40 times 30 equals whatttttttt

How can a telephone survey of 1000 randomly selected US adults provide evidence that more than 1 in 4 US adults believe in ghosts?The survey results provide evidence that more than one in four US adults believe in ghosts. The telephone survey was conducted on a random sample of 1000 US adults. The survey found that 31 percent of US adults believed in ghosts.

To determine whether more than one in four US adults believe in ghosts, the null and alternative hypotheses will be tested.The null hypothesis in this scenario is that less than or equal to 25% of US adults believe in ghosts. The alternative hypothesis is that more than 25% of US adults believe in ghosts.Therefore, the level of significance (α) will be determined.

The α level is typically set to 0.05. This means that the likelihood of making a type I error is 5%. Then, the z-score will be calculated as follows:z = (0.31 - 0.25) / sqrt[(0.25 x 0.75) / 1000]z = 2.83The obtained z-score will be compared to the critical z-value using a z-distribution table. The critical z-value is 1.96. Since the obtained z-score is greater than the critical z-value, the null hypothesis will be rejected. Therefore, there is evidence to suggest that more than one in four US adults believe in ghosts.

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The answer to the question is that there are no points on the curve x3 + y3 = 9 in the xy-plane that have a tangent line that is horizontal.

The equation x3 + y3 = 9 is a cubic equation and is a non-linear equation. As such, it does not have any tangent lines that are horizontal. A tangent line is a line that just touches a point on a curve and has the same slope as the curve at that point. Since the equation is non-linear, the slope of the curve changes at each point, meaning that there cannot be any horizontal tangent lines.

To calculate the slope of the curve at any point (x,y), we use the formula m = (dy/dx) or m = 3*(x2/y2). At these points, the slope of the curve will not be zero, meaning that there is no horizontal tangent line at any point on the curve.

Therefore, the answer to the question is that there are no points on the curve x3 + y3 = 9 in the xy-plane that have a tangent line that is horizontal.

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Answer:

Complete explanation is in the picture.

Step-by-step explanation:

Answer:

Answer is 71.95°

Step-by-step explanation:

Cosine formula is

a^2=b^2+c^2-2bc(cosA)

cos A =b^2+c^2-a^2/2bc

if a= 119,b=94,c=173

cos A=94^2+173^2-119^2/2(94*173)

=8836+29,929-14,161/2(16,262)

=38765-14,161/32,524

=24604/32,524

=0.7564

cos A=0.7564

cos^-1=40.85°.that's for angle A.

Using the same formula

B=31.1°

C=180-(40.85+31.1)

C=180-71.95

C=108.05

Since angle on a straight line is 180

therefore x is 71.95

Also the sum of angles A and B

The time taken by the diver to hit the water is approximately 1.5 seconds.

To find out how long it will take for the diver to hit the water, we need to determine the value of t when h(t) equals zero.

The given equation is:

h(t) = -16t^2 + 8t + 24

Setting h(t) to zero, we have:

0 = -16t^2 + 8t + 24

To solve this quadratic equation, we can use the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

For this equation, a = -16, b = 8, and c = 24.

Substituting these values into the quadratic formula, we get:

t = (-8 ± √(8^2 - 4(-16)(24))) / (2(-16))

Simplifying further:

t = (-8 ± √(64 + 1536)) / (-32)

t = (-8 ± √1600) / (-32)

t = (-8 ± 40) / (-32)

Now we have two possible solutions:

t₁ = (-8 + 40) / (-32)

t₂ = (-8 - 40) / (-32)

Calculating each value separately:

t₁ = 32 / -32

t₁ = -1

t₂ = -48 / -32

t₂ = 1.5

Since time cannot be negative in this context, we discard the negative solution.

It will take the diver approximately 1.5 seconds to hit the water.

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The probability is the same for each outcome since they are equally likely.

Let's assume there are n gift cards in total in the bag. When a student selects two gift cards without replacement, the total number of possible outcomes is the number of ways to choose 2 cards out of n, which can be calculated using the combination formula:

C(n, 2) = n! / (2! * (n - 2)!)

Each of these outcomes has an equal probability of being selected since the gift cards were mixed well, and the selection is random

The probability of each outcome in the sample space can be calculated by dividing 1 by the total number of possible outcomes:

P(outcome) = 1 / C(n, 2).

For example, if there are 4 gift cards in the bag, the total number of possible outcomes is C(4, 2) = 6. Therefore, the probability of each outcome in this case would be 1/6.

In general, the probability of each outcome in the sample space for the random selection of two gift cards is 1 divided by the total number of possible outcomes, ensuring that all outcomes have an equal chance of occurring.

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This matrix is not symmetric, skew-symmetric, or orthogonal and the eigenvalues of the matrix are: λ = (1 + √65) / 2 and λ = (1 - √65) / 2

Symmetric matrices are defined as matrices that are equal to their transpose, meaning that each element in the matrix is equal to the element in the corresponding position of the transpose.

A skew-symmetric matrix is a matrix whose transpose is the negative of itself. Orthogonal matrices are matrices whose inverse is equal to its transpose, meaning that the product of the matrix and its transpose is equal to the identity matrix.

To determine if it is orthogonal, we can check if it satisfies the condition for orthogonality, which is that its transpose is equal to its inverse.

The transpose of the matrix [1 4 -4 1] is:

[1 -4 4 1]

To find the inverse, we need to calculate the determinant of the matrix and the adjugate of the matrix. The determinant is:

(1)(1) - (4)(-4) = 1 + 16 = 17

The adjugate is:

[1 -4 -4 1]

So, the inverse of the matrix is:

[1/17 -4/17 -4/17 1/17]

The transpose of the matrix is not equal to its inverse, so this matrix is not orthogonal.

The spectrum of this matrix can be found by finding its eigenvalues. To do this, we solve for the values of λ that satisfy the characteristic equation:

det (A - λI) = 0

where A is the matrix [1 4 -4 1] and I is the identity matrix.

The determinant of A - λI is:

[1-λ 4 -4 1-λ]

[(1-λ)(1-λ) - (4)(-4) = (1-λ)^2 + 16]

So, we need to find the values of λ that satisfy:

(1-λ)^2 + 16 = 0

This equation can be solved using the quadratic formula:

λ = (-b ± √(b^2 - 4ac)) / 2a

where a = 1, b = -1, and c = -16.

So, λ = (-(-1) ± √((-1)^2 - 4(1)(-16))) / 2(1)

λ = (1 ± √(1 + 64)) / 2

λ = (1 ± √65) / 2

So, the eigenvalues of the matrix are:

λ = (1 + √65) / 2 and λ = (1 - √65) / 2

These are the eigenvalues of the matrix and make up its spectrum.

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A shape must cross a line in order to be reflected.

Because a reflection across BA will map ABC to ABD, the true statement is (c).

A translation only moves a shape up, down, or from side to side; it has no effect on how it appears. An illustration of a transformation is translation. A transformation is a technique for moving or repositioning a shape.

here, we have,

Sides AC and AD of both triangles are congruent

Sides BD and BC of both triangles are congruent

The triangles share a common side AB

This means that a reflection over line AB will map both triangles.

Hence, the true statement is (c)

The complete question is given below.

Is there a rigid transformation that maps triangle ABC to triangle ABD? If so, which transformation?

yes, because a translation to the right will map ΔABC to ΔABD

yes, because a rotation about point B will map ΔABC to ΔABD

yes, because a reflection across BA will map ΔABC to ΔABD

no, because no rigid transformation will map ΔABC to ΔABD

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Answer: SAS

Step-by-step explanation: The angles sides are congruent based on the diagram

Answer:

The second graph is not a function of x

Step-by-step explanation:

Note : -

1st graph : f(x) = secant inverse x

3rd graph : f(x) = c (constant function)

4th graph : It is a function which is +ve

Answer: x = 7

Step-by-step explanation: Since I don't know the full question, I only knwo the only to 5(x-3)=2x+6. How you solve it is to isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x=7

Step-by-step explanation:

distribute 5 to the x and -3

5x-15=2x+6

then you try to get x by itself

I subtracted 2x from 5x and then I got

3x-15=6

then get x by itself still, I added 15 to both sides and I got

3x=21 Then divide and you get

x=7

Hope this helps

If x and y are independent, then the standard deviation of x-y is 17.5.

The correct option is (b).

If X and Y are independent random variables, the standard deviation of their difference is given by the square root of the sum of their variances.

The standard deviation of x is 15 and the standard deviation of y is 9, we can calculate the variance of x as the square of its standard deviation:

Variance(x) =\((15)^2 = 225\), and the variance of y as \((9)^2 = 81\).

Now, applying the property mentioned earlier, we have:

Standard deviation(x - y) = sqrt(Variance(x) + Variance(y)) = sqrt(225 + 81) = sqrt(306) ≈ 17.49

Rounding the result to one decimal place, we find that the approximate standard deviation of x - y is 17.5.

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Answer:

\(Area = \frac{3}{4} cm^2\)

Step-by-step explanation:

Given

\(Length =\frac{1}{2}\ cm\)

\(Width = 1\frac{1}{2}\ cm\)

Required

Determine the Area

Area is calculated as follows

\(Area = Length * Width\)

Substitute values for Length and Width

\(Area = \frac{1}{2} * 1\frac{1}{2}\)

Convert mixed fraction

\(Area = \frac{1}{2} * \frac{3}{2}\)

\(Area = \frac{3}{4}\)

Hence, the area is

\(Area = \frac{3}{4} cm^2\)

Answer:

12

Step-by-step explanation:

I really don't know but I am saying 12 because December is the 12 month of the year.

Let me know if I am correct.

Have an awesome day! :)

The probability of the event happening is 41/65, which can be simplified but cannot be further reduced without additional information.

The total probability is universally 1 so the probability of happening is,

Probability of event happening = 1 - Probability of event not happening.

In this case, the probability of event not happening is 24/65. Substituting this value into the formula, we get,

Probability of event happening = 1 - 24/65

To simplify this fraction, we can find a common denominator of 65,

Probability of event happening = (65/65) - (24/65)

This simplifies to,

Probability of event happening = 41/65

Therefore, the probability of the event happening is 41/65.

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Answer:

B=310 because..well just do the math.

Step-by-step explanation:

Answer:

x = 4.8

Step-by-step explanation:

6/2 =3

x² = 3² + 3.8²

x² = 9 + 14.44 = 23.44

x = 4.84

Answer:

y = -3/4x - 5

Slope: -3/4

y-intercept: -5

The percentage of 10-year-olds who cannot go on the ride is approximately 43.32%.

To find the percent of 10 year olds who cannot go on the ride, we need to calculate the area under the normal distribution curve below the height requirement of 54 inches.

First, we need to standardize the height requirement using the formula z = (x - μ) / σ, where x is the height requirement, μ is the mean, and σ is the standard deviation.

Plugging in the values, we get z = (54 - 55) / 6 = -0.17.

Next, we need to find the cumulative probability associated with the z-score of -0.17. We can use a standard normal distribution table or a calculator to find this value.

Using a standard normal distribution table, we find that the cumulative probability associated with a z-score of -0.17 is approximately 0.4332.

This means that approximately 43.32% of 10-year-olds cannot go on this ride, since their height is below the requirement of 54 inches.

The percentage of 10-year-olds who cannot go on the ride is approximately 43.32%.

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Answer: will be D

Step-by-step explanation:

Answer:

a.) Total amount spent on gasoline and oil = $ ( 3.95g + 4.45c )

b.) Total amount spent by Maria = $ 74.02

Step-by-step explanation:

As given,

Cost of gasoline = $ 3.95 gallon

Cost of oil per can = $ 4.45

Also given,

Maria bought g gallons of gasoline and c cans of oil

⇒ Total cost of g gallons of gasoline = g×3.95 = $3.95g

   Total cost of c cans of oil  = c×4.45 = $4.45c

Now,

a.)

Total amount spent on gasoline and oil = $ ( 3.95g + 4.45c )

b.)

As given ,

Maria buy gasoline , g = 8.6 gallons

Maria buy cans of oil , c = 6

So,

Total amount spent = $ 3.95(8.6) + 4.45(9)

                                = $ 33.97 + 40.05 = $ 74.02

⇒Total amount spent by Maria = $ 74.02

The range of the test scores in Mr. Miller's math class is 42.

Mathematically, the range refers to the difference between the highest value and the lowest value in a data set.

The range is computed by subtraction of the lowest value from the highest value.

Mr. Miller can use the range to measure the spread or dispersion of the test scores.

Test Scores:

52, 61, 69, 76, 82, 84, 85, 90, 94

Highest score = 94

Lowest score = 52

Range = 42 (94 - 52)

Thus, we can conclude that for the math students in Mr. Miller's class, the range of their test scores is 42.

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Answer:

1) -2n + 22

2) 9x - 2

Step-by-step explanation:

1. -2(n-9)+4

-2n + 18 + 4

-2n + 22

2. 6x - (2-3x)

6x - 2 + 3x

9x - 2

Answer:

Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"

The dog drinks 112 ounces, or 14 cups, or 7 pints, or 3.5 quarts of water per week.

The dog drinks 16 oz of water every day, so in a week (7 days), the dog will drink:

16 oz/day × 7 days/week = 112 oz/week

To convert ounces to cups, we divide by 8 (since there are 8 fluid ounces in a cup):

112 oz/week ÷ 8 oz/cup = 14 cups/week

To convert ounces to pints, we divide by 16 (since there are 16 fluid ounces in a pint):

112 oz/week ÷ 16 oz/pint = 7 pints/week

To convert ounces to quarts, we divide by 32 (since there are 32 fluid ounces in a quart):

112 oz/week ÷ 32 oz/quart = 3.5 quarts/week

Therefore, the dog drinks 112 ounces, or 14 cups, or 7 pints, or 3.5 quarts of water per week.

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Answer:

2.2+3(3.4)

=2.2+10.2

=12.4

Step-by-step explanation:

The probability of A and B occurring simultaneously (P(A ∩ B)) is c. 0.00.

In this scenario, A and B are stated to be mutually exclusive events. Mutually exclusive events are events that cannot occur at the same time. This means that if event A happens, event B cannot happen, and vice versa.

Given that P(A) = 0.4 and P(B) = 0.5, we can deduce that the probability of A occurring is 0.4 and the probability of B occurring is 0.5. Since A and B are mutually exclusive, their intersection (A ∩ B) would be an empty set, meaning no outcomes can be shared between the two events. Therefore, the probability of A and B occurring simultaneously, P(A ∩ B), would be 0.

To further clarify, let's consider an example: Suppose event A represents flipping a coin and getting heads, and event B represents flipping the same coin and getting tails. Since getting heads and getting tails are mutually exclusive outcomes, the intersection of events A and B would be empty. Therefore, the probability of getting both heads and tails in the same coin flip is 0.

In this case, since events A and B are mutually exclusive, the probability of their intersection, P(A ∩ B), is 0.

Therefore, the correct answer is: c. 0.00

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Answer:

a = 27

Step-by-step explanation:

( √24 )² = \(\frac{8}{9}\) a

a = 24 ÷ \(\frac{8}{9}\) = \(\frac{24}{1}\) × \(\frac{9}{8}\) = 27