Liberty middle school has 600 students in honors class three out of eight students walk to school how many students are at the school can be expected to walk to school

Answer:

Step-by-step explanation:

Given Equation,

5 × 2w

Given Value,

w = 3

Then,

5 × 2(3)

= 5 × 6

= 30 (Ans)

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

Answer:

x=26.44

rounded to the nearest hundredth.

Step-by-step explanation:

Soh Cah Toa

We need opposite for x and adjacent for 44

Length × Tan (Angle)

44 × Tan (31)=26.43786724

Answer:

1a) (i) 0.0537

(ii) 0.0250

(iii) 0.6188

1b) The probability that neither Kofi nor Mensah solves the problem correctly = (9/20) = 0.45

Step-by-step explanation:

The complete Question is presented in the attached image to this answer.

1a) This is a normal distribution problem with

Mean lifetime of bulbs = μ = 210 hours

Standard deviation = σ = 56 hours

(i) at least 300 hours, P(x ≥ 300)

We first standardize 300 hours

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (300 - 210)/56 = 1.61

To determine the required probability

P(x ≥ 300) = P(z ≥ 1.61)

We'll use data from the normal probability table for these probabilities

P(x ≥ 300) = P(z ≥ 1.61) = 1 - P(z < 1.61)

= 1 - 0.94630 = 0.0537

(ii) at most 100 hours, P(x ≤ 100)

We first standardize 100 hours

z = (x - μ)/σ = (100 - 210)/56 = -1.96

To determine the required probability

P(x ≤ 100) = P(z ≤ -1.96)

We'll use data from the normal probability table for these probabilities

P(x ≤ 100) = P(z ≤ -1.96) = 0.0250

(iii) between 150 and 250 hours.

P(150 < x < 250)

We first standardize 150 and 250 hours

For 150 hours

z = (x - μ)/σ = (150 - 210)/56 = -1.07

For 250 hours

z = (x - μ)/σ = (250 - 210)/56 = 0.71

To determined the required probability

P(150 < x < 250) = P(-1.07 < z < 0.71)

We'll use data from the normal probability table for these probabilities

P(150 < x < 250) = P(-1.07 < z < 0.71)

= P(z < 0.71) - P(z < -1.07)

= 0.76115 - 0.14231

= 0.61884 = 0.6188 to 4 d.p.

1b) Probability that Kofi solves the problem correctly = P(K) = (1/4)

Probability that Mensah solves the problem correctly = P(M) = (2/5)

Probability that Kofi does NOT solve the problem correctly = P(K') = 1 - P(K) = 1 - (1/4) = (3/4)

Probability that Mensah does NOT solve the problem correctly = P(M') = 1 - P(M) = 1 - (2/5) = (3/5)

To find the probability that neither of them solves the problem correctly, we first make the logical assumption that the probabilities of either of them solving the problem are independent of each other.

Hence, the probability that neither of them solves the problem correctly = P(K' n M')

P(K' n M') = P(K') × P(M') = (3/4) × (3/5) = (9/20) = 0.45

Hope this Helps!!!

Answer:

x = 15

K = 88

J = 46

L = 46

Step-by-step explanation:

since KJ = KL, triangle is an isosceles triangle. So J = L

3x + 1 = 5x - 29

5x - 3x = 29 + 1

2x = 30

x = 30/2

x = 15

J = 3x + 1 = 3(15) + 1 = 45 + 1 = 46

L = 5x - 29 = 5(15) - 29 = 75 - 29 = 46

K = 180 - (J + L) = 180 - (46 + 46) = 88

Answer:

x = - 1 , x = 1

Step-by-step explanation:

5 - \(\sqrt[3]{x^2-9}\) = 7 ( subtract 5 from both sides )

- \(\sqrt[3]{x^2-9}\) = 2 ( multiply both sides by - 1 )

\(\sqrt[3]{x^2-9}\) = - 2 ( cube both sides to clear the radical )

x² - 9 = (- 2)³ = - 8 ( add 9 to both sides )

x² = 1 ( take square root of both sides )

x = ± \(\sqrt{1}\) = ± 1

that is solutions are x = - 1 , x = 1

Hello!

For this you would just need to multiple straight across. Here's how you would set it up:

3/4 ·1/8

Then you would multiple 3 x 1 = 3

And 4 x 8 =32

Your answer should be 3/32, it cannot be simplified so that is the final answer :).

The area of the square is given as 100 square unit

You should be aware that the square has all its sides equal

The perpendicular from opposite vertices represent distance

The given vertices are

(2,2) and (10,8)

Using the formula for distance between two points

d=√(10-2)²+(8-2)²

d=√8²+6²

d = √64+36

d=√100

This implies that d=10

The area of a square is given as s²

Area = 10²

Atrea = 100 square units

In conclusion, the area of the square is 100 square units

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Translated question:

The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square

Answer:

its b

Step-by-step explanation:

The requried dimensions of the rectangle are 10 by 4. Option B is correct.

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

Here,
To solve the problem, we can use the formula for the area of a rectangle, which is:

area = length x width

We also know that the length is 6 units greater than the width, which we can express as:

length = width + 6

We can substitute this expression for length into the formula for area, giving us:

area = (width + 6) x width

area = width² + 6width

We are given that the area is 40 square units, so we can set up the equation:

40 = width² + 6width

We can rearrange this equation into the standard quadratic form:

width² + 6width - 40 = 0

We can then use the quadratic formula to solve for the width:

width = (-b ± √(b² - 4ac)) / 2a

Plugging in the values of a, b, and c from the quadratic equation above, we get:

width = (-6 ± √(6² - 4(1)(-40))) / 2(1)

width = (-6 ± √(196)) / 2

width = (-6 ± 14) / 2

So we have two possible values for the width:

width = (-6 + 14) / 2 = 4

or

width = (-6 - 14) / 2 = -10

Since the width cannot be negative, we can reject the second solution. Therefore, the width of the rectangle is 5 units.

We can use the expression for the length in terms of the width to find the length:

length = width + 6 = 4 + 6 = 10

Therefore, the dimensions of the rectangle are 10 by 4.

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Answer:

I'm pretty sure it's 91

Step-by-step explanation:

8th square number is 64 and the 3rd cube number is 27 so add them together and you get 91

The two angles are related in that they are supplementary angles

Supplementary angles would add tuo to 180 degrees according to the angle Theorem.

Adding the two given angles :

These angles are supplementary

The angles aren't vertical in that , vertical angles should have the same vertex. Complementary angles on the other hand add to 90 degrees. While the angles doesn't share the same side, hence, they aren't adjacent.

Hence, the angles are related as they are supplementary angles .

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Answer:

63*

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

solution

For this case the best way to solve this problem

a +(-a)=0

Is using the :

A. Additive inverse property

9514 1404 393

Answer:

Step-by-step explanation:

As with all cost problems, the total cost is the sum of products of number of items and item unit cost. Here, the items are acres of crops, and their unit costs are the respective cost per acre.

  cost: 50x +70y ≤ 7400

Labor hours are added in similar fashion. The unit costs for labor hours are hours per acre for the different crops

  labor: 20x +25y ≤ 3500

The profit function follows the same pattern:

  P = 160x +220y

Answer:

a. Domain : All Real Numbers

b. Range: y≥ -1

c. The x-intercepts are (0,0) and (-4,0)

d. The y-intercept is (0,0).

e. f(2)=3

   f(-2)=-1

Step-by-step explanation:

If this has helped you please mark as brainliest

Answer:

A. -25

Step-by-step explanation:

3x + 4 (-x - 5)

3x + 4 (-10)

15+4(-10)

15 + (-40)= -25

Answer:

A. The three outcomes are equally likely

Step-by-step explanation:

Given

\((i)\ 6, 5, 4, 3, 2, 1, 6, 5, 4, 3, 2, 1\)

\((ii)\ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1\)

\((iii)\ 3, 6, 2, 1, 5, 4, 2, 5, 1, 6, 4, 3\)

Required

Which of the options is true

The sample space of a fair die is:

\(S = \{1,2,3,4,5,6\}\)

And the probability of each (in a single roll) is:

\(P(x) = \frac{1}{6}\)

In 12 rolls, the probability would be:

\(P(x) = (\frac{1}{6})^{12}\)

What this means that the elements of the sample space have equal probability of showing up.

So, events (i), (ii) and (iii) are equally likely

Answer:

He wrote commutative instead of associative in step 2.

Step-by-step explanation:

There are 12 possible οutcοmes.

A tree  diagram will visualise all 12 choices at one place.

The first choice is Dοοr 1, Curtain 1 & second choice is  Dοοr 1, Curtain 2.

A tree diagram is a visual tοοl that can help tο οrganize all the pοssible οutcοmes οf a randοm event, such as chοοsing a dοοr and a curtain behind the dοοr.

Here,

3 doors and 4 curtains behind them

i.e. \(^3C_1 \times ^4C_1\)

= 3 × 4

= 12

Hence there are 12 possible οutcοmes

The tree diagram wοuld have three branches, οne fοr each dοοr, and each branch wοuld have fοur sub-branches, οne fοr each curtain behind the dοοr. The end pοints οf the branches wοuld represent all the pοssible οutcοmes οf the game.

The first chοice is tο chοοse οne οf the three dοοrs.

The secοnd chοice is tο chοοse οne οf the fοur curtains behind the chοsen dοοr.

Pοssible οutcοmes οf the tree diagram cοuld be as fοllοws:

Dοοr 1, Curtain 1

Dοοr 1, Curtain 2

Dοοr 1, Curtain 3

Dοοr 1, Curtain 4

Dοοr 2, Curtain 1

Dοοr 2, Curtain 2

Dοοr 2, Curtain 3

Dοοr 2, Curtain 4

Dοοr 3, Curtain 1

Dοοr 3, Curtain 2

Dοοr 3, Curtain 3

Dοοr 3, Curtain 4

Each οf these οutcοmes is equally likely, assuming that the player has nο infοrmatiοn abοut what is behind each curtain.

Tree diagram is given below in attachment

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Answer:

$100

Step-by-step explanation:

sum the parts of the ratio, 2 + 5 = 7 parts , then

$350 ÷ 7 = $50 ← value of 1 part of the ratio , then

2 parts = 2 × $50 = $100 ← smaller share

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

Step-by-step explanation:

Let the number of elves be x and reindeer be y, then we have equations:

Simplify the second equation and subtract the first one:

Then find x:

10 elves and 5 reindeer at the meeting

Manual paid with a $10 bill and he got $2.46 as a change.

Subtraction is an arithmetic operation that represents the operation of removing objects from a collection. Subtraction is signified by the minus sign, −.

Money spent on sandwich=$4.56 and money spent on drink=$2.98.

We need to find out how much did he spend in all.

That is, the total money spent=4.56+2.98=$7.54

He paid with a $10 bill, he gets change as 10-7.54=$2.46

Hence, he paid with a $10 bill and he got $2.46 as a change.

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Answer:

Step-by-step explanation:

A quart is 1/4 gallon, so the total of liquid ingredients for the punch is ...

  (1 2/4 gal) +(3/4 gal) +(1 3/4 gal) = 2 8/4 gal = 4 gal

Samantha made 4 gallons of punch.

__

1 cup is 1/16 gallon, so 2 cups each for 25 students requires ...

  (1/16 gal)(2)(25) = 50/16 gal = 3 1/8 gal

Samantha made more punch than that, so there will be enough for 2 1-cup servings for each student.