Jalen and his 2 brothers each ate 3/4 of a cupcake. How many cupcakes did they eat altogether?
2 cupcakes
1 1/4 cupcakes
2 1/4 cupcakes
2 3/4 cupcakes

a. Using the Empirical Rule, we can say that 95% of NBA point guards are between approximately 67.18 inches and 82.02 inches tall.

b. In order to use the Empirical Rule, we assume that the histogram of NBA point guards' average heights is shaped like a normal distribution (bell-shaped).

a. Using the Empirical Rule, we can determine the range within which 95% of NBA point guards' heights would fall. According to the Empirical Rule, for a normally distributed data set:

- Approximately 68% of the data falls within one standard deviation of the mean.

- Approximately 95% of the data falls within two standard deviations of the mean.

- Approximately 99.7% of the data falls within three standard deviations of the mean.

Since the average height of NBA point guards is 74.6 inches with a standard deviation of 3.71 inches, we can use this information to calculate the range:

Mean ± (2 * Standard Deviation)

74.6 ± (2 * 3.71)

The lower bound of the range would be:

74.6 - (2 * 3.71) = 74.6 - 7.42 = 67.18 inches

The upper bound of the range would be:

74.6 + (2 * 3.71) = 74.6 + 7.42 = 82.02 inches

Therefore, using the Empirical Rule, we can say that 95% of NBA point guards are between approximately 67.18 inches and 82.02 inches tall.

b. In order to use the Empirical Rule, we assume that the histogram of NBA point guards' average heights is shaped like a normal distribution (bell-shaped). This means that the data is symmetrically distributed around the mean, with the majority of values clustering near the mean and fewer values appearing further away from the mean.

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Answer:

23%

Step-by-step explanation:

Step 1. Find increase of price amount

18.75 - 15.25 = 3.50

Step 2. Find the percentage increase

- Since we are finding the percent increase, we know that we need to find 3.50 is ____% of 15.25. We can simply do 3.50/15.25, which can be simplified to approximately 0.23.

- Note that percentage = 100 times decimal

100 x 0.23 = 23

The answer is 23%

Hope this helps :)

Have a nice day!

Answer: $1150

Step-by-step explanation:

Simple interest is calculated as:

= Principal × Rate × Time

where,

Principal = $2000

Rate = 5.75%

Time = 10

Interest = 2000 × 5.75% × 10

= 2000 × 0.0575 × 10

= 1150

The amount earned will be $1150.

Answer: Tax(240), Total cost(6240)

Step-by-step explanation:

6000 x .04 =240

240 +6000 = 6240

The probability of a lion living more than 10.1 years is approximately 1 - 0.1587 = 0.8413, or 84.13% (rounded to the nearest hundredth).

To use the empirical rule, we first need to convert the value of 10.1 years into a z-score:

z = (x - μ) / σ

where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

z = (10.1 - 12.5) / 2.4

z = -1.00

Using the empirical rule, we know that approximately:

68% of the data falls within one standard deviation of the mean

95% of the data falls within two standard deviations of the mean

99.7% of the data falls within three standard deviations of the mean

Since we want to estimate the probability of a lion living more than 10.1 years, we need to find the area under the normal curve to the right of this value. This is equivalent to finding the area to the left of the z-score of -1.00 (since the standard normal distribution is symmetric).

From a standard normal distribution table or calculator, we can find that the area to the left of z = -1.00 is approximately 0.1587.

Therefore, the probability of a lion living more than 10.1 years is approximately 1 - 0.1587 = 0.8413, or 84.13% (rounded to the nearest hundredth).

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Answer:  Inverse:  y = 60/x

Step-by-step explanation:

Inverse, since y goes down as x goes up.

y=60/x is the only inverse function available, so do a quick calculation to see if (60/x) always equals the y value in the table:

x y    y=60/x

2 30       30

5 12       12

12  5        5

20   3        3

y=60/x gives the correct values of y for each x.

Answer:

Equivalent

Step-by-step explanation:

The equation is equivalent because they are just written the other way around although if you were to rewrite them both they would both be 9x+7

Expressions 9x+7 and 7+9x are equivalent and the equation has infinitely many solutions.

An expression is combination of variables, numbers and operators.

The expressions 9x+7 and 7+9x are equivalent because they have the same terms, although the order of the terms is different.

Let us check their equivalence.

9x+7 = 7+9x (commutative property of addition)

9x = 9x (subtract 7 from both sides and subtract 9x from both sides)

Both expressions simplify to the same thing, which means they are equivalent.

In terms of an equation, if we set these two expressions equal to each other, we get:

9x+7 = 7+9x

Simplifying this equation gives:

9x - 9x = 7 - 7

0 = 0

This means that the equation has an infinite number of solutions, since any value of x will satisfy.

Hence, expressions 9x+7 and 7+9x are equivalent and the equation has infinitely many solutions.

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Answer:

36

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

4×9=36

36÷2=18

more words because I need more characters

Answer:

Its b on edge

Step-by-step explanation:

yes

The Triangle TSR ≅ QRS by AAS congruence, the correct option is B.

A triangle is a polygon with three sides, vertices and three angles.

The triangle TSR and QRS are right-angle triangles, in a right angle triangle one of the angle is equal to 90 degree,

'These triangles have to be proved congruent,

They both have the right angle.

The measure of Angle T = Angle Q,

They both have a common side,

So, they both are congruent by AAS congruence theorem.

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Using the secant method, the positive root of the equation x³ - 15x² + 62x - 48 is approximately 1.

To find the positive roots of the equation x³ - 15x² + 62x - 48 using the secant method, we need to start with two initial guesses, x₀ and x₁, such that f(x₀) and f(x₁) have opposite signs.

Let's begin the iterations:

1. Choose an initial guess, x₀ = 0, and calculate f(x₀):

  f(x₀) = (0)³ - 15(0)² + 62(0) - 48 = -48

2. Choose a second initial guess, x₁ = 1, and calculate f(x₁):

  f(x₁) = (1)³ - 15(1)² + 62(1) - 48 = 0

3. Calculate the next approximation, x₂, using the formula:

  x₂ = x₁ - f(x₁) * ((x₁ - x₀) / (f(x₁) - f(x₀)))

Substituting the values:

  x₂ = 1 - 0 * ((1 - 0) / (0 - (-48)))

  x₂ = 1

4. Update the values of x₀ and x₁:

  x₀ = x₁

  x₁ = x₂

5. Repeat steps 2-4 until convergence is achieved.

  - Calculate f(x₁):

    f(x₁) = (1)³ - 15(1)² + 62(1) - 48 = 0

Since f(x₁) = 0, we have found a root.

6. Round the root to the nearest whole number:

  x₁ ≈ 1

Therefore, the positive root of the equation x³ - 15x² + 62x - 48 is approximately 1.

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Answer:

it is d i took the quiz

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

i took the quiz

Answer:

$16.95 per hour

Step-by-step explanation:

11.30 x 1.5 = 16.95

Helping in the name of Jesus.

Answer: $16.95

Step-by-step explanation: 11.30 x 1.5 = 16.95

To calculate the sample variance for the given data, we need to find the average of the squared differences between each data point and the mean.

The sample standard deviation is the square root of the variance, and the range is the difference between the maximum and minimum values.Step 1: To calculate the sample variance, we start by finding the mean (average) of the data. Adding up all the values and dividing by the number of data points, we get (-11 + 6 + 5 + 10 + 14) / 5 = 2.8. Next, we find the squared differences between each data point and the mean, and then calculate their average. The squared differences are (-11 - 2.8)^2, (6 - 2.8)^2, (5 - 2.8)^2, (10 - 2.8)^2, and (14 - 2.8)^2. The sum of these squared differences is 632.8. Dividing this sum by the number of data points minus one (n - 1) gives us the sample variance. In this case, the variance is 632.8 / 4 = 158.2, rounded to one decimal place.

Step 2: The sample standard deviation is the square root of the variance. Taking the square root of 158.2, we get the standard deviation: √158.2 ≈ 12.6, rounded to one decimal place. This represents the dispersion or spread of the data points around the mean.

Step 3: The range is calculated by finding the difference between the maximum and minimum values in the dataset. In this case, the maximum value is 14, and the minimum value is -11. Therefore, the range is 14 - (-11) = 25. The range provides a measure of the spread of the data from the lowest to the highest value, indicating the total span of the dataset. In summary, the sample variance is approximately 158.2, the sample standard deviation is approximately 12.6, and the range is 25 for the given data.

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The linear function that describe the situation is; 3730 = 900 + 370x.

If a variable is taking its values independently of any visible direct cause, then that variable is called independent variable.

The variables who take their values based on some other variables' values are called dependent variables.

Given; The cost of leasing a car is $900 for the down payment and processing fee plus $370 per month.

We need to find For how many months can you lease the car with $3730.

Let x be the months.

The equation for the linear function;

3730 = 900 + 370x

Therefore, the linear function that describe the situation is; 3730 = 900 + 370x.

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Answer:

a. triangle DEF's lines are all 3 times more than triangle ABC

b. triangle DEF's lines are all 3 times more than triangle ABC

c. 2.5 times 2 = 5

I hope u can elaborate a bit more :)

The Actual Distance between City C and City D is 350.01 miles.

Given that the distance between City A and City B is 250 miles.

Now in map this distance between City A and City B is represented by 2.2 feet.

So, 2.2 feet in map = 250 miles in actual

1 feet in map = 250/2.2 miles in actual = 113.64 miles in actual

Therefore, 1 feet in map = 113.64 miles in actual (Rounding off up to 2 decimals)

Again given that, the distance between City C and City D in map is 3.08 feet.

Actual distance between City C and City D = 3.08*113.64 = 350.01 miles.

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The rule of 72 is a rule of thumb that is used to determine the doubling time for an investment given the annual interest rate.

The equation Miguel needs to set up is r = 72/16.

The interest rate is 4.5%.

The rule of 72 is used to determine the time it would take an investment to double in value. The doubling time is determined by dividing 72 by the interest rate.

Number of years it would take an investment to double = 72 / interest rate

n = 72 / r

r = 72 / n

72 / 16 = 4.5%

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The equation for the transformed logarithm that passes through the points (3,0) and (0,2) can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants to be determined.

To find the equation for the transformed logarithm, we need to use the given points (3,0) and (0,2) to determine the values of a, b, h, and k. Let's start with the point (3,0). Plugging the x-coordinate (3) into the equation, we have:

0 = -b * log(base a)(3 - h) + k

Next, we'll use the point (0,2) to obtain another equation. Plugging the x-coordinate (0) into the equation, we get:

2 = -b * log(base a)(0 - h) + k

Simplifying these equations, we have a system of equations to solve for a, b, h, and k. However, since the equation involves a logarithm, we need more information to determine the specific values of a, b, h, and k.The transformed logarithm function includes transformations such as vertical stretches/compressions (b), horizontal shifts (h), and vertical shifts (k). Without more specific information about these transformations or the base of the logarithm, it is not possible to determine the equation uniquely.

In general, the equation for a transformed logarithm can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants determined by the specific transformations applied to the logarithm function. It's important to have additional information or instructions to determine the values of a, b, h, and k and provide an equation that accurately represents the given transformed logarithm.

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Answer: Dog show 1 was a dog show for smaller dogs while dog show 2 was a dog show for larger dogs.

Step-by-step explanation:

Answer:

ইহেবে জেজে জেহব ইঞ্জিন জেবি জেজেবেজে jeiehbbr রুরুরব এভে

Answer:

27

Step-by-step explanation:

264/30=8.8

8.8*3=26.4 there cannot be a fraction of a person, unless you're a serial killer, so you'd round it up to 27, or 26. Whichever goes with what you've been learning.

The mean of the distribution of sample means for samples of size 25 is μₓ = μ = 14.

The central limit theorem implies that the distribution of the sample means will be roughly normally distributed if you have a population with mean μ and standard deviation σ and take sufficiently enough random samples from the population with replacement. This holds as long as the sample size is sufficient (often n > 30), regardless of whether the source population is normal or skewed. The  Theorem is valid even for samples less than 30 if the population is normal.

Using the population's random samples as a source, we may calculate:

The mean of the sample means μₓ = μ, and

the standard deviation of the sample means σₓ = σ/√n.

In the question, the population is normally distributed. Thus, we can use the central limit theorem, which gives that the mean of the sample means: μₓ = μ, making the mean of the distribution of sample means for samples of size 25 = μ = 14.

Thus, the mean of the distribution of sample means for samples of size 25 is μₓ = μ = 14.

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Answer:

Step-by-step explanation:

4. (6^10)^-7 is when the exponents should be multiplied

   answer is B

5. (7^3)^-2 = (7^-6)

     1/7^6 = 1/(7x7x7x7x7x7)

answer is A

2. 11^-4/11^8= 1/11^(8+4) = 1/11^12

   answer is A

3. (2^5/3^2)^4= 2^20/3^8

   answer is A

Answer:

the answer is what the other person said lol

Step-by-step explanation:

the equation of the line that has a slope of 1/5 and passes through (-5, -6) is: y = 1/5x - 5.

Given that the line passes through (-5, -6), and has a slope (m) = 1/5, to find the equation of the line, do the following:

Substitute (x, y) = (-5, -6) and m = 1/5 into y = mx + b to find the value of b:

-6 = 1/5(-5) + b

-6 = -1 + b

Add 1 to both sides

-6 + 1 = -1 + b + 1

-5 = b

b = -5

Substitute m = 1/5 and b = -5 into y = mx + b

y = 1/5x + (-5)

y = 1/5x - 5

Thus, the equation of the line that has a slope of 1/5 and passes through (-5, -6) is: y = 1/5x - 5.

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Answer:

See below.

Step-by-step explanation:

(2,1),(7,4)

4-1=3

7-2=5

3/5 is the slope.

