Find the indicated side of the
right triangle.
60°
30°
X
x = 3√√√/[?]
3

The bounds for a 95% confidence interval could be option (B) 72 and 79

We know that the 98% confidence interval has bounds of 73 and 80. This means that if we were to repeat the same experiment many times, we would expect that 98% of the time, the true population mean would fall within this range.

To find the bounds for a 95% confidence interval, we can use the fact that a higher confidence level corresponds to a wider interval, and a lower confidence level corresponds to a narrower interval.

Since we want a narrower interval for a 95% confidence level, we can expect the bounds to be closer to the sample mean. We can calculate the sample mean as the midpoint of the 98% confidence interval

(sample mean) = (lower bound + upper bound) / 2 = (73 + 80) / 2 = 76.5

Next, we can use the formula for a confidence interval:

(sample mean) ± (z-score) × (standard error)

where the z-score depends on the desired confidence level, and the standard error depends on the sample size and sample standard deviation. Since we don't have this information, we can assume that the sample size is large enough (i.e., greater than 30) for the central limit theorem to apply, and we can use the formula

standard error = (width of 98% CI) / (2 × z-score)

For a 98% confidence interval, the z-score is 2.33 (found using a standard normal distribution table or calculator). Plugging in the values, we get

standard error = (80 - 73) / (2 × 2.33) = 1.70

Now, we can use this standard error to calculate the bounds for a 95% confidence interval

(sample mean) ± (z-score) × (standard error) = 76.5 ± 1.96 × 1.70

Simplifying, we get

(lower bound) = 76.5 - 3.33 = 73.17

(upper bound) = 76.5 + 3.33 = 79.83

Therefore, the correct option is (B) 72 and 79

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The correct option would be -4...4.

The expression (randgen.nextInt(9) - 4) uses a random number generator object named randgen to generate a random integer between 0 (inclusive) and 9 (exclusive) using the nextInt() method.

By subtracting 4 from this random integer, we determine the range of possible values for the expression.

Since the original random integer ranges from 0 to 8, subtracting 4 shifts the range to -4 to 4. This means that the possible values for (randgen.nextInt(9) - 4) can be any integer between -4 and 4, inclusive.

In other words, the expression can yield values such as -4, -3, -2, -1, 0, 1, 2, 3, and 4. These values cover a total of nine integers, including both positive and negative numbers.

Therefore, the correct option is -4...4, which represents the range of possible values for the expression (randgen.nextInt(9) - 4).

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Answer: x < 1

--------------------    

The given 95% confidence interval is (51.3, 54.7) and the null hypothesis is H0:

µ = 50

while the alternative hypothesis is Ha: µ ≠ 50. We have to determine the P-value for the test.

Therefore, the correct answer is (b)

The answer is (b) the P-value for the test is less than 0.05. Since the null hypothesis is that the population mean is 50, and the given confidence interval doesn't contain the value 50, the null hypothesis is rejected.

We can reject the null hypothesis at the 5% level since 50 is not in the 95% confidence interval.Hence, the null hypothesis is rejected with 5% significance level i.e. This implies that the P-value for the test is less than 0.05. the P-value for the test is less than 0.05.

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Answer:

2,003,160

Step-by-step explanation:

We can see the key word greater and know to add.

If someone mixes 36 liters of orange juice and 45 liters of soda water, how many batches would they make?

1,620,757 + 382,403 = 2,003,160

Solution of the given expression 6a + 18ab after rewriting using a common factor is equal to :

A. 6a(1 + 3b).

As given in the question,

Given expression is equal to :

6a + 18ab

Find common factors of both the terms we get.

6 = 1, 2, 3, 6

18 = 1, 2, 3, 6, 9, 18

Highest common factor of 6 and 18 is equal to 6.

Now take 6a as a common factor from both the terms we get,

6a + 18ab

= ( 6a × 1 ) + ( 6a × 3b )

= 6a × ( 1 + 3b )

= 6a ( 1 + 3b )

Therefore, solution of the given expression 6a + 18ab after rewriting using a common factor is equal to :

A. 6a(1 + 3b).

The complete question is :

Rewrite 6a + 18ab using a common factor.

