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padilas [110]
2 years ago
12

There are 27 girls and 36 boys who want to participate in a math competition. If each team must have the same ratio of girls and

boys what’s the greatest number of teams that can enter?
Mathematics
1 answer:
Reptile [31]2 years ago
7 0

Since the ratio of girls and boys must be the same in each team, and all the competitors must be involved, it means that each team's ratio of boys : girls must be equal to the total ratio of Boys : Girls = 36 :27= 4 / 3.

Now 4 / 3, the most simplified version of 36 / 27, happens by dividing the numerator & demoninator by 9 (the greatest number it can divide by). So the greatest number will be 9 teams, each of  4 Boys & 3 Girls

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1 1/2x3 2/3 please help
aliina [53]

Answer:

Exact form: 11/2

Decimal form: 5.5

Mixed number form: 5 1/2

Step-by-step explanation:

7 0
2 years ago
Milk has a pH of 6.7, which is slightly acidic. Cheesemakers add culture to milk to lower the pH, making it more acidic and turn
vladimir1956 [14]

Answer:

e. The probability of observing a sample mean of 5.11 or less, or of 5.29 or more, is 0.018 if the true mean is 5.2.

Step-by-step explanation:

We have a two-tailed one sample t-test.

The null hypothesis claims that the pH is not significantly different from 5.2.

The alternative hypothesis is that the mean pH is significantly different from 5.2.

The sample mean pH is 5.11, with a sample size of n=50.

The P-value of the test is 0.018.

This P-value corresponds to the probability of observing a sample mean of 5.11 or less, given that the population is defined by the null hypothesis (mean=5.2).

As this test is two-tailed, it also includes the probability of the other tail. That is the probability of observing a sample with mean 5.29 or more (0.09 or more from the population mean).

Then, we can say that, if the true mean is 5.2, there is a probability P=0.018 of observing a sample of size n=50 with a sample mean with a difference bigger than 0.09 from the population mean of the null hypothesis (5.11 or less or 5.29 or more).

The right answer is e.

7 0
2 years ago
The figure shows a kite inside a rectangle. Which expression represents the area of the shaded region? 2x2 4x2 6x2 8x2
Savatey [412]
The picture in the attached figure

we know that
area of the <span>the shaded region=area of rectangle -area of a kite

area of rectangle=(3x+x)*(x+x)----> 4x*2x---> 8x</span>²

area of a kite=(1/2)*[d1*d2]
where d1 and d2 are the diagonals
d1=4x
d2=2x
so
area of a kite=(1/2)*[4x*2x]----> 4x²

area of the the shaded region=8x²-4x²-----> 4x²

the answer is 
4x²

4 0
2 years ago
Read 2 more answers
The water in the reservoir decreases by 47% during a drop period before the drought the reservoir had 44,580 acre feet of water
Ket [755]
47 * 44,580
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8 0
2 years ago
Simplify give ur answer in index form.​
kherson [118]

\frac{( {j}^{4} \:  \times  \:  {j}^{8}) ^{3}  }{( {j}^{9} \:  \div  \:  {j}^{2}) ^{2}   }

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\frac{( {j}^{12}) ^{3}  }{( {j}^{9} \:  \div  \:  {j}^{2}) ^{2}   }

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\frac{( {j}^{12}) ^{3}  }{( {j}^{7}) ^{2}   }

  • We multiply the exponents of the expression.

\frac{ {j}^{36} }{ {j}^{14} }

  • We divide.

\boxed{ \bold{ {j}^{22} }}

<h3><em><u>MissSpanish</u></em></h3>

3 0
2 years ago
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