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3 years ago

The company Digit Tech designs a new

Mathematics

1 answer:

Marat540 [252]3 years ago

6 0

Answer:

The amount of cardboard Digit Tech needs to

package all 1500 new Smart Phones = 891000 square cm

Step-by-step explanation:

Points to remember:-

<u>Surface area of cuboid</u>

Surface area = 2(lb + bh + lh)

Where, l - Length of cuboid

b - Breadth of cuboid and

h - Height of cuboid

It is given dimensions of cardboard box

12 cm long, 9 cm wide, and 9 cm high.

<u>To find the surface area of box</u>

Here l = 12 cm, b = 9 cm and h = 9 cm

Surface area = 2(lb + bh + lh) = 2[(9*12) + (9*9) + (12 * 9)]

= 2(108 + 81 + 108) = 2 * 297 = 594 square cm

To find the cardboard required for 1500 box

Total cardboard = 1500 * 594 = 891000 square cm

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PLZZ HELPP!!

Elden [556K]

There's one piece of information missing from the question, so
in order to completely calculate the answer, we must assume the
missing number.

We have no information that helps us calculate the probability
that you will eat the first jelly bean. So we'll have to assume that
you will definitely eat it, no matter what color it is. The probability is 1 .

-- You start out with (2 + 4 + 8 + 6) = 20 jelly beans in the package.
    8 of them are purple.

-- If you close your eyes and pull one out of the package, then the
probability that it will be purple is
      8 / 20 .

-- You definitely eat it. The probability of this event is 1 .

-- Now there are 19 jelly beans left in the package.
   6 of them are blue.

-- The probability of picking a blue one out of the package without peaking is

   6 / 19 .

-- The probability of all three of these events happening is

   (8/20) · (1) · (6/19)

   = (8 · 1 · 6) / (20 ·19)

   =    48 / 380

   = 12/95 = 0.1263... = 12.63...% (rounded)

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3 years ago

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A researcher wishes to estimate, with 9090% confidence, the proportion of adults who have high-speed Internet access. Her es

Sunny_sXe [5.5K]

Answer: a) Required minimum sample size= 219

b) Required minimum sample size= 271

Step-by-step explanation:

As per given , we have

Margin of error : E= 5% =0.05

Critical z-value for 90% confidence interval : $z_{\alpha/2}=1.645$

a) Prior estimate of true proportion: p=28%=0.28

Formula to find the sample size :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.28(1-0.28)(\dfrac{1.645}{0.05})^2\\\\=218.213856\approx219$

Required minimum sample size= 219

b) If no estimate of true proportion is given , then we assume p= 0.5

Formula to find the sample size :-

$n=0.5(1-0.5)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.645}{0.05})^2\\\\=270.6025\approx271$

Required minimum sample size= 271

8 0

3 years ago

A landscape business charges $50 to deliver rocks. The cost of the rocks are $27 per cubic yard. write and solve a linear equati

Nuetrik [128]

<h2>Answer: 27x + 50 = y, $266</h2>

Step-by-step explanation:

First, let's form a linear equation that will help us find out how much that will cost.

Let's set x = the cubic yards of rocks delivered and y = total cost.

First, we know that the business charges 27 dollars for every x that you buy. That can be shown with a multiplication expression:

27x

Next, we know that the business charges a fixed fee of $50 for their services. This fee would be <em>added on</em> to the amount that they charge for the rocks that you buy.

That's our linear expression! Next, we need to find out the <em>total cost</em>, y, when you need 8 cubic yards of rocks delivered, x.

To solve this, we need to substitute values for at least one of our variables.

Since 8 describes the cubic yards of rocks delivered, we can substitute 8 for x.

But we don't know y, the total cost- that's what we're solving for! In other words, we're solving for y.

Let's just substitute in what we know:

27(8) + 50 = y.

216 + 50 = y

So, we know that it would cost $266 dollars to have 8 cubic yards of rocks delivered to a site.

By the way, you can also graph your linear equation to find the corresponding y-value to 8 as another way to solve your problem.

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3 years ago

A rocket is launched into the air. The height h(t), in yards, of the rocket is a function of time, t, in seconds, as shown in th

Vesna [10]

Answer:

Step-by-step explanation:

Average rate of change is the same thing as the slope. Because this is parabolic, we cannot find the exact rate of change as we could if this were a linear function. But we can use the same idea. When t = 3, h(t) = 33, so the coordinate point is (3, 33). When t = 6, h(t) = 0, so the coordinate is (6, 0). Plug those values into the slope formula:

$m=\frac{0-33}{6-3}$ and

$m=\frac{-33}{3}$ which is -11

From 3 to 6 seconds, the rocket is falling 11 yards per second.

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If a TV costs $310 and you have to pay a 7% sales tax, how much tax will you have to pay?

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You will have to pay $21.70

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2 years ago

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