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Thepotemich [5.8K]
3 years ago
6

The costs of Brand A and Brand B coffee beans are $400/kg and

Mathematics
1 answer:
Aneli [31]3 years ago
3 0

Answer:

The ratio of x:y is 1/2

Step-by-step explanation:

Let

x----> the number of Kg of brand A

y ---> the number of Kg of brand B

we know that

400x+280y=320(x+y)

400x+280y=320x+320y

400x-320x=320y-280y

80x=40y

x/y=40/80

x/y=1/2

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First answer gets a Thanks
fiasKO [112]
The appropriate choice is ...
  B: y = 3.5x

_____
The number of teaspoons of sugar (y) is 3.5 times the number of tarts (x).
8 0
3 years ago
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
Donovan took a math test and got 20 correct questions and 5 incorrect answers. What was the percentage of correct answers?
solong [7]

ANSWER

80%

EXPLANATION

Donovan got 20 questions correct and 5 questions incorrect.

This means that the total number of questions he attempted in the test is the sum of correct and incorrect questions:

Total = 20 + 5

Total = 25

To find the percentage of correct answers, we have to divide the number of correct answers by the total number of questions attempted and multiply by 100 (per cent).

That is:

\begin{gathered} \frac{20}{25}\cdot\text{ 100 = }\frac{4}{5}\cdot\text{ 100} \\ =\text{ 80\%} \end{gathered}

That is the percentage of correct answers.

3 0
1 year ago
Evaluate 8 − 12 ÷ 2 + 3. (1 point)
Goryan [66]

Answer:

Using PEMDAS, you should get the answer of 5.

7 0
2 years ago
Read 2 more answers
The high for a winter day in Sitka,
m_a_m_a [10]

Answer:

The maximum temperature will be -10°C, then if T represents the temperature, we can write this as:

T ≤ -10°C

And the minimum temperature will be -25°C, then we must have that:

T ≥ -25°C

if we use both conditions, we will have:

-25°C ≤ T ≤ -10°C

We can write this range:

[-25°C, -10°C]

Where the [] symbols mean that the extremes are possible temperatures.

The length of the range will be:

-10°C - 25°C = 15°C.

3 0
3 years ago
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