kelly has 3 bags whith 8 pieces of candy in each bag.lori has 8 bags whith 6 pieces candy in each . how much more candy does lori have then kelly

She needs 74.25 ft² of glass to cover the pyramid.

To obtain the surface area of any prism, we combine the areas of all the parts that compose the prism.

The pyramid in this problem is composed as follows:

The area of the square base is given as follows:

As = 5.5² = 30.25 ft².

The area of the four triangles is given as follows:

At = 4 x 1/2 x 5.5 x 4

At = 44 ft².

Hence the surface area of the pyramid is given as follows:

S = As + At

S = 30.25 + 44

S = 74.25 ft².

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The first recommendation among the given options is "Buy more than one ticket at a time".

This recommendation suggests that purchasing multiple tickets in a single transaction can result in cost savings. Many airlines offer discounted fares for group bookings, which means buying multiple tickets at once can save money compared to buying them individually.

Buying tickets in bulk not only saves money, but it also provides a level of flexibility in terms of travel plans. For instance, if a group of travelers plan to visit a particular destination together, they can book their tickets together and have a better chance of securing seats on the same flight. Additionally, in case there are changes in the travel plans, such as the need to reschedule or cancel, group bookings provide more flexibility in terms of making changes or requesting refunds.

Overall, buying more than one ticket at a time can be a wise decision, especially if one is traveling with a group or planning multiple trips in the near future. By doing so, one can save money and have more flexibility in terms of travel plans, making the overall travel experience smoother and more enjoyable.

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Answer:

Since the prism has three rectangular faces, let's call them faces ABCD, ABEF, and CDFH. Without loss of generality, let's assume that the plane goes through points A, B, and C to slice through all three rectangular faces.

First, let's consider the intersection of the plane with face ABCD. Since the plane goes through points A, B, and C, it must contain the line segments AB and AC. Thus, the intersection of the plane with face ABCD is a triangle with vertices A, B, and some point D' on the edge CD.

Next, let's consider the intersection of the plane with face ABEF. Since the line segments AB and AC both lie entirely within face ABEF, their intersection with the plane gives line segments AB' and AC', respectively. Thus, the intersection of the plane with face ABEF is a quadrilateral with vertices A, B', E, and F.

Similarly, the intersection of the plane with face CDFH is a quadrilateral with vertices C, D', H, and F.

To visualize the resulting plane section, imagine unfolding the right triangular prism so that all its faces lie flat. Then the plane section would look something like this:

B'________E

/| / |

A /_|___/' |

| | | |

| D'- -|-----C

| / |____|/

F|/ H

The intersection of the plane with face ABCD is the triangle ABD', and the intersections with faces ABEF and CDFH are the quadrilaterals AB'EF and CD'HF, respectively.

Overall, the resulting plane section has four sides: AB' and B'E from face ABEF, EF and FD' from face CDFH, and D'A from face ABCD. It has one vertex at A and two vertices, B' and D', that lie on the edge CD. The fourth vertex is at some point E on the edge BE. The shape of the resulting plane section depends on the relative positions of points B and D on the edge CD, and point E on the edge BE.

The length of the square garden is s = ( 3x - 4 ) feet

Given data ,

Let the length of the square garden be s

Now , The area of a square is given by the formula A = s², where s is the length of one side of the square.

We are given that the area of the garden is:

A = 9x² - 24x + 16

To find the length of the garden, we need to take the square root of the area:

s = √(A)

Substituting the given expression for A, we get:

s = √(9x² - 24x + 16)

We can simplify this expression by factoring the quadratic under the square root sign:

s = √[(3x - 4)(3x - 4)]

Using the property that the square root of a product is equal to the product of the square roots, we can simplify further:

s = (3x - 4)

Hence , the length of the garden is 3x - 4 feet

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Answer:

  The measure of angle AOC is double the measure of angle ABC.

Step-by-step explanation:

You want to know the relationship between central angle AOC in circle O and inscribed angle ABC subtending the same arc AC.

The measure of an inscribed angle is half the measure of the arc it intercepts. The measure of a central angle is exactly equal to the measure of the arc it intercepts. (That's how the arc measure is determined.)

Hence, the measure of angle AOC is double the measure of angle ABC.

__

Additional comment

  Inscribed : central = 1 : 2

  Central : inscribed = 2 : 1

You need to be a little careful of the wording of the relationship. Which is double and which is half can be confused when it's written in words. On a diagram, the angle with its vertex in the center will obviously be larger than the one with its vertex on the circle.

Answer:

3 cm

Step-by-step explanation:

because the correct answer is 3cm

The values of p1, p2, p3 that minimize Var(X) are p1 = 0, p2 = 1/3, and p3 = 2/3.

