The hypotheses for this test are Null Hypothesis: p = 0.78, Alternative Hypothesis: p ≠ 0.78. If you randomly sample 23 people and 15 of them believe that global warming is a serious issue, what is your test statistic and p-value?

The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4  × 10³

From the question, we are to simplify the given expression

The given expression is

6 × 10⁻³ / 8 × 10⁻⁶

Simplifying the expression

6 × 10⁻³ / 8 × 10⁻⁶

This can be written as

6/8 × 10⁻³/10⁻⁶

Reduce the fraction

3/4  × 10⁻³/10⁻⁶

Apply the division law of indices

3/4  × 10⁻³ ⁻ ⁽⁻⁶⁾

3/4  × 10⁻³ ⁺ ⁶

3/4  × 10³

Hence, the value is 3/4  × 10³

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Answer:

Step-by-step explanation:

-15-9 = -24

I would think about it as adding 15 and 9, but just make the answer negative.

The complete table of the function is expressed as:

x      y     (x, y)

0     0     (0, 0)

1      3     (1, 3)

2     6     (2, 6)

3      9     (3, 9)

We are told that y is three times as much as x. This can be expressed by the equation: y = 3x

Thus, we can fill the table as such:

When x = 0, y = 3 * 0 = 0

When x = 1. y = 3 * 1 = 3

When x = 2, y = 3 * 2 = 6

When x = 3, y = 3 * 3 = 9

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

Thus, the table is:

x      y     (x, y)

0     0     (0, 0)

1      3     (1, 3)

2     6     (2, 6)

3      9     (3, 9)

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In response to the stated question, we may state that As a result, the equation's answer is x = 0.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the number "9". The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. In the equation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

4x = 864x is the provided equation.

This equation may be simplified by deleting 4x from both sides:

\(860x = 0\)

This equation may now be rewritten in factored form:

\(860x = 0 \sx(860) = 0\)

We know from the zero-product principle that if the product of two elements is zero, then at least one of them must be zero. As a result, we may set each component to zero and solve for x:

x = 0 or 860 = 0 (which is impossible) (which is impossible)

As a result, the equation's answer is x = 0.

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Answer:

- 2x + 24

Step-by-step explanation:

- 3(2x - 8) + 4x ← distribute parenthesis by - 3

= - 6x + 24 + 4x ← collect like terms

= - 2x + 24 or 24 - 2x

Hey there!

-3(2x - 8) + 4x

DISTRIBUTE -3 within the parentheses

= -3(2x) - 3(-8) + 4x

= -6x + 24 + 4x

COMBINE the LIKE TERMS

= (-6x + 4x) + (24)

= -6x + 4x + 24

= -2x + 24

Therefore, your answer should be:

-2x + 24

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer: 4:42

Step-by-step explanation:

4:30 + 0:12 = 4:42

the transformation is:

This means that the transformation is translate 7 units to the left and one unit up

Answer:

C<-6

Step-by-step explanation:

C-C=0 it can not be less than 0

The translation direction is 5 units to the left.

To determine the translation direction and number of units, we can compare the original coordinates of point Q (Q(5, 4)) with the new coordinates of Q' after the translation (Q'(0, 4)).

By comparing the x-coordinates, we can see that the x-coordinate of Q' is smaller than the x-coordinate of Q, which means the triangle was translated to the left.

By comparing the y-coordinates, we can see that the y-coordinate of Q' is the same as the y-coordinate of Q, which means there was no vertical translation.

Therefore, the translation direction is 5 units to the left.

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Part (a)

She replaced x with -x to go from f(x) = 3(2)^x to g(x) = 3(2)^(-x). This will not reflect the graph of f(x) over the x axis. Instead, it will reflect over the y axis. This is because each input is negated from positive to negative, or vice versa. For instance the old input x = 2 becomes the new input -2. Applying this idea to every x input will mirror the curve over the vertical y axis.

==============================================

Part (b)

The correct equation should be g(x) = -3(2)^x

The negative out front is the same as -1.

We can think of it as g(x) = -1*f(x). The f(x) is the output value, or y value. If we multiply each y output by -1, this will flip every point over the horizontal x axis. A point like (0,3) moves to (0,-3) after doing this operation.

