A bunch of flowers originally cost $32. It goes on sale at 25% off the original price.

Fill in the blanks.
Original percentage:
Percentage off:
Percentage left over:
Complete the number sentence to show how to find the sale price of the bunch of flowers:
Sale price = ----------% x $32

The probability that the sample mean will be between 181 and 185 is 0.3039.

Given,

The mean of a population, μ = 180

Standard deviation, σ = 36

Number of sample observations, n = 84

We have to find the probability that the sample mean will be between 181 and 185;

Lets convert 181 and 185 into z scores;

z = (x - μ) / (σ/√n)

z = (181 - 180) / (36/√84)

z = 1/3.93

z = 0.25

z = (185 - 180) / (36/√84)

z = 5 / 3.93

z = 1.27

Lets look z score table;

The area to the left of z = 0.25 is 0.5987

The area to the left of z = 1.27 is 0.8980

The probability that the z is between 0.25 and 1.27 would be 0.8980 – 0.5887 = 0.3039.

That is,

The probability that the sample mean will be between 181 and 185 is 0.3039.

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Answer:

x=8.5

Step-by-step explanation:

To solve this equation, we want to find out what x is. To do this, we need to get x by itself.

Perform the opposite of what is being done to the equation. Remember to perform everything to both sides.

4(x-5)=14

4 is being multiplied by x-5. The opposite of multiplication is division. Divide both sides by 4.

4(x-5)/4=14/4

x-5=14/4

x-5=3.5

5 is being subtracted from x. The opposite of subtraction is addition. Add 5 to both sides.

x-5+5=3.5+5

x=3.5+5

x=8.5

Let's check our solution. Plug 8.5 in for x in the original equation.

4(x-5)=14

4(8.5-5)=14

4(3.5)=14

14=14

Both sides of the equation are the same, so we know our solution, x=8.5 is correct.

The test statistic for this test is x² = 12.4 and the p-value is 0.0297.

The first step is to define the null hypothesis and the alternative hypothesis. In this case, the null hypothesis is that the die is fair, while the alternative hypothesis is that the die is not fair.The second step is to choose the appropriate test statistic.

Since we are testing whether the frequencies of the outcomes are significantly different from what we would expect under the null hypothesis, we can use the chi-square goodness-of-fit test.

The third step is to calculate the test statistic and the p-value. The test statistic for the chi-square goodness-of-fit test is given by the formula:x² = ∑(O - E)² / E

where O is the observed frequency, E is the expected frequency under the null hypothesis, and the sum is taken over all possible outcomes.In this case, we expect each outcome to occur with a frequency of 20, since there are 120 rolls in total and 6 possible outcomes.

Therefore, the expected frequencies are:E = 20, 20, 20, 20, 20, 20for outcomes 1, 2, 3, 4, 5, and 6, respectively.

The observed frequencies are given in the table, and the calculations are shown below:

Outcome on Die 1 2 3 4 5 6 Frequency 25 22 19 27 20 ?

Observed frequencies:O = 25, 22, 19, 27, 20, x

Expected frequencies:E = 20, 20, 20, 20, 20, 20

Chi-square statistic:x² = ∑(O - E)² / Ex² = (25 - 20)²/20 + (22 - 20)²/20 + (19 - 20)²/20 + (27 - 20)²/20 + (20 - 20)²/20 + (x - 20)²/20x² = 1.25 + 0.2 + 0.45 + 1.35 + 0 + (x - 20)²/20x² = 3.25 + (x - 20)²/20

The value of x² for this test is given in the output as x² = 12.4.

To find the value of x that corresponds to this value of x², we can use the chi-square distribution with 5 degrees of freedom (since there are 6 possible outcomes and we estimate one parameter from the data).

Using a chi-square calculator, we find that the p-value for this test is approximately 0.0297, rounded to four decimal places as needed.The fourth step is to draw a conclusion based on the p-value.

Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that the die is not fair. Specifically, the data suggest that the outcomes of 2, 4, and 5 occur more frequently than expected, while the outcomes of 1, 3, and 6 occur less frequently than expected.

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Answer:

1.12 pounds

Step-by-step explanation:

3.5 - 2.38 = 1.12

Answer:

1.12 pounds of ground beef.

Step-by-step explanation:

3.50-2.38

1.12

The solution is given below.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

Consider that on a coordinate plane-xy, the x-values increase from left to right, and y-values increase from bottom to up.

Given that the linear graph passes through (1,1).

It is given that the graph goes 3 units up for every 2 units right. This can also be understood as the graph goes 3 units down for every 2 units left.

From the point (1,1), the x-value corresponding to 2 units left is given by,

x=1-2

x= -1

Similarly, from the point (1,1), the y-value corresponding to 3 units down is given by,

y = 1 - 3

y= -2

So the point (-1,-2) must also lie on the same linear graph.

Therefore, option (b) is the correct choice.

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In the wοrd prοblem , the difference between their jump is C) 1 yard.

Wοrd prοblems are οften described verbally as instances where a prοblem exists and οne οr mοre questiοns are pοsed, the sοlutiοns tο which can be fοund by applying mathematical οperatiοns tο the numerical infοrmatiοn prοvided in the prοblem statement. Determining whether twο prοvided statements are equal with respect tο a cοllectiοn οf rewritings is knοwn as a wοrd prοblem in cοmputatiοnal mathematics.

Here Height of Natalie jumped = \(2\frac{5}{6}\) yards

Height of Mia jumped = \(1\frac{7}{8}\) yards

Now the difference between their jumps is ,

=> \(2\frac{5}{6}-1\frac{7}{8}\)

=> \(\frac{12+5}{6}-\frac{8+7}{8}\)

=> \(\frac{17}{6}-\frac{15}{8}\)

=> \(\frac{136-90}{48}\)

=> \(\frac{46}{48} = \frac{23}{24}\) yards \(\sim 0.95 = 1 yard\)

Hence the difference between their jump is C) 1 yard.

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The possible number of books that could be on sale is option 1: (5, 15).

Let's evaluate each option using the given system of inequalities:

a. (5, 15)

x = 5 and y = 15

The first inequality, x + y < 20, becomes 5 + 15 < 20, which is true.

The second inequality, x < y, becomes 5 < 15, which is true.

Therefore, (5, 15) satisfies both inequalities.

b. (15, 5)

x = 15 and y = 5

The first inequality, x + y < 20, becomes 15 + 5 < 20, which is true.

The second inequality, x < y, becomes 15 < 5, which is false.

Therefore, (15, 5) does not satisfy the second inequality.

c. (10, 10)

x = 10 and y = 10

The first inequality, x + y < 20, becomes 10 + 10 < 20, which is true.

The second inequality, x < y, becomes 10 < 10, which is false.

Therefore, (10, 10) does not satisfy the second inequality.

Hence based on the analysis, the possible number of books that could be on sale is option 1: (5, 15).

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Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

For 0.50 the value of P(1 − p) maximized.

The chance of an event happening given that another event has already occurred (via assumption, supposition, statement, or evidence) is known as conditional probability in the field of probability theory. [1] This particular approach depends on event B happening in some way connected to another event A. In this case, a conditional probability analysis with respect to event B is possible.

The probability of A under the condition B is typically expressed as P(A|B)[2] or PB if the event of interest is A and the event B is known to have occurred or is assumed to have done so (A). This can alternatively be thought of as the percentage of possibility that B and A will collide.

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Answer:

use the Microsoft world language to define noun phrases and figure of speech

Answer: 19.2

Step-by-step explanation:

15^2+12^2=369

Then find the square root of 392 which is 19.2

Answer: B.

Step-by-step explanation: This is because you can't possibly have an exponent, there are no two of the same value being multiplied together.

