Calculate CDEFtrapezium

Answer:

3.012  

Step-by-step explanation:

Let use x to represent the length of time  some computer part may work

where ; we have a sample of  size n = 80

Say [tex]X_1, X_2, ... X_{80[/tex]

[tex]X_i[/tex]  [tex]\approx[/tex] [tex]exp (\lambda)[/tex]   where ( λ =26 days)

[tex]E( \bar X) = \frac{1}{n} \sum \limits^n_{i=1} E( {x_i})= 26[/tex]

[tex]V(\bar X) = \frac{1}{n^2} \sum \limits ^n_{i=1} U(X_i) = \frac{(26)^L}{n}[/tex]

So find [tex]\bar X 's[/tex] distribution using the Normal approximation.

[tex]\bar X \approx N (26, \frac{(26)}{n}^L)[/tex]

[tex]Z = \dfrac{\bar {X} - 26}{\frac{26}{\sqrt n}} \approx N (0,1)[/tex]

However, let's determine c such that:

[tex]P (-c \leq \bar x \leq c) = 0.8 \\ \\ P ( \dfrac{-c-26}{\frac{26}{\sqrt n}} \leq \dfrac{\bar x -26 }{\frac{26}{n} } \leq \dfrac{c-26}{\frac{26}{\sqrt n}}) =0.8[/tex]

[tex]P ( \dfrac{-c-26}{\frac{26}{\sqrt n}} \leq Z \leq \dfrac{c-26}{\frac{26}{\sqrt n}}) =0.8[/tex]

where; [tex]Z \approx N (0,1)[/tex]

[tex]P ( Z > \dfrac{c-26}{\frac{26}{\sqrt n}}) =0.15 = P ( Z < \dfrac{-c-26}{\frac{26}{\sqrt n}})[/tex]

[tex]\dfrac{c-26}{\frac{26}{\sqrt n}}= 1.036[/tex]

[tex]c= 26+\frac{26}{\sqrt 80}}* 1.036[/tex]

c = 29.0115

Given that :

The 80% percentile of the distribution of the average is of the form

E(X) + c

Then;

29.0115-26 = 3.0115

≅ 3.012    (to 3 decimal place)

Answer:2

Step-by-step explanation:

Step-by-step explanation:

Step 1:  Graph the inequalities

x - 5y ≤ 2

x + y > 0

Look at the attachment:

Answer:

Look below for the graph

Explanation:

We need to graph

x + y > 0

x - 5y ≤ 2

Hope this helps

give brainliest if you please

Answer:

17% , 15% , 6% , 10% , 40% , 6%

Step-by-step explanation:

You're going to have to divide the number of people who voted for those positions by the total number of people.

Adapting = 9 / 52 = 17%

Other = 8 / 52 = 15%

Yes = 3 / 52 = 6%

No = 5 / 52 = 10%

Absolutely = 21 / 52 = 40%

Maybe = 3 / 52 = 6%

Answer:

D) StartLayout Enlarged left-brace 1st row y = 4 x Superscript 5 Baseline minus 12 x Superscript 4 Baseline + 6x 2nd row y = 5 x cubed minus 2 x EndLayout

Step-by-step explanation:

Edg test

Answer:

d

Step-by-step explanation:

plain and simple

Answer:

Step-by-step explanation:

60 minutes divided by 5 times 8

96 feet

Answer:

Please see below

Step-by-step explanation:

The answers of True or False are given considering that the given statements correspond to lines and planes in a three-dimensional space.

(a) Two lines parallel to a third line are parallel.   True

(b) Two lines perpendicular to a third line are parallel.  False

(c) Two planes parallel to a third plane are parallel.  True

(d) Two planes perpendicular to a third plane are parallel.  False

(e) Two lines parallel to a plane are parallel.  False

(f) Two lines perpendicular to a plane are parallel.  True

(g) Two planes parallel to a line are parallel.  False

(h) Two planes perpendicular to a line are parallel.

(i) Two planes either intersect or are parallel.  True

(j) Two lines either intersect or are parallel.  False

(k) A plane and a line either intersect or are parallel. True

(a) Two lines parallel to a third line are parallel.   True

(b) Two lines perpendicular to a third line are parallel.  False

(c) Two planes parallel to a third plane are parallel.  True

(d) Two planes perpendicular to a third plane are parallel.  False

(e) Two lines parallel to a plane are parallel.  False

(f) Two lines perpendicular to a plane are parallel.  True

(g) Two planes parallel to a line are parallel.  False

(h) Two planes perpendicular to a line are parallel.

