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Helen [10]
3 years ago
6

In a horse race, the odds in favor of the first horse winning in an 8-horse race are 2 to 5. The odds against the second horse w

inning are 7 to 3. What is the probability that one of these horses will win
Mathematics
1 answer:
Nataly_w [17]3 years ago
4 0

The probability that the first horse wins is 2/7. The probability that the second horse wins is 3/10. Since the events that the first horse wins and the second horse wins are shared exclusive, the probability that either the first horse or the second horse will win is :

2/7 + 3/10= 41/70

Hope this is correct.

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Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value u
Alenkasestr [34]

Answer:

The  value is  1.75 \  and  \   -1.75

Step-by-step explanation:

From the question we are told that

     The null hypothesis is  H_1 :  \mu \ne 3.24

     The level of significance is  \alpha = 0.08

From the z table  the critical value of  \alpha considering the two tails of the normal  curve( This is because this a two tailed test ) is

       z= \pm  1.75

Hence the critical value is  

       1.75 \  and  \   -1.75

         

5 0
3 years ago
Find the indicated probability.
natka813 [3]

Answer:

C) 0.179

Step-by-step explanation:

Since the trials are independent, this is a binomial distribution:

<u>Recall:</u>

  • Binomial Distribution --> P(k)={n\choose k}p^kq^{n-k}
  • P(k) denotes the probability of k successes in n independent trials
  • p^k denotes the probability of success on each of k trials
  • q^{n-k} denotes the probability of failure on the remaining n-k trials
  • {n\choose k}=\frac{n!}{(n-k)!k!} denotes all possible ways to choose k things out of n things

<u>Given:</u>

  • n=10
  • k=4
  • p^k=0.53^4
  • q^{n-k}=(1-0.53)^{10-4}=0.47^6
  • {n\choose k}={10\choose 4}=\frac{10!}{(10-4)!4!}=210

<u>Calculate:</u>

  • P(4)=(210)(0.53^4)(0.47^6)=0.1786117069\approx0.179

Therefore, the probability that the archer will get exactly 4 bull's-eyes with 10 arrows in any order is 0.179

7 0
2 years ago
58 points. Please answer this question ASAP!
miv72 [106K]
Yes it'll tessellate because if you notice the squares are only on the flat side of the hexagon and the triangles are on the corners
6 0
3 years ago
Read 2 more answers
3<br> Solve for x.<br> 9(x + 1) = 25 + x<br> Ο x=2<br> x=3<br> 0 x=4<br> 0 0 0 0<br> Ο<br> 0 x=5
muminat

Answer:

x= 2

Step-by-step explanation:

so expand the left side of the equation

9x+9= 25+x

and then group like terms( subtract 9 from both sides and also do same with x.

9x-x= 25-9

8x= 16

divide by 8 on both sides.

x=2

7 0
1 year ago
A party host is making identical party bags for guests using 44 bottles of bubbles, 89 stickers, and 55 pencils. What is the gre
Umnica [9.8K]

Answer: 11 party bags with 1 sticker leftover

Each bag contains 4 bubbles, 8 stickers, and 5 pencils.

<u>Step-by-step explanation:</u>

Find the GCF of 44 (bubbles), 89 (stickers), and 55 (pencils)

44: 2 x 2 x <u>11</u>

89: prime so choose 88 with 1 leftover

88: 2 x 2 x 2 x <u>11</u>

55: 5 x <u>11</u>

GCF = 11

Disregard the GCF to see how many of that item should go in each bag.

Bubbles: 2 x 2

Stickers: 2 x 2 x 2

Pencils: 5



7 0
3 years ago
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