Thirty students in a chemistry class each completed a particular lab assignment. Gerald and Sharon each collected data from the students to estimate the mean time it took for the class to complete the assignment.
Gerald asked 4 of the students now long eacn one ortem took to complete the assionment and correcuy carculated d fie an time of 38 minutes. Sharon asked 10 different students in the class the same question, and correctly calculated a mean time of 32 minutes
Both Gerald and Sharon claim their calculated mean time for completing the assignment is the better estimate of the actual mean time for the whole class. Which of the following statements best explains who is correct?

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Answer:

  additive inverse

Step-by-step explanation:

The equation shows that the sum of a number and its additive inverse is zero. This is the additive inverse property.

_____

Additional comments

This property is used, together with the identity property of addition, to solve equations by making terms disappear where you don't want them.

Example:

  x + 1 = 3

We would like to remove the +1 in order to find the value of x. Using the additive inverse property, we add the additive inverse of +1 to both sides of the equation.

  x +1 -1 = 3 -1

The additive inverse property tells us the sum of +1 and -1 is zero, so this becomes ...

  x +0 = 2

The additive identity property tells us the sum of x and 0 is simply x, so ...

  x = 2

Answer:

you can multiply the number of cookies with the cost of each box

Step-by-step explanation:

60 (number of boxes) x 3.50 (the cost for each box) = $210

42 (number of boxes) x 3.50 (the cost for each box) = $147

56 (number of boxes) x 3.50 (the cost for each box) = $196

I hope this helpsss :)

The solution is, equation of linear function will be y = -2/7x + 2.

We have,

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given, The y-intercept is 2. The function is positive for x < 7. The function is decreasing for all values of x.

Thus the x-intercept of linear function will be 7

So two points on the line are (0, 2) and (7, 0)

The slope-intercept form of the equation of a line

y=mx+b,

where m is the slope

b is the y-intercept

since, slope = (y - y')/(x -x')

In our case,

Slope = (0-2)/7-0

Slope = -2/7

Thus, equation of line,

y = -2/7x + 2

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complete question:

Using the given key features, sketch a linear grapgh.

Answer:

a)

b)0.1

pls refer to the pic

A probability value equal to or smaller than 0.05 would indicate that Gaurav's null hypothesis should be rejected at the 5% significance level.

In hypothesis testing, the significance level, denoted as alpha (α), is the predetermined threshold used to determine whether to reject the null hypothesis.

Gaurav has specified a 5% significance level, which means he wants to control the probability of making a Type I error (rejecting the null hypothesis when it is true) at 5% or less.

If Gaurav were to conduct a test and calculate the p-value, he would compare it to the significance level of 0.05.

The p-value is the probability of observing a test statistic as extreme as the one obtained, assuming the null hypothesis is true.

If the p-value is less than or equal to the significance level (p ≤ α), it indicates that the observed difference is unlikely to occur by chance alone under the assumption of the null hypothesis.

Gaurav would reject the null hypothesis and conclude that there is a significant difference between the average amount of medication his patients are taking and the national average.

Conversely, if the p-value is greater than the significance level (p > α), it suggests that the observed difference could reasonably occur by chance, and Gaurav would fail to reject the null hypothesis.

This would imply that there is no significant difference between the average medication amounts of Gaurav's patients and the national average.

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In the quadratic equation y = a\(x^{2}\) + c ,the value of x = ± \(\sqrt \frac{y-c}{a}\)

A quadratic equation is any equation containing one term wherein the unknown is squared and no term wherein it's far raised to a higher power.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, in which a and b are the coefficients, x is the variable, and c is the constant term.

To find the value of x

Assuming \(a\neq o\)

First, subtract c from both the sides to get:

\(y-c=ax^{2}\)

then, divide both sides by \(a\) and transpose to get:

\(x^{2} =\frac{y-c}{a}\)

So, \(x\) must be a square root of \(\frac{y-c}{a}\)  and we can deduce:

\(x=\) ± \(\sqrt \frac{y-c}{a}\)

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Answer:

a. 90

Step-by-step explanation:

I believe you meant 1 mg of Cogentin.

In medical practice, "qam" means every morning while "qpm" means "every afternoon/evening."

1 mg of Cogentin is equivalent to two 0.5 mg tablet.

