Alex, Isaac and Mitch shared a cake. Alex ate 2\5 of the cake, Isaac ate 1/3 of the cake and Mitch ate the rest. What fraction of the cake dis Mitch ate?

I don't know the answer to this question but I thought I learned algebra so my friend asked me what y=mx+b was and I said it was a curved line. am i correct?

Answer:

B

Step-by-step explanation:

The first thing we need to do here is to find the probability value that corresponds to z-score of 2.25

While this is traceable using the normal distribution table, we can easily find it using the Normal distribution function in excel

By using this, we get the probability P value of the z score 2.25 to be 0.012224

Now, before we can accept or reject H0, we need to compare the value of P to the significance level alpha

If P ≤ alpha, we reject the null hypothesis H0

At alpha = 0.05, p value is lesser , we reject the null hypothesis.

At alpha P 0.01, p value is greater so we accept null hypothesis

This shows that the finding is significant at alpha = 0.05 (since we rejected null hypothesis) but not at alpha = 0.01(since we accepted null hypothesis)

the The finding should be option b. The finding is significant at α = 0.05 but not at α = 0.01.

Since the z test statistic is found to be 2.25.

Now the P value of the z score 2.25 to be 0.012224

In the case when P ≤ alpha, we reject the null hypothesis H0

Now

At alpha = 0.05, the p-value is lesser, we reject the null hypothesis.

At alpha P 0.01, p value is more so we accept null hypothesis

Therefore, the option b is correct.

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Answer:

Proved See below

Step-by-step explanation:

Man this one is a world of its own :D Just a quick question are you a fellow Add Math student in O levels i remember this question from back in the day :D Anyhow Lets get started

For this question we need to know the following identities:

\(1+tan^{2}x=sec^2x\\\\1+cot^2x=cosec^2x\\\\sin^2x+cos^2x=1\)

Lets solve the bottom most part first:

\(1-\frac{1}{1-sec^2x} \\\\\)

Take LCM

\(1-\frac{1}{1-sec^2x} \\\\\frac{1-sec^2x-1}{1-sec^2x} \\\\\frac{-sec^2x}{1-sec^2x} \\\\\frac{-(1+tan^2x)}{-tan^2x}\)

now break the LCM

\(\frac{-1}{-tan^2x}+\frac{-tan^2x}{-tan^2x}\\\\\frac{1}{tan^2x}+1\\\\cot^2x+1\)

because 1/tan = cot x

and furthermore,

\(cot^2x+1\\cosec^2x\)

now we solve the above part and replace the bottom most part that we solved with \(cosec^2x\)

\(\frac{1}{1-\frac{1}{cosec^2x} } \\\\\frac{1}{1-sin^2x} \\\\\frac{1}{cos^2x}\\\\sec^2x\)

Hence proved! :D

Answer:

2 codes are possible

Step-by-step explanation:

4 6  

2571

0389

There are only 10 digits and you can only use the digits onces so the answer would be 2 codes are possible.

The number of possible codes will be 5,040.

If each digit can be used only once, then the number of possible access codes is calculated as follows:

The first digit can be any of the 10 digits (0 through 9).

The second digit can be any of the remaining 9 digits (since one digit has already been used).

The third digit can be any of the remaining 8 digits.

The fourth digit can be any of the remaining 7 digits.

Therefore, the total number of possible access codes is:

10 x 9 x 8 x 7 = 5,040

So, there are 5,040 possible access codes if each digit can be used only once and not repeated.

Since there are 200 employees, the company has enough unique codes for each employee for 25 months. After that, the codes will have to be repeated, which may compromise the security of the system.

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Carla's behavior of putting in extra practices to become faster can be seen as an example of (Option A.) compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.

Carla's behavior of putting in extra practices to become faster can be seen as an example of compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.

By engaging in extra practices, Carla is attempting to compensate for her lack of speed and improve her performance. This is different from rationalization, which is the act of making excuses for one's behavior, or from regression, which is the act of reverting to a younger age in response to a stressful situation.

Finally, displacement is the act of redirecting one's emotions or anger onto another person or object.

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Answer:

You can make 1200000000000 burgers with a billion cows

Step-by-step explanation:

1200X1000000000=1200000000000

Answer:

The answer is five

Step-by-step explanation:

2a + b = 5 because 2*4 = 8 and 8 - 3 equals five.

Answer:

5

Step-by-step explanation:

Plug in the given numbers: 2(4)+(-3)

Perform Multiplication: 8+(-3)

Cancel out signs: 8-3

Perform Subtraction: 5

Answer:180

Step-by-step explanation:

hope this helps

Answer:

0.8 mm

Step-by-step explanation:

Given that you require the actual size.

The ant has been magnified by 15 X

To find the actual size divide magnified size by 15

actual size = 12 mm ÷ 15 = 0.8 mm

The number line shows the value of 5 - (-8) = 13.

Addition:

Subtraction:

Here the given operation is subtraction. Where a subtrahend is a negative number i.e., -8.

Step1: Start from '5' on the number line.

Step2: Since the subtrahend is a negative number, move to the right side on the number line from '5'.