Answer:

2

Step-by-step explanation:

Hahaha thank you

Answer:

2

Step-by-step explanation:

1 plus 1 is two use ur fingers

Answer:

\({ \tt{question \: 1 : }} \\ 2 {x}^{2} - 4x - 3 = 0 \\ x = 2.58 \: \: and \: \: - 0.58 \\ \\ { \tt{question \: 2 : }} \\ x(x - 2) = 4 \\ x = 4 \: \: and \: \: 6 \\ \\ { \tt{question \: 3 : }} \\ {9x }^{2} + 12x + 4 = 0 \\ (3x + 2)(x - 9) = 0 \\ x = \frac{ - 2}{3} \: \: and \: \: 9 \\ \\ { \tt{question \: 4 : }} \\ {x}^{2} + 2x = 1 \\ {x}^{2} + 2x - 1 = 0 \\ x = 0.41 \: \: and \: \: - 2.41\)

1) The solutions to the equation (k + 1)(k − 5) = 0 are k = −1 and k = 5.

2) The solutions to the equation (a + 1)(a + 2) = 0 are a = −1 and a = −2.

1) (k + 1)(k − 5) = 0

To solve this equation using factoring , we can use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero. So we can set each factor equal to zero and solve for k

k + 1 = 0 or k − 5 = 0

Solving for k in each equation, we get

k = −1 or k = 5

Therefore, the solutions to the equation are k = −1 and k = 5.

2) (a + 1)(a + 2) = 0

Similarly, we can use the zero product property to solve this equation

a + 1 = 0 or a + 2 = 0

Solving for a in each equation, we get

a = −1 or a = −2

Therefore, the solutions to the equation are a = −1 and a = −2.

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The max value and min value can then be determined from these critical points.

To find the extreme values of a function subject to a constraint, we can use Lagrange multipliers. First, we set up the Lagrangian equation by multiplying the constraint by a scalar λ and adding it to the original function.

Then, we take the partial derivatives of the Lagrangian equation with respect to each variable and set them equal to zero. This will give us a system of equations to solve for the critical points.

Once we have the critical points, we need to determine which ones are maximums and which are minimums.

To do this, we can use the second derivative test. If the second derivative is positive at a critical point, it is a minimum. If the second derivative is negative, it is a maximum.

In summary, to find the extreme values of a function subject to a constraint using Lagrange multipliers, we set up the Lagrangian equation, solve for the critical points, and then use the second derivative test to determine which ones are maximums and which are minimums.

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The maximum value of f(x, y, z) is 26.5, and the minimum value is -29.

To find the extreme values of the function f(x, y, z) = 6x + 6y + 5z subject to the constraint 3x² + 3y² + 5z² = 29 using Lagrange multipliers, set up the following system of equations:

1. ∇ f = λ∇g

2. g(x, y, z) = 3x² + 3y² + 5z² - 29

where ∇f and ∇g are the gradients of f and g respectively, and λ is the Lagrange multiplier.

Taking the partial derivatives, we have:

∇ f = (6, 6, 5)

∇g = (6x, 6y, 10z)

Setting these two gradients equal to each other, we get:

6 = 6λx

6 = 6λy

5 = 10λz

Dividing the first two equations by 6\(\lambda\), we obtain:

x = ¹/λ

y = ¹/λ

Substituting these values into the third equation, we have:

5 = 10λz

z = ¹/2λ

Now, substitute x, y, and z back into the constraint equation to find the value of λ:

3(¹/λ)² + 3(¹/λ)² + 5(1/2λ)² = 29

6(¹/λ²) + 5(⁴/λ²) = 29

24 + 5 = 116λ²

116λ² = 29

λ² = ²⁹/₁₁₆

λ = ±√²⁹/₁₁₆

λ = ± √²⁹/2√29

λ = ± ¹/₂

We have two possible values for λ, λ = ¹/₂ and λ = ¹/₂

Case 1: λ = ¹/₂

Using this value of λ, we can find the corresponding values of x, y, and z:

x = ¹/λ = 2

y =¹/λ = 2

z = 1/2 λ = ¹/₂

Case 2: λ = -1/2

Using this value of λ, find the corresponding values of x, y, and z:

x = 1/λ = -2

y = 1/λ = -2

z = 1/(2λ) = -1

Now that we have the values of x, y, and z for both cases, substitute them into the objective function f(x, y, z) to find the extreme values.

