Answer:
C) horizontal compression and reflection across the y-axis
Step-by-step explanation:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached image below, to find more information about the graph
The original equation is:
f(x) = 2x
The new equation is:
f(-5x) = 2(-5x)
f(-5x) = -10*x
The answer is
C) horizontal compression and reflection across the y-axis
Answer:
Is there a picture for this?
Step-by-step explanation:
Answer:
0.818
Step-by-step explanation:
Since the shipment has a ton of aspirin tablets, we can assume that we pick 13 of them <em>with</em> <em>reposition, </em>because the probability shoudn't change dramatically from the probability of picking without reposition if we do so.
We call D the amount of defective tablets. If we assume that we pick the tablets with reposition, then we obtain that D is a random variable of Binomial distribution with parameters 13 and 0.6 (the probability of picking a defective tablet).
We want D to be at most one. To calculate the probability of that event we add up the probability of D being equal to 0 and the probability of D being equal to one. Since D is binomial, we have
We conclude that

Hence, the shipment will be accepted with probability 0.818
<em>I hope this helps you!</em>
The <em>correct answer</em> is:
He paid the correct amount.
Explanation:
First we find the subtotal of Manny's items:
32.65+3(14.89)+39.99 = 32.65+44.67+39.99 = 117.31
Next, we calculate the discount. If he gets 10% off, this means he pays 100%-10% = 90% of the total. 90% = 90/100 = 0.9:
0.9(117.31) = 105.579
Next we calculate the tax. Since tax is 8%, this means he pays 100% of his subtotal after discount plus the 8% tax; 100%+8% = 108%; 108% = 108/100 = 1.08:
1.08(105.579) = 114.02532 ≈ 114.03
Since this is what he paid, he paid the correct amount.
Answer:
B=5
Step-by-step explanation:
a2+b2=c2
12squared+b2=13squared
144+b2=169 Subtract by 144 on both sides
b2=25 Find square root of 25
b=5