PS
The diagram shows the dimensions of a coal bunker.
The volume of the bunker is 0.432 m^3
Calculate the length, a, shown on the diagram. Give your answer in centimetres.

Answer:

A

Step-by-step explanation:

the answer is

x+15=28

x=28-15

x= 13

Answer:

A

Step-by-step explanation:

x+15=28

move 15 to the other side

and change the + to -

x=28-15

x=13

Answer:

55

32

-3

-8

-19

-32

Step-by-step explanation:

Answer:

hdhdhdhrheheheheheehhdhdududueueehheb

Answer:

[tex]6x+3+4=\frac{1}{2}(9+10x)\\6x+7=\frac{9}{2}+5x\\x=-\frac{5}{2}[/tex]

Step-by-step explanation:

sana p mkatulong............

Answer:

Approximately 68% of their scores will fall within one standard deviation of the mean.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

By the Empirical Rule, approximately 68% of their scores will fall within one standard deviation of the mean.

Answer:

C? Sorry if im wrong

Step-by-step explanation:

Answer:

B (10,40)

E (6,24)

Step-by-step explanation:

(2,8) is equal to (10,40) and (6,24)

Answer:

ss

Step-by-step explanation:

sss

Answer:

1/2

Step-by-step explanation:

No matter how many times you get tails or heads it will always be 50/50

Answer:

a) 7.78 months

b) 1116

Step-by-step explanation:

Given -

[tex]\frac{dP}{dt} = 0.4p-450[/tex]

Integrating the above equation with respect to time, we get -

[tex]\int\ \frac{dP}{0.4p-450} = \int\ dt\\[/tex]

let us define new variable x

[tex]x = 0.4p - 450 \\dx = 0.4 dy[/tex]

substituting these values in above integral equation, we get -

[tex]\frac{1}{0.4} \int\ \frac{dx}{x} = \int\ dt\\ln x = 0.4 t + C\\x = ce^{0.4t}[/tex]

[tex]P (t) = \frac{C}{0.4} e^{0.4t} +1125\\[/tex]

at t = 0, P (0) = 1075, using this condition, we get -

[tex]\frac{c}{0.4} = -50\\P(t) = 50 e^{0.4t} +1125 \\t = 7.78\\P(0) = 1125 - \frac{1125}{e^{4.8}} = 1116[/tex]

Answer:

1 and 1/20

Step-by-step explanation:

LCM of 5 and 4 = 20

4/5 = 16/20

1/4 = 5/20

Answer: Global maximum: max{-(x - 1)^2 + 4} = 4 at x = 1

Step-by-step explanation:

185.193 Cm, 5.7x5.7x5.7 is the volume

The volume of the Rubik's cube is 183.51 cubic centimeters.

To find the volume of a Rubik's cube, we can use the formula V = s ³, where V represents the volume and s represents the length of each edge.

In this case, the length of each edge is given as 5.7 centimeters.

Substituting this value into the formula, we have:

V = (5.7 cm) ³

Calculating the volume:

V = 5.7 cm * 5.7 cm * 5.7 cm

V = 32.49 * 5.7

V = 183.51 cm ³

Therefore, the volume of the Rubik's cube is 183.51 cubic centimeters.

To know more about volume click here :

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Answer:

The z-score for an ACT score of 26 is 0.17.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.

This means that [tex]\mu = 25, \sigma = 5.9[/tex]

Find the z-score for an ACT score of 26.

This is Z when X = 26. So

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

[tex]Z = \frac{26 - 25}{5.9}[/tex]

[tex]Z = 0.17[/tex]

The z-score for an ACT score of 26 is 0.17.

Answer:

a) P(  [tex]Y^{C}[/tex] | X ) = 0.180

b) P(Y | [tex]X^{C}[/tex]  ) = 0.998

Step-by-step explanation:

Let

P(X) - Probability that he acts hungry

P(Y) - Probability that he had ate dinner,

Given,

P(X | Y) = 0.5

P(X | [tex]Y^{C}[/tex]  ) = 0.99

P(Y) = 0.9

a.)

P(  [tex]Y^{C}[/tex] | X ) =  [tex]\frac{P( X | Y^{C} ). P(Y^{C} ) }{P( X | Y^{C} ). P(Y^{C} ) + P( X | Y ) . P (Y) }[/tex]

                  = [tex]\frac{(0.99)(0.1)}{(0.99)(0.1) + (0.5)(0.9)} = \frac{0.099}{0.549}[/tex] = 0.180

⇒P(  [tex]Y^{C}[/tex] | X ) = 0.180

b.)

