two fair dice are rolled, find the probability that the minimum of the two numbers is greater than 3.

Yes, the equation 1/4y = 5x represents a direct proportion, and has a constant of proportionality of

A direct proportion is defined by the equation, y = kx, where k is the constant of proportionality.

To check if see the equation is a direct proportion, multiply both sides of the equation by 4:

1/4y * 4 = 4 * 5x

y = 20x

This shows that the ratio of y to x is equal to a constant value of 20, so y and x are directly proportional. The constant of proportionality is 20.

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Answer:

A fraction is essentially division, so 3/5 is the same as 3 ÷ 5

3÷5 = 0.6

\(5\sqrt{3\\\)

(imagine the square root is the divsion thing)

5 cannot go into 3 so the answer is a decimal

then add a zero at the end of 3 to make 30

   0.

\(5\sqrt{30\)

and 5 can go into 30, 6 times so you add a 6 to make 0.6

    0.6

\(5\sqrt{30\)

We are given the following function:

We are asked to determine the value of p(8a). That means that we will substitute the value of "x = 8a" in the function, like this:

Now, we solve the exponents using the following property:

Applying the property we get:

Solving the products we get:

Since we can't simplify any further this is the final answer.

The quadratic function of the graph is y = 0.25x² + 2x -6

From the question, we have the following parameters that can be used in our computation:

The graph

A quadratic function in vertex form can be expressed as

y = a(x - h)² + k

Where

Vertex = (h, k) = (-4, -10)

So, the equation becomes

y = a(x + 4)² - 10

Using the points on the graph, we have

(0, -6)

So, the equation becomes

a(0 + 4)² - 10 = -6

This gives

16a = 4

So, we have

a = 0.25

Recall that

y = a(x + 4)² - 10

So, we have

y = 0.25(x + 4)² - 10

Expand

y = 0.25(x² + 8x+ 16) - 10

Lastly, we have

y = 0.25x² + 2x -6

Hence, the equation is y = 0.25x² + 2x -6

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Distance of 125 feet covered in 5 seconds, so the speed is 25 feet/second.

Any object's distance traveled in a unit of time is referred to as speed.

In mathematical term, Speed is express as S = D/T,

where S=speed, D=distance, T= time.

Given that,

The distance = 125 feet.

The time taken to cover the distance = 5 seconds.

To find the unit rate.

Apply formula,

speed = distance / time

          = 125 / 5

          = 25 feet / second

The required speed is 25 feet / second.

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Answer:

(5x+1)(x+2)

Step-by-step explanation:

Factor 5x2+11x+2

5x2+11x+2

=(5x+1)(x+2)

Answer:

10x?

Step-by-step explanation:

for a polynomial of the form ax2 + bx + c, rewrite the middle term as a sum of two terms whose product is a*c = 5*2 = 10 and whose sum is b = 11

Materials B and D are the only materials mentioned that meet the minimum specific heat capacity requirement of at least 1.8 J/g °C.

Based on the given information, the materials that meet the minimum specific heat capacity criteria of at least 1.8 J/g °C are Materials B and D.

Specific heat capacity is the amount of heat energy required to raise the temperature of a substance by a certain amount. The minimum requirement is 1.8 J/g °C.

Material B and Material D have specific heat capacities that meet this criteria. The specific heat capacity values for these materials are not provided, but they are known to be at least 1.8 J/g °C.

The specific heat capacities of Materials A and C are not specified, so it cannot be determined whether they meet the minimum criteria.

Therefore, Materials B and D are the only materials mentioned that meet the minimum specific heat capacity requirement of at least 1.8 J/g °C.

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Answer:

The time at which the car arrives at its destination is 0625 hours or 6: 25 am or 25 minutes past 6.

Step-by-step explanation:

Departure time = 0540 Hours means 5: 40 am or 40 minutes past 5 in the morning.

Now add 45 mins

Hours : Minutes

      5:        40

      +         45

    5      :    85

But 1 hour contains 60 minutes so 85 - 60 gives 25 minutes . those 60 minutes = 1 hour are carried over the hours and added .

Hours : Minutes

       1

      5:        40

      +         45

    6      :    25

The time at which the car arrives at its destination is 0625 hours or 6: 25 am or 25 minutes past 6 in the morning.

Hello!

it's a multiplication

7,000 x 500

= 3,500,000

1. the correct answer is A. 2.576; 4.604.

2. The correct answer is D.

3. The correct answer is A.

For the first question, since the sample size is small (n = 5), we use the t-distribution to construct a confidence interval. For a 99% confidence interval with 4 degrees of freedom, the t-value is 4.604. The corresponding z-value for a 99% confidence interval is 2.576. Therefore, the correct answer is A. 2.576; 4.604.

For the second question, we use the formula for the confidence interval for the mean:

Confidence interval = sample mean ± (t-value)*(standard error)

where the t-value is based on the degrees of freedom (df = n - 1) and the standard error is calculated as:

standard error = standard deviation / sqrt(n)

Plugging in the values from the problem, we get:

Confidence interval = 112 ± (2.064)*(560/sqrt(2617)) ≈ 112 ± 21.46

Therefore, the approximate 95% confidence interval for the true mean reserve price is 112 ± 21.46. The correct answer is D.

For the third question, we use the formula for the confidence interval for a proportion:

Confidence interval = sample proportion ± (z-value)*(standard error)

where the z-value is based on the desired level of confidence (95% corresponds to a z-value of 1.96) and the standard error is calculated as:

standard error = sqrt[(sample proportion * (1 - sample proportion)) / n]

Plugging in the values from the problem, we get:

Confidence interval = 0.49 ± (1.96)(sqrt[(0.490.51)/225]) ≈ 0.49 ± 0.045

Therefore, the 95% confidence interval for the true proportion is 0.49 ± 0.045. The correct answer is A.

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Answer:

depends on how many slices was cut into each pizza

Step-by-step explanation:

if it was 6 from each then it would be 10/36 and if it was more then more slices would have been left.

Answer:

The answer is A) 14/12

Step-by-step explanation:

The common denominator here is 12.

1/3 is multiplied by 4 to get 12 on the bottom, and 4 on the top (4/12)

2/4 is multiplied by 3 to get 12 on the bottom, and 6 on the top (6/12)

4/12 stays the same

Now, we have 4/12 + 6/12 + 4/12

Add all the numerators to get 14/12 as your answer.

a. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores. b. The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

(a) To find the probability that the sample mean will be within ±5 of the population mean, we can use the Central Limit Theorem (CLT) and the properties of a normal distribution.

The sample mean, is an unbiased estimator of the population mean, μ. According to the CLT, the distribution of sample means approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

     = 200 / √400

     = 200 / 20

     = 10

To find the probability that the sample mean will be within ±5 of the population mean, we can standardize the interval using the z-score:

For the lower bound (-5), the z-score is (-5 - 0) / 10 = -0.5.

For the upper bound (+5), the z-score is (5 - 0) / 10 = 0.5.

We can now use a standard normal distribution table or technology (such as a calculator or statistical software) to find the probability associated with the z-scores -0.5 and 0.5. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores.

(b) To find the probability that the sample mean will be within ±10 of the population mean, we follow the same steps as in part (a).

The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

Note: Since the question mentions rounding answers to four decimal places, please use the appropriate table or technology to obtain the precise probabilities for parts (a) and (b).

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Answer:

The area is 200 ft^2

Step-by-step explanation:

The perimeter is 60 and the windth is twice larger, so the lenght is 10 ft and the width is 20 ft.

10x20= 200ft^2

2(x+2x) = 60

or, 2x+4x = 60

or, 6x = 60

or, x = 10

= length × width

= (10×20) square feet

= 200 square feet

Answer:

The answer to this question is B

Step-by-step explanation:

just believe

Answer: \(x\in [53,\infty)\)

Step-by-step explanation:

Given

Ade doubles her number and subtract 5 from it. The result cannot be less than 100

Suppose the number is \(x\)

According to the question

\(\Rightarrow 2x-5\geq100\\\text{Solve the inequality}\\\Rightarrow 2x\geq105\\\Rightarrow x\geq52.5\\\text{for integer number, the range is given by }\\\Rightarrow x\in [53,\infty)\)

Answer:

What is the question??

