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jok3333 [9.3K]
3 years ago
15

A new experimental strain of pepper plants was being studied to estimate how much fruit one plant would produce in a typical gro

wing season. The mean weight of peppers produced per plant was 15.0 pounds, with a standard deviation of 1.75 pounds. The weights were normally distributed. There were 200 plants in the experiment. How many plants would you estimate produced peppers weighing between 13 and 16 pounds
Mathematics
1 answer:
zmey [24]3 years ago
7 0

Answer:

58.9% produced produced peppers weighing between 13 and 16 pounds.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1.75

We are given that the distribution of weight of peppers is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(peppers weighing between 13 and 16 pounds)

P(13 \leq x \leq 16) = P(\displaystyle\frac{13 - 15}{1.75} \leq z \leq \displaystyle\frac{16-15}{1.75}) = P(-1.142\leq z \leq 0.571)\\\\= P(z \leq 0.571) - P(z < -1.142)\\= 0.716 - 0.127 = 0.589 = 58.9\%

P(13 \leq x \leq 16) = 58.9\%

58.9% produced produced peppers weighing between 13 and 16 pounds.

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An animal shelter has 24 puppies. If the puppies are 32% of the total dog and cat population, how many dogs and cats are in the
34kurt

population *32% = 24

population *.32 = 24

population = 24/.32

population = 75

4 0
3 years ago
Prove that 7-4√7 is irrational​
mixas84 [53]

Answer:

hey ;

7 - 4 \sqrt{7}

is an irrational number

Step-by-step explanation:

here's the proof in attachment.

<em>i</em><em> </em><em>hope</em><em> </em><em>it</em><em> </em><em>helped</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em>

3 0
3 years ago
A househusband is cooking beef stew for his family in a pan that is (a) uncovered, (b) covered with a light lid, and (c) covered
raketka [301]

Answer:

Cooking will be shortest when the househusband covers the beef stew with the heavy lid.

Step-by-step explanation:

The explanation for this is that water boils at 100°C at normal atmospheric pressure & it remains at that temperature until all the water evaporates as steam; the temperature can then go higher in steam form.

So, if he leaves the pan uncovered the pressure above the beef stew will be the atmospheric pressure and the temperature of the stew will not pass the 100°C mark and the food cooks at 100°C.

If he places a light lid on top, the pressure will build up & the temperature at which water remains liquid is a bit higher, but eventually the steam will push the lid to escape thereby releasing pressure & reducing the temperature.

If he puts a heavy lid on the pan the pressure can build up the highest and the temperature of the water in the stew will stay the highest ensuring the fastest cooking.

Basically, the heavier the lid, greater the pressure in the pan. As the pressure gets greater, the saturation temperature at which water starts boiling will be higher. And higher boiling temperatures mean shorter cooking times.

8 0
3 years ago
Tell whether the given number is a solution of each question. ( Must show work for credit)
guajiro [1.7K]

Answer/Step-by-step explanation:

1. 9 = 2a + 3 ; 3

Let's solve for a.

9 - 3 = 2a (subtraction property of equality)

6 = 2a

\frac{6}{2} = a (division property of equality)

3 = a

a = 3

Therefore, 3 is a solution to 9 = 2a + 3

2. 5n - (-30) = 5 ; 7

5n + 30 = 5 (- × - = +)

5n = 5 - 30 (Subtraction property of equality)

5n = -25

\frac{5n}{5} = \frac{-25}{5} (division property of equality)

n = -5

Therefore, 7 is not a solution of 5n - (-30) = 5

3. 4.4r - 2.8 = 1.6 ; 1

4.4r = 1.6 + 2.8

4.4r = 4.4

\frac{4.4r}{4.4} = \frac{4.4}{4.4}

r = 1

Therefore, 1 is a solution of 4.4r - 2.8 = 1.6.

5 0
3 years ago
The answers please. Don’t know how to do #1
daser333 [38]
Your correct. It is what you put down
3 0
3 years ago
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