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galina1969 [7]
3 years ago
5

a sixth-grade class has 12 boys and 24 girls. Write two more statements comparing the number of boys in the class to the number

of girls
Mathematics
1 answer:
adelina 88 [10]3 years ago
5 0
The number of boys is half the amount of the number of girls.

the number of girls in the class is double the amount of the boys.

hope this helps you
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a box contains 4 yellow, 5 green and 3 blue balls. find the probability of obtaining a yellow ball in a single random draw.
Alex

Notice that the box has a total os 4 + 5 + 3 = 12 balls, since there are 4 that are yellow, then, the probability to randomly obtaining a yellow ball in a single draw is:

P(Yellow)=\frac{\text{ number of yellow balls}}{\text{total number of balls}}=\frac{4}{12}=0.33

therefore, the probability is 0.33 = 33%

7 0
2 years ago
Given: p: 7x+1=8 q: 3x+4=7 p->q write the inverse in if-then form
Lady_Fox [76]
X= 1 .........................

3 0
3 years ago
In 2008, the average household debt service ratio for homeowners was 13.2. The household debt service ratio is the ratio of debt
ankoles [38]

Answer:

t=\frac{13.88-13.2}{\frac{3.14}{\sqrt{44}}}=1.436    

df=n-1=44-1=43  

p_v =P(t_{(43)}>1.436)=0.079  

We see that the p value i higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 13.2 *the value of 2008 ).

Step-by-step explanation:

Information given

\bar X=13.88 represent the sample mean

s=3.14 represent the sample standard deviation

n=44 sample size  

\mu_o =13.2 represent the value that we want to test

\alpha=0.05 represent the significance level

t would represent the statistic (variable of interest)  

p_v represent the p value for the test

Hypothesis to test

We want to conduct a hypothesis in order to check if the true mean has increased from 2008 , and the system of hypothesi are:  

Null hypothesis:\mu \leq 13.2  

Alternative hypothesis:\mu > 13.2  

The statistic for this case is:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Calculating the statistic

Replacing the info given we got:

t=\frac{13.88-13.2}{\frac{3.14}{\sqrt{44}}}=1.436    

P-value

The degrees of freedom are:

df=n-1=44-1=43  

Since is a right tailed test the p value is:  

p_v =P(t_{(43)}>1.436)=0.079  

Decision

We see that the p value i higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 13.2 *the value of 2008 ).

8 0
4 years ago
Perimeter/area (triangles)
Rzqust [24]

Answer:

12 ft²

50 ft²

Step-by-step explanation:

∆ABD = ∆CBD

Perimeter of ∆ABD = 12 ft²

Perimeter of triangle ∆CBD

If ∆ABD = ∆CBD

Then, Perimeter of ∆CBD = 12 ft²

∆ABC = ∆CDA

Area of ∆ABC = 25 ft²

Then the area of rectangle ABCD = Area of ∆ABC + Area of ∆CDA

= 25 ft² + 25 ft²

= 50 ft²

6 0
3 years ago
What is a good algebra calculator that is free to use
GarryVolchara [31]
I always use Algebra Mathaway or Math Papa
8 0
3 years ago
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