Answer:
Yes. The girls to boys ration is the same
Step-by-step explanation:
For skating
Girls to boys ratio = 12:14 = 6:7
For birthday party
Girls to boys ratio = 18:21 = 6:7
Answer:
Option c
Step-by-step explanation:
First multiply matrix A by -7.
Then multiply the matrix B by -6.
When multiplying a matrix by a number x you must multiply each element of the matrix by x.
<em><u>Then we perform operation -7A
</u></em>
<u><em>Now we perform operation -6B
</em></u>
Now we add the resulting matrices

Answer: A. H0: Mean= 5 and Ha: Mean is not equal to 5.
Step-by-step explanation:
Definitions:
- Null hypothesis
is a statement describing population parameters according to the objective of the study. It takes "≤,≥,=" signs.
- Alternative hypothesis
is a statement opposite to the null hypothesis elaborating population parameters according to the objective of the study. It takes ">, <, ≠" signs.
Given: The diameter of a spindle in a small motor is supposed to be 5.8 millimeters.
If the spindle is either too small or too large, the motor will not work properly. so, Mean diameter ≠ 5.8 to work correctly.
i.e. 
So, 
The required null and alternative hypotheses:
H0: Mean= 5 and Ha: Mean is not equal to 5.
Answer:

Step-by-step explanation:
we know that
The formula to calculate the area for a trapezoid is equal to

where
a and b are the parallel bases
h is the height of trapezoid
A is the area
<em>Solve for a</em>
That means ----> isolate the variable a
Multiply by 2 both sides to remove the fraction in the right side

Divide by h both sides

Subtract b both sides

Rewrite

Answer:
m∠QRS = 49°
Step-by-step explanation:
Complementary angles are angles that add up to 90°. So m∠ABC + m∠QRS = 90°. When you simplify you get 41° + m∠QRS = 90°. So m∠QRS = 49°.