The graph shows the amount of petrol used, in litres, against distance travelled in miles.
How many litres of petrol are used to travel 39 miles?

9514 1404 393

Answer:

  (√6)/3

Step-by-step explanation:

The relation between cot(x) and sin(x) is ...

  sin(x) = 1/√(cot(x)^2 +1)

Filling in the given value, we have ...

  [tex]\displaystyle\sin{\theta}=\frac{1}{\sqrt{\left(\frac{\sqrt{2}}{2}\right)^2+1}}=\sqrt{\frac{2}{3}}\\\\\boxed{\sin{\theta}=\frac{\sqrt{6}}{3}}[/tex]

Step-by-step explanation:

Answer:

6x3+5=23

Step-by-step explanation:

Answer:

(0,1.5)

Step-by-step explanation:

(x,y)

Answer:

5

Step-by-step explanation:

it is 5 because you do 1+4=5

Answer:

.7880

Step-by-step explanation:

Answer:

pretty sure it's 0.7880 !!! good luck, this stuff is super tough :(

Step-by-step explanation:

Answer:

-1,-16

Step-by-step explanation:

y=ax^2+box+c

Answer: here you go

Step-by-step explanation:

A) 2x + 4y = 14

B) 4x + y = 20

If you multiply equation A by -2, then when the equations are added, the x will be eliminated.

The solutions are:

X = 4.714285714285714

Y = 1.1428571428571428

Answer:

x= 3 + or - √5

hope this helps

have a good day :)

Step-by-step explanation:

Answer;

Mark traveled at the highest velocity to Charleston

Answer:

It’s (-3, -4)

Step-by-step

I did this program too.

Answer:

-24

Step-by-step explanation:

To represent a charge of $24 debited from a bank account, this type of transaction being described as a debit means that a sum of $24 was deducted from the account, meaning the total amount in the account will reduce after this transaction takes place. Hence a charge of $24 being debited will take a negative sign as could be represented by the integer - 24

Answer:

[tex]2\sqrt{34}[/tex] ≈ 11.6619

Step-by-step explanation:

Answer: 6 units Step-by-step explanation: Use the distance formula, [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]. Plug the x and y values from the given points into the distance formula:

[tex]\sqrt{(7-[-3])^{2}+(4-[-2])^{2}}[/tex]

Simplify:

[tex]2\sqrt{34}[/tex] ≈ 11.6619

If this is what you wanted, please consider marking my answer as the Brainliest.

Thank you!

The distance between two coordinate points is 11.66 units.

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].

The given coordinate points are (-3, -2) and (7, 4)

Substitute (x₁, y₁) =(-3, -2) and (x₂, y₂)=(7, 4) in distance formula, we get

Distance = √[(7+3)²+(4+2)²]

= √(100+36)

= √136

= 11.66 units

Therefore, the distance between two coordinate points is 11.66 units.

To learn more about the distance formula visit:

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Answer:

C) C, B, D, E, A, F

Step-by-step explanation:

The closer the data points are to each other along the line of best fit on a scatter plot, the greater the correlation coefficient and vice versa.

Therefore, the scatter plot that has the least correlation coefficient would be the scatter plot with the data points that are farther apart from each other along the line of best fit which is C, followed by B, D, E, A, and F.

Answer:

hardening of the arteries.

Answer:

9/60 and 8/60

Step-by-step explanation:

They both have the number 60 in common

Answer:

f = (20 × 15) + (10 × 6)

Step-by-step explanation:

You are just find how many fish are salt water and how many freshwater and adding them together. The total number of aquariums is irrelevant in this case.

Answer:

20 x 15 =  A                    A= 300

10 x 6 =  B                      B=60

A + B = F                         F= 360

300 + 60 = F

300 + 60 =360

Step-by-step explanation:

Pleasee marrkk me blainist

Answer:

0.125 = 12.5% probability that they are a great match now.

Step-by-step explanation:

To solve this question, we need the probability of a person being a great match, which i will use 0.1.

This question is solved using conditional probability.

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Is kind to animals.

Event B: Is a great match.

Probability of being kind to animals:

0.9 of 0.1(Is a great match).

0.7 of 1 - 0.1 = 0.9(is not a great match). So

[tex]P(A) = 0.9*0.1 + 0.7*0.9 = 0.72[/tex]

Probability of being kind to animals and a great match:

0.9 of 0.1. So

[tex]P(A \cap B) = 0.9*0.1 = 0.09[/tex]

What is the probability that they are a great match now?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09}{0.72} = 0.125[/tex]

0.125 = 12.5% probability that they are a great match now.

Answer:

I need more information to help you on this question.

Step-by-step explanation:

The points after image reflection in the line x = 2 will be k'(1, 0), L'(4, -4) and J'(3, -1).

In math, graph science is the theory of geometric structures called graphs that are used to represent pairwise different objects. Vertices—also known as nodes or points—that are joined by edges make form a network in this sense.

Undirected graphs, where edges connect two vertices equally, and focused therapy, where edges connect two vertices unevenly, are distinguished.

As per the given information in the question,

Here mirror (x = 2) is vertical, hence only x-coordinate changes vertical distance from x-axis will not change.

For point k(3, 0)

It is one unit right side or x  = 2. So, its  image point will be one unit left side that is k'(1, 0).

For point L(0, -4)

It is two unit left side, so L' will be 2 unit right side of x = 2, so the point will be L'(4, -4)

Similarly, point J(1, -1) will become J'(3, -1).

To know more about Graph:

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Answer:

here you go. hope this helps

Answer:

-4.23205080...

Step-by-step explanation:

Answer:

[tex]perimeter = 2(length + breadth) \\ =2 (54 + 8) \\ = 124 \: cm[/tex]

Solution :

We know that

[tex]$H_0: \mu_1 = \mu_2=\mu_3$[/tex]

[tex]$H_1 :$[/tex] At least one mean is different form the others (claim)

We need to find the critical values.

We know k = 3 , N = 35, α = 0.05

d.f.N = k - 1

       = 3 - 1 = 2

d.f.D = N - k

        = 35 - 3 = 32

SO the critical value is 3.295

The mean and the variance of each sample :

Goust                      Jet red                 Cloudtran

[tex]$\overline X_1 =50.5$[/tex]           [tex]$\overline X_2 =50.07143$[/tex]        [tex]$\overline X_3 =55.71429$[/tex]

[tex]$s_1^2=19.96154$[/tex]      [tex]$s_2^2=14.68681$[/tex]         [tex]$s_3^2=36.57143$[/tex]

The grand mean or the overall mean is(GM) :

[tex]$\overline X_{GM}=\frac{\sum \overline X}{N}$[/tex]

         [tex]$=\frac{51+51+...+49+49}{35}$[/tex]

        = 52.1714

The variance between the groups

[tex]$s_B^2=\frac{\sum n_i\left( \overline X_i - \overline X_{GM}\right)^2}{k-1}$[/tex]

     [tex]$=\frac{\left[14(50.5-52.1714)^2+14(52.07143-52.1714)^2+7(55.71426-52.1714)^2\right]}{3-1}$[/tex]

   [tex]$=\frac{127.1143}{2}$[/tex]

   = 63.55714

The Variance within the groups

[tex]$s_W^2=\frac{\sum(n_i-1)s_i^2}{\sum(n_i-1)}$[/tex]

    [tex]$=\frac{(14-1)19.96154+(14-1)14.68681+(7-1)36.57143}{(14-1)+(14-1)+(7-1)}$[/tex]

   [tex]$=\frac{669.8571}{32}$[/tex]

  = 20.93304

The F-test  statistics value is :

[tex]$F=\frac{s_B^2}{s_W^2}$[/tex]

  [tex]$=\frac{63.55714}{20.93304}$[/tex]

  = 3.036212

Now since the 3.036 < 3.295, we do not reject the null hypothesis.

So there is no sufficient evidence to support the claim that there is a difference among the means.

The ANOVA table is :

Source       Sum of squares    d.f    Mean square    F

Between    127.1143                 2      63.55714          3.036212

Within        669.8571             32      20.93304

Total           796.9714            34

Answer:

a. True

b. True

c. False

d. False

e. False

Step-by-step explanation:

The matrix with orthonormal column must be in square for that it forms orthogonal matrix. Every orthonormal set of non zero vector is linearly independent. This statement is correct because there is linear combination of non zero vectors.

Answer:

The p value is: 0.0301

Step-by-step explanation:

Given

[tex]\mu = 131520[/tex]

[tex]\bar x = 124247[/tex]

[tex]n = 30[/tex]

Required

Determine the p value

First, calculate the standard deviation of the given data.

This is calculated as:

[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]

So, we have:

[tex]\sigma = \sqrt{\frac{(83700 - 124247)^2 + (84380- 124247)^2 + (89380- 124247)^2 + ..... + (156920- 124247)^2 + (168370- 124247)^2}{30}}[/tex]

[tex]\sigma = \sqrt{\frac{13427820070}{30}}[/tex]

[tex]\sigma = \sqrt{447594002.333}[/tex]

[tex]\sigma = 21156[/tex]

The test statistic is then calculated as:

[tex]t = \frac{\bar x - \mu}{\sigma/\sqrt n}[/tex]

[tex]t = \frac{124247 - 131520}{21156/\sqrt{30}}[/tex]

[tex]t = \frac{-7273}{21156/5.48}[/tex]

[tex]t = \frac{-7273}{3860.58}[/tex]

[tex]t = -1.88[/tex]

The p value is calculated as:

[tex]P(Z > -1.88)[/tex]

[tex]P(Z>-1.88) = 0.030054[/tex]

[tex]P(Z>-1.88) = 0.0301[/tex] --- approximated.

Hence, the p value is: 0.0301

Answer:

4

Step-by-step explanation:

Answer: Percentage increase: 12.5%

Step-by-step explanation: (EXAMPLE)  percentage increase/decrease = (Vnew - Vold) / Vold × 100%

Example #1

Price percentage increase from old value of $1000 to new value of $1200 is caluclated by:

percentage increase = ($1200 - $1000) / $1000 × 100%

= 0.2 × 100% = 20%

Answer:

12.5%

Step-by-step explanation:

1350 - 1200 / |1200| × 100% =

150 / 1200 × 100 = 12.5%

Answer:

the answer is A

A function that represents a $1866 laptop that decreases in value by 20% each year is f(n)=1866(1.2)ⁿ.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that,

$1866 laptop that decreases in value by 20% each year.

Here, f(n)=1866(1+20%)ⁿ, where n is the number of years

f(n)=1866(1+20/100)ⁿ

f(n)=1866(1.2)ⁿ

Therefore, a function that represents a $1866 laptop that decreases in value by 20% each year is f(n)=1866(1.2)ⁿ.

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Answer:

23/108

Step-by-step explanation:

Remark

Ways of making Eight

Answer

P(8) = 21 / 216

P(12) = 25/ 216

P(8 or 12) = 21/216 + 25/216

P(8 or 12) = 46/216 = 23/108

Answer:

62 in

Step-by-step explanation:

You can split up the rectangles and find the surface area of each on them add them

Hope this helps!