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JulsSmile [24]
3 years ago
6

A baker decorates 42 cupcakes in 30 minutes. She decorates cupcakes at a constant rate. How many cupcakes can the baker decorate

per minute?
Mathematics
2 answers:
jolli1 [7]3 years ago
8 0
Divide 42 by 30 and that should be your correct answer. 

hope this helps.
sukhopar [10]3 years ago
3 0

Answer:

1.4 cupcakes can a baker decorates in 1 minutes.

Step-by-step explanation:

A baker decorates in 30 minutes = 42 cupcakes

If she decorates at a constant rate.

To find out how many cupcakes can the baker decorate per minute, we divide 42 by 30

she decorate in 1 minute = \frac{42}{30}

= 1.4 cupcakes

1.4 cupcakes can a baker decorates in 1 minutes.

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Quiz 2
jek_recluse [69]
There’s a 75% chance that everyone in the group is a girl
5 0
3 years ago
g Use the information below for questions 1 through 5. A San Francisco-based tech firm is able to keep 80% of its new employees
meriva

Answer:

0.64 = 64% probability that two randomly sampled new employees will both be able to survive their first year

Step-by-step explanation:

For each employee, there are only two possible outcomes. Either they survive the first year, or they do not. The probability of an employee surviving the first year is independent of other employees. This means that we use the binomial probability distribution to solve this question.

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}.p^{x}.(1-p)^{n-x}

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

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

And p is the probability of X happening.

A San Francisco-based tech firm is able to keep 80% of its new employees after one year.

This means that p = 0.8

Q1. What is the chance that two randomly sampled new employees will both be able to survive their first year

This is P(X = 2) when n = 2. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{2,2}.(0.8)^{2}.(0.2)^{0} = 0.64

0.64 = 64% probability that two randomly sampled new employees will both be able to survive their first year

3 0
2 years ago
What is 168÷12 you must answer please
Solnce55 [7]

Answer:

14

Step-by-step explanation:

168/ 12

6 0
2 years ago
Read 2 more answers
Suppose that the amount of algae in a pond doubles every 3 hours. If the pond initially contains 50 pounds of algae, how much al
allochka39001 [22]

Answer:

After 8 hour there will be 317.64 pounds of algae.

y-intercept: (0, 50)

Step-by-step explanation:

At time = 0 hours, there are 50 pounds of algae, after 3 hour there will be 100 pounds of algae, after 6 hour there will be 200 pounds of algae, and so on.

Exponential growth is modeled by the following equation:

y = x0*(1 + r)^t

where x0 is the amount of algae at the beginning, r is the rate of change, and y is the amount of algae after t hours. Replacing with data:

100 = 50*(1 + r)^3

2 = (1 + r)^3

ln(2) = 3*ln(1 + r)

r = exp(ln(2)/3) - 1

r = 0.26

This result can be checked as follows

y = 50*(1 + 0.26)^6 = 200

After 8 hours:

y = 50*(1 + 0.26)^8 = 317.64

The y-intercept corresponds to t = 0

y = 50*(1 + 0.26)^0 = 50

8 0
3 years ago
Which of the following accurately shows the range of the function defined below?
ale4655 [162]

Answer:

*Me explaining Which of the following accurately shows the range of the function defined below* There you go.

Step-by-step explanation:

4 0
2 years ago
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