A.6a(1 + 3b)

B. 6a(0 + 3b)

C.6ab(0 + 3)

D. 6ab(1 + 18ab)

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Answer:  6a(1 + 3b)

Step-by-step explanation:  I took the test

3-5x=2

or, -5x=-1

or, x= 1/5

The value of x is 1/5 for equation 3 – 5x = 2

Two or more expressions with an Equal sign is called as Equation.

The given equation is 3 – 5x = 2

Three minus five times of x equal to two

We need to solve for x

3 – 5x = 2

Subtract 3 from both sides

3-3-5x=2-3

-5x=-1

Divide both sides by -5

x=-1/-5

x equal to one by five

x=1/5

Hence, the value of x is 1/5 for equation 3 – 5x = 2

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Answer:

1/4 pounds / 0.25 pounds

Step-by-step explanation:

1/3 x 3/4 = 3/12. Simplify to 1/4

The weight of apple is 1/4 pound.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A bunch of bananas weigh 3/4 pound.

An apple weighs 1/3 as much as the bunch of bananas.

So, the weight of apple

= 3/4 x 1/3

= 3/12 pounds

= 1/4 pounds

Hence, the weight of apple is 1/4 pound.

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The x intercept shown in the table are -2 and 2

The y intercept shown in the table is -4

The x-intercept of a graph is the point at which the graph crosses the x-axis, i.e., the y-coordinate of the point is 0. In other words, it's the solution to the equation y = 0.

The y-intercept of a graph is the point at which the graph crosses the y-axis, i.e., the x-coordinate of the point is 0. In other words, it's the solution to the equation x = 0.

In the table x- and y-intercepts are the values where the y values and x value are zero

x intercepts = -2 and 2

y intercepts = -4

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Answer:

A: (x-3, y+4)

Step-by-step explanation:

A coordinate plane is basically just a number line with two axes.

If we move a numbet right 3, to return it back we’d need to bring it left 3.

If we move a number down 4, we need to bring it up 4 to bring it back to it’s original position.

So to get it back, we need to add the opposite.

(x + 3), 3’s opposite is -3

(y - 4), -4’s opposite is 4.

Hope this helped!

Answer:

D

please mark brainlist!!! please

Answer:

d

Step-by-step explanation:

study of interactions among organisms and between

Answer:

the paper use by her is 112

Step-by-step explanation:

The computation of the paper use is shown below:

= Height of the box × sides

= 28 inches × 4 inches

= 112

Hence, the paper use by her is 112

Therefore the same would be considered and relevant too

The house was in the shape of an octagon, with eight separate bedrooms on each side.

The house described in the statement has an octagonal shape. An octagon is a polygon with eight sides, characterized by its eight equal angles. In this case, each side of the house corresponds to one of these angles, resulting in eight separate bedrooms on each side of the octagonal structure.

The choice of an octagon as the shape of the house can have various implications. Octagonal buildings are often admired for their unique architectural design and aesthetic appeal. The shape provides symmetry and balance, allowing for an interesting and visually pleasing structure. Additionally, an octagonal layout can offer practical advantages in terms of space utilization and room distribution. In the case of the house described, each side of the octagon accommodates a separate bedroom, providing privacy and ample living space for its occupants. The symmetrical arrangement of the bedrooms around the central area of the house could create a harmonious and well-organized living environment. Overall, the octagonal shape of the house with eight separate bedrooms on each side offers both architectural and functional benefits.

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The fixed point traces out the diameter of the larger circle in a Tusi couple.

A Tusi couple is a mathematical device used to convert linear motion into circular motion. It consists of two circles, one smaller and one larger, with the smaller circle rolling inside the larger circle. As the smaller circle rolls, a fixed point on its circumference traces out the diameter of the larger circle.

