The <em><u>correct answer</u></em> is:
90° clockwise
Explanation:
Comparing the image points to the pre-image points, we can see that in every ordered pair, x and y have been switched and x has been negated. Algebraically, this means (x, y)→(y, -x).
This is the same mapping that a 90° clockwise rotation performs, so that is our answer.
It would take about 40 seconds for the temperature to reach 70°C and 44 second to reach 74°C.
<h3>
Linear equation</h3>
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the temperature of the metal bar after x seconds, hence:
Since the metal bar has an initial temperature of 30°C, hence:
b = 30, also m = 1°C (increase), The equation becomes:
y = 1(x) + 30 = x + 30
To reach 70°C:
70 = x + 30
x = 40 seconds
To reach 74°C:
74 = x + 30
x = 44 seconds
It would take about 40 seconds for the temperature to reach 70°C and 44 second to reach 74°C.
Find out more on Linear equation at: brainly.com/question/14323743
Answer:
I believe it's the 10 orange marbles.
Step-by-step explanation:
Their is a 45% chance that the orange marbles will be picked.
So, you add all them up (10 + 5 + 5 + 2)=22
10/22= 0.45%
Hope my answer has helped you!
Answer:
True
Step-by-step explanation:
Considering the above definition of Pooled Variance, the correct answer is TRUE.
This is because Pooled variance is used to determine the reasonable estimates of variance, where several repeated tests are expected at each value.
This helps to provide greater precision estimates of variance.
Answer:
30% probability a randomly selected household has no Internet access given the household owns corporate stock
Step-by-step explanation:
I am going to say that we have two events.
Event A: Owning corporate stock. So P(A) = 0.54.
Event B: Having no internet access. So P(B) = 0.3.
Since they are independent events, we can apply the conditional probability formula, which is:
In which
P(B|A) is the probabilitty of event B happening given that A happened. We want to find this.
is the probability of both events happening.
Since they are independent
So
30% probability a randomly selected household has no Internet access given the household owns corporate stock
