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Katarina [22]
3 years ago
14

The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find th

e total cost of a CD player with a selling price of $110.
A. FX) 1.05x; $115.50
B. f(x) = 0.05x; $5.50
C. FX) 5 + x;$111.05
D. f(x) = x - 5; $108.95
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
8 0

Answer:

f(x) = .05x; $5.50

Step-by-step explanation:

f(x) = .05x

f(110) = .05(110) = $5.50

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Find the area, in square feet, of a triangle whose base is 42⁄3 feet and whose altitude is 84⁄7 feet. A. 135⁄21 B. 20 C. 40 D. 2
CaHeK987 [17]

Answer:

Option B. 20\ ft^{2}

Step-by-step explanation:

we know that

The area of a triangle is equal to

A=\frac{1}{2}bh

we have

b=4\frac{2}{3}\ ft

h=8\frac{4}{7}\ ft

Convert mixed numbers to an improper fractions

b=4\frac{2}{3}\ ft=\frac{4*3+2}{3}=\frac{14}{3}\ ft

h=8\frac{4}{7}\ ft=\frac{8*7+4}{7}=\frac{60}{7}\ ft

substitute the values

A=\frac{1}{2}(\frac{14}{3})(\frac{60}{7})\\ \\A=\frac{14*60}{2*3*7}\\ \\A=\frac{840}{42} \\ \\A=20\ ft^{2}

5 0
3 years ago
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A pharmacy wants to survey its customers to find out which brand of toothpaste they prefer. Which survey methods are likely to b
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C- Often times, if someone is using a coupon, they just want the lowest price and don't care what toothpaste is considered "the Best."
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3 years ago
The Scottsdale fire department aims to respond to fire calls in 4 minutes or less, on average. Response times are normally distr
IgorC [24]
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the population mean.

As per given , we have

H_0:\mu \leq4\\\\ H_a: \mu >4

Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.

Also, population standard deviation is given \sigma=1 , so we perform one-tailed z-test.

Test statistic : z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

, where \mu = Population mean

\sigma = Population standard deviation

n= sample size

\overline{x} = Sample mean

For n= 18 , \overline{x}=4.50 , \sigma=1 , \mu =4, we have

z=\dfrac{4.5-4}{\dfrac{1}{\sqrt{18}}}\approx2.12

P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12)  [∵ P(Z>z)=1-P(Z≤z)]\

=1- 0.0340=0.9660

Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.

[We reject null hypothesis if p-value is larger than the significance level . ]

Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .

3 0
3 years ago
(07.05 HC)
lianna [129]

Answer:

c

Step-by-step explanation:

2×8=16

not 10 that is why c is correct

8 0
3 years ago
5+7k&gt;=-30 and -4k +4&gt;20​
Slav-nsk [51]

Answer:

\large\boxed{-5\leq k

Step-by-step explanation:

5+7k\geq-30\ \wedge\ -4k+4>20\\\\5+7k\geq-30\qquad\text{subtract 5 from both sides}\\7k\geq-35\qquad\text{divide both sides by 7}\\\boxed{k\geq-5}\\\\-4k+4>20\qquad\text{subtract 4 from both sides}\\-4k>16\qquad\text{change the signs}\\4k

7 0
3 years ago
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