The morning temperature in Erin's apartment was 79°. Erin turned up the air conditioner and

the temperature in her apartment that afternoon was 68º. Write an integer to represent the

change in temperature. (1 point)

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BI

Analysing the data and evaluating the claims about the duration of flavor, we use analysis of variance (ANOVA) to compare the mean flavor intensities of the four gums.

Let's assume we have the following hypothetical data for the flavour intensity ratings:

Participant 1: Gum A: 7,Gum B: 6,Gum C: 8,Gum D: 7

Participant 2: Gum A: 6,Gum B: 5,Gum C: 7,Gum D: 6

Participant 3: Gum A: 8,Gum B: 7,Gum C: 9,Gum D: 8

Participant 4: Gum A: 7,Gum B: 6,Gum C: 8,Gum D: 7

Participant 5: Gum A: 6,Gum B: 5,Gum C: 7,Gum D: 6

We have 5 participants who each chewed 4 different types of gum (A, B, C, D) over 4 days. The flavor intensity ratings were recorded after 2 hours of chewing, ranging from 1 to 9.

To analyze the data and evaluate the claims about the duration of flavor, we can use analysis of variance (ANOVA) to compare the mean flavor intensities of the four gums. ANOVA helps determine if there is a statistically significant difference in the mean flavor intensities among the groups.

Here are the steps to conduct ANOVA:

Set up hypotheses:

Null hypothesis (H₀): The mean flavor intensities of the four gums are equal.

Alternative hypothesis (Hₐ): The mean flavor intensities of the four gums are not equal.

Calculate the sum of squares:

Calculate the total sum of squares (SST) by summing the squared differences between each observation and the overall mean.

Calculate the between-group sum of squares (SSB) by summing the squared differences between each group mean and the overall mean, weighted by the number of observations in each group.

Calculate the within-group sum of squares (SSW) by summing the squared differences between each observation and its respective group mean.

Calculate the degrees of freedom:

Degrees of freedom between groups (dfB) = Number of groups - 1

Degrees of freedom within groups (dfW) = Number of observations - Number of groups

Calculate the mean squares:

Mean square between groups (MSB) = SSB / dfB

Mean square within groups (MSW) = SSW / dfW

Calculate the F-statistic:

F-statistic = MSB / MSW

Determine the critical value or p-value:

Using the F-statistic and degrees of freedom, you can look up the critical value from an F-distribution table or use statistical software to calculate the p-value.

Compare the obtained F-value with the critical value or p-value:

If the obtained F-value is greater than the critical value (or if the p-value is less than the significance level, often 0.05), reject the null hypothesis and conclude that there is a significant difference in the mean flavor intensities among the gums.

If the obtained F-value is less than the critical value (or if the p-value is greater than the significance level), fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a significant difference in the mean flavor intensities among the gums.

By following these steps, you can perform an ANOVA analysis to evaluate the claims about the duration of flavor and determine if there is a significant difference in the mean flavor intensities among the four different gums.

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Answer:

Miss Meod lost $88 from Adams' first week of services.

Step-by-step explanation:

Assuming the first sentence stand

As Adams received $125 of wages the break-point is at $250 dollars

which is double of Adams' wage. Below this point the employe cannot realize a gain.

The services performed were $162  we subtract the break even point:

162 - 250 = -88

Durign the first week Miss Adams services generate a variable loss for $88

Therefore, sin θ is equal to 15/17 using trigonometric ratios.

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is used to solve problems involving distances, angles, and heights, and is commonly used in fields such as engineering, physics, and navigation. Trigonometry involves the study of the trigonometric functions, such as sine, cosine, and tangent, and their relationships to the angles of a right triangle. These functions are used to determine the lengths of the sides of a triangle and the measures of its angles, as well as to model periodic phenomena in various areas of science and engineering.

Here,

Since cos θ = adjacent/hypotenuse, we can draw a right triangle in Quadrant I with the adjacent side equal to 8 and the hypotenuse equal to 17. We can use the Pythagorean theorem to find the opposite side:

opposite² = hypotenuse² - adjacent²

opposite² = 17² - 8²

opposite² = 225

opposite = 15

So, the opposite side is equal to 15. Since sin θ = opposite/hypotenuse, we can substitute in the values we found:

sin θ = opposite/hypotenuse

= 15/17

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The closest to the probability that a person's favorite sport is 28%.

Probability of an event happening is the ratio of the number of required outcome to that of the total number of possible outcomes. while the probability of the event not happening is one minus the event happening.

From the question, the number of required outcome is 18 and the number of possible outcomes is 25.

So the probability of the event that a person's favorite sport is not basketball = 1 - (18/25)

probability of the event that a person's favorite sport is not basketball = (25 - 18)/25 [simply to a single fraction]

probability of the event that a person's favorite sport is not basketball = 7/25

probability of the event that a person's favorite sport is not basketball = 28/100 [convert to percentage]

probability of the event that a person's favorite sport is not basketball = 38%

Therefore, the probability that a person's favorite sport will not be baskitballbis 38%.

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The x-intercept y at x = -3 and x = -9. The values of x for which the function is positive are x ≥ -3 and x ≤ -9.

To find the x-intercept we set y = 0 and solve the equation for x. This is because when y=0 the line crosses the x-axis. A function is said to be positive if all the values of y are above the x-axis.

We shall equate the function f(x) to zero derive its x-intercept as follows;

x² + 12x + 27 = 0

x² + 9x + 3x + 27 = 0 {expand the middle term}

x(x + 9) + 3(x + 9) = 0

(x + 3)(x + 9) = 0 {factorize}

x + 3 = 0 or x + 9 = 0

x = -3 or x = -9

for x = - 3

(-3)² + 12(-3) + 27 = 0

for x = -9

(-9)² + 12(-9) + 27 = 0

Therefore, the x-intercept is when x = -3 and x = -9. And the values of x for which the function is positive are x ≥ -3 and x ≤ -9.

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Answer: -5/21.

Step-by-step explanation:

\(\frac{2}{5}*[\frac{-3}{7} +(\frac{-1}{6})]=\frac{2}{5} *(-\frac{3}{7} -\frac{1}{6}) =\frac{2}{5}*(-\frac{3*6+1*7)}{7*6} )=\frac{2}{5}*(-\frac{18+7}{42})=\frac{2}{5}*(-\frac{25}{42})=-\frac{5}{21} .\)

Good luck an' have a nice day!

Answer:

Step-by-step explanation:

The height of the prism is 6m

From the information given, we have that;

The formula for calculating the volume of  a triangular prism is expressed as;

V = Bh

such that the parameters of the formula are;

Now, substitute the value, we have;

72 = 12(h)

Divide both sides by the coefficient of the variable, we get;

h = 72/12

h =6 m

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y=2x² - 5x - 3

To find the value of y when x = -1, simply substitute x = -1 in the above and then evaluate

y = 2(-1)² - 5 (-1) - 3

y = 2 (1) + 5 - 3

y = 2 + 5 - 3

y = 4

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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Answer: x = 9 (I think)

Step-by-step explanation:

3x - 7 + 7 = 3x

20 + 7 = 27

3x = 27

3x ÷ 3 = x

27 ÷ 3 = 9

x = 9

The total present value of these payments at the time the first payment is made is 1,735.85 (747.26 + 988.59).

To calculate the present value of these payments, we need to use the formula for the present value of an annuity:

\(PV = (P/i) x [1 - (1+i)^-n]\)

Where:
P = payment amount
i = annual effective rate
n = number of payments

Using this formula, we can calculate the present value of the first 10 payments:

\(PV = (100/0.07) x [1 - (1+0.07)^-10] = 747.26\)

To calculate the present value of the remaining 10 payments, we need to first calculate the payment amounts. To do

this, we can use the following formula:

\(Pn = P1 x (1 + g)^n\)

Where:
Pn = payment in year n
P1 = first payment amount
g = growth rate
n = number of years since first payment

For the 11th payment:

\(P11 = 105 x (1 + 0.05)^1 = 110.25\)

For the 12th payment:

\(P12 = 110.25 x (1 + 0.05)^1 = 115.76\)

And so on, until the 20th payment:

\(P20 = 163.32 x (1 - 0.05)^8 = 79.24\)

Now we can calculate the present value of these payments:

PV = \((110.25/0.07) x [1 - (1+0.07)^-10] + (115.76/0.07) x [1 - (1+0.07)^-9] + ... + (79.24/0.07) x [1 - (1+0.07)^-1]\)

PV = 988.59

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The median of the data set is 29.5.

Median of a set of numbers is the number situated in the middle of the set when the data is arranged in a particular order.

In other words, we can say that median is the element which separates a given data into a higher half and a lower half.

The data set given here is,

26  30  24  32  32  31  27 and 29

First we have to arrange the numbers in either ascending or descending order.

