How to convert fractions to have a denominator of 100?

A) Find the coordinates of the points of intersection of the graphs with coordinate axes: b y=−2x+4

vova2212 [387]

Answer:

Step-by-step explanation:

A)

y=−2x+4

y-int:

y=−2*0+4

y=4

x-int:

0=−2x+4

2x=4

x=2

(2,4)

B)

2x+3y=6

y-int:

2*0+3y=6

3y=6

y=2

x-int:

2x+3*0=6

2x=6

x=3

(3,2)

C)

1.2x+2.4y=4.8

y-int:

1.2*0+2.4y=4.8

2.4y=4.8

24y=48

y=2

x-int:

1.2x+2.4*0=4.8

1.2x=4.8

12x=48

x=4

(4,2)

4 0

2 years ago

With a perfectly balanced roulette wheel, in the long run, red numbers should turn up 18 times in 38. To test its wheel, one cas

topjm [15]

Answer:

a) more than 18/38

b) The null says that the percentage of reds in the box is 2842.105. The alternative says that the percentage of reds in the box is -0.933521

c) z= -0.933521 , p≤ z= 17.105%

d) p-value is 17%

Step-by-step explanation:

1. We are counting the number of reds, so we have a box with "1" s for reds and "0"s for others. The question is what proportion of 1's and 0' are in the box.

a) The null hypothesis is that the wheel is balanced, so the box contains 18 "1"s and 20 "0"s. Or you might state this in terms of the proportion of 1's (18/38) and 0's (20/38). The alternative hypothesis if that the wheel favors reds, so the proportion of 1's is more than 18/38.

b) Under the null hyp., we expect 6000*(18/38)= 2842.105 Reds. The SE is sqrt(6000)* SD(Box)= Sqrt(6000)*(1-0)*sqrt((18/38)*(20/38))= 38.67615. We observed2806, which is fewer than we expected. The question is , is it much fewer that we suspect foul play, or it is the usual sort of variation we expect due to chance? The test statistic is z=(obs-expected)/SE =(2806-2842.105)/38.67615= -0.933521.

c) The p-value is the probability of gettinga test statistic as extreme or morer extreme than this, which in this case means seeing a test statistic less than or equal to - 0.933521. The closest value gives a probability of (100-65.79)/2 = 17.105%

d) If we reject H0 and claim the roullette wheel is unfair, then there's a 17.105% chance we are wrong. This is a large probability of making a serious mistake, and it would be reasonable to not reject and conclude that there is insufficient evidence to suspect the wheel is unfair. (we would reject H10 if the p-value were less than 5%. Since it is 17%, we won't reject)

6 0

2 years ago

Interpret the meaning of the point (9, 378).

lions [1.4K]

Answer:

it means the the line falls on 9 on the x-axis

and intersects at 378 on the y-axis

Step-by-step explanation:

hope that helped

7 0

2 years ago

Suppose the probability of an athlete taking a certain illegal steroid is 10%. A test has been developed to detect this type of

Travka [436]

Answer:

93.25% probability that they have taken this steroid

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test

Event B: Taking the steroid.

Suppose the probability of an athlete taking a certain illegal steroid is 10%.

This means that $P(B) = 0.1$

Given that the athlete has taken this steroid, the probability of a positive test result is 0.995.

This means that $P(A|B) = 0.995$

Positive test:

99.5% of 10%(If the athlete has taken).

100-99.2 = 0.8% of 100-10 = 90%(Athlete has not taken)

Then

$P(B) = 0.995*0.1 + 0.008*0.9 = 0.1067$

Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.1*0.995}{0.1067} = 0.9325$

93.25% probability that they have taken this steroid

4 0

2 years ago

The volume of a sphere is 5,000pi m3. What is the surface area of the sphere to the nearest square meter?

tia_tia [17]

Surface area of a sphere = 4πr2
the volume of a sphere= 43πr3
so 5000π=4/3πr3
> r^3 = 5000 x 3 / 4 =>
r^3 = 3750
taking cube root on both sides
r=15.53616
hope it helps

5 0

2 years ago

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How to convert fractions to have a denominator of 100?￼

How to convert fractions to have a denominator of 100?