<h3>
Answer: n = -11</h3>
The other choices are false, so choice C is the only solution here.
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Explanation:
Draw a number line. You'll have 0 in the center, with positive values on the right. The positive values increase 1,2,3,4,... as you move from left to right.
The negative values will go in the opposite direction. When going from right to left, we have -1, -2, -3, -4, ...
See the diagram below.
Now plot an open hole at -7 on the number line. The open hole says that we exclude this value from the solution set. Then we shade everything to the left of the open circle. This visually describes all values smaller than -7. Something like -2 is not to the left of -7, meaning -2 < -7 is false. But a value like -10 is to the left of -7, making -10 < -7 true.
With that in mind, the answer is n = -11 since -11 is to the left of -7. Of the values in the answer choices, it's the only thing to the left of -7.
The value n = -7 cannot be the solution because n < -7 would become -7 < -7 which is false.
Answer: Question 1.1: It is 1.5 standard deviations away from the mean.
Our value of 26 is 6 units about the mean of 20. If each standard deviation is 4, we just divide 6 by 4. This gives us the number of standard deviations.
Question 2.2 The correct answer is -0.52
If we are 0.52 standard deviations below the mean, then our z-score is simply -0.52. The definition of a z-score is the number of standard deviations from the mean.
Answer:
8 pizzas can serve 16 guests.
Step-by-step explanation:
So the caterer usually prepares 4 pizzas, but now she prepared twice as many, which means that now there are 4 • 2 = 8 pizzas.
Also, there is an estimation that each guest will eat 1/2 of a pizza.
In order to answer how many guests will 8 pizzas serve, we need to write an equation (pizzas per guest multiplied with number of guests equals the number of pizzas). Let's mark the unknown number of guests with x:
1/2 • x = 8
x = 8 / 1/2
x = 16
So, if each guest eats 1/2 of a pizza, then 8 pizzas will be enough to serve 16 guests.
Answer:
B. 12:240
Step-by-step explanation:
- 9:180
⇒ 1:20
Optiona (A) 5 : 200 it is not multiple of 1:20, Eliminate.
Option (B) 12:240, it is multiple of 1:20 ( x 12) , quality
Option (C) 10:400 , Eliminate
Option (D) 8:560 , Eliminate
Hence, 12:240 is equivalent to 9:180.