P(Y | [tex]X^{C}[/tex]  ) = [tex]\frac{(1 - P(X | Y ) ) . P(Y)}{P( X^{C} ) } = \frac{(1 - P(X | Y ) ) . P(Y)}{ 1 - P( X ) }[/tex]

                 = [tex]\frac{(1 - 0.5)(0.9)}{1 - [(0.99)(0.1) + (0.5)(0.9) ]} = \frac{(0.5)(0.9)}{1 - [(0.099) + (0.45) ]} = \frac{0.45}{1 - [0.540]} = \frac{0.45}{0.451}[/tex] = 0.998

⇒P(Y | [tex]X^{C}[/tex]  ) = 0.998

Answer:

its press play

Step-by-step explanation:

Press Play Step-by-step explanation:

1 year 91 dollars or three month 13 dollars so press play would end up at 52 a year and all ears ends up at 91 a year

Answer:

B. 7ab²c

Step-by-step explanation:

The GCF of 21a²b^4c and 49ab²c³ is

7ab²c

Answer:

The correct answer is b.

Answer:

C

Step-by-step explanation:

Answer:

28.8 and 180

Step-by-step explanation:

you just times B by 2/5 to get C and divide it by 2/5 to get A

C = (72)(2/5) = 28.8 km³

A = (72)/(2/5) = 180 km³

We know the answers make sense because A shrinks to get B and B shrinks to get C, and our answers match that.

Answer:

The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.0405

Step-by-step explanation:

Central Limit Theorem:

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

18 percent are longer than 6.5 feet.

This means that [tex]p = 0.18[/tex]

A random sample of 90 sea turtles

This means that [tex]n = 90[/tex]

What is the standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.18*0.82}{90}} = 0.0405[/tex]

The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.0405

In this exercise we have to use the knowledge of proportionality to calculate the samples, so we have to:

The standard deviation of the sampling distribution of the sample proportion of sea turtles longer than 6.5 feet for samples of size 90 is of 0.00164

Using the knowledge about central limit theorem, we will have what the proportion will be;

For a balance between parts of whole p fashionable a sample of extent or bulk of some dimension n, the sampling allocation of the sample relative amount will exist nearly usual with mean and predictable difference, so we have that:

[tex]S=\sqrt{\frac{p(1-p)}{n} }\\p=0.18\\n=90\\S=\sqrt{\frac{0.18(1-0.18)}{90} }=0.00164[/tex]

See more about proportion at brainly.com/question/2548537

Answer:

x=-7

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

Simplifying

-1(8 + -3x) = 13

(8 * -1 + -3x * -1) = 13

(-8 + 3x) = 13

Solving

-8 + 3x = 13

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.

-8 + 8 + 3x = 13 + 8

Combine like terms: -8 + 8 = 0

0 + 3x = 13 + 8

3x = 13 + 8

Combine like terms: 13 + 8 = 21

3x = 21

Divide each side by '3'.

x = 7

Simplifying

x = 7

Answer:

9/25 or .36

Step-by-step explanation:

Answer:

Jan has 17 credits and Terry has 34 credits.

Step-by-step explanation:

Set up an equation:

Assume Jan’s credits is x

Terry’s credits is 2x

They add up to 51 hours.

Equation: 2x+x=51

x= 17

Jan: 17 credits

Terry: 34 credits.

Answer: its A

Step-by-step explanation:

Answer:

5n units

Step-by-step explanation:

C=2πr =2·π·2.5

Answer:

r = 97.6

Step-by-step explanation:

3 - r/8 = -9.2

24 - r = - 73.6

- r = - 73.6 - 24

- r = - 97.6

r = 97.6

Answer:

J

Step-by-step explanation:

Acute angles are less than 90 degrees.

Obtuse angles are more than 90 degrees.

So J is the only polygon that has angles less than 90 degrees and angles more than 90 degrees.

Answer:

3x + 2y = -4

Step-by-step explanation:

x intercept of the line occurs at y = 0

Given the equation 3x+2y = 6

3x+2(0) = 6

3x  = 6

x = 2

The x intercept is at (2, 0)

Adding -2 to each axis will give (2-2, 0-2) = (0, -2)

y intercept of the line occurs at x = 0

Given the equation 3x+2y = 6

3(0)+2y = 6

2y  = 6

y =3

The x intercept is at (0, 3)

Adding -2 to each axis will give (0-2, 3-2) = (-2, 1)

The new coordinates are (0, -2 and (-2, 1)

Using the point slope form of the equation y - y0 = m(x-x0)

slope m = y2-y1/x2-x1

m = 1-(-2)/-2-0

m = 1+2/-2

m = -3/2

Using m = -3/2 and (0, -2)

y - (-2) = -3/2(x-0)

y+2 = -3/2 x

2(y+2) = -3x

2y+4 = -3x

-3x-2y = 4

3x + 2y = -4

Hence the required equation is 3x + 2y = -4

Answer:

h = 7.333

Step-by-step explanation:

Answer: 7

Step-by-step explanation: I'm not sure about the actual mathematical explanation but I just took the quiz and I'm in the review right now :D