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Nataliya [291]
3 years ago
11

Set up the equation relating the new ratio of broth

Mathematics
2 answers:
Nonamiya [84]3 years ago
6 0

Answer:

A. 25/60 = x/100

This was correct on Edge btw :)

Lemur [1.5K]3 years ago
3 0

Answer:

\frac{25}{60}=\frac{x}{100}

Step-by-step explanation:

The equation relating the new ratio of broth is

\frac{25}{60}=\frac{x}{100}

Where, 60 represents a 100%.

Let's solve for x

25(100)=60x\\x=\frac{2500}{60}\\ x=41.67

Therefore, 25 represents a 41.67% of the solutions.

So, the right answer is the first choice.

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Define the term family therapy
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3 0
2 years ago
Show the formula for finding the area of a triangle. Then find the area of a right triangle with a base of 19 cm and a height of
snow_tiger [21]
The answer is 61.75 because you have to do base times height then divide that answer by two
5 0
3 years ago
The sum of three numbers is 27 the second number is three times the first while the third is twice the first find their average
Leviafan [203]

Answer:

9

Step-by-step explanation:

x = first number

3x = second number

2x = third number

27 = x + 3x+ 2x

27 = 6x

x=4.5 (first number)

3(4.5) = 13.5 (second number)

2(4.5) = 9 (third number)

(4.5 + 13.5 + 9) /3 = 9

Wow after doing all that I realized that all you had to do was 27/3 since there's 3 numbers.

6 0
3 years ago
A teacher gives a test to a large group of students. The results are closely approximated by a normal curve. Teh mean is 73, wit
zavuch27 [327]

Answer:

The bottom for an A is 75. Round to the nearest whole number as needed.

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Let X the random variable that represent the scores on this case, and for this case we know the distribution for X is given by:

X \sim N(\mu=73,\sigma=7)  

And let \bar X represent the sample mean, the distribution for the sample mean is given by:

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

2) The bottom for an A is _____. Round to the nearest whole number as needed.

And we want the top 5.5% of the scores, so we need a value a such that:

P(X>a)=0.055 or P(X

We need on the right tail of the distribution a value a that gives to us 94.5% of the area below and 5.5% of the area above. Both conditions are equivalent.

Let's use the condition P(X, the best way to solve this problem is using the z score with the following formula:

z=\frac{x-\mu}{\sigma}

So we need a value from the normal standard distribution that accumulates 0.945 of the area on the left and 0.055 on the right. This value on this case is 1.598 and we can founded with the following code in excel:

"=NORM.INV(0.945,0,1)"

If we apply the z score formula to our case we have this:

P(X

So then based on the equalities we have this:

\frac{a-73}{7}=1.598

And if we solve for a we got:

a=(7*1.598) +73=84.186

So then we need a score of 84.186 rounded to the nearest whole number 75 or higher in order to get an A

8 0
3 years ago
Drag each tile to the correct box.
Natasha_Volkova [10]

Answer:

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

Step-by-step explanation:

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

the average rate of change is equal to

\frac{f(b)-f(a)}{b-a}

step 1

Find the average rate of change of function h(x) over interval [3,5]

Looking at the third picture (table)

f(a)=h(3)=4  

f(b)=h(5)=16

a=3

b=5

Substitute

\frac{16-4}{5-3}=6

step 2

Find the average rate of change of function f(x) over interval [3,6]

Looking at the graph

f(a)=f(3)=10  

f(b)=f(6)=35

a=3

b=6

Substitute

\frac{35-10}{6-3}=8.33

step 3

Find the average rate of change of function g(x) over interval [2,3]

we have

g(x)=\frac{1}{5}(4)^x

f(a)=g(2)=\frac{1}{5}(4)^2=\frac{16}{5}  

f(b)=g(3)=\frac{1}{5}(4)^3=\frac{64}{5}

a=2

b=3

Substitute

\frac{\frac{64}{5}-\frac{16}{5}}{3-2}=9.6

therefore

In order from least to greatest according to their average rates of change over those intervals

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

7 0
3 years ago
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