This means that the patient needs to take three 0.5 mg tablets per day, inclusive of one 0.5 mg qpm.

Let's solve.

3 tablets per day x 30 days = 90 tablets

A total of 90 tablets are needed for a 1-month supply.

\(\text{view explanation pls}\)

The first step is to write the line's equation in point-slope form

y-y1=m(x-x1)

y-0=4(x-3)

use the distributive property

y-0=4x-12

y=4x-12

Well, let's start with the y-intercept, which is -12 or (0, -12)

After plotting the point (0, -12) move up 4, over 1, up 4, over 1, up 4, over 1.

Do the same on both sides of the y-intercept.

hope helpful ~

Answer:

94.2 ft of fencing

Step-by-step explanation:

To answer this, find the circumference, C, of the garden, using the circumference formula C = 2(pi)r.

Here, with r = 15 ft, we get C = 2(3.14)(15 ft) = 94.2 ft of fencing will enclose this garden.

The equation of the line  in slope-intercept form is y = -x/12 + 23/4

Given that: the line is perpendicular to the line y= 12x−2 and it contains the (−3,6).

The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system

The slope-intercept form of a straight line is:

y = mx + c,

where m is the slope and c is the y-intercept

When the two lines are perpendicular, the product of their slope is -1 i.e.

m₁ x m₂ = -1

where m₁ and m₂ represent the slope of the lines

Let the slope of the given line be m₁ and the slope of the unknown line be m₂

Line1(given):

y = 12x−2   and m₁ x m₂ = 12

m₁ x m₂ = -1

12 x m₂ = -1

m₂= -1/12

Line 2(unknown) with the point (−3,6):

y = mx + c

6 = -1/12 (-3) + c

6 = 1/4 + c

c = 6 -1/4 = 23/4

y = -x/12 + 23/4

Therefore, the slope-intercept form of the equation of the line is y = -x/12 + 23/4

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Answer:

Number of CDs sold each day Frequency

0 – 10 10

11 – 20 34

21 – 30 24

31 – 40 13

41 – 50 7

51 – 60 12

Answer:

Question #12: a. ⅛ b. ³/₂₀

Question #4: 9 ÷ 3 = 3

Question #5: a. 80½ yards² b. $1288.00

Question #9: 1½ inches

Question #8: 16/20

Step-by-step explanation:

I hope this helped!

Answer:

n mathematics, the range of a function may refer to either of two closely related concepts: The codomain of the function The image of the function Given two sets X and Y, a binary relation f between X and Y is a function if for every x in X there is exactly one y in Y such that f relates x to y

Step-by-step explanation:

based on this website i saw;

take the deravative

f'(x) = 4x - 12

0 = 4x - 12

x = 3

plug into the equation;

2(3)^2 - 12(3) + 9 = - 9

(3,-9)

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(-0.3h-4k+3\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(-(0.3h+4k-3)\\------------\\-1 * 0.3h = -0.3h\\\\-1 * 4k = -4k\\\\-1 * -3 = 3\\\\\\-(0.3h+4k - 3) \rightarrow \boxed{-0.3h-4k +3}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

$2.80

Step-by-step explanation:

23.60 - 12.40 = 11.2

11.2 ÷ 4 = 2.80

$2.80

The domain of the given graph is All real numbers except 0.

Domain:

Domain refer the set of inputs accepted by the function. Basically, the set of all x axis values are the domain for the function.

Given,

Here we have the graph.

And we have to find the domain for the given graph.

While we looking into the given graph we have identified that there are two line are passing on the coordinate plane.

And the graph shows a particular case of a hyperbola, which is continuous for all values of x, except the value of x where discontinuity exists. Therefore, the domain of the function is all real numbers except 0.

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Answer:

Step-by-step explanation:

1 1/2 cup of sugar is needed for a full batch

To make 2/3 of a batch sugar is needed:

Answer:

Loss is Rs. 78

Step-by-step explanation:

Solution:

Given,

Here,

L%= L/CP ×100%

or,. 5 =L/1560×100

or,. 5×1560/100 =L

or,. L= Rs.78

Therefore, Loss is Rs.78

The observational unit is Harley and the variable is 0, 1, 2, ..., 10.

When gathering statistical data, information is gathered and statistics are compiled on an observation unit, which is also known as a statistical unit occasionally. An observation is the value of a certain variable at a specific time.

