(02.02)Angle X measures 110 degrees. If angle X is rotated 60 degrees, what is the measure of angle X'? 00 degree O 60 degrees 0110 degrees O170 degrees​

Answer: 0.045 is the growth rate.

Step-by-step explanation:

A generic exponential growth function can be written as:

f(t) = A*(1 + r)^t

where A is the initial amount.

t is the unit of time.

r is the rate of growth.

For example if we have an increase of 10% per year, with an initial population of 100 we have that:

A = 100, r = 10%/100% = 0.10, t = number of years.

the equation will be:

f(t) = 100*(1 + 0.10)^t

Now, in this case the equation is:

S(t) = 152*(1.045)^t

We can write this as:

S(t) = 152*(1 + 0.045)^t

Then 152 is the initial amount and 0.045 is the growth rate.

Answer: 3/4 is greater than 1/2  

                                   >

Step-by-step explanation:

Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.

Answer:

$2.20

Step-by-step explanation:

Original price (before discount and before tax): $5

Discount is 60%.

Amount of discount is: 60% of $5 = 0.6 × $5 = $3

Price after 60% discount: $5 - $3 = $2

Tax is 10%.

Amount of tax is: 10% of $2 = 0.1 × $2 = $0.20

Final price = price after discount + tax = $2.00 + $0.20 = $2.20

A percentage is a way to describe a part of a whole. The final price of the candy, including the discount and a 10% sales tax is $2.2.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the cost of the candy is $5 and a 60% discount is given on the candy. Therefore, the price of the candy after the discount will be,

Discounted price = Price - 60% of price

                             = $5 - 0.60($5)

                             = $5 - $3

                             = $2

Now, on the price of the candy 10% sales tax will be added. Therefore, the Price of the candy after adding Tax will be,

Taxed price = Discounted price + 10% of discounted price

                    = $2 + 0.10($2)

                    = $2 + $0.2

                    = $2.02

Hence, the final price of the candy, including the discount and a 10% sales tax is $2.2.

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Answer:

$15.12

Step-by-step explanation:

1. Find the total amount of sales tax. This can be done by multiplying the before tax price by the sales tax percentage.

14 x 8% = 1.12

2. Add the sales tax amount back to the price.

14 + 1.12 = $15.12

Answer:

800

Step-by-step explanation:

I started off with putting 240 over x and 30 over 100. Next I multiplied 240 with 100 and got 24000. Then I divided that with 30 and got 800 as my answer.

Hope this helps :)

The solution to the system of inequalities in interval notation is [-2, 1].

Based on the information provided in the image below, we have the following system of inequalities;

-12 < 3x - 6

-3 ≥ 3x - 6

By adding 6 to both sides of the equation (inequality), we have;

-12 < 3x - 6

-12 + 6 < 3x - 6 + 6

-6 < 3x

-2 < x

x > -2 (flip)

-3 ≥ 3x - 6

-3 + 6 ≥ 3x - 6 + 6

3 ≥ 3x

1 ≥ x

x ≤ 1

Therefore, the solution to the system of inequalities is given by:

-2 < x ≤ 1

In interval notation, we have [-2, 1].

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

There is a 60% probability that a randomly selected student from the class scored either an A or B in Biostatistics.

To calculate the probability that a randomly selected student scored either an A or B in Biostatistics, we need to consider the number of students who scored A and B and divide it by the total number of students in the class.

Given that there are 25 students in the class, 5 of them scored an A and 10 scored a B. To calculate the probability, we add the number of students who scored A (5) to the number of students who scored B (10):

Number of students who scored A or B = Number of students who scored A + Number of students who scored B = 5 + 10 = 15.

Therefore, the probability that a randomly selected student scored A or B

in Biostatistics is:

Probability = Number of students who scored A or B / Total number of students = 15 / 25 = 0.6 or 60%.

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Answer:

Step-by-step explanation:

We know the the total of angles for a triangle is 180 degrees.

