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Alekssandra [29.7K]
3 years ago
6

In one city, customers must pay 6% on all items purchased. The video game controllers cost $18.50 each. If a customer purchases

2 controllers, how much tax will she pay? A. $1.11 B. $2.22 C. $19.61 D. $39.22
Mathematics
1 answer:
tamaranim1 [39]3 years ago
7 0

Answer: B $2.22

Step-by-step explanation:

2 controllers will cost

= 2 x 18.50 = 37

6% tax = 37 x 0.06 = 2.22

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Let X denote the number of flaws along a 100-m reel of magnetic tape (an integer-valued variable). Suppose Zdenote the number of
Lemur [1.5K]

Answer:

a) P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)

P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)

And we can find this probability like this:

P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728

b) P(X \leq 30)= P(X

And using the z score we got:

P(X

c) P(X

And if we use the continuity correction we got:

P(X

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Continuity correction means that we need to add and subtract 0.5 before standardizing the value specified.

Part a

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(25,5)  

Where \mu=25 and \sigma=5

Part a

For this case we want to find this probability:

P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)

And if we use the z score given by:

z =\frac{x-\mu}{\sigma}

We got this:

P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)

And we can find this probability like this:

P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728

Part b

For this case we want this probability:

P(X \leq 30)

And if we use the continuity correction we got:

P(X \leq 30)= P(X

And using the z score we got:

P(X

Part c

For this case we want this probability:

P(X

And if we use the continuity correction we got:

P(X

3 0
3 years ago
HElp fasttttttttttttttttttttttttt
Eduardwww [97]

9514 1404 393

Answer:

  -0.16

Step-by-step explanation:

The 'a' value can be found by looking at the difference between the y-value of a point 1 unit from the vertex, and the y-value of the vertex.

Here, that is a negative fraction of a unit. If we assume the value is a rational number that can be accurately determined from this graph, then we can find it by looking for a point where the graph crosses a grid intersection. It looks like such grid points are (-7, 0) and (3, 0). The vertex is apparently (-2, 4), so the vertex form of the equation is ...

  y = a(x +2)^2 +4

Using the point (3, 0), we have ...

  0 = a(3 +2)^2 +4 . . . . . fill in the values of x and y

  -4 = 25a . . . . . . . . . . subtract 4; next, divide by 25

  a = -4/25 = -0.16

7 0
2 years ago
Find the 12th term of the arithmetic sequence given a3=116 and a7=180<br>​
SOVA2 [1]

Answer:

Step-by-step explanation:

nth term = a +(n-1)d

a3 = 116 ;   a + 2d = 116 ---------(i)

a7 = 180;   a + 6d = 180 -------(ii)

multiply (ii) by -1. so a will be eliminated

           a + 2d = 116 ---------(i)

(ii)*-1    <u>-a - 6d = -180</u> -------(ii)   { Now add the two equations}

              - 4d = -64

                   d = -64/-4

                  d = 16

Plug in the value of d in equation (i),

a + 2*16 = 116

a + 32 = 116

        a = 116 - 32

        a = 84

12th term = 84 + 11* 16 = 84 + 176 = 260

5 0
3 years ago
Are the two triangles shown below similar? yes or no. explain ​
IgorLugansk [536]

Answer:

Yes

Step-by-step explanation:

Since the triangles have two congruent angles, the third angle is also congruent.

The sides of one triangle are proportional to the corresponding sides of the other triangle.

8 0
3 years ago
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Eduardo and Krystal each improved their yards by planting daylilies and shrubs. They bought their supplies from the same store.
PIT_PIT [208]

Answer:

Step-by-step explanation:$9 daylilies, $4shrubs. 9x5=45+4x5=20 $65. 9x4=36+10x4=$76

3 0
3 years ago
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