A camper drove 80 miles to a recreational area and then hiked 4 miles into the woods. The rate of the camper while driving was 10 times the rate while hiking. The total time spent hiking and driving was 3 hours. Find the rate at which the camper hiked.

Answer:1/12

Step-by-step explanation:

Answer: 21

Step-by-step explanation: multiply 7 by 3, which = 21

Answer:

yeah im sorry i have no idea

Step-by-step explanation:

bro im soooooooo sorry

Answer:

306

Step-by-step explanation:

The correct option among the given is option B , bias in OLS slope estimates caused by autocorrelation.

In the presence of autocorrelation, as in the case of heteroscedasticity, the OLS estimators are still linearly unbiased, consistent, and asymptotically normally distributed, but they are no longer efficient (i.e., minimum variance).

A dummy variable is a binary variable with a value of either 0 or 1. Such variables are added to a regression model to represent binary factors, which are either observed or not observed.

A dummy variable can be used to indicate whether a data point possesses a specific property. A dummy variable, for example, can be used to indicate whether a car engine is 'Standard' or 'Turbo.' Or whether a participant in a drug trial is in the placebo or treatment groups.

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Answer: 19 new bears

Step-by-step explanation: To find the percentage of something, let's recall the formula:

Whole number x part % / 100

So, let's plug in the numbers to the formula:

95 x 20 / 100

95 x 20 = 1900

So, 1900 / 100 = 19; our answer

I hope this helped!

The family  can spend 1 hour on the trampoline and 2 hours in the pool and the inequalities are 10t + 5p ≤ 25  and t + p < 4.

a ) Let the time on the trampolines  = t  

           10t + 5p ≤ 25

            t + p < 4

b )No, the family cannot  spend 1 hour in the trampoline and 3 hours in the pool.

c ) No, the family cannot  spend 2 hours in the trampoline and 1.5 hours in the pool.

         10t + 5p ≤ 25

         10(2)+ 5(1.5) = 27.5

d ) Yes, the  family  can spend 1 hour on the trampoline and 2 hours in the pool.

        10t + 5p ≤ 25

        10(1)+ 5(2) = 20

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Answer:

she needs 24l red and 32l blue paint

Step-by-step explanation:

3:4 ratio with 56 liters of

Answer:

y = 57,5°

z = 57,5°

n = 65°

Step-by-step explanation:

Answer:

Your answer is x = 65° , y = 57.5° , z = 57.5°

Step-by-step explanation:

There is a triangle isoscocles so two angles are the same. There is a parallel line where two lines are the same.

<x = 65° and <y° = <z°

so

<x + <y + <z = 180

Plug in angle x.

65° + <y° + <z° = 180°

Subtract 65 to both sides.

<y° + <z° = 180° - 65°

<y° + <z° = 115°

Since <y° = <z° we substitute one of them

<y° + <z° = 115°

<y° + <y° = 115°

Add the <y° together

2y = 115°

Divide 2 to both sides to get y by itself.

<y° = 57.5°

So <y° = <z° = 57.5°

x is the independent variable in the linear equation  ax + by + c = 0

and y is the dependent variable in the linear equation.

Given, an independent variable in a linear function,

we have to define the independent and dependent variables.

Let suppose a linear equation be,

ax + by + c = 0

now, in the above linear equation,

by  = -ax - c

y = -(ax + c)/b

So, the value of variable x in the above linear equation, is independent and don't depend on any other variable whereas the value of variable y in the above linear equation, is dependent as it depends on the value of the variable x.

Therefore, x is the independent variable in the linear equation and y is the dependent variable in the linear equation.

The value of independent variables can be changed by us whereas the value of dependent variables changes on the basis of the value of independent variables.

Hence, the value of independent variables can be changed by us whereas the value of dependent variables changes on the basis of the value of independent variables.

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Resources that are available in limited quantities on the earth are called Exhaustible resources.

The resources which are present in limited amounts are referred to as exhaustible resources. These resources can be consumed and end someday and are also termed non-renewable resources.

Exhaustible natural resources are available in a limited quantity and cannot be replaced within a reasonable period of time and have the risk of being exhausted by human activities. Such Resources take millions of years to form.

Exhaustible resources are usually not environmentally friendly since they are improperly and inefficiently used and are generally very expensive.

Coal, petroleum, and Forests are examples of exhaustible natural resources.

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A Coordinate Plane is a two-dimensional plane formed by the intersection of two number lines. One of these number lines is a horizontal number line called the x-axis and the other number line is a vertical number line called the y-axis.

What is a Coordinate Plane?

A Coordinate Plane is a two-dimensional plane formed by the intersection of two number lines. One of these number lines is a horizontal number line called the x-axis and the other number line is a vertical number line called the y-axis.

Elements of the Coordinate Plane

Quadrants: The two number lines divide the coordinate plane into 4 regions. These regions are called Quadrants. The quadrants are denoted by roman numerals and each of these quadrants have their own properties.

Quadrant I: The upper right Quadrant is the first Quadrant denoted as Quadrant I. In this quadrant, the x-axis and the y-axis both have positive numbers.

Quadrant II: The upper left Quadrant is the second Quadrant denoted as Quadrant II. In this quadrant, the x-axis has its negative numbers and the y-axis has positive numbers.

Quadrant III: The bottom left Quadrant is the third Quadrant denoted as Quadrant III. In this quadrant, both the x-axis and the y-axis have negative numbers.

Quadrant IV: The bottom right Quadrant is the fourth Quadrant denoted as Quadrant IV. In this quadrant, the x-axis has positive numbers and the y-axis has negative numbers.

1.The coordinate plane was created hundreds of years ago. The system is commonly referred to as the Cartesian coordinate system because French mathematician René Descartes invented it.

2.The points on the x-axis have their y-coordinate 0 so the points on x-axis are represented as (x,0) and similarly the points on y-axis have their x-coordinate 0, so they are represented as (0,y).

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Answer:

Definition - The plane containing the "x" axis and "y" axis.

Examples - (4,9), (24,90), etc

Facts - The coordinate plane is a two-dimension surface formed by two number lines. One number line is horizontal and is called the x-axis. The other number line is vertical number line and is called the y-axis. The two axes meet at a point called the origin.

Step-by-step explanation:

Answer:

  a.  False

  b.  True

  c.  True

  d.  True

  e.  False

Step-by-step explanation:

You want to know the truth value of various logical expressions when b = False, and x = 0.

An And (&&) expression is true if and only if all parts are true. An OR (||) expression is true if any part is true.

When 'b' is false, b&&__ will be false, and !b||__ will be true. This makes (a) and (e) false, and (d) true.

When x = 0, __||x==0 will be true, so (b) is true.

The And (&&) of expression (c) will only be true when both parts are true. For b = False and x = 0, both parts are true, so (c) is true.

   {a, b, c, d, e} = {False, True, True, True, False}

The strongest correlation is represented by -0.97. It can be find out using knowledge of correlation coefficients.

What is the correlation coefficient between 1 and -1?

The formula returns a value between 1 and -1 :

where 1 indicates a strong positive relationship and -1 indicates a strong negative relationship.

According to the rule of correlation coefficients , the strongest correlation is considered when the value is closet to either (+1) or (-1).

So, in given options -0.97 is closet to (-1).

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The scores of both test Solomon took are 14 for the first test and 4 for the second test.

let a represent the first score and b represent the second score.

since the average score is 18, you get (a + b) / 2 = 18

multiply both sides of this equation by 2 to get a + b = 36

the product of her scores is 56 means that a × b = 56.

you have 2 equations that need to be solved simultaneously.

they are a + b = 36 and a × b = 56

solve for a in the second equation to get a = 56 / b.

replace a with 56/ b in the first equation to get 56/ b + b = 18

multiply both sides of this equation by b to get 56 + b^2 = 18b

subtract 14b from both sides of this equation and arrange the terms in descending order of degree to get b^2 - 18b + 56 = 0

Factorise the quadratic equation to get the following:

(b-4 ) ( b - 14) = 0

Solve for b to get b = 4 and b = 14

Therefore, the product of the of the two scores:

= 14×4 = 56. This means that he scored 14 in first test and 4 in the second test.

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The answer to the given question, assuming that all variables are implicit functions of time t, the indicated rate x^2 + 5y^2 + 2y = 75; dx/dt = 14 when x = 6 and y = -3 is dy/dt = 6.

An implicit function is a function which is defined by an implicit equation, written in terms of both dependent and independent variables. While an explicit function is a function which is represented in terms of an independent variable.

In this case, we have equation:

x^2 + 5y^2 + 2y = 75

We use the chain rule to bridge it:

2x(dx/dt) + 10y(dy/dt) + 2(dy/dt) = 0

Since x = 6; y = -3; and dx/dt = 14, then:

2x(dx/dt) + 10y(dy/dt) + 2(dy/dt) = 0

2*6*14 + 10*(-3)*(dy/dt) + 2*(dy/dt) = 0

168 + (-30)(dy/dt) + 2(dy/dt) = 0

168 - 28(dy/dt) = 0

28(dy/dt) = 168

dy/dt = 6

Hence, the indicated rate x^2 + 5y^2 + 2y = 75; dx/dt = 14 when x = 6 and y = -3 is dy/dt = 6.

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Answer: Answer would be -65

It should be that?

The measure of the angle Q in degrees is 90° if angles Q and R form a right angle.

A right angle is defined as an angle that is exactly 90 degrees in geometry and trigonometry. If a ray is positioned so that its terminal is on a line and the angles are also equal, the angles are said to be at right angles. The phrase derives from the Latin angulus rectus, where rectus denotes the upright vertical line that is perpendicular to a horizontal base line.

Perpendicular lines—defined as lines that meet at right angles—and orthogonality—defined as the ability to intersect at right angles—are closely connected and crucial geometrical notions.

Q and R create a right angle given.

Therefore, the angle formed by either Q or R is 90 degrees.

Angle R is doubled by the given angle Q.

From there, Q must have an angle of 90 degrees.

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Answer:

F = (9/5)C + 32

Step-by-step explanation:

C = 5/9(F-32)        **you wrote the fraction wrong in your question, it's 5/9, not 5/6

C = (5F)/9 - 160/9

C + 160/9 = (5F)/9

9C + 160 = 5F

(9C + 160)/5 = F

F = (9/5)C + 32

Answer:                   F = (6C/5) + 32

To express F in terms of C, rearrange the equation to isolate 'F'.

To rearrange the equation, we want 'F' to be by itself. To move numbers to the other side, we do the other pair of inverse operation to both sides. This cancels out what we don't need while keeping the left and right sides equal.

Pairs of inverse operations

[tex]\displaystyle { C = \frac{5}{6}*(F-32) }[/tex]                  Start with the equation in the question.

[tex]\displaystyle { C = \frac{5*(F-32)}{6} }[/tex]                  Rewrite. This is the same as the question.

[tex]\displaystyle { 6C = \frac{5*(F-32)}{6}*6 }\\[/tex]           Multiply both sides by 6.

[tex]\displaystyle { 6C = 5*(F-32) }[/tex]                 Cancelled out 6 on the right.

[tex]\\\displaystyle { \frac{6C}{5} = \frac{5*(F-32)}{5} }[/tex]                Divide both sides by 5.

[tex]\displaystyle { \frac{6C}{5} = (F-32) }[/tex]                      Cancelled out 5 on the right.

[tex]\displaystyle { \frac{6C}{5} = F-32 }[/tex]                         We don't need the brackets if 'F - 32' is alone.

[tex]\displaystyle { \frac{6C}{5}+32 = F-32+32 }[/tex]         Add 32 to both sides.

[tex]\displaystyle { \frac{6C}{5}+32 = F }[/tex]                         Cancelled out 32 on the right.

[tex]\displaystyle { F = \frac{6C}{5}+32 }[/tex]                         Keep lone variables on the left side.

Therefore, the equation to convert Celsius to Fahrenheit is:

           [tex]\displaystyle { F = \frac{6C}{5}+32 }[/tex]

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On solving the question, by the help of, Fundamental Theorem of Calculus, we got answer  [tex]3xe^x[/tex]

A theorem that connects the ideas of differentiating a function from integrating a function is known as the fundamental theorem of calculus. The two processes are inverses of one another, with the exception of a constant number that is dependent on the starting point for computing area.

When asked to compute the derivative of an integral, utilize the calculus fundamental theorem rather than evaluating the integral.

FTOC informs us that:

[tex]\frac{d}{dx} [\int\limits^{3x}_t {3lnt} \, dxt] = 3xe^x[/tex]

(That is, the integral's derivative returns the original function to us.)

We are required to locate:

h'(x) where h(x)= [tex]\int\limits^{3x}_t {3lnt} \, dxt= 3xe^x[/tex]

what we want

[tex]h'(x) = \frac{d}{dx} [\int\limits^{ex}_t {3lnt} \, dxt] = 3xe^x.............................A[/tex]

(Note that the first integral's upper limits are not in the proper format for the FTOC to be applied immediately.) The chain rule and a replacement can be used to alter the definite integral. Let:

[tex]u = e^x = \frac{du}{dx} = e^x[/tex]

Using the chain rule and substituting into the integral [A], we obtain:

[tex]\frac{d}{dx} [\int\limits^{ex}_t {3lnt} \, dxt] =[/tex][tex]\frac{d}{dx} [\int\limits^{u}_t {3lnt} \, dxt] = 3xe^x[/tex]

= [tex]e^x \frac{d}{du} [\int\limits^{ex}_t {3lnt} \, dxt] = 3xe^x[/tex]

now we got answer - [tex]3xe^x[/tex]

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The correlation coefficient mostly based on all the observation's values' with the deviations from about the mean for both variables. So, it's true.

A correlation coefficient is a statistical degree of the diploma to which modifications to the cost of 1 variable are expecting extrade to the cost of another. In definitely correlated variables, the cost will increase or decreases in tandem. A correlation coefficient is a variety of among -1 and 1 that tells you the electricity and path of a courting among variables.

In different words, it displays how comparable the measurements of or greater variables are throughout a dataset. Both quantify the path and electricity of the connection among numeric variables. When the correlation (r) is negative, the regression slope (b) might be negative. When the correlation is positive, the regression slope might be positive.

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The following list has six more terms than the preceding one. What does x+z equal if it is -10?

A series of numbers is an ordered list. The three dots signify moving forward in the set pattern. Each digit with in sequence is referred to as a word. The first term in the list is 1, followed by the second by 3, the third by 5, and so on.

t1=X\st2=y\st3=Z

t4=7\st5=13

common distinction Since d=6, t4=t3+d 7=t3+6 t3=7-6 t3=1=Z

Z=1\st3=t2+d

X + Z= (-11) + 1 X+Z = -10 because 1 = t2+6 t2= 1-6 t2= -5 = y y= -5 t2= t1+d -5= t1+6 t1= -5 -6 t1= -11 =X X = -11

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The total cost of the crafting supplies is $25.5. This can be find using percentage and rate concepts.

What is tax rate and percentage?

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. All of something is 100 percent , half of it is 50 percent , none of something is 0 percent.

Tax is the money that govt collects based on income, sales and other activities.

A tax rate is the percentage at which an individual or corporation is taxed.

In the given que,

Purchased amount = $24.

Tax rate = 6.25%

Tax paid = 24*(6.25/100)

               = $1.5

So, total amount paid = $1.5 + $24

                                    = $25.5

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Answer:

48

Step-by-step explanation:

0.8 * 60 = 48

Answer: Unimodal and Right Skewed

Explanation:

When almost all the data is falls to the right of the graph's peak is known as a right skewed histogram.

A left skewed histogram would have almost all the data falling to the left of the graph's peak.

A histogram is described as uniform if every value in a dataset occurs roughly the same number of times. There are usually no peaks and the data set looks similar to a rectangle.

A Symmetric histogram would be symmetrical, both side of the peak of the graph are mirrored/completely identical.

I hope this helps to better understand :)

This question is related to the properties of similar figures. So, the true statements are

ΔBCD is similar to ΔBSR

BR/RD = BS/SC

BR * SC = RD * BS

Given that, RS is parallel to DC, so

∠BDC = ∠BRS (they are angles on the same side of transversal)

Similarly, we have

∠BCD = ∠BSR (they are angles on the same side of transversal)

∠CBD = ∠CBD (reflexive property)

ΔBCD ~ ΔBSR by Angle Angle Angle rule of congruency

ΔBCD ~ ΔBSR we therefore have,

BC/BS = BD/BR

(BS + SC)/ BS = (BR + RD) /BR

1 + SC/BS = 1 + RD/BR

SC/BS = RD/BR

Taking reciprocal on both sides, we have

BR/RD = BS/SC

From the above proven property, BR/RD = BS/SC

On cross multiplication, we get

BR * SC = RD * BS

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a) Null Hypothesis; p = 0.5

Alternative Hypothesis; p < 0.5

b) The test statistic is; z = 48.216

c) The p-value is  < 0.00001.

d) The conclusion of the hypotheses is that we reject the null hypothesis and conclude that the claim that most people believe that the Loch Ness monster exists is true.

Hypothesis testing is defined as the method used to find the probability of the hypothesis that is to be proved in the future on the basis of the small population sample.

Now, we are told that Among ​20,111 responses, 67 ​% were​ "yes." Thus;

Sample proportion; p^ = 67%

The population proportion is not given and as such we will use; p = 50% = 0.5

Thus;

Null Hypothesis; p = 0.5

Alternative Hypothesis; p < 0.5

The formula for the test statistic is;

z = (p^ - p)/√(p(1 - p)/n)

z = (0.67 - 0.5)/√(0.5(1 - 0.5)/20111)

z = 48.216

The p-value from online p-value from z-score calculator is;

p-value  < 0.00001.

The p-value is less than the significance value and so we reject the null hypothesis and conclude that the claim that most people believe that the Loch Ness monster exists is true.

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Answer:

20(-2x+5)

10(-4x+10)

Step-by-step explanation:

20(-2x+5) = -40x+100

10(-4x+10) = -40x+100

You just need to expand the brackets

The average customers are spending in the range of ( 196.36 , 203.64) for the given mean and standard deviation.

As given in the question,

Sample size 'n' = 50

Sample mean 'μ ' is equal to  200

Standard deviation 'σ' = 10

z-score for 99% Confidence interval = 2.576

Confidence interval = mean ± z ( σ / √n )

Substitute the values we get,

Confidence Interval = 200 ± 2.576( 10 / √50)

                                 = 200± 2.576 ( 1.414)

                                = 200 ± 3.642464

Lower bound of the required confidence interval = 200 - 3.642464

                                                                                 = 196.36

Upper bound of the required confidence interval = 200 + 3.642464

                                                                                  = 203.64

Therefore, the average customer is spending between ( 196.36 , 203.64) range from the given mean and standard deviation.

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