11 feet
Find the area of the square.
A = ft2

Answer:

8 Dozen eggs would mean, 8 X 12 = 96 eggs

Step-by-step explanation:

Answer:

[tex]\frac{2}{3}[/tex]

or

0.67

Step-by-step explanation:

a dozen is 12

12/4 = 3

8/4 = 2

8 is 2/3 of a dozen(12)

2/ 3 = 0.66666666666667 which is about 0.67

Answer: 0.0510 cm = 0.510 mm

Step-by-step explanation: zeros in the end of decimal number are significant.

Also 0.0510 cm has three significant numbers

Answer:

5+3+8 or if its wrong then 5+3+8+5+3 or just one 3.

Step-by-step explanation:

Answer: 4 months

Look at it this way: 6 books in a group. How many groups are there? well this is multiplication. Just add 6 a bunch of times until you get 24. You will add 6+6+6+6. There are 4 6's. This means, there are 4 months, with 6 books each month.

Answer: 4months

Step-by-step explanation:

Consider this: a set of six novels. What is the total number of groups? This is, after all, multiplication. Simply multiply 6 by 6 until you have 24. You'll multiply 6 by 6 by 6 by 6 There are four sixes. This implies there are four months in all, each with six books.

Answer:

1/6

Step-by-step explanation:

Answer: 1/6

Step-by-step explanation: 1/6 because your splitting it equally among 5 friends so all five friends gets 1/6 pie

Answer:

23 days

Step-by-step explanation:

We would first determine the volume of the tank. This gives information on the amount of water it can carry

WE divide the volume by the amount of water the town uses per day

Volume of a sphere = [tex]\frac{4}{3}[/tex]πr³

n = 3.14

r == radius

radius = 1/2 x diameter

radius = 26/2 = 13 meters

volume = (4/3) x (3.14) x (13^3) = 9198.106667 m^3

How long the tank would last = 9198.106667 / 400 = 23 days

Answer:

 7/16

Step-by-step explanation:

9514 1404 393

Answer:

  te, tm, (m-e), t

Step-by-step explanation:

The problem statement tells you how to interpret the expressions and their parts.

Swap the top two expressions on the right and the list will be in the appropriate order:

Answer:

2 potatoes

Step-by-step explanation:

10 ×1/5 =2×1=2

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer: 25

Step-by-step explanation: The median is the average of the middle two numbers and if the median will be 17.5 then the sum of the middle numbers will be 35, and when we arrange the numbers in the least to greatest order we realize that 10 will be one of the middle two numbers when a number is added, and so the other number must be 25. Hope this helped!

Answer:

F

Step-by-step explanation:

answer:

shape f !

step-by-step explanation:

hi there!

the question is asking us which shape matches shape a right, now if we look closely we already know that shapes d and b look like they match each other rather then shape a

shape a - 2, 2, 4

so they are out of the equation ( checking how long the sides are )

shape d - 3, 3, 3

shape b - 3, 3, 3

shapes e and c look like they match each other but just to make sure, i counted how long the each side was for both of them

( going by blocks )

shape c - 2, 3, 4,

shape e - 2, 3, almost 5

which does leave us left with shape f, but just to make sure.. lets count it!

shape f - 2, 2, 4,

which is the same numbers that shape a has!

shape f = shape a

hope this helps you!! and if i made a mistake reading the problem or doing the problem then please tell me :) have a good day

Answer:

0.7385 = 73.85% probability that it is indeed a sample of copied work.

Step-by-step explanation:

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: Identified as a copy

Event B: Is a copy

Probability of being identified as a copy:

80% of 15%(copy)

100 - 95 = 5% of 100 - 15 = 85%(not a copy). So

[tex]P(A) = 0.8*0.15 + 0.05*0.85 = 0.1625[/tex]

Probability of being identified as a copy and being a copy.

80% of 15%. So

[tex]P(A \cap B) = 0.8*0.15 = 0.12[/tex]

What is the probability that it is indeed a sample of copied work?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.12}{0.1625} = 0.7385[/tex]

0.7385 = 73.85% probability that it is indeed a sample of copied work.

Answer:

(d)

Step-by-step explanation:

The answer is d because it's pretty simple , you can have the white shirt with both trousers and the green shirt with both aswell.

Answer:Okay that was easy its 0.35

Step-by-step explanation:

Answer:

The smallest sample size that we should consider is 68.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation of 10 minutes.

This means that [tex]\mu = 10[/tex]

What is the smallest sample size that we should consider?

This is n for which M = 2. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]2 = 1.645\frac{10}{\sqrt{n}}[/tex]

[tex]2\sqrt{n} = 1.645*10[/tex]

[tex]\sqrt{n} = 1.645*5[/tex]

[tex](\sqrt{n})^2 = (1.645*5)^2[/tex]

[tex]n = 67.7[/tex]

Rounding up:

The smallest sample size that we should consider is 68.

Answer:

the domain for this parabola is all real numbers

9514 1404 393

Answer:

  (B)  14

Step-by-step explanation:

"d" is a value that makes the function be zero. The x-intercepts (zeros) of the function are at x=-6 and x=14, corresponding to factors (x +6) and (x -14). The (x+6) factor is already given in the equation, so we must conclude d=14.

Answer:

Step-by-step explanation:

Answer:

The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval. The variance is the same as the mean.

Average rate of 56 calls per hour:

This means that [tex]\mu = 56n[/tex], in which n is the number of hours.

Find the average and standard deviation of the number of service calls in a 15-minute period.

15 minute is one fourth of a hour, which means that [tex]n = \frac{1}{4}[/tex]. So

[tex]\mu = 56n = \frac{56}{4} = 14[/tex]

The variance is also 14, which means that the standard deviation is [tex]\sqrt{14} = 3.74[/tex]

The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.

Solution :

a).

Given : Number of times, n = 25

            Sigma, σ = 0.200 kg

            Weight, μ = 13 kg

Therefore the hypothesis should be tested are :

[tex]$H_0 : \mu = 13 $[/tex]

[tex]$H_a : \mu \neq 13$[/tex]

b). When the value of [tex]$\overline x = 12.84$[/tex]

 Test statics :

   [tex]$Z=\frac{(\overline x - \mu)}{\frac{\sigma}{\sqrt n}} $[/tex]

  [tex]$Z=\frac{(14.82-13)}{\frac{0.2}{\sqrt {25}}} $[/tex]

          [tex]$=\frac{1.82}{0.04}$[/tex]

          = 45.5  

P-value = 2 x P(Z > 45.5)

            = 2 x 1 -P (Z < 45.5) = 0

Reject the null hypothesis if P value  < α = 0.01 level of significance.

So reject the null hypothesis.

Therefore, we conclude that the true mean measured weight differs from 13 kg.

Given:

The figure of a trapezoid.

The figure is translated down 5 units and then rotated 180 degrees clockwise.

To find:

The coordinates of the image of point W after these transformation.

Solution:

From the given figure it is clear that the coordinates of point W are (-6,3).

The figure is translated down 5 units. So,

[tex](x,y)\to (x,y-5)[/tex]

[tex]W(-6,3)\to W'(-6,3-5)[/tex]

[tex]W(-6,3)\to W'(-6,-2)[/tex]

After that the figure is rotated 180 degrees clockwise.

[tex](x,y)\to (-x,-y)[/tex]

[tex]W'(-6,-2)\to W''(6,2)[/tex]

Therefore, the coordinates of point W after the given transformations are (6,2).

Answer:

72 sq ft.

Step-by-step explanation:

Surface area of Triangular prism=[2*(1/2)*3*4]+(5*5)+(3*5)+(4*5)=12+25+15+20=72 sq ft.

Answer:

Step-by-step explanation:

radius = 12.7

Diameter = 2 × radius

= 2 × 12.7

= 25.4 units

Answer:

A corresponds to angle E