A town has accumulated 4 inches of snow and the snow depth is increasing by 3 inches every hour . a nearby town has accumulated 1 inch and the depth is increasing by 5 inches every hour. how many hours will the snowfall of the towns be equal if the snow continues at the given rates?

Answer:

40

Step-by-step explanation: If 10 : 15, then 4 times both of those should be an hour. This would be 40 : 60. That is why 40 is the correct answer.

Answer:

40

Step-by-step explanation:

1 hour = 60 minutes

60/15 = 4

10 × 4 = 40

so the answer is 40.

When the above is simplified using Boolean Algebra, we have F = x' + y' + w'xy.

We can simplify  the Boolean function F = xy'z' + xy'z+ w'xy +   w'x'y' + w'xy using the following Boolean Algebra rules.

Absorption - x + xy = x

Commutativity -  xy = yx

Associativity - x(yz) = (xy)z

Distributivity - x(y + z) = xy + xz

Using the above , we   have

F = xy'z' + xy'z+ w'xy + w'x'y' +   w'xy

= xy'(z + z') + w'xy(x + x')

= xy' +  w'xy

= (x' + y)(x' + y')  + w'xy

= x' + y' + w'xy

This means that the simplified expression is F = x' + y' + w'xy.

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Answer:

11. 8/30

Step-by-step explanation:

add all the marbles

you get 30 marbles

then the probability of yellow being taken out is 8

The probability of event A and event B is 6.

Given that, P(A)=6, P(B)=20 and P(A∩B)=6.

P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.

P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10

We know that, P(A and B)=P(A/B)×P(B)

= 3/10 × 20

= 3×2

= 6

Therefore, the probability of event A and event B is 6.

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Step-by-step explanation:

with 45 45 90 triangles which is what ACB is. the hypotenuse can be equalized with \(x\sqrt{2}\) and the two legs have a length of x

so the side length for AB and BC is 6.

and since Triangle BCD is a 30 60 90 triangle.

the side lengths that would be corresponding would have the ratio of

x, \(x\sqrt{3}\), and 2x

so if 2x=6 x=3

then the value for x or BD is 3

Hope that helps :)

(a) The sampling distribution of p-hat1 - p-hat2 can be approximated by a normal distribution. According to the Central Limit Theorem, when the sample sizes are large enough , the sampling distribution of the difference in sample proportions will be approximately normal, regardless of the shape of the population distributions. Therefore, the shape of the sampling distribution of p-hat1 - p-hat2 is approximately normal.

(b) The mean of the sampling distribution of p-hat1 - p-hat2 can be calculated as:

mean = p1 - p2

where p1 is the population proportion of orange M&M's milk chocolate candies and p2 is the population proportion of orange peanut M&M's.

mean = 0.20 - 0.23 = -0.03

The standard deviation of the sampling distribution of p-hat1 - p-hat2 can be calculated using the formula:

standard deviation = sqrt((p1(1 - p1) / n1) + (p2(1 - p2) / n2))

For M&M's milk chocolate candies:

p1 = 0.20 (proportion of orange M&M's milk chocolate candies)

n1 = 240 (sample size of M&M's milk chocolate candies)

For peanut M&M's:

p2 = 0.23 (proportion of orange peanut M&M's)

n2 = 240 (sample size of peanut M&M's)

standard deviation = sqrt((0.20(1 - 0.20) / 240) + (0.23(1 - 0.23) / 240))

(c) To find P(p-hat1 - p-hat2 > 0), we need to calculate the probability that the difference in sample proportions is greater than zero. This can be interpreted as the probability of observing a greater proportion of orange M&M's milk chocolate candies than orange peanut M&M's.

To calculate this probability, we need to standardize the sampling distribution using the mean and standard deviation calculated in part (b) and then find the area under the normal curve to the right of zero.

Let Z be the standard normal variable.

Z = (p-hat1 - p-hat2 - mean) / standard deviation

Z = (0 - (-0.03)) / standard deviation

Using the calculated mean and standard deviation, we can find the corresponding Z-score and then find the area to the right of zero using a standard normal table or calculator. This area represents P(p-hat1 - p-hat2 > 0), the probability of observing a greater proportion of orange M&M's milk chocolate candies than orange peanut M&M's.

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The required method typically employed is C) Experimental design.

The probability value is utilized as a measure of the merit of the parameter selection, and the parameter set with the highest likelihood is the best option given the available data.

Experimental design is typically employed when a researcher needs to estimate the likelihood of a certain outcome.

In an experimental design, the researcher manipulates one or more independent variables to determine the effect on a dependent variable, which is the outcome being studied.

