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Ivan
3 years ago
12

A chocolate company selects 1200 random packages to check their weight it finds that 30 packages have an incorrect weight. how m

any packages out of 6000 should the company predict have an incorrect weight.

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
5 0
150 packages

30/1200 = x/6000
6000/1200 = 5
30 x 5 = 150
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g On any day, the probability of rain is 0.3. The occurrence of rain on any day is independent of the occurrence of rain on any
Ksju [112]

Answer:

0.249579

Step-by-step explanation:

P(rain) = 0.3

P(no rain) = 1 - 0.3 = 0.7

The event of rain falling a second time within the next 5 days is possible in these ways

1. Rain on days 1 and 2

2. Rain on days 1 and 3; none on day 2

3. Rain on days 1 and 4; none on days 2 and 3

4. Rain on days 1 and 5; none on days 2, 3 and 4

5. Rain on days 1 and 6; none on day 2, 3, 4 and 5

P(\text{second rain within 5 days}) = 0.3^2+0.3^2\times0.7+0.3^2\times0.7^2+0.3^2\times0.7^3+0.3^2\times0.7^4 = 0.3^2(1+0.7+0.7^2+0.7^3+0.7^4)= 0.09\times2.7731=0.249579

5 0
3 years ago
Identify the two triangle congruence criteria that do NOT guarantee congruence. Explain why they do not guarantee congruence, an
Mashcka [7]

Answer: Hello mate!

there are two congruence criteria that do not guarantee congruence:

AAA ( or 3 angles)

two triangles can have the same 3 angles, but different size, then they are not congruent; an example of this is:

take the triangle rectangle of both cathetus = 1 and hypotenuse = √2, where the angles are 90°, 45° and 45°

and now take the triangle rectangle with both cathetus = 2 and hypotenuse = √8, this triangle also has the angles 90°, 45°, and 45°, so this two triangles succeed the AAA criteria, but are not congruent.

SSA (side-side-angle)

If two triangles satisfy the SSA  criteria and the corresponding angles are acute and the length of the side opposite to the angle is greater than the length of the adjacent side multiplied by the sine of the angle (but less than the length of the adjacent side), then the two triangles are not necessarily congruent.

This is kinda harder to illustrate;  

think on a triangle rectangle where you have the measure of both cathetus and one of the angles different from 90° as the SSA data.

and now think on another triangle that has the same adjacent cathetus and angle, and where the other cathetus is rotated (in a sense where 90° is decreasing) to the point where its tip intercepts the hypotenuse of the first triangle.

Those two triangles meet the SSA criteria but are not congruent.

7 0
3 years ago
A space shuttle orbits Earth at a speed of 21,000 km/hr. How far will it travel in 5 hours?
tresset_1 [31]
<span>21,000*5
since it travels 21,000 per hour and there is five hours. it's just simple substitution.
105,000 is the correct answer.</span>
7 0
3 years ago
Read 2 more answers
Mike wants to save $1,750 in the next 12 months. He plans to save $150 each month for the first 11 months.
podryga [215]

Answer:

$1650

Step-by-step explanation:

Based on the question, we don't need the information that Mike wants to save 1750 in 12 months.

We just need to focus on how he is saving 150 every month, for 11 months.

150*11=1650

He will save $1650 if he saves $150 every month for 11 months.

3 0
3 years ago
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SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

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8 semester books = 8* 389            <u> 3112 </u>

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So for 8 years for example, he would need 4863 every year.

That number is obtained by dividing 38904 / 8

In 6 years he would need

38904/6 = 6484 extra dollars.        

5 0
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