The points 1 , B and ( are (9 , 8) , ( 12, 4) and (4, - 2) respectively
(a) Find
(1)
the gradient of the line through d and B
(¡i)
the equation of the line through C which is parallel to AB
(b) Calculate the length of the line segment
(i)
[21
(11)
BC
[21
(c) Show that AB is perpendicular to BC 121
(d) Calculate the area of triangle ABC
[1)

The value for the test statistic and the p value on the test when the researcher wanted to see if different breeds of dogs will be x² = 0.9421 and 0.05 < p value < 0.10.

From the information given, the null hypothesis is that the variables have no difference while the alternative hypothesis is that they have a difference.

The degree of freedom will be:

= (3 - 1) × (3 - 1)

= 4

The critical value is 9.4877. In this case, the p value is greater than the significance level. Therefore, we fail to reject the null hypothesis.

Learn more about research on:

https://brainly.com/question/968894

#SPJ1

Answer:

Step-by-step explanation:

From Khan

Answer:

100 packages

Step-by-step explanation:

If 5 packages out of 100 are incorrect , then there's a 1/20 chance that a package has an incorrect weight

Therefore out of 2000

it's

[tex] \frac{1}{20} \times 2000 = 100[/tex]

Hope it helps

Sorry I'm not really good at explaining

Using the Empirical Rule, it is found that 95% of the employees will have a travel time within the following range:

B. 8 minutes to 28 minutes.

It states that, for a normally distributed random variable:

Considering that the mean time is 18 minutes and the standard deviation is 5 minutes, the the bounds of the 95% range are given by:

Hence option B is correct.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

#SPJ1

Answer:

$8.78

Step-by-step explanation:

first you need to find 20% of $175.50

which is 35.10

then you divide 35.10 by 4 leaving you with 8.78

please mark brainliest

Answer:

  y = 1·cos(π/3·x) +3

Step-by-step explanation:

The general form of the trig equation will be ...

  y = (amplitude)·cos(2π/(period)·x) +(midline shift)

__

You have already determined correctly that the midline shift is 3 units.

The amplitude is the difference between the peak value (4) and the midline, so is ...

  amplitude = peak - midline = 4 -3 = 1

The period is the horizontal distance between corresponding parts of the graph. Here, the distance between peak values is 6 units, so the period is 6. That means the argument of the cosine function is ...

  (2π)/6·x = (π/3)·x

__

The function you are looking for is ...

  [tex]y=1\cdot\cos\left(\dfrac{\pi}{3}x\right)+3[/tex]

Answer:

[tex]y=\boxed{1}\: \cos(\:\boxed{1}\:x)+\boxed{3}[/tex]

Step-by-step explanation:

General form of cos periodic function:

y = A cos(B(x + C)) + D

where:

Parent function → y = cos(x)

The parent function y = cos(x) has a center line at y = 0.

The center line of the new function is at y = 3, so the parent function has been shifted vertically by 3 units.  Therefore, D = 3:

⇒ y = A cos(B(x + C)) + 3

The amplitude of the parent function is 1.

The amplitude of the new function is also 1.  Therefore, A = 1:

⇒ y = 1 cos(B(x + C)) + 3

The parent function has a peak at x = 0.

The new function has a peak at x = 0.  Therefore there has been no horizontal phase shift, so C = 0:

⇒ y = 1 cos(B(x + 0)) + 3

⇒ y = 1 cos(Bx) + 3

Finally, from inspection of the curve, the period appears to be 2π (6.28)

2π/B = 2π  so  B = 1

⇒ y = 1 cos(1x) + 3

Please see attached graph for reference.

Answer:

Either %16.67 or %17 if rounded

Step-by-step explanation:.

An easy way to do this is convert the probability from a fraction into a percent. We can do this by taking the total number of chocolate squares (18) and using this as a denominator. Then take the number of white chocolate squares (3) and using this as our numerator. This give us a fraction of 3/18. Now to turn this into a percent, we need to find what you need to multiply 18 by to get 100. We can do this easily by deviding 100 by 18. This is a long decimal so i'll keep it in fraction form (100/18). Now you just have to multiply 3 by (100/18). This is about 16.67. If the answers are rounded it will be 17%.

Answer:

yes

Step-by-step explanation:

the slope stays constant throughout

Answer:

adjacent

Step-by-step explanation:

you are lucky its only 83 degrees where you live

its over 90 where i live

Answer:

= 15

Step-by-step explanation:

21 + 15 = 36

36/2 = 18

Therefore, 15 is the missing number :33

Answer:

15.

Step-by-step explanation:

There are  6 ( even number) of values in the data so:-

the median is the mean of the 2 middle numbers.

Therefore, we have:

(x + 21)/2 = 18 where x is the missing number.

x + 21 = 2*18

x = 36 - 21 = 15.

Answer:

34.1 %

Step-by-step explanation:

One standard deviation below the mean to the mean covers approx  34.1 %

The Jocelyn needs to pay $87.5 if Jocelyn order cakes from store B if store A charges $1.50 per serving plus a $25.00 delivery charge. Store B charges $2.25 per serving and no delivery charge.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the total cost is $x if Jocelyn purchase cake from store A:

x = 1.50×150 + 25

x = 225+25 = $250

Let's suppose the total cost is $y if Jocelyn purchase cake from store B:

y = 2.25×150

y = $337.5

Difference between total cost = 337.5 – 250 = $87.5

Thus, the Jocelyn needs to pay $87.5 if Jocelyn order cakes from store B if store A charges $1.50 per serving plus a $25.00 delivery charge. Store B charges $2.25 per serving and no delivery charge.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

The sum of angle ∠FEC and angle ∠ECF is 90°. Then they are complementary angles.

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

DE is tangent to circle C, at point F.

Then prove that angle ∠FEC and angle ∠ECF are complementary angles.

We know that the radius of the circle and the tangent on the circle make a right angle at the circumference.

Then angle ∠EFC will be 90°.

The sum of all interior angles of the triangle is 180°. Then we have

∠FEC + ∠ECF + ∠EFC = 180°

  ∠FEC + ∠ECF + 90° = 180°

            ∠FEC + ∠ECF = 90°

The sum of angle ∠FEC and angle ∠ECF is 90°. Then they are complementary angles.

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ1

Answer: It finally let me answer this. Give me brainliset if another person answers. You have to make a bar graph and then put the same info on it.

Answer:18 feet

Step-by-step explanation:

It would be 18 feet because if you add 8 feet from how far him and Sidney are then 10 feet from how far Sidney and Ling are.

Answer:

512 cubic inches

Step-by-step explanation:

[tex] \sqrt[3]{64} = 4[/tex]

[tex] {8}^{3} = 512[/tex]

Answer:

f(x ) ----> Output

x     -----> Input

-5  -------> Slope

2  --------> y -intercept

Step-by-step explanation:

f(x)  = -5x + 2

Compare this with y = mx + b

m = slope =  co efficient of x

b =  y-intercept = constant term

f(x ) ----> Output

x     -----> Input

-5  -------> Slope

2  --------> y -intercept

Answer:

A. 64

Step-by-step explanation:

In this problem, you're trying to find out what b is.

With the information that you have, you know that the answer will be 16, and your denominator (what you'll be dividing by) is 4. What you got wrong in this was thinking of it as "what times 4 equals 16", to which you got the answer 4 because 4*4=16. But, that's not exactly what you're supposed to be doing.

If we looked at it like that in this problem, you'd have b=4, making the equation then look like 4/4=16. This isn't true because 4/4=1.

Instead, to get the correct answer, you'll be multiplying 4, the denominator, by 16, our solution. With this, you'll get the answer A. 64.

If you have any more questions, feel free to reach out for help.

Answer:

We are given an equation of [tex]\frac{b}{4} = 16[/tex] and we need to determine what b is.  The way that we would do this is what you did and we would multiply both sides by 4 which would get rid of the 4 in the fraction and this would end up multiplying 16 by 4 giving us [tex]b=64[/tex].  This would best match with option A which is 64.

Hope this helps!  Let me know if you have any questions

Answer:

Hello the answer would be A units up because my caluaitons Sense that it is A

Answer:

Step-by-step explanation:

Answer:

m∠1 = 83

m∠2 = 97

m∠3 = 83

m∠4 = 97

m∠5 = 83

m∠6 = 97

m∠7 = 83

Step-by-step explanation:

When two lines are parallel,

m∠8 = m∠4 = 97 ( Alternate interior angles )

m∠8 = m∠2 = 97 ( Alternate interior angles )

m∠6 = m∠4 = 97 ( Vertically opposite angles )

m∠2 and m∠3 are linear pair angles,

m∠2 + m∠3 = 180

97 + m∠3 = 180

m∠3 = 180 - 97

m∠3 = 83

m∠1 = m∠3 = 83 ( Vertically opposite angles )

m∠3 = m∠7 = 83 ( Alternate interior angles )

m∠7 = m∠5 = 83 ( Vertically opposite angles )

Answer:

  (D)

Step-by-step explanation:

The box plot is a visual representation of the 5-number summary of the data. It shows the extremes, the quartiles and the median.

__

Each data set has 11 elements, sorted into increasing order.

The first and last elements of the data set correspond to the ends of the whiskers, so you are looking for a set that ranges from 3 to 18. (This eliminates choice B.)

The median will be the middle element, the 6th from either end. The vertical line in the box identifies its value as 10. (This eliminates choice A.)

The first quartile is the middle element of the bottom half of the data set (what remains after the median and above elements are removed). There are 5 elements in the bottom half, so the first quartile is the 3rd one. It is signified by the left end of the box in the box plot. Its value is 7. (This eliminates choice C.)

Similarly, the third quartile is the 3rd element from the right end of the data set. The value 13 in choice D matches the right end of the box in the box plot.

The box plot represents the data set in Choice D.

Step-by-step explanation:

1 15625 m

2 13824 m

3 343 m

4 14167 m

5 cube with 25 m

Answer:

8:15 am.

Step-by-step explanation:

So the starting time will be 50 minites before 9:05 am.

That will be 9:05 - 50

=  9:00 - 45

= 8:15 am.

Answer:

1.) A

2.) D

3.) A

Step-by-step explanation:

Answer:

1.2

Step-by-step explanation:

{2.8, 0.75, +1.2}

Median: 1.2

Answer:  4.75

Step-by-step Explanation

Explanation:

If line r and line s are parallel, then the two angles marked must be congruent. Refer to the corresponding angles theorem for more details.

This means we'll set the angles equal to one another and solve for x.

angle1 = angle2

40-4x = 50-8x

-4x+8x = 50-40

4x = 10

x = 10/4

x = 2.5