Expand each expression. Then simplify the expression.

20+15x-6-9x


is the answer 2(3x+7)

Answer:

7x + 13

Step-by-step explanation:

because the correct answer is 7x+13

Answer:

number 2 is C and number 3 is D

Step-by-step explanation:

During the month of May, there were 130 births, of which the newborn death rate is 38.4615.

According to the question,

There were 130 births, of which 127 were full-term births and three were premature births. There were five newborn deaths.

In order to find the newborn death rate we have the formula:

=  \(\frac{number of death under 28 days of age }{Total live births in the same year}\)  × 1000

= \(\frac{5}{130}\) × 1000

=\(\frac{5000}{130}\)

=38.4615

Hence, the new born death rate is 38.4615.

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The probability of rolling an integer is

From the question, we have the following parameters that can be used in our computation:

Sides = 6

Integer sides = 6

using the above as a guide, we have the following:

P(Integer) = Integer sides/Total sides

So, we have

P(Integer) = 6/6

Evaluate

P(Integer) = 1

Hence, the probability is 1

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Answer:

( − 2 , 6 )

x = − 2

y = 6

Step-by-step explanation:

The function f(x) = xlnx is decreasing on the open interval (0, e^-1).

To find the interval on which the function f(x) = xlnx is decreasing, we need to find the intervals where the first derivative f'(x) is negative.

Using the product rule of differentiation, we can find the first derivative of f(x) as

f'(x) = x × (1/x) + ln(x) × 1 = 1 + ln(x)

Now, we need to find the values of x where f'(x) < 0

1 + ln(x) < 0

ln(x) < -1

x < e^-1

Therefore, f(x) is decreasing on the interval (0, e^-1).

Note that we exclude x = 0 from the interval because the function is not defined for x ≤ 0.

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Step-by-step explanation:

let the equation be y = mx + b.

m = (6 - 2)/(12 - (-4)) = 1/4

sub (12, 6):

6 = 1/4(12) + b

b = 3

therefore, equation of the line is y = 1/4x + 3, aka option 4

Topic: coordinate geometry

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Answer:

y = 0.25x + 3

Step-by-step explanation:

solve for slope:

(6-2)/(12+4) = 1/4

solve for b:

6 = 12(1/4) + b

6 = 3 + b

b = 3

equation can also be y = 1/4x + 3

You can identify equivalent expressions if one of the expressions can be written like the other and it is usually written by combining any like terms on each side of the equation such as x-terms with x-terms and constants with constants.

These are the type of expressions that have similar value or worth but do not look the same.

This type of expression can be identified if one of the expressions can be written like the other and example can be seen below:

3(x + 3) and 3x + 9

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Answer:

1. 180

3. 10

I'm not too sure of the last blank. Can you show me the choices for the second blank?

The dot plot has 43 dots.

The dot plot has 10 dots to the left of the center and 1 dot to the right of the center.

The center of the data set is 6.

This can be solved using the concept of dot plot.

For relatively small data sets with values falling into a handful of discrete bins, a dot plot, also known as a dot chart, is a sort of straightforward histogram-like display used in statistics. To create a dot plot, count the data points that fall into each bin and then draw a stack of dots that is that many dots high for each bin. The form and distribution of sample data may be seen using dot plots, which are particularly helpful when comparing frequency distributions. The frequency distribution of a dataset shows how frequently certain values occur. Dot plots display the same kinds of data as histograms.

From the given figure it is clear that 1 has 6 dots, 2 has 5 dots, 3 has 4 dots, 4 has 2 dots, 5 has 3 dots, and 6 has 2 dots. It means the data set is:

1,6,2,5,3,4,4,2,5,3,6,2

Total number of observations = 43

The dot plot has 43 dots.

Median:

43 is an odd number, so the median of the data is:

Median = {(n+1)/2} / 2

Median = 11

The 11th term of the data is 6, therefore the median of the data is 6.

The dot plot has 10 dots to the left of the center and 1 dot to the right of the center.

