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3 years ago

What is 77 = 4x + 57

Mathematics

1 answer:

Svetach [21]3 years ago

3 0

Answer:

$x=5$

Step-by-step explanation:

$77=4x+57$

Subtract 57 from both sides:

$4x=20$

Divide both sides by 4:

$x=5$

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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

Convert 0.15 g/mL to the unit g/L.

maxonik [38]

To convert milliliters to liter, multiply a converson factor of $\frac{1000ml}{L}$ which means that for every 1 Liter, there is exactly 1000 mL. Converting 0.15 g/mL, multiply the conversion factor to cancel out the unit of milliliters, as shown in the solution below:

$0.15 \frac{g}{mL} ( \frac{1000 mL}{L} ) = 150 g/L$

The answer is 150 g/L

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3 years ago

A jacket originally cost $30.75. It went on sale for 20% off the original price. What was the sale price of the jacket?

gladu [14]

We have to calculate the 20% of $30.75
The 20% of $30.75=(20/100)*$30.75=(20*$30.75)/100=$6.15

The sale price of the jacket was $6.15.

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3 years ago

What can be concluded if <1≈ <7?

sleet_krkn [62]

Answer:

Step-by-step explanation:

because the angles 1 and 7 are alternate and equal , we can conclude that p and q are parralel

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2 years ago

What are partial products for 35 x 69

stealth61 [152]

35×69=35*69
35*69=2415

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3 years ago