The observational unit in this scenario is Harley and the variable is the number of times Harley chose the correct cup out of 10 trials. The variable can take on the values of 0, 1, 2, ..., 10, where 0 represents the number of incorrect choices and 10 represents the number of correct choices.

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Answer:

There are 3 students at each table

Step-by-step explanation:

If Ms. Joseph has 6 tables to begin with and she sets up 2 more that is 8 tables in total. 24 divided by 8 is 3. So there are 3 students at each table.

Answer:

C

Step-by-step explanation:

Given

V = πr²h

Rounding to the nearest whole number gives

π ≈ 3

r ≈ 4

h ≈ 6

Then

V = 3 × 4² × 6 = 3 × 16 × 6 = 288 in³

Answer:

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

Formula for area of a rectangle with dimensions l and w is:

Substitute 10 for l and 4 for w:

Answer:

Two of the sides are 25cm and the other two sides are 35cm.

Step-by-step explanation:

The perimeter is the distance all the way around the shape.

The shape is a parallelogram, so two sides across from each other are the same length. And the other two sides are also the same as each other. See image.

The shorter sides can be labelled x and the longer sides can be labelled x + 10. This is because the question said the long side is 10cm more than the short side.

see image.

Add up all the sides to make them equal to the perimeter. Set it equal to 120. See image.

Solve for x.

x + x+10 + x + x+10 = 120

4x + 20 = 120

Subtract 20.

4x = 100

Divide by 4.

x = 25

The short sides are 25cm and the long sides are 35cm.

Check:

25+35+25+35=

120 Check!

Answer:

6 inch

Step-by-step explanation:

If you remember the concept of how to find volume of cube then its pretty easy.

You find it by multiplying the length of one side by itself 3 times.

In this case we have to do opposite so we have to just find the cube root of 216 which is 6.

Pls make me brainliest if you find it helpful.

Answer:

The answer is 6 i know this because it said it was right on IXL but it may not be true

Step-by-step explanation:

The simple random sample of 200 eggs

Statistic=Proportion of eggs in the sample that contain salmonella.

p = 0.045

The population is the individuals that are being studied.

population=All eggs in one day

A sample is the part of the population of which information was actually collected.

Sample=The simple random sample of 200 eggs

A parameter is a descriptive measure for a population.

Parameter=Proportion of eggs shipped that day that contain salmonella.

p = 0.1 % =0.001

A statistic is a descriptive measure for a sample.

STATISTIC=Proportion of eggs in the sample that contain salmonella.

p=9÷200 = 0.045

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The exact expression for g(x) is 2.25cos((2π/4.5)×(x-3.5)) - 4.

A function can be represented using a formula or an equation, and it can be graphed on a coordinate plane. The input values are typically represented on the x-axis and the output values on the y-axis.

From the given information, we know that the function g(x) has a maximum point at (3.5, -4) and a minimum point at (-1, -5).

The general form of a cosine function is f(x) = A×cos(Bx + C) + D, where A is the amplitude, B is the period, C is the phase shift, and D is the vertical shift.

Since the function has a maximum point at (3.5, -4), we know that the graph has been shifted to the left by 3.5 units. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) + D.

Similarly, since the function has a minimum point at (-1, -5), we know that the graph has been shifted upwards by 1 unit. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) - 4.

To determine A and B, we can use the fact that the period of the function is 4.5 units (the distance between the maximum and minimum points). Therefore, we have B = 2*pi/4.5.

To determine A, we can use the fact that the amplitude is half the distance between the maximum and minimum points, which is 0.5*(5-(-4)) = 4.5. Therefore, we have A = 4.5/2 = 2.25.

Substituting these values into the equation for g(x), we have:

g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4

Therefore, the exact expression for g(x) is:

g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4.

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Answer:

Below

Step-by-step explanation:

Find unit rate (since it starts at 0,0)

at 45 seconds  it is 900 bottles

             900 bottles / 45 seconds = 20 bottle / sec

20 bottles / sec * 80 sec = 1600 bottles

Answer:

(-2,1), (0,1), and (2,0). its over the y axis

Step-by-step explanation:

Answer:

shift it 3 values right and 2 units up

Step-by-step explanation:

moving x-axis and moving y-axis