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Darya [45]
2 years ago
10

Jan began with 5/6 pound of modeling clay she used 1/5 of the clay to make decorative magnets. She divided the remaining clay in

to 8 equal portions what is weight of the clay in each portion?
Mathematics
1 answer:
lawyer [7]2 years ago
5 0
Starting weight:  5/6 lb.  Of this, Jan used 1/5, which would be (1/5)(5/6) lb, 
or 1/6 lb, leaving 4/6 lb, or 2/3 lb. unused.

                                                       2/3 lb
Now divide 2/3 lb by 8 portions:  ----------------- = (2/24) lb/portion, or 
                                                       8 portions

1/12 lb/portion.
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kaheart [24]
In your problem:
p = 18.3% = 0.183
n = 130

The standard error can be calculated by the formula:
SE = √[p · (1 - p) / n]
     = √[0.183 · (1 - 0.183) / 130]
     = 0.0339

The standard error of the proportion is 0.034.
7 0
2 years ago
A triangle is such that the largest angle is 7 times the smallest angle. The third angle is 15 less than the largest angle. Find
Tcecarenko [31]

Answer:

<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>

Step-by-step explanation:

Let's recall that the interior angles of a triangle add up to 180°, therefore we have:

Smallest angle = x

Largest angle = 7x

Third angle = 7x - 15

Now, we can solve for x, using the following equation:

x + 7x + 7x - 15 = 180

15x = 180 + 15

15x = 195

x = 195/15

x = 13 ⇒ 7x = 91 ⇒ 7x - 15 = 76

<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>

8 0
2 years ago
Twelve people each have a standard deck of cards. Each person shuffles the deck and draws two cards (without replacement). Anyon
Arada [10]

Answer:

The number of people, of the twelve, who will win a prize is 5.

Step-by-step explanation:

In a standard deck of cards there are 52 cards.

The 52 cards are divided into 4 suits: Hearts, Diamonds, Spades and Clubs, each of 13 cards.

Each of the 12 people draws 2 cards from their standard deck of cards.

Compute the probability of selecting at least 1 diamond as follows:

P (At least 1 diamond) = 1 - P (No diamond)

                                    =1-\frac{{39\choose 2}}{{52\choose 2}} \\=1-\frac{741}{1326}\\ =1-0.5588\\=0.4412

The probability of selecting at least 1 diamond is 0.4412.

If a person draws at least 1 diamond he wins a prize.

The expected number of people who will win the prize is:

E (Wins a prize) = n × P (At least 1 diamond)

                          =12\times0.4412\\=5.2944\\\approx5

Thus, the number of people of the twelve who will win a prize is 5.

3 0
2 years ago
Mrs. Dryson is dividing her collection of 52 glass bears into groups of equal numbers. She has 1 bear left over. How many groups
Zepler [3.9K]
It was probably 20 idk
3 0
2 years ago
A store has a 25\%25%25, percent off sale on coats. With this discount, the price of one coat is \$34.50$34.50dollar sign, 34, p
nordsb [41]

Answer:

8.625

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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