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Mashcka [7]
3 years ago
8

Four friends shared 1/2 of one carton of orange juice and 1/4 of another carton of apple juice. What fraction of each carton of

juice did each friend get?
Mathematics
1 answer:
Veronika [31]3 years ago
6 0

Answer: 1/8 of the carton of orange juice and 1/16 of the carton of apple juice.

Step-by-step explanation:

If the fraction of the carton of orange juice that was shared by the four friends Is ½

Then, by assuming each friend had equal portion, the fraction of carton received by each friend =½ ÷ 4

= ⅛

Each friend had 1/8 of the orange juice

In the same vein, if the fracfion of the carton of apple juice shared by the 4 friends = ¼

Then the fraction that got to each friend = ¼÷4 = 1/16

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The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of peopl
Sholpan [36]

Answer:

1.) .399

2.) {.369, .429}

Step-by-step explanation:

The proportion of criminals in this sample that were caught was \frac{286}{716}=.39944, .399 rounded to three decimal places.

To construct the confidence interval, you need three pieces of information: the statistic, the critical value, and the standard error.

The statistic is given in the first part of the problem with the proportion of criminals in the sample that were caught was .399.

The critical value, we are told, is the z equivalent of 90%, or 1.645. You can find this value using a z table or with the inverse normal function on a calculator.

Finally, we need the standard error. The formula for standard error for a proportion with a single population is \sqrt{\frac{(proportion)(1-proportion)}{sample size} }so in this situation it would be \sqrt{\frac{(.399)(.601)}{716} }=.0183.

The confidence interval would be .399±.018×1.645 or .399±.030 {.369, .429}

5 0
3 years ago
I honestly need help on this...I tried to work it out but I just don’t know where to start...
Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

1) The sum of angles on a straight line is 180 degrees. Therefore

75 + a + 70 = 180

145 + a = 180

a = 180 - 145 = 35 degrees

2) Sum of the angles in a triangle is 180 degrees. Therefore,

a + b + 95 = 180

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130 + b = 180

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3) c + 95 = 180 degrees (sum of angles on a straight line).

c = 180 - 95 = 85 degrees

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70 + 85 + d = 180

155 + d = 180

d = 180 - 155 = 25 degrees

5) e = 75 degrees

6) f + e + 75 = 180 degrees

f + 75 + 75 = 180

f + 150 = 180

f = 180 - 150 = 30 degrees

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Shalnov [3]

Answer:

D because it’s D give me brainless

Step-by-step explanation:

8 0
2 years ago
I need help? anyone know the answer?
zloy xaker [14]

Answer:

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8 0
3 years ago
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