How many boxes could you stack safely on a pallet if the pallet is 5 feet deep, five feet across, every box is 1 x 1 and the maximum safe stacking height is 5 boxes? *

Answer:

CI 96 %  =  ( - 0.1128  ; 0.0728 )

CI 95%  =  ( - 0.1087 ; 0.6878 )

The two intervals contain 0 value therefore we can support that there is not statistics difference between the two groups with confidence level of 96 % and  95%

Step-by-step explanation:

Boys sample:

sample size   n₁  = 200

x₁  number of boys saying their parents are very involved in their lives

=  93

p₁ = x₁/n₁   =  93/200  =  0.465  then  q₁ =  1  -  p₁   q₁ = 1 - 0.465  q₁ = 0.535

Girls sample

sample size   n₂  = 300

x₂  number of girls saying their parents are very involved in their lives

=  172

p₂  =  x₂/n₂  =  172/ 300  =  0.573 then  q₂ = 1 -0.573  q₂ =  0.427

CI 96 %      α = 4 %  α = 0.04    α/2 = 0.02  

p₁  -  p₂  =  0.465 -  0.573  = - 0.168

CI 96 %   =  (  p₁  -  p₂ ) ±  z(c) * SE

z(c)  for  α  =  0.02       z(c)  =  - 2.05

SE = √ (p₁*q₁)/n₁  +  (p₂*q₂)/n₂

SE = √ ( 0.465*0.535)/200  +  (0.573*0.427)/300

SE =  √  0.00124  +  0.000815    

SE =  √  0.00205

SE =   0.0453

CI 96 %  =  (  -0.02  ±  ( 2.05 * 0.0453 ) )

CI 96 %  =  (  -0.02  ±  ( 0.0928 ))

CI 96 %  =  ( - 0.1128  ; 0.0728 )

a) CI 95%  α =  5 %   α = 0.05     α/2 =  0.025

SE = 0.0453

z(c) for  0.025 is from z-table   z(c)  =  1.96

CI 95%  =  ( - 0.02 ±  1.96 * 0.0453)

CI 95%  =  ( - 0.02 ± 0.08878 )

CI 95%  =  ( - 0.1087 ; 0.6878 )

Answer:

0.4494

Step-by-step explanation:

Given :

marks number of students

20-29 8

30-39 12

40-49 20

50-59 7

60-69 3​

The range Coefficient is obtained thus :

Range Coefficient = (Xm - Xl) / (Xm + Xl)

Where ;

Xm = Mid value of highest class = (60+69)/2 = 64.5

Xl = Mid value of lowest class = (20+29)/2 = 24.5

Range Coefficient = (64.5 - 24.5) / (64.5 + 24.5)

Range Coefficient = 40 / 89 = 0.4494

Answer:

$32 704

Step-by-step explanation:

(102.2÷100) × 32 000 = $32 704

Answer:

is that the full question?

Answer:

Solution:-

Given,

ab =perpendicular (p)= 6cm

ac =hypotenuse (h)= 12cm

cd =base (b)= ?

using , Pythagoras theorem we have ,

b²=√h²-p²

or,cd²=√ac²-ab²

= √12²-6²

= √144-36

=√108

=√10.8²

=10.8cm

the length of cd is 10.8 cm

hope it is helpful to you

Answer:

[tex]1-(5/6)^2[/tex]

31% chance

1 in 3.272727273 rolls

Step-by-step explanation:

Answer:

[tex]x \ge 1[/tex]

Step-by-step explanation:

Given

The number line

Required

Interpret

On the number, we have the following observations;

(1) The thick line starts from 1

(2) The line points to the right; this means greater than or/equals to

(3) The dot on 1 is a closed circle; this means greater than or equal to

So, the inequality is:

x greater than or equal to 1

i.e.

[tex]x \ge 1[/tex]

Answer:

c. 1.29

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Andy 70578 60000 8200

This means that [tex]X = 70578, \mu = 60000, \sigma = 8200[/tex]

What is the z-score of Andy's salary?

This is Z, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{70578 - 60000}{8200}[/tex]

[tex]Z = 1.29[/tex]

So the correct answer is given by option c.

