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2 years ago

9.2.11

Mathematics

1 answer:

MrRa [10]2 years ago

6 0

Answer:

34/69

Step-by-step explanation:

2 are jelly-filled

5 are lemon-filled

17 are custard-filled

Total: 24

<em>First drawing:</em>

There are 24 donuts in total, 17 of which are custard filled.

p1(custard filled) = 17/24

Second drawing:

There are now a total of 23 donuts, 16 of which are custard filled.

p2(custard) = 16/23

The two drawings are independent events, so the overall probability is the product of the individual probabilities.

Overall probability of drawing two custard filled donuts:

p(2 custard filled) = p1 * p2 = 17/24 * 16/23 = 17/3 * 2/23 = 34/69

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Does anyone know what 8 1/2 x 4 1/2 is because I keep getting 32 1/2, but the answer is 38 1/2? If you know, please explain.

Irina-Kira [14]

These steps may help you out!

8 1/2 = 17/2

4 1/2 = 9/2

To get this you do⬆8(2) =16 + 1 = 17/2 ; 4(2) = 8 + 1 = 9/2

Change the problem to:

17/2 (9/2)

17(9)/2(2) = ?

So, 17(9) / 2(2) = 153 / 4

153 / 4 as a mixed fraction/number: 38 1/4

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2 years ago

Which numbers are greater than 3x10^-7

USPshnik [31]

3x10^-7 = 3 / (10^7) = 3 / 10000000 = 0.0000003;
A number greater then 0.0000003 is 1.

6 0

3 years ago

Encuentra en cada producto notable el error o errores,enciérralo y escribe el resultado correcto.

lbvjy [14]

Given:

The equation is:

$(2x+3y)(2x-3y)=4x^2+6y^2$

To find:

The error in the given equation and correct it.

Solution:

We have,

$(2x+3y)(2x-3y)=4x^2+6y^2$

Taking left-hand side, we get

$L.H.S.=(2x+3y)(2x-3y)$

$L.H.S.=(2x)^2-(3y)^2$ $[\because a^2-b^2=(a-b)(a+b)]$

$L.H.S.=(2)^2(x)^2-(3)^2(y)^2$ $[\because (ab)^x=a^xb^x]$

$L.H.S.=4x^2-9y^2$

It is not equal to right-hand side $4x^2+6y^2$ . In the right hand side, there must be a negative sign instead of positive sign.

Therefore, $(2x+3y)(2x-3y)=4x^2-6y^2$ .

8 0

3 years ago

The shaded region in the graph represents the solutions of this system of linear inequalities:

kotegsom [21]

Answer:

$y$

$y\leq 2x+3$

Step-by-step explanation:

step 1

Find the equation of the solid line

From the graph take the points (0,3) and (4,11)

Find the slope

$m=(11-3)/(4-0)\\m=8/4=2$

The equation of the solid line in slope intercept form is equal to

$y=mx+b$

we have

$m=2$

$b=3$ ----> the y-intercept is the point (0,3)

substitute

$y=2x+3$

therefore

The inequality is

$y\leq 2x+3$

step 2

Find the equation of the dashed line

The slope is given

$m=4$

From the graph take the y-intercept (0,-5)

The equation of the solid line in slope intercept form is equal to

$y=mx+b$

we have

$m=4$

$b=-5$

substitute

$y=4x-5$

therefore

The inequality is

$y$

because the shaded region is below the dashed line

therefore

The system of inequalities is

$y$

$y\leq 2x+3$

8 0

3 years ago

When a customer wants pie for dessert, you cut whole pies into 7 equal slices. At the end of your shift, 3737 of a cherry pie, 2

matrenka [14]

the answer is 13/7 and here is the correct question

the answer is 13/7 and here is the correct questionwhen a customer wants pie for dessert you cut a whole pies into 7 equal slices...at the end of your shift 3/7 of. a cherry pie.2/7. of an apple pie.3/7 of a peach pie.and 5/7 of a blueberry pie remain...How much pie remains as a fraction of. a whole pie...

Answer:

13/7

Step-by-step explanation:

From the question, we have

3/7 of cherry pie

2/7 of apple pie

3/7 of peach pie

5/7 of blueberry pie

Now we have to add up all of these in order to get the total amount of pie

3/7 + 2/7 +3/7 +5/7

= (3+2+3+5)/7

=13/7

If expressed as a mixed fraction

= 1 6/7

In conclusion, 13/7 pie remains as a fraction of a whole.

4 0

2 years ago