To understand this concept, imagine the smaller circle placed inside the larger circle, touching at a single point. As the smaller circle rolls around the interior of the larger circle, the fixed point moves along a straight path, which is the diameter of the larger circle.

The fixed point's movement is a result of the combination of the circular motion of the smaller circle and its linear motion due to rolling. This mechanism allows for the conversion of the smaller circle's linear motion into the fixed point's circular motion, illustrating the geometric principle behind the Tusi couple.

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Answer:

i think its c

Step-by-step explanation:

Answer: the answer is c

Step-by-step explanation:

Answer:

Rosie is 10 years old

Step-by-step explanation:

A)

Rosie is x years old

Rosie's age (R) = x

R = x

Eva is 2 years older

Eva's age (E) = x + 2

E = x + 2

Jack is twice Rosie’s age

Jack's age (J) = 2x

J = 2x

B)

R + E + J = 42

x + (x + 2) + (2x) = 42

x + x + 2 + 2x = 42

4x + 2 = 42

4x = 42 - 2

4x = 40

\(x = \frac{40}{4} \\\\x = 10\)

Rosie is 10 years old

The quadratic equation y = x² - 2x - 3 have ordered points at (0, -3), (2, -3), (-2, 5) and (4, 5)

An equation is an expression composed of variables and numbers linked together by mathematical operations.

Quadratic equation is a polynomial that have a degree of 2. The degree of a polynomial is the highest exponent of the variables.

Given that:

y = x² - 2x - 3

When x = 0; y = (0)² - 2(0) - 3 = -3

When x = 2; y = (2)² - 2(2) - 3 = -3

When x = -2; y = (-2)² - 2(-2) - 3 = 5

When x = 4; y = (4)² - 2(4) - 3 = 5

The equation y = x² - 2x - 3 is a quadratic equation.

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Answer:

48 ounces

Step-by-step explanation:

x = small jar

y = large jar

x= 0.75y

36= 0.75y

y = 48

Answer:

the answer is 48 ounces  i took that on my test I'm positive

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

13 is visibly less then 6 meters, you cant cut any amount of rope with the same thickness that is 13 meters long from it.

Answer:

24

Step-by-step explanation:

so edge length means you count how many cubic units you can see when looking from length width and height

since the edge length is four, you multiply that by 3 (length width and height are all 4)  and that would be 12

since there are two you do two times 12= 24 (im not 100% sure cuz I haven't learned this yet)

Answer:

I ain't never seen 2 pretty bestfriends

Step-by-step explanation:

Adding two numbers combines their values

Subtracting one number from another finds the difference between the two values

Multiplying two numbers gives the product of their values

Dividing one number by another gives the quotient of their values

By performing the same operations on both sides, to maintain the balance and validity of the equation.

Arithmetic Operations with Whole Numbers, Integers, Fractions, and Decimals:

1. Addition: Adding two numbers combines their values. For example,

2 + 3 = 5.

This operation is commutative, meaning the order of numbers doesn't affect the result.

2. Subtraction: Subtracting one number from another finds the difference between the two values. For example,

5 - 3 = 2.

This operation is not commutative since changing the order of numbers will yield a different result.

3. Multiplication: Multiplying two numbers gives the product of their values.

For example, 2 * 3 = 6.

This operation is commutative.

4. Division: Dividing one number by another gives the quotient of their values. For example,

6 / 2 = 3.

Division is not commutative, and it's important to note that division by zero is undefined.

When solving equations, what is done to one side of the equation must also be done to the other side. This is because an equation represents a balance or equality between two expressions. The goal is to isolate the variable on one side of the equation and keep the equation balanced.

By performing the same operation on both sides of the equation, maintain equality. If  only performed an operation on one side, the equation would become unbalanced, and the equality would be lost.

For example, let's solve the equation 2x + 5 = 11 for x:

1. Start with the equation:

2x + 5 = 11.

2. To isolate the term with x, subtract 5 from both sides:

2x + 5 - 5 = 11 - 5.

  This simplifies to:

2x = 6.

3. Finally, divide both sides by 2 to solve for x:

(2x) / 2 = 6 / 2.

  This gives the solution:

x = 3.

If only subtracted 5 from one side of the equation, the equality would be broken, and the solution would be incorrect. By performing the same operations on both sides, maintain the balance and validity of the equation.

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Answer:

1,2,4,5

Step-by-step explanation:

Answer:

line DB, H, and D

Step-by-step explanation:

Answer:

-1/30

Step-by-step explanation:

find the lcm of 10 and 15

then solve it

The value of x , y and z in the parallel line is 50 degrees.

When parallel lines are crossed by a transversal line, angle relationships are formed such as vertically opposite angles, alternate interior angles, alternate exterior angles, adjacent angles, corresponding angles etc.

Therefore, let's use the angle relationships to find the angle, x, y and z as follows:

Therefore,

x = 360 - 310(sum of angles in a point)

x = 50 degrees

Therefore,

x = y(alternate interior angles)

Alternate interior angles are congruent.

Hence,

y = 50 degrees

Therefore,

x = z(alternate interior angles)

z = 50 degrees.

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a. We cannot calculate the probability, because we do not know the shape of the distribution.

b. The mean and standard deviation of the sampling distribution of x are 12 and 0.0566.

c. The shape of the distribution described in part b is symmetrical.

d. The probability that a random sample of 50 cans produces a sample mean amount of 11.9 ounces or less is 0.0386.

We do not know the shape of the distribution, so we cannot calculate the probability that a single randomly selected can contains 11.9 ounces or less. The question given have not told us that the distribution of individual cans was normal, and we cannot assume it is so; therefore, we cannot calculate its probability.

As given information the mean μx = 12.

And standard deviation σx = σ / √n = 0.4 / √50 = 0.566.

The shape of the distribution described in part b is symmetrical, because the two sides of the distribution are a mirror image of each other. Therefore, it is normal distribution.

Since the sample is large n = 50 and 50 > 30, so by CLT (Central Limit Theorem), the distribution of sample means is approximately normal N(12, 0.0566). So, P(x ≤ 11.9) = normalcdf (0, 11.9, 12, 0.0566) = 0.0386.

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The number of people who waited at least 6 minutes is given as follows:

50 people.

The height of each bin of the histogram represents the number of observations of the data-set in the desired interval.

The desired outcomes for this problem are given as follows:

Hence the number of people who waited at least 6 minutes is given as follows:

20 + 15 + 10 + 5 = 50 people.

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Answer:

1) The car can travel 623.3 km with 85 liters of petrol.

2) The car owner has to pay $303.8.

Step-by-step explanation:

1) The distance traveled with 85 L of petrol can be found as follows:

\( d = \frac{330 km}{45 L}*85 L = 623.3 km \)

Hence, the car can travel around 623 km with 85 liters of petrol.

2) If the liter of petrol costs $2.25, then the amount of petrol that the car owner has to pay to travel a distance of 990 km is:

\(x = \frac{\$ 2.25}{1 L}*\frac{45 L}{330 km}*990 km = \$ 303.8\)

Therefore, the car owner has to pay $303.8.

I hope it helps you!                      

In conclusion, the solution for this question is that Adriana's actual elevation is also approximately 13.3 meters above sea level.

How to solve?

To estimate Adriana's current elevation, we can simply find 80% of the total elevation gain and add it to her starting elevation:

Total elevation gain = 25 3/4 m - (-36.5 m) = 62.25 m

80% of 62.25 m = 0.8 * 62.25 m ≈ 49.8 m

Estimated current elevation = -36.5 m + 49.8 m ≈ 13.3 m

So we estimate that Adriana's current elevation is approximately 13.3 meters above sea level.

To find her actual elevation, we can use the same method but with the actual percentage of completion:

Actual elevation gain = 80% * (25 3/4 m - (-36.5 m)) = 0.8 * 62.25 m = 49.8 m

Actual elevation = -36.5 m + 49.8 m = 13.3 m

Therefore, Adriana's actual elevation is also approximately 13.3 meters above sea level.

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