We can use the following formulas to find the variance of X:

Var(X) = E[X^2] - (E[X])^2

E[X] = p1 + 2p2 + 3p3

E[X^2] = p1 + 4p2 + 9p3

Substituting these expressions into the formula for the variance, we get:

Var(X) = p1 + 4p2 + 9p3 - (p1 + 2p2 + 3p3)^2

Simplifying this expression, we get:

Var(X) = -[tex](p1^2 + 2p2^2 + 3p3^2) + 2p1p2 + 6p1p3 + 4p2p3[/tex]

To maximize Var(X), we want to maximize this expression subject to the constraint p1 + p2 + p3 = 1. We can use Lagrange multipliers to find the maximum. Let:

L(p1, p2, p3, λ) = -[tex](p1^2 + 2p2^2 + 3p3^2) + 2p1p2 + 6p1p3 + 4p2p3 + λ(1 - p1 - p2 - p3)[/tex]

Taking partial derivatives and setting them equal to zero, we get:

-2p1 + 2p2 + 6p3 - λ = 0

4p1 - 4p2 + 4p3 - λ = 0

6p1 + 8p2 - 6p3 - λ = 0

p1 + p2 + p3 = 1

Solving these equations, we get:

p1 = 2/7, p2 = 3/7, p3 = 2/7, λ = 4/7

Therefore, the values of p1, p2, p3 that maximize Var(X) are p1 = 2/7, p2 = 3/7, and p3 = 2/7.

To minimize Var(X), we want to minimize the expression [tex]-(p1^2 + 2p2^2 + 3p3^2) + 2p1p2 + 6p1p3 + 4p2p3[/tex] subject to the constraint p1 + p2 + p3 = 1. We can use the same Lagrange multiplier method to find the minimum. Taking partial derivatives and setting them equal to zero, we get:

-2p1 + 2p2 + 6p3 - λ = 0

4p1 - 4p2 + 4p3 - λ = 0

6p1 + 8p2 - 6p3 - λ = 0

p1 + p2 + p3 = 1

Solving these equations, we get:

p1 = 0, p2 = 1/3, p3 = 2/3, λ = 2/3

Therefore, the values of p1, p2, p3 that minimize Var(X) are p1 = 0, p2 = 1/3, and p3 = 2/3.

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(a) Yes, we have enough information to compute Probability P(A or B).

(b) If we know P(A) and P(B), we have enough information to compute P(A or B).

(a) The probability of the union of two events (A or B) is given by the formula P(A or B) = P(A) + P(B) - P(A and B)

We know P(A) and P(B), but we don't know P(A and B) - the probability that both events occur simultaneously. Therefore, we cannot compute P(A or B) with certainty unless we are given additional information about the relationship between A and B.

(b) If we know that events A and B are mutually exclusive, then we have enough information to compute P(A or B). Mutually exclusive events are events that cannot occur simultaneously, which means that P(A and B) = 0.

In this case, the formula for the probability of the union simplifies to:

P(A or B) = P(A) + P(B)

Since we know P(A) and P(B), we can simply add them to obtain P(A or B). Therefore, in this case, we have enough information to compute P(A or B).

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The correct answer is false. A reduced echelon matrix [tex]T(x) = 0[/tex] with a row of [tex][0 . . 0 | 0] or [0 . . . 0 | b][/tex], where[tex]b \neq 0[/tex], is not considered one-to-one.

Let's first define what it means for a matrix to be one-to-one.

A matrix is said to be one-to-one if each column of the matrix is linearly independent.

This means that for any given input, there is only one possible output.
Now, let's consider the reduced echelon matrix T(x) = 0. If this matrix has a row of [tex][0 . . 0 | 0] or [0 . . . 0 | b][/tex], b ≠ 0, it means that one of the variables in the system of equations represented by the matrix is a free variable.

This free v[tex]T(x) = 0.[/tex]ariable can take on any value, and the other variables will adjust accordingly.
If the reduced echelon matrix is [tex][1 0 | 2; 0 0 | 0],[/tex] the system of equations would be [tex]x = 2[/tex] and y can be any value.

This means that the matrix is not one-to-one, because there are multiple outputs for the same input.
the correct answer is false.

A reduced echelon matrix[tex]T(x) = 0[/tex] with a row of [tex][0 . . 0 | 0] or [0 . . . 0 | b][/tex], where [tex]b \neq 0[/tex], is not considered one-to-one.

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The amount of interest that is earned on Sandra's card after 1 year if Sandra makes no payment is: $538.48.

We can obtain the right answer by using using the formula for compound interest as follows: A = P(1 + r/n)^(nt)

where:

P = $2,500

r = 0.1999 (since the APR is 19.99%)

n = 4 (since the interest compounds quarterly)

t = 1 (since we're looking at the interest earned after 1 year)

Substituting these values into the formula, we get:

A = $2,500(1 + 0.1999/4)^(4*1)

A = $2,500(1.049975)^4

A = $2,500(1.207789)

A = $3,019.47

So after 1 year, Sandra will owe $3,019.47 on her credit card. The interest earned is the difference between this amount and the initial amount charged, which is:

Interest = $3,019.47 - $2,500

Interest = $519.47

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The transformations of the functions compared to the parent function are given as follows:

C. Reflection over the x-axis, vertical stretch by a factor of 2, and shift right units.

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

The parent function for this problem is given as follows:

y = sqrt(x).

Hence the transformations are given as follows:

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Answer:

Original volume: 6^3 = 216 cubic cm

New volume: 3^3 = 27 cubic cm

The volume of this cube would decrease by 189 cubic centimeters if the length of each side was reduced from 6 cm to 3 cm.

Answer:

156

Step-by-step explanation:

Use the system of PEMDAS.
6*3 = 18
6*4 = 24
6*5 = 30
6*8 = 48
2[3*4+1/2(3*4)] = 36
Add all.
18+24+30+48+36 = 156

Answer:

the answer is c(t)=x2 +3

Step-by-step explanation:

because if u insert every x value in x place u will get the 2nd coordinate or y value so it is the correct equation

A threat to internal validity occurs only if a potential design confound varies systematically with the independent variable.

In experimental research, an independent variable is a variable that the researcher manipulates or systematically varies in order to study its effect on the dependent variable. It is called "independent" because it is not influenced by any other variables in the experiment, and its effects on the dependent variable can be observed and measured independently of any other factors.

Only when a possible design confound fluctuates systematically with the independent variable does internal validity come under threat. In other words, it might be challenging to distinguish between the effects seen on the dependent variable and the independent variable if there is a component that fluctuates consistently or predictably with changes in the independent variable. Internal validity is less likely to be threatened by random or unplanned variation.

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A threat to internal validity occurs only if a potential design confound varies systematically with the independent variable. This means that if the confound varies randomly or haphazardly, it is less likely to affect the results of the study.

This means that the confound is consistently related to the independent variable, making it difficult to determine if the observed effects are due to the independent variable or the confound. If the confound varies spontaneously or haphazardly, it is less likely to pose a threat to internal validity, as it would not be consistently associated with the independent variable.

However, if the confound is related to the independent variable in a consistent and predictable way, it can introduce bias and undermine the internal validity of the study. It is important for researchers to carefully control for potential confounds and ensure that any observed effects are truly due to the independent variable and not some other factor.

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Answer:

sugger

Step-by-step explanation:

because she bought 34.15 super and 34.144 pepper

The percentage increase of Seraphina's speed would be = 12.3%

The speed she travelled in the first hour = 57miles/hr

The speed she travelled in the second hour = 73miles/jr

The increase in speed = 73-57 = 16

Therefore the percentage increase;

= 16/130×100/1

= 1600/130

= 12.3%

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Answer:

Let's first calculate the number of students who passed the test and completed the assignment. We know that 15 students passed the test and 6 students who failed the test and did not complete the assignment. Therefore, there are 25 - 15 - 6 = 4 students who failed the test but completed the assignment.

Now we can calculate the probability that a student who completed the homework passed the test by dividing the number of students who passed the test and completed the assignment by the total number of students who completed the assignment.

The number of students who passed the test and completed the assignment is 15 - 6 = 9. The total number of students who completed the assignment is 16 - 6 = 10. Therefore, the probability that a student who completed the homework passed the test is 9/10 or 0.9.

Step-by-step explanation:

The opposite numbers that have a distance of 8 units between them on a number line are: -4 and 4.

We have,

The distance on a number line between two numbers is the number of units that separates both numbers.

Opposite numbers have the same distance to point zero on a that lies between them. For example, 4 on a number line is 4 units from point 0. -4 is also 4 units. 4 is the opposite number of -4.

Distance between -4 and 4

= |-4 - 4|

= |-8|

= 8 units.

Therefore, the opposite numbers that have a distance of 8 units between them on a number line are: -4 and 4.

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To find the values of x for which (x2 − 4)(x + 3) = 0, 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. Therefore, we can set each factor equal to zero and solve for x:

(x2 − 4) = 0 or (x + 3) = 0

Solving for x in the first equation, we get:

x2 = 4 x = ±2

Solving for x in the second equation, we get:

x = −3

Therefore, the values of x for which (x2 − 4)(x + 3) = 0 are −2, 2, and −3. The answer choices that correspond to these values are R. −2, S. 2, and P. −3.

Answer:

true

Step-by-step explanation:

because there's less humidity

The completed table is attached accordingly. The standard deviation is given as 11.69

To derive the missing values, in the (x -μ) colume we need to first find the mean of the values.

This is writen as .....

μ = (2 + 8+14+19+20+21+26+  33+36+41  )  / 10 = 22.0

Now we can calculate the missing value as

(x-μ)

-20

-14

-8

-3.0

-2.0

-1.0

4.0

11.0

14.0

19.0

To find the missing values in the (x-μ)² column, we can simply square the values we just found

(x-μ)²

400

196

64

9.0

4.0

1.0

16.0

121.0

196.0

361.0

Next, we can find the sum of the (x-μ)² column

Σ(x-μ) ² = 1368

To find the variance, we divide the sum by the number of values and round to the nearest hundredth:

s² = Σ(x-μ)² / n = 1368 / 10 = 136.8

To find the standard deviation, we take the square root of the variance and round to the nearest hundredth:

s = √ (s²)

 = √(136.8)

≈ 11.69

Hence, the standard deviation of the elephant ages is approximately 11.69.

See the attached table.

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Answer:

9 inches

Step-by-step explanation:

A foot is 12 inches long. To find a fourth of a foot, divide 12 by four to get 3. This means that Julio has already dug a hole one foot and three inches deep. To make his hole two feet deep, he will need to dig the other 3/4 of the foot. To find 3/4 of a foot, take 1/4 of a foot (3 inches) and multiply by 3 (9 inches).
Julio will have to dig 9 more inches.

The equation represents a linear function.

What is quadratic equation?

A quadratic equation is a polynomial equation of degree two which can be written in the form: ax² + bx + c = 0, where x is the variable and a, b, and c are constants with 'a' not equal to 0. The term 'quadratic' comes from the Latin word 'quadratus', which means 'square'.

The equation given in the image is a quadratic equation in standard form, which means it is written in the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable.

To determine which statement is true about this equation, we need to analyze its discriminant, which is given by the expression b^2 - 4ac. The discriminant tells us about the nature of the solutions of the quadratic equation.

If the discriminant is positive, then the equation has two distinct real roots.

If the discriminant is zero, then the equation has one real root (also known as a double root).

If the discriminant is negative, then the equation has two complex roots (conjugate pairs).

In the given equation, a = 3, b = -4, and c = 1. Substituting these values into the discriminant formula, we get:

b^2 - 4ac = (-4)^2 - 4(3)(1) = 16 - 12 = 4

Since the discriminant is positive, we know that the quadratic equation has two distinct real roots. Therefore, statement (A) is true.

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Answer:

true

Step-by-step explanation:

Carmen will be paid $36 in interest in the first 3 years on her deposit of $600 at a simple interest rate of 2% per year.

Given

Principal: $600

Annual interest rate: 0.02

Time period: 3

To Find

Interest ?

Solution

To calculate the interest that Carmen will be paid in the first 3 years on her deposit of $600 at a simple interest rate of 2% per year, we can use the formula:

I = P * r * t

where I is the interest, P is the principal (the initial amount deposited), r is the annual interest rate (as a decimal), and t is the time period (in years).

Substituting the given values, we get:

I = 600 * 0.02 * 3

I = $36

Therefore, Carmen will be paid $36 in interest in the first 3 years on her deposit of $600 at a simple interest rate of 2% per year.

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Answer: there should be 80 blacks

Step-by-step explanation:

i promise

The best approximation for the p-value for the test statistic t0 = 2.155 is 0.032.

To find the best approximation for the p-value for the hypothesis test with null hypothesis H0: μ=8 and alternative hypothesis H1: μ>8, with variance unknown and n=10, and a test statistic t0=2.155, we need to use the t-distribution with degrees of freedom (df) equal to n-1 = 10-1 = 9.

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed one, assuming the null hypothesis is true. Since this is a one-tailed test with the alternative hypothesis in the form of μ>8, the p-value corresponds to the area in the right tail of the t-distribution.

Using a t-table or calculator with the t-distribution, we can find the probability of obtaining a t-value as large as 2.155 or larger with 9 degrees of freedom. This probability is approximately 0.032. Therefore, the best approximation for the p-value for this hypothesis test is 0.032.

We can interpret this result as follows: if the null hypothesis is true (i.e., if the population mean is 8), the probability of obtaining a sample mean as extreme or more extreme than the observed one (i.e., greater than 8.215) is 0.032. Since this probability is relatively small, we may reject the null hypothesis in favor of the alternative hypothesis at a significance level of 0.05 or smaller.

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The a is rational , b is irrational and product of a and b is rational.

The number a=0.444444444444 is rational

Because it can be expressed as the ratio of two integers.

a = 4/9

The number b=0.354355435554 is irrational

Because it cannot be expressed as the ratio of two integers.

It has an infinite non-repeating decimal expansion.

To determine whether the product of a and b is rational or irrational, we can simply multiply them together:

a × b = (4/9) × 0.354355435554

= 0.158919191574

This product is a rational number, because it can be expressed as the ratio of two integers.

Hence, a is rational , b is irrational and product of a and b is rational.

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