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3 years ago

You want to know how many calories you burn when you exercise. Look at the calories / exercise table below.

Mathematics

1 answer:

EleoNora [17]3 years ago

3 0

First question answer :

cycle for 3 hour = 384*3=1152 calories burn

swim for 1 hour = 303

then, total cycle for 3 hour and 1 hour swim burn = 303+1152 = 1455 calories.

second question answer:

cycle for 5 hour burns = 384 *5 =1920

calories

cycle 5 hour for 6 days burns = 1920*6 =11520 calories

run 1 hour burns = 390 calories

Then,

total 11910 (11520+390) calories burn in a week

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In a multiple choice quiz there are 5 questions and 4 choices for each question (a, b, c, d). Robin has not studied for the quiz

Ahat [919]

Answer:

a) There is a 18.75% probability that the first question that she gets right is the second question.

b) There is a 65.92% probability that she gets exactly 1 or exactly 2 questions right.

c) There is a 10.35% probability that she gets the majority of the questions right.

Step-by-step explanation:

Each question can have two outcomes. Either it is right, or it is wrong. So, for b) and c), we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

In this problem we have that:

Each question has 4 choices. So for each question, Robin has a $\frac{1}{4} = 0.25$ probability of getting ir right. So $\pi = 0.25$ . There are five questions, so $n = 5$ .

(a) What is the probability that the first question she gets right is the second question?

There is a 75% probability of getting the first question wrong and there is a 25% probability of getting the second question right. These probabilities are independent.

$P = 0.75(0.25) = 0.1875$

There is a 18.75% probability that the first question that she gets right is the second question.

(b) What is the probability that she gets exactly 1 or exactly 2 questions right?

This is: $P = P(X = 1) + P(X = 2)$

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 1) = C_{5,1}.(0.25)^{1}.(0.75)^{4} = 0.3955$

$P(X = 2) = C_{5,2}.(0.25)^{2}.(0.75)^{3} = 0.2637$

$P = P(X = 1) + P(X = 2) = 0.3955 + 0.2637 = 0.6592$

There is a 65.92% probability that she gets exactly 1 or exactly 2 questions right.

(c) What is the probability that she gets the majority of the questions right?

That is the probability that she gets 3, 4 or 5 questions right.

$P = P(X = 3) + P(X = 4) + P(X = 5)$

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 3) = C_{5,3}.(0.25)^{3}.(0.75)^{2} = 0.0879$

$P(X = 4) = C_{5,4}.(0.25)^{4}.(0.75)^{1} = 0.0146$

$P(X = 5) = C_{5,5}.(0.25)^{5}.(0.75)^{0} = 0.001$

$P = P(X = 3) + P(X = 4) + P(X = 5) = 0.0879 + 0.0146 + 0.001 = 0.1035$

There is a 10.35% probability that she gets the majority of the questions right.

6 0

2 years ago

Determine if is y=3x^2+2x-3 linear, quadratic, or exponential.

podryga [215]

Answer:

it is quadratic

Step-by-step explanation:

a quadratic graph should look like this

MARK BRAINIEST IF IT HELPS

6 0

2 years ago

Can someone help me please i need to get this right

mixer [17]

Answer:

If there are 2 quarters for every 3 nickels,

then there are $45*\frac{2}{3} =30$ quarters.

If there are 2 dimes for every quarter,

then there are $30*2=60$ dimes.

If the number of pennies and nickels together are equal to the number of dimes, then there are $60-45=15$ pennies.

6 0

2 years ago

A map has a scale of 1 in. : 38 ft use the given map distance to find the actual distance

Dvinal [7]

Answer:

for q 19 its x=209ft and for 21 its 66.5 ft i forgot q 20

Step-by-step explanation:

8 0

2 years ago

Answer please!!!!!!!!!!!!!!!!!!

castortr0y [4]

The rule is "whatever the input is, multiply it by 5, then subtract 2"

For example, if the input is 4 then 4*5 = 20 and 20-2 = 18
So in short, the input 4 leads to the output 18 as shown in the top row of the diagram.

The answer is the box on the bottom row, right hand side where it says "x 5" and "-2" in the two bubbles.

7 0

3 years ago