt{45})\\ & = 3\pi(3+3\sqrt{5})\\ & = 91.5 \:\: \sf cm^2\:(1\:d.p.)\end{aligned}$

$\begin{aligned}\textsf{Volume of cone} & =\dfrac{1}{3} \pi (3)^2 (6)\\& = \dfrac{54}{3} \pi \\ & = 18 \pi \\ & = 56.5\:\: \sf cm^3 \:(1 \: d.p.)\end{aligned}$

<h3><u>Prism</u></h3>

<u>Formulas</u>

<u /> $\textsf{Surface area of a prism}=\textsf{Total area of all the sides}$

$\textsf{Volume of a prism}=\sf \textsf{Area of base} \times height$

$\textsf{Area of a triangle}=\sf \dfrac{1}{2} \times base \times height$

$\textsf{Area of a rectangle}=\sf width \times length$

Given:

Height of triangular base = 10 cm
Base of triangular base = 8 cm
Height of prism = 10 cm

Find the <u>area of the triangular base</u> of the prism:

$\begin{aligned}\textsf{Area of the base} & = \dfrac{1}{2} \times 8 \times 10\\& = 40\:\: \sf cm^2\end{aligned}$

Find the third edge of the triangular base by using <u>Pythagoras Theorem</u>:

$\begin{aligned}a^2+b^2 & = c^2\\\implies 8^2+10^2 & = c^2\\164 & = c^2\\c & = \sqrt{164}\\c & = 2\sqrt{41}\end{aligned}$

Use the found values and the formulas to find the surface area of volume of the prism:

$\begin{aligned}\textsf{Surface area of prism} & = \sf 2\:triangles+3\:rectangles\\& = 2\left(40\right) + (10 \times 10)+(10 \times 8)+ (10 \times 2\sqrt{41})\\& = 80 + 100 + 80 + 20\sqrt{41}\\& = 388.1 \:\: \sf cm^2\:(1\:d.p.)\end{aligned}$

$\begin{aligned}\textsf{Volume of prism} & = 40 \times 10\\& = 400\:\:\sf cm^3 \:(1 \:d.p.)\end{aligned}$

<h3><u>Conclusion</u></h3>

The surface area and volume of the prism is <u>larger</u> than that of the cone.

<u>Difference between surface areas</u>:

388.1 - 91.5 = 296.6 ≈ 300 cm²

<u>Difference between volumes</u>:

400 - 56.5 = 343.5 ≈ 340 cm³

Therefore:

The prism has a surface area about 300 square centimeters larger than the cone.
The prism has a volume about 340 cubic centimeters larger than the cone.

6 0

2 years ago

Read 2 more answers

11. At Price Chopper you are purchasing groceries and the bill comes out to be

Vinil7 [7]

9514 1404 393

Answer:

$181.19

Step-by-step explanation:

The coupon means you will pay 70% of the bill. The tax means you will pay 105.65% of the amount after the coupon is applied. Your final bill is ...

$245 × 0.70 × 1.0565 ≈ $181.19

_____

Your bill after the coupon is applied will be ...

bill - 0.30×bill = bill(1 - 0.30) = bill×0.70

The amount after tax is added is ...

charge + 0.0565×charge = charge(1 +0.0565) = charge×1.0565

Since the final bill is the product of these factors, the order of application does not matter. Conventionally, tax is applied last, so that accounting with the tax collection authority is properly maintained.

4 0

3 years ago