On the first of each month, Shelly runs a 5k race. She keeps track of her times to track her progress. Her time in minutes is recorded in the table:


Jan 40.55 July 35.38
Feb 41.51 Aug 37.48
Mar 42.01 Sept 40.87
Apr 38.76 Oct 50.32
May 36.32 Nov 41.59
June 34.28 Dec 42.71


Determine the difference between the mean of the data, including the outlier and excluding the outlier. Round to the hundredths place.
39.98
39.22
0.93
1.21

Answer:

if x = -9

then, (-9)×(-9) + 3

= 81 +3

= 84

(-9) + 6

= -3

so, ans is = 84/(-3)

= (-84)/3

Answer:

The sum of the legs is equal to the hypotenuse.

Step-by-step explanation:

I hope that this helps u..

Answer:

The relation between the sides and angles of a right triangle is the basis for trigonometry. The side opposite the right angle is called the hypotenuse (side c in the figure). The sides and the adjacent to the right angle are called legs (or catheti, singular: cathetus).

Answer:

16°

Step-by-step explanation:

We know that in parallelogram opposite angles are equal so

4u - 8° = 6u - 40°

6u - 4u = 40° - 8°

2u = 32°

u = 32° /2

u = 16°

The value of u should be 16° to make PQRS parallelogram.

Hope it will help.

Answer:

[tex]\displaystyle 16 = u[/tex]

Step-by-step explanation:

Diagonal, opposite angles are congruent in every parallelogram:

[tex]\displaystyle [5u + 44]° = [14u - 100]° → -144 = -9u; 16 = u \\ \\ AND/OR \\ \\ [6u - 40]° = [4u - 8]° → -32 = -2u; 16 = u[/tex]

No matter which pair you take, you will ALWAYS arrive at the same exact solution.

I am joyous to assist you at any time.

Answer: 1.25

Step-by-step explanation:

hope this helps !!

Answer:it is A

Step-by-step explanation:

Answer:

august 1st

Step-by-step explanation:

Answer:

(9/2, 4/3) or just x = 9/2, y = 4/3. (it's the same thing)

Step-by-step explanation:

First, multiply the first equation 2x + 3y = 13 by 2, so that you get 4x + 6y = 26. Now you have the same coefficient for y. Now, subtract the second equation 6y = 8 (i simplified it first) from the first one that is doubled. After that, you would have just one equation, 4x = 18. So x = 18/4 = 9/2. Substitute x to solve for y, and you'd get 4/3.

9514 1404 393

Answer:

  (x, y) = (-6, 8 1/3)

Step-by-step explanation:

The system of equations appears to be ...

Dividing the first equation by 2 gives ...

  3x +3y = 7

Subtracting the first equation from this, we get ...

  (3x +3y) -(2x +3y) = (7) -(13)

  x = -6

Then substituting for x in the first equation, we have ...

  2(-6) +3y = 13

  3y = 25 . . . . . . . . add 12

  y = 25/3 = 8 1/3 . . . . divide by 3

The solution is (x, y) = (-6, 8 1/3).

Answer:

A. (X-2)^2 = 4(y+5)

Step-by-step explanation:

Equation of parabola: (x-2)² = 4(y+5)

Thus option A is correct.

Given:

Focus at (2, -4) and a Directrix of y = -6

Here,

Let us suppose that there is a point (x, y) on the parabola.

Its distance from the focus point (2, 4) is √(x - 2)² + (y + 4)²

Its distance from directrix y = -6 is |y + 6|

Therefore, the equation will be:

√(x - 2)² + (y + 4)² = |y + 6|

Squaring on both the sides,

(x - 2)² + (y + 4)² = (y + 6)²

x² - 4x + 4 + y² + 8y + 16 = y² + 12y + 36

(x-2)² = 4(y+5)

Therefore option A is correct.

Know more about parabola,

https://brainly.com/question/29203572

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Answer:

3 terms

Step-by-step explanation:

Hi there!

Terms are constants or variables in an algebraic expression separated by plus and minus signs.

With this information, that means that 7q is a term, 6q is a term, and 2 is a term.

Without simplifying the expression, there are 3 terms.

I hope this helped!

Answer:

We conclude that it is not a function because there are two different y-values for a single x-value.

Hence, option D is true.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

From the graph, we can determine the table such as:

x            y

-2           -5

-1            3  

1             -2  

3            0  

4            4

4            -2

It is clear that the values of x = 4, is repeated twice.

In other words, the input value x = 4 is duplicated.

We know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, we conclude that it is not a function because there are two different y-values for a single x-value.

Hence, option D is true.

Answer:

3 rides

Step-by-step explanation:

12.25 minus 7 equals 5.25.

5.25 divided by 1.75 equals 3 rides.

In conclusion it is 3 rides or option two.

Answer:

4(x - 3)(x^2 + 3x + 9)

Step-by-step explanation:

4x^3 - 108 = 4(x^3 - 27), or

                    4(x^3 - 3^3), or

                     4(x - 3)(x^2 + 3x + 9)    

We could choose to let 4 represent the height of the prism, x - 3 the width and x^2 + 3x + 9 the length.

Answer:

48 centimeters by 27 centimeters

Step-by-step explanation:

we need the ratio of 16:9

option a) 48:27 ( divide by 3 each side) --> 16:9

Answer:a

Step-by-step explanation:trust me bro

Answer:

617283945?

Step-by-step explanation:

Answer:

617283945

Step-by-step explanation:

Simple: Use a Calculator

Then: Add an Answer

Answer:

A. 52+3

Step-by-step explanation:

52+3= 42 + 3 x 4                      I hope this helps

Answer: The expected value is 12.44

Step-by-step explanation:

The expected value can be calculated as:

EV = ∑xₙ*pₙ

Where xₙ is the n-th outcome. For the case of the spinner we have 3 possible outcomes:

x₁ = 8

x₂ = 6

x₃ = 24

And pₙ is the probability of the n-th event.

For the case of the spinner, the probability of each section will be equal to the quotient between the degrees of each arc, and the total number of degrees in a circle (360°).

First, we can see that for outcome = 8, the angle is a right angle, then it is equal to 90°, then the probability of this event will be:

p₁ = 90°/360° = 0.25

For outcome = 24, we have an angle of 120°, then the probability for this event is:

p₃ = (120°/360°) = 0.33

And the angle for the third arc must be such that:

90° + 120° + A = 360°

then:

A = 360° - 90° - 120° = 150°

Then the probability for the outcome = 6 is:

p₂ = (150°/360°) = 0.42

Now we can find the expected value as:

EV = (8*0.25 + 6*0.42 + 24*0.33) = 12.44

Answer:

Step-by-step explanation:

lets have one side =a

P=3a+a+(17+a)=52

P=5a+17=52

5a=52-17

5a=35

a=7

second side=21

third side=24

Answer:

x=10.7, y=11300

Step-by-step explanation:

x%of 31 = 3.317

x/100×31=3.317

31x/100=3.317

31x= 3.317×100

x= 3.317 ×100/31

x =10.7

4407= 39% of y

4407= 39/100 × y

4407 =39y/100

4407×100=39y

4407 × 100/39=y

11300=y

9514 1404 393

Answer:

  no

Step-by-step explanation:

When fractions have the same denominator, you can compare the numerators.

  369 < 849

369/100 is not greater than 849/100

__

Here, you can convert these to decimal numbers and do the comparison in the usual way:

  3.69 < 8.49

The most-significant digits are in the same number place (units), and they are different. The number with the smaller most-significant digit is smaller.

Answer:

no

Step-by-step explanation:

369/100=3.69

849/100=8.49

3.69<8.49

Answer: 0.56 as a decimal 56% as a percentage

Step-by-step explanation:

Hi...

Co's 15=x/33...

Cos 15=0.96...

X=31.68

Answer:

B) 5.625 inches

Step-by-step explanation:

Answer:

a)  p*n =  46     and  q*n  =  454 data is enough for inference

b) CI =  (   0,099 ;  0,141)

c) CI we will find with 90% of confidence the value of p in that interval

d) No, we accept H₀  we don´t have evidence to claim that the percentage in the State University is smaller than that of the Department of Education

Step-by-step explanation:

Information from A state´s Department of Education is:

p₀  =  12 %    p₀ = 0,12

The State University sample:

Sample size   n  = 500

Sample proportion   46   out of 500      

p  =  46/500     p =  0,092     then    q =  1- p   q  =  1 - 0,092    q = 0,908

Both    p*n =  46     and  q*n  =  454

a) Are big enough to approximate the binomial distribution to normal distribution

b) CI = 90%   CI = 0,9     significance level  α = 0,10  for an CI we need

α/2   =  0,10/2      α/2 = 0,05

z(c)  =  - 1,64     ( from  z-table)

MOE  =  z(c)*√(p*q)/n

MOE  =   1,64 * √ ( 0,092*0,908)/500

MOE  =  1,64 *√0,08353/500

MOE  =  1,64 * 0,0129

MOE  = 0,021

Then  CI = 90 % is:

CI  =  (  0,12 -  0,021   <  P  <  0,12 + 0,021 )

CI =  (   0,099 ;  0,141)

We have with 90 % of confidence for finding the value of p in the interval

Test Hypothesis

Null Hypothesis                        H₀             p  =  p₀

Alternative Hypothesis            Hₐ             p < p₀

we have  for  α = 0,1     z(c)  =  - 2,32  from z table

And  z(s)  = ( p  -  p₀  ) /  √ (p*q)/n

z(s)  = ( 0,092 - 0,12 ) / √(0,092*0,908)/500

z(s)  =  - 0,028 / 0,0129

z(s)  =  - 2,17

Comparing  z(s)  and  z(c)  we see that

|z(s)| < |z(c)|

So  z(s) is in the acceptance region. We can support the claim that the percentage in the State University is the same than that of the Departament of Education

Answer:

A=10 cm

B=5 cm

Area of square = 25 cm

Step-by-step explanation:

Since that is an equilateral triangle based off the fact that all the sides are the same variable (a) then that means 30 divided by 3 which equals 10. So now we know that a = 10. Lets input that information for the rectangle. Since there are 2 a's that equals 20 and the perimeter is 30 so b has to be 5 since 5 times 2 is 10 plus 20 equals 30. so now we know that a=10 and b=5 so our squares sides are all 5. The area of the square is 25