The answer for the graph would be C. While x is less than or equal to 0, there is the graph of -4x. While x is greater than x, there is the graph of -5 (horizontal line). Furthermore, the closed dot at the end of the -4x represents the less than or EQUAL TO. The dot at the end of the -5 is open because it is only true when x > 0.
The range (y-values where the graph exists) is [-5]∪[0, infinity)
Answer:
(-9) + (-2) = -11
Step-by-step explanation:
The first arrow on the number line starts from 0, moves downwards 9 units from 0.
We would write this as -9.
Also, the next arrow starts moves from -9, 2 units downwards.
We would write this as -2
The addition equation would be:
(-9) + (-2) = -11
Answer:
128 , 512, 2048
Step-by-step explanation:
Answer:
Height h = 9 cm
Step-by-step explanation:
Given:
Surface area of cuboid = 102 cm²
Length l = 2 cm
Breadth b = 3 cm
Find:
Height h
Computation:
Surface area of cuboid = 2[lb + bh + hl]
102 = 2[(2)(3) + (3)(h) + (h)(2)]
51 = 6 + 3h + 2h
45 = 5h
Height h = 9 cm
Answer:
We conclude that the Pennsylvania school district have an IQ higher than the average of 101.5
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 101.5
Sample mean, 
= 106.4
Sample size, n = 30
Alpha, α = 0.05
Population standard deviation, σ = 15
First, we design the null and the alternate hypothesis
We use one-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, 
Since,
We reject the null hypothesis and accept the alternate hypothesis.
Thus, we conclude that the Pennsylvania school district have an IQ higher than the average of 101.5
