Calculate the rate of change for the following data

Answer:

D

Step-by-step explanation:

From the given scatter plot, it is positive correlation.

Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.

Interpretation of correlation

From the given graph,

The coordinates points are in increasing order.

Therefore, the correlation is positive.

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Answer:

14

Step-by-step explanation:

84/6

Answer:

a) 0.3 liters

b) 3 ÷ 10 = 0.3 liters

Step-by-step explanation:

3 ÷ 10

3 × 1/10

0.3

Using the Central Limit Theorem, it is found that the mean of the sample proportions would approach 0.3, hence option C is correct.

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

In this problem, we have that the parameter is p = 0.3, hence the mean of the sample proportions would approach 0.3 and option C is correct.

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Explanation:

A square has all four sides the same length. So the length and width are the same.

We can see that (length)*(width) = (1/4)*(1/4) = 1/16 square miles.

If you wanted, you could solve for W in (1/4)*W = 1/16 and you should get W = 1/4.

Answer:

D. -2/7

Step-by-step explanation:

Answer:

(xou)2

Step-by-step explanation:

A yacht is traveling 35° west of south at 15 miles/hour in still water. Find the component form of vector r, which represents the yacht's motion.

Answer:

The answer is below

Step-by-step explanation:

The empirical rules states that for a normal distribution, 68% of the data falls within one standard deviation from the mean, 95% falls within two standard deviation from the mean and 99.7% falls within three standard deviations from the mean.

Given that:

mean (μ) = 71 inches, standard deviation (σ) = 4.3 inches

One standard deviation = μ ± σ = 71 ± 4.3 = (66.7, 75.3)

Two standard deviation = μ ± 2σ = 71 ± 2*4.3 = (62.4, 79.6)

Three standard deviation = μ ± 3σ = 71 ± 3*4.3 = (58.1, 83.9)

The graph is attached

Answer:

[tex]Equation : \ y = \frac{4}{5}x + 4[/tex]

Step-by-step explanation:

To find equation of a line we will consider two points through which the lines passes .

Let it be  ( -5 , 0 ) and ( 0 , 4 )

Step 1 : Find the slope

             [tex]slope , m = \frac{y_2 - y_1}{x_2-x_1} = \frac{0-4}{-5-0} = \frac{-4}{-5} = \frac{4}{5}[/tex]

Step 2 : Equation of the line

             [tex](y - y_1) = m(x - x_1) \\\\or \\\\(y - y_2) = m (x -x _2)[/tex]

We will use the second point ( 0. 4)

                     [tex](y - 4) = \frac{4}{5}(x - 0)\\\\y = \frac{4}{5}x + 4[/tex]

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

Explanation:

You can use the nCr formula shown below

[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]

where n = 39 and r = 1. However, you could also use the identity

[tex]_n C _{1} = n[/tex]

which basically says there are n ways to pick 1 item if you are given a choice of n items. In this specific case, we have 39 items total, and there are 39 ways to pick one item.

Answer:

Angle RST is nowhere to be found

Step-by-step explanation:

Help us help you. Please include enough information to answer your question.

Answer:

221

Step-by-step explanation:

5(3)2-4

Answer:

221

Step-by-step explanation:

Answer:

Option B. ( x=1,-5/2 Or x=-5/2,1)

Step-by-step explanation:

2x2+3x−5=0

Step 1: Factor left side of equation.

(2x+5)(x−1)=0

Step 2: Set factors equal to 0.

2x+5=0 or x−1=0

x=−5/2  or x=1  

(The Answer you can just switch it around but dont worry its still the same answer nothing change...)

Answer:

Slope = 15/4

Step-by-step explanation:

Use the slope formula and you'll get the same answer.

Hope this helps:)

Answer:

(x, y) = (-2,-5)

Step-by-step explanation:

Multiply the first equation by 3,and multiply the second equation by 1.

3(3x+y=−11)

1(4x−3y=7)

Becomes:

9x+3y=−33

4x−3y=7

Add these equations to eliminate y:

13x=−26

Then solve13x=−26for x:

13x=−26

13x

13

=

−26

13

(Divide both sides by 13)

x=−2

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

3x+y=−11

Substitute−2forxin3x+y=−11:

(3)(−2)+y=−11

y−6=−11(Simplify both sides of the equation)

y−6+6=−11+6(Add 6 to both sides)

y=−5

Answer:

x=−2 and y=−5

810.93

Let the pressure be given by P and the volume be V.

Since pressure is inversely proportional to volume, we can write;

P ∝ [tex]\frac{1}{V}[/tex]

=> P = [tex]\frac{c}{V}[/tex]          -------------(i)

Where;

c = constant of proportionality.

When the volume of the gas is 2 cubic feet, pressure is 1000 pounds per square foot.

V = 2 ft³

P = 1000lb/ft²

Substitute these values into equation (i) as follows;

1000 = [tex]\frac{c}{2}[/tex]

=> c = 2 x 1000

=> c = 2000 lbft

Substituting this value of c back into equation (i) gives

P = [tex]\frac{2000}{V}[/tex]

This is the general equation for the relation between the pressure and the volume of the given gas.

To calculate the work done W by the gas, we use the formula

[tex]W = \int\limits^{V_1}_{V_0} {P} \, dV[/tex]

Where;

V₁ = final volume of the gas = 3ft³

V₀ = initial volume of the gas = 2ft³

Substitute P = [tex]\frac{2000}{V}[/tex], V₁ = 3ft³ and V₀ = 2ft³

[tex]W = \int\limits^{3}_{2} {\frac{2000}{V} } \, dV[/tex]

Integrate

W = 2000ln[V]³₂

W = 2000(In[3] - ln[2])

W = 2000(0.405465108)

W = 810.93016

W = 810.93 [to 2 decimal places]

Therefore, the work done by the gas for the given pressure and volume is 810.93

Answer:

6

Step-by-step explanation:

KL = 26-(11+9) = 26-20 =6

Answer:

KL is 6

Step-by-step explanation:

IL is 26, IJ = 9 JK= 11

IL= IJ + JK + KL

26= 9 + 11 + KL

Rearrange

KL= 9 + 11 - 26

    = 6

Answer:

[tex]n = \frac{20}{7}[/tex]

Step-by-step explanation:

[tex]4n + 5 = 25 - 3n\\4n + 3n = 25 - 5 \\7n = 20\\\\n = \frac{20}{7}[/tex]

Answer:

n = 20/7

Step-by-step explanation:

4n+5=25-3n

Add 3n to each side

4n+3n+5=25-3n+3n

7n +5 = 25

Subtract 5 from each side

7n+5-5=25-5

7n = 20

Divide by 7

7n/7 = 20/7

n = 20/7

Answer:

l=15

Step-by-step explanation:

let length=l

width=w

l=3w-2

w=(l+2)/3

Perimeter P=2(l+w)=2[l+(l+2)/3]=2(4l+2)/3≤43

2(4l+2)≤129

8l+4≤129

8l≤125

l≤125/8

so l=15

________________

P=2(l+w)=2(3w-2+w)=8w-4≤43

8w≤47

w≤47/8

l≤141/8-2

l≤125/8

l=15

Answer:

B.35 is the value of x in the figure

Answer:

7(y intercept)

Step-by-step explanation:

y = mx +c form

y = 21-7x/3

c = 21/3 = 7(y intercept)

x i have no idea

To find x-intercept ,put y= 0 in the given eqn

So, 7x+3(0) = 21

=> 7x =21

=> x= 21/7 = 3

x-intercept = 3

Similarly, to find y-intercept put x=0 in the given eqn

So ,7(0)+3y=21

=> 3y=21

=> y= 21/3 = 7

y-intercept = 7

Answer:

Statement:-                   Reason:-

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Answer:

you see on the right where the ( - ) are put the dot at -3 which is on the line because y } -x (which means your on the negative side) + 3 is -6 so put the dot on 6

Answer:

The answer seems to be 3/1.

Step-by-step explanation:

Use the equation:

(y2-y1)/(x2-x1)

Answer:

180

Step-by-step explanation:

Answer:

Step-by-step explanation:180