For Case 1:

f(x, y, z) = 6x + 6y + 5z

= 6(2) + 6(2) + 5(1/2)

= 12 + 12 + 2.5

= 26.5

For Case 2:

f(x, y, z) = 6x + 6y + 5z

= 6(-2) + 6(-2) + 5(-1)

= -12 - 12 - 5

= -29

Therefore, the maximum value of f(x, y, z) is 26.5, and the minimum value is -29.

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According to the reaction, the value of A is 143.

The given nuclear fission reaction is as follows:

235/92 U + 1/0 n → 90/36 Kr + A/56 Ba + 3 1/0 n

In this reaction, 235/92 U (Uranium-235) and 1/0 n (neutron) are the reactants, and 90/36 Kr (Krypton-90), A/56 Ba (Barium) and 3 1/0 n (neutrons) are the products.

The mass number (A) is the sum of the number of protons and neutrons in the nucleus of an atom. As the mass is conserved during any chemical or nuclear reaction, the mass number of the reactants must be equal to the mass number of the products.

Therefore, we can write the mass number balance equation for the given nuclear fission reaction as:

235 + 1 = 90 + A + (3 × 1)

Simplifying the above equation, we get:

236 = 90 + A + 3

A = 236 - 90 - 3

A = 143

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To show that w = u × v and v = w × u, we need to demonstrate that the cross product of vectors u and v yields the same result as the cross product of vectors w and u.

Given that u = v × w, let's calculate the cross product of w and u:

w × u = (u × v) × u

Since the cross product is not associative, we need to use the vector triple product identity:

w × u = u × (v × u) - (u · u) v

Since u is orthogonal to v, the dot product (u · v) is zero. Therefore, we can simplify the equation:

w × u = u × (v × u)

Next, let's calculate the cross product of v and u:

v × u = (u × v) × v

Using the vector triple product identity:

v × u = v × (u × v) + (v · v) u

Again, since u is orthogonal to v, the dot product (v · v) is zero:

v × u = v × (u × v)

Thus, we have shown that w = u × v and v = w × u, indicating that the cross products are equivalent in both directions.

In summary, when u, v, and w are orthogonal unit vectors, the cross product of u and v yields the same result as the cross product of w and u, as well as the cross product of v and w.

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The correct answer is A. The function T(t) is continuous because the temperature changes gradually as time increases, with no jumps in between.

In this context, a continuous function means that the temperature changes smoothly and continuously with time, without any abrupt or sudden changes. Since the temperature is expected to change gradually over time, there are no jumps or discontinuities in the function. Option B is incorrect because the temperature being constant would imply that there are no changes at all, which is unlikely for a given day in Chicago.

Option C is incorrect because it states that the temperature changes quickly, implying abrupt changes, which contradicts the expectation of gradual changes mentioned in the problem. Option D is incorrect because it suggests that the temperature varies throughout the night, which is expected and does not indicate discontinuity.

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In 120 different variations of this model car are possible.

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical size. Let's use the ice creams as a multiplication example to help us comprehend. There are two such groupings, and each group has ice cream.

Calculating the sum of two numbers multiplied together is the process of multiplication. Simple tests in addition, subtraction, multiplication, and division will be given. 2. a noncount noun The process or occurrence of something of a certain kind multiplying occurs when their quantity or number increases.

