Here are the ingredients needed to make 20 walnut biscuits.
Walnut biscuits
Ingredients to make 20 biscuits
50g butter
100g caster sugar
40g flour
50g walnuts
2 egg whites
Liz wants to make 50 walnut biscuits
Work out the amount of each ingredient she needs

Answer:

2.5

Step-by-step explanation:

The median is the middle value of the data set. If there is no exact middle value then it is the average of the 2 values either side of the middle.

0  ,  1  ,  2  ,  3  ,  4  ,  5

                 ↑ middle of data

Thus median = \(\frac{2+3}{2}\) = \(\frac{5}{2}\) = 2.5

Answer:

21-- 9660 / 460 = 21

Answer:

9660/460 = 21

Step-by-step explanation:

Answer:

-1.25737973739

Step-by-step explanation:

plz make it brillent ans

Main answer: The diameter of the silver wire is approximately 1.31×10^−5 m.

Step-by-step solution:

Step 1: Determine the charge passing through the cross section.

Charge (Q) = Number of electrons * Charge of one electron

Q = 1.4×10^16 * 1.6×10^−19 C (charge of one electron)

Q ≈ 2.24×10^−3 C

Step 2: Calculate the current in the wire.

Current (I) = Charge (Q) / Time (t)

t = 300 μs = 300×10^−6 s

I = 2.24×10^−3 C / 300×10^−6 s

I ≈ 7.467 A

Step 3: Use the drift speed formula to find the wire's area.

Drift speed (v_d) = I / (n * A * e)

where n is the number density of silver (free electrons per unit volume), A is the cross-sectional area, and e is the charge of one electron.

For silver, n ≈ 5.86×10^28 m^−3.

v_d = 7.6×10^−4 m/s

Rearrange the formula to solve for A:

A = I / (n * v_d * e)

A ≈ 7.467 A / (5.86×10^28 m^−3 * 7.6×10^−4 m/s * 1.6×10^−19 C)

A ≈ 1.35×10^−10 m^2

Step 4: Calculate the diameter of the wire.

The cross-sectional area of the wire (A) is related to its diameter (D) through the formula for the area of a circle:

A = π(D/2)^2

Rearrange the formula to solve for D:

D = 2 * sqrt(A/π)

D ≈ 2 * sqrt(1.35×10^−10 m^2 / π)

D ≈ 1.31×10^−5 m

Learn more about the diameter of the wire :

https://brainly.com/question/17428657

#SPJ11

Answer: The answer is 2.

Step-by-step explanation: 3/15 can be simplified to 1/5. Find 1/5 of 10. You can do that by dividing 10 and 5. Therefore, the answer is 2.

Answer:

op 1

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

16x5=80

80/4=20

Answer:

105.135

Step-by-step explanation:

the area of the rectangle can be found by 8 x 10. the area of the circle can be found by using the formula A =3.14(r^2)

the area of the circle equals 50.27 but you must divide by two and add that value to the rectangles area getting an anwser of 105.135

Answer: 13

Step-by-step explanation: i googled it

You would expect 73 left-handed pitchers out of the 630 total pitchers in a major-league baseball game in one recent year.

The probability of a randomly selected person being left-handed is 0.117. Using this information, the expected number of left-handed pitchers in a group of 630 can be determined using the formula:

Expected Value = (Probability of Event) * (Number of Trials)

Expected Value = (0.117) * (630)

Expected Value = 73.31

Therefore, you would expect 73 left-handed pitchers out of the 630 total pitchers in a major-league baseball game in one recent year.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ4

Answer:

-16?

Step-by-step explanation:

the correct answer  i

- 16

Answer:

Look below.

Step-by-step explanation:

Good ol' Pythagorean Theorem.

To find the short side of the larger triangle, we'll use this equation:

\(a^{2} +b^{2} =c^{2} \\\\9^2+b^2=10^2\\81+b^2=100\\\)

You can solve the rest on your own.

Use the same type of equation for the smaller triangle, except your b would be the hypotenuse, so that equation would look something like this:

\(3^2+x^{2} = b^2\)

Hope it helped! Also, there seems to be a help video, if you didn't understand this explanation, why don't you go ahead and watch it?

Answer:

x ≈ 3.2

Step-by-step explanation:

Using Pythagoras' identity in the right triangle on the left

let third side be h , then

h² + 9² = 10²

h² + 81 = 100 ( subtract 81 from both sides )

h² = 19

Using Pythagoras' identity in the right triangle on the right

x² + 3² = h²

x² + 9 = 19 ( subtract 9 from both sides )

x² = 10 ( take the square root of both sides )

x = \(\sqrt{10}\) ≈ 3.2 ( to the nearest tenth )

The astronomer must rotate her telescope 86.829° to see star BBB. Rounding to the nearest degree, the astronomer must rotate her telescope 87°.

We can use the law of cosines to solve this problem. The law of cosines states that for a triangle with sides A, B, and C, A2 = B2 + C2 - 2BCcos(θ), where θ is the angle opposite side C.

