help please and thanks

The probability of rolling a six and flipping a head can be calculated by multiplying the individual probabilities of each event.

The probability of rolling a six on a die is 1/6 because there are six possible outcomes (1, 2, 3, 4, 5, 6), and only one of them is a six. The probability of flipping a head on a coin is 1/2 because there are two possible outcomes (heads or tails), and only one of them is heads.

So, the probability of rolling a six and flipping a head is:

1/6 * 1/2 = 1/12

This means that if you roll a die and flip a coin simultaneously, the probability of getting a six and a head is 1/12 or approximately 8.33%.

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There are 16 individuals in each sample.

To determine the number of individuals in each sample, we need to use the formula for calculating degrees of freedom for independent t-tests, which is df = (n1 + n2) - 2.

Since the researcher reports an independent-measures t statistic with df = 30, we can substitute this value into the formula and solve for the total number of individuals across both samples.

Thus, 30 = (n1 + n2) - 2, which simplifies to n1 + n2 = 32. Since the two samples are the same size (n1 = n2), we can divide the total number of individuals by 2 to get the size of each sample.

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There are 16 individuals in each sample.

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

Degrees of freedom, df = 30

Number of samples = 2

The degree of freedom is calculated as

df = (n₁ + n₂) - 2.

In this case,

n₁ = n₂ = n

So, we have

df = 2n - 2

Substitute the known values in the above equation, so, we have the following representation

2n - 2 = 30

So, we have

2n = 32

Divide by 2

n = 16

Hence, the the number of individuals is 16

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Answer:

C) E = 118°; T = 118°

-----------------------------------

The given figure is a kite since it has two pairs of congruent sides as marked.

Its one pair of opposite angles are congruent. That is:

Sum of all interior angles of a quadrilateral is 360°:

Both the missing angles are 118°.

a)test hypothesis for null hypothes is H₀ : P₁ = P₂ alternative hypothesis is Hₐ : P₁ < P₂,

b)Proportion of occupied room in current year and previous year are 0.84 and 0.81 respectively,

c)p-value is 0.991,

d)Minimum estimation is 0.005031 and maximum estimation is 0.055

Given,

                           Current Year    Previous Year

Occupied rooms 1470                  1458

Total rooms         1750                  1800

a)The hypothesis to be tested are;

null hypothesis H₀ : P₁ = P₂

alternative hypothesis Hₐ : P₁ < P₂

Where:

P₁ = Proportion of occupied room in current year

P₂ = Proportion of occupied room in previous year

b) The estimated proportion for occupied rooms is

\(p_1=\frac{occupied\ rooms}{total\ rooms}=\frac{1470}{1750}=0.84\\\\p_2=\frac{1458}{1800}=0.81\)

c) The hypothesis test formula is given as follows:

\(z=\frac{p_1-p_2}{\sqrt{p(1-p()\frac{1}{n_1}+\frac{1}{n_2})}}\)

Where

n₁ = total rooms in previous year=1750

n₂ = total rooms in current year=1800

\(p=\frac{k_1+k_2}{n_1+n_2}=\frac{1470+1458}{1750+1800}=0.825\)

k1 and k2 are occupied rooms in current and previous years

substituting the values we get,

\(z=\frac{0.84-0.81}{\sqrt{0.825(1-0.825()\frac{1}{1750}+\frac{1}{1800})}}=2.35076\)

Z = 2.350769

Looking up the value of Z based on normal distribution relation gives the probability,p-value =0.991

As a result, because p > = 0.05, we fail to reject the null hypothesis, implying that there is insufficient statistical evidence to suggest that the proportion of rooms occupied has not increased over the one-year period.

The p-value = 0.991

d)The 95% confidence interval is given by the following relation;

\(p_1-p_2\pm\ z*\sqrt{\frac{p_1(1-p_1)}{n_1}+\frac{p_2(1-p_2)}{n_2}}\)

Z at 95% = 1.96

substituting the values we get,

Minimum ΔP = 0.005031

Maximum ΔP = 0.055

Where;

ΔP = P₁ - P₂

Thus,the officials will not be pleased about occupied rooms which is given by ΔP = P₁ - P₂, which shows that  P₁ > P₂.

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Answer:

1 cup = 1/2 pint

Step-by-step explanation:

Answer:

D. 15/√346

Hope this helps! Have a nice day :)!

0.3895 Answer

Step-by-step explanation:

I thought you meant it on paper.

Answer:

0.3895

Step-by-step explanation:

Write out the division problem: 389.5 ÷ 1000.

Since we're dividing a decimal number by 1000, we can simply move the decimal point three places to the left to convert 1000 to 1.000: 389.5 ÷ 1.000.

Moving the decimal point three places to the left also means we need to add three trailing zeroes to the dividend: 389.5 becomes 389.500.

Now we can perform the long division: divide 3 by 1, write the quotient 3 above the 8, and subtract 3 from 8 to get 5 as the new remainder. Bring down the next digit 8 to get 58.

Divide 58 by 1, write the quotient 58 above the 9, and subtract 58 from 89 to get 31 as the new remainder. Bring down the next digit 5 to get 315.

Divide 315 by 1, write the quotient 315 above the decimal point, and subtract 315 from 389 to get 74 as the new remainder.

Since there are no more digits to bring down, we've reached the end of the long division. The final quotient is 0.3895.

Don't forget to include the decimal point in the answer, since we moved it three places to the left in step 2. The final answer is 0.3895.

So, 389.5 ÷ 1000 = 0.3895.

Answer:

Step-by-step explanation:

they are equal to each other to set them equal and solve its x=7

The value of x for the angles A = 4x and ∠B = 3x + 7 will be x = 7.

Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines. A figure called an angle is one in which two rays originate from the same point.

Given that angles A and B are corresponding angles formed by two parallel lines cut by a transversal. If m∠A = 4x and m∠B = 3x + 7.

The value of x will be calculated as:-

4x = 3x + 7

4x - 3x = 7

x = 7

Hence, the value of x is 7.

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The number of parakeets are there in 2006 are approximately equal to 4240 monk parakeets.

What is Algebraic expression ?

Algebraic expression can be defined as the combination of variables , constants and exponents.

Given, expressions

In 1992, 1219 monk parakeets were observed in the United States. For the next 11 years, about 12% more parakeets were observed each year.

The initial amount is 1219 . The percent growth is 12%.

So the growth factor is 1+0.12 = 1.12

Therefore,

The model us M = 1219 (1.12)^t

where M is the number of monk parakeets after t years.

M(11) = 1219(1.12)^11

M(11)=4240.35

There will be approximately 4240 monk parakeets in 2003.

M = 1219 (1.12)^t. In 2023, there will be approximately equal to 4240 monk packets.

Hence, The number of parakeets are there in 2006 are approximately equal to 4240 monk parakeets.

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Answer:

1.Range = highest value - lowest value

R=552-225

R=327

2.Re-arrange the set of the data from ascending order

=234,355,470,476,765

Median is the middle value which is

=470

3. Mode is the most occuring frequency which is

=7

4. 1.Range = highest value - lowest value

R=99 - 43

R=56

5.No the range with not change because 76 is neither the highest nor the lowest value

Note: Range = highest value - lowest value

The probabilities of the events in Part 1 and Part 2 are:

Part 1: Probability of selecting 2 red marbles = 1/35

Part 2: Probability of selecting 1 red, then 1 black marble = 1/10

Part 1: Probability of selecting 2 red marbles

The number of red marbles in the box = 3

The first marble that is drawn will be red with probability = 3/15 (since there are 15 marbles in the box)

After one red marble has been drawn, there are now 2 red marbles left in the box and 14 marbles left in total.

The probability of drawing a red marble at this stage is = 2/14 = 1/7

Thus, the probability of selecting 2 red marbles is:Probability = (3/15) × (1/7) = 3/105 = 1/35

Part 2: Probability of selecting 1 red, then 1 black marble

The probability of drawing a red marble on the first draw is: P(red) = 3/15

After one red marble has been drawn, there are now 14 marbles left in total, out of which 7 are black marbles.

So, the probability of drawing a black marble on the second draw given that a red marble has already been drawn on the first draw is: P(black|red) = 7/14 = 1/2

Thus, the probability of selecting 1 red, then 1 black marble is

                      Probability = P(red) × P(black|red)

                                          = (3/15) × (1/2) = 3/30

                                           = 1/10

The probabilities of the events in Part 1 and Part 2 are:

Part 1: Probability of selecting 2 red marbles = 1/35

Part 2: Probability of selecting 1 red, then 1 black marble = 1/10

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The half-life of radon-222 is approximately 3.84 days. We can find it in the following manner.

The half-life of a radioactive substance is the amount of time it takes for half of the initial amount of the substance to decay.

We can use the fact that the sample of radon-222 has decayed to 58% of its original amount after 3 days to determine its half-life.

Let N0 be the original amount of radon-222 and N(t) be the amount remaining after time t. We know that:

N(3) = 0.58N₀

We can use the formula for radioactive decay:

\(N(t) = N₀ * (1/2)^(t/h)\)

here h is the half-life.

Substituting in N(3) and simplifying:

\(0.58N₀ = N₀ * (1/2)^(3/h)\)

0.58 = (1/2)^(3/h)

Taking the natural logarithm of both sides:

\(ln(0.58) = ln[(1/2)^(3/h)]\)

ln(0.58) = (3/h) * ln(1/2)

h = -3 / ln(1/2) * ln(0.58)

Using a calculator, we get:

h ≈ 3.84 days

Therefore, the half-life of radon-222 is approximately 3.84 days.

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Answer:

x/y= −3 => x= −3y

x²/y²+y²/x²=y²/x²

Step-by-step explanation:

Evaluate xy, then set it equal to −3.

x=−3y

Evaluate x²/y²+y²/x².

y²/x²

what's up? to convert this into a fraction, simply multiply 12.3/1 by 10 in order to get 123/10. you can also do it by seeing .3 is in tenths, so it would be 3/10. you are left with 12 (whole number) so 12 3/10 which is also 123/10

best of luck with your studies

A. The solution to the congruence 3x - 107 ≡ 0 (mod 12) is x ≡ 1 (mod 12).

B. The solution to the congruence 5x + 3 - 102 ≡ 0 (mod 7) is x ≡ 6 (mod 7).

C. The solution to the congruence 66 + 9 ≡ 0 (mod 11) is x ≡ 4 (mod 11).

To solve modulo equations or congruences, we need to find values of x that satisfy the given congruence.

A. For the congruence 3x - 107 ≡ 0 (mod 12), we want to find an x such that when 107 is subtracted from 3x, the result is divisible by 12. Adding 107 to both sides of the congruence, we get 3x ≡ 107 (mod 12). By observing the remainders of 107 when divided by 12, we see that 107 ≡ 11 (mod 12). Therefore, we can rewrite the congruence as 3x ≡ 11 (mod 12). To solve for x, we need to find a number that, when multiplied by 3, gives a remainder of 11 when divided by 12. It turns out that x ≡ 1 (mod 12) satisfies this condition.

B. In the congruence 5x + 3 - 102 ≡ 0 (mod 7), we want to find an x such that when 102 is subtracted from 5x + 3, the result is divisible by 7. Subtracting 3 from both sides of the congruence, we get 5x ≡ 99 (mod 7). Simplifying further, 99 ≡ 1 (mod 7). Hence, the congruence becomes 5x ≡ 1 (mod 7). To find x, we need to find a number that, when multiplied by 5, gives a remainder of 1 when divided by 7. It can be seen that x ≡ 6 (mod 7) satisfies this condition.

C. The congruence 66 + 9 ≡ 0 (mod 11) states that we need to find a value of x for which 66 + 9 is divisible by 11. Evaluating 66 + 9, we find that 66 + 9 ≡ 3 (mod 11). Hence, x ≡ 4 (mod 11) satisfies the given congruence.

Modulo arithmetic or congruences involve working with remainders when dividing numbers. In a congruence of the form a ≡ b (mod m), it means that a and b have the same remainder when divided by m. To solve modulo equations, we manipulate the equation to isolate x and determine the values of x that satisfy the congruence. By observing the patterns in remainders and using properties of modular arithmetic, we can find solutions to these equations.

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Note that f(x) is the product of two linear terms. So it must be a quadratic function. To find the quadratic term we simply expand the product of both terms. We have that

If we expand the product we get

we note that this is of the form

where a is the quadratic term, b is the linear term and c is the constant term. By comparison, we can see that the quadratic term is 15, the linear term is 9 and the constant term is -6. All of this criteria are met by the third option. Meaning the third option is the correct one

Answer:

$3.00

Step-by-step explanation:

Answer with step-by-step explanation:

3 months is 1/4 of a year. We need to multiply $110 by 1/4, which is $27.5

Hope this was helpful!

Answer: 1372.33

Step-by-step explanation: add it all up

Addition can be defined as the process of adding two numbers. The total bill Better Builder Company should give the customer if they want to make a profit of $225 on the job is $1408.74.

Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.

To make a profit the Better builder company needs to add all the expenses and the profit they need to make. Therefore, the sum can be written as,

Total Bil = $672.25 + $86.77 + $39.41 + $180.96 + $204.35 + $225

              = $1408.74

Hence, the total bill Better Builder Company should give the customer if they want to make a profit of $225 on the job is $1408.74.

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Answer:

i would say <2= 80?

Step-by-step explanation:

im not pretty sure

The value of θ is the angle whose cosine is 7/8, which is approximately 28.955 degrees or 0.506 radians

We can begin by simplifying the equation using algebraic operations:

(6cos(θ)+1)/5 = (8cos(θ)-2)/4

Multiplying both sides by 20, we get:

4(6cos(θ)+1) = 5(8cos(θ)-2)

Expanding the brackets, we get:

24cos(θ) + 4 = 40cos(θ) - 10

Moving all the terms with cos(θ) to one side and all the constants to the other side, we get:

24cos(θ) - 40cos(θ) = -10 - 4

-16cos(θ) = -14

Dividing both sides by -16, we get:

cos(θ) = 7/8

Therefore, the value of θ is the angle whose cosine is 7/8, which is approximately 28.955 degrees or 0.506 radians

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Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

All you have to do is find where the two circles intersect with each other ( where they meet ) and then draw your 5cm line from A to the intersection and the 3cm line from B to the intersection.

It should form a triangle*.

* The image should help you.

Elena should put a point where the two circles intersect and draw line segments connecting that point to points A and B to finish her triangle.

Answer:

4

Step-by-step explanation:

Answer:

a = 4

Step-by-step explanation:

to get from 16 to 2 you have to divide 16 by 8

to get from 32 to a you have to do the same to the numerator

Answer:

Step-by-step explanation:

415 \(in^{3}\)

Answer:

415 in^3

Step-by-step explanation:

Answer:

kkffkyeurkyerkurkurumeukulruor

Answer:

If the radius and height of the cylinder are 6 meters and 3 meters. Then the volume of the cylinder is 339.3 cubic meters.

What is a cylinder?

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

A cylinder has a radius of 6 meters and a height of 3 meters.

Then the volume of the cylinder will be

Where r is the radius of the cylinder and h is the height of the cylinder.

Then we have

V = 3.14 × 6² × 3

V = 339.3 m³

Then the volume of the cylinder is 339.3 cubic meters.

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Step-by-step explanation: