Answer:
53
Step-by-step explanation:
At first,
- 7 = 9 + x
By subtracting 9 from both sides, we get
-7-9=9+x-9
-16=x
Now,
By substituting the value of x in -3x + 5 , we get
-3x + 5
-3×(-16)+5
48+5
53
Answer:
B and C
Step-by-step explanation:
The correct option are
B) a cross section of rectangular pyramid perpendicular to the base
C) a cross section of a rectangular prism that is parallel to it's base
Answer:
15,267
Step-by-step explanation:
The population is multiplied by 1+3.5% = 1.035 each year. After 7 years, it will be multiplied by 1.035^7:
12,000×1.035^7 = 15,267
The population will be 15,267 after 7 years.
Answer:
We need to conduct a hypothesis in order to check if the true mean is different from 45(alternative hypothesis), and then the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we don't know the sample size we can't calculate the statistic and the only thing that we can do is create the sytem of hypothesis.
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
System of hypothesis
We need to conduct a hypothesis in order to check if the true mean is different from 45(alternative hypothesis), and then the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we don't know the sample size we can't calculate the statistic and the only thing that we can do is create the sytem of hypothesis.
Answer:
∠ A = 48°
Step-by-step explanation:
Supplementary angles are those angles that measure up to 180 degrees.
∠A and ∠B are supplementary angles. If m ∠ A = ( 4 x − 16 ) ∘ and m ∠ B = ( 8 x + 4 ) ∘,then find the measure of ∠ A
Step 1
∠A + ∠B = 180°
(4x−16)° + (8x+4)° = 180
4x - 16 + 8x + 4 = 180
12x -12 = 180
12x = 180 + 12
12x = 192
x = 192/12
x = 16
Step 2
To find the measure of ∠ A
∠ A = 4x - 16
= 4 × 16 - 16
= 64 - 16
= 48°
Therefore,
∠ A = 48°
