6. Debbie ate of a large brownie. Julian ate of a small brownie. Julian says, "I ate more than you because >"How could you change the problem so that Julian is correct? Explain.

The area of a regular hexagon = (3√3 / 2) × s²  Where, The apothem is a line drawn from the center of a polygon to the midpoint of one of its sides.

s = side of the hexagon.

Area of the hexagon = (3√3 / 2) × s² Area of hexagon with side 3 meters = (3√3 / 2) × 3²

= (3√3 / 2) × 9

= 4.5 × 9 × √3

= 40.5 √3 sq. meters

Hence, the area of the hexagonal planter is 40.5 √3 sq. meters A hexagon is a six-sided figure with six angles. A planter is shaped like a regular hexagon. It has six sides with a length of 3 meters each. The apothem is 5.2 meters long. The apothem is a line drawn from the center of a polygon to the midpoint of one of its sides.

The apothem divides the hexagon into six congruent triangles. Since the hexagon is regular, all six triangles are congruent. The formula for finding the area of a regular hexagon is as follows: Area of hexagon = (3√3 / 2) × s²Where, s is the length of the side of the hexagon. In this case, the side length is 3 meters. Thus, substituting s = 3 in the formula,

Area of hexagon = (3√3 / 2) × 3²

= (3√3 / 2) × 9

= 4.5 × 9 × √3

= 40.5 √3 sq. meters Therefore, the area of the hexagonal planter is 40.5 √3 sq. meters.

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Answer:  x = 1,  y = -1

Step-by-step explanation:

The elimination method is a technique for solving systems of linear equations.

1) 4x-6y=10

2) 9x+2y=7

in the second equation

it multiply with 3

then

3×(9x+2y=7)

= 27+6y= 21

We notice that the first equation has a 6y term and the second equation has a -6y term. These terms will cancel if we add the equations together—that is, we'll eliminate the x terms:

then add 1 + 2 equations

    4x-6y =  10 _____1)

   27+6y= 21   _____2)

then we will get

    31x+0  =  31

     31x= 31

     where x = 31/31= 1

          then x = 1

      if value of  x substitute in the equation ____1)

                           4x+6y =  10

                           4×1+6y =  10

                            6y = -6

                            y = -6/6

                             y = -1

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Answer:

45+n = 9 (8n+5)-3n

or, 45+n = 72n+45-3n

or, 45-45=72n-4n

or, 68n=0

or, n=0

Zelda can swim at a speed of 75 meters per minute in still water and the rate of the water current is 25 meters per minute.

Let's call Zelda's speed in still water "s" and the rate of the water current "c".

When swimming upstream, Zelda's speed relative to the ground is s - c. When swimming downstream, her speed relative to the ground is s + c.

We're told that Zelda can swim 50 meters per minute upstream, so we can write the equation:

s - c = 50

We're also told that she can swim twice as fast downstream, so:

s + c = 2(50) = 100

Now we have two equations with two variables. We can solve for s by adding the two equations together:

s - c = 50

s + c = 100

(s - c) + (s + c) = 50 + 100

2s = 150

s = 75

So Zelda can swim at a speed of 75 meters per minute in still water.

To find the rate of the water current, we can substitute s = 75 into either of the two equations we wrote earlier. Let's use the first one:

s - c = 50

75 - c = 50

c = 25

So the rate of the water current is 25 meters per minute.

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Answer:

Bottom left

Step-by-step explanation:

It covers the most points

Answer:

can you post a picture if you do i'll help u im very good with graphs but i need a picture :/

The variables of the test statistic may be determined to be \($s _1$\), \($s _2$\), \($n_ 1, n _2$\), t, which is the t - distribution test statistic, and \($x _1, x _2$\), which is the mean of the two samples.

When the variances of the two groups are not equal, pooled standard deviation estimations cannot be used. As an alternative, we must determine the standard error for each group separately. The variables of the test statistic may be determined to be \($s _1$\), \($s _2$\), \($n_ 1, n _2$\), t, which is the t - distribution test statistic, and \($x _1, x _2$\), which is the mean of the two samples.

