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dexar [7]
2 years ago
15

A six-sided number cube is “weighted” so that the numbers do not all have the same probability of landing up. The probability mo

del is shown. Outcome 1 2 3 4 5 6 Probability 1 /12 2/ 12 /2 12 /2 /12 2 12 3 12 If the number cube is tossed once, what is P(number greater than 3)?
A. 1 /2

B. 7 /12

C. 3/4

D. 5 /12

Mathematics
1 answer:
Anastasy [175]2 years ago
3 0

Answer:

P(number greater than 3) = \frac{7}{12}

Step-by-step explanation:

The  Probability of  getting a number greater than 3  means the possibility of getting 4  or 5 or 6

That is

P(number greater than 3) =  P(getting 4)  +  P(getting 5) + P(getting 6)

On substituting the values from the table ,

we get

P(number greater than 3)  = \frac{2}{12} +  \frac{2}{12} + \frac{3}{12}

P(number greater than 3) = \frac{7}{12}

Thus if the number cube is tossed once, P(number greater than 3) is  \frac{7}{12}

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What is the graph of the inequality 3x+2y>-5
Doss [256]

Answer:

The graph with solution is shown below.

Step-by-step explanation:

We need to find the x-intercept and y-intercept for given equation.

For  x-intercept , substitute y=0

Considering inequality sign as equality and simplifying,

3x+2y=-5\\3x+0=-5\\x=-\frac{5}{3} , point is (-\frac{5}{3} ,0)

Similarly,

For y-intercept , substitute x=0

We get,

3x+2y=-5\\0+2y=-5\\y=-5/2 , point is (0,-\frac{5}{2})

We locate this two points on the graph now and join them.

The joining line will be dotted as the inequality has just 'greater than' symbol. The region above the dotted line is the solution to graph.

4 0
2 years ago
Given that EF is a diameter of circle D, which of the following arcs must be a major arc?
Rainbow [258]

Answer:

Arc ECG is the major arc

Step-by-step explanation:

Arc ECG is made by an angle which is greater than 180°.

All the other arcs listed are made by angles which are 180° or less than.

The greater the angle measure the greater the arc length.

8 0
2 years ago
The average yield of the standard variety off soybeans per acre on a farm in a region is 48.8 bushels per acre, with a standard
I am Lyosha [343]

Answer:

z=\frac{53.4-48.8}{\frac{12}{\sqrt{36}}}=2.3  

p_v =P(Z>2.3)=1-P(Z  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is not significantly higher than 48.8 at 1% of signficance.  

Step-by-step explanation:

1) Data given and notation  

\bar X=53.4 represent the sample mean

\sigma=12 represent the population standard deviation assumed

n=36 sample size  

\mu_o =48.8 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 true mean is higher than 48.8, the system of hypothesis would be:  

Null hypothesis:\mu \leq 48  

Alternative hypothesis:\mu > 48  

Since we assume that 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{53.4-48.8}{\frac{12}{\sqrt{36}}}=2.3  

4)P-value  

Since is a right tailed test the p value would be:  

p_v =P(Z>2.3)=1-P(Z  

5) Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is not significantly higher than 48.8 at 1% of signficance.  

3 0
3 years ago
Lian needs to solve the quadratic equation: x^2 - 4x - 2 = 0. Which statement about how Lian should solve this equation is true?
Ulleksa [173]

Answer:

x = 4.45 or x = - 4.45

Step-by-step explanation:

Here are the steps:

Substitute the values,

4+\sqrt{-4^2-4(1*-2)} ÷ 2 × 1

x = 2 ± √6

x = 4.45 or x = - 4.45

<em>good luck, i hope this helps :)</em>

5 0
3 years ago
Read 2 more answers
Solve by elimination: -5/7-11/7 x=-y, 2y=7+5x
Veronika [31]

Answer:

x= -3

y= -4

Step-by-step explanation:

If 11/17 and x goes together then this is what I got.  Oh plug them in in case its wrong.  Good Luck

7 0
2 years ago
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