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SashulF [63]
2 years ago
12

Question within image.

Mathematics
1 answer:
julia-pushkina [17]2 years ago
6 0

1)a parallelogram is a quadrilateral with opposite sides being parallel so the lines AB must equal CD or otherwise it wouldn't be a parallelogram

2)for a quadrilateral to be proven to be a parallelogram the consecutive angles has to be supplementary which means they add up to 180 or for example you could slice the parallelogram in half down the middle you could piece the two consecutive angles together to make 180 degrees

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The dolphins are feed 64 buckets of fish each day. The penguins are feed 1/8 as many buckets of fish as the dolphins. How many b
Sav [38]

Answer:

8

Step-by-step explanation:

You just gotta divide 64 by 8

4 0
3 years ago
A number divided by 5
viva [34]
10 or 25 and a lot more pretty much anything that ends with 0 or 5
6 0
3 years ago
. Micro Office Products has issued 5,000 shares of cumulative preferred stock that will earn dividends at $2.38 per share; it ha
quester [9]
110000 is the total dividends of both preferred stock and common stock
So we need to find the dividend per share common stock

First find the total dividends of preferred stock
5,000×2.38=11,900


Subtract the total dividends of preferred stock for the total dividends to find the total dividends of common stock
110,000−11,900=98,100

Finally divide the total dividends of common stock by the number of common stock to find the dividend per share of common stock
98,100÷12,000=8.175....answer

Hope it helps!
5 0
3 years ago
Some research suggests that police officers are more likely to make an arrest in the presence of bystanders. If mentally disorde
zmey [24]

Answer:

t=\frac{7.03-3.58}{\frac{9.42}{\sqrt{20}}}=1.638    

p_v =P(t_{(19)}>1.638)=0.0589    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can conclude that the true mean is not significantly higher than 3.58 at 5% of signficance.    

Step-by-step explanation:

Data given and notation    

\bar X=7.03 represent the sample mean

s=9.42 represent the sample standard deviation    

n=20 sample size    

\mu_o =3.58 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)    

State the null and alternative hypotheses.    

We need to conduct a hypothesis in order to check if the mean is higher than 3.58 :    

Null hypothesis:\mu \leq 3.58    

Alternative hypothesis:\mu > 3.58    

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:    

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

t-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".    

Calculate the statistic    

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

t=\frac{7.03-3.58}{\frac{9.42}{\sqrt{20}}}=1.638    

P-value    

First we need to calculate the degrees of freedom given by:

df=n-1=20-1=19

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

p_v =P(t_{(19)}>1.638)=0.0589    

Conclusion    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can conclude that the true mean is not significantly higher than 3.58 at 5% of signficance.    

7 0
3 years ago
A person is canoeing on a river. Her overall speed is 3.4 mile(s) per hour up river and 5.6 mile(s) per hour down river. Find th
PIT_PIT [208]

Answer:

a) v_{river} = 1.1\,mph, b) v_{person} =4.5\,mph

Step-by-step explanation:

Overall speeds up river and down river are modelled by following expressions:

Up River

-3.4\,mph = v_{river} - v_{person}

Down River

5.6\,mph=v_{river} + v_{person}

After some algebraic manipulations, speeds are found:

v_{river} = 1.1\,mph

v_{person} =4.5\,mph

5 0
3 years ago
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