Let's do it ascending here.

24  26  27  29  30  31  32 and 32

We have 8 elements in the set here.

We have two middle elements here, 4th and 5th elements, which are 29 and 30.

Median = (29 + 30) / 2 = 29.5

Hence the median of the data set 26  30  24  32  32  31  27 and 29 is 29.5.

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The equation of the line with slope 4 that goes through the point (-3,0) is y = 4x + 12.

The equation of the line passing through the point (-3,0) with a slope of 4 can be found using the point-slope form of a line's equation:

y - y1 = m(x - x1)

where the provided point is (x1, y1), and m is the slope.

When we change the values, we obtain:

y - 0 = 4(x - (-3))

Making the right side simpler:

y = 4x + 12

Hence, y = 4x + 12 is the equation of the line with slope 4 passing through the point (-3,0).

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When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative

What is the explanation?

U(2, 7) → U'(-7, 2)

V(10, 7) → V'(-7, 10)

W(2, 3) → W'(-3, 2)

Step-by-step explanation:

From the picture attached,

Coordinates of the vertices of the given triangle,

U → (2, 7)

V → (10. 7)

W → (2, 3)

Since rule for the coordinates of a point P(x, y) after a rotation of 90° counterclockwise about the origin is,

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Answer:

where is the question

Step-by-step explanation:

send me the question on comment and i will solve it for you

Answer:

125/64

Step-by-step explanation:

I hope this helps

Answer:

Step-by-step explanation:

angle 2 is opposite to angle 3 = ∠2 = ∠3

angle 2 is the same as angle 6 = ∠2 = ∠6

angle 6 is opposite to angle 7 = ∠6 = ∠7

see image below

Answer: f(2)=-10     f(-3)=15

Step-by-step explanation:

Let the number conceived be x.

Hence,

f(x)=(x+5)(-3)-2x+15

f(x)=-3x-15-2x+15

f(x)=-5x

Thus,

f(2)=(-5)(2)

f(2)=-10

f(-3)=(-5)*(-3)

f(-3)=15

Answer:

The answer is 1.62%

Step-by-step explanation:

A credit card issuer charges an APR of 19.66%

The billing cycle is 30 days

We have to find the periodic interest rate. The periodic rate is found by dividing the APR by the number of billing periods in the year.

The value here becomes:

= 1.615%≈1.62%

Hence, the answer is 1.62%

Hope this helps:)

The rate of change of the volume of the sphere is approximately 189.747 cubic meters per second.

The rate of change of the volume of a sphere can be found by taking the derivative of the equation for the volume of a sphere with respect to time. The equation for the volume of a sphere is V = (4/3)πr^3.

Taking the derivative with respect to time gives us dV/dt = 4πr^2 * dr/dt. We are given that the radius is increasing at a constant rate of 4 meters per second, so dr/dt = 4.

We are also given that the volume of the sphere is 16 cubic meters at a certain instant, so we can plug this value into the equation for the volume of a sphere and solve for r:
16 = (4/3)πr^3
r = (16 * 3/4π)^(1/3)
r ≈ 1.936

Now we can plug in the values for r and dr/dt into the equation for dV/dt to find the rate of change of the volume:
dV/dt = 4π(1.936)^2 * 4
dV/dt ≈ 189.747

Therefore, the rate of change of the volume of the sphere at the instant when the volume is 16 cubic meters is approximately 189.747 cubic meters per second.

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New pump:

\(\text{5 hours = 1 pool}\)

\(\text{1 hour} = \dfrac{1}{5} \ \text{pool}\)

Old pump:

\(\text{15h = 1 pool}\)

\(\text{1h} = \dfrac{1}{15} \ \text{pool}\)

If both work together

\(\text{1h} = \dfrac{1}{5}+ \dfrac{1}{15}= \dfrac{4}{15} \ \text{pool}\)

\(\dfrac{4}{15} \ \text{pool = 1 hour}\)

\(\dfrac{1}{15} \ \text{pool} = \dfrac{1}{4} \ \text{hour}\)

\(\dfrac{15}{15} \ \text{pool} =\dfrac{1}{4} \times15\)

1 pool = 3.75 hours or 3 hours 45 mins

Answer:

its 323 so you were right :) if 323 is your answer lol

Step-by-step explanation:

abs(T-50)=323 Where T is in degrees Kelvin.

abs () means absolute value.

