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3 years ago

Verena lives in a city where the ratio of sunny days to rainy days is 4 to 3.

Mathematics

1 answer:

alexandr402 [8]3 years ago

8 0

12 rainy days because 16 divided by 4 is 4. SO, 4 times 3 is 12

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A jar contains 100 coins. If it is very unlikely that you will randomly choose a quarter out of the jar, how many quarters could

lidiya [134]

Answer:

Step-by-step explanation:

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2 years ago

MakcuM [25]

Answer: C) 4.20

Explanation:

Multiply each value with its corresponding frequency:

1*450 = 450
10*35 = 350
50*10 = 500
100*4 = 400
400*1 = 400

Add up the products

450+350+500+400+400 = 2100

Then divide this over the total frequency (450+35+10+4+1 = 500)

So we get 2100/500 = 4.20 as the expected value.

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2 years ago

Ben bought a cell phone that came in a box shaped like a rectangular prism. The box is 5 inches long by 3 inches wide by 2 inche

Margarita [4]

Answer:

Surface area of the rectangular prism = 62 inch²

Step-by-step explanation:

Surface area of a rectangular prism =2(wl+hl+hw)

w = width = 3 inches

h = height= 2 inches

l = length = 5 inches

A = 2(3x5 + 2x5 + 3x2) = 62 inch²

5 0

3 years ago

Sue scored a total of 35 points in two games. She scored 6 times as many points in the second game as in the first. How many mor

Nata [24]

x = points in first game

y = points in second game

6x=y to make them equal multiply the first games points by 6

x+y=35 the points in both games

x +6x = 35 substitute for y (y=6x)

7x=35 combine like terms

x=5

y=6x

y=6(5)

y=30 points

7 0

3 years ago

Packaging By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting fl

Vikki [24]

Answer:

Height: 3/2 inches

Length: 12 inches

Width: 4 inches

Step-by-step explanation:

Let x is the side length of the square

The height of the box by cutting squares off :x

The new length of the cardboard = 15 -2x (because we cut from 4 corners)
The new width of the cardboard = 7 -2x (because we cut from 4 corners)

The new volume of it is:

V = (15 -2x) (7 -2x) x

<=> V = $4x^3 -44x^2 +105x$

To maximum volume, we use the first derivative of the volume

$\dfrac{dV}{dx} = 0$

<=> $12x^2-88x+105=0$

<=> $\left(2x-3\right)\left(6x-35\right) = 0$

<=> 2x -3 = 0 or 6x -35 = 0

<=> x = 3/2 or x = 35/6

To determine which value of x gives a maximum, we evaluate

$\dfrac{d^2V}{dx^2}$ = 24x -88

If x = 3/2, we have:

$\dfrac{d^2V}{dx^2}$ = 24(3/2) -88 = -52

If x = 35/6, we have:

$\dfrac{d^2V}{dx^2}$ = 24(35/6) -88 = 52

We choose x = 3/2 to have the maximum volume because the value of x that gives a negative value is maximum.

So the dimensions (in inches) of the box is:

Height: 3/2 inches

Length: 15-2(3/2) = 12 inches

Width: 7 - 2(3/2) = 4 inches

5 0

3 years ago