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Katarina [22]
3 years ago
13

tamara find the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible co

mbinations when rolling two number cubes. How many times should tamara expect the sum of the two cubes be equal to 5 if she rolls the two number cubes 144 times?
Mathematics
1 answer:
Reil [10]3 years ago
6 0

Answer:

the answer would be 20 :)

Step-by-step explanation:

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A average amount of money on deposit in a savings account is $7500. Suppose a random sample of 49 accounts shows the average in
Valentin [98]

Answer:  

z=-3.79

p_v =2*P(z  

Step-by-step explanation:  

1) Data given and notation  

\bar X=6850 represent the mean average amount of money on deposit in savings account for the sample  

\sigma=1200 represent the population standard deviation for the sample  

n=49 sample size  

\mu_o =7500 represent the value that we want to test

\alpha=0.01 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

2) State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean for the amount of money on deposit in savings account differs from 7500, the system of hypothesis would be:  

Null hypothesis:\mu =7500  

Alternative hypothesis:\mu \neq 7500  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

3) Calculate the statistic  

We can replace in formula (1) the info given like this:  

z=\frac{6850-7500}{\frac{1200}{\sqrt{49}}}=-3.79  

4)P-value  

Since is a two-sided test the p value would be:  

p_v =2*P(z  

5) Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the average amount of money deposit in savings account its significantly different from 7500 tons at 1% of signficance.  

7 0
3 years ago
Solve: (⅓) x – 13 &gt; 14<br> A) x &lt; 81 <br> B) x &gt; 81<br> C) x &gt; 9 <br> D) x &lt; 9
frozen [14]

\dfrac{1}{3}x-13>14\qquad\text{add 13 to both sides}\\\\\dfrac{1}{3}x>27\qquad\text{multiply both sides by 3}\\\\\boxed{x>81}\to\boxed{B)}

4 0
3 years ago
If 2(6 + 3x) + 1 = - 5 + 3(x - 1), what is the value of x?
Stels [109]

Answer: x = -7

Step-by-step explanation:

2(6 + 3x) + 1 = - 5 + 3(x - 1)

(2) (6) + (2) (3x) + 1 = -5 + (3) (x) + (3) (-1)

12 + 6x + 1 = - 5 + 3x + - 1

( 6x ) + ( 12 - 1 ) = ( 3x ) + ( -5 + -3 )

6x + 13 = 3x - 8

6x + 13 - 3x = 3x - 8 - 3x

3x + 13 = -8

3x + 13 - 13 = -8 - 13

3x = -21

3x/3 -21/3

X = -7

5 0
2 years ago
Read 2 more answers
SO<br> Determine the values of<br> a, b, and c for<br> the quadratic equation:<br> 4x2 - 8x = 3
Schach [20]
I believe it’s

a = 4
b = -8
c = -3
6 0
3 years ago
please help me answer these 3 questions correctly . u will get 30 pints if you do and the brainlest. please do not answer if you
Marianna [84]

Answer:

6a) B

6b) C

6c) A

7 0
3 years ago
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