A medical researcher wants to determine whether a drug changes the body's temperature. Seven test subjects are randomly selected, and the body temperature (in degrees Fahrenheit) of each is measured. The subjects are then given the drug and after 20 minutes, the body temperature of each is measured again. The results are listed below. At α=0.05, is there enough evidence to conclude that the drug reduces the body's temperature? Subject 1 2 3 4 5 6 7 Initial Temperature 103.4 102.5 101.1 103.4 102.9 100.2 100.9 Second temperature 99.2 98.4 98.2 99 98.6 99.7 97.8

Answer: 6 tenths

Step-by-step explanation:

3/5 = 6/10 (multiply by 2)

The system of the equations that has a solution of (-2, 0, 1) will be x + y + z = -1, x + y + 2z = 0, and x + 2y + 3z = 1.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The system of the equations that has a solution of (-2, 0, 1) will be

Let the number of variables be x, y, and z.

Then we have

Then the first equation will be

x + y + z = -1

Then the second equation will be

x + y + 2z = 0

Then the third equation will be

x + 2y + 3z = 1

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9514 1404 393

Answer:

Step-by-step explanation:

The ratios of side lengths in a 30°-60°-90° triangle are ...

  1 : √3 : 2

In the same order, the given side lengths are ...

  y : 9√3 : x

Comparing these two sets of ratios, we see that we can make the first equal to the second by multiplying by 9:

  9(1) : 9√3 : 9(2) = y : 9√3 : x

Then y = 9·1 = 9, and x = 9·2 = 18.

The missing side lengths are x = 18, y = 9.

Answer:

The​ P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results ( A )

Step-by-step explanation:

The False statement about using the confidence interval method when testing a claim about  μ when  σ is​ unknown is ; The​ P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results

This is because sometimes the values gotten from the p-value and confidence interval differs and this occurs mostly when the sample size is very small.

Answer: 2756 cubic inches

Step-by-step explanation:

Well, first calculate the rectangular prism: 11 x 11 x 16 = 2304

Then the cylinder: pi x 4(sqrd) x 9 = about 452

then add them together

I hope this helps! :)

Answer:

Step-by-step explanation:

Base perimeter : 4 x 2 x π = 8π cm

LA = 8π x 4 = 32π cm^2

Base area: 4^2 π = 16π cm^2

SA = 2 x 16π + 32 = 64π cm^2

V = 16π x 4 = 64π cm^3

Answer:

We are missing a picture, we can't see the dilation they are referring to. The photo is just showing the answer options, so without the dilation it can't be answered.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

I'm not completely sure if this is right, but i hope it is :/

Answer:

[tex]96 - 14[/tex]

Step-by-step explanation:

Given

[tex]Digits: 6\ 1\ 9\ 4[/tex]

Required

Fill in the blanks to get the largest subtraction

The largest subtraction is the difference between the highest possible value and the least possible value.

From the 4 given digits.

We have:

[tex]Highest = 96[/tex]

[tex]Least = 14[/tex]

So, the blanks become:

[tex]96 - 14[/tex]

And the difference is:

[tex]82[/tex] --- possible largest

Answer: 90 degrees to 120

Step-by-step explanation:

The probability of a temperature from 90 degrees to 120 degrees.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Experiment: A trial or an operation conducted to produce an outcome is called an experiment.

Sample Space: All the possible outcomes of an experiment together constitute a sample space. For example, the sample space of tossing a coin is head and tail.

Favorable Outcome: An event that has produced the desired result or expected event is called a favorable outcome. For example, when we roll two dice, the possible/favorable outcomes of getting the sum of numbers on the two dice as 4 are (1,3), (2,2), and (3,1).

Trial: A trial denotes doing a random experiment.

Given:

Temperatures from 60 degrees to 160 degrees.

As, per the situation the probability will lie between 60 degree to 160 degree.

Hence, The probability of a temperature from 90 degrees to 120 degrees.

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Answer:

X = 5.9 (in degree mode)

Step-by-step explanation:

Do the following:

12(tan26) = X

Plugging this into a calculator, you will get:

X = 5.9 (in degree mode)

Answer:

The answer is 23 chocolates

Step-by-step explanation:

You do 5 times 5 for her eating 5 chocolates a day for 5 days to get 25 and then you take 48 and subtract it by 25 and you get 23

Answer:

[tex]\sqrt{43}[/tex]

Step-by-step explanation:

Answer:

here's the graph

Step-by-step explanation:

9514 1404 393

Answer:

  90°

Step-by-step explanation:

The inscribed angle is half the measure of the arc it subtends. A semicircle is an arc of 180°. Half that is 90°.

  ? = 90°

Answer:

positive it is moving to the positive side of the graph

Answer:

48

Step-by-step explanation:

Answer:

the answer would be the second one

Answer:

Second choice

Step-by-step explanation:

18=2x9

9=3^2

X^7=(x)x^6)

root 18x^7

=3x^3root 2x

9514 1404 393

Answer:

  1. f^-1(x) = 4/(x+2) -2

  2. f^-1(x) = (-(x+3)/2)^(1/5)

Step-by-step explanation:

1. As with all "inverse function" problems, solve for y:

  x = f(y)

  x +2 = 4/(y +2) . . . . add 2

  y +2 = 4/(x +2) . . . . . multiply by (y+2)/(x+2)

  y = 4/(x+2) -2 . . . . . subtract 2

We see that this function is its own inverse. The attached graph shows it is symmetrical about the line y=x.

  f^-1(x) = 4/(x+2) -2

__

2. x = f(y)

  x +3 = -2y^5 . . . . add 3

  -(x +3)/2 = y^5 . . . . . divide by 2

  (-(x +3)/2)^(1/5) = y . . . . take the 5th root

  f^-1(x) = (-(x +3)/2)^(1/5)

In typeset form, that is ...

  [tex]\displaystyle f^{-1}(x)=\sqrt[5]{\frac{-(x+3)}{2}}\\\\\text{or}\\\\f^{-1}(x)=-\frac{1}{2}\sqrt[5]{16x +48}[/tex]

This last version is with the denominator "rationalized" and the contents of the radical "simplified." It may be a preferred form.

_____

The graphs show the function and inverse are symmetrical about the line y=x, as they should be.

Answer:

A = $10,441.68

A = P + I where

P (principal) = $10,400.00

I (interest) = $41.68

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 0.02/100

r = 0.0002 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 10,400.00(1 + 0.0002/2)(2)(20)

A = 10,400.00(1 + 0.0001)(40)

A = $10,441.68

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.

The total amount , with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Compound Interest =[tex]P(1+r/n)^rt[/tex]

Given that

A = $10,441.68

A = P + I

P (principal) = $10,400.00

I (interest) = $41.68

First, we need to convert R as a percent to r as a decimal

r = R/100

r = 0.02/100

r = 0.0002 rate per year,

Then we will solve the equation for A

A = [tex]P(1+r/n)^rt[/tex]

[tex]A = 10,400.00(1 + 0.0002/2)^{(2)(20)}[/tex]

A = 10,400.00(1 + 0.0001)

A = $10,441.68

Hence, The total amount , with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.

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Answer:

d=11.2

Step-by-step explanation:

[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} \\ }[/tex]

[tex]d=\sqrt{(6-(-4)^{2}+(-3-2)^{2} }[/tex]

[tex]d=\sqrt{10^{2}+5^{2} }[/tex]

[tex]d=\sqrt{100+25}[/tex]

[tex]d=\sqrt{125}[/tex]

[tex]d=11.18[/tex]

[tex]d=11.2[/tex]

Step-by-step explanation:

the last one is the answer

Answer:

5^3 = 125

Step-by-step explanation:

5^3

5 x 5 x 5

=125

Answer:

[tex]5^{3} = 125[/tex]

Step-by-step explanation:

Mark me brainllest

Answer:(125-81.25)/125 = 0.35 = 35%

Step-by-step explanation:

Answer: The answer is 84 cubic feet.

Step-by-step explanation:

V= l*w*h

V=14*12*1/2

V= 84

Answer:

x = 1

y . =2

slope =

[tex]\frac{y}{x} \\\\\frac{2}{1} \\\\Slope = 2[/tex]

Step-by-step explanation:

Answer:

1086ft squared

Step-by-step explanation: