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3 years ago

5

Select a card from a stack of 10, then you put the card back and select another card. Find the probability of selecting a 2, and

then a 3 card.

2 answers:

Sindrei [870]3 years ago

5 0

I think it would be 1/10+1/10=2/10=1/5

Goshia [24]3 years ago

4 0

The probability 5 out of 10

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Express 13,040,000 in scientific notation

ser-zykov [4K]

$1.304 * 10^{7}$

8 0

3 years ago

Read 2 more answers

The perimeter of a rectangular baking sheet is 58 inches and its area is 201.25 in.2. What are the length and width of the bakin

anzhelika [568]

Answer:

$Length=17.5\ in\\\\Width=11.5\ in$

Step-by-step explanation:

The formula for calculate the Area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

And the formula for calculate the peimeter of a rectangle is:

$P=2l+2w$

Where "l" is the lenght and "w" is the width.

We know that the perimeter of the rectangular baking sheet is 58 inches and its area is 201.25 in². Then:

$A=201.25\ in^2\\\\P=58\ in$

<u>The steps are:</u>

1. Solve for the "l" from the formula $A=lw$ :

$A=lw\\\\l=\frac{A}{w}\\\\\l=\frac{201.25}{w}$

2. Substitute $l=\frac{201.25}{w}$ into the formula $P=2l+2w$ and solve for "w":

$58=2(\frac{201.25}{w})+2w\\\\58=\frac{402.5}{w}+2w\\\\58=\frac{402.5+2w^2}{w}\\\\58w=402.5+2w^2\\\\2w^2-58w+402.5=0$

Applying the Quadratic formula $x=\frac{-b\±\sqrt{b^2-4ac}}{2a}$ , we get:

$x=w=\frac{-(-58)\±\sqrt{(-58)^2-4(2)(402.5)}}{2(2)}\\\\w_1=17.5\\\\w_2=11.5$

3. Substitute $w_1=17.5$ into $l=\frac{201.25}{w}$ :

$l=\frac{201.25}{17.5}=11.5$

4. Substitute $w_2=11.5$ into $l=\frac{201.25}{w}$ :

$l=\frac{201.25}{11.5}=17.5$

Therefore, since the value of the lenght of a rectangle must be greater that the value of the width, we can conclude that the lenght and the width of the rectangular baking sheet are:

$l=17.5\ in\\\\w=11.5\ in$

8 0

3 years ago

Find the distance between the pair of points (-6.-17) and (-8.-19) The distance is (Round to the nearest thousandth as needed.)

valina [46]

Answer:

2.83

Step-by-step explanation:

d= Square root of (x2 - x1 )^2 +( y2- y1)^2

from the point given you

x1= -6

y1 = -17

x2 = -8

y2 = -19

by applying the formula

Square root of ( -8 - (-6))^2 + ( -19 - (-17))^2

Square root of (-8+6) + (-19+17)^2

3 0

2 years ago

Write the inequality that represents the solution set for −6z17<−23

Rashid [163]

Still need help??!? if so I have and idea probably -∞yuf4

8 0

3 years ago

Heron wants to buy a video game. The price is regularly priced at 55 dollars. The store has a discount of 20% off and a sales ta

seropon [69]

The amount paid by Heron for the video game is $46.64.

Step-by-step explanation:

Here, the marked price of the video game = $55

The discount percentage on the video game = 20%

Calculating 20% of the $55, we get:

$\frac{20}{100} \times 55 = 11$

So, the discount offered on the video game = $11

Selling Price = Marked Price - Discount

=$55 - $11 = $44

Now, the tax percentage on the video game = 6%

Calculating 6% of the $44, we get:

$\frac{6}{100} \times 44 =2.64$

So, the tax on the video game = $2.64

New Selling Price = Selling Price + Tax

=$44 + $2.64 = $46.64

So, the amount paid by Heron for the video game is $46.64.

3 0

3 years ago