Three classes in grade 7 took a geography test last week. There are x students in class a with a mean of 6. There are 25 students in class b with a mean of 8. There are 20 students in class c with a mean of y. The mean score of class a and b combined is 7.25. The mean score if all three classes is 6.5

The ladder will move down with a speed of 6.86 feet/second

Given,

The length of the ladder = 25 feet

The base of the ladder pulled away from the wall at a rate = 2 feet/second

The distance from base of the ladder to the wall = 7 feet

We have to find the speed of the top of the ladder moving down;

Here,

Speed = distance/time

2 = 7 / t

t = 7/2 = 3.5 seconds

We can find the length of the wall using Pythagorean theorem;

L² = 25² - 7²

L² = 625 - 49

L² = 576

L = √576

L = 24

The ladder will move down the length at the same time.

Rate = 24/3.5

Rate = 6.86 feet/second

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The question is incomplete. Completed question is given below;

A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. How fast is the top of the ladder moving down the wall when its base is 7 feet from the wall?

Answer:

on    e d g e n u i t y 2020, the answer is Set B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

StartFraction 6 Over 10 EndFraction

Step-by-step explanation:

Give the following ratios :

2 / 5 = 6 /10 = 8 / 20 = 12 / 30

Which ratio is different from the other three?

Ratio 1 = 2 / 5

Ratio 2 = 6 / 10

Ratio 3 = 8 / 20

Ratio 4 = 12 / 30

Reducing all the ratios to their lowest term:

Ratio 1 = 2 / 5

Ratio 2 = 3 / 5

Ratio 3 = 2 / 5

Ratio 4 = 2 / 5

Hence, the ratio which is different from the other three is StartFraction 6 Over 10 End Fraction (6 / 10)

Answer:

StartFraction 6 Over 10 EndFraction

Step-by-step explanation:

Thus, the diameter of the circle for the given length of chord Ab is found as: 26 cm.

Any line segment that traverses a circle's centre and has both of its endpoints here on circle itself is said to have a diameter of that circle.

Given data:

Let the radius of the circle be 'r'

In right triangle OMB.

OB² = OM² + MB²

r² = (18 - r)² + 12²

Further simplifying;

r² = (18)² + (r)²  - 2*18*r + 12²

2*18*r = 324 + 144

r = 468 / 36

r = 13

Diameter = 2*13 = 26 cm

Thus, the diameter of the circle for the given length of chord Ab is found as: 26 cm.

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Answer:

Ok to make this easier for us we should switch these equations into y=mx+b so that it's easier for us to identify the slope and y-intercept:

to switch into y=mx+b form do this:

3x-y=5

-y=5-3x

y=-5+3x

y=3x+(-5)

2y-15x=8

2y=8+15x

y=4+7 1/2x

y=7 1/2x+4

THe slope of any line in y=mx+b form is m. Therefore in this equation:

y=3x+(-5)     3 is the slope

The y intercept of any line is the +b:

y=7 1/2x+4 -therefore 4 in this equation is our y intercept.

Now we can construct our equation in y=mx+b then into standard form (Ax+By=C)

since 3 is our slope and 4 is our y intercept the equatuon is :

y=3x+4

NOw all we need to do is move this into standard form:

y=3x+4

-3x+y=4

-3x+y=4 is your final answer

-hope this helped

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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The quadratic equation 4x² - 12x + 9 = 0 has one real solution.

To determine the number of solutions of the quadratic equation 4x² - 12x + 9 = 0.

The quadratic formula states that for an equation of the form ax² + bx + c = 0, the solutions are given by:

x = (-b ± √(b² - 4ac)) / (2a)

In this case, the coefficients are a = 4, b = -12, and c = 9. The discriminant is calculated as follows:

Discriminant (D) = b² - 4ac

Substituting the values, we have:

D = (-12)² - 4(4)(9)

D = 144 - 144

D = 0

The discriminant D is equal to 0.

When the discriminant is equal to 0, the quadratic equation has one real solution.

Therefore, the quadratic equation 4x² - 12x + 9 = 0 has one real solution.

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the decimal as mixed fraction can be written as

a) 8.465= 8 (93/200)

b) −0.68= −17 / 25

Algebra, decimals are one of the kinds of numbers, which has an entire number and the fractional component separated by using a decimal point. The dot gift between the whole wide variety and fractions component is known as the decimal factor. as an instance, 34.5 is a decimal wide variety.

Decimal is a time period that describes the base-10 number machine, in all likelihood the most normally used number gadget. The decimal wide variety gadget includes ten single-digit numbers: zero, 1, 2, 3, 4, five, 6, 7, eight and 9. The quantity after 9 is 10. The number after 19 is 20 and so on.

The primary digit after the decimal represents the tenths area. the subsequent digit after the decimal represents the hundredths area. The last digits maintain to fill in the vicinity values till there are not any digits left.

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The probability that both will be married before the age of 18 is 0.0036. The probability that both will be married by the age of 25 is 0.25. Finally, the probability that both will be married by the age of 30 is 0.5476.

According to the brief report by NCHS, approximately 6% of women in the United States married for the first time before their 18th birthday, and 50% of women married by their 25th birthday. 74% of women married by their 30th birthday.The probability of a family with two daughters marrying at different ages is asked in the question. The probability that both daughters will be married by the ages of 18, 25, and 30 will be determined

The question requires finding the probability that both daughters of a family will be married by the ages of 18, 25, and 30 respectively. Since each daughter's wedding is a separate event, the individual probability of a daughter marrying at a given age will be determined separately and then multiplied together to get the probability of both daughters being married at the given age. So, let's find the probabilities of each daughter marrying at a given age:

Probability of one daughter getting married by 18 years:

As per the brief report, 6% of women in the United States married before the age of 18.

Therefore, the probability of one daughter getting married before the age of 18 is 0.06

Probability of one daughter getting married by 25 years:

As per the brief report, 50% of women in the United States get married by the age of 25. Therefore, the probability of one daughter getting married by 25 years is 0.5.

Probability of one daughter getting married by 30 years:

As per the brief report, 74% of women in the United States get married by the age of 30. Therefore, the probability of one daughter getting married by 30 years is 0.74.

The probability of both daughters getting married at the same age is the product of each daughter's probability of getting married at that age.

The probability that both daughters will get married before the age of 18 is:

P(both daughters married at 18 years) = P(daughter1 married at 18) × P(daughter2 married at 18)= 0.06 × 0.06= 0.0036

The probability that both daughters will get married by the age of 25 is:

P(both daughters married at 25 years) = P(daughter1 married at 25) × P(daughter2 married at 25)= 0.5 × 0.5= 0.25

The probability that both daughters will get married by the age of 30 is:

P(both daughters married at 30 years) = P(daughter1 married at 30) × P(daughter2 married at 30)= 0.74 × 0.74= 0.5476

The probability that in a family with two daughters, both will be married before the age of 18 is 0.0036. The probability that both daughters will be married by the age of 25 is 0.25. Finally, the probability that both daughters will be married by the age of 30 is 0.5476.

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$5 for 1 shirt

y = cost

x = number be shirts

10y = 2x

5y = x

Answer:

Step-by-step explanation:

The given points (6,4), (12,6), and (16,-6) do not form the vertices of a right triangle.

To determine if the given points form a right triangle, we can calculate the distances between the points and check if the squares of the distances satisfy the Pythagorean theorem. Let's calculate the distances between the points:

Distance between (6,4) and (12,6):

d₁ = √((12-6)² + (6-4)²) = √(36 + 4) = √40 ≈ 6.32

Distance between (12,6) and (16,-6):

d₂ = √((16-12)² + (-6-6)²) = √(16 + 144) = √160 ≈ 12.65

Distance between (16,-6) and (6,4):

d₃ = √((6-16)² + (4-(-6))²) = √((-10)² + (4+6)²) = √(100 + 100) = √200 ≈ 14.14

According to the Pythagorean theorem, if the points form a right triangle, then one of the distances squared should be equal to the sum of the squares of the other two distances. However, in this case, d₁² + d₂² ≠ d₃², d₁² + d₃² ≠ d₂², and d₂² + d₃² ≠ d₁². Therefore, the given points (6,4), (12,6), and (16,-6) do not form the vertices of a right triangle.

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Answer:

\( \frac{y \sqrt{33x} }{3x} \)

x=5 is the required equation of straight line

The steepness of a line is determined by its slope. The slope is m in the equation for a line that is typically used, y = mx + b. The term "rise over run" is also frequently used to describe it and describes how much the y-value changes as the x-value does.

According to the given value;

slope of line is Y₂-Y₁/X₂-X₁

hence slope for given line will be

3-(-2)/5-5 =5/0 = ∞

slope is infinity means straight line is vertical in nature and vertical lines are of the form x=a where a is some constant

now we can observe that 5 is constant in both the given points so x=5 is the required line which passes through (-2,-6),(-2,5)

Hence,x=5 is the required equation of straight line .

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Answer:

x = 12 6/7º

6x = 77 1/7º

Step-by-step explanation:

complementary angles total 90º

x + 6x = 90

7x = 90

Divide both sides by 7

x = 12 6/7º

6x = 77 1/7º

The HYPGEOM.DIST function in Microsoft Excel can be used to compute cumulative hypergeometric probabilities. A hypergeometric probability refers to the probability of selecting a specific number of items from a population without replacement. The HYPGEOM.DIST function returns the probability that, given a sample size of items, a specified number of successes will occur.

