In order to evaluate the performance of the artificial pancreas, a researcher randomly draw 5 rats as a control group, and draw other 5 rats as a treatment group. The control group did not receive the artificial pancreas, the treatment group did. The research wanted to compare the blood-sugar readings for the treatment group with those of the control group. The treatment group has a sample mean blood-sugar reading Y = 400 unit and a standard deviation Si = 80 unit. The control group has a sample mean blood-sugar reading Y, = 200 unit and a standard deviation S2 = 50 unit. Assume the population variances are not equal, calculate the standard error for the difference of the sample means Ý -Y (Round to three decimal places)

Answer:

33.25

Step-by-step explanation:

2.5*8.5+2.5*4.6

21.5+11.5

33.25

Answer:

Angle 6 and Angle 13

Step-by-step explanation:

Because they are both parallel.

And they intersect at a given line.

Also cut by two transversals.

The angles that are corresponding angles with angle 8 are; Angles 6 and 14

Corresponding angles are defined as the angles that are formed when two parallel lines are intersected by the transversal. This means that they are on the same side of the transverse line.

Now, from the given description and from the image of the line diagram shown in the brainly link attached, we can say that the angles that are corresponding to angle 8 are;

angles 6, 14, 16.

Thus, we conclude by saying that looking at the options, the ones that correspond to angle 8 are angle 6 and angle 14.

Read more about Corresponding angles at; https://brainly.com/question/20907188

#SPJ6

Answer:

They both factored it correctly

Step-by-step explanation:

To find the one that was factored correctly, we expand the two of them and compare with [tex]45y^6[/tex].

Fernando

[tex](9y^3)(5y^3)[/tex]

= [tex]9 * 5 * y^3 * y^3[/tex]

= [tex]45y^6[/tex]

Salma

[tex](3y)(15y^5)[/tex]

= [tex]3 * 15 * y * y^5[/tex]

= [tex]45y^6[/tex]

As we can see, they both factored it correctly.

Answer:

both are correct in their factoring

Step-by-step explanation:

Answer:

Step-by-step explanation:

A. Find the point on the x-axis marked with a 4. Follow the vertical line down until it meets the blue line of the graph. At that point, follow the horizontal line to the left until it meets the y-axis at -3. This tells you ...

  f(4) = -3

__

B. Find the point on the y-axis marked with a 1. Then find the x-values corresponding to the places where the horizontal line at y=1 intersects the blue curve. There are two of them: one at x=-6, another at x=0.

 f(x) = 1  for  x = -6 and x = 0

Answer:

The answer would be the first one.

Step-by-step explanation:

5.50 x n which n=4 so its actually 5.50 x 4 which equals 22 then you add the 22 to the 78 to get the result of exactly 100 dollars.

Answer:

5/1

Step-by-step explanation:

40/27

20/9

10/3

5/1

divided by 2 and 3 each other!

Answer:

I would love to help you but all I see is dots

Answer:

6.14125(0.15) = 0.9211875 (below 1)

6.14125 - 0.92118 = 5.22007

Step-by-step explanation:

Given data

1. 10(.15)=1.5

2. 10-1.5=8.5

3. 8.5 (.15)=1.275

4. 8.5-1.275=7.225

continuation the sequence

5)    7.225 (0.15) = 1.08375

6)    7.225 -  1.08375 = 6.14125

7)   6.14125(0.15) = 0.9211875   (below -one)

8 ) 6.14125 - 0.9211875 = 5.2200625 (get number 5)

9)   5.2200625(0.15) = 0.783009

10) 5.2200625 - 0.783009 = 4.4370532

Answer:

A. associative property of addition

Step-by-step explanation:

Associative because you can add or multiply those regardless of how the numbers are grouped.

I hope this helped and have a good rest of your day!

Answer:

Associative Property of Addition

Step-by-step explanation:

This property states that the sum of 3 or more numbers stays the same, no matter how they are grouped.

Hope this helped. Have an awesome day!

Answer:18.84

Step-by-step explanation:

T=2π√(g/L) g=18 L=2 π=3.14

T=2 x 3.14 x √(18/2)

T=6.28 x √(9)

T=6.28 x 3

T=18.84

Answer:A

Step-by-step explanation:

-112.84-54.14-(-29.18)

-112.84-54.14+29.18=-137.8

Answer:

Option A is correct.

Answer: 10

Step-by-step explanation:

Answer:

a) Null hypothesis:[tex]\mu \leq 120[/tex]  

Alternative hypothesis:[tex]\mu > 120[/tex]  

b) [tex]t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236[/tex]  

The degrees of freedom are given by:

[tex] df = n-1 = 80-1=79[/tex]

The p value for this case taking in count the alternative hypothesis would be:

[tex]p_v =P(t_{79}>2.236)=0.0141[/tex]  

Step-by-step explanation:

Information given

[tex]\bar X=130[/tex] represent the sample mean for the amount spent each shopper

[tex]s=40[/tex] represent the sample standard deviation

[tex]n=80[/tex] sample size  

[tex]\mu_o =120[/tex] represent the value to verify

t would represent the statistic    

[tex]p_v[/tex] represent the p value f

Part a

We want to verify if the shoppers participating in the loyalty program spent more on average than typical shoppers, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \leq 120[/tex]  

Alternative hypothesis:[tex]\mu > 120[/tex]  

The statistic for this case would be given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236[/tex]  

The degrees of freedom are given by:

[tex] df = n-1 = 80-1=79[/tex]

The p value for this case taking in count the alternative hypothesis would be:

[tex]p_v =P(t_{79}>2.236)=0.0141[/tex]  

Answer:

  see below

Step-by-step explanation:

A graph is a function if any vertical line intersects points on the graph only once. The graph of A is a function.

__

Ordered pairs represent a function if no x-value is repeated. In the list of B, the x-value -1 shows up twice. The list of B is not a function.

__

As with ordered pairs, a table represents a function if no x-value is repeated. In the table of C, the x-value 3 shows up twice. The table of C is not a function.

__

A mapping diagram represents a function if each x-value is only mapped to one y-value. In the map of D, the x-value 3 is mapped to two different y-values. The map of D is not a function.

Answer:D

Step-by-step explanation:

Answer:that’s a lot of numbers.            

Step-by-step explanation:

Answer:

The density is equal to the weight divided by the volume:

[tex]\rho=\dfrac{W}{V}[/tex]

The paperweight weights 300 grams.

Step-by-step explanation:

The density of the paperweight can be calculated knowing the weight and the volume of this paperweight.

The density is equal to the weight divided by the volume:

[tex]\rho=\dfrac{W}{V}[/tex]

We know that the density of this paperweight is 1.5 grams per cm3, and its volume is 200 cm3.

We can use the formula of the density to calculate the weight:

[tex]\rho=\dfrac{W}{V}\\\\\\W=\rho\cdot V=1.5\;\dfrac{g}{cm^3}\,\cdot\;200\; cm^3\\\\\\W=300\;g[/tex]

The paperweight weights 300 grams.

Answer:

Key Differences Between Descriptive and Inferential Statistics:

The difference between descriptive and inferential statistics can be drawn clearly on the following grounds:

Descriptive Statistics is a discipline which is concerned with describing the population under study. Inferential Statistics is a type of statistics; that focuses on drawing conclusions about the population, on the basis of sample analysis and observation.

Descriptive Statistics collects, organises, analyzes and presents data in a meaningful way. On the contrary, Inferential Statistics, compares data, test hypothesis and make predictions of the future outcomes.

There is a diagrammatic or tabular representation of final result in descriptive statistics whereas the final result is displayed in the form of probability.

Descriptive statistics describes a situation while inferential statistics explains the likelihood of the occurrence of an event.

Descriptive statistics explains the data, which is already known, to summarise sample. Conversely, inferential statistics attempts to reach the conclusion to learn about the population; that extends beyond the data available.

Ex. Of 350 randomly selected people in the town of Luserna, Italy, 280 people had the last name Nicolussi. An example of descriptive statistics is the following statement :

"80% of these people have the last name Nicolussi."

Ex. Of 350 randomly selected people in the town of Luserna, Italy, 280 people had the last name Nicolussi. An example of inferential statistics is the following statement :

"80% of all people living in Italy have the last name Nicolussi."

We have no information about all people living in Italy, just about the 350 living in Luserna. We have taken that information and generalized it to talk about all people living in Italy. The easiest way to tell that this statement is not descriptive is by trying to verify it based upon the information provided.

Answer:

  4 square units

Step-by-step explanation:

If corresponding sides have equal lengths, the triangles are congruent by the SSS postulate. They must have equal areas: 4 square units.

ΔDEF has an area of 4 square units.

Answer:

if the corresponding sides are equal the 2 triangles are congruent  ( by SSS) so their areas are the same.

So area of triangle DEF = 4 sq units

Step-by-step explanation:

Answer:

The answer you put is correct.

Step-by-step explanation:

It is B.

Answer:

[tex]882\pi[/tex]

Step-by-step explanation:

The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], where r is the radius and h is the height of the cylinder. Therefore, the volume of this cylinder is [tex]\pi \cdot 7^2 \cdot 18=882\pi[/tex] cubic feet. Hope this helps!

Answer:

-26

Step-by-step explanation:

One way to answer this question is to look at what's happening to the values of x and y.

x         y

24     -8

36       1

48      10

Go down the list of x values: they are increasing by 12 at each step

Go down the list of y values: they are increasing by 9 at each step.

The y-intercept of the line is the value of y when x = 0.

Think about reversing the steps (decrease x by 12 and decrease y by 10):

x         y

48     10

36       1

24      -8

12      -17

0      -26 <-----  the y intercept is -26.

Note: Your book or teacher may list y intercepts as points. If so, use (0, -26)

Answer:

Mean: 85 5/9

Median: 90

Mode: 95

Step-by-step explanation:

~ Part I ~

1. To find the mean, let us take the average of the numbers through the addition of these values divided by the number of numbers:

75 + 95 + 90 + 95 + 60 + 95 + 75 + 95 + 90/9 = 770/9 = 85 5/9 (85.55.....)

~ Part 2 ~

1. Now let us arrange these numbers from least to greatest:

75 , 95 , 90 , 95 , 60 , 95 , 75 , 95 , 90 ⇒ 60,75 , 75 , 90 , 90 , 95, 95, 95,95

3. The median of this set would now be the middle number, which, (in this case) is ⇒ 90

~ Part 3 ~

1. The mode is known to be the number repeated most often, and from the previous question we see the numbers arranged in a benficial manner. Now we can straight away see that the number repeated the most is ⇒ 95

Answer:mean=85 5/9 mode=95 median=90

Step-by-step explanation:

Mean=(75+95+90+95+60+95+75+95+90)➗9

mean=770 ➗ 9

Mean=85 5/9

Mode=95

To get median we first arrange in ascending order of magnitude

60,75,75,90,90,95,95,95,95

The middle number is the median which is 90

Answer:

Step-by-step explanation:

Let the edge of the cube be a .

Given

[tex]\frac{da}{dt} = 2 cm/s[/tex]

Volume V = a³

[tex]\frac{dV}{dt} = 3a^ 2\frac{da}{dt}[/tex]

= 3a² x 2

= 6a²

If a = 40 cm

[tex]\frac{dV}{dt} = 6 \times 40\times40[/tex]

= 9600 cm³/s .

Answer:

6 people can attend the movie with ticket worth of $ 48 if each ticket costs $ 8.

Step-by-step explanation:

1 ticket costs $ 8 then divide $ 48 to find how many tickets worth $8 are there.

[tex]48 \div 8 = 6[/tex]

Answer:

Step-by-step explanation:

looking at the graph,

when x = 3, y = -10

-10 = 2(3)^2 + 3b + 8

-10 = 18 + 3b + 8

-10 = 26 + 3b

3b = -36

b = -36/3

b = -12

Answer:

(-x)(x^2 + 4x + 5)

Step-by-step explanation:

You have to factor out the -x from the rest of the expression.

Answer:

1/2π

Step-by-step explanation:

For khan, you HAVE to put the pi symbol. just type pi and itll work

Answer:

1/2 pi (Sorry i don't have the pi symbol)

Step-by-step explanation:

It is given that you have invested $50 a month in an annuity that earns 48% APR compounded monthly. We can conclude that after 2 years you will have $1954.13 in your account.

To solve this we are going to use the formula for the future value of an ordinary annuity:

[tex]P[(\frac{(1+(r/n)^{nt}-1)}{(r/n)}][/tex]

where

FV is the future value

P is the periodic payment

r is the interest rate in decimal form

n is the number of times the interest is compounded per year

t is the number of years

It is given that you have invested $50 a month in an annuity that earns 48% APR compounded monthly. we need to find how much money you have in this account after 2 years.

Since the interest is compounded monthly, it is compounded 12 times per year; therefore,

r = 48% = 0.48

n = 12

Let's put the values in our formula:

[tex]P[(\frac{(1+(r/n)^{nt}-1)}{(r/n)}]\\\\50[(\frac{(1+(0.48/12)^{12\times 3}-1)}{(0.48/3)}]\\\\$1954.13[/tex]

Thus, We can conclude that after 2 years you will have $1954.13 in your account.

Learn more about interest here;

https://brainly.com/question/1548909

#SPJ2

Answer:

3

Step-by-step explanation:

Amplitude is the number in front of the sin or the number multiplied by the whole equation.  In this case its 3

Answer:

6.2%

Step-by-step explanation:

For each time the coin is tossed, there are only two possible outcomes. Either it is heads, or it is not. The probability of a toss resulting in heads is independent of other tosses. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Fair coin:

Equally as likely to be heads or tails, so [tex]p = 0.5[/tex]

Lorelei tosses a coin 4 times.

This means that [tex]n = 4[/tex].

What is the probability of tossing four heads?

This is P(X = 4).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{4,4}.(0.5)^{4}.(0.5)^{0} = 0.062[/tex]

0.062 = 6.2% probability of tossing four heads