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kykrilka [37]
1 year ago
6

The mode of the data set is 21. What number is missing? 21, 17, _25, 23, 13

Mathematics
2 answers:
balandron [24]1 year ago
8 0

Answer:

21

Step-by-step explanation:

If 21 is the mode, then it must appear most of the time, here. So, in this case, to be the mode, 21 should appear more than once, and thus, the complete data set will be, 21, 17, 21, 25, 23, 13. ⇒ Missing number = 21

Lilit [14]1 year ago
4 0

Answer:

The missing number here is 21

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Sebastion has filled a paper grocery bag with food
Studentka2010 [4]

Answer:

1428 cubic inches

Step-by-step explanation:

The volume of a rectangular prism is V = l * w * h, where V represent volume, l is the length, w is the width, and h is the height.

You are given that the length is 12 inches, the width is 7 inches, and the height is 17 inches.

Solve.

V = 12 * 7 * 17

V= 1428 in³

7 0
3 years ago
A pan of warm water (46∘ Celsius) was put in a refrigerator. After 15 minutes, the water's temperature was 27∘ C; 15 minutes aft
Cloud [144]

Answer:

The refrigerator was at around 13 ∘C

Step-by-step explanation:

Newton's Law of Cooling:

The rate of change of a body temperature  (amount of heat loss/time of loss) is directly proportional to the difference between its own temperature and the surroundings.

\frac{T(t2)-T(t1)}{t2-t1} = -h (T(t2) - Tenv)

T ⇒ temperature

t ⇒ time

Tenv ⇒refrigerator temperature

\frac{T(t2)-T(t1)}{t2-t1} ⇒ rate of change of he temperature

-h ⇒ constant of proportionality (negative because the temperature is decreasing inside the refrigerator)

We have 3 points:

time (minutes) - Temperature (∘ C)

0 (when the pan was put in the refrigerator) - 46

15 (after 15 minutes) - 27

30 (15 minutes after the first 15 minutes) - 19

\frac{27 - 46}{15 - 0} = -h (27 - Tenv)

\frac{19 - 27}{15 - 0} = -h (19 - Tenv)

Now we have a system of two equations and two variables

\frac{-19}{15} = -h (27 - Tenv)\\ \frac{19}{15} = h (27 - Tenv)\\ \frac{19}{15(27 - Tenv)} = h

\frac{19 - 27}{15 - 0} = -h (19 - Tenv)\\\frac{-8}{15} = -h (19 - Tenv)\\\frac{8}{15} = h (19 - Tenv)\\\frac{8}{15} = \frac{19}{15(27 - Tenv)} (19 - Tenv)\\8(27 - Tenv) = 19 (19 - Tenv)\\216 - 8 Tenv = 361 - 19 Tenv\\19 Tenv - 8 Tenv = 361 - 216\\11 Tenv = 145 \\Tenv = 145/ 11\\Tenv = 13. 18

The refrigerator was at around 13 ∘C

6 0
2 years ago
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IrinaK [193]

Answer:

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Step-by-step explanation:

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The temperature at 2 a.m. was -10°C.
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Answer:

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Step-by-step explanation:

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Jeff left 4/5 of the pumpkin pie in the refrigerator on Saturday he ate 1/2 if what was left of the pie what fraction of the ent
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