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Leokris [45]
3 years ago
14

If you are buying at item at a store for a price of $72, and there is a 6.2% tax added on top, what would be the total amount du

e at the register, to the nearest cent?​
Mathematics
2 answers:
gulaghasi [49]3 years ago
8 0

Answer:

76.46

Step-by-step explanation:

FrozenT [24]3 years ago
5 0

Answer:

Sale Tax($): 4.5

Step-by-step explanation:

Before Tax Price ($):  72

Tax Rate (%): 6.2

Final Price Including Tax ($):  76.46

Sale Tax($): 4.46

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A pair of fair dice is cast. Let Edenote the event that the number landing uppermost on the first die is a 1 and let Fdenote the
iris [78.8K]

Answer:

They are not independent

Step-by-step explanation:

Given

E = Occurrence of 1 on first die

F = Sum of the uppermost occurrence in both die is 5

Required

Are E and F independent

First, we need to list the sample space of a roll of a die

Event\ 1 = \{1,2,3,4,5,6\}

Next, we list out the sample space of F

Event\ 2 = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,\

6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}

In (1): the sample space of E is:

E = \{1\}

So:

P(E) = \frac{n(E)}{n(Event\ 1)}

P(E) = \frac{1}{6}

In (2): the sample space of F is:

F = \{5,5,5,5\}

So:

P(F) = \frac{n(F)}{n(Event\ 2)}

P(F) =\frac{4}{36}

P(F) =\frac{1}{9}

For E and F to be independent:

P(E\ and\ F) = P(E) * P(F)

Substitute values for P(E) and P(F)

This gives:

P(E\ and\ F) = \frac{1}{6} * \frac{1}{9}

P(E\ and\ F) = \frac{1}{54}

However, the actual value of P(E and F) is 0.

This is so because E = \{1\} and F = \{5,5,5,5\} have 0 common elements:

So:

P(E\ and\ F) = 0

Compare P(E\ and\ F) = \frac{1}{54} and P(E\ and\ F) = 0.

These values are not equal.

Hence: the two events are not independent

6 0
3 years ago
The cost of a service or item is a(n):<br><br> 1. Expense<br> 2. Income<br> 3. Coupon<br> 4. Budget
miv72 [106K]
<span>The cost of a service or item is an expense
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5 0
3 years ago
Look at the figure shown below:
kow [346]

Answer:  b) two sides and the included angle are congruent

<u>Step-by-step explanation:</u>

  RS = QS                 SIDES are congruent

∠PSR ≡ ∠PSQ         ANGLES are congruent

 PS = PS                  SIDES are congruent

ΔPSR ≡ ΔPSQ by the Side-Angle-Side (SAS) Congruency Theorem

Since we know the triangles are congruent, we can state that their parts are congruent:

Congruent-Parts of-Congruent-Triangles are-Congruent (CPCTC)

8 0
3 years ago
Kelsey graphed the equation y = 3x + 1 as shown below.
USPshnik [31]

Answer:

D. Kelsey graphed the slope as the y-intercept and the y-intercept as the slope.

Step-by-step explanation:

The equation to graph was : y= 3x + 1 where the slope is 3 and the y-intercept is 1

However, Kelsey graph line passes through points (-3, 0)and (0, 3).From these points the equation of the line is;

m=Δy/Δx  where

m=the slope of the graph

Δy= 3-0 =3

Δx= 0--3 =3

m=3/3 = 1

The equation of the line should be;

m=Δy/Δx

1=y-3/x-0

1x= y-3

3+1x= y

y= 1x + 3 ----------where the slope is 1 and y-intercept is 3

So you can see here that in the original equation,<em> the slope m is 3 and y-intercept is 1 as shown in the first attached graph.</em>

While in the Kelsey's graph, <em>the slope is 1 and the y-intercept is 3 as in the second attached graph. </em>

<em>Thus, the correct answer is D : Kelsey graphed </em><u><em>the slope,3</em></u><em> as the </em><em>y-intercept </em><em>and the</em><u><em> y-intercept,1,</em></u><em> as the slope. </em>

Answer choice A is incorrect because Kelsey didnot graph the y-intercept, 1 on the x-axis but graphed point (-3,0) on the x-axis.

Answer choice B is incorrect because on Kelsey's equation the y-intercept is 3 and not -3. i.e. y=1x + 3

Answer choice C is incorrect because Kelsey graphed the slope as up 1 right 1 which is okay per the equation , y=1x+3.However, this incorrect because the correct graph has a slope of 3.

4 0
3 years ago
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Step-by-step explanation:

i dont know

3 0
3 years ago
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