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marshall27 [118]
3 years ago
11

David uses 1/4 cups of apple juice for every 1/2 cup of carrot juice to make a fruit drink. Enter the number of cups of apple ju

ice david uses for 1 cup of carrot juice.
Mathematics
1 answer:
ivanzaharov [21]3 years ago
7 0

Answer:

1/2 cups of apple juice David used for 1 cup of carrot juice

Step-by-step explanation:

David uses 1/4 cups of apple juice for every 1/2 cup of carrot juice to make a fruit drink.

Two 1/2 cups of carrot juice makes 1 cup of carrot juice

because \frac{1}{2}  + \frac{1}{2} = \frac{2}{2} =1

For each 1/2 cups of carrot juice David used 1/4 cups of apple juice

For 1 cup of carrot juice , two 1/2 cups of carrot juice used

so two 1/4 cups of apple juice should be used for 1 cup of carrot juice

\frac{1}{4}  + \frac{1}{4} = \frac{2}{4} =\frac{1}{2}

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A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced.
zzz [600]

Answer:

CI=(66.54,78.46)                                  

Step-by-step explanation:

Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.

To find : A 99% confidence interval for the mean yield when the new catalyst is used ?

Solution :

Let X be the yield of the batches.

We have given, n=10 , \bar{X}=72.5\% , s=5.8%

Since the size of the sample is small.

We will use the student's t statistic to construct a 995 confidence interval.

\bar X\pm t_{n-1,\frac{\alpha}{2}}\frac{s}{\sqrt n}

From the t-table with 9 degree of freedom for \frac{\alpha}{2}=0.005

t_{n-1,\frac{\alpha}{2}}=t_{9,0.005}

t_{n-1,\frac{\alpha}{2}}=3.250

The 99% confidence interval is given by,

CI=72.5 \pm 3.25\frac{5.8}{\sqrt{10}}

CI=72.5 \pm 5.96

CI=(72.5+5.96),(72.5-5.96)

CI=(66.54,78.46)

8 0
3 years ago
Find the area to this figure
12345 [234]

I think the answer is 62 cm2

7 0
3 years ago
Please help me. Please....
Nadusha1986 [10]

Answer:

20

Step-by-step explanation:

1/2(a+b)=180

1/2(6+12)=18

1/2(18)=180

9/9=180/9

=20

8 0
2 years ago
Helpppppppppppppppppppppppp
motikmotik

Answer:

1A, 2C, 3X, 4A, 5B, 6W, 7X

Step-by-step explanation:

Im not sure about these answers, can you have the same letter for a different number?

5 0
3 years ago
Graph quadrilateral ABCD with vertices A(2,-3), B(3,5), C(6,6) and D(5,-3) and its image after the translation (x,y)→(x−5,y−2)
maria [59]

The graph can be drawn by the placing the points and after translation points becomes A'(-3, -5), B'(-2, 3), C'(1, 4), and D'(0, -5)

<h3>What is quadrilateral?</h3>

It is defined as the four-sided polygon in geometry having four edges and four corners.

We have:

Quadrilateral ABCD with vertices A(2,-3), B(3,5), C(6,6) and D(5,-3)

We can graph it on the coordinate plane as shown in the picture.

After applying the translation (x, y)→(x−5, y−2), the points becomes:

A'(-3, -5)

B'(-2, 3)

C'(1, 4)

D'(0, -5)

Similarly, we can graph it on the coordinate plane (refer attached picture)

Thus, the graph can be drawn by the placing the points and after translation points becomes A'(-3, -5), B'(-2, 3), C'(1, 4), and D'(0, -5)

Learn more about the quadrilateral here:

brainly.com/question/6321910

#SPJ1

6 0
2 years ago
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