The center of the data set is 6.

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We will use De Movre's theorem and set theory in all the three pairs of events to prove that all three cases are independent events.

Given that A and B are independent events

This implies,

P(A ∩ B) = P(A) X P(B)

a)

Now we are given notA  and notB

P(notA ∩ not B) = P(not(A U B)), this is the demovre's theorem.

= 1 - P(A) - P(B) + P(A) X P(B)

= 1 - P(A) + 1 - P(B) - 1 + P(A) X P(B

= P(not A) + P(not B) - P(not A) X P(not B

b)

Now P(A) = P(A ∩ B) + P(A ∩ notB)

or, P(A) = P(A) X P(B) + P(A ∩ not B)

or, P(A ∩ not B) = P(A) - P(A) X P(B)

or, P(A ∩ not B) = P(A){1 - P(B)}

or, P(A ∩ not B) = P(A) X P(notB)

c) Here we have

Now P(B) = P(A ∩ B) + P(notA ∩ B)

or, P(B) = P(B) X P(A) + P(notA ∩ B)

or, P(notA ∩ B) = P(B) - P(A) X P(B)

or, P(notA ∩ B) = P(B){1 - P(A)}

or, P(notA ∩ B) = P(notA) X P(B)

Hence we can say that all three cases are independent events.

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Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.

Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.

During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.

While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.

It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.

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An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

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The probability that at least 340 of them will last for more than 25,000 hours is 0.9036 .

Watt is a unit of energy or radiant flux. inside the international machine of gadgets, its miles are defined as a derived unit of 1 kg⋅m²⋅s⁻³ or, equivalently, 1 joule in step per the second. it's far used to quantify the fee of energy transfer.

Probability is the branch of arithmetic concerning numerical descriptions of ways probable an occasion is to arise, or how possibly it's far that a proposition is proper. The possibility of an event is quite a number between zero and 1, in which, more or less speaking, 0 shows the impossibility of the event and 1 indicates fact.

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Answer:

expected value =210*(1/38)-6*(37/38)=$-0.32 player would expected to lose =$315.79  a) x P(x) 0 0.0156 1 0.0938 2 0.2344 3…

Step-by-step explanation:

In the game of roulette, a player can place a $6 bet on the number 26 and have a 38 probability of winning. If the metal ball lands on 26, the player gets to keep the $6 paid to play the game and the player is awarded $210. Otherwise, the player is awarded nothing and the casino takes the player's $6. What is the expected value of the game to the player? If you played the game 1000 times, how much would you expect to lose? The expected value is $ (Round to the nearest cent as needed.) The player would expect to lose about $ (Round to the nearest cent as needed.) \

Step-by-step explanation:

\(56 = 2n + 99\)

Collect like terms and simplify

\(56 - 99 = 2n \\ - 43 = 2n\)

Divide both sides of the equation by 2

\( \frac{ - 43}{2} = \frac{2n}{2} \)

Simplify

\(n = - \frac{43}{2} = - 21 \frac{1}{2} \)

Answer:

semiannually = $1609.77

monthly = $1128.71

Step-by-step explanation:

Answer:

where u getting it from?

Step-by-step explanation:

Answer:

needs a little more so i can answer?

Step-by-step explanation:

Answer:

The Amount which will be payback to the bank in 2 years is $4867.2

The question refers to a standard pack of cards comprising 52 cards, (with the Jokers removed).There are an equal number of Red and Black cards.