The researcher can then use this information to make an estimate of the likelihood of the outcome under different conditions. This is the most commonly used method in the natural and social sciences to determine cause-and-effect relationships and make predictions about future outcomes.

Thus, Suitable option is C)Experimental design.

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Answer:

6 laps around the inner loop, 4 1/2 laps on the outer loop, im not entirely sure but this is my best guess.

Step-by-step explanation:

Answer:

A=h(b)b/2

Step-by-step explanation:

If he gets 25% of his sales, and he makes $175, that means $175 is it 25% of his sales.

Answer:

239y

Step-by-step explanation:

956/4  

Two figures are considered to be "similar figures" if they have the same shape, congruent corresponding angles (meaning the angles in the same places of each shape are the same) and equal scale factors.

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Yeah it is 264/1320 and I just divide both of them by smaller numbers multiple times until it can't be simplified anymore.

264/1320÷2=132/660

132/660÷2=66/330

66/330÷2=33/165

33/164÷11=3/15

3/15÷3=1/5

So the simplified version of 64/1320 is 1/5.

Hope this helps! :)

Answer:

45

Step-by-step explanation:

Answer:

D) 4

Step-by-step explanation:

32 can be split into

8 groups of 4

36 can be split into

9 groups of 4

Answer:

e value = 6

i value = 1

Step-by-step explanation:

The system of equation are;

e - i = 5...(1)

e + 3·i = 9...(2)

Making e the subject of equations (1) and substituting the value of e equation (2) gives;

From equation (1), e - i = 5, we have, e = 5 + i

Substituting the value of e in equation (2), e + 3·i = 9 gives;

e + 3·i = (5 + i) + 3·i = 5 + 4·i = 9

4·i = 9 - 5 = 4

i = 4/4 = 1

i = 1

From e = 5 + i, we have;

e = 5 + i = 5 + 1 = 6

e = 6

Therefore;

e value = 6

i value = 1

Answer:

88%

Step-by-step explanation:

60/500 people use a coupon

440/500 people do not use a coupon.

We can reduce the fraction: 440/500

220/250

then again

110/125

and /5 again.

22/25

then both sides by 4.

88/100

there, 88%

Answer:

60/500 × 100

00 to 00 cancel

60/5

5×12=60=12 /5×1=5=1

Therefore Answer the is 12

The value that when AND-ed with an even number always gives 0 is 0 itself.An odd number on being AND-ed with 0 gives 0. The statement "Any odd number on being AND-ed with 1 always gives 1" is true.

In general, AND operation is used to determine the bits that are present in both the operands. When performing an AND operation, the result is 1 if both the corresponding bits are 1, and the result is 0 otherwise.

The statement "Any even number on being AND-ed with this value always gives 0" implies that this value should be 0.For an odd number, its binary representation will always have a 1 in the least significant bit. When AND-ed with 1, the result will always be 1 because 1 AND 1 = 1.

Thus, the statement "Any odd number on being AND-ed with 1 always gives 1" is true.

In contrast, an even number will always have a 0 in the least significant bit. When AND-ed with 1, the result will always be 0 because 0 AND 1 = 0.

Therefore, the value that when AND-ed with an even number always gives 0 is 0 itself. An odd number on being AND-ed with 0 gives 0.

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To determine the polynomial function g(x),

(a) The system of equations: c = 4, 4a + 2b = -2, and 16a + 4b = -2.

(b) Augmented matrix: [0 0 1 | 4; 4 2 0 | -2; 16 4 0 | -2].

(c) Polynomial g(x) = -x^2 + 2x + 4 passing through (0,4), (2,2), and (4,2).

(a) To determine the polynomial function g(x) whose graph passes through the points (0, 4), (2, 2), and (4, 2), we can set up a system of linear equations.

Let's assume the polynomial function g(x) is of degree 2, so g(x) = ax^2 + bx + c.

Using the given points, we can substitute the x and y values to form the following equations:

Substituting x = 0 and y = 4:

a(0)^2 + b(0) + c = 4

c = 4

Substituting x = 2 and y = 2:

a(2)^2 + b(2) + c = 2

4a + 2b + 4 = 2

4a + 2b = -2

Substituting x = 4 and y = 2:

a(4)^2 + b(4) + c = 2

16a + 4b + 4 = 2

16a + 4b = -2

Now we have a system of linear equations:

c = 4

4a + 2b = -2

16a + 4b = -2

(b) To find the coefficients of g(x), we can write the system of equations in augmented matrix form:

[0 0 1 | 4]

[4 2 0 | -2]

[16 4 0 | -2]

(c) To find the polynomial g(x), we need to solve the augmented matrix. Applying row operations to put the matrix in the reduced row-echelon form:

[1 0 0 | -1]

[0 1 0 | 2]

[0 0 1 | 4]

Therefore, the polynomial g(x) is g(x) = -x^2 + 2x + 4.

