1. Jacob wants to buy chocolate spread. There are 8-oz container of
chocolate spread for $0.56 or a 32-oz container of chocolate
spread for $2.56. Which one is a better buy? (Which one has a lower
unit rate?) (5 points).
The
container has a lower unit rate.

The correct conclusion is:

"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."

Given,

At a huge institution, a doctor is determining the typical height of the male students.

Inches are used to measure the heights of a sample of 40 male baseball team players.

The doctor computes the 95% confidence interval using this information (63.5, 74.4).

The following conclusions is valid:

"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."

We can guarantee that the target variable will be within the confidence interval for a given confidence level since we know the confidence interval reflects an interval.

The true mean of heights for male students at the college where the doctor measured heights is represented by the provided case's confidence level of 95% and confidence interval of (63.5, 74.4).

The doctor is therefore 95% certain that the range of the mean height of male students at the college is valid (63.5, 74.4).

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Answer:

30π in

Step-by-step explanation:

Circumference of a circle = 2πr

Where r is the radius

In the given diagram, the radius is 15 in

2×π×15 in = 30π in

Answer:

D. Quadrant IV

Step-by-step explanation:

At first we need to graph the function \(y = 3\cdot x\), whose representation is included in the figure attached below. The positive slope and the y-intercept equal to zero means that the inequality only takes any point below the line into account, that is, it covers Quadrants I and III partially and the Quadrant IV completely. Then, the correct answer is D.

The answer is D

Answer:

4x² + 8x - 8

Step-by-step explanation:

We are given these following functions:

f(x) = 8x²+3x-1

g(x) = 4x² - 5x + 7

We have to do: f(x) - g(x)

So

f(x) - g(x) = 8x² + 3x - 1 - (4x² - 5x + 7)

The minus means that the signal of everything inside the parenthesis is changed. So

8x² + 3x - 1 - (4x² - 5x + 7) = 8x² + 3x - 1 - 4x² + 5x - 7

Now we combine the like terms:

With x²: 8x² - 4x² = 4x²

With x: 3x + 5x = 8x

Independent: -1 - 7 = -8

The answer is:

4x² + 8x - 8

Substitute x=3:

Therefore, f(3)=4

Value at f(3) is 4

Here we are given with the function which is in the form of: -

\(f(x)=x^2 - 5\\\)

here f(x) means function of x,  that is dependent on the equation mentioned above.

Now, according to question we have to find f(3). means we have to find the value of function when x=3.

Now replace f(x) with f(3).

\(f(3)=(3)^2 - 5\\\\(3)^2=9\\\\f(3)=9-5\\f(3)=4\)

So final value of function at x=3 is 4

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Answer:

Step-by-step explanation:

10x^3 + 35x^2 - 4x - 14

5x^2(2x + 7) - 2(2x + 7)

(5x^2 - 2)(2x + 7)

The equation of the line parallel to the given line that contains C is obtained as y = x + 6.

For the given question;

The equation of the line is given as;

y = x + 4

The standard form of the equation of line in slope intercept form is;

y = m x + c

where, m is the slope and c is the y intercept.

On comparing;

m₁ = 1

Now, the other lien is parallel to the given line.

Thus, slopes of both lines will be equal.

m₁ = m₂ = 1

The passing points of the line are;

(x₁, y₁) = C(1, 7)

Now, the equation of lien will be;

y - y₁ = m₂(x - x₁)

Put the values;

y - 7 = 1(x - 1)

Simplifying.

y = x + 6

Thus, the equation of the line parallel to the given line that contains C is obtained as y = x + 6.

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Answer:

100 packets

Step-by-step explanation:

Given :

Cost = fixed cost + variable cost

Fixed cost = $500

Variable cost = $10

Sales price = $15

Let :

Number of packets = x

To break even :

fixed cost + variable cost = sales made

500 + 10x = 15x

500 = 15x - 10x

500 = 5x

x = 500 / 5

x = 100

100 packets

The solution to the equation log_6 x + log_6 3 = log_6 (x+1) is x = 1/2.

Explain:

We can reduce the complexity of the left side of the equation by using the logarithmic identity log a + log b = log (ab):

Log6 x plus Log6 3 equals Log6 (3x)

When we add this to the initial equation, we obtain:

Log6 (3x) equals Log6 (x+1).

Because logarithms have the one-to-one property, we can drop the logarithm on both sides to get the following results:

3x = x + 1

When we simplify this equation, we obtain:

2x = 1

x = 1/2

As a result, x = 1/2 is the answer to the equation log 6 x + log 6 3 = log 6 (x+1).

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Answer:

-----------------------------------------

When the cannonball lands the height h is zero.

Set the value of the function as zero and solve for t:

The greater value of t represents the time we need.

Based on the survey results, a typical parent would spend around $44 on their child's birthday gift, with a margin of error of approximately $2.9 at a 99% confidence level.

To estimate how much a typical parent would spend on their child's birthday gift, we use the sample mean and standard deviation as estimates of the population parameters. The sample mean of $44 serves as the point estimate for the population mean.

To determine the margin of error, we use the standard error, which is the standard deviation divided by the square root of the sample size. In this case, the standard error is approximately $2.5 (standard deviation of $10 divided by the square root of 20). Multiplying the standard error by the critical value corresponding to a 99% confidence level (z-value of 2.58 for a large sample size) gives us the margin of error.

Therefore, the typical amount spent on a child's birthday gift is estimated to be $44, with a margin of error of approximately $2.9. This means that we can be 99% confident that the true mean amount spent by parents falls within the range of $41.1 to $46.9.

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Answer:

3.27

Step-by-step explanation:

the money he spent in total is 9.53 subtract it to 12.80

The amount of money left after he purchased his lunch is $3.27.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Josh had $12.80 to spend for lunch. For lunch, he purchased two hamburgers that cost $2.75 each, cheese fries that cost $1.85, and a drink that cost $2.18.

The amount of money left will be calculated as,

Money left = 12.80 - [(2 x 2.75 ) + 1.85 + 2.18]

Money left = 12.80 - 9.53

Money left =  $3.27

Therefore, the amount of money left after he purchased his lunch is $3.27.

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Answer

660in²

Step-by-step explanation:

B1=30

B2=36

h=20

1/2*20(30+36)

1/2*20(66)

10(66)

660in²

Answer:

\(12* (x-55)\)

Step-by-step explanation:

Not sure what else you need...

Answer:

He can only make 9

Step-by-step explanation:

He will have 4 cards left over so it will not be enough to make another stack.

Answer:

9.44444444444 rounded to 9.5

Step-by-step explanation:

maths

9514 1404 393

Answer:

  $125

Step-by-step explanation:

For x = 140, the function definition for x ≥ 100 is used.

p(140) = 95 +0.75(140 -100) = 95 +30 = 125

The customer will owe $125 for items with a value of $140.

The statistic that describes the average distance between the measurements in a frequency distribution and the mean of that distribution is the mean absolute deviation (MAD).

The MAD measures the dispersion or spread of the data points around the mean. It is calculated by taking the absolute value of the differences between each data point and the mean, summing these absolute differences, and dividing by the number of data points.

Unlike the standard deviation, the MAD does not square the differences, making it easier to interpret. The MAD provides a measure of the variability of the data and is useful in comparing the spread of different data sets.

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Complete Question:

The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C': Triangles ABC and A' B' C' are shown.

\(A = (-6, 10)\)

\(B = (-7, 7).\)

\(C = (-4, 6).\)

\(A' = (2, 7).\)

\(B' = (1, 4).\)

\(C' = (4, 3).\)

Which of the following completes the rule for this translation,

(x, y) → (x + 8, ___)?

Answer:

y - 3

Step-by-step explanation:

Given

See Complete Question

Required

Complete the rule of translation

Taking A and A' as a point of reference

\(A = (-6, 10)\) and \(A' = (2, 7).\)

By comparing the x coordinates of A and A'

\(-6 + k = 2\)

Make k the subject

\(k = 2 + 6\)

\(k = 8\)

So, the x coordinate is translated by x + 8

Similarly,

By comparing the y coordinates of A and A'

\(10 + k = 7\)

Make k the subject

\(k= 7 - 10\)

\(k = -3\)

So, the y coordinate is translated by y - 3

Hence, the complete translation is: (x + 8, y - 3)

Answer:B.y-3

Step-by-step explanation:

If we make 3.5 points for Landing on the blue sector,then game will then be balanced.

