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oee [108]
2 years ago
14

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
7 0
2 years ago
Which numbers are greater than 3x10^-7
USPshnik [31]
3x10^-7 = 3 / (10^7) = 3 / 10000000 = 0.0000003;
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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
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