In a blind taste test, do people prefer pâté or dog food? To investigate, Bohannon et al. (2010) presented 1818 college‑educated adults with unlabeled samples of dog food (Newman's Own Organics Canned Turkey & Chicken) and four meat products meant for humans (duck liver mousse, pork liver pâté, liverwurst, and Spam). Participants were asked to rank their preferences. Two of 1818 participants ranked the dog food first, whereas the other 1616 participants chose one of the other items. Based on these results, can you conclude that people are less likely to prefer dog food over all human food than would be expected by chance? Use the significance level ????=0.05.level α=0.05. C

Answer:

[tex] Range = 60-5=55[/tex]

In order to find the variance and deviation we need to find the mean with this formula:

[tex] \bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]

And replacing we got:

[tex] \bar X =36.07 [/tex]

Now we can find the variance with the following formula:

[tex]s^2 =\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}[/tex]

And replacing we got:

[tex] s^2=357.610[/tex]

And the standard deviation would be:

[tex] s = \sqrt{357.610}= 18.911[/tex]

For this case since the range observed is large is better to use a measure of variation in order to check the spread of the values and take a decision useful

Step-by-step explanation:

For this case we have the following dataset:

60 58 55 53 47 45 44 43 25 25 20 18 7 5

We can find the range with this formula:

[tex] Range = Max-Min[/tex]

And replacing we got:

[tex] Range = 60-5=55[/tex]

In order to find the variance and deviation we need to find the mean with this formula:

[tex] \bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]

And replacing we got:

[tex] \bar X =36.07 [/tex]

Now we can find the variance with the following formula:

[tex]s^2 =\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}[/tex]

And replacing we got:

[tex] s^2=357.610[/tex]

And the standard deviation would be:

[tex] s = \sqrt{357.610}= 18.911[/tex]

For this case since the range observed is large is better to use a measure of variation in order to check the spread of the values and take a decision useful

Answer:

[tex] f(t) = 6000 (\frac{1}{2})^t^/^3 [/tex]

Step-by-step explanation:

Let's take the equation:

[tex] y = y_0 e^-^k^t[/tex]

Given the initial population of bacteria = 6000,

[tex] y = 6000e^-^k^t[/tex]

Population of bacteria after 3 hours is 3000.

y(3) = 3000

Thus,

[tex] 6000e^-^k^3 = 3000[/tex]

[tex] e^-^k^3 = \frac{3000}{6000}[/tex]

[tex] e^-^k^3 = \frac{1}{2}[/tex]

[tex] (e^-^k)^3 = \frac{1}{2}[/tex]

[tex] e^-^k= (\frac{1}{2})^1^/^3[/tex]

Let's substitute [tex] (\frac{1}{2})^1^/^3 [/tex] for [tex] e^-^k[/tex] in [tex] y = 6000e^-^k^t [/tex]

Therefore, we have:

[tex] 6000e^-^k^t [/tex]

[tex] = 6000 [(\frac{1}{2}) ^1^/^3]^t[/tex]

[tex] = 6000 [\frac{1}{2}] ^t^/^3 [/tex]

Answer:

7.4736

Step-by-step explanation:

A = 144% of 5.19 means: A = (144/100) x 5.19 =  7.4736

Hope this helps!

Answer:

From our calculations the large jar is the best value for money because a penny buys more honey

Step-by-step explanation:

We will determine which has the best value for money using the quantity a pound can purchase.  

firstly for the large jar.

if £4.10 will purchase 540g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

[tex]x=[/tex]  [tex]\frac{1.00*540g}{4.10}[/tex]

[tex]x= 131.7grams[/tex]

Hence for the large jar a penny would buy 131.7g of honey

secondly for the small jar

if £2.81 will purchase 360g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

[tex]x=\frac{1.00*360g}{2.81}\\x= 128.1gram[/tex]

Hence for the small jar a penny would buy 128.1g of honey

Answer:

0.80 + 0.65 = 1.45

Step-by-step explanation:

apple: 0.80

orange: 0.65

Answer:

The correct answer to the following question will be Option 1 (All Montana residents).

Step-by-step explanation:

Other choices aren't linked to just the scenario in question. Option 1 seems to be the perfect solution.

Answer:

y-2=0

Step-by-step explanation:

In y=mx+b

m=(y2-y1)/(x2-x1) [2]

Or another way of thinking about it is rise over run.

define point (-1,2) as x1,y1

define point (5,2) as x2,y2

substitute into formula [2]

m=(2-2)/(5-(-1))

We know that 2-2=0 therefore the slope (m) is 0

y=0x+b

Or simply

y=b

to solve for b we substitute into the formula any of the points

2=b for y1

or 2=b for y2

b=2

therefore y=2

to convert it into general form make the equation equal 0

y-2=0

Question:

For the following exercise, determine the range (possible values) of the random variable. A batch of 500 machined parts contains 10 that do not conform to customer requirements. Parts are selected successively, without replacement, until a nonconforming part is obtained. The random variable is the number of parts selected.

Answer:

Possible values are all integers from 1 to 491.

{1,2,...........491}

Step-by-step explanation:

Given:

Total number of machined parts = 500

Number that do not conform to customers requirements = 10

Number that conforms to customers requirements = 500 - 10 = 490

Since, parts are selected successively, without replacement, until a nonconforming part is obtained, the range of the random variable (number of parts selected) here will be all integers from 1 to 491 ie {1,2,...........,491}.

Here, we have a total of 490 conforming parts, and 10 non conforming parts, there must be a non-conforming part among 491 selections, considering the fact that total number of parts are 500

There will be one non-confirming part in the 491 selections and this can be determined by using the given data.

Given :

Given that the total number of parts is 500 that contains 10 that do not conform to customer requirements. So, the total number of parts that conform to customer requirements is (500 - 10) 490.

It is also given that parts are selected successively, without replacement, until a nonconforming part is obtained so, the range of the random variables is [1,491]

So, there will be one non-confirming part in the 491 selections.

For more information, refer to the link given below:

https://brainly.com/question/23044118

Answer:

Step-by-step explanation:

From the information given :

The null hypothesis [tex]H_o : \sigma = 60[/tex]

The alternative hypothesis  [tex]Ha : \sigma \neq 60[/tex]

Given that:

the sample size n = 21

sample standard deviation s = 68

population standard deviation σ = 60

a) The level of significance [tex]\alpha =0.01[/tex]

b) The chi-square statistics can be calculated as:

[tex]\bar X = \dfrac{(n-1)s^2}{\sigma^2}[/tex]

[tex]\bar X = \dfrac{(21-1)68^2}{60^2}[/tex]

[tex]\bar X = \dfrac{(20)4624}{3600}[/tex]

[tex]\bar X = 25.69[/tex]

The degree of freedom is :

= n - 1

= 21 - 1

= 20

Answer:

17

Step-by-step explanation:

the amount of visits given by the problem is:

[tex]v=10[/tex]

and we have that the equation that relates the number of visits with the total cost is:

[tex]c=v+7[/tex]

where [tex]c[/tex] is the total cost for [tex]v[/tex] number of visits.

We plug into this equation the known value of visitors:

[tex]c=10+7[/tex]

and we solve this expression:

[tex]c=17[/tex]

the total cost for 10 visitors is 17.

Answer:

8/27

Step-by-step explanation:

4/9 * 2/3

Multiply the numerators

4*2 = 8

Multiply the denominators

9*3 = 27

Put the numerator over the denominator

8/27

This is in simplest form

Answer:

Kojo had 1800 bags of rice in stock for sale.

In January, he sold 2/3 of it.

=> Number of bag he sold in January: 1800 x 2/3 = 1200

=> The number of bags of rice left: 1800 - 1200 = 600

In February, he sold 3/4 of what was left.

=> Number of bag he sold in February: 600 x 3/4 =450

=> Total number of bags he sold in January and February:

1200 + 450 = 1650

=> The number of bags of rice left at the end of February: 600 - 450 = 150

Hope this helps!

:)

Answer:

N = 35 × 34^6

N = 54,068,154,560

Step-by-step explanation:

Given;

The license plate have 7 characters.

Each character can be a capital letter, or a digit except for 0.

There are 26 capital letters

And there are 9 digits excluding 0

The total number of possible entries in each character is;

26+9 = 35

The number of license plates in which no two adjacent characters are the same are;

For no two adjacent characters of the license plate not to be the same that is no two characters that follow each other can be the same, the number of possible entries in the adjacent characters apart from the first character would be reduced by one.

N = 35 × 34 ×34×34×34×34×34

N = 35 × 34^6

N = 54,068,154,560

Therefore, there are 54,068,154,560 possible license plates

The correct answer is B. What are the ages of all your cousins?

Explanation:

Statistics focus on using numbers to analyze variables in a population or in a specific sample taken from this population. This means statistical questions can be answered by analyzing different features in a population. For example, you can wonder what is the time students on a class spend doing homework?.

According to this, the one that is a statistical question is "What are the ages of all your cousins?" because this question focuses on analyzing one variable or factor in a population; in this case, the ages of your cousins, which requires gathering information and then using numbers to represent and analyze this, which is the objective of statistics.

Step-by-step explanation:

use the formula in picture

Answer:

a. Yes

b. No

Step-by-step explanation:

In a hypothesis​ test, the null hypothesis is in fact true.

a. Is it possible to make a Type I​ error?

Yes, it is possible to make a type I error because a type I error typically occurs if the null is rejected when it is actually true.

b. Is it possible to make a Type II​ error?

It is not possible to make a type II error because the condition for a type II error is that the null is in fact not true but we fail to reject it.

Answer:

B

Step-by-step explanation:

the negative on the outside makes it a reflection over the x-axis

Answer:

b

Step-by-step explanation:

because if you say make up points the plot them then youll see there across from each other

Answer:

A. f(x)= -(x-3)^(2)-2

Step-by-step explanation:

graphing the parabola, using the direction, vertex, focus, an axis of symmetry, we see that the direction it opens is down, like the picture shows. The vertex is at (3, -2), focus is (3,-9/4), axis of symmetry is x=3, and the directrix is y = -7/4 just as the picture shows. Therefore, A is the correct answer.

Hope this helps!!

Answer:

A. [tex]F(x)=-(x-3)^2-2[/tex]

Step-by-step explanation:

For the function F(x) to flip upside-down, there needs to be a negative sign in front. This eliminates answers "B," and "D." The function F(x) shifted 3 units to the right, meaning there needs to be a -3 being subtracted. The function also shifted downwards 2 units, meaning there's a -2 being subtracted.

This makes the correct answer be "A."

Answer:

[tex]\{p_1,p_2\}$ is a basis of Span\{p_1,p_2,p_3\}[/tex]

Step-by-step explanation:

Given the polynomials:

[tex]p_1(t) = 1 + t\\ p_2(t) = 1 -t\\p_3(t) = 2\\[/tex]

On Inspection

[tex](1+t)+(1-t)=1+1+t-t=2\\$Therefore:\\p_1(t)+p_2(t)=p_3(t)[/tex]

By the Spanning Theorem  

If one vector in S is a linear combination of the others, we can delete it and get a subset (one vector smaller) [tex]S' \subseteq S[/tex] that has the same span.

Therefore, since [tex]p_3(t)=p_1(t)+p_2(t)[/tex]

[tex]Span\{p_1,p_2,p_3\}=Span\{p_1,p_2\}[/tex]

[tex]p_1$ and p_2[/tex] are linearly independent because [tex]p_1[/tex] cannot be written in terms of [tex]p_2[/tex].

Therefore, [tex]\{p_1,p_2\}$ is a basis of Span\{p_1,p_2,p_3\}$ as required.[/tex]

A linear dependence relation among the polynomials p₁, p₂, and p₃ is given as p₁ + p₂ = p₃

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Consider the polynomials are

[tex]\rm p_1(t) = 1 + t\\\\ p_2(t) = 1 -t \\\\ p_3(t) = 2[/tex]

a linear dependence relation among p₁, p₂, and p₃ will be

Let add the  p₁ and p₂, we have

1 + t + 1 -t = 2

We get the polynomial p₃.

Thus the linear relation is p₁ + p₂ = p₃

More about the polynomial link is given below.

https://brainly.com/question/17822016

Answer:

Step-by-step explanation:

We have to perform one sample proportion test. To do so we have to proceed through following steps.

(1) We have to collect data about vehicle sales in last 20 years.

(2) Using random number table or random number generator or otherwise we have to select sample of vehicles from the list of sale. In this step, we have to keep an eye on the fact that sample is to be selected from all years (all of 20). Using stratified random sampling by dividing vehicles sold over different years is an effective way to do so. That means, we may divide vehicles sold into 20 homogeneous strata over 20 years and select sample from each strata.

(3) After selecting sample of vehicles we have to communicate to corresponding vehicle owners to gather information about that particular vehicle.

(4) We have to note number of vehicles which are still on the road.

Suppose, we have selected  n vehicles as sample and after communicating we found that \tiny r of those are still on the road.

We have to test for null hypothesis [tex]H_0:p=0.80[/tex]

against the alternative hypothesis [tex]H_1 \neq 0.80[/tex]

Our test statistic is given

[tex]z=\frac{\hat p - p_0}{\sqrt{p_0(1-p_0)/n} }[/tex]

here,

[tex]\hat p =\frac{r}{n}[/tex]

[tex]p_0 =0.80[/tex]

[tex]z=\frac{r/n-0.80\sqrt{n} }{0.40} \\\\=2.5(\frac{r}{n} -0.8)\sqrt{n}[/tex]

We then calculate corresponding p-value.

We reject our null hypothesis if [tex]\text{p-value}<\alpha[/tex] , level of significance.

According to our obtained p-value and level of significance we proceed to certain conclusion.

Answer: 96°

Step-by-step explanation:

Sum of angles of a triangle = 180°

3 + 8 + 4 = 15

The biggest angle is 8/15 * 180 = 96°

Answer:

H(3)=39

Step-by-step explanation:

H(3) =10 (3) + 9

=30 +9

=39

Hope this helps...

Answer:

true its just a filp with the y and x and resolved

Step-by-step explanation:

Answer:

THE ANSWER OF THIS QUESTION IS CONE

Answer:

B. Cone

Step-by-step explanation:

The flashlight beam is of the shape of a cone

Answer:

.250 L

Step-by-step explanation:

We know that 1 L = 1000 mL

250 mL * 1L /1000 mL = .250 L

Answer:

Step-by-step explanation:

its 1/25 or .25 liters. A milliliter (ml) is one thousandth of a liter, so 1000 ml would be 1 liter. Btw, why is he measuring broccoli in ml?

Answer:

a

Step-by-step explanation:

the slope is negative bec it's going from the top left to the bottom right corner(if I was negative the line would be going from the bottom left to the too right) then your y-intercept( the point that hits y when x is zero) is 120

Answer:

The correct answer would be A, y = -4/3x + 120

Step-by-step explanation:

Let us start with the y-intercept, the y-intercept is 120. The graph shows that the y-intercept is positive, but the slope is negative. B, C, D, and E are not correct due to the mis use of signs, a wrong slope, and a wrong y-intercept.

if u want to prove me wrong, then go ahead.

Answer:

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment. hope that helps love!

Answer:

$117

Step-by-step explanation:

Given that:

They buy these books for $105 each and sell them to unsuspecting undergraduates at $222 each

Marginal Profit = Marginal Revenue – Marginal Cost.

Marginal Profit = $222 - $105

Marginal Profit = $117

the marginal profit for a single elementary statistics book $117

For the remaining unsold books in the middle of the semester he bundles them up and sells to vendor in another country for $40 each for which he suffers a marginal loss of $105 - $40 = $65 each