Which number is NOT classified as an integer ? a) -4 b) -1.5 c) 0 d ) 5

Answer:

1 more than the product 9 and n.

Step-by-step explanation:

A number side by side indicate a product. So the answer phrase is:

1 more than the product 9 and n.

Hope this helped you!

Answer:

"The sum of the product of 9 and a number and 1."

Step-by-step explanation:

9n + 1

The plus '+' represents addition. We would begin the word phrase with: "The sum of..."

We are adding 9n and one.

9 and 'n' are being multiplied. So, that term as a phrase would be "the product of 9 and a number".

All together, the phrase for '9n+1' would be "the sum of the product of 9 and a number and one".

Hope this helps.

Step-by-step explanation:

(2,4),(3,5),(4,6),(5,8) (1,4),(2,3),(3,-6),(-3,6)

is NOT a function, because some x values (2 and 3) have more than one associated result value (4, 3 and 5, -6).

(1,5),(1,7),(1,-5),(1,-7) (0,4),(1,4),(2,4),(3,4)

is NOT a function as the x value 1 has more than 1 associated result values (5, 7, -5, -7, 4).

x² = y + 1

y = x² - 1

this is a function. for any value of x we get exactly one result value.

xy = 1

y = 1/x

this is a function. for any value of x we get exactly one result value. but we do need to exclude x=0.

if we cannot do that, then it is NOT a function, because x=0 has no associated result value.

x = 3

is NOT a function, because although there is only one valid x value (3), there are infinitely many possible y result values associated with this x value (y can be "anything").

y = -2

this is a function. for any value of x we get exactly one result value (constantly -2).

Answer:

9

Step-by-step explanation:

5x-3= 2x+24

5x=2x+27

3x=27

X=9

Answer: A.  9

Step-by-step explanation:

The diagonal is bisected by the other diagonal.  So the 2 parts of the diagonal are equal

5x - 3 =  2x + 24                 >Bring like terms to 1 side

3x = 27                                >Divide both sides by 3

x = 9

The money had been invested for 3.5 years when the simple interest is $2240 and interest rate is 3.2%

Simple interest is a quick and easy approach to compute loan interest. Simple interest is computed by multiplying the daily interest rate by the principle multiplied by the number of days between payments.

To calculate simple interest, multiply the principal amount by the interest rate and period. "Simple Interest = Principal x Interest Rate x Time," the formula states. This is the most basic method of calculating interest.

In its most basic form, interest is calculated as a percentage of the principal. For example, if you borrow $100 from a friend and agree to repay it with 5% interest, your interest payment would be 5% of $100: $100(0.05) = $5.

Given,

P=$20000

Simple Interest=$2240

R=3.2

T=?

S.I=PTR/100

T=(100×S.I)/P×R

T=(100×2240)/(2000×3.2)

T=3.5 years.

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Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

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Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

Answer:21.4%

Step-by-step explanation:

The probability of 3 people chosen at random is 0.21428571428 or 21.428571428%.

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

A workplace has 10 software engineers and 6 web designers.

Of those workers, 3 are chosen at random.

The probability that all 3 are software engineers

= ¹⁰C₃ / ¹⁶C₃

= [10! / 3! x (10-3)!} / [16! / 3! x (16-3)!}  

= [10! / 3! x (7)!} / [16! / 3! x (13)!}  

= 10 x 9 x 8 / (3 x 2) ÷ 16 x 15 x 14 / (3 x 2)

= 120 / 560

= 0.21428571428

Therefore, the probability is 0.21428571428 or 21.428571428%.

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Answer:

y=10x+3

Step-by-step explanation:

The expression can be simplified to get.

(1/2)*(2x² − 8) + (1/3)*(6x² − 3) =  3x² - 5

So the correct option is B.

Here we want to simplify the expression below:

(1/2)*(2x² − 8) + (1/3)*(6x² − 3)

To do so, we need to expand the two products, we will get:

(1/2)*(2x² − 8) + (1/3)*(6x² − 3) = (1/2)*2x² − (1/2)*8 + (1/3)*6x² - (1/3)*3

(1/2)*2x² − (1/2)*8 + (1/3)*6x² - (1/3)*3 = x² - 4 + 2x² - 1

Now we can simplify this to get:

x² - 4 + 2x² - 1 = 3x² - 5

Then the correct opion is B.

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Answer:

1.9 m

Step-by-step explanation:

1 ft = 30 cm (approximately)

12 in. = 1 ft

100 cm = 1 m

Find the height in ft:

4 in. / 12 in/ft = 1/3 ft

6 ft 4 in. = 6 ft + 1/3 ft = 6 1/3 ft

Convert ft to cm:

6 1/3 ft × 30 cm/ft = 190 cm

Convert cm to m:

190 cm × 1 m / 100 cm = 1.9 m

By substitution; x = 4 and y = -31

An equation is a mathematical statement that shows that two mathematical expressions are equal. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. Equations can be solved to find the value of an unknown variable representing an unknown quantity.

y=-6x-7 --- 1

7x+y=-3 --- 2

Substituting y as 6x - 7 in equation 2

7x + (-6x - 7) = -3

7x - 6x - 7 = -3

x - 7 = -3

x = -3 + 7

x = 4

Substitute x as 4 in equation 1

y = -6x - 7

y = -6(4) - 7

y = -24 - 7

y = -31

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Answer:

Corresponding

congruent interior

equation 9x+8=4x+18

angle measure 26

Explanation:

9x+8=4x+18

-4x   = -4x

5x+8=18

-8    = -8

5x=10

x=10/5

x=2

---

so... now plug in 9(2)+8 = 18+8=26degrees

to confirm the angle should be the same for the next one

4x+18=26

solve for x

26-18=4x

8=4x

8/4=x

2=x

The money loaned at 9% annual interest was 1500 and the money loaned at 11% annual interest was 19000.

Let the amount of money loaned at 9% be x

the amount of money loaned at 11% be y

According to the question,

Total money loaned = 20,500

Thus the equation formed is,

x + y = 20,500 ------ (i)

Simple interest is calculated by

I = P * r * t

where I is the simple interest

r is the rate of interest

t is the time

Thus, the interest on x = 0.09x

the interest on y = 0.11y

Total interest gained = 2,225

Thus the equation formed is,

0.09x + 0.11y = 2225 -------(ii)

Multiply (i) by 0.09

0.09x + 0.09y = 1845

Subtract the above from (ii)

0.02y = 380

y = 19000

x = 1500

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The approximate margin of error for a survey based on 2,700 adults, when rounded to nearest thousand is 0.021.

In statistical surveys, the margin of error is a measure of the expected amount of random sampling error that is present in a survey's results. It is a range of values that is likely to contain the true value of the population parameter being estimated, with a certain degree of confidence.

In other words, the margin of error is the amount by which the sample estimate may differ from the true value of the population parameter.

The margin of error is affected by several factors, such as the size of the sample and the level of confidence. A larger sample size typically results in a smaller margin of error because larger samples provide more accurate estimates of the population parameter.

Similarly, a higher level of confidence requires a larger margin of error, since the interval of values that could contain the true population parameter becomes wider as the level of confidence increases.

Assuming a 95% level of confidence, the formula for calculating the margin of error is:

Margin of error = z * sqrt(p * (1 - p) / n)

where:

z is the z-score for the desired level of confidence (1.96 for 95%)

p is the sample proportion, which is the proportion of the sample that exhibits a particular characteristic of interest (e.g., the proportion of respondents who support a certain political candidate)

n is the sample size, which is the number of observations in the sample.

If the sample proportion is not known, it is common to use a value of 0.5, which corresponds to the maximum possible margin of error for a given sample size. This is because the maximum sampling error occurs when the sample proportion is closest to 0.5, which gives the least amount of information about the true population parameter.

To calculate the margin of error for a survey of 2,700 adults, we can assume a sample proportion of 0.5 and a 95% level of confidence. Plugging these values into the formula, we get:

Margin of error = 1.96 * sqrt(0.5 * (1 - 0.5) / 2700)

= 1.96 * sqrt(0.25 / 2700)

= 1.96 * 0.008

= 0.016

Rounding to the nearest thousandth, the approximate margin of error is 0.021. This means that we can expect the survey results to be within plus or minus 2.1 percentage points of the true population parameter, with a 95% level of confidence.

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In this exercise we have to use the knowledge of function to write the minimum production cost, so we have to:

\(K=13.975\)

Thus writing the function that corresponds to this will be:

\(MPK = Q'(K) = 50L^{0.5}/K^{0.5} = 25\\MPL = Q'(L) = 50K^{0.5}/L^{0.5} = 100\)

Now calculating the minimum production cost we have:

\(MPK/r = MPL/w\\MPK/40 = 100/50\\MPK =80\\MPK = 50L^{0.5}/K^{0.5} = 80\\K=(1.118/80)= 13.975\)

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Answer:

The correct answer is m=8

Answer:

Hopefully this is the answer you are looking for.

The Least Common Denominator (LCD) of 9/8 and 11/12 is 24.

The two given fractions are -

9/8 and 11/12

We have to find out the Least Common Denominator (LCD) of 9/8 and 11/12.

Firstly, we have to check if we can simplify the two given fractions. In this case, we have 9/8 and 11/12 which cannot be simplified further.

Now, we have to multiply the denominators with natural numbers until they there is a first common number in the denominators of the two given fractions.

Multiplying 8 with 2 gives 16. However, there 16 is not a multiple of 12,

Multiplying 8 with 3 gives 24. 12 when multiplied with 2 also gives 24.

So, the Least Common Denominator (LCD) of 9/8 and 11/12 is 24.

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The parameters of the expression are given as

25w+55

A multiplicative factor in some terms of a polynomial, a series, or an expression is referred to as a coefficient. Although a coefficient is often a number, it may really be any expression. It is possible to refer to the coefficients themselves as parameters in situations when they themselves are variables.

A sign that may stand in for any other item in mathematics is known as a variable. To be more specific, a variable may stand in for a numeric value, a vector, a matrix, a function, the argument of a function, a set, or an individual component of a set.

Generally, the equation for expression is  mathematically given as

25w+55

Therefore

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first off, let's take a peek at the picture above

hmmm the hyperbola is opening sideways, that means it has a horizontal traverse axis, it also means that the positive fraction will be the one with the "x" variable in it.

now, the length of the horizontal traverse axis is 4 units, from vertex to vertex, that means the "a" component of the hyperbola is half that or 2 units, and 2² = 4, with a center at the origin.

\(\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(x- 0)^2}{ 2^2}-\cfrac{(y- 0)^2}{ (\sqrt{3})^2}=1\implies {\Large \begin{array}{llll} \cfrac{x^2}{4}-\cfrac{y^2}{3}=1 \end{array}}\)

The quotient is found to be 4/5. The correct option is (B).

A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0. The number a is called as the numerator and b is the denominator. In order to divide two fractions take the reciprocal of the other fraction and change the sign as multiplication. It can be shown as a/b ÷ c/d = a/b × d/c.

The given expression is -3/5 ÷ (-3/4).

It can be simplified as follows,

Take the reciprocal of the fraction (-3/4) as -4/3.

And, change the sign of division to multiplication to obtain,

-3/5 ÷ (-3/4)

⇒ -3/5 × -4/3 = 4/5

Which the value of the quotient.

Hence, the quotient for the given arithmetic operation is 4/5.

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To find the method-of-moments estimator of p based on the random variable Y we have to first equate the population sample to solve for the p parameter of the geometric distribution.

In the question we need to find the estimator of the method of moments of p based on the observation of Y, whose geometric distribution has parameter p.

The first population moment of Y is E(Y) = 1/p. So, the first sample moment is the observed value of Y, which we can denote by y. Setting the first sample moment equal to the first population moment, we get:

Solving for p, we get:

Therefore, the method-of-moments estimator of p based on the single observation Y is the reciprocal of Y.

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The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say that number is x,

Quotients of 20 and x will be given as 20/x

20/x - 4 = 0

20/x = 4

x = 20/4 = 5

Hence"The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5".

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Answer:

Step-by-step explanation:

First, let us substitute x and y values: -7 = -2(-5) + 4

Next, let us simplify using the substitution property of equality: 14 = -7 (SEE BELOW MORE INFO).

Now, this does not make sense yet because 14 cannot possibly equal -7. Therefore, we must add a b value, therefore leading us to the equation:

14 + b = -7

by simplifying, we can conclude that b = -21

Finally, we can plug in the b-value into our original equation:

y = -2x + 4 - 21

After simplifying, we get y = -2x - 17. When this is graphed, we can see that -2x - 17 intersects (-5, -7).

Answer:

4/4

Step-by-step explanation:

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They can buy 120 vans, 60 small trucks, and 80 large trucks.

The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck

Therefore,

let

s = number of small truck

number of van = v

let

l = number of large truck

v + s + l = 260

25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000

v + 2s + 2l = 400

Hence,

v = 2s

So,

2s + 2s + 2l = 400

4s + 2l = 400

2s + s + l = 260

3s + l = 260

2s + l = 200

s = 60

l = 200 - 2(60)

l = 200 - 120

l = 80

v = 2(600 = 120

Therefore, they can buy the following:

number of small truck = 60

number of van = 120

number of large truck = 80

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Answer:$108.94

Step-by-step explanation: