ente. The box plot below shows the heights, in inches, of the 24 students in Brandon's homeroom -- 47 49 51 53 55 57 59 61 63 65 67 69 Select all the statements that describe the dass according to the box plot.​

Answer:

a) 0.9999 = 99.99% probability that a filled bag will weigh less than 49.5 kilograms

b) 0.0018 = 0.18% probability that a randomly sampled filled bag will weight between 48.5 and 51 kilograms.

c) 46.24 kilograms

d) The standard deviation would have to be of 3.41 kilograms.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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.

Mean of 45 kilograms and a standard deviation of 1.2 kilograms.

This means that [tex]\mu = 45, \sigma = 1.2[/tex]

a. What is the probability that a filled bag will weigh less than 49.5 kilograms?

This is the pvalue of Z when X = 49.5. So

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

[tex]Z = \frac{49.5 - 45}{1.2}[/tex]

[tex]Z = 3.75[/tex]

[tex]Z = 3.75[/tex] has a pvalue of 0.9999

0.9999 = 99.99% probability that a filled bag will weigh less than 49.5 kilograms

b. What is the probability that a randomly sampled filled bag will weight between 48.5 and 51 kilograms?

This is the pvalue of Z when X = 51 subtracted by the pvalue of Z when X = 48.5.

X = 51

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

[tex]Z = \frac{51 - 45}{1.2}[/tex]

[tex]Z = 5[/tex]

[tex]Z = 5[/tex] has a pvalue of 1

X = 48.5

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

[tex]Z = \frac{48.5 - 45}{1.2}[/tex]

[tex]Z = 2.92[/tex]

[tex]Z = 2.92[/tex] has a pvalue of 0.9982

1 - 0.9982 = 0.0018

0.0018 = 0.18% probability that a randomly sampled filled bag will weight between 48.5 and 51 kilograms.

c. What is the minimum weight a bag of dog food could be and remain in the top 15% of all bags filled?

This is the 100 - 15 = 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037

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

[tex]1.037 = \frac{X - 45}{1.2}[/tex]

[tex]X - 45 = 1.037*1.2[/tex]

[tex]X = 46.24[/tex]

46.24 kilograms.

d. CCI is unable to adjust the mean of the filling process. However, it is able to adjust the standard deviation of the filling process. What would the standard deviation need to be so that no more than 2% of all filled bags weigh more than 52 kilograms?

X = 52 would have to be the 100 - 2 = 98th percentile, which is X when Z has a pvalue of 0.98, so X when Z = 2.054. We would need to find the value of [tex]\sigma[/tex] for this.

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

[tex]2.054 = \frac{52 - 45}{\sigma}[/tex]

[tex]2.054\sigma = 7[/tex]

[tex]\sigma = \frac{7}{2.054}[/tex]

[tex]\sigma = 3.41[/tex]

The standard deviation would have to be of 3.41 kilograms.

Answer:

26 mm

Step-by-step explanation:

1 cm is equal to 10 mm

2.6 cm

> 2.6 x 10

> 26 mm

Answer:

B

Step-by-step explanation:

By using the fraction strip, if you think about it:

Pretend to color in 5/6 on the yellow side, and do the same to the 1/12 part, instead pretend to shade in 5/12. If you see how much remaining you have, you get 5/12.

Answer:

x(x − 6) (x + 5)

Step-by-step explanation:

this is the factored form of x^3 - x^2 - 30x

hope this helps and is right :)

Answer:

x= 16

Step-by-step explanation:

First, you want to distribute each side! (you're gonna wanna learn this because you will be having to do it for the next 3 years no joke it sucks)

7(x+2) can be distributed as 7x+14 after multiplying 7 times x and 7 times 2, and 6(x+5) can be distributed as 6x+30.

Now, you have to get the x on one side to solve for x (so like x=__).

To do this, look at the equation as of now. 7x+14=6x+30.

We can minus 14 and bring that to the right, and minus 6x and bring that to the left to separate the x's and the regular numbers.

Now we have  16=x (or x=16).