Probability is synonymous with possibility. It is concerned with the occurrence of a random event.

Probability can only have a value between 0 and 1. Its simple notion is that something is very likely to occur. It is the proportion of favorable events to the total number of events.

The probability of each sector is found as;

P(red) = 2/7

P(purole)=2/7

P(yellow)=2/7

P(blue)=1/7

Landing on the blue sector will get you 3 points,

F(blue)= 3× 1/7 = 3/7 points.

F(yellow)= 2× 1/7 = 2/7 points.

F(purple)=0 ×1/27=0

F(red)= -1×(2/7)= -2/7

\(\rm E(x)= \frac{3}{7} +\frac{2}{7} +0-\frac{2}{7} \\\\ E(x)=\frac{3}{7}\)

If the predicted value is 1/2 ,game will not fair.

As a result, if we get 3.5 points for landing in the blue area. The game will then be balanced.

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Answer:

(6, 7)

Step-by-step explanation:

Answer:

6, 7

Step-by-step explanation:

Billy Joel is King

I need some chocolate milk

Otters are great

I enjoy jumping off buildings

Bang your Head

The function is not normalizable and cannot be a wave function.

A wave function must satisfy two important conditions. First, it must be normalizable, meaning its integral over all space is finite.

Second, it must be single-valued and continuous.

(i) The function Ψ1​(x) = \(e^{-x^{5} }\) is acceptable as a wave function, since it is continuous everywhere and decays to zero as x → ±∞.

However, we must check if it is normalizable. The normalization condition for a one-dimensional wave function Ψ(x) is:

∫(-∞) to ∞ |Ψ(x)|²dx = 1

In this case, we have:

∫(-∞) to ∞ |Ψ₁(x)|² dx

= ∫(-∞) to ∞ \(e^{-2x^{5} }\) dx

This integral can be quite challenging to evaluate, but we can see that the integrand goes to zero faster than any power of x as x → ±∞.

Therefore, the integral is convergent and the function is normalizable.

Therefore, Ψ₁(x) is an acceptable wave function.

(ii) The function Ψ₂​(x) = cos(x - 2π/3) is not acceptable as a wave function, since it is not normalizable.

The normalization condition for a one-dimensional wave function Ψ(x) is:

∫( -∞) to ∞ |Ψ(x)|² dx = 1

In this case, we have:

∫(-∞) to ∞ |Ψ₂​(x)|² dx = ∫(-∞)to∞ cos²(x - 2π/3) dx

This integral is not convergent, since the integrand oscillates between 0 and 1 over an infinitely repeating interval.

Therefore, the function is not normalizable and cannot be a wave function.

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Answer:

The answer is d

Step-by-step explanation:

simplyfied into the simpiliest form possible

\(\text {Hi! Let's Solve this Equation!}\)

\(\text {The Only Step you need to do is Divide 6:}\)

\(\text {6y/6=-42/6}\)

\(\text {Your Answer would be:}\)

\(\fbox {y=-7}\)

\(\text {Best of Luck!}\)

\(\text {-LimitedX}\)

Answer:

-7

Step-by-step explanation:

6y =-42

y=-42:6

y=-7

Mr. Welsh

has a stating production of

f(1)=70

from the statement

He has determined that the production of eggs will increase each year to be the square of 60 eggs less than the previous year

previous year =fn

then

where

f(1)=70

then the correct answer is

option C

Answer:

p = 0.42n.

Step-by-step explanation:

To derive an equation, the price per orange will need to be found. Since 6 oranges costed $2.52, simply divide to find the price:

2.52/ 6 = $0.42 per orange.

Therefore, an equation representing the total price for 'n' amount of oranges would be:

p = 0.42n.