Given,

There are five different ways to choose a car's color.

3 different car transmission selection options are available.

There are four different interior automobile selection options.

There are two different ways to pick a car's engine.

The potential number of car variations is thus:

Multiplying:

5 × 3 × 4× 2

120

In 120 different variations of this model car are possible.

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Answer:

1

__

2

is the correct answer.

Step-by-step explanation:

Answer:

2ND ONE

Step-by-step explanation:

Answer:

z = 24

Step-by-step explanation:

35/30 = 7/6

28/7 = 4

6 x 4 = 24

28/24 = 7/6

Answer:

x = 24

Step-by-step explanation:

All you have to do is cross multiply like this..

30 x 28 = 35 x X

=

x = 30 x 28/35

30 x 28 = 840 / 35 =

24

So x is equal to 24

Hope this helps :)

The mass of the metal cube can be find by using the formula, Mass = Density × Volume

Here we have to find the mass of the metal cube

We know that, Density = Mass / Volume

The density is defined as the substance's mass per unit volume

The mass is defined as the quantity of matter in the physical body

The volume is the quantity of space occupied by the three dimensional shape.

The volume of the metal cube = \(a^3\)

Where a is the side of the cube

Then the Mass of the metal cube = Density × Volume

Hence, The mass of the metal cube can be find by using the formula Mass = Density × Volume

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Answer:

85 - 4x < 40

12 cars

Step-by-step explanation:

He starts with 85 wheels, so the inequality starts with 85.

85 -

He then subtracts 4 wheels for each car he builds.

He builds x cars, and each car uses 4 wheels, so he subtracts 4x from 85.

85 - 4x

The number of wheels he has after building x cars, is

85 - 4x

He orders more wheels when the number of wheels is less than 40.

85 - 4x < 40   <------------ This is the inequality

Now we solve the inequality for x, the number of cars.

85 - 4x < 40

Subtract 85 from both sides.

-4x < -45

Divide both sides by -4. Remember that when you multiply or divide an inequality by a negative number, the inequality sign changes direction.

-4x/(-4) > -45/(-4)

x > 11.25

Since the number of cars must be a whole number, we round up to 12.

Check:

After he builds 12 cars, he uses 4 × 12 = 48 wheels.

85 - 48 = 37

That is the highest number of wheels less than 40 that he can have before ordering ore wheels.

12 is correct.

Answer:

Width = 18 inches

Length = 59 inches

Step-by-step explanation:

The length of a rectangle is five more than triple the width. If the perimeter is 154 inches, what are the dimensions

Perimeter of a rectangle = 2L + 2W

The length of a rectangle is five more than triple the width.

L = Length = 5 + 3W

W = Width

If the perimeter is 154 inches, what are the dimensions

Hence,

154 = 2L + 2W

154 = 2(5 + 3W ) + 2W

154 = 10 + 6W + 2W

Collect like terms

154 - 10 = 8W

144 = 8W

W = 144/8

W = 18 inches

Length = 5 + 3W

Length = 5 + 3(18)

Length = 5 + 54

Length = 59 inches

Answer:

A

Step-by-step explanation:

Given

6 (\(\frac{x}{2}\) + 4) ≥ 9 ( distribute the parenthesis by 6 )

3x + 24 ≥ 9 ( subtract 24 from both sides )

3x ≥ - 15 ( divide both sides by 3 )

x ≥ - 5 → A

Answer:

A

Step-by-step explanation:

First, divide both sides by 6:

6(x/2 + 4) ≥ 9

x/2 + 4 ≥ 9/6

x/2 + 4 ≥ 3/2

Now, subtract 4 from both sides:

x/2 ≥ 3/2 - 4

x/2 ≥ -5/2

Finally multiply both sides by 2:

x ≥ (-5/2) * 2

x ≥ -5

The answer is thus A.

~ an aesthetics lover

Answer:

Answer is 49

Step-by-step explanation: