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gizmo_the_mogwai [7]
3 years ago
11

Jason remembers nine digits of a ten digit phone number. He remembers that the last digit is an even number. If he guesses that

last digit, what is the probability that he dials the correct number?
Mathematics
1 answer:
gulaghasi [49]3 years ago
7 0
He already knows 9 so that's out of the way. Now we have to figure out the last digit. What could it be? 0,1,2,3,4,5,6,7,8,9, or 0. The number of possibilities is the denominator and the number of times he tries is the numerator.
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What's the perimeter of 45mm and 27mm?
valkas [14]
45+45+27+27mm=??

when u solve you will get the answer





6 0
3 years ago
Let x be a random variable representing dividend yield of Australian bank stocks. We may assume that x has a normal distribution
kotegsom [21]

Answer:

a) 0.025 level of significance

The calculated t - value t = 2.88 > 3.58 at 0.025 level of significance

Therefore null hypothesis is rejected

The data indicate that the dividend yield of all Australian bank stocks is higher than 7.9%

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Let 'x' has a normal distribution

Given sample size 'n' =11

Mean of the sample (x⁻)  = 9.89% = 0.0989

Standard deviation of the sample (s) = 2.3% = 0.023

Mean of the Population ' μ' = 7.9% = 0.079

<u><em>Step(ii):-</em></u>

<u><em>Null hypothesis:H₀:</em></u>' μ'  = 0.079

<u><em>Alternative Hypothesis</em></u> :μ'  > 0.079

Test statistic  

         t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }

        t = \frac{0.0989-0.079}{\frac{0.023}{\sqrt{11} } }

       t =  2.8840

Degrees of freedom

ν = n-1 = 11-1 =10

<em>Level of significance </em>

t_{\frac{\alpha }{2} } = t_{\frac{0.05}{2} } = t_{0.025}

t_{0.025} , 10 = 3.5814

<u><em>Step(iii):-</em></u>

<em>The calculated t - value t = 2.88 > 3.58 at 0.025 level of significance</em>

<em>Therefore null hypothesis is rejected</em>

<em>The data indicate that the dividend yield of all Australian bank stocks is higher than 7.9%</em>

 

                                 

7 0
3 years ago
Create an equivalent system of equations using the sum of the system and the first equation.
True [87]

Answer:

D

Step-by-step explanation:

x+4y=8

4x+y=2

add

5x+5y=10

so system is

x+4y=8

5x+5y=10

6 0
3 years ago
What even is this i don't even know
mixas84 [53]
The second one.


Hope this helps!!
5 0
3 years ago
Describe the shape of the graph
wlad13 [49]

Answer:

Pyramidal

Step-by-step explanation:

4 0
3 years ago
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