So T=323 plus or minus 50

The Cartesian equation for the particle's path is y = (1/3)(x - 1)^2, representing a parabolic curve. The particle moves in the positive x-direction as t increases.

To find the Cartesian equation, we eliminate the parameter t by isolating t in one of the equations and substituting it into the other equation:

From x = 3t + 1, we can solve for t as t = (x - 1)/3.

Substituting this value of t into y = 9t^2, we get y = 9[(x - 1)/3]^2.

Simplifying the equation, we have y = (3/9)(x - 1)^2, which simplifies further to y = (1/3)(x - 1)^2.

The Cartesian equation for the particle's path is y = (1/3)(x - 1)^2. This equation represents a parabolic curve.

To graph the Cartesian equation, plot the points on the graph where x and y satisfy the equation. The graph will show a parabolic curve. Since the parameter t ranges from negative infinity to positive infinity, the particle's path extends infinitely in both directions.

The direction of motion can be determined by analyzing the coefficient of t in the parametric equation for x. In this case, the coefficient is 3, indicating that as t increases, the particle moves in the positive x-direction.

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Step-by-step explanation:

The 20° angle is equal to the angle next you friend.

since they are interior alternate angles

The height of the ballon is 600 feet

Let x be the missing distance we are looking for

so the missing distance is 1754 feet

Here I represented the situation to visualize the problem

Let h be L be the length of the ladder

so the ladder is 14 ft

The expression that represents the number of packages of cookies sold for the fundraiser is 17.

Let's assume the number of packages of cookies sold for the fundraiser is represented by the variable "x."

Given that 204 cookies were sold, and each package contains 12 cookies, we can set up an equation to represent the situation:

Number of cookies sold = Number of packages sold × Number of cookies per package

204 = x × 12

To find the number of packages sold, we can rearrange the equation:

x = 204 / 12

Simplifying the expression, we get:

x = 17

Therefore, the expression that represents the number of packages of cookies sold for the fundraiser is 17.

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a. The mole fraction of solute (Xsolute) is 0.5

b. The mole fraction of solvent (Xsolvent) is 0.5.

To calculate the mole fraction of solute and solvent, we need to know the number of moles of solute and solvent in the solution.

Molality (m) = 1.0 m

Molality is defined as the number of moles of solute per kilogram of solvent. Since the molality is given as 1.0 m, it means there is 1.0 mole of solute for every kilogram of solvent.

To calculate the mole fraction of solute (Xsolute), we divide the moles of solute by the total moles of solute and solvent:

Xsolute = moles of solute / (moles of solute + moles of solvent)

Since the molality is given as 1.0 m, it means that for every kilogram of solvent, there is 1.0 mole of solute. Therefore, the mole fraction of solute is 1.0 / (1.0 + 1.0) = 0.5.

Xsolute = 0.5

To calculate the mole fraction of solvent (Xsolvent), we divide the moles of solvent by the total moles of solute and solvent:

Xsolvent = moles of solvent / (moles of solute + moles of solvent)

Since the molality is given as 1.0 m, it means that for every kilogram of solvent, there is 1.0 mole of solute. Therefore, the mole fraction of solvent is 1.0 / (1.0 + 1.0) = 0.5.

Xsolvent = 0.5

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The objects that will have a greater force between them are Objects B and C

Gravitational Force between two objects with masses of m₁ and m₂ is given by the formula: F = Gm₁m₂/r²

where;

G is the gravitational constant (6.67 x 10^-11 m³ s⁻² kg⁻¹)

r is the distance between the two objects

F is the magnitude of the force between the objects.

Objects B and C will have greater force between them because the distance r between A and B is the same as the distance between B and C. But the product of the masses of Objects B and C is much greater than that of the product of the masses of Objects A and B.

Gravitational Force is always directly proportional to the product of the masses of the two objects.

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Answer:

x < 1 2/15

Step-by-step explanation:

You can solve using PEMDAS, or the order of operations ( parentheses, exponents, multiplication, division, addition, subtraction )

2x < -2 ÷ 3 (4x + 4 )

Use the distributive property:

3 ( 4x + 4 )

( 3 * 4x ) + ( 3 * 4 )

12x + 12

2x < -2 ÷ 3 + 12x + 12

now divide:

-2 ÷ 3

-2/3

2x < -2/3 + 12x + 12

Now combine like terms:

2x < 12x + ( -2/3 + 12 )

2x < 12x + 11 1/3

Subtract 12x from each side:

-10x < 11 1/3

Divide each side by -10:

x < 1 2/15

There is your answer