9514 1404 393

Answer:

  obtuse, straight

Step-by-step explanation:

If you insist on two answers, there is only one pair of answers that are self-consistent:

  obtuse, straight

__

m∠A = (11(13) +37)° = (143 +37)° = 180° . . . . a straight angle, also obtuse

Answer:

7x + 3

Step-by-step explanation:

Let's simplify step-by-step.

8x + 7 − x − 4

= 8x + 7 + −x + −4

Combine Like Terms:

= 8x + 7 + −x + −4

= (8x + −x) + (7 + −4)

= 7x + 3

Answer:

= 7x + 3

hope this helps and is right. p.s i really need brainliest :)

if my answer is wrong then I am incredibly sorry!

Answer:

3040000mm³

Step-by-step explanation:

Volume of a cube = a³ ; a = size of edge

Volume of cubical tank = 12³ = 12 * 12 * 12 = 1728 cm³

Half filled cube = 1728 / 2 = 864 cm³

Volume is f rectangular tank :

V = length * width * height

V = 10 * 8 * 7 = 560 cm³

Volume of water left in cubical tank :

(864 - 560) = 304cm³

1cm³ = 1000mm³

304cm³ = 304 * 1000 = 3040000mm³

Answer:

0.50%

Step-by-step explanation:

9514 1404 393

Answer:

  14.14

Step-by-step explanation:

The diagonal of a square is √2 times the side length.

  AC = AB×√2

  AC = 10√2 ≈ 14.14

_____

The diagonal of a square is the hypotenuse of an isosceles right triangle. If the sides of that are s and the diagonal is d, the Pythagorean theorem tells us ...

  d² = s² + s²

  d² = 2s²

  d = (√2)(√s²) = s√2

This relation holds for any isosceles right triangle, not just for the diagonal of this square. It is useful to remember.

Answer:

Step-by-step explanation:

y= 7.2

Iri=21.1

Answer:

that should be correct:)

Step-by-step explanation:

y= 7.2

Iri=21.1

Answer: [tex]107^{\circ}[/tex]

Step-by-step explanation:

[tex]m\angle DOC=\frac{170+44}{2}=\boxed{107^{\circ}}[/tex]

9514 1404 393

Answer:

  10. 28°

  11. 65°

Step-by-step explanation:

10. The two angles are complementary, so the unknown angle is ...

  x = 90° -62° = 28°

__

11. The three angles total 180°, so the unknown angle is ...

  ? = 180° -55° -60° = 65°

Step-by-step explanation:

5k×8×20

_______ =800

100

Answer:

≈ 23305

Step-by-step explanation:

The amount A is calculated as

A = P [tex](1+r)^{t}[/tex]

P is the principal

r is the interest rate

t is the time in years

A = 5000 [tex](1+0.08)^{20}[/tex]

   = 5000 [tex](1.08)^{20}[/tex]

   ≈ 23305 ( to the nearest whole number )

Answer:

28 fish is the correct answer

Step-by-step explanation:.

The number of fish in the fish tank will be 28.

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width, and height of the Cuboid.

The density of the fish is defined as the number of fish per unit volume of the tank.

Given that volume of a fish tank is 70 cubic feet and the density is 0.4 fish over feet cubed.

The number of fish is calculated as below:-

Number = Volume of tank x Density of fish

Number = 70 x 0.4

Number = 28 fish

Therefore, the number of fish in the fish tank will be 28.

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Answer:

its the first one. Times the bigger numbers and add the indices. so it 16^7

Answer: A 16(7)

Step-by-step explanation:

First you multiply your base numbers,[4x4] to get 16 then you add your exponents [2+5] to get 7 and remember you can only add exponents not multiply them.

