Choose all pairs of points that are reflections of each other across both axes.
A. (–4 1/2, 1) and (–1, 4 1/2)
B. (2.5, –1) and (–2 1/2, 1)
C. (4.2, –1) and (2.4, –1)
D. (1, –2.25) and (–1, 2 1/4)
E. (–2, 2 1/3) and (2, 2 1/3)

Answer:

Equal to each other.

Step-by-step explanation:

The mean and median of a normal distribution are both equal to the mode. In other words, the mean, median, and mode of a normal distribution are all the same.

Answer:

Step-by-step explanation:

Answer:

a

[tex]P(X \ge 1) = 0.509 [/tex]

b

[tex]P(X  \ge 1) = 0.6807 [/tex]

Step-by-step explanation:

From the question we are told that

   The number of students in the class is  N  =  20  (This is the population )

   The number of student that will cheat is  k =  3

   The number of students that he is focused on is  n  =  4

Generally the probability distribution that defines this question is the  Hyper geometrically distributed because four students are focused on without replacing them in the class (i.e in the generally population) and population contains exactly three student that will cheat.

Generally  probability mass function is mathematically represented as

      [tex]P(X = x) =  \frac{^{k}C_x * ^{N-k}C_{n-x}}{^{N}C_n}[/tex]

Here C stands for combination , hence we will be making use of the combination functionality in our calculators  

Generally the that  he finds at least one of the students cheating when he focus his attention on four randomly chosen students during the exam is mathematically represented as

      [tex]P(X \ge 1) =  1 - P(X \le 0)[/tex]

Here  

   [tex]P(X \le 0) =  \frac{ ^{3} C_0 *  ^{20 - 3} C_{4- 0}}{ ^{20}C_4}[/tex]

   [tex]P(X \le 0) =  \frac{ ^{3} C_0 *  ^{17} C_{4}}{ ^{20}C_4}[/tex]

   [tex]P(X \le 0) =  \frac{ 1 *  2380}{ 4845}[/tex]

    [tex]P(X \le 0) =  0.491[/tex]

Hence

    [tex]P(X \ge 1) =  1 - 0.491[/tex]

     [tex]P(X \ge 1) = 0.509 [/tex]

Generally the that  he finds at least one of the students cheating when he focus his attention on six randomly chosen students during the exam is mathematically represented as

    [tex]P(X \ge 1) =  1 - P(X \le 0)[/tex]

   [tex]P(X  \ge 1) =1- [  \frac{^{k}C_x * ^{N-k}C_{n-x}}{^{N}C_n}] [/tex]

Here n =  6

So

    [tex]P(X  \ge 1) =1- [  \frac{^{3}C_0 * ^{20 -3}C_{6-0}}{^{20}C_6}] [/tex]

    [tex]P(X  \ge 1) =1- [  \frac{^{3}C_0 * ^{17}C_{6}}{^{20}C_6}] [/tex]

    [tex]P(X  \ge 1) =1- [  \frac{1  *  12376}{38760}] [/tex]

    [tex]P(X  \ge 1) =1- 0.3193 [/tex]

    [tex]P(X  \ge 1) = 0.6807 [/tex]

Answer: d. positive.

Step-by-step explanation: the graph shows a line that is increasing.

Answer:

Randomized block design

Step-by-step explanation:

A randomized block design is essentially an experimental design where the units of the experiment are in groups which are called blocks. Now, treatments are usually randomly allocated to the units of experiment inside each block and when all the treatments appear a minimum of one time in each block, we can conclude that we have achieved a completely randomized block design.

Now, in the question we see that the experimental units which is the "30 horses at high risk for enteroliths" are divided into 3 groups. We can call these groups blocks. Now we see that further treatments such as alfalfa diet, grass hay diet and oat hay diet are assigned to different horses each within those groups/blocks.

Now, this description fits the definition of a randomized block design given above.

Thus, the study is a randomized block design

Answer:

$66.00

Step-by-step explanation:

What you do is you times 110 x 44 and then you do 110-44 which you should  get this $66.00

Answer: 4

Step-by-step explanation:

Answer:

The first digit after the decimal represents the tenths place. The next digit after the decimal represents the hundredths place. The remaining digits continue to fill in the place values until there are no digits left.

hope that helps!

Answer:

A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one.The first digit after the decimal represents the tenths place. The next digit after the decimal represents the hundredths place.

Step-by-step explanation:

Answer:

Appropriately 10 hot dogs

Step-by-step explanation:

Answer:SSS

Step-by-step explanation:

Answer:

82

Step-by-step explanation:

calculator

Answer:

see the picture there is the answer

Answer:

The equation below can be used to find the length of a foot or forearm when you know one or the other. (length of the foot) = 0.860 • (length of the forearm) + 3.302 If you let y = length of the foot and x = length of the forearm, this equation can be simplified to y = 0.860x + 3.302.

