Answer:
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
The corresponding vertical sides are y and 2
The corresponding horizontal lines are x and 1
so
The proportion is equal to
Answer: C (0,1)
Step-by-step explanation:
The y intercept of a function is when it's x coordinate is zero, so input 0 into the function and solve for f(x)
f(0) = (1/2)^x
f(0) = (1/2)^0
f(0) = 1 Any number raised to zero is 1 so the y intercept has to be 1.
Answer:
Step-by-step explanation:
The number of samples is large(greater than or equal to 30). According to the central limit theorem, as the sample size increases, the distribution tends towards normal. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 22199
σ = 5300
n = 30
the probability that a senior owes a mean of more than $20,200 is expressed as
P(x > 20200)
Where x is a random variable representing the average credit card debt for college seniors.
For n = 30,
z = (20200 - 22199)/(5300/√30) =
- 2.07
Looking at the normal distribution table, the probability corresponding to the z score is 0.0197
P(x > 20200) = 0.0197
For question 1 option C is the correct answer and for question 2 option A is the correct answer.
We need to find which transformation from the graph of a function f(x) describes the graph of 10f(x).
Here the transformation that describes the graph of g(x) is a vertical dilation of scale factor k = 10 of f(x).
We can start by defining the general vertical dilation.
For a given function f(x), a vertical dilation stretches or contracts the graph vertically, depending on the scale factor k.
And it is written as:
g(x) = k*f(x).
Then here we have:
g(x) = 10*f(x)
It is easy to see that this is a vertical dilation of scale factor k = 10. Therefore, option C is the correct answer.
We need to check from the given options which information is sufficient to prove that quadrilateral ABCD is a parallelogram.
If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
Therefore, option A is the correct answer.
To learn more about quadrilaterals visit:
brainly.com/question/13805601.
#SPJ1
<h3>
Answer: Choice A</h3>
The average speed the mouse crawls is 1.5 feet every second.
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Explanation:
1 minute = 60 seconds
The mouse crawls 90 ft in 60 seconds.
This forms the ratio
90 ft : 60 sec
Divide both parts of this ratio by 60 to get
90/60 ft : 60/60 sec
1.5 ft : 1 sec
telling us that the mouse's speed is 1.5 ft per second, which explains why choice A is the answer.