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Tasya [4]
3 years ago
10

Please help me with this question image attached

Mathematics
1 answer:
Sveta_85 [38]3 years ago
7 0

Answer: 60°


Step-by-step explanation: use exterior angle property,

therefore, y+70°=130°

                        y=130°-70°

                        y=60°


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a population has a mean of 25 median of 24 and mode of 26 the standard deviation is 5 the value for the
Arada [10]

Complete Question

A population has a mean of 25, a median of 24, and a mode of 26. The standard deviation is 5. The value of the 16th percentile is _______. The range for the middle 3 standard deviation is _______.

Answer:

The  value  of the 16th percentile  is  x = 20

The range for the middle 3 standard deviation is  10 \to 40

Step-by-step explanation:

From the question we are told that

     The  mean is  \mu  =  25

     The  median is  m  =  24

     The  mode is  n =  26

     The  standard deviation is  \sigma  =  5

Generally the 16th percentile is mathematically represented as

  P(x)= P(\frac{X  -  \mu }{ \sigma }   \le \frac{x- 25 }{5} ) = 0.16[/teGenerally  [tex]\frac{X -  \mu}{\sigma }  =  Z(The  \  standardized \  value \ of  \ X  )

So

       P(x) =  P(Z \le \frac{ x -  25}{5} ) =  0.16

Now from the normal distribution table  the z-score of  0.16 is  

      z =  -1

       P(x) =  P(Z \le \frac{ x -  25}{5} ) =  P(Z \le -1 )

=>  \frac{x- 25}{5}  =  -1

=>    x- 25  =  -5

=>      x =  25-5

=>       x = 20

The range for the middle 3 standard deviation is mathematically represented

        \mu  -  3\sigma \to \mu + 3\sigma

        25 -  3(5 ) \to 25 +  3(5 )

         10 \to 40

 

   

3 0
3 years ago
Two trucks leave a warehouse at the same time. One travels due west at an average speed of 58 miles per hour, and the other trav
Aleksandr [31]

Answer:

17.33 hours or 17 hours 20 minutes.

Step-by-step explanation:

The distance travelled per hour for truck "A" = 58 miles.

The distance travelled per hour for truck "B" = 46 miles.

Now, it is obvious that the first truck (Truck A) was travelling with a fairly greater speed than the second truck (Truck B) so it is safe to say that the distance covered by truck A in a given number of hours will certainly be greater than the distance that is covered by truck B over the same period. In this situation, let us use "y" to represent that number of hours that it will take for the distance between the two trucks to now become 208 miles assuming the two trucks (A and B) maintained their respective average speed.

This means that, for that number of hours(y), the distance covered by the first truck (truck A) will be 58 × y = 58ymiles and the distance that the second truck would cover over the same period will be 46 × y = 46ymiles.

This ultimately implies that the distance between them or the difference between the distances that the trucks have covered after this unknown number of hours is 208miles. Since they are travelling due west and due east respectively and the first truck is travelling at a greater speed, then:

58y miles - 46y miles = 208 miles.

12y = 208

y = 208/12

y = 17.33 hours.

Since 1 hour = 60 minutes, then 0.33 hours is:

1 hour --------- 60 mins

0.33 hour -------- ? mins

= 0.33/1 × 60/1 = 20 minutes

If the drivers of both trucks maintained their average speeds, then the time it will take for them to become 208 miles apart is 17 hours 20 minutes or 17.33 hours

5 0
3 years ago
Express the vector negative 3 Bold i plus 6 Bold j plus 2 Bold k as a product of its length and direction.
ANTONII [103]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
Eh I need help idk when to to what's the circumstance of the earth??
larisa86 [58]
The earth's circumference is: 24,901miles
3 0
3 years ago
Find the circumference of the following circle. Use 3.14 for π. Round to the nearest hundredth
LuckyWell [14K]

Formula for the circumference of a circle:

C = 2πr     (C = circumference      π(pi) = 3.14.....    r = radius)

You know:

r = 9 cm      

π = 3.14       So substitute/plug it into the equation

C = 2πr

C = 2(3.14)(9)

C = 56.52 cm      

5 0
3 years ago
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