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malfutka [58]
2 years ago
5

84 divide 3.2 help me

Mathematics
2 answers:
a_sh-v [17]2 years ago
6 0
26.25 is the answer.
Rainbow [258]2 years ago
3 0

26.25 is the answer. Have a good day!

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Fabio drinks 2 quarts of water each day. How many cups of water does Fabio drink each day? (1 quarts = 4 cups
Westkost [7]

If Fabio drinks 2 quarts of water each day, he would drink 8 cups of water in accordance with direct proportion.

<h3>What is a proportion?</h3>

A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Mathematically, a direct proportion can be represented by the following equation:

y = kx

Where:

  • y and x are the variables.
  • k represents the constant of proportionality.

By applying direct proportion, we have:

1 quarts = 4 cups

2 quarts = X cups

Cross-multiplying, we have:

X = 4 × 2

X = 8 cups.

In conclusion, the quantity of water which Fabio drinks each day is equal to 8 cups.

Read more on direct proportion here: brainly.com/question/1266676

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5 0
1 year ago
You go out to lunch with some friends. Your lunch came to $9.76. If you want to leave a 15% tip, how much will you pay in total?
zalisa [80]

Answer:

1.47

Step-by-step explanation:

9.76/10=10% = 0.976 round to 0.98

5%=0.97/2 = 0.49

add them = 1.47 tip

3 0
2 years ago
I need help with number 5, find the area, thank you
ollegr [7]

Answer:

<em><u>96</u></em>

<em><u>Step-by-step explanation:</u></em>

<em><u>So for number  5 your going to multiply 8 and 12</u></em>

<em><u /></em>

<em><u>8 x 12 = 96</u></em>

<em><u>So the answer for 5 is </u></em>

<em><u>Answer: 96</u></em>

4 0
2 years ago
Use the diagram to answer the question. Line f is on plane R. True or false?
pychu [463]

Answer:

The answer is true because line f is seen on the plane R

4 0
3 years ago
Two types of coins are produced at a factory: a fair coin and a biased one that comes up heads 60 percent of the time. We have o
liraira [26]

Answer:

i) 0.1% probability that if the coin is actually fair, we reach a false conclusion.

ii) 0.05% probability that if the coin is actually unfair, we reach a false conclusion

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

Fair coin:

Comes up heads 50% of the time, so p = 0.5

1000 trials, so n = 1000

So

E(X) = np = 1000*0.5 = 500

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{1000*0.5*0.5} = 15.81

If the coin lands on heads 550 or more times, then we shall conclude that it is a biased coin.

(i) If the coin is actually fair, what is the probability that we shall reach a false conclusion?

This is the probability that the number of heads is 550 or more, so this is 1 subtracted by the pvalue of Z when X = 549.

Z = \frac{X - \mu}{\sigma}

Z = \frac{549 - 500}{15.81}

Z = 3.1

Z = 3.1 has a pvalue of 0.9990

1 - 0.9990 = 0.001

0.1% probability that if the coin is actually fair, we reach a false conclusion.

(ii) If the coin is actually unfair, what is the probability that we shall reach a false conclusion?

Comes up heads 60% of the time, so p = 0.6

1000 trials, so n = 1000

So

E(X) = np = 1000*0.6 = 600

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{1000*0.6*0.4} = 15.49

If the coin lands on less than 550 times(that is, 549 or less), then we shall conclude that it is a biased coin.

So this is the pvalue of Z when X = 549.

Z = \frac{X - \mu}{\sigma}

Z = \frac{549 - 600}{15.49}

Z = -3.29

Z = -3.29 has a pvalue of 0.0005

0.05% probability that if the coin is actually unfair, we reach a false conclusion

5 0
3 years ago
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