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dem82 [27]
3 years ago
11

MATH QUESTION: Julie bought a bag of parsnips that weighed 4 2/7 pounds. She also bought a bag of turnips that weighed 1 1/3 tim

es as much as the parsnips. How many pounds of turnips did Julie buy? Express your answer as a simplified mixed number.
Mathematics
1 answer:
kati45 [8]3 years ago
5 0

Answer:

Julie buy 5\frac{5}{7} pounds of turnips.

Step-by-step explanation:

We are given that Julie bought a bag of parsnips that weighed (4\frac{2}{7}) pounds. She also bought a bag of turnips that weighed (1\frac{1}{3}) times as much as the parsnips.

We have to find how many pounds of turnips did Julie buy.

Firstly, the weight of a bag of parsnips that Julie bought = 4\frac{2}{7} = \frac{30}{7} pounds

Now, it is stated that she bought a bag of turnips that weighed (1\frac{1}{3}) times as much as the parsnips, that means;

Weight turnips bag = \frac{4}{3} \times \frac{30}{7}

                              = 4 \times \frac{10}{7}

                              = \frac{40}{7}

So, Julie buy 5\frac{5}{7} pounds of turnips.

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The best estimate for this correlation would be B) 0.9.

We can see that the number is constantly going up, which would throw out the D answer.

We can also see that for every time the x goes up 1, the y goes up a little less than one. We can see that in the ordered pairs that exist on the graph such as (3, 2), (8, 6) and (2.1, 1.9).

Since the y values are just lower than the x, the correlation would be just under one. Therefore, 0.9 is an accurate estimation.

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3 years ago
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What is the solution for the =.
liq [111]

Answer:

solution for n is \frac{-13}{4}

Step-by-step explanation:

Given an equation containing one variable n.

The equation is as follows:

\frac{-5}{2} =\frac{3}{4} +n

To solve for n we can subtract 3/4 from both the sides

The result is

\frac{-5}{2} -\frac{3}{4} =n\\Take LCD as 4\\\\frac{-10-3}{4} =n

Verify:

Substitute the answer in the given equation.

\frac{-5}{2} =\frac{3}{4} -(\frac{13}{4} )

Both sides equal thus proving our correctness of answer.


3 0
3 years ago
Write an equation for an exponential growth function where the initial population is 74 and the population quadruples during eac
Liono4ka [1.6K]
If the population quadruples every period say hour, that means the "rate of growth" is 300%, so whatever the current amount, increased by 3 times as much is 4 times the current amount, or a quadrupled amount.

\bf \qquad \textit{Amount for Exponential Growth}\\\\
A=I(1 + r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &74\\
r=rate\to 300\%\to \frac{300}{100}\to &3.00\\
t=\textit{elapsed time}\\
\end{cases}
\\\\\\
A=74(1+3)^t\implies A=74(4)^t
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3 years ago
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Answer:

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7 0
3 years ago
Which statement is not true for a binomial distribution with n = 15 and p = 1/20 ? a) The standard deviation is 0.8441 b) The nu
malfutka [58]

Answer:

d) The highest probability occurs when x equals 0.7500

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability, given by the following formula:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

In this problem, we have that:

n = 15, p = \frac{1}{20}

a) The standard deviation is 0.8441

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{15*0.05*0.95} = 0.8441

This is correct

b) The number of trials is equal to 15

n is the number of trials and n = 15. So this option is correct.

c) The probability that x equals 1 is 0.3658

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{15,1}.(0.05)^{1}.(0.95)^{14} = 0.3658

This option is correct.

d) The highest probability occurs when x equals 0.7500

False. The number of sucesses is a discrete number, that is, 0, 1, 2,...,15. P(X = 0.75), for example, does not exist.

e) The mean equals 0.7500

E(X) = np = 15*0.05 = 0.75

This option is correct.

f) None of the above

d is false

3 0
3 years ago
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