The missing probability value for dr Green

Answer:

The diagonal is irrational because it is a product of a rational and an irrational number

Step-by-step explanation:

The options are not given. However, the question is still answerable.

Given

Shape: Square

Length: Rational

Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.

Having said that:

The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.

[tex]d^2 = l^2 + l^2[/tex]

[tex]d^2 = 2l^2[/tex]

Take positive square root of both sides

[tex]d = \sqrt{2l^2}[/tex]

Split:

[tex]d = \sqrt{2} * \sqrt{l^2}[/tex]

[tex]d = \sqrt{2} *l[/tex]

Recall that the side length (l) is rational.

However, [tex]\sqrt 2[/tex] is irrational.

So, the product of l and [tex]\sqrt 2[/tex] will be irrational

Hence:

The diagonal is irrational

Answer:

Other root is 9 and p = 7.

Step-by-step explanation:

x^(2) - (3p-4)x + 11p-5 = 0 ,   x = 8.

Let the other root be A, then using the formula for the product and sum of the roots of a quadratic equation:

8* A = 11p - 5

8 + A = -(-(3p - 4))

8 + A = -(-3p + 4)

8 + A = 3p - 4

A = 3p - 12.

Multiply this last equation by 8:

8A = 24p - 96

Now subtract the first equation from this:

8A - 8A =  24p - 11p - 96- (-5)

0 = 13p - 91

13p - 91 = 0

p = 91/13 = 7

and A = 3(7) - 12

= 9.

Answer:

Other root 9, p is 7

Step-by-step explanation:

Answer:

3) 3x - y = 1

Step-by-step explanation:

m=3

(y-2) / (x-1) = 3

y-2 = 3(x-1)

y = 3x - 1

Answer:

31.5

cubic inches of sand will fit in the container because 4.5 x 3.5 • 2 = 31.5in.^3

A given set of data is said to have a greater spread if it covers a large scale/area. Since the data set 3 only covers a small portion of a wide spectrum it is said to have a smaller spread when in comparison with data set 4 which has a greater spread as it covers a larger scale/spectrum.

▪︎Therefore, Data set 4 has a greater spread.

Lower quartile of a data set is said to be the median of the lower half of the data set.

Lower quartile of this data set :

[tex] = \tt \frac{50 + 60}{2} [/tex]

[tex] =\tt \frac{110}{2} [/tex]

[tex]\color{plum} =\tt 55[/tex]

Thus, the lower quartile of this data set = 55

Median is said to be the middle element of a data set.

The median of this data set = 80

Upper quartile of a data set is said to be the median of the upper half of a given data set.

Upper quartile of this data set :

[tex] =\tt \frac{110 + 100}{2} [/tex]

[tex] =\tt \frac{210}{2} [/tex]

[tex]\color{plum} = \tt105[/tex]

Thus, the upper quartile of this data set = 105

▪︎Lower quartile of this data set = 55

▪︎Upper quartile of this data set = 105

▪︎Median of this data set = 80

You will make 40 grams of 25% sugar syrup.

P.s. ur welcome

Answer:

10

Step-by-step explanation:

Length of boards are the same :

Let number of boards = x

Fraction cut from each board = 3/5

Total fraction cut = 3/5 * x

Fraction left = 1 - 3/5 = 2/5

Total fraction left = 2/5 * x

Total pieces left = 2/5 * x = 4 times length of original board

Note ; original fraction = 1

Hence,

2/5 * x = 4 * 1

2x / 5 = 4

2x = 4 * 5

2x = 20

x = 20 / 2

x = 10

Number of boards = 10

Answer:

Here's the picture + somewhat process? (hard to explain, please lmk if it's wrong and i'll fix it!!)

Answer:

x= 11.66667

Step-by-step explanation:

ok the six is repeating but, basically multiply 5 times 7, then divide that by 3

Answer:

the first one

Step-by-step explanation:

Answer:

2n+2

Step-by-step explanation:

Answer:

y=1/2x+2

Step-by-step explanation:

Answer:

1/2 x + 2

Step-by-step explanation:

Step-by-step explanation:

6w+18-2=12w-16+2w

32=8w

-8w=-32

w=4

4x-4=1/2x-4

3 1/2x=0

x=0

4x+12-4=4x+8

0=0

4x-10+2x=7x-1

-3x=9

x=-3

3x+7x+1=10x+2

0=1 (undefined)

Answer:

C. 71.43 seconds

Step-by-step explanation:

Given data

Distance= 38.5m

time= 22 seconds

speed= 38.5/22

speed= 1.75 m/s

given that distance =  125meters

t= 125/1.75

t= 71.4 seconds

Answer:

Each box contains 1424 pencils;

There would be 2848 total pencils in two boxes.

