Christopher is cooking potatoes for a buffet. He needs to cook 1/4 pound of potatoes per person. How many pounds of potatoes does he need to cook for 36 people?



Options
3 pounds
7 pounds
5 pounds
9 pounds

This statement is True. In the null hypothesis will be rejected in favor of the alternative hypothesis only if sample evidence suggests that h0.

A hypothesis is an assumption, an idea that is proposed for the sake of controversy so that it may be examined to look if it might be true. in the clinical approach, the hypothesis is built earlier than any relevant research has been completed, other than a primary history review. Hypotheses recommend a dating between or extra variables. An impartial variable is something the researcher adjusts or controls. A based variable is something the researcher observes and measures.

For a hypothesis to be a systematic speculation, the scientific technique requires that you can still check it. Scientists typically base medical hypotheses on preceding observations that can not satisfactorily be defined with the to-be-had scientific theories. despite the fact that the phrases "speculation" and "concept" are often used interchangeably, a scientific hypothesis isn't always similar to a systematic idea. An operating hypothesis is a provisionally standard speculation proposed for further research in a technique beginning with an educated bet or idea.

To learn more about Hypotheses visit here:

brainly.com/question/18064632

#SPJ4

The estimated value of g₂ₓ(1, 3) for the function g(x, y) = 5x^2y using h = 0.01 is approximately 1515.

Q1.1 (a) The correct limit definition of fy(a, b) is:

f(a, y + h) - f(a, y)

This expression represents the difference quotient, which is used to find the partial derivative of a function with respect to y. It measures the rate of change of the function f with respect to y as the variable y changes.

To find the partial derivative fy(a, b), we fix the value of x at a constant value a and consider how the function f changes with respect to y.

Q1.2 (b) We are given the function g(x, y) = 5x^2y and we need to estimate the value of g₂ₓ(1, 3) using h = 0.01.

The partial derivative g₂ₓ represents the rate of change of g with respect to x. To estimate this value, we can use the following formula:

g₂ₓ(a, b) = (g(a + h, b) - g(a, b)) / h

Substituting the values a = 1, b = 3, and h = 0.01 into the formula, we get:

g₂ₓ(1, 3) ≈ (g(1 + 0.01, 3) - g(1, 3)) / 0.01

Now let's calculate the values:

g(1 + 0.01, 3) = 5(1 + 0.01)^2(3) = 5(1.01)^2(3) ≈ 15.15

g(1, 3) = 5(1)^2(3) = 5(1)(3) = 15

Plugging these values into the formula:

g₂ₓ(1, 3) ≈ (15.15 - 15) / 0.01 ≈ 15.15 / 0.01 ≈ 1515

Therefore, the estimated value of g₂ₓ(1, 3) for the function g(x, y) = 5x^2y using h = 0.01 is approximately 1515.

Learn more about function here

https://brainly.com/question/11624077

#SPJ11

The correct option is 0.095 in. The horizontal deflection at the top of the cylinder from the applied load is approximately 0.095 in.

To determine the horizontal deflection at the top of the cylinder, we can use the formula for the deflection of a cantilever beam under a concentrated load. The formula is given by:

δ = (F * L^3) / (3 * E * I)

Where:

δ is the deflection

F is the applied load

L is the length of the beam (in this case, the height of the cylinder)

E is the elastic modulus of the material

I is the moment of inertia of the cross-sectional shape of the beam

Given:

d = 18.0 in (height of the cylinder)

h = 20.0 in (height of the roller mechanism)

F = 8.000 lb (applied load)

G = 1.00 ksi (shear modulus of elasticity)

First, let's calculate the moment of inertia (I) of the cross-sectional shape of the cylinder. The moment of inertia for a solid cylinder is given by:

I = (π * d^4) / 64

Substituting the given value for d:

I = (π * (18.0 in)^4) / 64

Next, let's convert the shear modulus of elasticity (G) from ksi to lb/in^2, which is required for the formula:

G = 1.00 ksi = 1.00 * 1000 lb/in^2

Now, let's substitute the given values into the formula for deflection:

δ = (F * L^3) / (3 * E * I)

δ = (8.000 lb * (h + d)^3) / (3 * G * I)

Substituting the given values:

δ = (8.000 lb * (20.0 in + 18.0 in)^3) / (3 * (1.00 * 1000 lb/in^2) * ((π * (18.0 in)^4) / 64))

Simplifying the expression and performing the calculations, we find:

δ ≈ 0.095 in

Therefore, the horizontal deflection at the top of the cylinder from the applied load is approximately 0.095 in.

The correct option is 0.095 in.

Learn more about cylinder here

https://brainly.com/question/23935577

#SPJ11

(a) < a^21 >=< ak > generates a subgroup of the group generated by a, and it is a subgroup of order 2k since

a^48=a^2k,

by Lagrange's theorem.

(b) -< ak > there are 5 subgroups of order 24, and they are generated by a^48, a^24, a^16, a^12, a^8

(c) < ak > there are 4 subgroups of order 48, and they are generated by a^48, a^24, a^16, a^12.

Given a group element a such that a^48. We have to find a divisor k of 48 such that

(a) < a^21 >=< ak >

For the element a^21, k must be a divisor of 21, let's list out the divisors of 21.

Divisors of 21 are 1,3,7,21.

We can choose any of the above divisors as k, hence, we have 4 possible values of k;

k=1,

k=3,

k=7,

k=21.

a^21

generates a subgroup of the group generated by a, and it is a subgroup of order 2k since

a^48=a^2k,

by Lagrange's theorem.

(b) -< ak >

To find the divisors k of 48 such that the subgroup generated by ak has order 24, we use the fact that

ak = a^(48/k),

and since the order of a is 48, we have

a^(48/k) = e

if and only if 48/k is a positive integer.

Let's list out the divisors of 48,

Divisors of 48 are

1,2,3,4,6,8,12,16,24,48.

There are 5 values of k such that 48/k is a positive integer, these are

k=1,

k=2,

k=3,

k=4,

k=6.

So, there are 5 subgroups of order 24, and they are generated by

a^48,

a^24,

a^16,

a^12,

a^8

(c)=< ak >

To find the divisors k of 48 such that the subgroup generated by ak has order 48,

we use the same argument as in (b), but this time we need 48/k to be a positive integer.

Let's list out the divisors of 48,

Divisors of 48 are

1,2,3,4,6,8,12,16,24,48.

There are 4 values of k such that 48/k is a positive integer, these are

k=1,

k=2,

k=3,

k=4.

So, there are 4 subgroups of order 48, and they are generated by

a^48,

a^24,

a^16

,a^12.

To know more about Lagrange's theorem visit:

https://brainly.com/question/31637769

#SPJ11

Answer:

True

(Angle-Side-Angle)

The triangles shown below must be congruent is a True Statement.

We have two Triangles in which

There are three angles Congruent in both Triangles.

Also, the side of the triangle is congreunt.

As we know that there is no Criteria which as congruency rule AAA Criteria.

So, we can take two Congruent angles and one Congruent side.

Thus, the statement is True.

Learn more about Congruency here:

https://brainly.com/question/7888063

#SPJ7

Step-by-step explanation:

4f+12=62

4f=62-12

4f=50

f=50/4

f=12.5

Answer:

If Bill grows 6 Inc in 2 years than he grows 3 Inc every year... hope that helps :)

Step-by-step explanation:

Answer:

√89

Step-by-step explanation:

√(4+4)2+(0-5)2

√(8)2+(-5)2

√64+25

√89

To solve the problem we will find the fees for 8 months and then will find the fees for the next 4 months, to find the total fees of the Keecia's gym.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations that are formed according to rules which are dependent on the context.

The numerical expression that can be used to find the total cost of the first year of Keecia’s gym membership is  

75 + (8)(49.99) + (4)(59.99).

Given to us

Total gym fees for the first 8 months

= Number of months x Per month fee for the first 8 months

= 8 x $49.99

= (8)(49.99)

Total gym fees for the next 4 months

= Number of months x Per month fee for the next 4 months

= 4 x $59.99

= (4)(59.99)

Total fees of Keecia's Gym

= membership fee of gym + Total gym fees for the first 8 months

 + Total gym fees for the next 4 months

= $75 + (8)(49.99) + (4)(59.99)

= 75 + (8)(49.99) + (4)(59.99)

Hence, the numerical expression that can be used to find the total cost of the first year of Keecia’s gym membership is  

75 + (8)(49.99) + (4)(59.99).

Learn more about Expressions:

https://brainly.com/question/13947055

Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.

A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.

Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.

