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3 years ago

Please answer how much she'll have left

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

4 0

She will have 3/4ths cake left because she ate 4/5ths the night before and the next morning she ate 1/4th of the cake, it is 1/4 because that's what was left of the cake from 4/5ths of what she ate the night before. Hope this helps the answer is 3/4th.

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Flying against the wind, an airplane travels 4500km in 6 hours. Flying with the wind, the same plane travels 2910 kilometers in

katen-ka-za [31]

Let a denote the airplane's speed in still air, and w the windspeed.

When the plane flies against the wind, it can travel an average speed of

(4500 km) / (6 h) = 750 km/h

so that

a - w = 750 km/h

Flying with the wind, it moves at a speed of

(2910 km) / (3 h) = 970 km/h

so that

a + w = 970 km/h

Add the two equations to eliminate w and solve for a :

(a - w) + (a + w) = 750 km/h + 970 km/h

2a = 1720 km/h

a = 860 km/h

Subtract them to eliminate a and solve for w :

(a - w) - (a + w) = 750 km/h - 970 km/h

-2w = -220 km/h

w = 110 km/h

7 0

3 years ago

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p

Lubov Fominskaja [6]

Answer:

P(X ≤ 3) = 0.9933.

Step-by-step explanation:

We are given that the random variable X has a binomial distribution with the given probability of obtaining a success

Also, given n = 5, p =0.2.

The above situation can be represented through binomial distribution;

$P(X = r)= \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ;x = 0,1,2,3,.........$

where, n = number of samples (trials) taken = 5

r = number of success = less than equal to 3

p = probability of success which in our question is 0.20.

Let X = A random variable

So, X ~ Binom(n = 5, p = 0.20)

Now, the probability that X is less than and equal to 3 is given by = P(X ≤ 3)

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= $\binom{5}{0} \times 0.20^{0} \times (1-0.20)^{5-0}+\binom{5}{1} \times 0.20^{1} \times (1-0.20)^{5-1}+\binom{5}{2} \times 0.20^{2} \times (1-0.20)^{5-2}+\binom{5}{3} \times 0.20^{3} \times (1-0.20)^{5-3}$

= $1 \times 1 \times 0.80^{5}+5 \times 0.20^{1} \times 0.80^{4}+10 \times 0.20^{2} \times 0.80^{3}+10 \times 0.20^{3} \times 0.80^{2}$

= 0.9933

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3 years ago

How to measure in inches for grade 2

Usimov [2.4K]

Answer: Put your index finger and middle finger together

Step-by-step explanation: At that age your fingers are really skinny so they add up to a whole in. To measure a centimeter all you have to do is measure it with your pinky

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3 years ago

( p^2 - 8p^4 - 11p^3 ) + ( 4p^2 + 7p^4 )

Alenkasestr [34]

Hold up ion even understand this

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3 years ago

A graph is drawn to represent a relationship between distance, d, and time, t. Which situation could be represented on the graph

Deffense [45]

The graph forms a straight line going downwards. The straight line means that the speed is constant. It is going downwards meaning it is stopping.

The best statement that represents the graph is:

Each point shows the remaining distance, in feet, to the finish line of a race t seconds after a runner begins the final stretch and runs at a constant speed.

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3 years ago

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