The probability that any postcard posted in Portugal on Monday is delivered to the UK within a week is 0.62.
The probability that any postcard posted in Portugal on Friday is delivered to the UK within a week is 0.41.
Anna is on holiday in Portugal. She posts 15 postcards to the UK on Monday.
How many of her postcards can she expect to be delivered within a week?

Answer:

3/8

Step-by-step explanation:

for the number 1 on spinner a there are 4 possibilites.

same goes for 2,3 and 4. all in all, there is 32 posibilities total.

for number 1 on spinner a, there are 3 poss. for number 2, there are 2 poss.

in total there are 6 possibilities on spinner A and 6 on spinner B. 6 plus 6 is 12.

12/32=3/8

Answer:

Its 3/8

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

2x + 5 = 1 ( subtract 5 from both sides )

2x = 1-5

2x = -4 ( divide both sides by 2 )

2x ÷ 2 = -4 ÷ 2

x = -2

Answer: x = -2

Step-by-step explanation: To solve for x, we must first isolate the term containing x which in this problem is 2x.

Since 5 is being added to 2x, we subtract 5

from both sides of the equation to isolate the 2x.

On the left, the +5 and -5 cancel out and on the right, 1 - 5 is -4.

So we have 2x = -4.

Now we can finish things off by just

dividing both sides of the equation by 2.

On the left, the 2's cancel and on the right, -4 divide by 2 is -2.

So x = -2.

Answer:

f(2) = 18

Step-by-step explanation:

To evaluate f(2) , substitute x = 2 into f(x), that is

f(2) = 3(2 + 4) = 3 × 6 = 18

Answer:

$82.50

Step-by-step explanation:

Given that the unit rate is $13.75 per hour,

1 hour -----> $13.75

6 hours -----> $13.75 x 6 = $82.50

Answer:

Obi's age is 18 and Oba's age is 9

Step-by-step explanation:

Let Obi's age be x and Oba's age be y

Condition 1:

x = 2y -----------(1)

Condition 2:

(x-4) = 3(y-4)

=> x -4 = 3y-12

=> x - 3y = -9  -----(2)

Putting eq (1) in (2)

2y - 3y = -9

=> -y = -9

=> y = 9

Now,

x = 2y

=> x = 2(9)

=>  x= 18

Answer:

[tex]8\\4[/tex]

Step-by-step explanation:

Obi's age is [tex]x[/tex].

Oba's age is [tex]2x[/tex].

4 years ago, Obi's age was [tex]x-4[/tex].

4 years after, Obi's age is [tex]2x-4[/tex]

3 times more than Oba's, so [tex]3(x-4)[/tex]

[tex]2x - 4 = 3( x - 4)[/tex]

[tex]2x - 4 = 3x-12[/tex]

[tex]2x - 3x = -12+4[/tex]

[tex]-1x=-8[/tex]

[tex]x=8[/tex]

[tex]x-4\\(8)-4=4[/tex]

Area: 68

Perimeter: 50

The amount of mix would be 16 and the amount of milk would be 8 work is in the picture

Answer:

D = 13 units

Step-by-step explanation:

Using Distance Formula to find the length.

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

D = [tex]\sqrt{(2+3)^2+(-5-7)^2}[/tex]

D = [tex]\sqrt{(5)^2+(-12)^2}[/tex]

D = [tex]\sqrt{25+144}[/tex]

D = [tex]\sqrt{169}[/tex]

D = 13 units

Answer:

i think its 13

Step-by-step explanation:

i just plotted the points on a coordinate plane and counted it out its was around 12.8 so i rounded it and its was 13

Answer:

Correct option: C -> 2

Step-by-step explanation:

The first equation is:

[tex]x^2+y^2=363[/tex]

And the second equation is:

[tex]x-y+1=0[/tex]

From the second equation, we have:

[tex]y = x + 1[/tex]

Using this value of y in the first equation, we have:

[tex]x^2 + (x+1)^2 = 363[/tex]

[tex]x^2 + x^2 + 2x + 1 = 363[/tex]

[tex]2x^2 + 2x= 362[/tex]

[tex]x^2 + x - 181 = 0[/tex]

Calculating the discriminant Delta, we have:

[tex]\Delta = b^2 - 4ac = 1 + 4*181 = 725[/tex]

We have [tex]\Delta > 0[/tex], so we have two real values for x, therefore we have two solutions for this system.

Correct option: C.

(If the system of equation is actually:

[tex]x^2+y^2=36[/tex]

[tex]3x-y+1=0[/tex]

We would have:

[tex]y = 3x + 1[/tex]

[tex]x^2+(3x+1)^2=36[/tex]

[tex]x^2+9x^2+6x+1=36[/tex]

[tex]10x^2+6x-35=0[/tex]

[tex]\Delta = 36 + 1400 = 1436[/tex]

We also have [tex]\Delta > 0[/tex], so we have two solutions for this system.

Correct option: C.)

Answer:

A. 0

second part: C. The boats' paths do not cross each other

here, we are required to find the range of values for which

The range of values for which x²–5x + 6 < 0

is at; x < 3

x2–5x + 6 < 0

By solving the expression quadratically; we have;

x² -3x -2x +6 < 0

By factorization;

(x - 2)(x - 3) < 0

Therefore;

The range of values for which x²–5x + 6 < 0

is at;

x < 3

Read more:

https://brainly.com/question/24434501

Answer:

140

Step-by-step explanation:

Sum of angles around a point = 360

So, if one angle 8 reflex and measures 220, it’s adjacent side measures.

360-220 = 140.

Hope this helps.

Good Luck

Answer:

19683

Step-by-step explanation:

As the formula of the geometric sequence:

[tex]a_{n} =a_{1} *r^{n-1}[/tex]

In the sequence of 1, 3, 9..., you have a1 = 1 and r = 3. Therefore:

[tex]a_{10} =1 *3^{10-1} = 3^{9} =19683[/tex]

Hope this helps!

Answer:

8ab+12a-2b-3

Step-by-step explanation:

(4a–1)(2b+3)

Use the FOIL method:

First: 8ab

Outer: 12a

Inner: -2b

Last: -3

8ab+12a-2b-3

Answer:

A. 102

B. 78

Step-by-step explanation:

mEG = 360 - 258 = 102°

m∠EFG = 1/2 ( major arc - manor arc) = 1/2 (258 - 102) = 78°

Answer:

6.78 me too I have to work at the same place and time to go home and see you soon I have to go home to sleep now but I'm

Answer:

6km

Step-by-step explanation:

==>Given:

Map scale = 1 : 200,000

Distance on map between the park and the theatre = 3cm

==>Required:

Real life distance between the town and the theatre in km

==>Solution:

Note: the map scale given means 1cm on the map represents 200,000 cm in real life.

For a map distance of 3 cm between the town and the theatre, the real life distance would be:

3 × 200,000 = 600,000 cm

=>Convert to km

Thus, 100,000cm = 1km

Therefore, 600,000cm = 6km

Real life distance between the town and the theatre = 6km

Answer:

D. All living things are made up of cells.

Step-by-step explanation:

D. All living things are made up of cells.

O The cell theory is a widely accepted principle of biology. Scientists that contributed to the cell theory include; Theodor Schwann, Matthias Schleiden, and Rudolph Virchow.

The cell theory states that;

O All living organisms are made up of cells and they may be unicellular or multicellular.

O The cell is the basic structural and functional unit of life.

Cells arise from pre-existing cells.  

Answer:

2x + y - 4 = 0

Step-by-step explanation:

slope = -2

y = mx + b

2 = -2(1) + b

4 = b

y = -2x + 4

2x + y - 4 = 0

Answer:

the answer is 2x + y - 4 = 0

Step-by-step explanation:

me and my friend did the math and got 2x + y - 4 = 0

Answer: There were 78 red apples at the party.

Step-by-step explanation:

This situation can be represented by the equation  

x + 3x + 2(3x) = 130    where x is the number of green apples, 3x is the number of  yellow apples and 2(3x) is the number  of red apples.

Now solve for x

x +3x +2(3x) =130

4x + 6x = 130

10x  = 130

x =  13  

Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.

2 * (3*13)  = ?

2 * 39 = 78  

Answer:

7 is the correct answer

Answer:

2/5

Step-by-step explanation:

subtract 130,35,and 74 from 400 you will have 160/400 left then you find the greatest common and divide! and get 2/5

Answer: 2/5

Step-by-step explanation:

Ben gives 35 to Sonia, 130 to Phill, 75 to Lance, in total he gives away 240 counters. the fraction of the counters left in his bag would be 400-240 which is 160 and so his fraction would be 160/400 and this in simplest form would be 8/20 if you divide by 20 and then to simplify that you can divide by 4 to get 2/5

Answer:

x = 27°

Step-by-step explanation:

Because of the two parallel lines, we can conclude that

corner DAB = corner FDE = 2x

In ∆DAB

Corner DAB = 2x

Corner BDA = 2x (given)

Corner ABD = 72 (given)

The sum of three corners in any trianle, adds up to 180°.

So if one corner is 72° and the other two corners are the same, then the two corners together, must be 180-72 = 108°.

For each corner that is 108/2= 54

so corner BDA = 54° and also corner DAB = 54°.

Given was BDA = 2x and BDA = 54°

so 2x = 54°

then x = 27°

Answer:

No

Step-by-step explanation:

Answer: (a) Yes. The table is a function.

Step-by-step explanation:

In order to be a function, there cannot be any duplicate x-values.

In the given table, each x-value is different so this IS a function.

Answer:

  [tex]\dfrac{30\,\text{mi}}{1\,\text{h}}=\dfrac{900\,\text{mi}}{t}[/tex]

Step-by-step explanation:

Since you have miles in the numerator of your rate, you need miles in the numerator of the equivalent fraction:

  [tex]\dfrac{30\,\text{mi}}{1\,\text{h}}=\dfrac{900\,\text{mi}}{t}[/tex]

This can be rearranged to ...

  [tex]\dfrac{t}{1\,\text{h}}=\dfrac{900\,\text{mi}}{30\,\text{mi}}=30[/tex]

Then, multiplying by 1 h gives the solution ...

  t = 30 h

It takes 30 hours to travel 900 miles at 30 miles per hour.

the answer is:

d. 900/? hours

Answer:

B

Step-by-step explanation:

Set up the equation

z = [tex]\frac{kx^2}{y}[/tex]

Plug in the numbers to find the value of k

3 = [tex]\frac{k(2^2)}{4}[/tex]

12 = 4k

3 = k

Solve to find the value of z

z = [tex]\frac{3(4^2)}{9}[/tex]

z = [tex]\frac{3(16)}{9}[/tex]

z = 48/9

z = 16/3

Answer:

1. [tex]y = - (x - 1)^{2}[/tex], Reflected over the x-axis.

2. [tex]y = (x - 1)^{2} +1[/tex] , Translated up by 1 unit.

3. [tex]y = (x + 1)^{2}[/tex] , Reflected over y-axis

4. [tex]y = (x - 2)^{2}[/tex] ,Translated right by 1 unit.

5. [tex]y = (x - 1)^2 - 3[/tex], Translated down by 3 units

6. [tex]y = (x + 3)^2[/tex], Translated left by 4 units.

Step-by-step explanation:

Given that:

Parent function: [tex]y = (x - 1)^{2}[/tex] Please refer to attached Graph4.

1. [tex]y = - (x - 1)^{2}[/tex]  Sign of y is changed from + to -, so it gets reflected over x axis. Please refer to attached Graph3.

2. [tex]y = (x - 1)^{2} +1[/tex]: 1 is added to y to translated up (positive y by 1 unit). Please refer to attached Graph3.

3. [tex]y = (x + 1)^{2}[/tex] , Reflected over y-axis, please refer to attached Graph4.

4. [tex]y = (x - 2)^{2}[/tex] : 1 is subtracted from x , it gets Translated right by 1 unit. Please refer to attached Graph5.

5. [tex]y = (x - 1)^2 - 3[/tex], 3 subtracted from y so it getss translated down by 3 units. Please refer to attached Graph6.

6. [tex]y = (x + 3)^2[/tex], 4 added to x, so it gets translated left by 4 units. Please refer to attached Graph5.

Answer:

the other guys answer

Step-by-step explanation:

sorry we have been about your car extended warranty this is are last call

Answer:

I am grade a man who is not in my life and I am 97 and the other is that 93inches is the urge for the pain of his life and I think that he is not a good person to be a

Answer:

2x=y

Step-by-step explanation:

Done

Answer:

A

Step-by-step explanation:

Reflected across the x-axis => but then moved up 4 units

this makes it in a way "flipped"

We see a's coordinates = (-3, 3)

b's coordinates = (-1, 1)

c's coordinates = (-2, 3)

Hope this helps!

Answer:

Choice A

Step-by-step explanation:

Step 1 - reflection across x-axis, affects y-coordinate only

Step 2- 4 units up, affects y-coordinate only

So for the given points we have:

Choice A is correct

Answer:

B

Step-by-step explanation:

4.5 x 6 = 27

4.5 x 8 = 36

27 x 2 = 54

36 x 2 = 72

54 + 72 = 126cm Perimeter/

27 x 36 = 972 cm2 Area/