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Jobisdone [24]
3 years ago
7

Given a mean of 24.5 and a standard deviation of 1.7 what is the z score of the value 24 rounded to the nearest tenth?

Mathematics
1 answer:
Softa [21]3 years ago
3 0
The correct answer is B) -0.3

Z-scores are found using the formula

z = (X-μ)/σ

For this problem, we have

z = (24-24.5)/1.7 = -0.5/1.7 = -0.3
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Given that ΔPQR is similar to ΔPTS, which statement MUST be true? A) m∠PST = m∠QPR B) m∠TPS = m∠RPQ C) m∠SPT = m∠PTS D) m∠PRQ =
skelet666 [1.2K]

Answer: B) m∠TPS = m∠RPQ


Step-by-step explanation:

Given that ΔPQR is similar to ΔPTS

We know that of two triangles are similar then their corresponding angles are equal in measure and corresponding sides are proportional.

Therefore, If ΔPQR is similar to ΔPTS, then

m∠TPS=m∠RPQ

m∠STP=m∠RQP

m∠PTS=m∠PQR

Therefore, from the given options, only B is the right options, i.e. m∠TPS = m∠RPQ


3 0
4 years ago
Please help!! I really need help with these questions!
kobusy [5.1K]

Answer: It is likely that AC + DC = Back In Black.

Step-by-step explanation:

3 0
3 years ago
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A shaded semicircle is inside a circle
max2010maxim [7]

Answer:

Step-by-step explanation:

6 0
3 years ago
Billy goes on the teacup ride at the local carnival. He is seated 16 inches from the center of his teacup, which is spinning at
Orlov [11]

Answer:

Billy’s angular velocity, is 1508.16 radians per second

Step-by-step explanation:

We have to find angular velocity in radians per second

we have given angular velocity w = 4 revolutions per minute

we have to convert revolutions into radians and minutes into seconds.

so, we use the following conversion:

1 rev = 2* pi radians (where pi = 22/7 or 3.142)

1 min = 60 sec

putting the values in our equation : w = 4 revolutions per minute

=> w= 4 * ( 2* 3.142) *60

=> w= 1508.16 radians per second

hence Billy’s angular velocity, is 1508.16 radians per second

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3 years ago
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A cutting tool fails due to flank wear while machining. It is observed that the tool life at a cutting speed of 160 m/min is 5 m
Ahat [919]

Answer:

The answer is:

30 minutes.

Step-by-step explanation:

We are given the following information:

at 160 m/min, tool life = 5 min.

at 120 m/min, tool life = 17 min.

This means that as the speed reduced from 160 m/min to 120 m/min, the tool life increased from 5 min. to 17 min, hence the difference between the changes are:

speed = 160 - 120 = 40 m/min

tool life = 17 - 5 = 12 min.

Therefore, it can be concluded that a change of speed of 40 m/min, increases the tool life by 12 min.

40 m/min = 12 min

∴ 1 m/min = 12/40 min.

∴ 100 m/min = 12/40 × 100 = 0.3 × 100 =30 min.

8 0
3 years ago
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