Jenny can hike 5 kilometers in 30 minutes. What is Jenny’s average hiking speed in kilometers per hour?

Answer:

24.23 ; 13.47 ; 0.782 ; p value < 0.00001 ;7.45

Step-by-step explanation:

Given that :

ΣX = 3,416, ΣY = 1,899, SDX = 8.84, SDY = 4.70, ΣZXZY = 109.416

Sample size, N = 141

Mean of X:

£X / N = 3416 / 141 = 24.23

Mean of Y:

£Y / N = 1899 / 141 = 13.47

B.) Correlation between the 2 variables :

£ZXZY / N - 1

= 109.416 / 140

= 0.782

C.)

Level of significance and p value :

T = [Rsqrt(n-2)] ÷ sqrt(1 - R²)

T = [0.782 * sqrt(139)] ÷ sqrt(1-0.782^2)

T = 14.79

P value from Tscore calculator

Df = 141 - 2 = 139 ; α = 0.05

Pvalue = 0.00001

Pvalue < α ; Hence, a significant positive relationship exists.

To obtain regression model :

Slope = £ZXZY / SDX²

m = 109.416 / 8.84^2 = 1. 4

yintercept = meanY - slope*x

yintercept = 13.47 - 1.4*24.3

yintercept = - 20.55

Equation in slope intercept form:

y = mx + c

y = 1.4x - 20.55

For x = 20

y = 1.4(20) - 20.55

y = 7.45

[tex]2c^2-14c+20=0 \\ c^2-7c+10=0 \\ (c-2)(c-5)=0 \\ c_1=2,c_2=5[/tex].

Answer:

x = 14

Step-by-step explanation:

These angles are vertical each other, another way of saying they are opposite each other in an X. Since these angles are vertical, they are equal!

60 = 5x - 10 | Given, from here on is basic algebra

70 = 5x | Add 10 to both sides

14 = x | Divide both sides by 5

Answer:

y≥-1/3+2

y≥2/3-2

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

as H=20 and W=10

So H=constant.(W)

H=2(10)

H=20

So constant is 2

Answer:

n=1.29

Step-by-step explanation:

Is there more options?

≻───── ⋆✩⋆ ─────≺

Answer:

[tex]5.16 = 4n[/tex]

[tex]\frac{5.16}{4} = \frac{4n}{4}[/tex]

[tex]n=1.29[/tex]

Hope this helps!

-Fishylikeswater

Answer:

16%

Step-by-step explanation:

20/125 = 0.16

0.16 x 100 = 16% (multiply by 100 to get a percentage)

Answer:

y = -4x - 1

Step-by-step explanation:

Parallel lines have same slope

y = -4x + 1    {Compare y = mx + b; m ->slope; b - y-intercept}

m = -4 ; (-2 ,7)

y - y1 = m(x - x1)

y - 7 = -4(x - [-2])

y -7 = -4(x + 2)

y -7 =x *(-4) + 2*(-4)

y -7 = -4x - 8

    y = -4x - 8 + 7

   y = -4x - 1

answer is

[tex] \frac{12}{28} [/tex]

Answer:

8

Step-by-step explanation:

Answer:

A) Width = 8 B) 72 ft^2

Step-by-step explanation:

1. Find the SF. 36/9 = 4/1

2. Use the SF to find the width. Make the width x.

4/1 = 32/x

3. Cross multiply

4x=32

5. Solve for x.

x = 8

B) Multiply 8 and 9 to get 72. Remember it's squared.

Answer:

250

Step-by-step explanation:

52%-> 130

100%-> 250

Answer:

$194.54!!

Step-by-step explanation:

Answer:

65.18

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

Answer:

18.081

Step-by-step explanation:

I'm pretty sure it's this.

Answer:

The answer is below

Step-by-step explanation:

Let s(t) represent the amount of salt in the tank at time t. Therefore:

ds / dt = (rate of salt flowing into the tank) - (rate of salt going out of the tank)

[tex]\frac{ds}{dt}=[(0.08\ kg/L*6\ L/min)+(0.09\ kg/L*5\ L/min)]-(\frac{s\ kg}{1000\ L}*11\ L/min ) \\\\\frac{ds}{dt}=(0.48\ kg/min+0.45\ kg/min)-(\frac{11s}{1000}\ kg/min )\\\\\frac{ds}{dt}=0.93\ kg/min-\frac{11s}{1000}\ kg/min \\\\\frac{ds}{dt}=\frac{930-11s}{1000}\ kg/min \\\\\frac{ds}{930-11s}=\frac{1}{1000}dt\\\\Integrating:\\\\\int\limits { \frac{ds}{930-11s}} \, ds=\int\limits {\frac{1}{1000}} \, dt\\\\-\frac{1}{11}ln(930-11s)=\frac{t}{1000}+C\\\\multiply\ through\ by\ -11:[/tex]

[tex]ln(930-11s)= - \frac{11t}{1000}+A\\\\Take \ exponential:\\\\930-11s=e^{ - \frac{11t}{1000}+A}\\\\930-11s=C_1e^{ - \frac{11t}{1000}}\\\\11s=930-C_1e^{ - \frac{11t}{1000}}\\\\s=\frac{930-C_1e^{ - \frac{11t}{1000}}}{11} \\\\To \ find\ C_1,s(0)=0.Hence:\\\\0=\frac{930-C_1e^{ - \frac{11(0)}{1000}}}{11} \\\\0=930-C_1\\\\C_1=930\\\\s(t)=\frac{930-930e^{ - \frac{11t}{1000}}}{11} \\\\s(t)=930(\frac{1-e^{ - \frac{11t}{1000}}}{11})[/tex]

A) So, the required value is [tex]1.01-\frac{11S}{1000}[/tex].

B) The required value is [tex]\frac{1010}{11} (1-e^{-11/1000t} )[/tex]

A differential equation is an equation that contains one or more terms and the derivatives of one variable (i.e., dependent variable) with respect to the other variable (i.e., independent variable).

                                                    [tex]\frac{dy}{dx} =f(x)[/tex]

(A) Let [tex]S(t)[/tex] denotes the number of kg of the salt in the tank at the time [tex]t[/tex] minutes.

Then,

[tex]\frac{ds}{dt}=[/tex](rate of salt in to tank)-(rate of salt of tank)

[tex]\frac{ds}{dt}=\left ( 0.08\times 0.09\times 5 \right )-\left ( \frac{s\left (t\right )}{1000}\times 11 \right ) \\ \therefore \frac{ds}{dt}=1.01-\frac{11S}{1000}[/tex]

(B)

[tex]\frac{ds}{dt}=\frac{101}{100}-\frac{11S}{1000} \\ \Rightarrow \frac{ds}{dt}=\frac{1010-11S}{1000} \\ \Rightarrow \frac{ds}{1010-11S}=\frac{dt}{1000}[/tex]

Integrating we get,

[tex]-\frac{1}{11}I_n|1010-11S|=\frac{t}{1000}+In \ C_1 \\ \Rightarrow 1010-11S=C_1e^{-11/1000t} \\ S(t)=\frac{1010-C_1e^{-11/1000t}}{11}[/tex]

Initially, [tex]S(0)=0\\\Rightarrow C_1=1010[/tex]

Then the required solution is,

[tex]\therefore S(t)=\frac{1010}{11} (1-e^{-11/1000t} )[/tex]

Learn more about the topic of Differential Equation: https://brainly.com/question/24546081

Answer:

im not sure sorry try asking an addalt

Step-by-step explanation:

nu4

Answer: 13, remainder : 3

Step-by-step explanation:

The quotient and remainder of 55 divided by 4 are 13 and 3 respectively.

We have to given that,

To find the quotient and remainder of 55 divided by 4.

We can divide it,

⇒ 55 ÷ 4

4 ) 55 ( 13

  - 4

 -------

    15

  - 12

 ---------

       3

Hence, We get;

After divide,

Quotient = 13

Remainder = 3

Therefore, the quotient and remainder of 55 divided by 4 are 13 and 3 respectively.

Learn more about the divide visit:

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Answer:

Step-by-step explanation:

0.1×0.1 = 0.01

0.1×2 = 0.2

0.3×0.04 = 0.012

1.2×0.12 = 0.144

Answer:

15% off

Step-by-step explanation:

Answer:

i need help go to my question from this brainly.com/question/25995862

Step-by-step explanation:

expanding the brackets makes this:

-63g – 36 + 14g² + 8g

simplifying it more makes this:

14g²–55g–36

hope that helped:)

Answer:

5 g + 13

Step-by-step explanation:

Answer:

(13 + y) / 5

Step-by-step explanation:

Grandma Gertrude gave 13 pieces and Grandma Fien gave y pieces. The total number of pieces of jewelry can be expressed as 13 + y.

The total of 13 + y is divided among 5 Carlson sisters. This can be expressed by (13 + y) / 5.

Hope this helps!

Answer:

212272.71

Step-by-step explanation:

we have the following equation (for interesting that compound yearly)

PV(1+i)^n

200000(1+.015)^4

212272.71

The total amount of interest Katy will get at the end of 4 years is £12,272.71

The steps are as follow:

p = £200 000

r = 1.5%

n = 4 years

A = p(1+r/100)ⁿ

A = 200000(1+1.5/100)⁴

A = 212,272.71 £

C.I. = A - p

C.I. = 212,272.71 - 200,000

C.I. = £12,272.71

So the  total amount of interest Katy will get at the end of 4 years is £12,272.71

Learn more about Compound interest here:

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Answer: 2nd one because the amount of cars is either less than 7 or equal to

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

The formula for the volume of a cube is given as [tex]V=s^{3}[/tex]. if s=3in, then V=27inches cubed.

Answer:

The zero means nothing, it's just being used as a placeholder, like .7 and 0.7 mean the same thing.

good luck, i hope this helps :)

4.730 and 4.73 are equivalent because 0 has no value therefore if 0 has no value and you take away the 0 than you get 4.73 and 4.73.

Answer:[tex]4x^{3}[/tex][tex]\sqrt[3]{25x^{2} }[/tex]

Step-by-step explanation: