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pochemuha
3 years ago
10

A dog is chasing a cat towards a tree. The cat has a 10-yard lead and runs at a speed of 6 yards per second. The dog runs at a s

peed of 8 yards per second. The tree is 30 yards away from the dog’s starting position. Which animal will reach the tree first?
Mathematics
1 answer:
11111nata11111 [884]3 years ago
5 0

Answer:

The dog will reach the tree first.

Step-by-step explanation:

If the tree is 30 yards from the dog's starting position, and the cat is 10 yards ahead of the dog, then the cat is 20 yards away from the tree. The dog runs at 8 yps, and the cat runs at 6yps. The cat would get there in approximately 3 seconds, and the dog would be ahead of the cat by 3 yards within 2 seconds, so the dog would be there before the cat would.

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The greatestcommonfactor of 8, 52
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The GCF is the largest number that both will divide into. Eight is the larger of the two, but 52 is not divisible by 8. The next highest value is 4. 8÷4=2 and 52÷4=13. Therefore, the GCF is 4.
6 0
4 years ago
Please someone help me this is due in 10 minutes
loris [4]

Answer:

m= 2ke/v^2

Step-by-step explanation:

8 0
4 years ago
Suppose that 43% of a town's population have blue eyes, 46% have blonde hair, and 24% have both blue eyes and blonde hair. What
Varvara68 [4.7K]

We need to find the probability of the event:

having blue eyes or blond hair

This event is the union of the events:

A: having blue eyes.

B: having blond hair.

So, we need to find the probability P(A ∪ B). In order to do so, we can use the following formula:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

We know that the probability of the intersection of A and B (having both) is

P(A ∩ B) = 24%

Also:

P(A) = 43%

P(B) = 46%

Then, using those values into the above formula, we find:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

P(A ∪ B) = 43% + 46% - 24%

P(A ∪ B) = (43 + 46 - 24)%

P(A ∪ B) = 65%

3 0
1 year ago
A gym charges a one-time fee of $75 to join,plus membership dues of $25 per month. Which equation represents the total cost,c, o
Ad libitum [116K]

Answer:

the answer is B

Step-by-step explanation:

75 is a one time payment. 25 is the amount that you will pay permonth

5 0
3 years ago
Read 2 more answers
Two different weight loss programs are being compared to determine their effectiveness. Ten men were assigned to each program (t
True [87]

Answer:

WE reject the Null and conclude that one of the drug is more effective than the other.

Step-by-step explanation:

Given :

Diet 1 3.4 10.9 2.8 7.8 0.9 5.2 2.5 10.5 7.1 7.5

Diet 2 11.9 13.1 11.6 6.8 6.8 8.8 12.5 8.6 17.5 10.3

This is a matched pair sample :

The hypothesis :

H0 : μd = 0

H1 : μd ≠ 0

Hence, we intun the difference between the two groups of value :

Difference, d = -8.9,-2.2,-8.8,1,-5.9,-3.6,-10,1.9,-10.4,-2.8

The test statistic :

dbar ÷ (Sd/√n)

dbar = mean of difference = Σd / n = - 49.7 / 10 = - 4.97

Standard deviation of difference, Sd = 4.51

Test statistic :

-4.97 ÷ (4.51/√10)

Test statistic = - 3.485

The sample size, n = 10

df = n - 1 ; 10 - 1 = 9

Critical value (0.10, 9) = 1.833

If Test statistic > |Critical value |

Since 3.486 > 1.833 ; WE reject the Null and conclude that one of the drug is more effective than the other

5 0
3 years ago
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