So in this case we'd want to set up adding all of our angles and setting them equal to 180

17 + 126 + b = 180

then solve for b

143 + b = 180

b = 37 degrees

So the answer would be 37 degrees for angle b

Answer:

Its B

Step-by-step explanation:

Reconciliation is an accounting process that compares two sets of records to check that figures are correct and in agreement

                                        Hope this helps

                                                    (>'-'<)  

Answer:

well theres prefabricated panel, concrete sheets, reclaimed wood, bamboo, brick those are the cheapest materials you could use

Step-by-step explanation:

Given the coordinates of the trapezoid FGHI

We will reflect the trapezoid over the y-axis

The rule of reflection is:

So, the coordinates of the image F'G'H'I' will be as follows:

The figure will be as shown in the following picture:

Answer:

0.72q

Step-by-step explanation:

q is the variable for the pounds of turkey so if a pound is $0.72 you would need to multiply each pound represented by a by .72

for example 1 pound is .72(1) = .72

2 pounds is .72(2) = 1.44

and so on.

The following form has two parallel sides, and, in accordance with the provided assertion, its area is 21 cm².

Area is the entire amount of space occupied by a flattened (2-D) surface or form of an item. The area of a planar figure is the space that its perimeter encloses. The quantity of unit rectangles that completely encircle a closed figure's surface is its area. Square units such as cm² and m² are used to measure area.

The ratio will also be 1/2 * (bases 1 + base 2) * length since it is a trapezium.

So, 1/2 * ( 9+5) * 3

   = 1/2 * 14 * 3

   =  1/2 * 42

   =  21 cm²

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Given the cost of some batteries as;

We can find out which one of the two would be the better buy, using the formula below.

For Option A,

For Option B

Answer:

If we compare both options, Option A is the better buy, because the unit price is lower than option B. The unit price for option A is $0.875

Answer:

The answer is (2,7)

Step-by-step explanation:

Answer:

she can fill 5 pots and have 1/3 bag left over

Step-by-step explanation:

The computation shows that the tons of sugar when they'll have same price is 18 tons.

The first company charges $5500 to rent trucks plus an additional fee of $200.25. Thai will be:

= 5500 + (200.25 × s)

= 5500 + 200.25s

where s = tons of sugar

The second company charges $5041 to rent trucks plus an additional fee of $225.75 for each ton of sugar. This will be:

5041 + 225.75s

Then we will equate both of them. This will be:

5500 + 200.25s = 5041 + 225.75s

5500 - 5041 = 225.75d - 200.25s

459 = 25.5s

s = 459/25.5

s = 18

At 18 tons, they'll have same price.

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The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $5500 to rent trucks plus an additional fee of $200.25 for each ton of sugar. The second company charges $5041 to rent trucks plus an additional fee of $225.75 for each ton of sugar. For want mount if sugar do they charge the same price.

Answer:

90% confidence interval for the true population mean textbook weight is [35.79 ounces , 38.21 ounces].

Step-by-step explanation:

We are given that you measure 50 textbooks' weights, and find they have a mean weight of 37 ounces.

Assume the population standard deviation is 5.2 ounces.

Firstly, the Pivotal quantity for 90% confidence interval for the population mean is given by;

                           P.Q. =  \(\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }\)  ~ N(0,1)

where, \(\bar X\) = sample mean weight = 37 ounces

           \(\sigma\) = population standard deviation = 5.2 ounces

           n = sample of textbooks = 50

           \(\mu\) = true population mean textbook weight

Here for constructing 90% confidence interval we have used One-sample z test statistics as we know about population standard deviation.

So, 90% confidence interval for the population mean, \(\mu\) is ;

P(-1.645 < N(0,1) < 1.645) = 0.90  {As the critical value of z at 5%

                                            level of significance are -1.645 & 1.645}  

P(-1.645 < \(\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }\) < 1.645) = 0.90

P( \(-1.645 \times {\frac{\sigma}{\sqrt{n} } }\) < \({\bar X-\mu}\) < \(1.645 \times {\frac{\sigma}{\sqrt{n} } }\) ) = 0.90

P( \(\bar X -1.645 \times {\frac{\sigma}{\sqrt{n} } }\) < \(\mu\) < \(\bar X +1.645 \times {\frac{\sigma}{\sqrt{n} } }\) ) = 0.90

90% confidence interval for \(\mu\) = [ \(\bar X -1.645 \times {\frac{\sigma}{\sqrt{n} } }\) , \(\bar X +1.645 \times {\frac{\sigma}{\sqrt{n} } }\) ]

                                          = [ \(37-1.645 \times {\frac{5.2}{\sqrt{50} } }\) , \(37+1.645 \times {\frac{5.2}{\sqrt{50} } }\) ]

                                          = [35.79 , 38.21]

Therefore, 90% confidence interval for the true population mean textbook weight is [35.79 ounces , 38.21 ounces].

