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2 years ago

Find the sales tax for three CDs, if each CD is $14.29 and the sales tax is 7.25%.

Mathematics

2 answers:

den301095 [7]2 years ago

8 0

The total sales tax is $1.10

Pie2 years ago

8 0

45.98 is the answer to you problem

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What is the range of the function f(x) = 3x2 + 6x – 8?

yawa3891 [41]

F(x) is a quadratic equation with the x-side squared and a is positive which means that the graph of the function is a parabola facing up. The range of f(x) is given by {y|y ≥ k}, where k is the y-coordinate of the vertex.
$f(x)=3 x^{2} +6x-8$ , written in vertex form is
$y=3 (x+1)^{2} -11$ , where (h, k) = (-1, -11)
Therefore, range ={y|y ≥ -11}

5 0

2 years ago

Read 2 more answers

The following observations are on stopping distance (ft) of a particular truck at 20 mph under specified experi- mental conditio

zzz [600]

Answer:

see explaination

Step-by-step explanation:

Data : 32.1 , 30.6 , 31.4 , 30.4 , 31.0 , 31.9

Mean X-bar = 31.23

SD = 0.689

Null Hypothesis : Xbar = mu

Alternate Hypothesis : Xbar > mu

z = (Xbar - mu) / (SD/sqrt(n))

= (31.23 - 30 ) /(0.689/sqrt(6))

= 4.372

P-value = ~0

Since P-vale < 0.01 , we will reject null hypothesis.

The data suggest that true average stopping ditance exceeds the maximum.

i) SD = 0.65

mu = 31

z = (Xbar - mu) / (SD/sqrt(n))

= (31.23 - 31) /(0.65/sqrt(6))

= 0.867

P-value = 0.3859 Answer

ii) SD = 0.65

mu = 32

z = (Xbar - mu) / (SD/sqrt(n))

= (31.23 - 32) /(0.65/sqrt(6))

= -2.9

P-value = 0.0037 Answer

i) SD = 0.8

mu = 31

z = (Xbar - mu) / (SD/sqrt(n))

= (31.23 - 31) /(0.8/sqrt(6))

= 0.704

P-value = 0.4814 Answer

ii) SD = 0.8

mu = 32

z = (Xbar - mu) / (SD/sqrt(n))

= (31.23 - 32) /(0.8/sqrt(6))

= -2.357

P-value = 0.0184 Answer

The probabilities obtained in part c are comparatively higher than that of part b.

i) For alpha =0.01

z = (Xbar - mu) / (SD/sqrt(n))

=> -2.32 = (31.23 - 31) /(0.65/sqrt(n))

=> (0.65/sqrt(n)) = (31.23 - 31)/-2.32

=> sqrt(n) = (0.65*(-2.32)) / (31.23 - 31)

=> n = 43 Answer

ii) For beta =0.10

z = (Xbar - mu) / (SD/sqrt(n))

=> -1.28 = (31.23 - 31) /(0.65/sqrt(n))

=> (0.65/sqrt(n)) = (31.23 - 31)/-1.28

=> sqrt(n) = (0.65*(-1.28)) / (31.23 - 31)

=> n = 13 Answer

4 0

2 years ago

A circular pond has a radius of 10 meters there is an average of 2 frogs per square meter in the pond approximately how many fro

Y_Kistochka [10]

First, we need to find the area of the pond.
The formula for the area of a circle is: 3.14r^2
So, first of all, the radius is 10, and we need to square that, so 10 x 10 = 100.
There. Now, with the squared radius, we need to multiply that by pi.
100 x 3.14 = 314.
The area of the pond is 314 square meters.
Secondly, we need to find the number of frogs. If there are 2 frogs in each square meter, then 2 x 314 = 628.
There are 628 frogs in the pond.

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2 years ago

Yukiko has 10,000 cubic centimeters of sand in a bag.She turns the pyramid shown upside down and pours the sand into it .Wjat fr

stepan [7]

She can fill 5/12 of the pyramid.

The volume of a pyramid is given by the formula
V = 1/3lwh. Using our information, we have:

V = 1/3(40)(30)(60) = 24000 cm³

She has 10,000 cm³ of sand; 10000/24000 = 5/12.

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2 years ago

Cos12sin78+cos78sin12

laila [671]

Answer:

Step-by-step explanation:

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2 years ago