Choose the graph of the following function:

f(x)=-1/3 cos(2x)

The critical value Za/2 is approximately 1.44 (rounded to two decimal places).

To find the critical value Za/2 that corresponds to a given confidence level, we need to determine the value of a/2 and consult the standard normal distribution table or use a statistical software.

For an 85% confidence level, the corresponding alpha (α) value is 1 - confidence level = 1 - 0.85 = 0.15.

Since we have a two-tailed test, we divide the alpha value by 2: a/2 = 0.15 / 2 = 0.075.

To find the critical value Za/2, we look up the area (probability) of 0.075 in the standard normal distribution table.

what is distribution?

In statistics and probability theory, a distribution refers to the mathematical function or model that describes the likelihood or probability of different outcomes or values of a random variable.

A distribution provides information about how data or observations are spread or distributed across different values. It characterizes the behavior or pattern of a set of data and allows us to understand the probabilities associated with various outcomes.

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Answer:

-a^5x^3

Step-by-step explanation:

hope this helps! :)

Let's separate this out and multiply the coefficients first, then the variables.

2 1/3 = 7/3

7/3 * -3/7 = -1

(a^2)(x)(a^3)(x^2)

When we multiply terms with exponents, we ADD the exponents.

(a^5)(x^3)

Answer: (-1)(a^5)(x^3)

Coefficient: -1

Hope this helps!

The pentagonal prism with volume 360 in³ and height of 3 inches have a base area of 120 in²

A pentagonal prism is a prism that has two pentagonal bases like top and bottom and five rectangular sides.

Given that, the volume of a pentagonal prism is 360 in³, with a height of 3 inches,

We need to find the area of the base,

We know that, the volume of a pentagonal prism is =

V = 1/4 √(5(5+2√5)·a²h

Where a is the base edge and h is the height,

360 = 1/4·3 √(5(5+2√5)·a²

1/4·√(5(5+2√5)·a² = 120

Since, the base of a pentagonal prism is a pentagon, and the area of a pentagon = 1/4 √(5(5+2√5)·a²

And we have,

1/4 √(5(5+2√5)·a² = 120

Therefore, the base area is 120 in²

Hence, the pentagonal prism with volume 360 in³ and height of 3 inches have a base area of 120 in²

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Answer:

c

Step-by-step explanation:

because this is very easy and i got it right on the test got it right on edge

Answer:

Multiply the denominator of the fractional part by the whole number, and add the result to the numerator.

Step-by-step explanation:

You can add or subtract mixed numbers by turning them to improper fractions first. Improper fractions are fractions where the numerator is greater than the denominator.

Answer:

Step-by-step explanation:

(7/5 , 7/5)

Answer:

2y = -3x + 7

Step-by-step explanation:

(3, -1) and (-1, 5)

Slope:

m=(y2-y1)/(x2-x1)

m=(5+1)/(-1-3)

m=6/(-4)

m= -3/2

Slope-intercept:

y - y1 = m(x - x1)

y + 1 = -3/2(x - 3)

y + 1 = -3/2x + 9/2

y = -3/2x + 7/2

Standard form:

y = -3/2x + 7/2

3x + 2y = 7

2y = -3x + 7

Salma can therefore rent the vehicle for a maximum of 5 days and go 275 miles. When A rental car company charges $22. 50 per day to rent a car and $0. 10 for every mile driven. Salma wants to rent a car, knowing that: she plans to drive 275 miles. She has at most $140 to spend.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Given

Although your question is incomplete, you might be referring to the following in its entirety: Renting a car from a rental car agency costs $22.50 per day plus $0.10 every mile driven. Salma wants to rent a car because she knows she will go 275 kilometres. She can only spend up to $140. The number of days Salma can rent the car for while staying within her budget can be calculated by writing and solving an inequality.

The formula that solves this issue is:

Let x represent how many days Salma can afford to rent the automobile for.

Inequality

22.5x + 0.10(275) ≤ 140

22.5x + 2.75 ≤ 140

22.5x ≤ 140 - 2.75

22.5x ≤ 137.25

x ≤ 5

automobile rental on a daily basis get x <= 5

Salma can therefore rent the vehicle for a maximum of 5 days and go 275 miles.

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Answer:

21

Step-by-step explanation:

Answer:

x=175

Step-by-step explanation:

Answer:

Solve for x by simplifying both sides of the equation, then isolating the variable.

x=175

Step-by-step explanation:

The histogram of the sale price of houses appears to be skewed to the right, indicating that the majority of sale prices are located on the lower end of the price range. The majority of sale prices seem to be located between $100,000 and $400,000, with very few sale prices above $600,000.

