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Nataly [62]
3 years ago
5

A puppy and a kitten are 180 meters apart when they see each other. The puppy can run at a speed of 25 m/sec, while the kitten c

an run at a speed of 20 m/sec.
How soon will the kitten catch the puppy if the kitten starts running after the puppy?
Mathematics
1 answer:
Degger [83]3 years ago
6 0

Answer:

Step-by-step explanation:

180/20=9

9 secs

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The tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds. If 50,000 part
nalin [4]

Answer:

a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?

7933 parts

b) How many would have a tensile strength in excess of 48 pounds?

2739.95 parts

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?

z = (x-μ)/σ

x = 35 μ = 40 , σ = 5

z = 35 - 40/5

= -5/-5

= -1

Determining the Probability value from Z-Table:

P(x<35) = 0.15866

Converting to percentage = 15.866%

We are asked how many will fail to meet this specification

We have 50,000 parts

Hence,

15.866% of 50,000 parts will fail to meet the specification

= 15.866% of 50,000

= 7933 parts

Therefore, 7933 parts will fail to meet the specifications.

b) How many would have a tensile strength in excess of 48 pounds?

z = (x-μ)/σ

x = 48 μ = 40 , σ = 5

z = 48 - 40/5

z = 8/5

z = 1.6

P-value from Z-Table:

P(x<48) = 0.9452

P(x>48) = 1 - P(x<48)

1 - 0.9452

= 0.054799

Converting to percentage

= 5.4799%

Therefore, 5.4799% will have an excess of (or will be greater than) 48 pounds

We are asked, how many would have a tensile strength in excess of 48 pounds?

This would be 5.4799% of 50,000 parts

= 5.4799% × 50,000

= 2739.95

Therefore, 2739.95 parts will have a tensile strength excess of 48 pounds

4 0
3 years ago
A plane cuts a pyramid as shown in the diagram. What is the shape of the cross section?
forsale [732]
The answer is a hexagon 
Hope this helped
5 0
3 years ago
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A basketball has a circumference of 29.5 inches using 3.14 as an approximation for pie what is the basketball volume to the near
Elena L [17]
It is about 434 cubic inches.

4 0
3 years ago
Which compound inequality is represented by the graph?
OLga [1]

<u>Answer-</u>

\boxed{\boxed{x < -2\ or\ x \geq 4}}

<u>Solution-</u>

As we know that, on the number line, if a number is on the right of another number, then the former number is greater than the later number.

As, the number on the right side are 4, 5, ...so on (4 is dotted so it is included)

So the inequality will be x\geq 4

As, the number on the left side are -3, -4, -5, ..... so on (-2 is not dotted so it is excluded)

So the inequality will be x

Then the compound inequality will be, x < -2\ or\ x \geq 4

3 0
3 years ago
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Evaluate the expression.<br> 10.56÷3−1.9=
dmitriy555 [2]
1.62
Pls mark brainliest
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3 years ago
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