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Elena-2011 [213]
3 years ago
14

A farmer sells eggs in containers holding a dozen eggs. If he has 2178 eggs, how many containers will be filled completely? How

many eggs will be left over?
Mathematics
1 answer:
BARSIC [14]3 years ago
3 0

Answer:

~181 containers filled completely, 6 eggs left over

Step-by-step explanation:

2178 ÷ 12 (a dozen, the number of eggs per container) = 181.5 containers

181 × 12 = 2,172 eggs

2,178 eggs - 2,172 = 6 eggs left over

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In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed sinc
coldgirl [10]

Answer:

Note: The full question is attached as picture below

a) Hо : p = 0.71

Ha : p ≠ 0.71

<em>p </em>= x / n

<em>p </em>= 91/110

<em>p </em>= 0.83.

1 - Pо = 1 - 0.71 = 0.29.

b) Test statistic = z

= <em>p </em>- Pо / [√Pо * (1 - Pо ) / n]

= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]

= 0.12 / 0.043265

= 2.77360453

Test statistic = 2.77

c) P-value

P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028

P-value = 0.0056

∝ = 0.01

P-value < ∝

Reject the null hypothesis.  There is sufficient evidence to support the researchers claim at the 1% significance level.

6 0
3 years ago
Find the altitude of a cylinder with with a radius of 9 and a surface area of approximately 791.68 units2.
Vika [28.1K]

In this question , it is given that we have a cylinder with with a radius of 9 and a surface area of approximately 791.68 units square.

The formula of surface area of cylinder is

A= 2 \pi r^2 + 2 \pi r h

Substituting the values of A and r, we will get

791.68 = 2* \pi * 9^2  + 2 * \pi * 9*h&#10;\\&#10;791.68 = 162 \pi + 18 \pi h&#10;\\&#10;791.68 -162 \pi = 18 \pi h&#10;\\&#10;h = \frac{791.68 -162 \pi}{18 \pi}&#10;\\&#10;h =5 units

So the height of the cylinder is 5 units .


4 0
3 years ago
What is the surface area of a triangular prism,
andriy [413]

Answer:

A=132

Step-by-step explanation:

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=3·10+4·10+5·10+1

2·﹣34+2·(3·4)2+2·(3·5)2﹣44+2·(4·5)2﹣54=132

8 0
3 years ago
Stephen is using a map to plan a hike. The map is based on a scale of 1:40,000, in cm. If the route is 10 cm on the map, how man
kvasek [131]
1/40,000 = h/10
40,000h = 10
h = 10/40,000
h = 1/4,000
5 0
3 years ago
The city planning committee is composed of 12 women and l4 menWhat fraction of the committee is composed of men?
Mazyrski [523]

to solve you must dive 14 by 12 then simplify to the nearsest tenth.


3 0
3 years ago
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