Here are the ingredients needed to make 8 pancakes.
250 ml milk
1 egg
140 g flour
5g butter

Craig makes 12
pancakes.
Work out how much
butter he needs?

The mean and variance of a binomial random variable with n trials and success probability p are np and np(1-p), respectively.

The mean and variance of a binomial random variable with n trials and success probability p are given by the following formulas:

Mean = np

Variance = np(1-p)

Where n is the number of trials and p is the probability of success in each trial.

To understand this better, let's consider an example. Suppose we conduct an experiment where we toss a coin 10 times and we want to know the probability of getting exactly 5 heads.

This is a binomial experiment because there are only two possible outcomes (heads or tails) and each trial is independent of the others. The probability of getting a head on any given trial is 0.5.

Using the formula for the mean, we get:

Mean = np = 10 x 0.5 = 5

This means that on average, we can expect to get 5 heads out of 10 tosses.

Using the formula for the variance, we get:

Variance = np(1-p) = 10 x 0.5 x (1-0.5) = 2.5

This means that the spread of the distribution is relatively large, indicating that there is a significant amount of variability in the number of heads we can expect to get.

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The store has 16 board games

What are equivalent ratios?

The ratios that are same when compared are called equivalent ratios. The equivalentity of two or more ratios can be determined by comparing them to one another. For instance, 1:2 and 2:4 have the same ratio.

Let x = number of legos

Let y =  number of board games

Given ratio: 9:6= 9/6

x/y = 9/6

substitute x=24

24/y=9/6

Do cross multiplication

(6*24)/9=y

16=y

or

y=16

So, the store has 16 board games

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Answer:

It is very ez

Step-by-step explanation:

when there is a right angled triangle the arrow the 90° is pointing at is the hypotenuse. Hope it helped.

Answer:

Piece-Wise Function

Linear Function

Neither one of these always looks like a parabola.

Answer:

33

Step-by-step explanation:

25/30=45/x

x=63

63-30=?

?=33

Answer:

100 miles per hour

Step-by-step explanation:

Step 1:

200 ÷ 2 = 100

Answer:

100 MPH

Hope This Helps :)

We have proved that triangle ABC is congruent to triangle ADC using the given statements and the Angle-Side-Angle (ASA) congruence criterion.

To prove that triangle ABC is congruent to triangle ADC, we need to show that they have three congruent sides or two congruent sides and a congruent included angle.

Given:

CA bisects angle ZBAD. This means that angle CAB is congruent to angle DAC.

AB is perpendicular to BC. This means that angle ABC is a right angle.

AD is perpendicular to DC. This means that angle ADC is a right angle.

To prove:

Triangle ABC is congruent to triangle ADC.

Proof:

From statement 1, we have angle CAB congruent to angle DAC (Given).

From statement 2, we have angle ABC is a right angle (Given).

From statement 3, we have angle ADC is a right angle (Given).

Since angle ABC and angle ADC are both right angles, they are congruent.

By Angle-Side-Angle (ASA) congruence, we have angle CAB congruent to angle DAC, angle ABC congruent to angle ADC, and side CA is shared.

Therefore, by ASA congruence, triangle ABC is congruent to triangle ADC.

Hence, we have proved that triangle ABC is congruent to triangle ADC using the given statements and the Angle-Side-Angle (ASA) congruence criterion.

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A. If the bank had compounded the interest quarterly for the three years, the interest rate would be divided by 4 (since there are 4 quarters in a year) and the number of compounding periods would be multiplied by 4. This is because the interest would be calculated and added to the account balance every quarter, rather than just once a year.

B. To represent the account balance if interest is compounded quarterly, we need to use the formula for compound interest with quarterly compounding:

A = P(1 + r/n)^(nt)

where A is the account balance, P is the principal (initial deposit), r is the annual interest rate (8.5%), n is the number of times the interest is compounded per year (4 for quarterly compounding), and t is the number of years (3).

Substituting the given values into the formula, we get:

A = 1500(1 + 0.085/4)^(4×3)

A = 1500(1.02125)^12

A ≈ $1,969.36

Therefore, the new expression for the account balance, in dollars, if interest is compounded quarterly is:

$1,969.36 = 1500(1 + 0.085/4)^(4×3)

Answer:

Five million four thousand three hundred  in standard form is

5004300

Step-by-step explanation:

The order of the numbers from the greatest to the least is

|-20| > |12.3| > |8| > |-6| > |-4| > |2 3/10|

From the question, we are to order the given numbers from the greatest to the least in magnitude

The given numbers are

|-20|, |-4|, |-6|, |8|, |2 3/10|, |12.3|

Since the modulo sign is included, the negative signs do not take effect.