Answer:

-5/3

Step-by-step explanation:

-9/5 + -2/3 + 1/5 + 3/5

= (-9/5 + 1/5 +3/5) - 2/3 (combine the like terms)

= -1 - 2/3

= -5/3

Answer:

No 2 answer is 6\8 i.e 3\4 for the one eaten and 2\8 i.e 1\4 for the left over

Answer:

[tex]P(n>55)=0.1357[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size n=100

Sample space n'=36

Generally the equation for the mean number of times odds appears is mathematically given by

[tex]\=x_o=hp[/tex]

[tex]\=x_o=100*0.5[/tex]

[tex]\=x_o=50[/tex]

Generally the equation for standard deviation is mathematically given by

[tex]\sigma=(hp(1-p))^{1/2}\\\sigma=(50(0.5))^{1/2}[/tex]

[tex]\sigma=5[/tex]

Therefore probability to make wrong decision P(n>55)

[tex]P(n>55)=1-P(z<50.5/5)\\P(n>55)=1-P(z<1.1)\\P(n>55)=1-0.86[/tex]

[tex]P(n>55)=0.1357[/tex]

An approximation for the probability that you will make the wrong decision is 0.1587.

S=Number of time that the result was odd

n=100

p=0.5

Hence:

E[S]=100×0.5

E[S]=50

Standard deviation=√100×0.5×0.5

Standard deviation√25

Standard deviation=5

Using normal approximation to the binomial

P(S≥55)=P(S-50/5 ≥ 55-50/5)

P(S≥55)=1-P(z ≤ 1)

P(S≥55)=1-0.8413

P(S≥55)= 0.1587

Inconclusion  an approximation for the probability that you will make the wrong decision is 0.1587.

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Answer:

105m^3

Step-by-step explanation:

The volume of a rectangular prism is calculated by multiplying l*w*h. Basically, just multiply all the numbers together.

So that would be 3*5*7

Answer:

220/221

Step-by-step explanation:

cos math

Answer:

48 is the answer

Step-by-step explanation:

The longest side of the similar triangle whose perimeter is 75 is 33 units.

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

The sides of the given triangle are,

6 units, 8 units and 11 units.

Also given that,

There is a similar triangle whose perimeter is 75 units.

To find the longest side of the similar triangle,

Let the sides of the similar triangle are 6x, 8x and 11x

The perimeter of triangle = 75

Implies that,

6x + 8x + 11x = 75

25 x = 75

x = 3

Since, the longest side of the similar triangle = 11 x

Substitute x = 3 here,

Longest side = 11 × 3 = 33 units

The required side of similar triangle is 33 units.

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Answer:

Step-by-step explanation:

y=108/2=54°

Answer:

Y = 54

Step-by-step explanation:

Answer:

0.63 should be your answer

Answer;

0.6333333

Step-by-step explanation:

I think it's helps you

Answer:

D. Jackie rolls a number that is less than 3.

Step-by-step explanation:

Every time Meiling rolls a number greater than a four, she will get a point. This gives her two numbers that she can get a point off of, 5 and 6. So If Jackie were to roll a number less than a three, Jackie would also get two numbers that she can get a point off of, 1 and 2. So the answer "Jackie rolls a number that is less than 3" will give Jackie an equally likely chance for a point.

Complete question :

Seven cards are drawn from an ordinary deck. In how mnat ways is it possible to draw (a) only 5s (b)only 8s, 9s, and 10s, (c) no 8s, 9s, and 10s (d) exactly 2 jacks or kings, (e) 5 spades and 2 hearts?

Answer:

0; 792 ; 100396 ; 30408224 ; 18643560 ;

Step-by-step explanation:

Number of cards in a deck = 52

Number of cards to be drawn = 7

Using combination:

nCr = n! ÷ (n-r)!r!

A.)

Number of 5's in a deck = 4

4C7 = 0

(B.)

only 8s, 9s, and 10s,

Number of 8, 9 and 10's = 4 *3 = 12

12C7 = 12! ÷ 5!7! = 792

(C)

no 8s, 9s, and 10s ;

Number of cards to select from = 52 - (3(4)) = 40C7 = 18643560

(D)

exactly 2 jacks or kings,

Number of jack or king in deck = 8 ; other 5 could be any of the rest : (52 - 8) = 44

8C2 * 44C5 = 28 * 1086008 = 30408224

(e) 5 spades and 2 hearts?

Number of spades = 13

Number of hearts = 13

13C5 * 13C2

1287 * 78 = 100396

height =50

base=40

area of triangle =1/2b*h

1/2*40*50

1000