An exponential distribution would not be a reasonable fit for the sale price of homes because it assumes a continuous variable with a constant rate of change. The sale price of homes is not a continuous variable, as it is determined by factors such as location, condition, and size. A normal distribution could potentially be a reasonable fit if the data was centered around a mean and did not have any significant outliers. However, as the histogram shows a skewed distribution, a gamma distribution may be a more appropriate fit as it allows for skewness in the data.

The scatterplot of first floor area vs. sale price shows a positive relationship between the two variables. As the first floor area increases, the sale price tends to increase as well. However, there appears to be a lot of variability in the sale price as the area increases. This suggests that other factors may be influencing the sale price of homes, in addition to the size of the first floor area.

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Step-by-step explanation:

-4-(3)=-7

step two

3+(-5)=-2

step three

4+6=10

step four

-5-9=-14

step five

-4+(-9)=-13

Answer:

a) -4 - ( 3) = - 7

b) 3 + ( -5) = 3 - 5 = -2

c) 4 + 6 = 10

d) -5 -9 = - 14

e) -4 + ( -9) = -4 -9 = - 13...

Using the given natural abundances of titanium-46, titanium-47, and titanium-48, we find that the average atomic mass of titanium on this planet is approximately 46.4 amu.

To calculate the average atomic mass of titanium on another planet, we need to consider the natural abundances of its isotopes. The average atomic mass is calculated by multiplying the mass of each isotope by its relative abundance and summing up these values.

Let's assume that the three isotopes of titanium on this planet are denoted as titanium-46, titanium-47, and titanium-48. The natural abundances of these isotopes are given as follows:

Isotope Natural Abundance

Titanium-46 70%

Titanium-47 20%

Titanium-48 10%

To calculate the average atomic mass, we multiply the mass of each isotope by its relative abundance and sum up these values. The atomic masses of titanium-46, titanium-47, and titanium-48 are approximately 46.0 amu, 47.0 amu, and 48.0 amu, respectively.

Average Atomic Mass of Titanium:

(46.0amu×70%)+(47.0amu×20%)+(48.0amu×10%)

=(32.2amu)+(9.4amu)+(4.8amu)

=46.4amu

Therefore, the average atomic mass of titanium on this planet is approximately 46.4 atomic mass units (amu).

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Answer: -5,-1

Step-by-step explanation:

Answer:

-5,-1

Step-by-step explanation:

Answer:

D)

Step-by-step explanation:

a number: n

difference of 17 and a number: 17 - n

4 times the difference of 17 and a number: 4(17 - n)

4 times the difference of 17 and a number is 84: 4(17 - n) = 84

Answer:

5: A

6: B

Step-by-step explanation:

Answer:

Yes there is a line

y=14x-8

Step-by-step explanation:

use slope formula and incorporate the slope into the coordinates

Answer:

\(y = 14x - 8\)

Step-by-step explanation:

. Using euclid postulate,

" any two points can be on a line".

So yes a line can be formed

Use the linear equation in ppont-slope form

\(y = mx + b\)

where m is slope, b is the y intercept.

We can find the slope of the points first.

\(48 - 6 = 42\)

\(4 - 1 = 3\)

\( \frac{42}{3} = 14\)

Our slope is 14.

We can plug in any two coordinates to find b.

\(14(1) - b = 6\)

\( - b = - 8\)

So our equation is

\(y = 14x - 8\)

The present value of $2,500 per year for 10 years discounted back to the present at 7 percent is $17,462.03.

To calculate the present value of an ordinary annuity, we can use the formula:

PV = A * [1 - (1 + r)^(-n)] / r,

where PV is the present value, A is the annual payment, r is the discount rate per period, and n is the number of periods.

In this case, the annual payment is $2,500, the discount rate is 7 percent (or 0.07 as a decimal), and the number of periods is 10 years. Plugging in these values into the formula, we can calculate the present value:

PV = $2,500 * [1 - (1 + 0.07)^(-10)] / 0.07 ≈ $17,462.03.

Therefore, the present value of $2,500 per year for 10 years discounted back to the present at 7 percent is approximately $17,462.03. This represents the amount of money needed in the present to be equivalent to receiving $2,500 per year for 10 years with a 7 percent discount rate.

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Answer: answer for what?

Step-by-step explanation: oh I see it appeared iN wrong catogory I’m browsing History sorry

Answer:

1,1,1,1

Step-by-step explanation:

I believe this is right

0.40824 kg.

To calculate the standard deviation of the process if the manufacturer wants to implement six sigma quality and meet the design specification, you must use the population mean (8.00 kg) and the acceptable weight range of the product (7.40 kg - 8.60 kg).

Using the formula for population standard deviation, you can calculate the standard deviation as follows:
σ = √((8.60 - 8.00)2 + (7.40 - 8.00)2) / 2
= 0.40824
Therefore, the standard deviation for the process to meet the design specification with six sigma quality is 0.40824 kg.

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Answer:

$1,202

Step-by-step explanation:

There ya go

The volume of a cylinder is given below:

Here, r=7 feet and h=4 feet. So, the volume of the cylinder is:

Thus, the volume of the cylinder is 616 square feet.

The probability that the card you select is a 3

a) as a reduced fraction : 1/13

b) rounded to the nearest thousandth: 0.077
c) rounded to the nearest tenth of a percent: 7.7%

We know that there are 52 cards in a standard deck, subdivided into four categories namely spade, clubs, hearts, and diamonds. Each suite has thirteen cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen and king.

This means there are four 3's in a deck of 52 cards.

Let A: selecting a card 3

n(A) = 4

A sample space n(S) = 52

So, the probability that the card you select is a 3:

p(A) = n(A)/n(S)

p(A) = 4/52

p(A) = 1/13

p(A) = 0.07692

rounding to the nearest thousandth.

p(A) = 0.077

rounding to the nearest tenth of a percent

p(A) = 7.7%

Therefore, the required probability is 1/13 (as a reduced fraction) or 0.077 or 7.7%

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\(4-\cfrac{2}{3}b+\cfrac{1}{4}a~~ + ~~\cfrac{1}{2}a+\cfrac{1}{6}b-7\implies 4-\cfrac{2b}{3}+\cfrac{a}{4}~~ + ~~\cfrac{a}{2}+\cfrac{b}{6}-7 \\\\\\ \left( \cfrac{a}{4}+\cfrac{a}{2} \right)+\left(-\cfrac{2b}{3} + \cfrac{b}{6}\right)+(4-7)\implies \left( \cfrac{a}{4}+\cfrac{a}{2} \right)+\left( \cfrac{b}{6}-\cfrac{2b}{3} \right)+(4-7)\)

\(\left( \cfrac{(1)a+(2)a}{\underset{\textit{using this LCD}}{4}} \right)+\left( \cfrac{(1)b-(2)2b}{\underset{\textit{using this LCD}}{6}} \right)+(-3) \\\\\\ \left( \cfrac{a+2a}{4} \right)+\left( \cfrac{b-4b}{6} \right)-3\implies \left( \cfrac{3a}{4} \right)+\left( \cfrac{-3b}{6} \right)-3 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\Large \begin{array}{llll} \cfrac{3}{4}a-\cfrac{1}{2}b-3 \end{array}}~\hfill\)

The total amount that Chau spent on video game and DVD rentals in the past month is $31.70.

Given that Chau rented 5 video games and 4 DVDs and the rental price for each video game was $3.30 while the rental price for each DVD was $3.80.

The Total amount that was spent will be:

= Amount spent on video games + Amount on DVD

= (5 × $3.30) + (4 × $3.80)

= $16.50 + $15.20

= $31.70

The amount is $31.70.

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If the perimeter of a rectangle is 24 feet and one of the sides has a length of x feet, the area of the rectangle is A = x (12 - x).

Let's consider a rectangle with one side measuring x feet. The perimeter of a rectangle is given by the formula

P = 2(l + w), where P represents the perimeter, l represents the length, and w represents the width.

In this case, since one of the sides has a length of x, we can substitute the values in the formula as follows:

24 = 2(x + w)

Simplifying the equation, we have

12 = x + w

To find the area of the rectangle, we use the formula A = lw, where A represents the area, l represents the length, and w represents the width. Since we know that one of the sides has a length of x, we can substitute x for the length, resulting in

A = xw

To determine the value of the width, we can rearrange the equation

12 = x + w to express w in terms of x, which gives w = 12 - x.

Substituting this value into the area formula, we have

A = x(12 - x)

This expression represents the area of the rectangle in terms of x.

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The average rate of change of the function is of zero on the following interval:

d. From week 5 to week 6.

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function. Hence, over an interval [a,b], the rate is calculated by the equation presented as follows:

\(r = \frac{f(b) - f(a)}{b - a}\)

The rate of change is of zero when:

f(b) - f(a) = 0.

That is, when the two outputs are the same at the endpoints of the interval.

From the relation in this problem, during weeks 5 and 6, the weight is the same, hence it is the interval in which the average rate of change is of zero, and option d is correct.

The input is:

Time (weeks)

0

1

2

3

4

5

6

7

8

The output is:

Weight (lb)

150

144

143

141

140

137

137

132

129

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Answer:

210

Step-by-step explanation:

we need to estimate so we don't need to use the real number but use a simplified one.

29 is approximately equal to 30

6.75 is approximately equal to 7

\(30 \times 7 = 210\)