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Natasha_Volkova [10]
3 years ago
10

Rewrite 5 − 6 using the additive inverse and display the new expression on a number line.

Mathematics
1 answer:
Serggg [28]3 years ago
4 0
Additive inverses are numbers that when added to another number equal 0.  The additive inverse of 5 is -5 and the additive inverse of 6 is -6.  Therefore, the new expression is -5-(-6) or -5+6.  
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In parallelogram ABCD, m∠BAC = 40.62°and m∠BCA = 30.96°. What is m∠BAD?
KatRina [158]
The answer is letter a.  m∠BAD = 108.42<span>° 

The solution is as follows:
If </span>m∠BAC = 40.62° and m∠BCA = 30.96°, then
m∠CBA = 180° -  m∠BCA - <span>m∠BAC
</span>m∠CBA = <span>108.42°
</span>
Since m∠BAD = m∠CBA  due to the parallelogram's property, 
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4 0
4 years ago
Identify two methods in the Constitution to limit power of the national government?
Dmitry_Shevchenko [17]
First, the principle of Check and Balance applies. The Check and Balance system is devised to have all the branches of the government from overpowering one another. This is done through having independent powers in the government. 

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6 0
3 years ago
Read 2 more answers
A machine in the student lounge dispenses coffee. The average cup of coffee is supposed to contain 7.0 ounces. A random sample o
Elenna [48]

Answer:

t=\frac{7.4-7}{\frac{0.7}{\sqrt{7}}}=1.512    

The degrees of freedom are

df=n-1=7-1=6  

And the p value for this case is:

p_v =2*P(t_{(6)}>1.512)=0.181  

The p value is a higher value and using a significance levels of 5% or 10% we see that the p value is higher than the significance level and then we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true mean is different from 7 ounces.

Step-by-step explanation:

Information provided

\bar X=7.4 represent the sample mean

s=0.7 represent the sample standard deviation

n=7 sample size  

\mu_o 7 represent the value to verify

t would represent the statistic

p_v represent the p value

System of hypothesis

We want to verify if the average amount of coffee per cup is different from 7 ounces, the system of hypothesis would be:  

Null hypothesis:\mu = 7  

Alternative hypothesis:\mu \neq 7  

The statistic is given by:

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

Replacing the info given we got:

t=\frac{7.4-7}{\frac{0.7}{\sqrt{7}}}=1.512    

The degrees of freedom are

df=n-1=7-1=6  

And the p value for this case is:

p_v =2*P(t_{(6)}>1.512)=0.181  

The p value is a higher value and using a significance levels of 5% or 10% we see that the p value is higher than the significance level and then we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true mean is different from 7 ounces.

7 0
3 years ago
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NikAS [45]

The formula is y = mx + b when b = y-intercept and m is the slope.

Slope = Rise/Run So 1/2.

Y-Int. = The y value at which x = 0. Which is -3

The line has the formula:

Y = 1/2x - 3

Hope this helps :)

7 0
3 years ago
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Which expression is equilalant to (x+2)(2x-13)
viva [34]
Here you have: 2x^2-9x-26
3 0
3 years ago
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