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3 years ago

15

Mary baked a batch of three dozen cookies for 40 woman at the woman's club. Next month the woman's club is expecting 60 women to

attend the monthly meeting how many cookies should Mary bake?

1 answer:

blondinia [14]3 years ago

8 0

Answer:

6 dozen

Step-by-step explanation:

You might be interested in

Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below cer

aleksley [76]

Answer:

a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates

Step-by-step explanation:

For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used 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.

70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.

This means that $p = 0.7$

Five residential subscribers are randomly selected from San Juan, Puerto Rico

This means that $n = 5$

a. All five qualify for the favorable rate

This is P(X = 5). So

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

$P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681$

0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. At least four qualify for the favorable rates

This is

$P(X \geq 4) = P(X = 4) + P(X = 5)$

So

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

$P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602$

$P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681$

$P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283$

0.5283 = 52.83% probability that at least four qualify for the favorable rates

5 0

3 years ago

What is 3.0416666667 as a fraction

kirill [66]

Answer:
= 3041666667/1000000000

= 3041666667/1000000000

<span>= 3 41666667/1000000000 </span>
Work:
Write the decimal number as a fraction
(over 1)
3.041666667 = 3.041666667 / 1

Multiplying by 1 to eliminate 9 decimal places
we multiply top and bottom by 9 10's

Numerator (N)
N = 3.041666667 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 3041666667
Denominator (D)
D = 1 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 1000000000

N / D = 3041666667 / 1000000000

Simplifying our fraction

= 3041666667/1000000000

= 3041666667/1000000000

<span>= 3 41666667/1000000000</span>

4 0

3 years ago

A debate team has 15 female members. the ratio of females to males is 3:2 how many males are on the debate team?

ch4aika [34]

3 females 15 females
–––––––– = –––––––––
2 males n males
cross multiply
3n=15*2
3n=30
n=10
10 males

7 0

3 years ago

Please help. and Reduce to simpliest form. Thx <3

SCORPION-xisa [38]

Answer:

-11/8

Step-by-step explanation:

-7/8 - 1/2 = -11/8

3 0

3 years ago

S = 2πrh + 2πr2 for h

Rzqust [24]

Answer:

Step-by-step explanation:

Oh great!

6 0

4 years ago

Read 2 more answers