Suppose the restaurant’s description of the weights of its hamburgers is true. The dotplot below
shows the distribution of sample means from 100 simulated SRSs of size n = 5 from a normally
distributed population with µ = 8 ounces and σ = 0.54 ounces.
(b) Would it be unusual to get a sample mean of 7.6 oz or less in a sample of size n = 5 from this
population? Explain.
(c) Based on your answer to part (b), is there convincing evidence that the mean weight of
hamburgers at this restaurant is less than 8 oz? Explain.

Answer:

$34.5

Step-by-step explanation:

$3.45 for 3/4

-Divide by 3-

$1.15 for 1/4

-Multiply by 4-

$4.6 for 4/4 OR 1

-Multiply by 7.5-

$34.5 for 7.5

Answer:

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

f(x)=ax²+bx+c

Simplify each term.

f(x)=2x²−8x+8+6

Add 8 and 6.

f(x)=2x²−8x+14

Step-by-step explanation:

The value of a4 would be equal to -666.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given that \(a_0=10\) and \(a_n+1=-5a_n\)

This is a recursive formula. So we can simply substitute in each value. For instance, a₂

Use the recursive definition repeatedly.

a2 = -5(6) +4 = -26

 a3 = -5(-26) +4 = 134

 a4 = -5(134) +4 = -666

Therefore, the value of a4 is -666

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The correct comparison of the population and sampling distribution is A. Means are the same but the standard deviation of sampling distribution is smaller

X X^2

95 9025

96 9216

98 9604

Sum = 289 27845

n 3

The sample mean 96.33333333 SUM/n

Population mean 96.33333333 SUM/n

Sample standard dev \(1.527525232 \sqrt{((1/(n-1))(SUM(X^2)-(1/n)SUM(X)^2)}\)

Population standard dev \(1.247219129 \sqrt{((1/n)(SUM(X^2)-(1/n)SUM(X)^2)}\)

Population Mean(μ) = 96.33

Population standard deviation (σ) = 1.25

Option A) 95,96,98 and X bar = 96.33

Sampling distribution :

mean (μx = μ) = 96.33

standard deviation(σx = σ/SQRT(n)) = 1.25/SQRT(3) = 0.72

Option A) Means are the same but the standard deviation of the sampling distribution is smaller

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Using graphical method to find the solution to the system of linear equation, x = -7/2, y = 1/2

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1.

The equations given are

Using graphical method, the solution to the system of linear equation is the point of intersection between the two lines.

Using a graphing calculator;

The point of intersection (x, y) are ( - 3.54, 0.494) which can be estimated as x = -7/2, y = 1/2

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Answer:

16

Step-by-step explanation:

a and b are called valuables while 16 is the coefficient of both a and b.

The measure of Angle C is approximately 26°.

A, B, C are vertices of a triangle, where AB = 8 cm, BC = 6 cm. To determine the measure of angle C, we need to use the cosine rule.

The cosine rule states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.

Mathematically, we can represent it as follows:a² = b² + c² - 2bc cos(A)where a is the side opposite to angle A, b is the side opposite to angle B, c is the side opposite to angle C.

In this case, we have AB = c = 8 cm, BC = a = 6 cm, and AC = b. We need to find the measure of angle C, which is represented as cos(C).

Using the cosine rule, we can write the equation as follows:$$\begin{aligned} b^2 &= c^2 + a^2 - 2ca\cos(C) \\ \Right arrow b^2 &= 8^2 + 6^2 - 2 \times 8 \times 6 \cos(C) \\ \Right arrow b^2 &= 64 + 36 - 96 \cos(C) \\ \Right arrow b^2 &= 100 - 96 \cos(C) \end{aligned}$$We know that b is a positive length. Hence, b² > 0 or 100 - 96 cos(C) > 0. Solving for cos(C),  

we get: cos(C) < 100/96cos(C) < 1.0417Using a calculator, we can determine the inverse cosine of 1.0417 as:cos⁻¹(1.0417) = 0.4569 radians = 26.201° (rounded to the nearest degree)

Therefore, the measure of angle C is approximately 26°.

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Answer:

3, 2√2, √7

Step-by-step explanation:

compute the square roots of the next three prime numbers:

√7

√11

√13

Therefore, the next three terms of the sequence are:

{1, √2, √3, 2, √5, √7, √11, √13}

chatgpt

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Answer:

THIS IS FALSE.

Step-by-step explanation:

MARK BRAINLIESSSTTTTT I NEED 2 MORE SO I CAN RANKUPP

Answer: an arithmetic sequence

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Median is the middle

Mode is the number you see the most

Add and divide for the mean

Subtract the lowest value from the highest value for the range

The price per roll for Lidal and Oldi shop is 0.35 and 0.36 respectively.

Therefore Lidal shop is the best value for money.

Given,

Lidal shop:

8 rolls costs  2.80

∴ one roll costs = 2.80/8

                        = 0.35

Oldi shop:

9 rolls costs 3.24

∴ one roll costs = 3.24/9

                        = 0.36

Hence we get the per price for the shops as 0.35 and 0.36

we can see that for lidal shop if per roll it is 0.35 then if a person wants to buy 9 rolls then it will cost him 3.15, whereas in the case of oldi shop the price for 9 rolls is 3.24.Therefore, lidal shop is the best value for money.

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Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

The required number of new boys in a sports team is 62.

As mentioned in the question,  A sports team has 65 men and 35 women as members. A new activity has just begun and some new members have joined.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

here,
Given that the number of men is now 60% of the total members, how many of the 50 new members were women is to be determined,
Percentage of women, in the team = 100 - 60 = 40%
40% of total members are women = 35 + 50

Total members = 85 / 40%
Total member = 212
Number of new member that are boys = 212 - 85 - 65 = 62 boys

Thus, the required number of new boys in a sports team is 62.

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The rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

From the question, we have the following parameters that can be used in our computation:

John drove from here to San Antonio which is 180 miles away in 3 hours.

This means that

Distance = 180 miles

Time = 3 hours

Using the above as a guide, we have the following:

Speed = Distance/Time

Substitute the known values in the above equation, so, we have the following representation

Speed = 180/3

Evaluate

Speed = 60

Hence. the rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

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Answer:

\(\Huge \boxed{\text{13.66$\%$}}\)

Step-by-step explanation:

To find the rate, we need to use the following formula:

\(\LARGE \boxed{ \boxed{\text{Rate = $\frac{\text{Portion}}{\text{Base}}$$\times$100}}}\)

Where "Portion" is the part of the whole and "Base" is the whole.

Now, let's plug in the given values:

\(\large \text{Rate = $\frac{\text{50}}{\text{366}}$$\times$100 = 13.66 (Rounded to the nearest tenth of a percent)}\)

Therefore, the rate is 13.66% (rounded to the nearest tenth of a percent).

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Answer:

x = 62.1

Step-by-step explanation:

Note the equal sign in this equation, what you do to one side, you do to the other. Isolate the variable, x, by dividing 10 from both sides of the equation:

\(621 = 10x\\\\\frac{621}{10} = \frac{10x}{10} \\\\x = \frac{621}{10} \\x = 62.1\)

Answer:

x = 62.1

Step-by-step explanation:

The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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Answer:

21 purple marbles

Step-by-step explanation:

my explanation is i looked at it like a ratio so ¾= x/28

then i took 28 ÷ 4 which equals 7, then i took 7 and multiplied it by 3 which gave me 21, so the answer is 21 purple marbles

Since we have to consider the results, we can just apply the percentage of Peach to the total 65 pies and round to the whole pies.

To apply 25%, we multiply by 0.25:

This is 16 and 1 quarter, but we want just the whole pies, so the answer is 16 whole pies.

Answer:

bathroom area is 1/4 area of bedroom

Step-by-step explanation:

bathroom area = 35 sq ft

bedroom area = 140 sq ft

The maximum value of √3 + cos(x) is 2 and the corresponding value of x that produces the maximum value is x = 0°.

To find the maximum value of √3 + cos(x) and the corresponding value of x that produces the maximum value, we can use the identity cos(x) = √(1 - sin^2(x)). We know that |sin(x)| ≤ 1 for all values of x, so

√3 + cos(x) = √3 + √(1 - sin^2(x)) ≤ √3 + √1 = 2.

Thus, the maximum value of √3 + cos(x) is 2. This maximum value is achieved when cos(x) = 1, or when x = 2nπ (where n is an integer) and sin(x) = 0.

In the range -360° to 360°, the value of x that produces the maximum value of √3 + cos(x) is x = 0°.

So, the maximum value of √3 + cos(x) is 2 and the corresponding value of x that produces the maximum value is x = 0°.

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Answer:

your answer is c=y=1/6x

The rate at which pail is collecting water is  2/5  inch/minute.

Rate is a ratio of change in one quantity w.r.t. change in another quantity. The net change in one quantity is written as, Δx and the net change in another quantity is written as Δy, .

So formula for the rate is,

m = change in one quantity/change in another quantity = Δy/Δx

Given that,

Pail collects 1/3 of an inch of water

Time  = 5/6 minute

Rate = Amount of water/Time

       = (1/3) / (5/6)

       = 2/5

Hence, the rate of collecting water is 2/5  inch/minute.

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The complete question:

During a rainstorm a pail collects 1/3 of an inch of water in 5/6 of a minute. At what rate is the pail collecting water?

a) P(psychology student)  = 1/3. b) P(psychology or anthropology student)  = 5/6. c) P(not sociology student)= 5/6

(a) The probability of choosing a psychology student is the number of psychology students divided by the total number of students:

P(psychology student) = 4/(6+2+4) = 4/12 = 1/3

(b) The probability of choosing a psychology student or an anthropology student is the sum of the number of psychology and anthropology students divided by the total number of students:

P(psychology or anthropology student) = (4+6)/(6+2+4) = 10/12 = 5/6

(c) The probability of not choosing a sociology student is the number of non-sociology students divided by the total number of students:

P(not sociology student) = (6+4)/(6+2+4) = 10/12 = 5/6

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Answer:

Step-by-step explanation:

A = 1/2(base x height)

or A = (bh)/2