Hence, the order of the numbers from the greatest to the least is

|-20| > |12.3| > |8| > |-6| > |-4| > |2 3/10|

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Answer:

1 1/3 feet long

Step-by-step explanation:

Answer:

Each of the seven smaller boards will be 1.3 feet long

Step-by-step explanation:

We must divide 9 1/3 by 7

9 1/3 / 7 =  1.333286

We now have to round to the nearest tenth which would give us:

1.3

So our final answer would be 1.3

Answer:

60 degrees

Step-by-step explanation:

40 degrees + 2y+20 degrees makes a straight angle. (from alternate interior angles postulate)

Thus, 2y+60 degrees = 180, or 2y = 120 degrees.

This means y = 60 degrees

In the graph showing fuel consumption for a car during a test run the correct statement is

The information given in the problem will help to find the equation of the graph in the form

y = mx + c

definition of variable to suit the problem

y = output variable = number of gallons

m = slope

x = input variable = number of miles

c = y intercept

The slope

= (3.5 - 0) / (73.5 - 0)

= 0.05

the y intercept is 0

the equation of the line is y = 0.05x

Only option the last option fits the equation as shown

number of gallons = 0.05 * number of miles

= 0.05 * 84 miles

= 4.2 gallons

= 4 gallons

hence the last option is the correct choice

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Answer:

I think its geometric

Step-by-step explanation: it muiltiplying by 5

Answer:

Geometric.

It fits all the criteria to be a geometric sequence, not an arithmetic sequence.

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

\(2x - 5 + 45 = 180 \\ 2x + 40 = 180 \\ 2x = 180 - 40 \\ 2x = 140 \\ \frac{2x}{2} = \frac{140}{2} \\ x = 70\)

Step-by-step explanation:

Hi, these are co interior angles which implies that their sum is equal to 180.

Hope that this is helpful.

Have a great day.

Answer:

9/6 or 1 1/2

Step-by-step explanation:

Make the denominators the same...

5 x2     ----> 10/6 -------> 10/6 -1/6 = 9/6

3 x2

Step-by-step explanation:

FÓRMULA:

\(144 m^{2}\) = b(8 m)

SE DESPEJA

b = \(144 m^{2}\)/8 m = 18 m

The measurement of a quantity requires units to be defined. The 6 ounce of raisins is equal to 171100 milligrams of it.

A measurement unit is unit to measure different quantities such as mass, length and time.

The measurement unit of one quantity can be converted into the other by multiplying it with a certain number.

Given that,

The amount of raisins is 6 ounces.

Since One ounce is equal to 23.85 grams,

6 ounce converted in grams equals 6 × 28.35 = 171. 10 grams

Now, 1 gram = 1000 milligrams.

Therefore, 171. 10 grams = 171.10 × 1000 milligrams

                                         = 171100 milligrams.

Hence, 6 ounces of raisins is equivalent to 171100 milligrams.

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Answer:

A recipe calls for 170,100 milligrams of raisins.

Step-by-step explanation:

I took the exam and got it right

Answer:

Mean is greater

Step-by-step explanation:

For a skewed distribution, then the tail is longer to one side from the center than to the other. In a right skewed distribution, the tail is longer to the right.

When a distribution is skewed, the mean will be closer to the tail Than the median. Therefore. For a right skewed histogram, the mean is closer to the tail of the histogram and hence closer to the right. Once this happens, values closer to the right of a distribution are higher (number line). Thus the mean will be greater than the median.

Answer:

No Solution

Step-by-step explanation:

1) Since 4e - 6 = 6 is false, there is no solution.

Result: \(No\) \(Solution\)

Answer: 0.512

Step-by-step explanation:

The probability that a randomly selected Saturday customer ordered a hot drink and added cream to the drink is 0.512

It is a branch of mathematics that deals with the occurrence of a random event.

Given that Students who work at a local coffee shop recorded the drink orders of all the customers on a Saturday. They found that 64% of customers ordered a hot drink, and 80% of these customers added cream to their drink.

Let the number of total customers visited on the day be 100

Therefore, customers ordered a hot drink = 64% of 100 = 64

Customers added cream to their drink = 80% of 64 = 51.2

P(randomly selected Saturday customer, ordered a hot drink and added cream to the drink) = 51.2/100 = 0.512

Hence, the probability that a randomly selected Saturday customer ordered a hot drink and added cream to the drink is 0.512

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Answer:

\(y < \frac{1}{3}x + 2\\y \leq -2x + 2\)

Step-by-step explanation:

The equation of a line can be simply found via slope-intercept form-y = mx+b,

where m is the slope and b is the y-intercept.

To determine the variance of a geometric random variable X with parameter p, we can use the conditional variance formula.

The formula for the variance of a geometric random variable is given by:

Var(X) = (1 - p) / (p^2)

Where p is the parameter of the geometric distribution, representing the probability of success on each trial.

This formula assumes that the random variable X represents the number of trials required until the first success in a sequence of independent Bernoulli trials, where each trial has a probability of success p.

By plugging in the value of p into the formula, you can calculate the variance of the geometric random variable X.

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This is an example of substitution because you have substituted the 'y' variable to find the 'x' variable.

Hoped this helped.

\(BrainiacUser1357\)