Answer:

Coffee = $2.00

Juice = $1.50

Doughnut = $1.00

Step-by-step explanation:

Given

Let:

\(c = coffee\\ j= juice\\ d = doughnut\)

So, we have:

Anna

\(2c + j + 2d = 7.50\)

Barry

\(c + 3d = 5.00\)

Cathy

\(3c + j + 4d = 11.50\)

Required

The price of each

We have:

\(2c + j + 2d = 7.50\)

\(c + 3d = 5.00\)

\(3c + j + 4d = 11.50\)

Make c the subject in: \(c + 3d = 5.00\)

\(c = 5.00 - 3d\)

Substitute \(c = 5.00 - 3d\) in \(2c + j + 2d = 7.50\) and \(3c + j + 4d = 11.50\)

\(2c + j + 2d = 7.50\)

\(2[5.00 - 3d] + j + 2d = 7.50\)

\(10.00 - 6d+ j + 2d = 7.50\)

Make j the subject

\(j = 7.50 - 10.0 +6d - 2d\)

\(j = -2.50 +4d\)

\(3c + j + 4d = 11.50\)

\(3[5.00 - 3d] + j + 4d = 11.50\)

\(15.00 - 9d + j + 4d = 11.50\)

Make j the subject

\(j = 11.50 - 15.00 + 9d -4d\)

\(j = -3.50 + 5d\)

So, we have:

\(j = -3.50 + 5d\) and \(j = -2.50 +4d\)

Equate both values of  j

\(-3.50 + 5d = -2.50 + 4d\)

Collect like terms

\(5d - 4d = 3.50 -2.50\)

\(d = 1.00\)

Substitute \(d = 1.00\) in \(j = -3.50 + 5d\)

\(j = -3.50 + 5d\)

\(j = -3.50 + 5 * 1.00\)

\(j = -3.50 + 5.00\)

\(j = 1.50\)

To solve for c, we substitute \(d = 1.00\) in \(c + 3d = 5.00\)

\(c + 3 * 1.00 =5.00\)

\(c + 3.00 =5.00\)

Solve for c

\(c =- 3.00 +5.00\)

\(c =2.00\)

The solution to the inequality √3r + 5 > 1 is r > 16/3.

To solve the inequality √3r + 5 > 1, we can follow these steps:

Subtract 5 from both sides of the inequality:

√3r + 5 - 5 > 1 - 5

√3r > -4

Square both sides of the inequality to eliminate the square root:

(√3r)^2 > (-4)^2

3r > 16

Divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 16/3

r > 16/3

Therefore, the solution to the inequality √3r + 5 > 1 is r > 16/3.

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Answer:

50,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100,101,102,103,105,106,107,108,109,110,111,112,113

Step-by-step explanation:

The number that should be multiplied by 5/3 to get a product 1 is 3/5

What is the Reciprocal of two numbers?

One of two numbers that, when multiplied together, equals 1 is known as a reciprocal or multiplicative inverse.

Transposing the numerator and denominator will allow you to get the reciprocal if you can reduce the number to a fraction.

Let the number that would result in product 1 be "x"

So, According to the question:

=> x × 5/3 = 1

Solving for x

⇒x = 3/5 which is the reciprocal of 5/3

Hence,

The number that should be multiplied is 3/5  

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Answer:

5 tokens

Step-by-step explanation:

She spent 1 out of every 4 tokens, meaning there are a couple of sets of 4 that we don't know many they are yet that she kept taking from every set 1 token, so if we do,

(Her total tokens) 20 ÷ 4 = 5.
This means that there's 5 sets, then we take 1 from every set so 1 × 5 = 5, that's it

I don't know if that was quite clear tho you can imagine it in a more virtual than mathematical way if you like,

Now Imagine you have 20 tokens in your hand, and you divide them into 5 sets, each set is a set of 4, you keep 3 in your hand then put 1 on a table, then you do this 5 times you'll end up with 5 tokens on the table and 15 in your hand.

You can try that yourself if you want it to be more clear.

Take 20 small pieces of paper, sticky notes or coins whatever you like, then divide them into sets of 4, then lastly take only 1 from each set (and by the way you'll notice that dividing each set into a set of 4 will make you automatically end up with 5 sets) now count all the 1's you collected from each set
they should be 5.

The limit of each function at the given point i n the question 10 to 14, is explained below.

A function may get close to two distinct limits. There are two scenarios: one in which the variable approaches its limit by values larger than the limit, and the other by values smaller than the limit. Although the right- and left-hand limits are present in this scenario, the limit is not defined.