Learn more about null hypothesis here:

https://brainly.com/question/29387900

#SPJ11

Answer:

2(4) + 1(5) ÷ 5(4)

8 + 5/20

13/20

3(8) + 2(6) ÷ 6(8)

24 + 12 ÷ 48

36/48

3/4

1(3) + 2(7) ÷ 7(3)

3 + 14 ÷ 21

17/21

3(6) + 5(1) ÷ 5(6)

18 + 5/30

23/30

1(5) + 2(3) ÷ 3(5)

5 + 6/15

11/15

-TheUnknownScientist 72

In statistical hypothesis testing, the P-value is a significant factor. It is the probability of obtaining a test statistic at least as extreme as the one calculated from the data, assuming the null hypothesis to be true. If the null hypothesis is false, the P-value is the probability of a type I error. It is the probability of rejecting the null hypothesis when it is true.

To interpret the P-value correctly, a P-value of 0.054 means that if the null hypothesis is correct, there is a 5.4% probability that the sample will produce a test statistic as extreme as, or more extreme than the one that was observed. If the calculated P-value is higher than the significance level, which is usually 0.05 or 0.01, we cannot reject the null hypothesis.

In the given situation, the sample provides insufficient evidence to reject the owner's claim that the mean weight of Gala apples this year is heavier than usual because the calculated P-value is higher than the significance level. Hence, the correct option is that the P-value suggests that there is not sufficient evidence to reject the null hypothesis.

Know more about null hypothesis here:

https://brainly.com/question/28920252

#SPJ11

Answer: 60

Step-by-step explanation:

From the question, we are informed that the ratio of BMX bikes in a sporting goods store to mountain bikes is 3 to 2 and that the store has 90 BMX bikes .

To calculate the number of mountain bikes that the store has goes thus:

= 2/3 × 90

= 2 × 30

= 60 mountain bikes

Answer:

where is the line?

Step-by-step explanation:

Rewrite the question and I'll do my best to answer it

The statement that , "The set Span{u,v} is always visualized as a plane through the origin" is False because if vectors are scalar multiples of each other, then set Span{u,v} is a line through origin .

The set Span{u,v} is defined as the set of all linear combinations of vectors "u" and "v" . This set can be visualized as a plane in three-dimensional space if the vectors are not scalar multiples of each other.

The plane may not necessarily pass through the origin, unless one of the vectors is the zero vector .

If the vectors are scalar multiples of each other, then the set Span{u,v} is a line through the origin, and if one of the vectors is the zero vector, then the set Span{u,v} is a plane through the origin.

Learn more about Span here

https://brainly.com/question/30358122

#SPJ4

Answer: ∠E = 109°

Step-by-step explanation:

The interior angles of a pentagon add up to 540°:

540 - 121 - 108 - 102 - 100 = 109

∠E = 109°

Hope this helps!

Answer:

d) 5

Step-by-step explanation:

we can observe that the x-value 5 appears twice in the relation. However, in a function or a relation, each x-value should only have one corresponding y-value. Therefore, the repetition of (5, 1) and (5, 2) indicates an inconsistency or ambiguity in the relation. As a result, 5 is not a valid x-value in the domain.

2. At 5π/2 radians, the cosine value is 0, and at 6π/2 radians, the cosine value is 1.

3. The sine of 4 radians is 0. As the angle is on the x-axis and has made two full revolutions, the sine of 6 radians is equal to 0. The sine of two radians, or a whole revolution, is equal to the sine of ten radians, which is likewise zero.

Circle explained in what way?

A circular shape is a sphere with no borders or edges. In mathematics, a circle is a closed form, a two-dimensional shape, and a curved shape. Our immediate environment has a number of circular things, including a car tyre, a wall clock that tells the time, and lollipops.

2. At 5π/2 radians, the cosine value is 0, and at 6π/2 radians, the cosine value is 1.

3. As the angle lies on the x-axis, the sine of 4 radians is 0. As the angle is on the x-axis and has made two full revolutions, the sine of 6 radians is equal to 0. The sine of two radians, or a whole revolution, is equal to the sine of ten radians, which is likewise zero.

To know more about circle visit:

brainly.com/question/29142813

#SPJ1

Answer:

\(\displaystyle 1 = \frac{cos∠A}{cos∠B}\)

Step-by-step explanation:

\(\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ\)

Since this is a 45°-45°-90° triangle, you will have two IDENTICAL legs and the hypotenuse is the value of the leg multiplied by the square root of 2:

\(\displaystyle x\sqrt{2} = HYPOTENUSE \\ x = LEGS \\ \\ 4,242640687 ≈ 3\sqrt{2} \\ \\ \frac{3}{4,242640687} ≈ cos∠B \\ \frac{3}{4,242640687} ≈ cos∠A \\ \\ \frac{\frac{3}{4,242640687}}{\frac{3}{4,242640687}} = 1\)

I am joyous to assist you anytime.

The value of expression cos A / cos B is,

⇒ cos A / cos B = 1

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle ABC is shown in figure.

Now., We know that;

cos A = Base / Hypotenuse

cos A = 3 / 4.24

And, cos B = 3 / 4.24

Thus, The value of expression cos A / cos B is,

⇒ cos A / cos B = (3/4.24) / (3/4.24)

⇒ cos A / cos B = 1

So, The value of expression cos A / cos B is,

⇒ cos A / cos B = 1

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ7

Answer:

2x+6

Step-by-step explanation:

add the numbers:7x+6-5x

combine the like terms:7x+6-5x

2x+6

The correlation coefficient is -0.29.

Correlation refers to a process for establishing whether or not relationships exist between two given variables.

In statistics, correlation coefficients are used to quantify the strength of the association between two variables. Like Pearson's correlation, which is frequently employed in linear regression, there are other varieties of correlation coefficients. It is widely used in statistics and is highly well-liked.

X      Y        X²          Y²           XY

0       8        0           64            8

1        11        1            121           11

3       10       9           100          30

4        13       16         169          52

7        10       49         100         70

10       6        100       36           60

∑X = 25

∑Y = 58

∑X² = 175

∑Y²= 590

∑XY= 231

r = N×∑XY−(∑X∑Y) / √[N∑x2−(∑x)2][N∑y2−(∑y)2]

Putting all the values,

r = 6*231 - (25*58) / √(6*175-625)(6*590-3364)

r = 1368 - 1450 / √(425)(176)

r = -82/ √ 74800

r = -82/ 273.49

r= -0.29

Therefore, the correlation coefficient is -0.29.

To know more about correlation coefficient visit: brainly.com/question/27226153

#SPJ4

Answer:

Step-by-step explanation:

To solve this problem, we need to find the Greatest Common Factor (GCF) which is the greater factor possible in common for all three numbers 5000, 2500 and 245 liters.

5,000 | 2

2,500 | 2

1,250  | 2

625    | 5

125     | 5

25      | 5

5        | 5

1

So, \(5,000 = 2 \times 2 \times 2 \times 5 \times 5 \times 5 \times 5\), \(2,500 = 2 \times 2 \times 5 \times 5 \times 5 \times 5\)

245 | 5

49   | 7

7     | 7

1

\(245 = 5 \times 7 \times 7\)

As you can observe, the greatest common factor is 5, because it's the greater number in common for all three numbers.

Therefore, the greatest recipient possible must be 5 liters capacity.

Answer:

Step-by-step explanation:

The inequality that represents Rita saving money from the second option is 0.059x < 0.49 + 0.019x

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

These statements can be represented as

Option 1: y = 0.49 + 0.019x

Option 2: y = 0.059x

Where y is the total amount and x is the number of minutes

When she saves money, we have

Option 2 < Option 1

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

0.059x < 0.49 + 0.019x

Hence, the inequality is 0.059x < 0.49 + 0.019x

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

Answer:

I think option D

if u want explanation feel free to ask

please give me brainliest

The expression to make sure that it is a function of the second degree is x² + x - 6

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator

When the expression is expanded, it can be represented by f(x) = (x-2)(x+3), which further simplifies to x^2 + x(-2+3) - 2(3) and ultimately results in x^2 + x - 6. Evidently, the highest power of x within the expression is 2, indicating that it's a second-degree function.

Learn more about expressions on

https://brainly.com/question/723406

#SPJ1

Answer:

2.3333333333333333333333333333333 sec

A linear equation in​ slope-intercept form that models the description is c = 1.50m + 8.50.

Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

Assuming the variable c represent the total cost and the variable m to represent the number of movie rentals, a linear equation in​ slope-intercept form that models the scenario is given by:

c = 1.50m + 8.50.

Read more on slope here: brainly.com/question/3493733

#SPJ1