A die is loaded in such a way that an even number is twice as likely to occur as an odd number. If is the event that a number less than 4 occurs on a single toss of the die, find . (Hint: Start by assigning weights to each one of the possible outcomes in this experiment. If p is the probability of an odd number, 2p is the probability of an even number, and the sum of probabilities of all possible outcomes (i.e., over the whole sample space, must be 1.)

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer:

r+b=n

Step-by-step explanation:

The red counters + the blue counters is the same as the total amount of counters in the bag.

Answer:

5 = $ 5.25.    10= $ 6.50.   20= $9.00

Step-by-step explanation:

if this is wrong you can completely write me a really rude email or message or something

Answer: 93

Step-by-step explanation:

To solve this problem, we need to use the order of operations, or PEMDAS.

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

For multiply/divide and add/subtract, you don't necessarily go in that specific order. You go from left to right, depending on what comes first. For example, if division comes before multiply, you would divide first, then multiply. Same goes for add/subtract.

9²+3×(9-5)²/4                          [solve parenthesis]

9²+3×(4)²/4                              [solve exponent]

81+3×16/4                                [solve multiply or divide, whichever comes first]

81+12                                        [solve add or subtract, whichever comes first]

93

Now, we know that 93 is our final answer.

The function is y = -3x

The values of x are -4, -3, 0, 3, 4

We need to substitute x by each given value to find the corresponding values of y

The first number in the column of y is 12

The second number in the column of y is 9

The 3rd number in the column of y is 0

The 4th number in column of

Answer:

As a simplified fraction, the probability that the first randomly taken candy will be red and second will be red again is \(\frac{2}{9}\)

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the candies are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

Desired outcomes:

2 candies from a set of 5. So

\(D = C_{5,2} = \frac{5!}{2!(5-2)!} = 10\)

Total outcomes:

2 candies from a set of 10. So

\(T = C_{10,2} = \frac{10!}{2!(10-2)!} = 45\)

Probability:

\(p = \frac{D}{T} = \frac{10}{45} = \frac{2}{9}\)

As a simplified fraction, the probability that the first randomly taken candy will be red and second will be red again is \(\frac{2}{9}\)

Answer:

1/3 pound.

Step-by-step explanation:

2/9 pound +1/9 pound = (2+1)/9 pound.

This can be simplified to 3/9 pound, or 1/3 pound.

Let me know if this helps!

Answer:

33.333 percent

Step-by-step explanation:

Answer:

\(y=15e^{e^{- \frac{t}{100}}}kg\)

Step-by-step explanation:

Let y(t) represent the amount of salt in the tank after t minutes. Therefore:

\(\frac{dy}{dt}=rate\ in-rate\ out\)

Pure water is entering at a rate of 10 L/min, therefore rate in = 0

The tank contains 1000 L of brine (salt water) with 15 kg of dissolved salt, and a mixed solution leaving at 10 L/min hence;

\(rate\ out = \frac{y(t)\ kg}{1000\ L}*10\ L/min= \frac{y(t)\ kg}{100\ min}\\\\Therefore:\\\\\frac{dy}{dt}=0- \frac{y(t)}{100} \\\\\frac{dy}{dt}=- \frac{y(t)}{100}\\\\\frac{dy}{y}=- \frac{1}{100}dt\\\\\int\limits{\frac{dy}{y}} =\int\limits- \frac{1}{100}dt\\\\lny=- \frac{t}{100}+C\\\\Taking\ exponetial\ of\ both\ sides:\\\\y=e^{- \frac{t}{100}+C}\\\\y=e^C.e^{- \frac{t}{100}}\\\\y=Ae^{- \frac{t}{100}}(A=e^C)\\\\at\ y=15kg, t=0\\\\15=Ae^{e^{- \frac{0}{100}}}\\\\A=15\\\\\)

\(y=15e^{e^{- \frac{t}{100}}}kg\)

Answer:

37

Step-by-step explanation:

14×1

24×2

42×3

42-5 = 37

Step-by-step explanation:

To find the next term or number, we'll need to keep subtracting 5. So the formula is: n-5

Answer:

  see attached for a sketch

  area = 5 1/3 square units

Step-by-step explanation:

You want the area under the square root curve, above y=0, from x=0 to x=4.

The area is found by integrating a differential of area over appropriate limits. A vertical slice will have hight √x and width dx, so we have ...

  dA = (√x)dx

  A = ∫(√x)dx

The power rule can be used for the integration:

  \(\displaystyle A=\int_0^4{x^{\frac{1}{2}}}\,dx=\left[\dfrac{x^{\frac{3}{2}}}{\frac{3}{2}}\right]^4_0=\dfrac{2}{3}(4^\frac{3}{2})=\dfrac{16}{3}=\boxed{5\dfrac{1}{3}}\)

The area of the region is 5 1/3 square units.

__

Additional comment

You will notice that the area is bounded by a rectangle 4 units wide and 2 units high, for an area of 4·2 = 8. The area under the parabolic curve is 2/3 of that: 2/3·8 = 16/3 = 5 1/3 square units.

This fraction will be true for any area bounded by a parabola where the vertex is one of the corners of the rectangle.

#95141404393

Answer:

144

Step-by-step explanation:

Mark as Brainliest Answer

the answer is d just did it

Answer:

-8: (-4, -3]

-7: (-3, -1]

(-5, -1]: (-5, -1]

(-4, -1]: (-4, -1]

[-3, 1]: [-3, 1]

(2, 1): (1, 2]

Answer:

Step-by-step explanation:

p = 2w + 2l

therefore, p = 8.32*2 + 3.1*2

16.64 +6.2

p = 22.84

perimeter = 23 meters

Answer:

a) 87.91% probability that at most three used the emergency room

b) 20.13% probability that exactly three used the emergency room.

c) 3.28% probability that at least five used the emergency room​

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they use the emergency room, or they do not. The probability of a person using the emergency room is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

Sample of 10 people:

This means that \(n = 10\)

20% of the people in a community use the emergency room at a hospital in one year

This means that \(p = 0.2\)

a) At most three used the emergency room

\(P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)\)

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074\)

\(P(X = 1) = C_{10,1}.(0.2)^{1}.(0.8)^{9} = 0.2684\)

\(P(X = 2) = C_{10,2}.(0.2)^{2}.(0.8)^{8} = 0.3020\)

\(P(X = 3) = C_{10,3}.(0.2)^{3}.(0.8)^{7} = 0.2013\)

\(P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.1074 + 0.2684 + 0.3020 + 0.2013 = 0.8791\)

87.91% probability that at most three used the emergency room

b) Exactly three used the emergency room

\(P(X = 3) = C_{10,3}.(0.2)^{3}.(0.8)^{7} = 0.2013\)

20.13% probability that exactly three used the emergency room.

c) At least five used the emergency room​

\(P(X \geq 5) = 1 - P(X < 5)\)

In which

\(P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)\)

From 0 to 3, we already have in a).

\(P(X = 4) = C_{10,4}.(0.2)^{4}.(0.8)^{6} = 0.0881\)

\(P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.1074 + 0.2684 + 0.3020 + 0.2013 + 0.0881 = 0.9672\)

\(P(X \geq 5) = 1 - P(X < 5) = 1 - 0.9672 = 0.0328\)

3.28% probability that at least five used the emergency room​

Answer:

The scale of the drawing is 1 cm to 90 m. This means that every 1 cm on the drawing represents 90 m in real life. The length of the field is 450 m, so the length of the drawing will be 450 m / 90 m = 5 cm.

Therefore, the length of the dam drawing is 5 cm.

Step-by-step explanation:

Answer:

a) thirty-five(35)

b) twenty-five(25)

c) ten (10)

Answer:

900 kg

Step-by-step explanation:

Let's assume the cost price (C.P.) of sugar is Rs. x per kg.

The total quantity of sugar is 1500 kg.

Let the quantity of sugar sold at 8% profit be represented by y kg.

The quantity of sugar sold at 18% profit would then be (1500 - y) kg.

Using the rule of alligation, we can set up the following proportion:

(8% profit) y kg

-------------- = ------

(18% profit) (1500 - y) kg

Simplifying the proportions, we find that the difference in percentages is 4% (18% - 14% = 4%) and 6% (14% - 8% = 6%).

The ratio of these differences is 2:3.

This means that for every 2 kg of sugar sold at 8% profit, 3 kg of sugar is sold at 18% profit.

Since y represents the quantity sold at 8% profit (2 kg), we can calculate the quantity sold at 18% profit (3 kg) as follows:

(2 kg) * (3/2) = 3 kg

Therefore, the quantity sold at 18% profit is 900 kg.

Let's simplify the expression

Therefore the simplified form is:

84.13% of the printing jobs will be acceptable.

The new standard deviation required to achieve a minimum of 95% of jobs acceptable is 0.121.

The darkness of the print is measured quantitatively using an index. If the index is greater than or equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and not acceptable. The machines print at an average darkness of 2.2 with a standard deviation of 0.20.

The mean of the darkness of the print is µ = 2.2 and the standard deviation is σ = 0.20.Therefore, the z-score can be calculated as; `z = (x - µ) / σ`.The index required for acceptable prints is 2.0. Thus, the percentage of prints that are acceptable can be calculated as follows;P(X ≥ 2.0) = P((X - µ)/σ ≥ (2.0 - 2.2) / 0.20)P(Z ≥ -1) = 1 - P(Z < -1)Using the standard normal table, P(Z < -1) = 0.1587P(Z ≥ -1) = 1 - 0.1587= 0.8413.

To find the new standard deviation, we can use the z-score formula.z = (x - µ) / σz = (2.0 - 2.2) / σz = -1Therefore, P(X ≥ 2.0) = 0.95P(Z ≥ -1) = 0.95P(Z < -1) = 0.05Using the standard normal table, the z-score value of -1.645 corresponds to a cumulative probability of 0.05. Hence,z = (2.0 - 2.2) / σ = -1.645σ = (2.0 - 2.2) / -1.645= 0.121.

for such more question on deviation

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Answer:

The correct answer is:

D. Action: Divide both sides by 4.

E. Property: Division property of equality.

Keegan's error is assuming that the product of the slopes of any two sides of a triangle should be -1 for the triangle to be a right triangle.

To determine if the triangle LMN is a right triangle, Keegan should instead calculate the lengths of the three sides of the triangle and check if they satisfy the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

To correct his approach, Keegan should calculate the lengths of sides LM, MN, and NL using the coordinates of the vertices and then check if the Pythagorean theorem holds true.

If the squared length of one side is equal to the sum of the squares of the other two sides, then the triangle LMN is a right triangle.

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Answer:

-3+8+2=x, negative times negative is positive

then, -3+10=x

7=x is the final answer

Answer:

10 × $30 = $300

Step-by-step explanation:

Answer:

  D.  y = 1.5x +5

Step-by-step explanation:

The offered answer choices are equations in slope-intercept form. The constant in the equation is the y-intercept, the value of distance when time is zero.

   y = mx +b . . . . m is slope; b is y-intercept

__

The table tells you that the distance value is 5 when the time value is 0. In the equation, that means ...

  b = 5

Only one answer choice matches:

  y = 1.5x +5

Answer:

4/3 is the fraction / the denomonator would then be 3

Step-by-step explanation:

4 shaded on the top and 3 shaded on the bottom. The numerator is on the top and the denomonator is on the bottom.

Answer:

A translation, yes.....ok! the answer is below! ;)

In my explanation:

A translation is a type of transformation, it is when there is a plane and an object slides from one place to another without changing it's size, shape, or rotation.

Web explanation:

In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system.

Look at the image below, there is a figure, called the pre-image, and then when it slides the new image is called the image.

Hope this helps!

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Answer:

the correct answer is shown below

Step-by-step explanation:

hope this helps