In our case, A = 450450450, B = 400400400, and C = 909090. We know that angle θ is the angle we need to find, so we can rearrange the equation to solve for θ.

θ = cos-1(A2 - B2 - C2)/(-2BC)

θ = cos-1((450450450)2 - (400400400)2 - (909090)2)/(-2(400400400)(909090))

θ = cos-1(-9.65 × 10-12)/(-2.8 × 1012)

θ = cos-1(-3.4 × 10-13)

θ = 86.829°

Learn more about law of cosines here:

https://brainly.com/question/17289163

#SPJ4

Answer:

the ratio of black mice*

Step-by-step explanation:

According to the question and after using the Pythagorean theorem the length of one side of the roof is 7.416 metres.

The Pythagorean Theorem is a mathematical formula used to determine the length of the sides of a right triangle. It is named after the Greek mathematician Pythagoras, who is credited with discovering the formula in the 6th century BC. The theorem states that the sum of the squares of the two shorter sides of the triangle is equal to the square of the hypotenuse (the longest side of the triangle). In equation form, it is expressed as a² + b² = c², where a and b are the lengths of the two shorter sides of the triangle and c is the length of the hypotenuse.

We know that the hypotenuse is 8 metres (the width of the shed) and the two shorter sides are 3 metres (the height of the walls) and y (the length of the side of the roof).
Therefore, using the Pythagorean theorem, we have:
3² + y² = 8²
9 + y² = 64
y² = 55
y = √55
y = 7.416 metres
Therefore, the length of one side of the roof is 7.416 metres.

To learn more about Pythagorean theorem
https://brainly.com/question/231802
#SPJ1

Answer:    3/56

Step-by-step explanation:

First bag of rocks:

2 blue

3 yellow

2 black

Total: 7 rocks

P(yellow) = 3/7      >There are 3 yellow out of 7 total

Second spinner:

9 white

3 blue

2 black

2 purple

Total: 16 colors

P(purple) = 2/16 = 1/8           >There are 2 purples out of 16 total, then

                                              reduce

Because the second probability is dependent "AND THEN" is an indicator of dependence.  multiply the 2 probabilities

P(yellow AND purple) = (3/7)(1/8)

P(yellow AND purple) = 3/56

The probability that a randomly selected U.S. adult is an independent and not a conservative can be calculated as follows:P(Independent and Not Conservative) = P(Independent) * P(Not Conservative | Independent) = 0.30 * (1 - 0.32) = 0.204.

Therefore, the probability that a randomly selected U.S. adult is an independent and not a conservative is 0.204 or approximately 20.4%.

This result suggests that a significant proportion of Independents may not identify as conservative, and highlights the diversity of political views within this group. It also suggests that political ideology is not necessarily determined by party affiliation, and that individuals may have complex or nuanced political beliefs that do not fit neatly into a binary classification.

Find out more about probability

brainly.com/question/10807269

#SPJ4

The tile in a bathroom or kitchen is one example of tessellation. It's where you place geometric shapes together to fill a space. In this case, we have squares placed together to fill the space of the wall or floor. There cannot be any gaps or overlaps.

Another example would be bricks as this is composed of rectangles placed together without any gaps or overlaps. There are many other examples as well usually done as floor or wall patterns of some kind. Some tessellations involve using more than one shape (eg: one pattern uses squares and equilateral triangles placed together).

Answer:

7.64

Step-by-step explanation:

use tangent (opposite over adjacent)

tan27=x/15

multiply both sides by 15 to isolate the x

15tan27=x

use a calculator

answer = 7.64

The proportional functions is option 1. A store sells shirts for $5 each, or 2 shirts for $10, or 5 shirts for $20.

Proportional vs Non-proportional functions

In a proportional function, the output is equal to the input times a constant. The constant is a rate that describes the pace at which the variables change.

In the 1st option, A store sells shirts for $5 each, or 2 shirts for $10, or 5 shirts for $20

the price of the shirt is directly proportional to the number of shirts.

So option 1 is correct, it represents a proportional function

Therefore, the proportional functions is option 1. A store sells shirts for $5 each, or 2 shirts for $10, or 5 shirts for $20.

To learn more about proportinal function refer here

https://brainly.com/question/12242745

#SPJ9

Answer:

40,000 + 5,000 + 200 + 30 + 1

p=4n+2 equation describes the relationship between n and p

How to find a function?

To ascertain whether a graph accurately depicts a function, use the vertical line test. The graph is a function if a vertical line drawn across it is moved and hits it only once at any given time. If there are multiple points where the vertical line intersects the graph, the graph is not a function.

Here the coordinates are (1,6),(2,10),(3,14),(4,18)

take two coordinates arbitrarily

ie. (1,6) and (3,14)

\(m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }\)

\(m=\frac{14-6}{3-1}\\ = \frac{8}{2}\)

=4

we know the equation

\(y-y_{0} = m(x-x_{0} )\)

where \((x_{0},y_{0})= (1,6)\)

y-6 = 4(x-1)

y-6 = 4x-4

y = 4x-4+6

y = 4x+2

here y is the profit and x is the number of shirts

∴p=4n+2

To learn more about finding  a function from the given link  

https://brainly.com/question/25638609

#SPJ1

The given set have two integers whose sum is 15 because if we selcet the element from the given set then there sum is equal to 15.

In the given question, let s = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. suppose six integers are chosen from s.

We have to check there be two integers whose sum is 15.

As we know that,

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The letter Z or the chalkboard Z is frequently used to represent the set of integers in mathematical terminology.

There are total 10 elements.

We have to choose two element from the given set which sum is equal to 15.

If we choose 3 and 12 then there sum is 15.

Similarly, if select (5,10), (6,9), (7,8) the sum of all these selection is 15.

So the given set have two integers whose sum is 15.

To learn more about integers link is here

brainly.com/question/15276410

#SPJ4

Using the ratio test for this series, the limit of this expression as n approaches infinity is 1/e, which is less than 1, the series converges absolutely.

In order to test the convergence or divergence of a series, we need to check whether it is convergent or divergent. In this case, we will use the ratio test, which is one of the most commonly used tests for testing the convergence or divergence of series. Let's use the ratio test and see if this series is convergent or divergent. We can test the series for convergence or divergence using the ratio test. The ratio test states that if the limit of the absolute value of the ratio of the (n+1)th term and the nth term as n approaches infinity is less than 1, then the series converges absolutely. If the limit is greater than 1, then the series diverges, and if the limit is equal to 1, then the test is inconclusive and another test must be used.

Let's use the ratio test for this series:

[(-1)^(n+1) (n+1)^(5(n+1))] / [(-1)^n n^(5n)] = [-n/(n+1)]^5 (n+1).

Since the limit of this expression as n approaches infinity is 1/e, which is less than 1, the series converges absolutely.

Therefore, we can conclude that the given series is convergent.

Learn more about ratio test visit:

brainly.com/question/31700436

#SPJ11

The next three terms for the pattern will be 12, 48, 192 and 768.

It is important to note that a pattern is used to show the sequence of events.

In this case, the first term of a pattern is 12 and the pattern follows the rule "multiply by 4."

This will be:

First term = 12

Second term = 12 × 4 = 48

Third term = 48 × 4 = 192

Fourth term = 768

Learn more about pattern on:

brainly.com/question/27033681

#SPJ1

Answer: x =168

Step-by-step explanation:I think it would be 80 plus 88 so its 168.  

Answer:

Step-by-step explanation:

Let the number be x

by given condition,

4x = (x)² - 21

4x = x²- 21

0 = x² - 4x - 21

0 = x² - 7x + 3x - 21

0 =  x ( x-7) + 3 ( x - 7)

0 = (x+3)(x-7)

hence

x + 3 =0.....

x = -3---------1

x - 7 = 0

x = 7 ------------2

we got value of x from 1 and 2.. but the question says positive value of x.

hence, x = 7 is the required value of x.

Answer:

false

Step-by-step explanation:

The statement "Construct validity ensures that the measure includes an adequate and representative set of items." is true because researchers can determine the extent to which a measure has construct validity and whether it includes an adequate and representative set of items.

Construct validity is established by accumulating evidence through various means. One way to establish construct validity is by examining the content of the measurement tool. This involves carefully selecting items that represent the construct of interest.

In mathematical terms, we can think of construct validity as a process of creating a mathematical model that accurately reflects the construct being measured. This model should include a comprehensive set of items that adequately represent the construct.

In practice, researchers employ statistical techniques such as factor analysis to examine the relationships between the items and the construct.

Construct validity also involves assessing the convergent and discriminant validity of the measure. Convergent validity refers to the degree to which different items measuring the same construct are positively related to each other.

To know more about validity here

https://brainly.com/question/29808164

#SPJ4

If lisa is on her way home in her car, she has driven 24 miles so far, which is three-fourths of the way home, Lisa's total drive is 32 miles.

Let's represent the total length of Lisa's drive as x. We know that she has driven 24 miles so far, which is three-fourths of the total length. We can write this information as:

24 = (3/4) x

To find x, we need to isolate it on one side of the equation. We can start by multiplying both sides by 4/3 to get rid of the fraction:

24 * (4/3) = x

Simplifying, we get:

32 = x

We can say that Lisa has already driven 24 miles, which is three-fourths of the total distance. To find the total distance, we use the equation 24 = (3/4) x, where x represents the total distance.

To solve for x, we multiply both sides of the equation by 4/3 to cancel out the fraction, giving us 32 = x. Therefore, Lisa's total drive is 32 miles.

To learn more about length click on,

https://brainly.com/question/15470501

#SPJ4

Answer:

1 and 5/10 or 1 and 1/2

Step-by-step explanation:

5 and 3/10 - 3 and 4/5 -

\(\frac{53}{10}\)  - \(\frac{19}{5}\)

=\(\frac{15}{10}\)

1 and 5/10 or 1 and 1/2