Answer:
Option C: 41
Step-by-step explanation:
<ABD+<CBD=90
<ABD=8x+1
<CBD=6x+5
(8x+1)+(6x+5)=90
Combine like terms
(8x+6x)+(1+5)=90
14x+6=90
14x=90-6
14x=84
divide both sides by 14
x=6
Now we plug that value into <DBC = 6x+5
6(6)+5=
36+5
41
For this case we must factor the following polynomial:

We can take common factor x:

To factor the expression within the parenthesis, we must find two numbers that when multiplied give 49 and when added together, 14 are obtained. These are: 7 and 7.

Thus, the expression is factored as:

Answer:

Answer:
Order is 6
Step-by-step explanation:
The population of Portland Oregon has recently grown to more than 500,000.
The order of magnitude for the number of people in Portland means the power of 10. It means that we need to write 500,000 in form of 10 to the power. So,

It contains 6 zeroes. It means,

So, the order of magnitude for the number of people in Portland is 6.
Answer:
The p value for this case can be calculated with this probability:
Since the p value is higher than significance level we don't have enough evidence to conclude that the true proportion is significantly less than 0.1
Step-by-step explanation:
Information given
n=310 represent th sample selected
X=28 represent the subjects wrong
estimated proportion of subjects wrong
is the value to verify
represent the significance level
t would represent the statistic
represent the p value
System of hypothesis
We want to test the claim that less than 10 percent of the test results are wrong ,and the hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info we got:
The p value for this case can be calculated with this probability:
Since the p value is higher than significance level we don't have enough evidence to conclude that the true proportion is significantly less than 0.1