9514 1404 393

Answer:

  4.7¢/min

Step-by-step explanation:

To find the cost in cents per minute, divide the cost in cents by the number of minutes.

  $31.00/(666 min) = (3100¢)/(666 min) ≈ 4.7¢/min

Answer:

78.2m

Step-by-step explanation:

Lenght of the arc= ( circumference) × ( fraction of the circle)

Circumference=2πr = 2×20×π

Radius=20 m

fraction of the circle can be calculated as 224°/360°= 0.662

Then substitute the values we have

Lenght of the arc=

(2×20×π) ×0.662

= 78.2,

Lenght of the arc is 78.2m

Answer:

Step-by-step explanation:

A). Volume of a rectangular prism = Length × Width × Height

                                                        = lwh

1). Volume of a rectangular prism if the measures of the sides are,

    Length (l) = 9 cm

    Width (w) = 4 cm                                              

    Height (h) = 3 cm                                            

    Therefore, volume = lwh

                                   = 9 × 4 × 3

                                   = 108 cm³

2). Length = 10 cm

     Width = 7 cm

     Height = 15 cm

     Volume = lwh

                   = 10 × 7 × 15

                   = 1050 cm³

3). Length = 14 cm

    Width = 10 cm

    Height = 9 cm

    Volume = 14 × 10 × 9

                  = 1260 cm³

B. Volume of a cube = (Side)³

4). If the measure of one side = 12 cm

    Volume of the cube = (12)³

                                      = 1728 cm³

5). If the measure of one side = 6 cm

   Volume of the cube = (6)³

                                     = 216 cm³

Step-by-step explanation:

so  the equation in standard form that models the given scenario is

2x + 3y = 24

Answer:

[tex]m = 12[/tex]

[tex]n =3[/tex]

Step-by-step explanation:

Given

[tex]P(x) = x^3 + mx^2 - nx - 10[/tex]

Required

The values of m and n

For x - 1;

we have:

[tex]x - 1 = 0[/tex]

[tex]x=1[/tex]

So:

[tex]P(1) = (1)^3 + m*(1)^2 - n*(1) - 10[/tex]

[tex]P(1) = 1 + m*1 - n*1 - 10[/tex]

[tex]P(1) = 1 + m - n - 10[/tex]

Collect like terms

[tex]P(1) = m - n + 1 - 10[/tex]

[tex]P(1) = m - n -9[/tex]

Because x - 1 divides the polynomial, then P(1) = 0;

So, we have:

[tex]m - n -9 = 0[/tex]

Add 9 to both sides

[tex]m - n = 9[/tex] --- (1)

For x + 2;

we have:

[tex]x + 2 = 0[/tex]

[tex]x = -2[/tex]

So:

[tex]P(-2) = (-2)^3 + m*(-2)^2 - n*(-2) - 10[/tex]

[tex]P(-2) = -8 + 4m + 2n - 10[/tex]

Collect like terms

[tex]P(-2) = 4m + 2n - 10 - 8[/tex]

[tex]P(-2) = 4m + 2n - 18[/tex]

x + 2 leaves a remainder of 36, means that P(-2) = 36;

So, we have:

[tex]4m + 2n - 18 = 36[/tex]

Collect like terms

[tex]4m + 2n = 36+18[/tex]

[tex]4m + 2n = 54[/tex]

Divide through by 2

[tex]2m + n=27[/tex] --- (2)

Add (1) and (2)

[tex]m + 2m - n + n = 9 +27[/tex]

[tex]3m =36[/tex]

Divide by 3

[tex]m = 12[/tex]

Substitute [tex]m = 12[/tex] in (1)

[tex]m - n =9[/tex]

Make n the subject

[tex]n = m - 9[/tex]

[tex]n = 12 - 9[/tex]

[tex]n =3[/tex]

9514 1404 393

Answer:

  3885

Step-by-step explanation:

The hundreds digit is 8, and the thousands digit is 5 less, so is 3.

The tens digit is 8 (the largest even digit), and the ones digit is 3 less, so is 5.

The number is ...

  3885

Answer:

i cant see the image

Step-by-step explanation:

Answer and Explanation:

The irrelevant alternative criterion states that if two candidates A and B contest for an election and candidate B is preferred to candidate A then any other candidate X should not cause candidate A to win the election.

In this case if Mason was candidate A, then candidate B should still win by the majority criterion method and the irrelevant alternative criterion would still be supported. However if he is candidate B then the irrelevant alternative criterion is not supported.

Answer:

third one

Step-by-step explanation:

Answer:welcome to brainly

Step-by-step explanation:

Hello there! My name is agenthammerx, a Master Answerer and Engagement Team Member here on Brainly. I am here to welcome you to the site! Thank you for taking initiative to check out Brainly and for posting your first question! The Brainly Community welcomes you. If you have any questions regarding anything about the site, please don’t hesitate to reach out to me! I will try my best to help you and answer your question or check out our help center at https://faq.brainly.com/

Answer:

A) Hence, the number of coffee cups that are risky = 17.4 Cups.

B) Here, the number of coffee cups that are risky = 59.5 Colas.

Step-by-step explanation:

A)

In 1 cup coffee  =[tex]8\times21.5mg= 172.0 mg[/tex]

Hence one cup of coffee contains 172 mg of caffeine. The risky level is 3000mg.

Therefore, the number of coffee cups that are risky

                                                         [tex]= 3000/172\\ \\=17.4 cups[/tex]

Here, the number of coffee cups that are risky = 17.4 cups.

B)

[tex]1 cola=12\times4.2mg\\\\ = 50.4mg / day[/tex]

Hence, one can cola contains 50.4 mg of caffeine.

The dangerous level is 3000 mg.

Therefore, the number of cola cans that are risky [tex]=3000/50.4= 59.5[/tex] cola is risky.

-1 is less than 0, so you use the first equation:

3(-1) +2 = -3+2 = -1

f(-1) = -1

For 0 use the 2nd equation:

3(0) + 4 = 0+4 = 4

f(0) = 4

For 2 use the 2nd equation:

3(2) + 4 = 6+4 = 10

f(2) = 10

Answer:

yes

Step-by-step explanation:

its correct because divide by 2/ 28/16=14/8

maybe

Hey there!

2 1/4

= 2 * 4 + 1 / 4

= 8 + 1 / 4

= 9 / 4

= 9 ÷ 4

= 2.25

Therefore, your answer is: 2.25

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Since you have this categorized under college math, I'm going to go out on a limb here and assume you're in calculus. We will solve using the position function and its first derivative (velocity) to solve. Remember that at an object's max height, the velocity is 0.

If the position function is

[tex]s(t)=-16t^2+24t+7[/tex] the first derivative, velocity, is

v(t) = -32t + 24. Set this equal to 0 to find the time when the object is at its max height:

0 = -32t + 24 and

-24 = -32t so

t = .75 seconds. Now we can plug that time into the position function to find where it is at that time. This "where" will be the max height:

s(.75) = [tex]-16(.75)^2+24(.75)+7[/tex] so

s(.75) = 16 feet

Answer:

1. subtracting 5

2. adding 20

3. dividing by 1/2

4. multiplying by 10

Answer:

The correct answer is - 7.166 years

Step-by-step explanation:

Given:

principle amount: 3000

rate of interest: 2%

time?

Interent to get: 430

Formula:

I = P*t*r/100

here p = principle

I = interest

r = rate of intrest and t = time

Solution putting value and deriving Time as formula:

(3000*2*t)/100 = 430

t = 43000/3000*2

= 7.166 years.

9514 1404 393

Answer:

  x = -5  or  x = -2

Step-by-step explanation:

Factoring, we have ...

  ((x +3 +2)((x +3) -1)) = 0

  (x +5)(x +2) = 0

  x = -5  or  x = -2 . . . . . . . . values that make the factors zero

Step-by-step explanation:

Triangle LNM is an adjecent interior angle

Answer:

I think it's C

Step-by-step explanation:

Let me know if it's incorrect.

Answer:

20,475 cream cups are possible.

Step-by-step explanation:

The order in which the flavors are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

4 cups from a set of 28.

So

[tex]C_{28,4} = \frac{28!}{4!24!} = 20475[/tex]

20,475 cream cups are possible.

Answer:

That transformation that happened was B rotation since b is rotated 180 degrees from A

Hope This Helps!!!