The makers of a certain diet cola claim that its taste is identical to the full-calorie version. To test this claim, a
researcher recruits 175 volunteers, has them drink samples of both colas from identical cups in a randomized order,
and then asks them to identify which sample is the diet cola. If we assume that the volunteers truly cannot tell the
difference, then the probability that they correctly identify the diet cola is 0.5.
X = the number of volunteers who correctly identify the diet cola and is a binomial random variable.
Calculate the mean and standard deviation of X. Round to 4 decimal places, when necessary.
Hx=
x =

Answer:

1) [tex]\frac{1}{8}[/tex]

2) [tex]\frac{55}{100} or \frac{11}{20}[/tex]

3) [tex]\frac{9}{5}[/tex]

4) [tex]\frac{6}{25}[/tex]

Answer:

Test statistic = - 3.354

We reject H0 and conclude that the growth rate of the new shrub is less than 3cm per week.

Step-by-step explanation:

H0 : μ = 3

H1 : μ < 3

The test statistic = (xbar - μ) / (s/ √n)

Xbar = 1.50

μ = 3

s = 3

n = 45

Test statistic = (1.5 - 3) / (3/ √45)

Test statistic = - 1.5 / 0.4472135

Test statistic = - 3.354

Pvalue, using the Pvalue from Z score calculator :

Pvalue = 0.00039826

α = 0.05

Pvalue < α ; We reject H0 and conclude that the growth rate of the new shrub is less than 3cm per week.

Answer:

diagonally.

Step-by-step explanation:

the vertices are the corners or angles. square has four angles. if you have to divide it in half by connecting 2 vertices, then you would just need to draw a line from one corner, diagonally to another corner. you have 2 halves that are equilateral triangles. think about a grilled cheese sandwich cut in half. make sense?

Answer:

D-Release and Grasp

Step-by-step explanation:

Antonyms are opposites, and the other answer choices are not antonyms.

Release-allow or enable to escape from confinement

Grasp-seize and hold firmly

Hope this helps :-)

Answer:

mean = 10.2 minutes

median = 9.5 minutes

Step-by-step explanation:

To find the mean, add up all of the results and then divide by the number of students in the sample. Therefore, the work should look like this: 15+8+7+7+11+13=61  --> 61/6=10.1666667

To find the median, order the results from least to greatest and then notice which number is the middle value. Since there is an even number of students in the sample, you will find that both 8 and 11 are the middle values when you put them all in numerical order (7, 7, 8, 11, 13, 15). Therefore, you must find the average of those two number in order to get the median. (8+11=19 --> 19/2=9.5)

Answer:

360Θ

Step-by-step explanation:

Answer:

Hello! answer: 4, 8

Step-by-step explanation:

Remember x is before y so we go to 4 then up 8 hope that helps!

From the figure, we can notice that :

⊕   There are 4 striped blocks

⊕   The total number of blocks in the block set : 8

The ratio of striped blocks to total blocks in the block set is :

[tex]\sf{\implies \dfrac{4}{8}}[/tex]

[tex]\sf{\implies \dfrac{1}{2}}[/tex]

[tex]\sf{\implies 1 : 2}[/tex]

Answer : B

Answer: 9.45•10^7

Step-by-step explanation:

Answer:

be happy

Step-by-step explanation:

Answer: 120

Step-by-step explanation: took the test and that’s the correct answer

Answer:

The probability of driving to the store is 0.969

Step-by-step explanation:

The remaining part of the question is attached

Solution

There are only two possible ways –  

a)  Route comprising of bridges 123  

b)  Route comprising of bridge 45

Probability of success while traveling through Route 123 = P(Bridge 1 open) x P(Bridge 2 open) x P(Bridge 3 open)

= 0.9 x 0.92 x 0.91

= 0.75348

P(Route 123 is closed) = 1 - 0.75348 = 0.24652

Probability of success while traveling through Route 45 =

P(Bridge 4 open) x P(Bridge 5 open)

= 0.94 x 0.93

= 0.8742

P(Route 45 is closed) = 1 - 0.8742 = 0.1258

To travel to store, atleast one route from 123 and 45 should be open.

Probability that you can drive to store :

= P(atleast one route from 123 and 45 is open)

= 1 - P(Both routes 123 and 45 are closed)

= 1 - P(123 is closed)*P(45 is closed)

= 1 - 0.24652*0.1258

= 1 - 0.031012216

= 0.968987784

~ 0.969

Answer:

Sorry But there is no shape for me to look at to give you the answer :( Edit the question or just send me a screen shot of it in discord, mine is Mousycritter#2842

Step-by-step explanation:

Answer:

148

Step-by-step explanation:

59.2/100x250

Answer: x-4>-9 or x-4<9

Step-by-step explanation:

The correct option for the given inequality is x-4>-9 or x-4<9

A relationship between two expressions or values that are not equal to each other is called inequality.

Given an inequality, |x-4| < 9

Using the rule, if |x| < a then, -a < x < a.

Therefore,

|x-4| < 9

-9 < x-4 < 9

x-4 > -9 or x-4 < 9

Hence, The correct option for the given inequality is x-4>-9 or x-4<9

For more references on inequality, click;

https://brainly.com/question/28823603

#SPJ2

Answer:

A, Yes, the null hypothesis can be rejected at the significance level α = 0.05, because 100 is not contained in the 95% confidence interval.

Step-by-step explanation:

Answer:

30%

Also I LOVE THE EMMA PIC!!!!!!!!

Answer:

[tex]y=2x+3[/tex]

Step-by-step explanation:

1. Approach

Slope intercept form is a way of expressing an equation of a line using the slope of a line, and its y-intercept. The general format for the equation of a line in slope-intercept form is the following,

[tex]y=mx+b[/tex]

Find each of the missing pieces of information and substitute it into the equation to find the equation of the line.

2. Find the slope

The slope of a line is the change in the line is can be found using the following formula,

[tex]\frac{y_2-y_2}{x_2-x_1}[/tex]

As one can see on the given graph, two points on the line are the following,

[tex](-2, -1), (-1, 1)[/tex]

Substitute the points into the formula and solve for the slope,

[tex]\frac{(1)-(-1)}{(-1)-(-2)}[/tex]

[tex]=\frac{2}{1}\\\\=2[/tex]

3. Find the y-intercept

The y-intercept of a line is where the line intersects the y-axis. As one can see this point is the following,

[tex](0,3)[/tex]

Thus the y-intercept is (3).

4. Put the information together

Putting all of this information together, substitute the found information into the general equation for slope-intercept form. One can see that the equation of a line is the following,

[tex]y=2x+3[/tex]

Answer:

vertically opposite angle

Step-by-step explanation:

Answer:

18 bags

Step-by-step explanation:

The dot plot shows the number of cough drops that were in each bag of cough drops inspected at a factory. How many bags of cough drops were inspected?

Note: Each dot represents one bag. The placement of the dot represents how many drops were in each bag (so there was 1 bag with 28, 3 with 29, etc)

First, list the amount of bags there are with a certain amount of cough drops.

Number of bags with...:

28: 1

29: 3

30: 0

31: 3

32: 5

33: 0

34: 0

35: 3

36: 2

Now, add the number of bags together:

1 + 3 + 4 + 5 + 3 + 2 = 18

18 bags

Answer:

The monthly payments of said financing plan will be $8.33.

Step-by-step explanation:

To determine what is the total of 12 monthly payments of $ 100.00 including tax, the following calculation must be performed:

100/12 = X

8.33 = X

Therefore, the monthly payments of said financing plan will be $8.33.

Answer:

68% of the population will have a height between 64 and 72 inches

Step-by-step explanation:

According to the Empirical Rule, 68% of the population will have a height within the range of 1 standard deviation of the mean. This means that the range of possible heights for 68% of the population is between 68-4(1)=64 inches and 68+4(1)=72 inches

Answer: 35

Step-by-step explanation:

Got it right on khan

Answer:

A

Step-by-step explanation: