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3 years ago

On a six-day vacation, the forecast is a 70% chance of rain every day. What’s the probability that it rains every day?

Mathematics

1 answer:

docker41 [41]3 years ago

8 0

Answer:

0.12 (12%)

Step-by-step explanation:

Step 1: Given data

Probability of rain every day: 70% (0.7)

Step 2: Calculate the probability that it rains every day

The probability that it rains one day is independent of the probability that it rains another day. For independent events, we can calculate the probability that it rains every day by multiplying the individual probabilities. Since the individual probabilities are equal, this is the same as raising the individual probability to the number of days.

P = 0.7⁶ = 0.12

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What is the radian measure of 205°? Express your answer as a fraction.

V125BC [204]

The radian measure of 205 degees is $\frac{ 41 \pi }{36}$ radians

Solution:

Given that we have to express 205 degrees as radian

To convert from degrees to radians use the following:

$x^{\circ} \times \frac{ \pi}{180}$

where x is the value in degrees to be converted

Here, x = 205 degrees

Substituting we get,

$\rightarrow 205 \times \frac{ \pi }{180}\\\\\rightarrow 41 \times \frac{ \pi }{36}\\\\\rightarrow \frac{41 \pi}{36}$

Thus the radian measure of 205 degees is $\frac{ 41 \pi }{36}$ radians

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3 years ago

You fill bags with cookies to give your friends. You bake 45 chocolate chip cookies, 30 peanut butter cookies, and 15 oatmeal co

babunello [35]

Answer:

The answer to your question is 15 bags.

Step-by-step explanation:

Data

45 chocolate chip cookies

30 peanut butter cookies

15 oatmeal cookies

Process

1.- Calculate the Greatest Common Factor (GCF) for the number of cookies.

45 30 15 2

45 15 15 3

15 5 5 3

5 5 5 5

1 1 1

GCF = 3 x 5 = 15

2.- Conclusion

I can make 15 bags of cookies with the following distribution

Each bag will have - 3 chocolate chip cookies

- 2 peanut butter cookies

- 1 oatmeal cookie.

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3 years ago

In the pre-image of the parallelogram, the slope of AD is −3 and the slope of BC is −3. The image is translated down 7 units and

IrinaVladis [17]

Answer:

vertical intercept (0,-3)

Step-by-step explanation;

Equation: y=s-3

Root (3,0)

Domain s $e$ R

Range y $e$ R

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3 years ago

Read 2 more answers

Write the number 1/10,000,000 as a power of 10 using a negative exponents

allochka39001 [22]

First, convert into a decimal:

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Next, convert to "the number with a power of 10 using a negative exponent. Move the decimal point to the first number that is not 0 (sorry, there is a term for it, but i can't remember it right now, but it is not important to solving the answer)

0.000001 = 1 * 10^-7

1 * 10^-7 is your answer

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4 years ago

What division expression represents the average number of people

Sergeeva-Olga [200]

y=?

y/?

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3 years ago