All categories

3 years ago

Pieces of paper with each letter of the alphabet are placed into a jar. A student draws

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

3 0

Answer:

0.71 to 2 decimal places.

Step-by-step explanation:

The Probability that a letter A through G is drawn in 1 draw = 7/26.

The probability that a different draw other A-G is made = 1 - 7/26 = 19/26.

Probability ( No A-G drawn in 4 draws) = (19/26)^4 = 0.2852.

Therefore, the probability that A-G is drawn at least once = 1 - 0.2852.

= 0.71 to 2 decimal places.

You might be interested in

I need someone to help me do this, see attached documents for the questions

Brilliant_brown [7]

Answer:

<u><em>1.) 20.2</em></u>

Step-by-step explanation:

1.) You need to use the distance formula:

$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Find the distance of A to B first:

$(-2,2)(3,2)\\\\\sqrt{(3+2)^2+(2-2)^2}\\\\\sqrt{(5)^2+(0)^2}\\\\\sqrt{25} =5$

B to C:

$(3,2)(-1,-5)\\\\\sqrt{(-1-3)^2+(-5-2)^2}\\\\\sqrt{(-4)^2+(-7)^2}\\\\\sqrt{16+49}\\\\\sqrt{65} =8.06=8.1$

C to A:

$(-1,-5)(-2,2)\\\\\sqrt{(-2+1)^2+(2+5)^2}\\\\\sqrt{(-1)^2+(7)^2}\\\\\sqrt{1+49}\\\\\sqrt{50}=7.07=7.1$

Add distances to find the perimeter:

$5+8.1+7.1=20.2$

2.) Part A:

You need to use the mid-point formula:

$midpoint=(\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2} )$

$(3,2)(7,11)\\\\(\frac{3+7}{2},\frac{2+11}{2})\\\\(\frac{10}{2},\frac{13}{2})\\\\m=( 5,6.5)$

Part B:

1. Use the slope-intercept formula:

$y=mx+b$

M as the slope, b the y-intercept.

Find the slope of the two points A and B using the slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}$

Insert slope as m into equation.

Take point A as coordinates $(x,y)$ and insert into the equation. Solve for the intercept, b:

$(y)=m(x)+b$

Insert the value of b into the equation.

2. Use the mid-point coordinate. Take the slope.

If you need to find the perpendicular bisector, you will take the negative reciprocal of the slope. Switch the sign and flip it. Ex:

$\frac{1}{2} =-\frac{2}{1}=-2\\$

Insert the new slope into the slope-intercept equation as m.

Take the mid-point coordinate as (x,y) and insert into the equation with the new points. Solve for b.

Insert the value of b.

4 0

4 years ago

in a square garden plot (with an area of 400 sq ft)deer fencing priced at $1.50 per foot is to be installed around the plot. if

mina [271]

We have a square garden of 400 square foot.

The area of a square is:

$A=x^2$

where x: side length.

In this case:

$\begin{gathered} A=400=x^2 \\ x=\sqrt[]{400}=20\text{ ft} \end{gathered}$

The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:

$P=4x=4\cdot20=80\text{ ft}$

The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:

$C=1.50\cdot(1+0.07)=1.50\cdot1.07=1.605\text{ \$/ft}$

The fencing will be installed in all the perimeter (80 ft).

We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):

$F=C\cdot P=1.605\frac{\text{\$}}{\text{ft}}\cdot80\text{ ft}=\$128.40$

Answer: the fencing will cost a total of $128.40

8 0

1 year ago

The area of a square is 321 square feet. Which best represents the length of a side?

sdas [7]

The side length is about 17.916

7 0

3 years ago

The prophecy states that if you go to the link in the picture this comment will make sense

likoan [24]

Answer:

no way

Step-by-step explanation:

4 0

3 years ago

Given that ABCD is a rhombus, what is the value of x?<br>(3x - 26)

ExtremeBDS [4]

<h2>The required "option B) $20.75\°$ " is correct.</h2>

Step-by-step explanation:

You can refer figure:

brainly.com/question/4386376

To find, the value of x = ?

We know that,

Consecutive angles are supplementary

The diagonals bisect the angles.

$2x\°+2(3x+7)\°=180\°$

Divided by 2 both sides, we get

⇒ $x\°+(3x+7)\°=90\°$

⇒ $x\°+3x+7\°=90\°$

⇒ $4x=90\°-7\°$

⇒ 4x = $83\°$

⇒ $x=\dfrac{83\°}{4}$

⇒ $x=20.75\°$

∴ The value of x = $20.75\°$

Thus, the required "option B) $20.75\°$ " is correct.

7 0

3 years ago

Read 2 more answers