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mr Goodwill [35]
3 years ago
7

A golf ball,thrown upwards ,rises at a speed of V metres per second the ball reaches a maximum height of h metres. h is proporti

onal to the square of v.
when v =20, h=8
work out the maximum height reached by the golf ball when v =35
Mathematics
1 answer:
madreJ [45]3 years ago
4 0

Answer:

24.5m

Step-by-step explanation:

given h is proportional to v² or

h ∝ v²

we can write this in terms of constant k

h = kv²

given h = 8 when v = 20

h = kv²

8 = k 20²

8 = 400k

k = 8/400 = 0.02

hence our equation becomes

h = 0.02v²

when v = 35

h = 0.02 (35²)

h = 24.5 meters

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Step-by-step explanation:

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Find the equivalent fraction of 2/3 having denominator 6 and 6 and numerator 10.​
4vir4ik [10]

Step-by-step explanation:

having denominator 6,

X/6= 2/3

X= 4

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having numerator 10,

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Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
Large samples of women and men are​ obtained, and the hemoglobin level is measured in each subject. Here is the​ 95% confidence
qwelly [4]

Answer:

a) Because the confidence interval  does not include  0​ it appears that there

is  a significant difference between the mean level of hemoglobin in women and the mean level of hemoglobin in men.

b)There is​ 95% confidence that the interval from  −1.76 g/dL<μ1−μ2<−1.62 g/dL actually contains the value of the difference between the two population means μ1−μ2

c)   1.62 < μ1−μ2< 1.76

Step-by-step explanation:

a) What does the confidence interval suggest about equality of the mean hemoglobin level in women and the mean hemoglobin level in​ men?

Given:

95% confidence interval for the difference between the two population​ means:

−1.76g/dL< μ1−μ2 < −1.62g/dL

population 1 =  measures from women

population 2 =  measures from men

Solution:

a)

The given confidence interval has upper and lower bound of 1-62 and -1.76. This confidence interval does not contain 0. This shows that the population means difference is not likely to be 0. Thus the confidence interval implies that the mean hemoglobin level in women and the mean hemoglobin level in​ men is not equal and that the  women are likely to have less hemoglobin than men. This depicts that there is significant difference between mean hemoglobin level in women and the mean hemoglobin level in​ men.

b)  

There is​ 95% confidence that the interval −1.76 g/dL<μ1−μ2<−1.62 g/dL actually contains the value of the difference between the two population means μ1−μ2.

c)

If we interchange men and women then

  • confidence interval range sign will become positive.
  • μ1 becomes the population mean of the hemoglobin level in men
  • μ2 becomes the population mean of the hemoglobin level in women
  • So confidence interval becomes:

                                          1.62 g/dL<μ1−μ2<1.76 g/dL.

4 0
3 years ago
The game of Scrabble has 100 tiles. The diagram shows the number of tiles for each letter and the​ letter's point value. One til
egoroff_w [7]

Answer:

10%

Step-by-step explanation:

In the image attached below, we can see that there are

8 tiles of letter O

2 tiles of letter V

This means that there are 10 total tiles of the letters that you want to get (O and V). Since there are a total of 100 tiles we need to divide this value by 100 to get the probability of getting one of these tiles.

10 / 100 = 0.10 or 10%

Finally, we can see that the probability of selecting a O or a V is 10%

7 0
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