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FinnZ [79.3K]
3 years ago
13

Darius gave _____________ _________ friends.

Mathematics
1 answer:
Luba_88 [7]3 years ago
5 0
Dairies gave each friend 1 muffin each.
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What is 52/624 simplified?<br><br>(Hurry please) ​
ZanzabumX [31]

Hey there!

:)

Simplifying fractions means dividing the numerator and the denominator by the same number.

So we know that both 52 and 624 are divisible by 2. However, it will take some time.

Turns out 624 is divisible by 52!

\frac{1}{12} is the answer. Hope it helps!

#HaveAnAmazingDay

GraceRosalia

8 0
3 years ago
Read 2 more answers
Each day, Robin commutes to work by bike with probability 0.4 and by walking with probability 0.6. When biking to work injuries
kvasek [131]

Answer:

64.65% probability of at least one injury commuting to work in the next 20 years

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}&#10;

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Each day:

Bikes to work with probability 0.4.

If he bikes to work, 0.1 injuries per year.

Walks to work with probability 0.6.

If he walks to work, 0.02 injuries per year.

20 years.

So

\mu = 20*(0.4*0.1 + 0.6*0.02) = 1.04

Either he suffers no injuries, or he suffer at least one injury. The sum of the probabilities of these events is decimal 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1). Then

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}&#10;

P(X = 0) = \frac{e^{-1.04}*1.04^{0}}{(0)!} = 0.3535&#10;

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3535 = 0.6465

64.65% probability of at least one injury commuting to work in the next 20 years

3 0
3 years ago
If two lines are parallel which statement must be true? A.Their slopes are zero. B.Their slopes are negative reciprocals. C. The
stepan [7]

Answer:

D

Step-by-step explanation:

Parallel lines have the same gradient.

A line with a slope of zero is a horizontal line. Although two lines that have a slope of zero will result in two parallel lines, not all parallel lines are horizontal lines. Since the question is asking for which statement <u>must</u> be true, option A is incorrect.

If the slopes of two lines are negative reciprocals, they are perpendicular to each other. This is because the product of the gradients of 2 perpendicular lines is -1. Let the gradient of the first line be A and the other be B.

AB= -1

A =   - \frac{ 1}{B}

B =  -  \frac{1}{A}

Thus, option B is incorrect too.

Undefined slopes gives vertical lines. Like option A, if two lines have an undefined slope, they will be parallel to each other. However since parallel lines are nit necessarily vertical lines, option C is also incorrect.

4 0
3 years ago
Read 2 more answers
What is the y-intercept of this equation?<br> y= 2/9x +13
Ksju [112]

Answer:

13

Step-by-step explanation:

y=mx+b

b= y-intercept

5 0
3 years ago
Read 2 more answers
What two numbers multiply to 10 and add up to 11
musickatia [10]

Answer:

1 and 10

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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