The HYPGEOM.DIST function takes four parameters: the number of successes in the population, the population size, the sample size, and the number of successes in the sample. For example, given a population of 50 items and a sample size of 10 items, the HYPGEOM.DIST function will return the probability of drawing 5 successes from the population.
The cumulative hypergeometric probability is the probability of drawing a certain number of successes or fewer from the population. The HYPGEOM.DIST function can be used to compute this probability as well. For example, if the population size is 50 and the sample size is 10, the HYPGEOM.DIST function can be used to find the probability of drawing 0, 1, 2, 3, 4, or 5 successes from the population.

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Answer:

Step-by-step explanation:

The easiest and most proper way to approach this task is to combine like terms inside parentheses:  (24x + 7 – 12x) => (12x + 7).

Then (1/4)(24x + 7 – 12x) = (1/4)(12x + 7).  This is an acceptable answer.  There is the option of carrying out the multiplication, which results in

3x + 7/4, which is another acceptable answer.

Answer:

Jackson spent $59.48 altogether

Step-by-step explanation:

15.98+19= 34.98

34.98+24.50= 59.48

Answer:

61.1 milliliters of acid

Step-by-step explanation:

You find the 18.4 percentage of 382

Answer:

a) 13

b) 1/3

c) -2

d) 1

Step-by-step explanation:

This is quite simple if you look at it from a different perspective. Imagine that when it says "f(2)" That you are plugging the number 2 in for every x on the right side of the equation:

For example:

f(x) = 3x + 7

f(2) = 3(2) + 7

f(2) = 6 + 7

f(2) = 13

________

f(-3) = 3x + 7

f(-3) = 3(-3) + 7

f(-3) = -9 + 7

f(-3) = 7 - 9 (This is just for those that hate negative values. You can rearrange the values as long as their sign is the same when you do move them. Ex: -14 + 6 - 4 + 9 == 9 + 6 - 14 - 4. I hope that makes sense.

f(-3) = -2

The other way is quite simple as well, if you look at it from a different perspective. Imagine that when it says "f(x) = 8" that you are changing the f(x) to the number 8:

For example:

f(x) = 8

f(x) = 3x + 7

8 = 3x + 7

8 - 7 = 3x

1 = 3x

x = 1/3

f(x)= 10

f(x) = 3x + 7

10 = 3x + 7

10 - 7 = 3x

3 = 3x

3/3 = x

1 = x

I hope this helps!

Answer:

1710

Step-by-step explanation:

GPA = 3,1 +- 0,6

0,6 = 2*STDEV

As it is a normal distribution, the interval (Mean +- 2*STDEV) includes 95% of the students.

1800 * 0,95 = 1710

Answer:

which topic in math

Step-by-step explanation:

what grade are you in? hope it's not money

What subject is it????

The equation in slope-intercept form for the line that is perpendicular to the line y = -3x-8 that passes through (-3,1) is y = x/3+2.

According to the question,

We have the following information:

The line is y = -3x-8

Points are (-3,1).

Now, we know that the slope, denoted by m, in this equation is -3.

Now, the slope for the perpendicular line is -1/m.

So, the slope is 1/3.

Now, the equation that can be found using the given information is:

(y-y') = m(x-x')

y' = 1 and x' = -3

(y-1) = 1/3 [x-(-3)]

(y-1) = 1/3(x+3)

(y-1) = x/3 +1

y = x/3 + 1 +1

y = x/3+2

Hence, the equation in slope-intercept form is y = x/3+2.

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Answer: 11.3 or 11 if you are to round to nearest whole number.

Step-by-step explanation:

Take the problem step by step.

You know she has the monthly fee and a fee for each gigabyte of data she stores in her house.

Take how much she paid and Subtract the monthly fee from it since it has been a month.

$60.95 - $14.95 = $36

Now take that answer and divide it by the cost of each gigabyte to see how many she used that month.

$65 / $5.75 = 11.30434743, which rounds to 11.3 or 11 if you are to round to nearest whole number.

The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

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Answer:

Step-by-step explanation:

\( \sqrt{49 {x}^{12} {y}^{8} } \)

\( \sqrt{ {7}^{2} } \sqrt{ {x}^{12} } \sqrt{ {y}^{8} } \)

\(7 ^{ \frac{1}{2} \times 2 } \times {x}^{ \frac{1}{2} \times 12 } \times {y}^{ \frac{1}{2} \times 8 } \)

\(7 {x}^{6} {y}^{4} \)