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Law Incorporation [45]
3 years ago
9

You spin the spinner and flip a coin. Find the probability of the compound event. The probability of spinning a prime number and

not flipping heads.

Mathematics
2 answers:
Keith_Richards [23]3 years ago
8 0

Answer:

The probability is:

3/10

Step-by-step explanation:

The numbers in the spinners are given to be:

{1,2,3,4,5}

Total number of outcomes are: 5

On spinning the spinner, the outcomes which are prime are:

{2,3,5}

Hence, the probability that a prime number is obtained is:

3/5

Also, the probability that a head is not obtained i.e. a tail is obtained is:

1/2

Hence, the compound probability of spinning a prime number and not flipping head is:

=\dfrac{3}{5}\times \dfrac{1}{2}\\\\\\=\dfrac{3}{10}

Hence, the compound probability is:

3/10

elixir [45]3 years ago
3 0
The probability of spinning a prime number and not flipping heads will be given as follows:
P(Prime)*P(Tails)
P(Prime)=3/5
P(Tails)=1/2
Thus
P(Prime) and P(Tails)
=3/5×1/2
=3/10
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A book that you want is 15$. You have a coupon for 5% off. How much will you pay?
Rzqust [24]

Answer:

$14.25

Step-by-step explanation:

15×5% = .75

15-.75 = 14.25

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2 years ago
HELP!!
Naily [24]
24 cm bc 25 squared is 625 and 7 squared is 49. 625-49=576. Now the square root of 576 is 24 and boom your answer
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The thickness of metal wires used in the manufacture of silicon wafers is assumed to be normallydistributed with meanμ. To monit
yanalaym [24]

Answer:

(a) Null Hypothesis, H_0 : \mu = 10

(b) Alternate Hypothesis, H_A : \mu\neq 10

(c) One-sample t test statistics distribution :  T.S. = \frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

(d) The value of the test statistic is 1.054.

(e) The p-value = 0.1493

(f) We conclude that the mean equals the target value of 10 which means that the output can be considered acceptable as it doesn't differs from the target value of 10.

Step-by-step explanation:

We are given that the thickness of metal wires used in the manufacture of silicon wafers is assumed to be normally distributed with mean μ. To monitor the production process, the thickness of 40 wires is taken.

The output is considered unacceptable if the mean differs from the target value of 10. The 40 measurements yield a sample mean of 10.2 and sample standard deviation of 1.2.

<u><em>Let </em></u>\mu<u><em> = mean thickness of metal wires used in the manufacture of silicon wafers.</em></u>

(a) Null Hypothesis, H_0 : \mu = 10   {means that the mean equals the target value of 10}

(b) Alternate Hypothesis, H_A : \mu\neq 10   {means that the mean differs from the target value of 10}

(c) The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                     T.S.  = \frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \mu = sample mean = 10.2

            s = sample standard deviation = 1.2

            n = sample of yields = 40

(d) So, <u><em>test statistics</em></u>  =  \frac{10.2-10}{\frac{1.2}{\sqrt{40} } }  ~ t_3_9     

                               =  1.054

The value of the test statistic is 1.054.

(e) <u>Now, P-value of the test statistics is given by;</u>

        P-value = P(t_3_9 > 1.054) = 0.1493

<em>Now at 0.05 significance level, the t table gives critical values between -2.0225 and 2.0225 at 39 degree of freedom for two-tailed test. Since our test statistics lies within the critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.</em>

(e) Therefore, we conclude that the mean equals the target value of 10 which means that the output can be considered acceptable as it doesn't differs from the target value of 10.

7 0
3 years ago
What is the value of <img src="https://tex.z-dn.net/?f=%280.3%29%5E%7B4%7D" id="TexFormula1" title="(0.3)^{4}" alt="(0.3)^{4}" a
meriva

Answer:

Step-by-step explanation:

(0.3)^4(3/10)^4 = 3^4 /10^4 = 81/10000 = 0.00081

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barxatty [35]
The hat costed 32 dollars because 44 divided by 2 is 22 and 38-22 is 16 times two is 32
5 0
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