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kap26 [50]
2 years ago
9

The probability of Jane wins a game is 7/10. Jane plays a game 50 times. Find the number of times she is expected to win the gam

e.​
Mathematics
1 answer:
viktelen [127]2 years ago
3 0

Answer:

35 times

Step-by-step explanation:

7/10 * 50 = 35

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Persons having Raynaud's syndrome are apt to suffer a sudden impairment of blood circulation in fingers and toes. In an experime
Citrus2011 [14]

Answer:

There is enough evidence to say that the true average heat output of persons with the syndrmoe differs from the true average heat output of non-sufferers.

Step-by-step explanation:

We have to perform a hypothesis test on the difference between means.

The null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a: \mu_1-\mu_2

μ1: mean heat output for subjects with the syndrome.

μ2: mean heat output for non-sufferers.

We will use a significance level of 0.05.

The difference between sample means is:

M_d=\bar x_1-\bar x_2=0.63-2.09=-1.46

The standard error is

s_{M_d}=\sqrt{\sigma_1^2/n_1+\sigma_2^2/n_2}=\sqrt{0.3^2/9+0.5^2/9}=\sqrt{ 0.038 } \\\\ s_{M_d}=0.194

The t-statistic is

t=\dfrac{M_d}{s_{M_d}}=\dfrac{-1.46}{0.194}=-7.52

The degrees of freedom are

df=n_1+n_2-2=9+9-2=16

The critical value for a left tailed test at a significance level of 0.05 and 16 degrees of freedom is t=-1.746.

The t-statistic is below the critical value, so it lies in the rejection region.

The null hypothesis is rejected.

There is enough evidence to say that the true average heat output of persons with the syndrmoe differs from the true average heat output of non-sufferers.

5 0
2 years ago
Polygon ABCD has vertices A(1,3) , B(1,6) , C(4,6) , and D(5,2) .
Bond [772]

Answer:

  • check below for explanation.

explanation:

➢ Given coordinates:

  • A( 1, 3 )
  • B( 1, 6 )
  • C( 4, 6 )
  • D( 5, 2 )

➢ after a dilation with a scale factor of 1/2:

  • A( 1, 3 )  ÷  2    ☛   A'(0.5,1.5)  
  • B(1, 6 )   ÷  2    ☛   B'(0.5, 3)
  • C( 4, 6)  ÷  2    ☛  C'( 2, 3 )
  • D( 5, 2)  ÷  2    ☛  D'( 2.5, 1)

➢ Plot the after dilation coordinates on the graph:

  • check the image below:

5 0
2 years ago
1.How many solutions does the system have?
MaRussiya [10]

Answer:

c. infinitely many solutions

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Rearrange your equation to isolate a:(a+b/c)(d-e)=f
sukhopar [10]
To rearrange the equation given, we need to take note the rules in adding, subtracting, multiplying and dividing terms. We rearrange the equation as follows:

<span>((a+b/c)(d-e)=f) 1/(d-e)

</span>(a+b/c = f/(d-e))c

a+b = fc/(d-e)

a = [fc/(d-e)] - b

Hope this answers the question.

8 0
3 years ago
A car insurance company has determined that 9% of all drivers were involved in a car accident last year. among 14 drivers living
andriy [413]

The probability of getting 3 or more who were involved in a car accident last year is 0.126.

Given 9% of the drivers were involved in a car accident last year.

We have to find the probability of getting 3 or more who were involved in a car accident last year if 14 were selected randomly.

We have to use binomial theorem which is as under:

nC_{r}p^{r} (1-p)^{n-r}

where p is the probability an r is the number of trials.

Probability that 3 or more involved in a car accident last year if 14 are randomly selected=1-[P(X=0)+P(X=1)+P(X=2)]

=1-{14C_{0}0.9^{0} (0.1)^{14} +14C_{1} (0.9)^{1} (0.1)^{13} +14C_{2} (0.9)^{2} (0.1)^{12}}

=1-{1*0.2670+14!/13!*0.9*0.29+14!/2!12!*0.0081*0.2358}

=1-{0.2670+0.3654+0.2358}

=1-0.8682

=0.1318

Among the options given the nearest is 0.126.

Hence the probability that 3 or more are involved in the accident is 0.126.

Learn more about probability at brainly.com/question/24756209

#SPJ4

7 0
1 year ago
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