There are 4 suits (Hearts, Diamonds, Spades and Clubs) in the pack with 13 cards in each suit.The pack is thoroughly shuffled before ANY card is withdrawn.If a card is withdrawn, it is drawn randomly, that is sight-unseen. NOTE: The card drawn is NOT chosen (that is chosen because it is (say) a Spade ), rather because it is sight-unseen, it is therefore selected randomly.There are 52 cards in the pack with each suit comprising 13 cards exactly.In each suit, there is an Ace, 2 3, 4, 5, 6, 7, 8, 9,and 10, Jack, Queen, and King, a total of 13 cards pet suit.8

ANALYSIS

There are 13 SPADE cardsThere are 04 QUEEN cards

There are 52 cards in a pack

There is 01 card which is BOTH A SPADE and a QUEEN.P(SPADE CARD) = ( 13/52 ) = ( 1/4 )

P(QUEEN CARD) = ( 4/52 ) = ( 1/13 )

P( SPADE or QUEEN CARD ) = P(SPADE CARD) + P(QUEEN CARD) - P(CARD THAT IS BOTH SPADE AND QUEEN) or

= ( 13/52 ) + (4/52) - (1I/52)

P( SPADE or QUEEN CARDS )

=( 13/52 ) + ( 4/52 ) - ( 1/52 )= ( 16/52 ) = 0.3077(rounded) = 30.77%

Therefore, the Probability of drawing a SPADE or a QUEEN is 30.77%

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Can you reformat the question?

Compute the speed of the car:

\(\dfrac{2\pi\,\rm ft}{1\,\rm rev} \cdot \dfrac{13\,\rm rev}{1\,\rm s} \cdot \dfrac{1\,\rm mi}{5280\,\rm ft} \cdot \dfrac{3600\,\rm s}{1\,\rm h} = \dfrac{195\pi}{11} \dfrac{\rm mi}{\rm h} \approx 55.6919 \dfrac{\rm mi}{\rm h}\)

So after 1 hour, Sal will have driven about 56 mi.

Answer:

angle one

Step-by-step explanation:

The amount of money in Iris's checking account can be modeled by a linear function of the form:

y = mt + b

where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.

In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:

y = 0.04t + 180

For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.

Recall the following information:

1) In a plane, two lines that are parallel exist on the same axis.

2) Hence, any line which is perpendicular to one of two parallel lines is also perpendicular to the other.

3) This concept is evident in the model of ladders, where each of the vertical lines is perpendicular to the parallel step lines(horizontal lines).

With this information, it can be said that if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.

T

Answer:

(0, 5)

Step-by-step explanation:

The solution is where the functions intersect.

Answer:

10/3 or 3 1/3

Step-by-step explanation:

-2 1/3=-5/3

-5/3-(-5)

-5/3+5

-5/3+15/3

10/3

answer : -2 1/3 - (-5) = \(2\frac{2}{3}\)

explanation : we need to convert the mixed numbers to improper fractions, then find the LCD and combine.

step 1 : convert the mixed number to an improper fraction

ex: \(-\frac{7}{3}-(-5)\)

step 2 : when there is a - in front of an expression in parentheses, change the sign of each term in the expression

ex : \(-\frac{7}{3}+5\)

step 3 : calculate the sum

ex : \(\frac{8}{3}\)

solution : \(\frac{8}{3}\)

simplify: \(2\frac{2}{3}\)

exact form : \(\frac{8}{3}\)

decimal form : 2.66666666 (repeating)

mixed number form : \(2\frac{2}{3}\)

hope this helps !

- audrey ♡

The total possible combination of ordered pairs from the element of the given set is 9

To find the ordered pairs of the equation, we simply have to find the total possible combinations from the element of the set.

The element of set given is x ∈ {-1, 0, 1}

The possible combinations of x ∈ {-1, 0, 1} are;

(-1, -1)

(-1, 0)

(0, -1)

(1, 1)

(-1, 1)

(1, -1)

(0, 1)

(1, 0)

(0, 0)

We have 9 possible ordered pairs

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Answer:

3/8

Step-by-step explanation:

To solve, set up a proportion

\(\frac{juice}{water}\) = \(\frac{juice}{watter}\)    Plug in the numbers you know and solve for x

\(\frac{\frac{1}{4} }{\frac{2}{3} }\) = \(\frac{x}{1}\)    Cross multiply and solve for x

\(\frac{2}{3}\) x = \(\frac{1}{4}\)  Multiply both sides by \(\frac{3}{2}\)

x = \(\frac{3}{8}\)