2x − y = −4 → 10x − 5y = −20
3x + 5y = 59 → 3x + 5y = 59
13x = 39..... this is derived from adding the two equations on the right.
13x = 39 can be used in place of 3x + 5y = 59 in the initial system and will yield the same result.
The test statistic (Z) is 2.5767, and the p-value of the test is 0.009975. The null hypothesis suggests that the smoking rate among students has not changed, while the alternative indicates otherwise. The z-statistic for the sampled proportion is computed, yielding z ≈ 2.5767. As we investigate whether the smoking percentage has shifted over the preceding five years, the two-tailed p-value is found to be 0.009975. This result is significant at a 99% confidence level, demonstrating substantial evidence that the percentage of smoking students has changed.
Answer:
The gluten content expressed in micrograms per milliliter is 13 µg/mL.
Step-by-step explanation:
Take into account the details given.
The gluten content of the product is specified as 
.
We now need to convert the gluten content to micrograms per milliliter.
For conversion from mg to micrograms, refer to the following facts:
1 mg equals 1000 micrograms.
1 L corresponds to 1000 milliliters.
Next, replace 1 mg = 1000 micrograms and 1 L = 1000 milliliters into the ratio provided above.
Consequently, the gluten ratio in micrograms per milliliter is 13 µg/mL.
Answer:
When point M (h, k) is rotated 180° around the origin O, its new position becomes M' (-h, -k). The signs of the coordinates are inverted.
In the graph provided, point H' is located at (-3,-2). Its corresponding pre-image, point H, will have coordinates that are the opposite signs of point H'.
Thus, coordinates of point H will be (3,2).
Step-by-step explanation:
Answer:
Step-by-step explanation:
Consider the two lines TRW and SRV intersecting at point R, as illustrated in the diagram below and:
