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antiseptic1488 [7]
2 years ago
10

47. You and a friend are picking up trash on a beach.

Mathematics
2 answers:
Alenkasestr [34]2 years ago
6 0

Answer:

You would do it faster

Step-by-step explanation:

48/3 is 16 minutes per bag

28/2 is 14 minutes per bag

Dahasolnce [82]2 years ago
3 0

Answer:

You fill the bags faster. You will finish filling the 7 bags of trash 7 minutes sooner than your friend.

Step-by-step explanation:

Divide 28 minutes by the 2 bags of trash. You fill 1 bag of trash every 14 minutes. 28 ÷ 2 = 14

Your friend fills 1 bag of trash every 16 minutes.

48 ÷ 3 = 16

7 bags × 16 min. = 105 min.

7 bags × 14 min. = 98 min.

105 - 98 = 7 minutes

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Think about all of the ways in which a circle and a parabola can intersect. Select all of the number of ways in which a circle a
forsale [732]

Answer:

A circle can intersect a parabola in

1. One point [ when circle just touches the parabola]

2. Two points [ When circle cuts the parabola in two distinct points. ]

3. Three points [Circle just touches at one point and cuts the parabola in two distinct points]

4. Four points [ Either parabola or circle meeting each other or crossing at four distinct points]




4 0
2 years ago
Read 2 more answers
If the test scores of a class of 35 students have a mean of 74.3 and the test scores of another class of 28 students have a mean
STALIN [3.7K]
Let the total sum of the scores of the first class of 35 students be a. The mean is 74.3 .

So 
\frac{a}{35}=74.3\\\\a=35\cdot74.3= 2600.5

Also, let the total sum of the scores of the second class of 28 students be b. The mean is 67.6 .

so 
\frac{b}{28}=67.6\\\\ b=28\cdot67.6= 1892.8



The combined group has 35+28=63 students. The sum of their scores is 

a+b=
2600.5+1892.8=4493.3


Thus, the mean of the combined group is \frac{4493.3}{63}= 71.32

6 0
2 years ago
According to a survey by Bankrate, of adults in the United States save nothing for retirement (CNBC website). Suppose that adult
mezya [45]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 Yes the selection of 15 is a binomial  experiment

b

   P(r =  15) =  3.2768 *10^{-11}

c

  P(r  =  5) =  0.1032

d

P(r \ge 1 ) =  0.9648

Step-by-step explanation:

considering question a

Generally for and experiment to be binomial

The trial must be independent

There must be only two outcomes for each trial

Generally given that that the 15 adults are selected randomly which mean that the trials will be independent and that desired outcome is ''ether the adult save something for retirement or the adult saves nothing for retirement ''

Then we can say that the selection of 15 adult at is a binomial experiment

Considering question b

Generally the probability that all of the adults save nothing for retirement is mathematically represented as

P(r =  n) =  ^nC_r * p^r *  q^{n-r}

Here C stands for combination

r = 15 i.e all the selected adults

      n is the sample size with value  15

From the question p = 0.20

and q is calculated as

q =  1 - p

=> q =  1 - 0.20

=> q =  0.80

So

P(r =  15) =  ^{15}C_{15} * p^{15} *  q^{15-15}

P(r =  15) =  3.2768 *10^{-11}

Considering question c

Generally the probability that exactly five of the selected adults save nothing for retirement is mathematically represented as

P(r  =  5) =  ^{15} C_5 * (0.20)^5 *  (0.80)^{15}

P(r  =  5) =  0.1032

Considering question d

Generally the probability that at least one of the selected adults saves nothing for retirement is mathematically represented as

P(r \ge 1 ) =  1 - P (r = 0 )

P(r \ge 1 ) =  1 - [ ^{15} C _ 0 *  (0.20)^{0} * (0.80 )^{15}]

P(r \ge 1 ) =  1 - 0.0352

P(r \ge 1 ) =  0.9648

4 0
2 years ago
Abraham throws a ball from a point 40 m above the ground. The height of the ball from the ground level after ‘t' seconds is defi
Minchanka [31]

Answer:

8.899s

Solve: -5t^+40t+40

7 0
2 years ago
14 birds were sitting in a tree 21 more birds flew up to the tree how many birds were there altogether in the tree ?
kipiarov [429]
They are now 35 birds sitting in a tree.
8 0
2 years ago
Read 2 more answers
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