Factor the algebraic expression 18a + 14 18a + 14 = (Factor completely.)
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Answer: Hi Your question lacks some information but i will give you a general solution with similar data found online

answer

a) 15.15%

b) The effect on The probability of smoking is that the p( smoking ) will reduce from 15.15% to 11.70%

Step-by-step explanation:

Using The probit regression

from the attached question ;

for smoking

1 = smokes , 0 = do not smoke

For Independent variable

1 = ban at workplace ,  0 = not ban at workplace.

sex :  male = 0 , female = 1

a) Assuming Mr. A is not subject to a workplace smoking ban

P ( Mr. A  smokes ) = 15.15%

b) Assuming Mr. A is subject to a workplace smoking ban

determine effect  on P ( Mr. A smokes )

The effect on The probability of smoking is that the p( smoking ) will reduce from 15.15% to 11.70%

Answer:

Sales tax is: $6.52

Step-by-step explanation:

You must multiply $89.99 by 0.0725 (this is how you find sales tax, moves decimal two places to the left)

When you multiply that, you get 6.524275, and you must round to 6.52. This is your sales tax.

The total price (with sales tax included) is: $96.51

Carrying value on June 30, 2024  is $176 million, total  Interest revenue  is $12.44 million

To calculate the interest revenue for the first six months, we need to find the carrying value of the bonds on June 30, 2024.

The carrying value is the purchase price plus the accrued interest, which is calculated as follows:

Accrued interest = Face value x Coupon rate x Time

where Time = 6/12 = 0.5 (since interest is paid semiannually)

Accrued interest = $200 million x 6% x 0.5 = $6 million

Carrying value on June 30, 2024 = Purchase price + Accrued interest

= $170 million + $6 million

= $176 million

The interest revenue for the first six months is calculated as follows:

Interest revenue = Carrying value x Market rate x Time

= $176 million x 8% x 0.5

= $7.04 million

For the second six months, the carrying value is the fair value of $180 million, since the bonds were revalued at December 31, 2024.

The interest revenue for the second six months is calculated as follows:

Interest revenue = Carrying value x Coupon rate x Time

= $180 million x 6% x 0.5

= $5.4 million

Total interest revenue = Interest revenue for first six months + Interest revenue for second six months

= $7.04 million + $5.4 million

= $12.44 million

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Answer:

0.350 km

Step-by-step explanation:

Hi there !

35000 cm = 35000/100 m = 350 m

350 m = 350/1000 km = 0.350 km

Good luck !

The volume of the cylinder is 1020.5 cu.yards .

A cylinder is a three dimensional figure , wit no vertices and edges , it as two similar circular bases and a curved surface.

It is given that :

Radius of the cylinder is 5 yards

Height = 13 yards

The volume of the cylinder is given by

V = π R²h

V = 3.14 *(5 *5) * 13

V = 1020.5 cu.yards

The volume of the cylinder is 1020.5 cu.yards .

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Answer:

All angles and opposite angle are equal;opposite sides are parallel.

Step-by-step explanation:

Answer:

they both have 4 sides and they both have paralell sides.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

To determine whether the given set of ordered pairs {(49,13),(61,36),(10,27),(76,52),(23,52)} represents a function, check if each x-value is associated with a unique y-value.

Check the x-values in the set: 49, 61, 10, 76, and 23. There are no repeated x-values.  Still need to check if each x-value has a unique corresponding y-value.

Check the y-values: 13, 36, 27, 52, and 52. There is one repeated y-value, 52, for the pairs (76, 52) and (23, 52).

Conclusion: the y-value 52 is associated with 2 different x-values, therefore the given set of ordered pairs does not represent a function.

The new price of the shirt is $11.70

The given parameters are

Price = 6.50

Make up percentage = 80%

The price of the shirt in the store is calculated as

New price = Old price + Old price * Make up percentage

Substitute the known values in the above equation

So, we have the following equation

New price = 6.50 + 6.50 * 80%

Evaluate the product

So, we have the following equation

New price = 6.50 + 5.20

Evaluate the sum

So, we have the following equation

New price = 11.70

Hence, the price of the shirt in the store is $11.70

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Thus, an equation to show the overall price y of renting shoes and bowling x equipment is: y=4x+b.

The task is to create an equation that use the total expense (y) and the total number of bowled games (x). Hence, the way that we will begin is by entering the knowing into the formula of slope intercept form:  y=mx+b.

Thus, we include them in the formula: y=4x+b.

14 = 4(3)+b

Find b

14 = 12+b

14 - 12=b

b = 2

Thus, an equation to show the overall price y of renting shoes and bowling x equipment is: y=4x+b.

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Complete question:

The total cost for bowling includes the fee for shoe rental plus a fee per game. The cost of the game increases the price by $4. After 3 games, the total cost with shoe rental is $14.

a.write an equation to represent the total cost y to rent shoes and bowl x games.

Answer:

we need a picture of the problem

Step-by-step explanation:

Answer:30

Step-by-step explanation:47-17 = 30

The physical diameter of the sun will be 1309000km and the percentage of difference between the diameters will be 5.8%.

From the information, the sun has an angular diameter of about 0.5° and an average distance from the Earth of about 150 million km. The angular diameter in radians will be:

= 0.5π / 180

= 0.008727 radians

Distance from the sun = 150 × 10^6

The physical diameter of the sun will be:

= 150 × 10^6 × 0.008727

= 1309000km

The difference between the diameters will be:

= 1390000 - 1309000

= 8.1 × 10^4.

The percentage of difference will be:

= (8.1 * 10^4) / 1390000 × 100

= 5.8%

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Answer:

y > (1/2)x + 2

Step-by-step explanation:

The line rises 1 in y for each run of 2 in x

slope = rise/run

slope = 1/2

---------------------

The y-intercept is 2

-----------------------------

The graph is shaded above the dashed line

-----------------------------

Therefor

y > (1/2)x + 2

Answer:

y>1/2x+2

Step-by-step explanation:

The answer is y>1/2x+2. The shaded red part is the graph of y>1/2x+2. Because the slope is 1/2 and the y-intercept is 2, this is the correct answer.

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A set of numbers that can represent the side lengths, in centimeters, of a right triangle is any set that satisfies the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

A right triangle is a type of triangle that contains a 90-degree angle. According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's consider a set of numbers that could represent the side lengths of a right triangle in centimeters.

One possible set could be 3 cm, 4 cm, and 5 cm.

To verify if this set forms a right triangle, we can apply the Pythagorean theorem.

Squaring the length of the shortest side, 3 cm, gives us 9. Squaring the length of the other side, 4 cm, gives us 16.

Adding these two values together gives us 25.

Finally, squaring the length of the hypotenuse, 5 cm, also gives us 25. Since both values are equal, this set of side lengths satisfies the Pythagorean theorem, and hence forms a right triangle.

It's worth mentioning that the set of side lengths forming a right triangle is not limited to just 3 cm, 4 cm, and 5 cm.

There are infinitely many such sets that can be generated by using different combinations of positive integers that satisfy the Pythagorean theorem.

These sets are known as Pythagorean triples.

Some other examples include 5 cm, 12 cm, and 13 cm, or 8 cm, 15 cm, and 17 cm.

In summary, a right triangle can have various sets of side lengths in centimeters, as long as they satisfy the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

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Answer:

12 yards

Step-by-step explanation:

Answer:

52.5 inch square

Step-by-step explanation:

Area of pentagon: A = 1/2 × p × a;

where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.

A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5

The area of the regular pentagon with apothem 3.5 and side 6 is 52.5

In Mathematics, a pentagon is a polygon with 5 sides. A pentagon can be classified as a regular pentagon and irregular pentagon. When all the sides and the angles of a pentagon are of equal measure, then it is called a regular pentagon.

Given the question, we need to find the area of the regular pentagon with apothem 3.5 and side 6.

In order to find the area, the formula to calculate the area of the regular pentagon is given by:

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

Now,

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times 6 \times 3.5\)

\(\text{Area of pentagon} =52.5\)

Therefore, the area of the regular pentagon with apothem 3.5 and side 6 is 52.5

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Answer:

80

Step-by-step explanation:

12 is 15% of 80.

80 movies does the streaming service offer.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

A movie-streaming service offers 12 children's movies.

This is 15% of the total number of movies offered.

let the total number of movies offered be x.

So, 15% of x= 12

15/100 x = 12

x= 1200/15

x= 80

Thus, there were total 80 movies.

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Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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The fair price to pay to play the game of rolling a colored die with three green sides, two red sides, and one blue side is; $2

How to Fair Price?

We are told that in the game of rolling the colored die;

- A roll of a red loses.

- A roll of blue pays 6.00.

- A roll of green pays 2.00.

Now, the best game to get the fairest price is to play; GGGRRB

Fair price = 2(3/6) + 6(1/6) + 0(2/6)

Fair price = $2

Answer:

true

Step-by-step explanation:

The probability distribution of X is given as follows:

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The parameter values of this problem are given as follows:

n = 5, p = 0.02.

The distribution is composed by the probability of each outcome, hence it is given as follows:

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Answer:

4 is the answer

Answer:

4 is the answer I believe

Answer:

$72,000

Step-by-step explanation:

6000-5000=1000

1000x6 =6000

6000x12=72,000

Answer:

95% of confidence intervals are

(197.706 , 198.294)

Step-by-step explanation:

Explanation:-

Given sample size 'n'=100

Mean of the sample  x⁻ = 198

The standard deviation of the Americans =15

95% of confidence intervals are determined by

            \((x^{-} - Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} +Z_{\alpha } \frac{S.D}{\sqrt{n} })\)

Level of significance = 0.05

Z₀.₀₅ = 1.96

        =   \((198 - 1.96 \frac{15}{\sqrt{100} } , 198 +1.96\frac{15}{\sqrt{100} })\)

       =  ( 198 -0.294 ,198 +0.294)

       = (197.706 , 198.294)

95% of confidence intervals are

(197.706 , 198.294)

The equation which correct models the height of the balloon, y as required is; y = 3x + 4.

It follows from the task content that the equation which correct models the height of the balloon be determined.

By comparison with the slope intercept form equation; y = mx + c.

Slope, m in this scenario is the rate of change = 3.

y-intercept, c in this scenario is 4.

Hence, the required equation is; y = 3x + 4.

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