-hope it helps

Answer:

slope = \(\frac{3}{5}\)

Step-by-step explanation:

calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (2,1) and (x₂, y₂ ) = (7, 4) ← 2 points on the line

m = \(\frac{4-1}{7-2}\) = \(\frac{3}{5}\)

Answer:

Top TUV

Bottom: UV, UT, TV

Step-by-step explanation:

The scale factor from the larger to the smaller is 3/4

24(3/4) = 18

12(3/4) = 9

16(3/4) = 12

Using divisiblity rule ,

total six uphill integers are divisible by 15 .

First, we know the number must end in either 5 or 0 in order to satisfying being divisible by 15. but the number can't end in 0 because it's not strictly greater than the previous digits. Thus, our number must end in 5. Now, we consider cases for the number of digits.

Case 1: one digit, no numbers work, thus we get 0 number.

Case 2: Two digits, we have the numbers 15,45and 75, but 75 isn't an uphill number, thus we get 2 numbers.

Case 3: Three digits, we have the numbers 135, 345, thus we get 2 numbers.

Case 4: Four digits, we have the numbers 1235, 1245 and 2345, but only 1245 satisfies this condition, thus we get 1 number.

case 5: five digits, we have only 12345, thus we get 1 number.

adding all possible numbers we get , 0+2+2+1+1 = 6

Hence, 6 uphill integers are divisible by 15 .

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The interest earned by Mrs Grey over the 7 years is R5670. The cost of the television set 5 years ago was R20,600.

4.1.1 To calculate the interest earned by Mrs Grey over 7 years, we use the formula for simple interest: Interest = Principal x Rate x Time. Mrs Grey's principal is R18,000 and the rate is 4.5% per annum. The time is 7 years. Using the formula, we can calculate the interest as follows:

Interest = R18,000 x 0.045 x 7 = R5670. Therefore, Mrs Grey has earned R5670 in interest over the 7 years.

4.1.2 To calculate the cost of the television set 5 years ago, we need to account for the inflation rate. The cost of the television set now is R27,660. The average rate of inflation over the last 5 years is 6.7% per annum. We can use the formula for compound interest to calculate the original cost of the television set:

Cost 5 years ago = Cost now / (1 + Inflation rate)^Time

Cost 5 years ago = R27,660 / (1 + 0.067)^5 = R20,600. Therefore, the cost of the television set 5 years ago was R20,600.

4.1.3 To determine the rate of simple interest Mrs Grey should have invested her money at 7 years ago, we can use the formula for interest: Interest = Principal x Rate x Time. We know the principal is R18,000, the time is 7 years, and the interest earned is R5670. Rearranging the formula, we can solve for the rate:

Rate = Interest / (Principal x Time)

Rate = R5670 / (R18,000 x 7) ≈ 0.0448 or 4.48% per annum. Therefore, Mrs Grey should have invested her money at a rate of approximately 4.48% per annum to have earned enough interest to purchase the television set using only her original investment and the interest earned over the 7 years.

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Answer:

x=2

Step-by-step explanation:

x^3=8

x=2  (take the cubed root of both sides)

This can be solved by adding 8 to both sides, then taking the cubed root of both sides

After the partitioning algorithm has completed, the low partition would be (27, 56, 46, 57) and the high partition would be (99, 77, 90).

Explanation: In the quicksort algorithm, partitioning is an important step. The partition algorithm in quicksort chooses an element as a pivot element and partition the given array around it.

In this way, we will get a left sub-array that consists of all elements less than the pivot, and the right sub-array consists of all elements greater than the pivot. If the pivot element is selected randomly, then quicksort performance would be O(n log n) in the average case.

In the given question, the given numbers are (27, 56, 46, 57, 99, 77, 90), and the pivot element is 77.To partition this array, the following steps are followed.

1. The left pointer will point at 27, and the right pointer will point at 90.

2. Increment the left pointer until it finds an element that is greater than or equal to the pivot element.

3. Decrement the right pointer until it finds an element that is less than or equal to the pivot element.

4. If the left pointer is less than or equal to the right pointer, swap the elements of both pointers.

5. Repeat steps 2 to 4 until left is greater than right.

In the given question, the left pointer will point at 27, and the right pointer will point at 90. Incrementing the left pointer will find the element 56, and the decrementing the right pointer will find the element 77.

As 56 < 77, swap the elements of both pointers. In this way, partitioning continues until left is greater than right. Now, the array will be partitioned into two sub-arrays.

The left sub-array will be (27, 56, 46, 57), and the right sub-array will be (99, 77, 90).

So the low partition is (27, 56, 46, 57), and the high partition is (99, 77, 90).

Therefore, the answer is: low partition (27, 56, 46, 57) and high partition (99, 77, 90).

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