Step3: Thus, the number obtained on the line is 13.

Step4: Algebraically the result is 5 - (-8) = 5 + 8 = 13.

The number line for this operation is shown below.

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Answer:

(3,-4)

Step-by-step explanation:

QI=(+,+)

QII=(-,+)

QIII=(-,-)

QIV=(+,-)

Answer:

(3,-4)

Step-by-step explanation:

you are roating the triangle down (across the y-axis) and then moving to the right (across the x-axis). I hope this helps!

Answer:

D

Step-by-step explanation:

I hope this helps!!! Please mark me brainliest!!

Answer:

There are 68,640 different ways the runners can finish first, second, and third in the race.

Concept of Permutations

The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.

Brief Overview

Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.

Calculations

To calculate the total number of different ways, we multiply the number of choices for each position:

42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.

Concluding Sentence

Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.

The growth rate of the population is given by 14,000t, the population after 15 years is 1,975,000, the growth rate at t = 15 is 210,000, and it represents the rate at which the population is increasing at that specific point in time.

To find the growth rate of the population, we need to take the derivative of the population function P(t) with respect to t, which represents the rate at which the population is changing over time.

a) dP/dt = d/dt (400,000 + 7000t²)

= 0 + 2(7000)t

= 14,000t

The growth rate of the population is given by the derivative dP/dt, which is 14,000t.

b) To find the population after 15 years, we substitute t = 15 into the population function P(t).

P(15) = 400,000 + 7000(15)²

= 400,000 + 7000(225)

= 400,000 + 1,575,000

= 1,975,000

The population after 15 years is 1,975,000.

c) To find the growth rate at t = 15, we substitute t = 15 into the derivative dP/dt.

dP/dt (15) = 14,000(15)

= 210,000

The growth rate at t = 15 is 210,000.

d) The meaning of the growth rate at t = 15 (210,000) is that at that specific point in time, the population is growing at a rate of 210,000 individuals per year. This indicates how fast the population is increasing at that particular time.

Therefore, The growth rate of the population is given by 14,000t, the population after 15 years is 1,975,000, the growth rate at t = 15 is 210,000, and it represents the rate at which the population is increasing at that specific point in time.

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Step-by-step explanation:

Radius of the circle=8

We know that

\(\boxed{\sf Area=\pi r^2}\)

\( \sf \rightharpoondown \: area = \frac{22}{7} \times {8}^{2} \\ \sf \rightharpoondown \: \frac{22}{7} \times 64 \\ \sf \rightharpoondown \: \frac{22 \times 64}{7} \\ \sf \rightharpoondown \: \frac{1408}{7} \\ \sf \rightharpoondown \: 201.1units {}^{2} \)

\(\sf More\:to\:know\begin {cases}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}p\sqrt {4a^2-p^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {cases}\)

The probability of rolling a 6 with the red die, a 5 with the green die, and a 4 with the blue die at the same time is 1/216, or approximately 0.46%.

Assuming that each die is fair and that the outcome of rolling one die does not affect the outcome of rolling the others, the probability of rolling a 6 with the red die is 1/6, the probability of rolling a 5 with the green die is also 1/6, and the probability of rolling a 4 with the blue die is 1/6.

Since the three events of rolling each die are independent of each other, we can multiply their probabilities to get the probability of all three events happening at the same time, i.e., rolling a 6 with the red die, a 5 with the green die, and a 4 with the blue die:

Probability of rolling 6 with the red die = 1/6

Probability of rolling 5 with the green die = 1/6

Probability of rolling 4 with the blue die = 1/6

Probability of rolling 6 (R), 5 (G), 4 (B) at the same time = Probability of rolling R and G and B together = Probability of R × Probability of G × Probability of B

= 1/6 × 1/6 × 1/6 = 1/216

Therefore, the probability of rolling a 6 with the red die, a 5 with the green die, and a 4 with the blue die at the same time is 1/216, or approximately 0.46%.

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You have three dice: one red (R), one green (G), and one blue (B). When all three dice are rolled at the same time, calculate the probability of the following outcome: 6 (R), 5 (G), 4 (B)?

Answer:

y = 2.5x

Step-by-step explanation:

The equation representing direct proportion is

y = kx ← k is the constant of proportion

Here k = 2.5 , thus

y = 2.5x ← equation of proportion

Answer:

A

Step-by-step explanation:

what the other guy said

 x = 41/6 is value of x in transversal lines.

What are transversal lines?

 ( 12x + 1)° = 2

 2 = 83°

 ( 12x + 1)° = 83°

  12x° + 1° = 83°

12x = 83 - 1

12x = 82

 x = 82/12

 x = 41/6

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The measure angle EBF is (5b-24)°.

Adjacent angles are those angles that are always placed next to each other in such a way that they share a common vertex and a common side but they do not overlap each other.

Give that, m∠ABF =(7b-24)° and m∠ABE =2b°.

From the figure,

m∠ABF =m∠ABE + m∠EBF

(7b-24)°=2b° + m∠EBF

m∠EBF = 7b-24-2b

m∠EBF = (5b-24)°

Therefore, the measure angle EBF is (5b-24)°.

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Using the Binomial probability distribution,

The probability that exactly two customers in the sample will default on their payments is 0.31..

We have given that,

4% of total customers a mortgage company default on their payments .

The probability of success i.e number of customers default on their payments (p) = 4%

= 0.04

The probability of failure (q) = 1-p = 1-0.04 = 0.06

Total number of customers in sample (n) = 20

we have to find out the probability that exactly two customers in the sample will default on their payments.

Using the Binomial probability distribution,

P(X=x)= ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾

the required probability is P(X= 2 )

Now, P(X= 2) = ²⁰C₂(0.04)²(0.06)¹⁸

=> P(X=2) = 190 × 0.0016 × 1.0155 = 0.31

Hence, the required probability is 0.31

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The equation for the demand curve is Q = a - bP, where Q represents the quantity demanded, P represents the price of the product, a represents the intercept of the demand curve, and b represents the slope of the demand curve.

The equation for the demand curve is a fundamental concept in economics that helps us understand the relationship between the price of a product and the quantity of the product that consumers are willing to buy at that price.

The equation is typically expressed as:

Q = a - bP

The equation shows that as the price of a product increases, the quantity demanded decreases, and vice versa. This is known as the law of demand. It reflects the inverse relationship between price and quantity demanded.

The demand curve is downward sloping because of this inverse relationship. It slopes downwards from left to right, indicating that as the price decreases, the quantity demanded increases, and as the price increases, the quantity demanded decreases.

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Answer:

75.9550

Step-by-step explanation:

Answer:

40% and yes she can afford the boots

Step-by-step explanation:

just multyply 60 by 40% and you'll get $24

Same for the second question $75*32%=24

Answer:

181,050 pieces of paper.

Step-by-step explanation:

If she needs 3,550 copies of a 51 page document, you can easily solve this problem by multiplying the amount of copies needed by pages per copy. 3,550 x 51 is 181,050.

The equivalent expression for the indices is 17⁻⁷ × 17⁵ is  1/17²

Index is the power or exponent which is raised to a number or a variable e.g in number 3⁵, 5 is the index of 3. The 3 is called the base. The plural form of index is indices.

We have different  Laws of Indices, but the one applicable to this question is the product law and reciprocal law.

Product law: To multiply two variables or numbers with the same base, we need to add their powers and raise them to that base":   5² x 5³ = 5²⁺³ = 5 and  P⁴ + P⁶ = P¹⁰

Reciprocal Law: If the index is a negative value, then it can be shown as the reciprocal of the positive index raised to the same variable:

8⁻² = 1/8²   and b⁻⁶ = 1/b⁶      

Let's use the two laws to create an equivalent expression for 17⁻⁷ × 17⁵:

17⁻⁷ × 17⁵ = 17⁻⁷ ⁺ ⁵  = 17⁻²  = 1/17²

Therefore, the equivalent expression for 17⁻⁷ × 17⁵ is  1/17². The 1st option is the answer.

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Answer:

A=πr²

Step-by-step explanation:π

A=πr² if r=9

The area is ≈254.47

To radix sort the given list of integers in base 10, we can perform multiple passes of counting sort based on the digits from right to left. Here's the step-by-step process:

First sort:

Original list: 483 525 582 143 645 522

Counting sort based on the least significant digit (unit place):

143 522 483 582 645 525

Second sort:

Original list: 143 522 483 582 645 525

Counting sort based on the tens place:

143 522 525 582 645 483

Third sort:

Original list: 143 522 525 582 645 483

Counting sort based on the hundreds place:

143 483 522 525 582 645

The final sorted list is: 143 483 522 525 582 645

The time complexity of Quick sort depends on the partitioning scheme and the initial ordering of the elements. In the worst case scenario, when the array is already sorted or contains equal elements, Quick sort has a time complexity of O(n^2). This is because in each recursive call, the pivot chosen will always be the smallest or largest element, resulting in uneven partitioning.

In the given array A = {12, 8, 7, 4, 2, 6, 11}, making a call to Partition(A, 1, 7) means partitioning the array from the first element to the seventh element. The resulting sequence of numbers in A after the partition operation will depend on the chosen pivot. Since the pivot index is not specified, it is not possible to determine the exact resulting sequence without knowing the pivot selection mechanism.

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Answer:

Step-by-step explanation:

49     |     43    | 92

75     |     38    | 113

124   |     81     |  205

The z-score corresponding to a sample mean of 78 is -1.20 if distributed population with mu equal to 80 and sigma equal to 10.

Sample (n) = 36

Distributed population = 80

Sigma = 10

We can use the central limit theorem to determine the sampling distribution of the sample mean and normally distributed with a mean a standard deviation equal to the population standard deviation.

To calculate  the z-score to a sample mean of 78, the formula used here is

z = (x - μ) / (σ / √n)

z = (78 - 80) / (10 / √36)

z  = -2 / 1.67

z = -1.20

Therefore, we can conclude that the z-score corresponding to a sample mean of 78 is -1.20.

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