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IgorLugansk [536]
3 years ago
14

Diego said that the awnser to the question "How many groups of 5/6 are in 1?" Is 6/5 or 1 1/5.Do you agree with his statement? E

xplain or show your reasoning.
Mathematics
1 answer:
slamgirl [31]3 years ago
3 0

Answer:

Diego is correct.

He has correctly divided 1 in groups of \frac{5}{6}.

Step-by-step explanation:

The question 'How many groups of 5/6 are in 1?'  means that we need to divided 1 into groups of \\frac{5}{6}.

When we form groups from a given total, we divided the total by the size of the group.

If we are dividing N number of people in groups of x number of people, then the expression to find the number of groups formed can be given as:

⇒ \frac{N}{x}

For this question the data given is:

N=1

x=\frac{5}{6}

So, the number of groups formed can be given as:

⇒ \frac{1}{\frac{5}{6}}

When divisor is a fraction, then we multiply the reciprocal of the divisor with the dividend.

⇒ 1\times\frac{6}{5}

⇒ \frac{6}{5}

In order to convert fraction to mixed number we will divide numerator with denominator and then write the quotient as whole number, remainder as numerator and the denominator remains as it is.

On dividing 6 by 5, the quotient =1 and remainder =1. Thus the mized number is:

⇒ 1\frac{1}{5}

Thus, there are \frac{6}{5} or 1\frac{1}{5} groups in 1. This matches with Diego's answer and hence he is correct.

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3 loq, 6) - 2 log (5x) = 2
Scrat [10]

Answer:

is this the answer im sorry i did not put steps i was in a hurry to go to the next class.

Step-by-step explanation:

y=10(log(5x)+1)/9lq(y,x)

l=0

4 0
3 years ago
Please Help!!!!
Angelina_Jolie [31]

Answer:

(4,5)

Step-by-step explanation:

The "feasible region" has vertices (0,0), (7,0), (5,4), and (4,5)

P = 5x + 6y

Plug in each vertices in P  and find out which give maximum value

(0,0) => P= 5(0) + 6(0) = 0

(7,0) => P= 5(7) + 6(0) = 35

(5,4) => P= 5(5) + 6(4) = 49

(4,5) => P= 5(4) + 6(5) = 50

We got maximum P=50 for vertex (4,5)

So  the coordinates of the point that has the maximum value is  (4,5)

6 0
3 years ago
A cereal box filling machine is designed to release an amount of 16 ounces of cereal into each box, and the machine’s manufactur
Paraphin [41]

Using the z-distribution, it is found that since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the mean is not different to 16 ounces, that is:

H_0: \mu = 16

At the alternative hypothesis, it is tested if the mean is different, hence:

H_1: \mu \neq 16

<h3>What is the test statistic?</h3>

The test statistic is:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

In which:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • \sigma is the standard deviation of the population.
  • n is the sample size.

The parameters for this problem are:

\overline{x} = 15.75, \mu = 16, \sigma = 1.46, n = 150.

Hence:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{15.75 - 16}{\frac{1.46}{\sqrt{150}}}

z = -2.1

<h3>What is the p-value and the conclusion?</h3>

Using a z-distribution calculator, for a two-tailed test, as we are testing if the mean is different of a value, with z = -2.1, the p-value is of 0.0357.

Since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ1

3 0
1 year ago
I need help with this!!<br>Please..<br>​
vagabundo [1.1K]

Answer:

What's the previous problem

Step-by-step explanation:

7 0
3 years ago
Use a system of equations to solve a problem involving distance, speed, and time.
Yuki888 [10]

Answer:

Speed of boat in still water is 26km/hr

Step-by-step explanation:

Let the speed of boat in still water be x and speed of stream by y.

Speed at which it went upstream would be (x-y) and the speed at which it went downstream would be (x+y). According to question x+y=24 and x-y=28. x=26 and y=-2.

7 0
3 years ago
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