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Answer:

79t + 64

Step-by-step explanation:

8(9t + 8) + 7t

8 × (9t + 8) + 7t = 72t + 64 + 7t

72t + 7t + 64 = 79t + 64

Answer:

20+15x

Step-by-step explanation:

because we start with 20 and every year 15 kids join we multiply 15 by x years with 20 kids so we get 20+15x

Answer:

|6x+12|= 12 has 2 solutions --> x = -4 or x = 0

|6x+12|= -1 has No solutions

∣6x+12∣=0 has 1 solution --> x = -2

Explanation:

|6x+12|= 12

- Break |6x+12| = 12 down into two equations -

                                ↓

                       6x + 12 = 12

                       6x + 12 = −12

          - Solve both equations to x -

                       6x + 12 = 12

                       6x + 12 = −12

                                ↓

                            6x = 0

                           6x = −24

                                ↓

                             x = 0

                             x = −4

|6x+12|= -1

The absolute value function is always positive or 0 so false.

∣6x+12∣=0

- Because its 0, we simply just solve the equation -

                              6x + 12 = 0

                                     ↓

                                6x = -12

                                     ↓

                                  x = -2

~That's All Folks~

-Siascon

The graph of the quadratic function y = 0.75x² is given by the image at the end of the answer.

The notation y = 0.75x² is already in vertex form, meaning that the function was vertically compressed by a factor of 3/4 from the original graph.

The definition of a quadratic equation with vertex (h,k) is given as follows:

y = a(x - h)² + k.

In which a represents the leading coefficient of the quadratic function.

In this problem the coordinates of the vertex are:

(0,0).

Hence the parameters are:

h = 0, k = 0.

Thus the equation is:

y = ax².

When x = -2, y = 3, hence the leading coefficient is given as follows:

3 = a(-2)²

4a = 3

a = 3/4

a = 0.75.

Hence the equation is:

y = 0.75x².

The multiplication by 0.75 means that the parent function y = x² is vertically compressed by a factor of 0.75.

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The value of the stock needs to go up by 42.86% to be equal to what the investor first paid for it.

Let's say the investor initially paid $100 for the stock. A 30% decrease in the value of the stock would mean it is now worth $70. To bring the value of the stock back up to $100, it needs to increase by $30, which is 42.86% of the current value ($30/$70).

Therefore, the value of the stock needs to go up by 42.86% from its current value for the investor to break even.

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Answer:

Step-by-step explanation:

The equation of a straight line is written as

y = mx + c

Where

m represents slope

c represents y intercept

The given equation is expressed as

3x + y = 3

y = 3 - 3x

y = - 3x + 3

Comparing the above equation with the slope intercept equation,

y intercept = 3

The x intercept is the value of x when y = 0

Putting y = 0 in the equation, it becomes

0 = - 3x + 3

3x = 3

x = 3x/3

x = 1

x intercept = 1

The area of the given trapezoidal site is 250,000 sq. ft.

The area of the trapezoidal with the dimensions of both bases and the height is given by the formula,

Area = 1/2 × height × (base1 + base2)

Units: square units

The given trapezoidal site has a base of 150 feet, i.e., base1 = 150 ft; a height of 2000 ft, i.e., height = 2000 ft and a parallel base of 100 feet, i.e., base2 = 100 ft.

Then, the area of the trapezoidal is

= 1/2 × 2000 × (150 + 100)

= 1/2 × 2000 × 250

= 250,000 sq. ft

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Answer:

31.59

Step-by-step explanation:

Attached below!

(Btw: I dont know  wht algorithm is but i tink its wht i just did.... so hope its right! )  

JUST MULPLY ITS EASY DZUHH

Answer: Richard =24 Teo = 8

Step-by-step explanation:

32-8 = 24

24-8 = 16

16/2= 8

The child advocate collects data by randomly selecting 4 out of the 25 state orphanages. In each of the four selected orphanages, the child advocate surveys every child.

This approach allows the child advocate to obtain information from a representative sample of children in state orphanages. By surveying every child in the selected orphanages, the child advocate ensures that no child is excluded from the data collection process. This method provides a comprehensive understanding of the experiences, needs, and concerns of the children in the four chosen orphanages.

By collecting data in this manner, the child advocate can gather valuable insights that can inform policies and interventions to improve the well-being and support for children in state orphanages.

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