A researcher wants to test whether a certain sound will make rats do worse on learning tasks. It is known that an ordinary rat can learn to run a particular maze correctly in 18 trials, with a standard deviation of 6. (The number of trials to learn this maze is normally distributed.) The researcher now tries an ordinary rat in the maze, but with the sound. The rat takes 38 trials to learn the maze. (a) Using the .05 level, what should the researcher conclude? Solve this problem explicitly using all five steps of hypothesis testing, and illustrate your answer with a sketch showing the comparison distribution and the rejection region.. (b) Then explain your answer to someone who has never had a course in statistics (but who is familiar with mean, standard deviation, and Z scores).

Answer:

k = 10

Step-by-step explanation:

The triangles angels added up must equal 180 degrees, and the top angle is 65 degrees by the 180 degree rule.  

So 10k + 15 must equal the remaining 115

subtract 15 from each side and you get 10k = 100

divide each each by 10 and you get the answer of k = 10

Answer:

She get $16 dollars

Step-by-step explanation:

Answer:

Greater, Less than, Greater

Step-by-step explanation:

Remember anything close to zero will always be greater in negative numbers. Example. -1>-2. Negative one is greater since it it closer to zero than 2.

Answer: There are no like terms. Therefore the answer is just plain 5x -50y - 40

Unless you looking for the factor because in that case the answer would be 5(x−10y−8)

Answer:

Step-by-step explanation:

From the attachment we have a triangle ABD, but sum of angle in a triangle is 180 which means angleABD=180

Angle A=14

Angle B= 34

Then angle D= 180-(14+34)=132deg.

From trigonometry

a/sinA=b/sinB = c/sinD

a/sin14 = b/sin34= 30/sin132

But sin(14)=0.991

Sin(132)= 0.0531

Then substitute we have

a/0.991 = 30/0.0531

Then cross multiply we have

0.0531×a=30× 0.991

a= 29.73/0.0531

a=9.77km

Therefore, the distance d of the fire from the line segment AB is 9.77km

Answer:

53 7/8

Step-by-step explanation:

turn the mixed number into an improper fraction

divide the numerator by 3

multiply quotient by 2

simplify

The tallest building in Franklin is 53.3 feet.

The tallest building in Franklin is two-thirds the height of the tallest building in Mayville which is 80 feet high.

The tallest building in Franklin is therefore:

= 2/3 x 80

= 160 / 3

= 53.3 feet

The tallest building in Franklin is therefore 53.3 feet.

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Answer:

all except d because d is negative 6

Answer:

B F G C

Step-by-step explanation:

I-2l erases the negative sign unless its liie this -l-2l

Answer:

B

Step-by-step explanation:

Answer: 56 old houses

Step-by-step explanation:

21/3=7

there are 7, 3 new houses.

so 7(8)=56

Answer:

Step-by-step explanation:

Price of computer:

Warranty

Total

Payment per month:

Answer:

2k + 4 > k + 11

Step-by-step explanation:

Keywords:

more - addition

twice - multiplication

greater than - >

sum - addition

4 more than twice the number k

2k + 4

Greater than

>

Sum of k and 11

k + 11

2k + 4 > k + 11

Solve for k if needed.

2k + 4 > k + 11

2k > k + 7

k > 7

Best of Luck!

The inequality represents this situation will be |t – 68| ≤ 4. Then the correct option is B.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The target temperature for a laboratory is 68° Fahrenheit.

It can vary by up to 4º.

If t is the temperature in the laboratory.

Then the inequality will be

68 + 4 ≤ t ≤ 68 – 4

Subtract 68, then we have

4 ≤ t – 68 ≤ – 4

|t – 68| ≤ 4

Then the correct option is B.

More about the Algebra link is given below.

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The invested amount, A=£4000

Rate of interest on this amount, r=5% per annum.

Total interest on the amount £4000 after 1 year

[tex]= 5\% \;\text{of} \;\£ 4000=0.05\times \£4000=\£200[/tex].

The total amount after 1 year, P=£4000+£200=£4200

Amount remains after an annual prize of £150=£4200-£150=£4050.

Note that after providing the annual prize the amount remains is £4050 which is more than the invested amount of £4000 as the prize money is less than the interest gained.

Now, for the 2nd year, the 5% interest is on the principal amount of £4050, which will have more interest as compared to the interest of 1st year.

Again, after prize distribution, the total amount remains for the principal amount of 3rd year will be more than the principal amount of 2nd year. This sequence repeated every year and the total amount will increase every year.

So, it will never end, the full prize money can be awarded for infinitely many years.

Answer:

15%

Step-by-step explanation:

3÷20=0.15

0.15×100=15

Answer:

-166

Step-by-step explanation:

g to kk hg hg g to hg FG u

Step-by-step explanation:

5 +0.24 = 5 + 24 = 12 = 6

100 50 25

= 5 6

25

Answer:

All real numbers are solutions to this equation

Step-by-step explanation:

[tex]\frac{9x+3}{3} =3x+1\\\frac{3(3x+1)}{3} =3x+1\\3x+1=3x+1[/tex]

Answer:

Step-by-step explanation:

-4|-2x+6|=-24 divide both sides by -4

|-2x+6|=6 rewrite twice

-2x+6=6  and  -2x+6=-6

      -6 -6                -6  -6

    -2x=0              -2x= -12   for both equations divide both by two so...

       x=0                  x=6       then check it

Answer:

12 bucks

Step-by-step explanation:

Answer:

First number: -39

Second number: -37

Step-by-step explanation:

An odd number can be written as [tex]2n+1[/tex] where n is a whole number.

Let's call our first number 2n+1.

Our second, consecutive number will be 2 more than our first number, since it has to be odd. All numbers go: odd -> even -> odd -> even. If we have an odd number, and add 2, we'll get the next odd number.

First number: 2n+1

Second number: 2n+1+2 = 2n+3

The sum of these two numbers, 2n+1 and 2n+3 will be -76.

(2n+1) + (2n+3) = -76

2n + 2n + 1 + 3 = -76

4n + 4 = -76

4n = -80

n = -20

Since our first number is 2n+1:

2 * (-20) + 1 = -40 + 1 = -39

First number: -39

Our second number is 2n+3, or 2 more than our first number.

-39 + 2 = -37

Second number: -37

We can double check this:

-39 + (-37) = -39 - 37 = -76

Answer:+8

Step-by-step explanation:Because that´s the absolute value

Answer:

54

Step-by-step explanation:

44−(−10)

=44−(−10)

=44+10

=54

Answer: Y = 4X + 3

Step-by-step explanation:

the equation for is it y = mx + b

well you are already given m and x only signifies that it is the slope

y = 4x + b

b is the y-intercept, where you start your slope (ALWAYS will be on the y-axis)

y = 4x + 3

Answer:

[tex]\boxed {\tt y=4x+3}[/tex]

Step-by-step explanation:

Slope intercept is defined as:

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

where m is the slope and b is the y-intercept.

We know the slope is 4 and the y-intercept is 3. Substitute 4 in for m and 3 in for b.

[tex]m=4 \\b=3[/tex]

[tex]y=(4)x+3[/tex]

[tex]y=4x+3[/tex]

The equation of the line in slope-intercept form is y=4x+3

Answer:

68

Step-by-step explanation:

let the angleAGF be y

then,

y+22=90

y=90-22

y=68

y=x(being vertically oppsite angle

Answer:

  35^10 = 2,758,547,353,515,625

Step-by-step explanation:

  35^10 = 2,758,547,353,515,625

It takes a calculator that will display 16 digits in order to see the value of this number exactly. Some spreadsheet programs my compute this for you.

Answer:

6

Step-by-step explanation:

|-6| = 6