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aalyn [17]
4 years ago
7

A container at a juicing plant holds 4 2/3 tons of oranges. The plant can juice 1 2/3 tons of oranges per day. At this rate, how

long will it take to empty the container
Mathematics
2 answers:
WITCHER [35]4 years ago
7 0
The answer is 4 days
jolli1 [7]4 years ago
3 0

Answer:

number of days = 2.8 days

Step-by-step explanation:

A container at a juicing plants holds 4 2/3 tons of oranges . The plant can juice 1 2/3 tons of oranges per day . The number of days it will take to empty the container can be calculated as follows:

Firstly, convert the whole number fractions to improper fractions

The container holds 4 2/3 = 14/3 tons of orange

The plant can juice 1 2/3 = 5/3 tons of oranges per day

5/3 tons of oranges =  1 day

14/3 tons of oranges = ? days

cross multiply

number of days = 14/3 ÷ 5/3

number of days = 14/3 × 3/5

number of days = 14/5

number of days = 2.8 days

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1-Step-by-step explanation:

5 0
3 years ago
In a random sample of 60 shoppers from a large suburban mall, 36 indicated that they had been to a movie in the past month. In a
ZanzabumX [31]

Answer:

There is no enough statistical evidence to reject the hypothesis that the proportion of suburban mall shoppers who had been to a movie in the same month is the same as the proportion downtown.

Step-by-step explanation:

We have to perform an hypothesis test on the difference of proportions to see if there is enough evidence to reject the null hypothesis.

The null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a: \pi_1-\pi_2\neq0

The significance level is assumed to be α=0.05

The suburban sample has  a proportion of

p_1=36/60=0.6

The downtown sample has a proportion of

p_2=31/50=0.62

The average of proportion is:

p=\frac{n_1p_1+n_2p_2}{n_1+n_2}=\frac{60*0.60+50*0.62}{60+50}=\frac{67}{110}=0.61

The standard deviation of the difference of proportions is:

s_{p1-p2}=\sqrt{\frac{p(1-p)}{n_1} +\frac{p(1-p)}{n_2} } =\sqrt{\frac{0.61*0.39}{60} +\frac{0.61*0.39}{50} }\\\\s_{p1-p2}=\sqrt{0.003965+0.004758}=0.0934

Then, we can calculate the value of the statistic z

z=\frac{p_1-p_2}{s}=\frac{0.60-0.62}{0.0934}=\frac{-0.02}{0.0934} =  0.214

The P-value for this z is:

P(|z|>0.214)=0.83054

The P-value is bigger than the significance level, so there is no enough evidence to reject the null hypothesis.

7 0
3 years ago
Kiesha can install a fence in 3 days. Robert can install the same fence in 8 days. How long, in days,
tankabanditka [31]

Answer:

5.5 days

Step-by-step explanation:

you need to find the average between them so add them up and divide by 2.

4 0
3 years ago
The math department is putting together an order for new calculators. The student are asked what model and color they prefer
kenny6666 [7]

Answer:

The second option

Step-by-step explanation:

Please find attached the complete question in the attached image

the proportion of students that like the silver calculator is 0.4 while the proportion of students that like the black calculator is 0.6. More students like the black calculator

the proportion of students that prefer the black model 77 calculator is 0.3 while the proportion of students that prefer the silver model 55 is 0.25. More students prefer the black model 77 calculator

the proportion of students that prefer the model 66 calculator is 0.15 while the proportion of students that prefer the model 55 calculator is 0.35. More students prefer the model 55

the fewest student prefer the silver model 66 calculator because it has the lowest proportion

8 0
3 years ago
If y varies jointly as x and the cube of z and y=16 when x=4 and z=2 then y=0.5 when x=-8 and z=-3?
Evgesh-ka [11]

Answer: F (False)

Step-by-step explanation:

 Jointly variation has the following form:

y=kxz

Where k is a constant of propotionality.

Substitute values:

If y=16, x=4 and z=2, then k is:

16=k(4)(2)^{3}\\k=1/2

If x=-8 and z=-3 the the value of y is:

y=(1/2)(-8)(-3)^{3}\\y=-108

Then the answer is FALSE.

8 0
4 years ago
Read 2 more answers
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