Danika and Karen bought a pizza that was cut into 8 slices. If Danika ate 3/4 of the pizza, how many slices were left for Karen?

Mathematics

2 answers:

Ber [7]4 years ago

8 0

2 slices left for karen

SVETLANKA909090 [29]4 years ago

7 0

Since 4/4 is 8, to solve for 1/4, you have to divide 8 by 4, which is 2. 1/4 = 2, so 2/4 = 4, and 3/4 = 6. Danika ate 6 slices of pizza because she ate 3/4 of the pizza. Since there is only 1/4 left, Karen only has 2 slices of pizza left. Another way you could do it is you could subtract 6 from 8 to get the remaining amount, and you would still get 2 slices left for Karen.

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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 43 o

xeze [42]

Answer:

a) 95% of the widget weights lie between 29 and 57 ounces.

b) What percentage of the widget weights lie between 12 and 57 ounces? about 97.5%

c) What percentage of the widget weights lie above 30? about 97.5%

Step-by-step explanation:

The empirical rule for a mean of 43 and a standard deviation of 7 is shown below.

a) 29 represents two standard deviations below the mean, and 57 represents two standard deviations above the mean, so, 95% of the widget weights lie between 29 and 57 ounces.

b) 22 represents three standard deviations below the mean, and the percentage of the widget weights below 22 is only 0.15%. We can say that the percentage of widget weights below 12 is about 0. Equivalently we can say that the percentage of widget weights between 12 an 43 is about 50% and the percentage of widget weights between 43 and 57 is 47.5%. Therefore, the percentage of the widget weights that lie between 12 and 57 ounces is about 97.5%

c) The percentage of widget weights that lie above 29 is 47.5% + 50% = 97.5%. We can consider that the percentage of the widget weights that lie above 30 is about 97.5%