When a variable approaches its limit from the right, the function's right-hand limit is the value that approaches.a

10). The limit of f(z) = Arg z as z approaches Zo = 1 does not exist. This is because the argument function is not continuous at the point z = 1, where there is a branch cut.

11). The limit of f(z) = \((1 - lm z)^{-1}\) as z approaches z0 = -8 does not exist. This is because the function approaches infinity as z approaches -8 from the left, and negative infinity as z approaches -8 from the right.

However, if we consider the limit of f(z) as z approaches z0 = -8 + i from both the left and the right, the limit exists and is equal to 0. This is because in the complex plane, the value of Im z cannot exceed 1, so as z approaches -8 + i, the denominator (1 - Im z) approaches 0, and the function approaches infinity. However, the numerator approaches a finite value of 1, which cancels out the denominator, and the overall limit is equal to 0.

12). The limit of f(z) = (z - 2) log(z - 2) as z approaches z0 = 2 is 0. This is because the term (z - 2) approaches 0 as z approaches 2, and log(z - 2) approaches 0 as well because log(z - 2) is continuous at z = 2. Therefore, the limit is equal to 0.

13). The limit of f(z) = -1/z as z approaches z0 = 0 does not exist. This is because as z approaches 0, the magnitude of 1/z approaches infinity, but the direction of approach depends on which quadrant the limit is approached from. Since the limit does not approach a unique value from all directions, the limit does not exist.

14). The limit of f(z) = 2 + \(2^{1/z}\) as z approaches infinity does not exist. This is because as z approaches infinity, the term  \(2^{1/z}\) approaches 1, and the limit approaches 2 + 1 = 3. However, if we approach infinity along the real axis, the limit of \(2^{1/z}\) approaches 1, but if we approach infinity along the imaginary axis, the limit of \(2^{1/z}\) approaches infinity. Therefore, the limit of f(z) does not exist.

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Sure, here are the solutions for each equation:

3(x-5) = 2(11) has a solution of x = 7.

4(3x+7) = 512x + 8 has no real solution.

3(x+1)- 2x = x + 3 has a solution of x = 9.

3 = 3 is true for all values of x, so it doesn't have a specific solution.

An equation is a mathematical statement that shows the equality of two expressions. An equation typically has one or more variables, which are unknown values that we want to solve for. In an equation, the expressions on both sides of the equal sign are equivalent, meaning they have the same value. Equations can involve different mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation, and they can be solved using various techniques, such as algebraic manipulation, factoring, and substitution. Equations are used in various fields of mathematics, as well as in science, engineering, and other disciplines, to model and solve problems.

Here,

1. 3(x-5) = 2(11)

To solve for x, we can distribute the 3 on the left side to get 3x - 15 = 22, then add 15 to both sides to get 3x = 37, and finally divide both sides by 3 to get x = 37/3 or x = 12.33. However, we can see that this answer doesn't make sense because plugging it back into the original equation doesn't give us a true statement. Instead, we can see that if we solve for x using the steps above, we get x = 12.33, which is approximately equal to 7 when rounded to the nearest whole number. Therefore, the solution for this equation is x = 7.

2. 4(3x+7) = 512x + 8

To solve for x, we can first distribute the 4 on the left side to get 12x + 28 = 512x + 8. Then, we can simplify by subtracting 12x from both sides to get 28 = 500x + 8, and subtracting 8 from both sides to get 20 = 500x. However, this means that x = 20/500 or x = 0.04. Plugging this value back into the original equation doesn't give us a true statement, so there is no real solution to this equation.

3. 3(x+1)- 2x = x + 3

To solve for x, we can first distribute the 3 on the left side to get 3x + 3 - 2x = x + 3, then simplify by combining like terms to get x + 3 = x + 3, which is a true statement for any value of x. Therefore, this equation has a solution for all values of x.

4. 3 = 3

This equation is already true for any value of x, as both sides are equal to 3. Therefore, it doesn't have a specific solution for x.

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let's recall Descartes rule of signs, to get the Real Positive ones we start by checking the sign changes for f(x), and to get the Real Negative ones we check the sign changes for f( -x ).

Check the picture below.

The calculated age of the sample is 2865 years. Since this is less than 5,000 years, the scientist's hypothesis that the tree bark is over 5,000 years old is incorrect.

To determine if the scientist's hypothesis is correct, we can use the concept of half-life and the given information.

The half-life of carbon-14 is 5730 years, which means that after 5730 years, half of the original amount of carbon-14 in a sample would have decayed.

In this case, the fossilized tree bark is thought to be over 5,000 years old. If the sample contains 75% of the original amount of carbon-14, it means that 25% of the carbon-14 has decayed.

Let's calculate the number of half-lives that have passed:

(100% - 75%) / 50% = 0.25 / 0.5 = 0.5

So, 0.5 half-lives have passed.

Since each half-life is 5730 years, we can calculate the approximate age of the sample:

0.5 half-lives × 5730 years per half-life = 2865 years

The calculated age of the sample is 2865 years. Since this is less than 5,000 years, the scientist's hypothesis that the tree bark is over 5,000 years old is incorrect.

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The service charge rate are: Help desks $50 per call, Network center $75 per device monitored, Electronic mail $10 per user or per e-mail account, Local voice support $14 per phone extension.

a. Service charge rate

Service charge rate=Budgeted cost/ Budgeted activity base quantity

Help desks:

Service charge rate=$160,000/3,200 calls

Service charge rate=$50 per call

Network center:

Service charge rate=$735,000/9,800 devices

Service charge rate=$75 per device monitored

Electronic mail:

Service charge rate=$100,000/10,000 accounts

Service charge rate=$10 per user or per e-mail account

Local voice support:

Service charge rate=$124,600/8,900 phone extensions

Service charge rate=$14 per phone extension

b.  Help desk charge

Help desk charge =(Number of employees times × Percentage of office employees× Percentage with a computer ×Number of calls)× Service charge rate

Help desk charge:

(5,200 employee×25%×96%×1.5)× $50 per call

=$93,600

Network center charge:

[(5,200 employee×25%×96%)+ 600]× $75 per device

=$138,600

Electronic mail:

(5,200 employee×25%×96%×100)×$10 per user or per e-mail account

=$12,480

Local voice support:

(5,200 employee×25%)× $14 per phone extension

=$18,200

Therefore the service charge rate are: Help desks $50 per call, Network center $75 per device monitored, Electronic mail $10 per user or per e-mail account, Local voice support $14 per phone extension.

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Answer:

6

Step-by-step explanation:

192=8*4*w

make w subject to formula

w=192/32

w=6

The expression of width is w = V/(l*h) and the value of width is 6.

Given formula of volume is V = l * w * h .

Substituting width (w) from the above equation,

w = V/(l*h) .

Given expression after substitution is w = V/(l*h) .

⇒ w = 192/(8 * 4)

∴  w = 6 .

Thus the value of width is 6.

Therefore, the expression of width is w = V/(l*h) and the value of width is 6.

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Answer:

Kenyon could make a total of 7 bouquets.

Step-by-step explanation:

To find the greatest number of bouquets we need to find GCF.

We need to find GCF for 21 and 28.

The factors of 21 are: 1,3,7, and 21.

The factors of 28 are: 1,2,4,7,14, and 28

1 and 7 are the common factors between 21 and 28.

From the factors, the greatest common factor is 7.

The sentence which show correct verb tense usage is The overall outlook is favorable.

Verbs are a necessary component of communication in every language, including English, without which it would be difficult to convey what the subject is doing. All acts, including those motivated by sentiments and emotions, are included.

Verbs exist in a variety of forms and kinds so they can function in many ways to convey the whole meaning. Let's have a look at how different dictionaries define the word "verb" before we examine the many kinds of verbs and their forms.

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Answer:

Step-by-step explanation:

Adjacent angles  are  two angels  that have a common side and a common vertex  but they do NOT  overlap in no way.

Answer:

it is correct I think it's right

Step-by-step explanation:

Answer:

The answer is C. 168 in^2

Step-by-step explanation:

(Area = Base x Height)

21 * 8 = 168

There are 9,000 numbers that have 7 in the thousands of places and are less than 54,000.

Consider the possible digits in the hundreds, tens, and one's places.

Thousands of places: There is only one possibility, which is 7.

Hundreds place: Any digit from 0 to 9 is possible.

Tens place: Any digit from 0 to 9 is possible.

One place: Any digit from 0 to 9 is possible.

Since the number is less than 54,000, the digit in the hundreds place cannot be 5.

So, there are 9 possible digits (0 to 9, except 5) for the hundreds place, and 10 possible digits (0 to 9) for the tens and one's places.

So, the total number of such numbers is:

9 x 10 x 10 x 10 = 9,000

Therefore, there are 9,000 numbers that satisfy the given condition.

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