Step-by-step explanation:

1424 x 2 = 2848 pencils

Answer:3/4

Step-by-step explanation:

3 is the amount of bags that need to be divided and four is the number of friends sharing them

Answer:

3 and remainder 1 (I'm sorry I dont know if your doing remainders

Answer:

More info needed

Step-by-step explanation:

If 13,-6 represents (13,-6), this is a point. The y coordinate is -6, but there would be no y intercept since a single point won't cross the y axis.

Answer:

3/10

Step-by-step explanation:

Let's assume;

30 ml of Orange Juice + 45 ml of Apple Juice + 25 ml of Coconut milk = 1 glass of Cocktail

30 ml : 45 ml : 25 ml = 1

30 + 45 + 25 = 100 ml = 1 glass of Cocktail

Orange juice proportion = Amount of Orange Juice in ml ÷ 1 glass of Cocktail in ml

Orange Juice proportion = 30 ml ÷ 100 ml

= 3/10

Answer:

In a fruit cocktail, for every 30 ml of orange juice you need 45 ml of apple juice and 25 ml of coconut milk.

Step-by-step explanation: Hope this is right I think there is  3/10 of Orange juice

Total Contents: 25 +30+45+100

Proportion of apple juice:

30/100

3/10

Answer:

7 over 8

Step-by-step explanation:

Answer:

fraction: 7/8

decimal: 0.875

Step-by-step explanation:

Answer:

1:4

Step-by-step explanation:

Given

3: 12

To express in the form 1:n

Consider how to make 3 equal to 1, we simply divide 3 by 3 to get 1 as such, we would also divide 12 by 3

3:12

= 3/3:12/3

= 1:4

Comparing with 1:n, it is safe to say that n = 4

Answer:

(x, y) = (-2, -3)

WORK:

2x + 4y = -16  =

-2x + 2y = -2  =

(^ the two’s cancel out) =

6y = -18  =

(^ you need to divide 6 on both sides to get just y) =

6y/6 = -18/6  =

(^ the six’s cancel out) =

y = -3  =

(^ now you have to plug this in to get x) =

2x + 4(-3) = -16  =

2x - 12 = -16  =

(^ you need to add 12 on both sides to get rid of it on the left side to add it to -16 on the right side) =

2x = -4  =

2x/2 = -4/2  =

(^ now you divide 2 on both sides again to get just y, and they will cancel out) =

x = -2  =

THEREFORE YOU GET (-2, -3)

Could you be a bit more specific on what you are asking for help with? y=3xt7 is the final answer for a y=mx+b question. 3 is the slope and 7 is the y-intercept.

Answer:

pyramid

Step-by-step explanation:

plz make me brainliest

Step-by-step explanation:

we need to use pythagoras's theorem (reversed) in this situation. We know the hypotenuse and the lower line, so we can find the upright one. That will be the value of AD.

so we use 81 (9 squared) and 144 (12 squared)

let x be the upright line's length

144-81=x squared

63=x squared

find the square root of 63 and you can have your answer

Im not gonna do that for you because that's pretty easy

Answer:

x = -3

There is a base f 5 on the left side, so write the denominator on the right as a base of

5 as well.

5

x

=

1

125

5

x

=

1

5

3

Move the base to the numerator.

5

x

=

5

−

3

If the bases are equal, the indices are equal:

x

=

−

3

Answer:

The answer is 1/625

Step-by-step explanation:

The reason is because 5a = 1/125

Therefore, to find the value of "a" we need to divide!

So, a = 1/125 / 5

           ⇒ 1/125 × 1/5    ( Reciprocal when we divide )                                                        

             ⇒ 1/125 × 5

             → 1/625

I hope this answer helps!

Answer:

27

Step-by-step explanation:

ez

Answer:

26

Step-by-step explanation:

Square=5

Circle=7

Triangle=4

Do the math to check for yourselves.

Answer:

Solution

1 Cancel 77 on both sides

x\times 0.04=x\times 4xx×0.04=x×4x

2 Regroup terms

0.04x=x\times 4x0.04x=x×4x

3 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

​a

​​ x

​b

​​ =x

​a+b

​​

0.04x={x}^{2}\times 40.04x=x

​2

​​ ×4

4 Regroup terms

0.04x=4{x}^{2}0.04x=4x

​2

​​

5 Move all terms to one side

0.04x-4{x}^{2}=00.04x−4x

​2

​​ =0

6) Factor out the common term x

x(0.04-4x)=0

7 Solve for x

x=0,0.01

Done!

Step-by-step explanation:

Answer:

answer x =2

Step-by-step explanation:

answer x=2

5.2-7=3

×=2

Step-by-step explanation:

5x-7=3

add 7 in both sides to cancel out the 7 in the left

5x=10

you ant x by itself so you divide 5 in both sides

5x/5 = 10/5

x=2

Answer:

Only Bella is correct

Step-by-step explanation:

I’m right

Answer:

OnLy BeLlA

Step-by-step explanation:

Answer:

x>-4

Step-by-step explanation:

im pretty sure but i dont know