How many tens are there in 342

Find the coordinates of the center of the following circle. (x + 3)2 + (y - 6)2 = 24

irga5000 [103]

<span>the equation of a circle with the center at (h,k0 is given by the equation where the r is obviously the radius of the circle then do (x+3) ^2
(y-6)^2= 24 which shows that the center is = to (-3,6)
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4 0

2 years ago

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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

G(x)=3x^2-5x-9 find g(x+2)

Anna35 [415]

Answer: 3x^2 + 7x -15
I dunno if u want me to factor it tho

7 0

2 years ago

A pilot flew a jet from City A to City B, a distance of 1700 miles. On the return trip, the average speed was 20% faster than th

ArbitrLikvidat [17]

The answer is about 650 mi/h

8 0

2 years ago

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2. A computer shop charges P20.00 per hour (or a fraction of an hour) for the first

Misha Larkins [42]

Answer:

(a) For 40 minutes the charge is P20.00

(b) For 3 hours the charge is P30.00

(c) For 150 minutes the charge is P30.00

Step-by-step explanation:

The given parameters are;

The amount the computer shop charges for the first two hours = P20.00

The amount the computer shop charges for a fraction of an hour = P20.00

The amount the computer shop charges for each extra hour = P10.00

Therefore, the amount the computer shop will charge for each time, is given as follows;

(a) For 40 minutes, we have;

The duration of 40 minutes is less than two hours, therefore, the amount the computer shop will charge = P20.00

(b) For a duration of 3 hours, the amount the computer shop will charge is given by the following relation

The amount charged for the first two hours = P20.00

The amount charged for the next extra hour to make 3 hours = P10.00

The total amount charged for the 3 hours = P20.00 + P10.00 = P30.00

(c) For a duration of 150 minutes, we have;

150 minutes = 2 hours 30 minutes

Therefore, the amount charged will be equivalent to the amount charged for 3 hours or P20.00 + P10.00 = P30.00.

4 0

2 years ago