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Vitek1552 [10]
2 years ago
15

On Monday, 400 students went on a trip to the zoo. All 9

Mathematics
1 answer:
Marat540 [252]2 years ago
3 0

Answer:

44 students per bus

Step-by-step explanation:

400-4= 396.

396/9=44

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An accelerated life test on a large number of type-D alkaline batteries revealed that the mean life for a particular use before
zheka24 [161]

Answer:

68.2% of the batteries failed between 17.8 and 20.2 hours.

95.44% of the batteries failed between 16.6 and 21.4 hours.

99.97% of the batteries failed between 15.4 and 22.6 hours.

Step-by-step explanation:

The 68-95-99.7 states that, for a normally distributed sample:

68.26% of the measures are within 1 standard deviation of the sample.

95.44% of the measures are within 2 standard deviations of the sample.

99.97% of the measures are within 3 standard deviations of the sample.

In this problem, we have that:

Mean of 19 hours, standard deviation of 1.2 hours.

About 68.26% of the batteries failed between what two values?

This is within 1 standard deviation of the mean. So 68.2% of the batteries failed between 17.8 and 20.2 hours.

About 95.44% of the batteries failed between what two values?

This is within 2 standard deviations of the mean. So 95.44% of the batteries failed between 16.6 and 21.4 hours.

About 99.97% of the batteries failed between what two values?

This is within 3 standard deviations of the mean. So 99.97% of the batteries failed between 15.4 and 22.6 hours.

5 0
3 years ago
Read 2 more answers
Use the given information to write an equation and solve the problem.<br> (28-31 in the picture)
tia_tia [17]

Answer:

28. 120 degrees

29. 30 degrees

30. 56 degrees & 124 degrees

31. 72 degrees, 108 degrees, and 18 degrees

Step-by-step explanation:

We assign variable x for the answer we are looking for (28-29).

28.

Supplement means x + y = 180 degrees. We also know x = 2y. Substitution gives us 3y = 180 degrees, so y = 60 degrees and x = 120 degrees.

29.

Complement means x + y = 90 degrees. We are given 2x = y. Substitution brings us 3x = 90 degrees, x = 30 degrees.

30.

Supplement means x + y = 180 degrees. We are told that y = 2x + 12, so we substitute. This gives 3x + 12 = 180 degrees, x = 56 degrees. Substituting that back into the equation for y, we get 124 degrees.

31.

Supplement means x + y = 180 degrees. Complement means x + z = 90 degrees.  Using our given info, we know y = 6z. We can substitute that in to get x + 6z = 180. Subtracting our second and third equations, we get 5z = 90, z = 18 degrees.  Therefore, x = 72 degrees, y = 108 degrees.

3 0
2 years ago
Read 2 more answers
A regular tetrahedron is a special triangular pyramid with four congruent faces that are equilateral triangles. A net of a regul
WINSTONCH [101]

Answer:

the tetrahedron has two bases

Step-by-step explanation:

a tetrahedron has only one bases which is a triangle

so this is not true

hope this helps

5 0
3 years ago
92 = - ( 5n + 4 ) - 7n
Tanya [424]
N = -8

a a a a a a a a a a a a a a a a a a a a it’s right trust
6 0
1 year ago
Please help me!! Also if you can show the steps, I’d appreciate it. Thank you very much
natita [175]
-3x=2x+19
-19 -19
-3x-19=2x
+3x +3x
-19=5x
/5 /5
x=19/5


3 0
3 years ago
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