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3 years ago

A bulldozer could carry 1/5 of a ton of sand. If a park needed 4 tons of sand, how many loads would the bulldozer need to carry?

Mathematics

2 answers:

Furkat [3]3 years ago

7 0

5x5= 25

25x4= 100

It needs to carry 100 loads

jonny [76]3 years ago

4 0

The answer is 20.

If you think about it as 5/5 is 1 and one load is 1/5, you need 5 loads to get 1 ton. Then, you need another 3. To get this you do 5 X 3. So you need 15 loads to get 3. Then add 15 + 5 which then gives you 20

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You have two biased coins. Coin A comes up heads with probability 0.1. Coin B comes up heads with probability 0.6.However, you a

Andrews [41]

Answer:

The probability that our guess is correct = 0.857.

Step-by-step explanation:

The given question is based on A Conditional Probability with Biased Coins.

Given data:

P(Head | A) = 0.1

P(Head | B) = 0.6

<u>By using Bayes' theorem:</u>

$P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$

We know that P(B) = 0.5 = P(A), because coins A and B are equally likely to be picked.

Now,

P(Head) = P(A) × P(head | A) + P(B) × P(Head | B)

By putting the value, we get

P(Head) = 0.5 × 0.1 + 0.5 × 0.6

P(Head) = 0.35

Now put this value in $P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$ , we get

$P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$

$P(B|Head) = 0.6 \times \frac{0.5}{0.35}$

$P(B|Head) = 0.857$

Similarly.

$P(A|Head) = 0.857$

Hence, the probability that our guess is correct = 0.857.

7 0

3 years ago

1. A soccer field has an area (A = LW) that is represented by the polynomial 1 point

matrenka [14]

Answer:

$(x + 6)(x - 6)$

Step-by-step explanation:

Given

See attachment for soccer field

Required

The possible dimension of the field

From the attachment, we have:

$Area = x^2 - 36$

$Length = x +a$

$Width = x + b$

So, we have:

$Length * Width = Area$

This gives:

$(x + a)(x + b) = x^2 - 36$

Express 36 as 6^2

$(x + a)(x + b) = x^2 - 6^2$

Express as difference of two squares

$(x + a)(x + b) = (x + 6)(x - 6)$

Hence, the dimension is: $(x + 6)(x - 6)$

6 0

3 years ago

Can someone solve this

zysi [14]

You know how Soh Cah Toa applies to right triangles; you can assign the adjacent side = 4 and hypotenuse = 7

CosФ = (adjacent) / (hypotenuse)

Then with the Pythagorean theorem
4² + b² = 7²
16 + b² = 49
b² = 49 - 16
b² = 33
b = √(33)

So "b" is the opposite side.

SinФ = (opposite) / (hypotenuse) = √(33)/7
TanФ = (opposite) / (adjacent) = √(33)/4

3 0

4 years ago

at the souvenir shop each stuffed elephant was on sale for $5 off Matrix bought three of them for $45 how much did each stuffed

kondor19780726 [428]

Hello there!
So the equation I would use for this word problem is 3(s+5)=45.
3s+15=45
-15 -15
__________
3s=30
Divide 3 from both sides.
s ends up equaling 1.
Each stuffed animal elephant cost $10

4 0

3 years ago

Read 2 more answers

What number round to 200.000 when rounded to the nearest hundred thousand? Choose all that apply

Anuta_ua [19.1K]

Answer:

Is there multiple choice to this question?

anyway the answer maybe is: 0

7 0

3 years ago