Answer:
x=8, y=4
Look up the 30-60-90 triangle rule
Answer:
4 is the largest number that is common to both 32 and 44. Factoring it out looks like this: 4(8 + 11) = 4(8 + 11). That's weird to me but all textbooks begin that process just that same way.
Step-by-step explanation:
Answer:
Yes. The male and female consumers differ in the amounts they spend.
Step-by-step explanation:
We can express the null and alternative hypothesis as:

It is assumed a significance level of 0.05.
The standard deviation of the difference of means is calculated as:

The test statistic is

The degrees of freedom are:

The P-value for t=10.11 is P=0, so it is smaller than the significance level. The null hypothesis is rejected.
We can conclude that male and female consumers differ in the amounts they spend.
If the shape on the red image is scaled to the shape on the blue image, the scale factor is 0.2777.
Explanation:
- The original shape's base in the red image is measured. The base of the red image is measured to be 9 units. Now we measure the same side of the blue image. The base of the blue image is measured to be 2.5 units. So after scaling, the length of the painting will be 2.5 units.
- To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling. In this case, it is the base of both images. So The scale factor =
=
= 0.2777. - So the red image is dilated by a scale factor of 0.2777 to produce the blue image.
Answer:
923.04 $
Step-by-step explanation:
1 hour: 25.64 $
36 hour: x
x=36×25.64
x=923.04$