Step-by-step explanation:

I am confused.

Given:

The equation of the parabola is:

\(y=x^2+6x\)

To find:

The y-intercept of the parabola.

Solution:

We have,

\(y=x^2+6x\)

Putting \(x=0\) in the given equation, we get

\(y=(0)^2+6(0)\)

\(y=0+0\)

\(y=0\)

Therefore, the y-intercept of the parabola is 0. It means the y-intercept of the given parabola is at point (0,0).

Answer:

The answer would be C. An obtuse equilateral triangle :)

Answer:

step by step explanation:

standard form: x^2 -7x +5

degree of polynomial is 2.

its a quadratic equation with one variable

Answer:

Step-by-step explanation:

Plug in X for each one

Answer:

first answer: 7

second answer: 19

third answer: 21

forth answer: 23

Answer:

$ 42 436

Step-by-step explanation:

3% = .03

40 000 ( 1 + .03)^2  = 42436

Answer:

m∠B ≈ 28.05°

Step-by-step explanation:

Because we don't know whether this is a right triangle, we'll need to use the Law of Sines to find the measure of angle B (aka m∠B).  

The Law of Sines relates a triangle's side lengths and the sines of its angles and is given by the following:

\(\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}\).

Thus, we can plug in 36 for C, 15 for c, and 12 for b to find the measure of angle B:

Step 1:  Plug in values and simplify:

sin(36) / 15 = sin(B) / 12

0.0391856835 = sin(B) / 12

Step 2:  Multiply both sides by 12:

(0.0391856835) = sin(B) / 12) * 12

0.4702282018 = sin(B)

Step 3:  Take the inverse sine of 0.4702282018 to find the measure of angle B:

sin^-1 (0.4702282018) = B

28.04911063

28.05 = B

Thus, the measure of is approximately 28.05° (if you want or need to round more or less, feel free to).

35/864 is the probability that the same color is recorded both times .

How does probability explain work?

7/12*1/2 = 7/24

red marbles =  5/12*1/3 ⇒ 5/36

the probability =  7/24*5/36 ⇒ 35/864

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The population of birds to increase by 50% in 31.25 years.

The differential equation for the population of birds is:

dp/dt = 0.016P

where P is the population of birds and t is time in years.

To obtain the time it takes for the population to increase by 50%, we need to solve for t when P increases by 50%.

Let P0 be the initial population of birds, and P1 be the population after the increase of 50%.

Then we have:

P1 = 1.5P0 (since P increases by 50%)

We can solve for t by integrating the differential equation:

dp/P = 0.016 dt

Integrating both sides, we get:

ln(P) = 0.016t + C

where C is the constant of integration.

To obtain the value of C, we can use the initial condition that the population at t=0 is P0:

ln(P0) = C

Substituting this into the previous equation, we get:

ln(P) = 0.016t + ln(P0)

Taking the exponential of both sides, we get

:P = P0 * e^(0.016t)

Now we can substitute P1 = 1.5P0 and solve for t:

1.5P0 = P0 * e^(0.016t

Dividing both sides by P0, we get:

1.5 = e^(0.016t)

Taking the natural logarithm of both sides, we get:

ln(1.5) = 0.016t

Solving for t, we get:

t = ln(1.5)/0.016

Using a calculator, we get:

t ≈ 31.25 years

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Answer:

8

Step-by-step explanation:

3(3)-1

=9-1

=8

PLS GIVE BRAINLIEST

Answer:

-9w^3

Step-by-step explanation:

Combine like terms. -20+11 = -9

Answer:

-9 w^3

Step-by-step explanation:

-20w^3+11w^3

Combine like terms

(-20+11) w^3

-9 w^3