The correct option for the given sum is option B. The point (2,-9) paired with (2, 3), will make a side equal to this length.

Let the other point of the pentagon will be M(n, o).

The given point be A (a, b)

Also given one of the sides of a pentagon has length 12.

Now, we need to find the distance between the two points,

Distance between two points: |AM| = √\((a-n)^2+(b-o)^2\)

Now,

\(12 = \sqrt{(2-n)^2+(3-o)^2}\)

\((12)^2\) = \((2-n)^2+(3-o)^2\)

\((2-n)^2+(3-o)^2\) = 144 ----------------------------- eq (1)

Now, check every point for the values to match with equation (1)

Option A: \((2-14)^2+(3-15)^2\) = 288. So the option is false.

Option B:

\((2-2)^2+(3-(-9))^2\) =114

0+114 =114

Therefore option B is correct. The other point is (2,-9).

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The ratio in which they should share the profit at the end of the year is D. Nine of the above.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point to another data point.

Since W/o Alemachesh starts a business with Birr 45000. Ato Zeberga joins in the business after 3 months with Birr 30000.

The ratio will be:

= 45000 / 30000

= 3/2

= 3:2

The option isn't given. Therefore, the correct option is D.

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Answer:

12

Step-by-step explanation:

I think this will be the answer

Answer:

the GCF of 36 and 60 is 2 × 2 × 3 = 12.

Step-by-step explanation:

Prime factorization of 36 and 60 is (2 × 2 × 3 × 3) and (2 × 2 × 3 × 5) respectively. As visible, 36 and 60 have common prime factors. Hence, the GCF of 36 and 60 is 2 × 2 × 3 = 12.

The expression that describe the end behavior of the expression f(x)= (3.25)^x + 6 is The curve begins infinitely close to the line y equals 6 in the second quadrant.

The behavior of the graph of a function at its "ends" on the x-axis is referred to as the end behavior of a function, f.

For example, if we look at the right end of the x-axis (as x approaches + ∞) and the left end of the x-axis (as x approaches - ∞), the end behavior of a function explains the trend of the graph.

The graph of the function is attached and from the graph it shows that the graph continued to tend towards towards line y = 6

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A) The given function is,

Its derivative will be,

The graph of the derivative can be drawn as,

Thus, option (G) is correct for (A).

(B).

The given function is,

The graph of the derivative (1/x) can be drawn as,

Thus, option (F) is correct for (B).

(C) The given function is,

The graph of the derivative i.e the tanx can be drawn as,

Thus, the option (E) is correct for (C).

(D) The given function is,

The derivative of the function is secx whose graph can be drawn as,

Thus, option (H) is the correct option for (D).

The probability that the song will be played on exactly 2 days out of 5 days is approximately 0.164.

To find the probability that a particular song is played exactly 2 days out of 5 days at radio station WMZH, we can use the binomial probability formula.

The binomial probability formula is given by P(x) = C(n, x) * p^x * (1-p)^(n-x), where P(x) is the probability of x successful outcomes, n is the number of trials, p is the probability of a successful outcome on a single trial, and C(n, x) represents the binomial coefficient, which is the number of ways to choose x items from a set of n items.

In this case, we want to find the probability of the song being played exactly 2 days out of 5 days, so x = 2, n = 5, and p = 3/8.

Using the formula, we have:

P(2) = \(C(5, 2) * (3/8)^2 * (1 - 3/8)^(^5^-^2^)\)

C(5, 2) = 5! / (2! * (5-2)!) = 10

P(2) = 10 * (3/8)^2 * (5/8)^3

P(2) ≈ 0.164 (rounded to three decimal places)

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Answer:

There are infinite solutions.

Think about it. The equation says essentially:

12 + any number = 12 + any number.

y + 12 = y + 10 + 2

y + 12 = y + 12

  y - y = 12 - 12

       0 = 12 - 12

       0 = 0

Step-by-step explanation:

Answer:

25.12 inches

Step-by-step explanation:

To find the circumference or the perimeter of a circle it is the diameter times pi. (pi = 3.14) Or you can do radius times 2 times pi.

Answer is 4 times 2 times 3.14 which is 25.12

area = 1/2 ac sin B

1/2 ( 22) ( 17) * (sin 95)

187 sin 95

186.2884085 ft^2