Answer:
∠ 5 = 49°, ∠ 6 = 131°
Step-by-step explanation:
∠ 5 and 49° are corresponding angles and are congruent, then
∠ 5 = 49°
∠ 5 and ∠ 6 are adjacent angles and are supplementary, sum to 180° , that is
∠ 6 + ∠ 5 = 180°
∠ 6 + 49° = 180° ( subtract 49° from both sides )
∠ 6 = 131°
7.81 then 7.14 then 7.081 then 7.002
Answer:
Many solutions
Step-by-step explanation:
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
Complete question :
A population of 30 deer are introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain 600 deer. The population would grow by 30 percent per year
how many after one year
how many after two years
Answer:
39 deers
51 deers
Step-by-step explanation:
The question can be expressed using the compounding rate formula:
A = P(1+r)^t
A = final population ; P = initial population ; rate, r = 30% = 0.3 ; t = time
After 1 year, t = 1
A = 30(1 + 0.3)^1
A = 30(1.3)^1
A = 39 deers
B.)
After 1 year, t = 2
A = 30(1 + 0.3)^2
A = 30(1.3)^2
A = 50.7
A = 51 deers approximately