Step-by-step explanation:

Answer:

14 dollars

Step-by-step explanation:

If he sells 10 packs, then it will be 4 times less than 40, which means that the pricwe will be 4 times less, or 64 dollars divided by 4 = 14 dollars

Answer:

The rate is $2.5

Step-by-step explanation:

Given that the expression for the pay of employee is given as

P(b) = 5/2b + 45

we can simplify the fraction and write it as decimal as

P(b) = 2.5b + 45

This means that the employees have a fixed pay of $45

and also a rate of $2.5 per peaches picked

therefore the answer is A. $2.5

The rate is $2.5

Answer:

P(x)= -0.6x^3 + 500x^2  

Step-by-step explanation:

given data

monthly cost

C(x) = 400x^2 + 300x

revenue is

R(x) = -0.6x^3 + 900x^2 – 400x + 700,

where x is in thousands of boxes sold.

we know that the profit is the difference between the revenue and the cost.

therefore P(x)=R(x)-C(x)

P(x)= -0.6x^3 + 900x^2 – 400x + 700-(400x^2 + 300x )

P(x)= -0.6x^3 + 900x^2 – 400x + 700-400x^2 - 300x

P(x)= -0.6x^3 + 500x^2  

Answer:

w= 6

Step-by-step explanation:

I just started by making an educated guess using the values already given. Then I inserted that into the problem to see if it worked.

L= 2w - 5

I used 6 as a random, educated guess for the value of w.

L = 2(6) - 5

L = 12-5

L = 7

Then, multiply L by 2 to account for both side lengths of the rectangle.

7(2)= 14

Subtract that value from the total perimeter to find what the width must equal.

26 - 14 = 12

Divide that answer by 2 since there are two sides for width.

12/2 = 6

I know this was kind of long, but I hope it helps! :)

Answer:

10ft

Step-by-step explanation:

Given parameters:

Central angle  = 252°

Arc length  = 44ft

Unknown:

Radius = ?

Solution:

To find the radius of the circle, let us use the expression;

       Arc length  = [tex]\frac{central angle}{360}[/tex] x 2πr

 Insert the parameters and solve for r,

         44  = [tex]\frac{252}{360}[/tex] x 2 x 3.142 x r

          44  = 4.4r

               r  = 10ft

Step-by-step explanation:

[tex]2y + 106 = 180[/tex]

[tex]y = 106 \div 2 = 53[/tex]

[tex]y = 53[/tex]

[tex]4z + 16 = 180[/tex]

[tex]4z = 180 - 16[/tex]

[tex]z = 164 \div 4 = 41[/tex]

and the answer for x is 106

Answer: True

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

The 90% confidence interval is   [tex]15.66< \mu < 15.94 [/tex]

Step-by-step explanation:

From the question we are told that

  The population standard deviation is  [tex]\sigma = 2.2[/tex]

  The  sample mean is  [tex]\= x = 15.8 \ gallon[/tex]

   The sample size is  n  =  669

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>  [tex]E = 1.645  *  \frac{ 2.2}{\sqrt{669} }[/tex]

=>  [tex]E = 0.1399[/tex]

Generally 90% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>    [tex]15.8  - 0.1399 <\mu<  15.8  + 0.1399 [/tex]

=>    [tex]15.66< \mu < 15.94 [/tex]

Answer:

the answer is part 3 : exactly 30 .....

Answer:

-3

Step-by-step explanation:

We have to find the difference:

We start with 5 yellow counters

Since we have to subtract more yellow counters than we have (5 instead of 8), we add 3 zero-pairs:

We subtract the 8 yellow counters:

We are left with 3 red counters, which means the result is -3

Answer:

[tex]\angle ABD =42.4^{\circ}[/tex]

Step-by-step explanation:

We are given that Point C is in the interior of ∠ABD

We are also given that ∠ABC ≅ ∠CBD

Now ,

[tex]\angle ABC = (\frac{5}{8}x + 18)\\\angle CBD = (4x)[/tex]

Since we are given that ∠ABC ≅ ∠CBD

So, [tex]\frac{5}{8}x + 18=4x\\4x-\frac{5}{8}x=18\\\frac{32x-5x}{8}=18\\\frac{27x}{8}=18\\x=\frac{18 \times 8}{27}\\x=5.3[/tex]

[tex]\angle CBD = (4x)=4(5.3)=21.2^{\circ}[/tex]

[tex]\angle ABD = \angle CBD+\angle ABC=21.2+21.2=42.4^{\circ}[/tex]

Hence [tex]\angle ABD =42.4^{\circ}[/tex]

Answer:

[tex]y = - \frac{7}{2} x + \frac{47}{2}[/tex]

Answer:

It looks as though it would be A because it starts at 30 and goes up steadily by 5. B increases too quickly, C does not increase, and D decreases.

Step-by-step explanation: