A 2-year old mice can solve a simple maze in 30 seconds on average, with a standard deviation of 2 seconds. In a recent experiment, a group of 25 2-year old mice were given the blood of younger mice to see if there is any improvement in terms of cognitive functions. These mice were observed to solve the same maze in 29 seconds. Can we say that the blood transfusion improved the cognitive functions of 2-year old mice (i.e. shorter time to solve the maze)?

Required:
a. State the hypotheses.
b. What is the p-value?
c. Using α = 0.05, what is your conclusion?

Answer:

The value of x is whichever number you put in the left corner.

Step-by-step explanation:

Answer:

Step-by-step explanation:

XO = YO equal as radius, therefore

∠YOZ is exterior angle of the triangle OXY and equal to sum of non-adjacent interior angles

Arc YZ is 108°

Correct option is B

Answer:

Step-by-step explanation:

HAHAHAHAHA! NOT IN THE MOOD!

Answer:

I need to see it first please

Answer:

what do you want for the answer 12 goes in to 36 3 times

18 goes into 54 3 times and 25 goes into 75 3 times

Step-by-step explanation:

so im guessing k=1/3

because x=1/3 of y

(-2, -4.5)

Second answer down

Answer:

y=37

Step-by-step explanation:

the addition of the 3 angles is 180°

then 40 + y +29 +2y  = 180

        69 + 3y =180

        3y  = 180 -69

        3y= 111

        y =111 ÷ 3

        y = 37

====================================================

Explanation:

The variable n is a placeholder for a number. Specifically some positive number. Let's say that n = 50. This means Eric biked 50 miles last year.

That would mean in total he biked 50+457 = 507 miles overall over the two years.

Since we don't know what n is, we don't replace it with 50. So we just keep n as it is. We would keep it as n+457

Once, or if, we find out the value of n, then we can replace that letter with that number.

Answer:

8/25

Step-by-step explanation:

To change 32% to a fraction:

Divide 32% by 100%, obtaining 0.32

This 0.32 is equivalent to 32/100, which in turn is equivalent to 8/25.

Answer:

Step-by-step explanation:

The function of the graph of a translation of the graph of f(x) = x shifted 5 units to the right is g(x) = x - 5, so option B is correct, the graph is also attached below.

When a function from one set to the other is utilized, every element of X receives precisely one element of Y. The function's domain and co-domain are collective terms used to refer to the sets X and Y, respectively.

Given:

f(x) = x, shifted 5 units to the right

A translation is a change in the graph's direction, either horizontally or vertically, parallel to the -axis.

Here, the translation is of 5 units,

Thus, the new function will be,

g(x) = x - 5

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The price of the movie itself is $19.99.

19.99 x 6% = 1.1994

19.99 + 1.1994 = 21.1894

Answer: $21.19

Answer:

2

Step-by-step explanation:

[tex]x^{3} =8\\x=\sqrt[3]{8} \\x=2[/tex]

use your calculator

Answer:

15

Step-by-step explanation: since i helped can i have brainlist please :D

Answer:

8 cups hope this helps have a nice day please give me brainliest:))

Step-by-step explanation:

Answer:

.125 cup

Step-by-step explanation:

when you divide 1 by 8 you get .125 (and in this case your answer).

Answer:

You can draw three rectangles:

1- 28 * 1.

2- 14*2

3- 7*4

Step-by-step explanation:

We have a total area of 28. If we use only integer numbers, we can find all the divisors of 28. The possible rectangles will be organized with them, taking into account that the product of them, which means the area should be 28.

28 = 1*2*2*7

We can organize them as follows:

R1: 28 = 1*28

R2: 28 = 2*14

R3: 28 = 4*7

Finally, we can conclude that there are only three possibilities

1- 28 by 1.

2- 14 by 2

3- 7 by4

The perimeters will be:

Perimeter 1 = 2x1 + 2x28 = 58

Perimeter 2 = 2x2 + 2x14 = 32

Perimeter 3 = 2x4+2x7 = 22

The equivalent of the expression, 35 (8 – 3)  is (35 × 8 ) - (35 × 3). The answer is C.(35 × 8) – (35 × 3)

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Therefore, let's simplify the expression to the its' equivalent as follows:

Hence,

35 (8 – 3) = 35(5) = 175

Therefore,  the equivalent is as follows:

35 (8 – 3)

Open the bracket by multiplying as follows;

35 (8 – 3)  = (35 × 8 ) - (35 × 3)

The correct option is C. (35 × 8) – (35 × 3)

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Answer:

Step-by-step explanation:

STEP

1

:

           10

Simplify   ——

           x

Equation at the end of step

1

:

                       10

 ((((x4)-(5•(x2)))-6x)-——)-3

                       x

STEP

2

:

Equation at the end of step

2

:

                           10    

 ((((x4) -  5x2) -  6x) -  ——) -  3

                           x      

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  x  as the denominator :

                     x4 - 5x2 - 6x     (x4 - 5x2 - 6x) • x

    x4 - 5x2 - 6x =  —————————————  =  ———————————————————

                           1                    x        

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  x4 - 5x2 - 6x  =   x • (x3 - 5x - 6)

Polynomial Roots Calculator :

4.2    Find roots (zeroes) of :       F(x) = x3 - 5x - 6

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -6.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,6

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -2.00    

     -2       1        -2.00        -4.00    

     -3       1        -3.00        -18.00    

     -6       1        -6.00        -192.00    

     1       1        1.00        -10.00    

     2       1        2.00        -8.00    

     3       1        3.00        6.00    

     6       1        6.00        180.00    

Polynomial Roots Calculator found no rational roots

Adding fractions that have a common denominator :

4.3       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • (x3-5x-6) • x - (10)     x5 - 5x3 - 6x2 - 10

————————————————————————  =  ———————————————————

           x                          x        

Equation at the end of step

4

:

 (x5 - 5x3 - 6x2 - 10)    

 ————————————————————— -  3

           x              

STEP

5

:

Rewriting the whole as an Equivalent Fraction

5.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  x  as the denominator :

        3     3 • x

   3 =  —  =  —————

        1       x  

Checking for a perfect cube :

5.2    x5 - 5x3 - 6x2 - 10  is not a perfect cube

Trying to factor by pulling out :

5.3      Factoring:  x5 - 5x3 - 6x2 - 10

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -6x2 - 10

Group 2:  x5 - 5x3

Pull out from each group separately :

Group 1:   (3x2 + 5) • (-2)

Group 2:   (x2 - 5) • (x3)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

5.4    Find roots (zeroes) of :       F(x) = x5 - 5x3 - 6x2 - 10

    See theory in step 4.2

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -10.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,5 ,10

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -12.00    

     -2       1        -2.00        -26.00    

     -5       1        -5.00       -2660.00    

     -10       1       -10.00       -95610.00    

     1       1        1.00        -20.00    

     2       1        2.00        -42.00    

     5       1        5.00        2340.00    

     10       1        10.00       94390.00    

Polynomial Roots Calculator found no rational roots

Adding fractions that have a common denominator :

5.5       Adding up the two equivalent fractions

(x5-5x3-6x2-10) - (3 • x)      x5 - 5x3 - 6x2 - 3x - 10

—————————————————————————  =  ————————————————————————

            x                            x            

Polynomial Roots Calculator :

5.6    Find roots (zeroes) of :       F(x) = x5 - 5x3 - 6x2 - 3x - 10

    See theory in step 4.2

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -10.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,5 ,10

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -9.00    

     -2       1        -2.00        -20.00    

     -5       1        -5.00       -2645.00    

     -10       1       -10.00       -95580.00    

     1       1        1.00        -23.00    

     2       1        2.00        -48.00    

     5       1        5.00        2325.00    

     10       1        10.00       94360.00    

Polynomial Roots Calculator found no rational roots

Final result :

 x5 - 5x3 - 6x2 - 3x - 10

 ————————————————————————

            x            

Answer:

You can see by the shape of the white triangles within the large triangle that there were no rotations. The first similarity transformation shown in this image is a dilation, which we know because the white triangles are varying in size. The second similarity transformation depicted in this image is a translation, which we know because the white triangles are in various locations within the large triangle.

I hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day and good luck on your assignment. :)

Step-by-step explanation:

To find a set of 3 leg lengths that will form a right-angled triangle, the square of the largest leg must be equal to the sum of the squares of the other 2 legs.

We try out all the options:

39² = 1521, 15² + 36² = 1521.

12² = 144, 8² + 4² = 80.

17² = 289, 13² + 9² = 250.

Since 39² equals 15² + 36², option A is the correct answer.

Answer:

$17 on food per person

Step-by-step explanation:

The cost of parking a car is $5

Assuming that the friends used one car, then the parking cost=$5

Admission cost is 19

For three people, Admission cost =19*3=57

TOTAl COSTS=Parking cost+Admission cost

TOTAl COSTS=57+5=62

Remaining amount can be used for food

FOOD= 113-62=51

Therefore each person can spend 51/3=$17 on food

I hope this was helpful and clear to follow

Answer:

$8

Step-by-step explanation:

19 x 4 + 5 + c =113

81 + c =113

-81         -81

c =32

32 divided by 4 ppl = 8

The equation of a circle with center at  [tex]C(-2, 7)[/tex]  and Point [tex]P(1, 11)[/tex] will be   [tex](x+2)^2+(y-7)^2=25[/tex] .

What is equation of a circle ?

Equation of a circle is written in the form [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex]   is the center and  [tex]r[/tex]  is the radius.

We have,

Center at  [tex]C(-2, 7)[/tex]

i.e. [tex]h=-2[/tex], [tex]k=7[/tex],

And

Point [tex]P(1, 11)[/tex]

i.e. [tex]x=1[/tex], [tex]y=11[/tex]

Now,

To determine Radius of the circle;

[tex]r^2=(x-h)^2+(y-k)^2[/tex]

[tex]r^2=(1-(-2))^2+(11-7)^2[/tex]

[tex]r=\sqrt{3^2+4^2} =\sqrt{25}[/tex]

[tex]r=5[/tex]

So, radius of the circle is [tex]5[/tex] .

Now,

Equation of a circle ;

[tex](x-h)^2+(y-k)^2=r^2[/tex]

[tex](x-(-2))^2+(y-7)^2=5^2[/tex]

[tex](x+2)^2+(y-7)^2=25[/tex]

So, the Equation of a circle is  [tex](x+2)^2+(y-7)^2=25[/tex] .

Hence, we can say that the equation of a circle with center at  [tex]C(-2, 7)[/tex]  and Point [tex]P(1, 11)[/tex]  is   [tex](x+2)^2+(y-7)^2=25[/tex] .

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Answer:

it would be C

Step-by-step explanation:

because she had a 50/100 percent chance to get potato chips rather than pretzels.

Answer:

We need to use the mapping [tex]U'(x,y) = (x+4,y-5)[/tex] to find the new coordinates of X and Y.

Step-by-step explanation:

Vectorially speaking, we must look for the defintion of the translation operation such that vertex Y becomes vertex Y', which is represented by:

[tex]T(x,y) = Y'(x,y) - Y(x,y)[/tex] (1)

Where [tex]T(x,y)[/tex] is the translation vector.

If we know that [tex]Y(x,y) = (-4,2)[/tex] and [tex]Y'(x,y) = (0,-3)[/tex], then the translation vector is:

[tex]T(x,y) = (0,-3)-(-4,2)[/tex]

[tex]T(x,y) = (4, -5)[/tex]

If [tex]U(x,y) = (x,y)[/tex], [tex]T(x,y) = (4, -5)[/tex] and [tex]U'(x,y)[/tex] is the translated vector, then we obtain the following definition:

[tex]U'(x,y) = U(x,y) +T(x,y)[/tex] (2)

[tex]U'(x,y) = (x,y) + (4,-5)[/tex]

[tex]U'(x,y) = (x+4,y-5)[/tex]

The correct answer is B.

Answer:

B is the answer

Step-by-step explanation:

2

Step-by-step explanation:

common ratio(r)=-3/4

a2÷a1=r

32/9÷-128/27=-3/4

therefore using the common ratio to find the fourth term is just by multiplying the third term -8/3 by the common ratio -3/4

which equals = 2

The next term of the geometric sequence[tex]\dfrac{-128}{27}[/tex], [tex]\dfrac{32}{9}[/tex], [tex]\dfrac{-8}{3}[/tex] is 2.

A geometric series is the sum of an infinite amount of terms with a fixed ratio between them.

Given series:

[tex]\dfrac{-128}{27} , \dfrac{32}{9}, \dfrac{-8}{3}[/tex]

The common ratio is calculated by dividing the second term by the first term.

Common ratio (r) =[tex]\dfrac{(2nd \ term)}{(1st \ term)}[/tex]

First term = [tex]\dfrac{-128}{27}[/tex]

Second term = [tex]\dfrac{32}{9}[/tex]

To divide by a fraction, we can multiply by its reciprocal:

Common ratio (r) =[tex]\dfrac{32}{9} \times \dfrac{-27}{128}[/tex]

                        r    = [tex]\dfrac{-3}{4}[/tex]

Thus, the common ratio is[tex]\dfrac{-3}{4}[/tex].

So, we can find the next term:

The 4th term can be calculated by multiplying the 3rd term by the common ratio.

4th term  = [tex]\dfrac{-8}{3} \times \dfrac{-3}{4}[/tex]

                 = 2

So, the next term in the geometric sequence is 2.

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Answer:

See below

Step-by-step explanation:

To graph the line we need two points, one point is the y-intercept, the second point to be calculated.

Q7

y = -3x + 6

Let the domain be x = 5 for the second point, then:

Connect these points to get the graph

Q8

y = 4/5x - 3

Let the domain be x = 5 for the second point, then:

Connect these two points to get the graph