(i) Two planes either intersect or are parallel.  True

(j) Two lines either intersect or are parallel.  False

(k) A plane and a line either intersect or are parallel. True

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Answer:

Null hypothesis: [tex]\rho =0[/tex]

Alternative hypothesis: [tex]\rho \neq 0[/tex]

The statistic to check the hypothesis is given by:

[tex]t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}[/tex]

And is distributed with n-2 degreed of freedom. df=n-2[/tex]

For this case we got a significant result that means that the real correlation coefficient is different from 0 . And for this case the best interpretation would be:

This result indicates that earning more money influences people to recycle more than people who earn less money

Step-by-step explanation:

The correlation coeffcient is given by this formula:

[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]  

For this case we know that this value of r is positive and represent a string correlation between income level and the number of containers of recycling

In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:

Null hypothesis: [tex]\rho =0[/tex]

Alternative hypothesis: [tex]\rho \neq 0[/tex]

The statistic to check the hypothesis is given by:

[tex]t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}[/tex]

And is distributed with n-2 degreed of freedom. df=n-2[/tex]

For this case we got a significant result that means that the real correlation coefficient is different from 0 . And for this case the best interpretation would be:

This result indicates that earning more money influences people to recycle more than people who earn less money

Answer:

12/35

Step-by-step explanation:

Answer:

2y=3 = y = 3/2 = 1.500

 z = 10     =   z = 10

Steps below

Step-by-step explanation:

Solving a Single Variable Equation

Add  3  to both sides of the equation :  

                     2y = 3

Divide both sides of the equation by 2:

                    y = 3/2 = 1.500

Hope this helps.

Answer: I think it’s A sorrykf I’m wrong

Step-by-step explanation:

Answer:

About 2 of their next 5 deserts sold would be brownies.

Let's represent this by fractions. If 8 out of the 20 desserts they sold were brownies, that would make the fraction 8/20 represent how many brownies were sold.

Now if you reduce this fraction, you get 2/5, which tells about how many brownies will be sold in the next 5 brownies judging by the other data.

Answer:

Step-by-step explanation:

Comparing your equation to the standard form, we can find the values necessary to compute the discriminant:

  x^2 +x -30 = 0

  ax^2 +bx +c = 0

So, we have ... a = 1, b = 1, c = -30

The discriminant is defined as ...

  d = √(b² -4ac) = √(1² -4(1)(-30)) = √121

  d = 11

The solutions are ...

  x = (-b ± d)/(2a) = (-1 ±11)/2

  x = {-6, +5}

Answer:

Rational

Step-by-step explanation:

Because the decimal is repeating like 3.33333333 repeating it would be rational because it can be predicted that the number after it would be 3. If the answer was .5647395043794 with more number after it then it wouldn't be able to be determined and would be irrational.

The equation of the circle:

[tex](x-x_0)^2+(y-y_0)^2=R^2[/tex]

[tex]x_0=-6;y_0=-3; R=12,so\\(x-(-6))^2+(y-(-3))^2=12^2\\(x+6)^2+(y+3)^2=144[/tex]

Answer: [tex](x+6)^2+(y+3)^2=144[/tex]

Answer: -2 and 26

Step-by-step explanation:

-2 * 26 = -52

-2 + 26 = 24

Answer:

-2 and 26

Step-by-step explanation:

Answer:

C) [tex]G(x) = (x-1)^2-1[/tex]

Step-by-step explanation:

Answer:

d) 3

Step-by-step explanation:

1.5= 1 hour and 30 mins

+ 30 mins = 2 hours

.75 hours = 45 mins

+ 15 mins = 1 hour

2 hours + 1 hour = 3 hours

The solution is, d) 3 hours of activity do you have planned.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

given that, You have planned activities of 30 minutes, 15 minutes, 1.5 hours, and .75 hours.

now, we have,

1.5= 1 hour and 30 mins

with that add,

+ 30 mins = 2 hours

again, we know,

.75 hours = 45 mins

adding with that,

+ 15 mins = 1 hour

finally, adding we get,

2 hours + 1 hour = 3 hours

Hence, The solution is, d) 3 hours of activity do you have planned.

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Answer:

B. 6√2

Step-by-step explanation:

We can use the Pythagorean Theorem to solve this out. The Pythagorean Theorem states that for any right triangle with the shortest sides (called legs) as a and b and the longest side (called the hypotenuse) as c:

a² + b² = c²

Here, a = b = 6, so:

6² + 6² = c²

36 + 36 = c²

72 = c²

c = √72 = 6√2

Now, we see the answer is B.

However, there's a trick to solving these kinds of problems. Notice that DEF is both an isosceles triangle and a right triangle. We call these 45-45-90 triangles because those are the angles of the triangle.

One characteristic of these types of triangles is that their leg to leg to hypotenuse ratio is 1 : 1 : √2, always. We could apply that here. We see that the legs are 6, so we could find the hypotenuse simply by multiplying 6 by √2, and we would get 6√2, which is exactly the value we obtained above.

Thus, the answer is B.

Answer:

B. Yes, because it passes the vertical line test.

Step-by-step explanation:

Let's review why the other answers are incorrect.

First, A would not be correct since a curved line doesn't necessarily indicate that it is a function, however, it is a non-linear function since it's not a straight line but rather a curved line as said. Now, you might be wondering why exactly A would not be correct even if it is a non-linear function, the reason is because most of time, you are asked to find and determine if a graph is a function or not using the vertical line test.

Second, C would not be correct since it is saying that a function has to be a straight line, but as we've covered that above, in which a function does not have to be linear and can be non-linear which means it's a curved line. Thus, C is not correct as non-linear functions exist.

Third, D would not be correct because this graph actually does pass the vertical line test. In order for the graph to fail the vertical line test, it has to touch the graph in the same x points. This graph passes the vertical line test, since the x coordinates haven't repeated yet, however in some cases, the direction of the line may suddenly change and touch upon the same x points. But, in theory, this line would be starting from the origin and heading to infinity with it's curvature.

Lastly, the reason why B is correct is due to it passing the vertical line test. Again, we already covered this in the 3rd reason but I must make it clear that, this is a function since it passes the vertical line test.

Answer:

B

Step-by-step explanation:

We can eliminate options A and C because in order to be a function, a graph doesn't have to be curved or a straight line. For examlpe, a straight line isn't curved, and a parabola isn't a straight line, but they are still functions. This leaves us with options B and D, which both pertain to the vertical line test. If we conduct this test, we will find that no vertical line intersects the graph and 2 points. Therefore, it passes the vertical line test, and is a function. Hope this helps!

Answer:

The original number was 36.7.

Step-by-step explanation:

Multipliers:

The multiplier for a increase of a% is 1 + a/100.

The multiplier for a decrease of b% is 1 - b/100.

In this question:

The original value is x.

Increased by 28%, so we have that 1 + (28/100) = 1.28x. Equals 47. We have to find x.

1.28x = 47

x = 47/1.28

x = 36.7

The original number was 36.7.

[tex]184.5 \: ft {?}^{2} [/tex]

Answer:

Option B. is correct

Step-by-step explanation:

Given:

Data: 12 24 56 7 34 75 34 86 34 78 and 96

To find: the most appropriate first interval

Solution:

A histogram is a pictorial representation to display frequency data using rectangular bars.

In histogram, each bar is for a range of data.

For the given data, options A. is not appropriate as the least value given in the data is 7.

Option C. is not appropriate as then the data falls under just two intervals only.

Option D. is not appropriate as then the data falls under just one interval only.

Option B. is the most appropriate first interval

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

Answer: 68 inch

Step-by-step explanation:

Answer:

PLEASE GIVE BRAINLIEST AND THANKS

Mean=78.16666666666667‬ or 78.17 rounded

Median=  80.5

Step-by-step explanation:

Mean=add all up and divided by amount of numbers

median= order numbers from smallest to biggest and find the middle

Answer: 7

Step-by-step explanation: 1 + 6 = 7

Answer:

yes

Step-by-step explanation:

A literal equation is an equation where variables represent known values.

Answer: Mean = 9, Standard Deviation = 2.6

Answer:

The correct answer is:

Mean =9, standard deviation =2.6

Step-by-step explanation:

I got it right.