Max wanted to test a new dishwasher detergent to see if it was less likely to leave residue on his dishes. What would be the null hypothesis in Max’s experiment

Answers

Answer 1

Given that Max wanted to test a new dishwasher detergent to see if it was less likely to leave residue on his dishes, the suitable null hypothesis in Max’s experiment will be "the new detergent will leave more residue than the old one".

What is a null hypothesis?

In statistics, a null hypothesis means a typical theory which suggests that no statistical relationship and significance exists in a set of given single observed variable between the two sets of observed data and measured phenomena.

Therefore, the Option B is correct.

Missing options' The new detergent will leave less residue than the old one. The new detergent will leave more residue than the old one. O The new detergent is equally likely to leave residue compared to the old detergent. The old detergent will leave more residue than the new detergent."

Related Questions

You want to put a 3 inch thick layer of topsoil for a new 13 ft by 31 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.

Answers

You will need to order 6 cubic yards of topsoil for your garden.

What is cubic yards?

Cubic yards (yd3) is a unit of volume measurement that is equal to the volume of a cube with sides of one yard in length. It is commonly used to measure the volume of a variety of materials, such as soil, mulch, rock, sand, and gravel. It is also used for measuring the capacity of containers such as buckets, barrels, and tanks. Cubic yards are a popular unit of measurement for landscaping projects, construction projects, and many other types of projects.

To calculate the cubic yards needed to order, you will need to first calculate the total volume of topsoil needed for the garden. To do this, you will multiply the area of the garden (13 ft x 31 ft) by the thickness of the topsoil (3 in). This will give you a total volume of 156.5 cubic feet. To convert this to cubic yards, divide by 27 (1 cubic yard = 27 cubic feet). This will give you a total of 5.8 cubic yards. Since the store sells in increments of 1/4 cubic yards, you will need to round up to the next .25 increment, which would be 6 cubic yards. Therefore, you will need to order 6 cubic yards of topsoil for your garden.

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Kenneth did of 1/3 of his laundry on Sunday and 7/15 of his laundry on monday. what fraction of laundry did kenneth do in total?

Answers

1/3 + 7/15 =

4/5

Therefore the answer is 4/5. So Kenneth did 4/5 of his laundry in total.

Hope this helps!

So first find a common denominator.
It is 15. 1/3 turns into 5/15, because
3x5 = 15 & 5x1 = 5
There equaling 5/15
5/15 + 7/15 = 12/15
Both are divisible by 3
3 goes into 12, 4 times
3 goes into 15, 5 times
Giving you the final answer of 4/5

Find x

14.2
18.5
find correct answer

Answers

From the circle the value of angle x is 90 degrees

We have to find the value of x

The radius of the circle is 18.5

As we observe the figure the angle x is opposite to the 90 degrees

The angle x and angle 90 degrees are vertical angles

We know that the vertical angles are equal or same

∠x = 90 degrees

Hence, the value of angle x is 90 degrees from the circle

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Solve 2/3c - 1 = 1+2/3c
No solution
Infinite Solution
c = 6/4
c = 2/3

Answers

The variable 'c' in the given expression has No Solution.

Given, that

2/3c - 1 = 1 + 2/3c

Now, as we have same coefficient of the variable c i.e. 2/3

So, On subtracting 2/3c from both the sides, we get

2/3c - 2/3c - 1 = 1 +2/3c - 2/3c

-1 ≠ 1

Hence, we got no solutions that can satisfy the given expression.

So, the variable 'c' in the given expression has No Solution.

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How many solutions does this system of equations have y = -1/3x + 7. y = -2x^3 + 5x^2 + x - 2

Answers

The system of equations has one solution.

How many solutions does this system has?

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

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How many solutions does this system of equations have y = -1/3x + 7. y = -2x^3 + 5x^2 + x - 2

10. Higher Order Thinking Each of 5 friends has x action figures in
his or her collection. Each friend buys 11 more action figures. Now
the 5 friends have a total of 120 action figures.
a. Write an equation that models the problem.
b. Solve the equation to find the number of action figures, x, that
each friend had originally.

Answers

Each friend had originally 13 action figures before buying 11 more.

Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.

a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.

Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.

The total number of action figures will be 5(x + 11) = 5x + 55.

Now, according to the problem,5x + 55 = 120

This is our equation that models the problem.

b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.

5x + 55 = 120

5x = 120 - 55 (subtract 55 from both sides)

5x = 65x = 13

Therefore, each friend had originally 13 action figures before buying 11 more.

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According to the CDC, only 20% of Americans get enough exercise each week. You conduct a survey of 200 people.
a. What is the probability that 45 or more people in your survey get enough exercise? Use a normal approximation for p hat

b. Find the exact binomial probability that 45 or more people in your survey get enough exercise.

Answers

The exact binomial probability that 45 or more people in the survey get enough exercise is 0.0853.

What is mean?

The mean (also called the arithmetic mean or average) is a measure of central tendency that represents the typical or average value of a set of data. The mean is calculated by summing up all the values in the data set and dividing by the number of values.

According to question:

a. To calculate the probability that 45 or more people in the survey get enough exercise using a normal approximation for p hat, we need to first find the mean and standard deviation of the sample proportion.

The mean of the sample proportion is:

μ = p = 0.20

The sample proportion's standard deviation is:

σ = √[(p(1-p))/n] = √[(0.20)(0.80)/200] = 0.034

Using the normal distribution with a continuity correction, we can find the probability of 45 or more people getting enough exercise:

z = (45 - 0.20200 + 0.5) / √(0.200.80*200) = 1.24

P(Z > 1.24) = 0.1082

Therefore, the probability that 45 or more people in the survey get enough exercise is approximately 0.1082.

b. To find the exact binomial probability that 45 or more people in the survey get enough exercise, we can use the binomial cumulative distribution function (CDF) with n = 200 and p = 0.20:

P(X ≥ 45) = 1 - P(X < 45) = 1 - binomcdf(200, 0.20, 44) = 0.0853

Therefore, the exact binomial probability that 45 or more people in the survey get enough exercise is 0.0853.

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A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.

Answers

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and y = 8x - 16

Finding the equation perpendicular to the tangent

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

The smallest slope on the curve

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

The equation of the tangent line

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

Answers

Answer:

The Answer is 3/2 in cube number.

Step-by-step explanation:

3 3/8= 8 × 3 + 3 / 8

= 24 + 3 / 8

= 27 / 8= (3/2)^3

So , the answer is 3/2 in cube number.

Thank you ☺️☺️

I need the answer plsss

Answers

Answer: 12.5

Step-by-step explanation: Well 50 diviedby 4 = 12.5

For each value of u determine whether it is a solution to -2u-6<-20

Answers

Answer:

u > 7

Step-by-step explanation:

-2u -6 < -20 Add 6 to both sides

-2u - 6 + 6 < -20 + 6

-2u < -14 Divide both sides by -2. When you multiply or divide both sides by a negative number, you must flig the sign.

$\frac{-2u}{-2}$ > $\frac{-14}{-2}$

u > 7

Helping in the name of Jesus.

The answer is:

u > 7

In-depth explanation:

You haven't told me what the values of u are, but I'll solve the equation for u.

Add 6 on each side:

$\bf{-2u-6 < -20}$

$\bf{-2u < -14}$

Divide each side by -1 and reverse the sign:

$\bf{2u > 14}$

Now divide each side by 2

$\bf{u > 7}$

(Pythagorean Theorem, Right Angle) for 100 POINTS!
(Will even give Branliest for this easy work)
Are these answers correct?

Answers

Step-by-step explanation:

there is nothing missing. this is a complete proof.

yes, the various steps are correct.

Simply X cubed times X Raised to the seventh power

Answers

Answer:

If the expression is , then the answer is the first option.

If the expression is , then the answer is the third option.

Step-by-step explanation:

Remember that when you have a radical expression in the form , you can rewrite as:

Then:

- If the expression is , then you can rewrite it in the following radical form:

(This form matches with the first option.)

- If the expression is , then you can rewrite it in the following radical form:

(This form matches with the third option).

The temperature in Chicago was -3℉ at 8am. temperature increased 5℉ by noon. The temperature then decreased 7℉ by 4pm. What was the temperature in Chicago at 4pm?

Answers

Answer:

The temperature is -5F

Step-by-step explanation:

You start at -3 then add 5 to get 2 degrees Fahrenheit then you subtract 7 to get -5 degrees Fahrenheit

Work out the volume of the prism height of 12 4 and five

Answers

The calculated volume of the prism is 702 cubic cm

Finding the volume of the prism

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

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

Answers

Using probability we get (a) P(1|A) = 1/2 and (b)P(1|B) =3/4 , hence P(1|A) ≠ P(1|B).

Probability is the study of chance . The part of mathematics known as probability deals with fractional representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, 0 denotes the event's impossibility and 1 denotes certainty.

Probability is calculated by the fraction possible outcomes ÷ total outcomes

a) The first spinner has the total 4 sections. so there are 4 total outcomes.

Favorable outcome = 1

Total number of favorable outcome=2

Probability P(1|A) = favorable outcome ÷ total outcome

∴ P(1|A) =2/4 or P(1|A) =1/2

b) The first spinner has the total 4 sections. so there are 4 total outcomes.

Favorable outcome = 1

Total number of favorable outcome=3

Probability P(1|B) = favorable outcome ÷ total outcome

∴ P(1|B) =3/4 or P(1|B) =3/4

c)Therefore P(1|A)≠P(1|B) so the events A and B are dependent.

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Estimate the sum of 8.43 + 8.12 + 7.98.

Answers

Answer:

we estimate it and get

the answer is 25.53

Can you help me solve using the elimination method:x + 2y = -13x - y +4z = 17-4x + 2y - 3z = -30

Answers

we subtract the first equation from the third to eliminate y

$\begin{gathered} x+2y+0z=-1 \\ -4x+2y-3z=-30 \\ ---------------- \\ 5x+0y+3z=29 \end{gathered}$

we multiply the second equation with 2 and sum it to the third, to eliminate y too

$\begin{gathered} 6x-2y+8z=34 \\ -4x+2y-3z=-30 \\ ---------------- \\ 2x+0y+5z=4 \end{gathered}$

the new equations are the fourth and fifth respectively

Now we will eliminate Z from these two equations

we multiply the fourth equation with 5/3

$\begin{gathered} 5x(\frac{5}{3})+3z(\frac{5}{3})=29(\frac{5}{3}) \\ \frac{25}{3}x+5z=\frac{145}{3} \end{gathered}$

We can name this the sixth equation but it is the same what the fourth

we subtract the sixth equation from the fifth to eliminate z

$\begin{gathered} \frac{25}{3}x+5z=\frac{145}{3} \\ 2x+5z=4 \\ ------------ \\ \frac{19}{3}x+0z=\frac{133}{3} \end{gathered}$

now we can solve X and replace in the other equations to find Y and Z

$\begin{gathered} \frac{19}{3}x=\frac{133}{3} \\ x=\frac{133\times3}{19\times3} \\ x=7 \end{gathered}$

replace x=7 on the fiste equation to find Y

$\begin{gathered} (7)+2y=-1 \\ 2y=-1-7 \\ y=\frac{-8}{2} \\ y=-4 \end{gathered}$

replace y=-4 and x=7 on the second equation to find Z

$\begin{gathered} 3(7)-(-4)+4z=17 \\ 21+4+4z=17 \\ 4z=17-21-4 \\ z=\frac{-8}{4} \\ z=-2 \end{gathered}$

you can check replacing the values in any equation and the equality must be satisfied

Harvey collected h apples. feinstein collected 3 less than twice the number of apples that harvey collected. write an expression to show how many apples that harvey collected

Answers

Answer:

h*2-3=f

f*2+3=h

Step-by-step explanation:

brainliest if right thx:)

Answer:

Harvey collected "h" apples.Feinstein collected 3 less than twice the number of apples that harvey collected i.e., "(2h-3)" apples.

a rectangular tray is 820mm long and 400mm wide .find its area in m²

Answers

Answer:

0.328 $m^{2}$

Step-by-step explanation:

820mm = 82cm = 0.82m

400mm = 40cm = 0.40m

0.82 x 0.40 = 0.328

If a rectangular tray is 820mm long and 400mm wide. Its area in m² will be: 0.328m²

Using this formula

Area=Length × Width

First step is to covert from millimeter to meter

1 millimeter=0.1 centimeter

Hence:

Length=820mm×0.1÷100

Length=0.82m

Width=400mm×0.1÷100

Width= 0.40m

Let plug in the formula

Area=0.82m x 0.40m

Area= 0.328m²

Inconclusion If a rectangular tray is 820mm long and 400mm wide. Its area in m² will be: 0.328m².

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The variance of a distribution is 195. What is the standard deviation, rounded to the nearest thousandth?

Answers

Given:

The variance of a distribution = 195.

To find:

The standard deviation, rounded to the nearest thousandth.

Solution:

Standard deviation of a distribution is the square root of the variance of the distribution.

Here, the standard deviation of the distribution is

$S.D.=\sqrt{195}$

$S.D.=13.96424$

$S.D.\approx 13.964$

Therefore, the standard deviation is 13.964.

-3w-4+5w=32 what is the solution?

Answers

Answer:

w = 18

Step-by-step explanation:

Step 0: Set up the equation

=> -3w - 4 + 5w = 32

Step 1: Move the same variable together

=> -3w + 5w = 32 + 4

Step 2: Add up and simplify

=> 2w = 36

Step 3: Divide both by 2

=> w = 18

Answer:

W=18

Step-by-step explanation:

-3w-4+5w=32

-3w+5w-4=32

2w-4=32

2w=32+4

2w=36

W=18

use the given confidence level and sample data to find a confidence interval for estimating the population mean m.
13. Salaries of college graduates who took a statistics course in college: 95% confidence; n 5 41, x 5 $67,200, and s is known to be $18,277

Answers

The required we can be 95% confident that the population means the salary of college graduates who took a statistics course in college is between $61605.4 and $72794.6.

What is Statistic?

Statistic is the study of mathematics that deals with relations between comprehensive data.

Here,
We can use the following formula to calculate the confidence interval for estimating the population means:

Confidence interval = x ± z*(s/√n)

For a 95% confidence level, the critical value is 1.96 (from the standard normal distribution).

Plugging in the values from the problem, we get:

Confidence interval = $67,200 ± 1.96*($18,277/√41)

Confidence interval = $67,200 ± $5594.6

Confidence interval = ($72794.6, $61605.4)

Therefore, we can be 95% confident that the population mean salary of college graduates who took a statistics course in college is between $61605.4 and $72794.6.

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24-67-88+77-77+78-55+888

Answers

Answer:

780

Step-by-step explanation:

24 - 67 = - 43

- 43 - 88 = - 131

- 131 + 77 - 77 = - 131

- 131 + 78 = - 53

- 53 - 55 = - 108

- 108 + 888 = 780

Use each picture or description of a triangle, write and solve an equation in order to find the number of degrees in each angle

Answers

Answer:

4x + 7x - 2 + 5x - 10 = 180

16x - 12 = 180

16x = 192

x = 12

m<A= 4x = 4(12) = 48

m<B = 7x - 2 = 7(12) - 2 = 84 - 2 = 82

m<C = 5x - 10 = 5(12) - 10 = 60 - 10 = 50

Step-by-step explanation:

Help you will get brainliest

Answers

I think B or C most likely B

God bless!! <3

Select the better deal in the pair. Then give the unit rate for the better deal.

$182/7g
or
$342/9g

Answers

Answer:182/7g

Step-by-step explanation: 182 divide by 7= 26

342 divide by 9=38

and you want the lowest cost so a.

Find the product of 6.35 x 5.2.

Answers

Answer:

33.02

Step-by-step explanation:

24 13/1,000 as a decimal number

Answers

Answer:

24.013.

Step-by-step explanation:

Simplify: 24 13/1,000 = 24013/1000. Than just use a calculator to make it into a decimal.

forty percent of N is equal to two hundred forty. how do i write in number?

Answers

40% of 600 is 240 :)

The number N whose forty percent is 240 is 600, or we say that 40% of 600 is 240

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

$\dfrac{a}{100} \times b$

For this case, we are specified that:

40% of N = 240

Since 40% of N is $\dfrac{N}{100} \times 40$, thus, we get

$\dfrac{N}{100} \times 40 = 240$ (as they both are same quantity, ie. 40% of N)

Now, solving it further to get value of N:

$\dfrac{N}{100} \times 40 = 240\\\\\text{Multiplying 100 on both the sides}\\\\N \times 40 = 24000\\\\\text{Dividing both the sides by 40}\\\\N = 24000/40 = 600$

Thus, 40% of 600 is 240 or we say that the number N whose forty percent is 240 is 600

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