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Valentin [98]
3 years ago
13

Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of s

amples in her neighborhood. It takes Ashley 2/3 of a minute to prepare one bag. It takes each of her friends 75%, percent longer to prepare a bag.
How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?
Mathematics
2 answers:
irakobra [83]3 years ago
5 0

Answer:

5 1/3 hours.

Step-by-step explanation:

Ashley prepares 1 bag in 2/3 minutes.

One friend takes 2/3 + 3/4 * 2/3 = 7/6 minutes to make 1 bag.

4 of her friends can make 1 bag in 7/6 * 1/4 = 7/24 minutes.

If it takes x minutes for  Ashley and 4 friends to make one bag then we have:

1 / 2/3  + 1 / 7/24 = 1 / x

3/2 + 24/7 = 1/x

Multiply through by 14x:

21x + 48x = 14

x = 14/69 minutes.

So the  time to make 1575 bags = 1575 * 14/69

=  320 minutes.

hram777 [196]3 years ago
5 0

Answer:

5 3/5

Step-by-step explanation:

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Answer:

Probability that the sample proportion will be greater than 0.5 is 0.8133.

Step-by-step explanation:

We are given that the a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organization is about to take a simple random sample of voters and will use the sample proportion to estimate p.

Suppose that the polling organization takes a simple random sample of 500 voters.

<em>Let </em>\hat p<em> = sample proportion</em>

The z-score probability distribution for sample proportion is given by;

               Z = \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion

           p = population proportion = 48%

           n = sample of voters = 500

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the sample proportion will be greater than 0.5 is given by = P( \hat p > 0.50)

  P( \hat p > 0.50) = P( \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < \frac{0.50-0.48}{\sqrt{\frac{0.50(1-0.50)}{500} } } ) = P(Z < 0.89) = 0.8133

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.89 in the z table which has an area of 0.8133.</em>

Therefore, probability that the sample proportion will be greater than 0.50 is 0.8133.

6 0
3 years ago
What is 18% of 65? (I will give brainliest!)
Anettt [7]

Answer:

11.7

Step-by-step explanation:

3 0
2 years ago
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The volume of a rectangular prism is given by the product of its length, and height. Samantha has a rectangular prism that has a
Juli2301 [7.4K]

Answer:

V = a²b³ + acb² units³

Step-by-step explanation:

The volume of a rectangular prism is given by :

V = l×b×h

Here, l = b² units

b = aunits

h = ab+c units

So, the volume of the prism is given by :

V = b² × a × (ab+c)

= ab²(ab+c)

= a²b³ + acb²

Hence, the required volume is a²b³ + acb² units³.

3 0
3 years ago
A map has a scale of 5 in. = 15 mi. If you measured the distance between two cities to be 26 in. On the map, how many miles woul
Reil [10]

Answer:

Actual distance between the two cities given on the map = 78.0 miles

Step-by-step explanation:

Scale used for the actual distance between two cities on a map is,

5 in. = 15 mi.

\frac{5}{15} in. = \frac{15}{15} mi.

1 mi. = \frac{1}{3} in.

1 inch = 3 miles

Therefore, 26 inches on the map = 26 × 3

                                                        = 78 miles

Therefore, actual distance between the two cities given on the map = 78.0 miles

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2 years ago
A jet can carry up to 200,000 liters of fuel.it used 130,000 liters of fuel during a flight. What percentage of the fuel capacit
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Percentage=(fuel consumed/ full fuel capacity) *100%
=(130000/200000)*100%
=65%
3 0
2 years ago
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