The formula for this type of test statistic is given by -

\($t=\frac{x_1-x_2}{\sqrt{\frac{s_1^2}{n_1}+\frac{x_2}{n_2}}}$$\)

Here, the variables can be defined as below -

\($s_1^2, s_2^2=$\) variance of two samples

\($n_1, n_2=$\) respective sizes of the two samples

t = t - distribution test statistic

\($x_1, x_2=$\) Mean of the two samples

As a result, the variables of the test statistic can be determined to be \($s _1, s _2$\), which represents the variance of two samples, \($n _1, n _2$\), which represents the size of the two samples, t, which represents the t-distribution test statistic, and \($x _1, x _2$\), which represents the mean of the two samples.

The complete question is:

The formula for the test statistic used for a two sample test of means where the population variances are unknown and unequal is:

t = X1−X2√s12/n1+s22/n2X1-X2s12/n1+s22/n2

Match the variables to their description.

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To help you evaluate the function F(x) = [[x]] for the indicated values:

(a) f(4.1): To evaluate the function at this value, we need to find the greatest integer less than or equal to 4.1.

Since 4 is the greatest integer less than or equal to 4.1, f(4.1) = 4.

(b) f(4.9): Similarly, for 4.9, the greatest integer less than or equal to 4.9 is 4. So, f(4.9) = 4.

(c) f(-5.5): For -5.5, the greatest integer less than or equal to -5.5 is -6. Therefore, f(-5.5) = -6.

(d) f(11/2): Since 11/2 = 5.5, we need to find the greatest integer less than or equal to 5.5. The greatest integer less than or equal to 5.5 is 5, so f(11/2) = 5.

In summary:
a) f(4.1) = 4
b) f(4.9) = 4
c) f(-5.5) = -6
d) f(11/2) = 5

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sin (60° - 20)°

sin (40°)

Note that:

sin(A - B) = sinAcosB - cosAsinB

The given trigonometric expression is:

sin 60° cos 20° - cos 60° sin 20°

Applying the addition rule of trigonometry written above:

sin 60° cos 20° - cos 60° sin 20° = sin(60° - 20°)

This can also be written as sin (40°)

Answer:

x^4 n^4

Step-by-step explanation:

(-x)^4*n^4

4 is an even power and the minus sign disappears. 4 minus signs make a plus.

x^4 n^4

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\(( { - xn})^{4} = ({ - x})^{4} \times ({n})^{4} = \)

\(( { - 1})^{4} \times {x}^{4} \times {n}^{4} = {x}^{4} {n}^{4} \)

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The value of x should be less than 3.5.

Given that sides of a triangle are x cm, x + 3 cm and 10 cm. We need to find the lowest value of x,

Using the triangle inequality theorem,

The triangle inequality theorem states that, in a triangle, the sum of lengths of any two sides is greater than the length of the third side.

So,

x + x + 3 > 10

2x + 3 > 10

2x < 7

x < 3.5

Hence the value of x should be less than 3.5.

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The power of a statistical test is the probability that the test will correctly reject the null hypothesis when the alternative hypothesis is true.

The power of a statistical test is the probability that the test will correctly reject the null hypothesis when the alternative hypothesis is true. This means that the test has the capability to detect a true difference in the population when the alternative hypothesis is true. It is also related to the probability of a Type II error, which is the probability of not rejecting the null hypothesis when the alternative hypothesis is true. In other words, the power of the test is the probability of rejecting the null hypothesis when the alternative hypothesis is true.

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You cant do it on normal calculators you will need somthing like the TI-84 or CASIO FX-9860GII .

Answer:

1: negative 26

2: posative 9

Answer:

48

Step-by-step explanation:

Answer:

48   because i divided it

Answer:

250

Step-by-step explanation:

1 year= 2% of 500 (10)

25 years= 25*10

250

Hope this helps!

Answer:

1. B, step 3

2. C, (7, -3)

Step-by-step explanation:

1. When distributing -3 in step 3, it's supposed to be -39, not 39.

2. If you solve the rest of the problem with -39 instead, you get (7, -3)

Answer:

37 yd²

Step-by-step explanation:

The computation of the surface area of this triangular pyramid is shown below:

The surface area of this triangular pyramid  is

But before that

Lateral area = 3(1 ÷ 2) × base × height

= (3 ÷ 2)(4 yd)(5 yd)

= 30 yd²

Now

base area = 1 ÷ 2 × base × height

= 1 ÷ 2(4 yd)(3.5 yd)

= 7 yd²

Now the total surface area is  

surface area = lateral area + base area

= 30 yd² + 7 yd²

= 37 yd²

Answer:

88 inches squared

The probability that a randomly selected bag of chips is less than the advertised weight of 10.5 oz is 0.0580. The Option B.

To get the probability, we will to calculate the z-score and then use the standard normal distribution table.

The z-score can be calculated using the formula: z = (x - μ) / σ

Given data:

x is the desired value (10.5 oz in this case

μ is the mean (10.72 oz)

σ is the standard deviation (0.14 oz).

Plugging values, we get:

z = (10.5 - 10.72) / 0.14

z ≈ -1.5714

To get probability corresponding to the z-score of -1.5714. Looking up the value in the table, we see that the probability is 0.0580.

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The difference in airfare between a flight of k miles and a flight of k + 1 miles is 0.2.

We have the formula to predict the airfare between the cities as -

A = 150 + 0.2x

We have to determine the difference in airfare between a flight of k miles and a flight of k + 1 miles?

The equation given to us is -  A = 0.2(x) + 150 , which is similar to the equation - y = mx + c. Hence, the graph represents the straight line with slope m = 0.2.

We have the following equation -

A = 150 + 0.2x

The fare for the flight of K miles is -

A(K) = 150 + 0.2K                   (Eqn. 1)

and

for a flight of (K + 1) miles -

A(K + 1) = 150 + 0.2(K + 1) = 150 + 0.2K + 0.2 = (150 + 0.2K) + 0.2

From Eqn. 1 -  A(K) = 150 + 0.2K, Therefore -

A(K + 1) = A(K) + 0.2

A(K + 1) - A(K) = 0.2

Hence, the difference in airfare between a flight of k miles and a flight of k + 1 miles is 0.2.

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Before performing a significance test about a population mean or proportion, the following conditions must be verified:

Sample Size: The sample size should be sufficiently large to allow the application of the normal distribution. A minimum sample size of 30 is required to meet this requirement.

Normality: The sample should be approximately normally distributed. When the sample size is greater than or equal to 30, the central limit theorem ensures normality. For sample sizes of less than 30, the data should be examined for normality. If the distribution is skewed or has outliers, nonparametric tests should be considered.

Independence: The observations in the sample should be independent of one another. This means that the response from one observation does not depend on the response from another observation.

Equal Variance: The variance of the population should be approximately equal to the variance of the sample. If the variances are unequal, a modified t-test should be used instead of the traditional t-test.

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Answer:

Rs 260000

Step-by-step explanation:

P=Rs. 10000

T=12mon =1 year

R=10% p.a.

Compounded half yearly

n=2

∴A=P[1+R/n] nT

=10000[1+10/2 ]power 2×1

=10000[ 12/2]power 2

=10000×6×6

A=360000

C.I=A−P

=Rs. (360000−10000)

=Rs. 260000.

Answer:

24

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Answer:

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The limiting reagent in a chemical reaction is a reactant that is totally consumed when the chemical reaction is completed. The amount of product formed is limited by this reagent, since the reaction cannot continue without it.

why is excess reagent used:

A good way to ensure that one reactant fully reacts is to use an excess of the other reactant. This is financially efficient when one of the reactants is very cheap. When one reactant is in excess, there will always be some left over.

how do you find the excess reagent:

The reactant that produces a lesser amount of product is the limiting reagent. The reactant that produces a larger amount of product is the excess reagent. To find the amount of remaining excess reactant, subtract the mass of excess reagent consumed from the total mass of excess reagent given

Answer:

y=3

Step-by-step explanation:

-2y+9=3

Step 1: Subtract 9 from both sides.

−2y+9−9=3−9

−2y=−6

Step 2: Divide both sides by -2.

−2y /−2  =  −6 /−2

y=3

Answer:

y=3

Answer:

y=3

Step-by-step explanation:

Subtract 9 from both sides.

−2y=3−9

Simplify  3-9 to -6

-2y=-6−2y=−6

Divide both sides by -2

​​ y= -6/-2

Two negatives make a positive.

y= 6/2

simplify

y=3

hope i helped

-lvr

Work Shown:

f(x) = -2x+5

f(-9) = -2(-9)+5

f(-9) = 18+5

f(-9) = 23

A pair of intersecting lines that forms a pair of complementary angles is as drawn below.

Remember that complementary angles are defined as angles which sum is equal to 90°.

Besides, each of the pairs of opposite angles made by two intersecting lines are called vertical angles. Now, from congruent proofs, we know that that vertical angles are congruent. In another words, they have the same measure.

Thus, we have to draw two vertical angles that measure:

90° ÷2 = 45°

This image is as drawn below in the attached file.

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The margin of error (M.E.) for the given sample is approximately 0.0778 or 7.78%. Sample proportion (p) = 79.1%, Sample size (n) = 306, Margin of error (M.E.) = 0.0778 or 7.78%.

To calculate the margin of error (M.E.) for estimating a population proportion, we can use the following formula:

\(\[ M.E. = Z \cdot \sqrt{\frac{p \cdot (1 - p)}{n}} \]\)

Where:

- Z is the z-score corresponding to the desired confidence level

- p is the sample proportion

- n is the sample size

In this case, the sample size (n) is 306, the sample proportion (p) is 79.1% (or 0.791), and the confidence level is 99.5% (which corresponds to a z-score of 2.807). Let's calculate the margin of error:

\(\[ M.E. = 2.807 \times \sqrt{\frac{0.791 \times (1 - 0.791)}{306}} \approx 0.0778 \]\)

Therefore, the margin of error (M.E.) that corresponds to a sample of size 306 with 79.1% successes at a confidence level of 99.5% is approximately 0.0778 (or 7.78%).

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The three equations that have the same value of x as the original equation are:

18x - 15 = 72

3(6x - 3) = 72

x = 4.5

What is an equation?

An equation is a statement that two expressions are equal. It typically contains one or more variables (represented by letters) and mathematical operations such as addition, subtraction, multiplication, and division. Equations can be used to represent relationships between quantities or to solve for unknown values.

The correct options are:

18x - 15 = 72

18x - 9 = 72

x = 4.5

To see why, we can start by simplifying the original equation:

Three-fifths (30x - 15) = 72

(3/5)(30x - 15) = 72

18x - 9 = 72

18x - 15 = 72 + 15

18x = 87

x = 87/18

So we see that x = 87/18 is the solution to the original equation.

Now let's check each of the answer choices:

18x - 15 = 72

Solving for x, we get x = 87/18, which is the same as the solution to the original equation. This equation is equivalent to the original equation.

50x - 25 = 72

Solving for x, we get x = 97/50, which is not the same as the solution to the original equation. This equation is not equivalent to the original equation.

18x - 9 = 72

Solving for x, we get x = 81/18 = 9/2, which is not the same as the solution to the original equation. This equation is not equivalent to the original equation.

3(6x - 3) = 72

Simplifying, we get 18x - 9 = 72, which is equivalent to the second equation listed above. So this equation is also equivalent to the original equation.

x = 4.5

This is the same solution as the original equation, so this equation is also equivalent to the original equation.

Therefore, the three equations that have the same value of x as the original equation are:

18x - 15 = 72

3(6x - 3) = 72

x = 4.5

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