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gogolik [260]
2 years ago
6

Suppose you are buying orange juice and you want to find the best deal. You find four different brands that offer various sizes

that include 6 oz for $1.25, 8 oz for $1.33, 12 oz for $1.50 and 16 oz for $2.10. Which orange juice is the better buy?
Mathematics
1 answer:
Alenkinab [10]2 years ago
7 0

Answer: 3rd brand.

Step-by-step explanation:

1st brand:

6 oz cost $1.25

The amount per ounce will be:

= $1.25/6

= $0.21

2nd brand:

8 oz cost $1.33

The amount per ounce will be:

= $1.33/8

= $0.17

3rd brand:

12 oz cost $1.50

The amount per ounce will be:

= $1.50/12

= $0.125

4th brand:

16 oz cost $2.10

The amount per ounce will be:

= $2.10/16

= $0.13

From the calculation, the 3rd brand of orange juice is the better but as it's cheaper than others.

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At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective pa
11Alexandr11 [23.1K]

Answer:

Probability that fewer than 2 of these parts are defective is 0.604.

Step-by-step explanation:

We are given that at a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 19% of the time.

A random sample of 7 parts produced by this machine is chosen.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 7 parts

            r = number of success = fewer than 2

           p = probability of success which in our question is % of defective

                 parts produced by one of the machine, i.e; 19%

<em>LET X = Number of parts that are defective</em>

<u>So, it means X ~ Binom(n = 7, p = 0.19)</u>

Now, probability that fewer than 2 of these parts are defective is given by = P(X < 2)

    P(X < 2) = P(X = 0) + P(X = 1)

                  =  \binom{7}{0}\times 0.19^{0} \times (1-0.19)^{7-0}+ \binom{7}{1}\times 0.19^{1} \times (1-0.19)^{7-1}

                  =  1 \times 1 \times 0.81^{7} +7 \times 01.9^{1} \times 0.81^{6}

                  =  <u>0.604</u>

<em>Therefore, the probability that fewer than 2 of these parts are defective is 0.604.</em>

8 0
2 years ago
Thea would like to leave a 15% tip.<br> Her bill was $5.40. How much should<br> she leave?
iogann1982 [59]

Answer:

(5.40/100)*115 = 6.21 - 5.40 = 0.81 cents

Step-by-step explanation:

8 0
3 years ago
12. What percent of 60 is 12? Show your work.
lubasha [3.4K]
How many times does 12 go into 60?

5 times.

What is 100/5?

20

So, 20%.

You could also just divide 12/60 then get .2 and then realize that it is the same as .20 and that is the same as 20%. 
6 0
3 years ago
I need help with this
snow_lady [41]

Answer:

x = 2 square roots of 2

Step-by-step explanation:

it is a 45-45-90 triangle and in that the two legs are equal to each other so both are 2 and then the hypotenuse is x times the square root of 2

8 0
2 years ago
Find the volume of a pyramid with a square base, where the side length of the base is
irina [24]

The volume of the pyramid is  167.6 cube inch (approx).

Step-by-step explanation:

Given,

Each length (l) of the base of the pyramid = 8.3 in

Height(h) of the pyramid = 7.3 in

To find the volume of the pyramid.

Formula

Volume of the pyramid = \frac{1}{3}×area of the base×height

Area of the base = l²

Now,

The volume of the pyramid =  \frac{1}{3}×l²×h

=  \frac{1}{3}×8.3²×7.3 cube inch = 167.6 cube inch (approx)

8 0
3 years ago
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