What is the angle amount of m

Answer:

Step-by-step explanation:

One example is a=-6 and b=3

-6/3=-2

-6*3=-18

-2 is greater than -18; the quotient is greater than the product in this case.

Another example is a=6 and b=3

6/3=2

6*3=18

2 is smaller than 18; the quotient is smaller than the product in this case.

Answer: you are dummy

Step-by-step explanation:dummy

g(x) = (x+2-3) + 4 = (x-1)+4

The star asterisk in the fraction 12*/23* is being replaced by all the possible values as outlined

1 to be 11/21

2 to be 61/116

4 to be 62/117

5 to be 25/47

6 to be 63/118

8 to be 64/119

0 to be 12/23

In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a chunk or section taken from a whole, which can be any number, and can represent any amount.

The fractions with different numerators and denominators when compared with another fraction but the same value with the fraction are said to be equivalent fractions.

The asterisk value is replaced with digit in each case, and the fraction formed is reduced to their equivalent forms as below

12*/23* * replaced by 1 and reduced to be 11/21

12*/23* * replaced by 2 and reduced to be 61/116

12*/23* * replaced by 4 and reduced to be 62/117

12*/23* * replaced by 5 and reduced to be 25/47

12*/23* * replaced by 6 and reduced to be 63/118

12*/23* * replaced by 8 and reduced to be 64/119

12*/23* * replaced by 0 and reduced to be 12/23

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8 percentage of her total monthly budget does she plan for savings.

The proportion of value in relation to the original value is measured using the percentage concept. In business, percentages are frequently employed to calculate a company's profit or loss percentage. Additionally, it is used in schools and colleges to show the grades that pupils have earned. A percentage formula can be used to assess the pupils' grades. In general, the definition of a percentage is any ratio of a value to the total value multiplied by 100. The percentage is denoted by the sign %.

Given,

Melissa's monthly budget is shown in the table,

Melissa' s saving = $250

Total amount = 3125

Percentage = Value/ Total × 100

Percentage = 250/3125 × 100

Percentage = 0.08 × 100

Percentage = 8%

8 percentage of her total monthly budget does she plan for savings.

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Answer:-2(3+(-4)+(-8)*7)=114

Step-by-step explanation: You wrote the equation wrong, but if you use PEMDAS that's the answer you'll get.

The value of tan A = 1

Trigonometric ratios are the ratios of sides of a right-angle triangle. The six trigonometric ratios of a right angle triangle are Sin, Cos, Tan, Cosec, sec and cot.

The trigonometric ratios relate the sides of the triangle with the angles of the triangle.

tan(A+B) = -4, tan B = 5/3

But tan(A + B) = [tex]\frac{tan A + tanB}{1-tanAtanB}[/tex]

Substituting the values of tan(A +B) tan B

-4 = [tex]\frac{tan A + 5/3}{1 - 5/3tanA}[/tex]

multiply numerator and denominator by 3, you have

-4 = [tex]\frac{3tanA + 5}{3 -5tanA}[/tex]

-4(3-5tanA) = 3tanA +5

-12 +20tanA = 3tanA +5

collect like terms

20tanA - 3tanA = 5 +12

17tanA = 17

tan A = 17/17

tanA = 1

In conclusion, the value of tanA = 1

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The greatest product that PQ x RS can have: 96 * 87 = 8352

In this question, we have been given PQ and RS represents a 2-digit numbers. Different letter represent different digits, chosen from 6, 7, 8 and 9

We need to find the greatest product that PQ x RS can have.

Consider P = 9, Q = 6, R = 8 and S = 7

So the two digit numbers would be,

PQ = 96 and RS = 87

PQ x RS

= 96 * 87

= 8352

Therefore, the greatest product that PQ x RS can have: 96 * 87 = 8352

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6 hours will it take another train to travel the same distance .

What is speed?

Average speed = Total distance/Total time

A train travels 3 hours at 20km per hour.

 train travels 20 km in 1 hours.

      then in 3 hours train travels = 3 * 20 = 60 km

 total speed = 10 km/hr

          t = distance/speed

           = 60/10 = 6 hours

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Answer:

Step-by-step explanation      a=0.32

The required simplified value of x in the given expression is 8.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
2.8x + 10 + 5.7x = 70+x

Simplifying,
8.5x + 10 = 70 + x
8.5x - x = 70 - 10
7.5x  = 60
x = 60 / 7.5
x = 8

Thus, the required simplified value of x in the given expression is 8.

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Answer:

x = -1

Step-by-step explanation:

Now we have to,

→ find the required value of x.

The equation is,

→ -10 + x + 4 - 5 = 7x - 5

Then the value of x will be,

→ -10 + x + 4 - 5 = 7x - 5

→ -11 + x = 7x - 5

→ 7x - x = -11 + 5

→ 6x = -6

→ x = -6/6

→ [ x = -1 ]

Hence, the value of x is -1.

The sample of study is 100 business.

An outcome of a random experiment is a sample. A random variable is sampled when we choose one particular value from its range of potential values. A sample is that precise value. The probability distribution of the random variable determines the possible values and the likelihood of each. A sample is a condensed, controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilized in statistical testing.

Given,

Snoopy brown is interested in the number of businesses that do not allow dogs in st. paul, mn. to conduct his study, he randomly selects 100 businesses listed in the st. paul phone book, calls them and asks their policy.

The sample of study is 100 business.

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Using the concepts of hypothesis test, we got that something is happening that wasn’t accounted for as a result when a significant chi-square value is obtained.

A chi-squared test (symbolically represented as χ2) is basically the data analysis on the basis of the observations of a random set of variables. Usually, it is the comparison of two statistical data sets. This test was introduced by Karl Pearson in the 1900 for categorical data analysis and distribution. So it was mentioned as a Pearson’s chi-squared test.

The chi-square test is actually used to estimate how likely the observations that are made would be, by considering assumption of the null hypothesis as true.

Hence, a study is designed to test whether there is a relationship between natural hair colors and eye colors, in that case if a significant chi-square value is obtained it suggests that something is happening that wasn’t accounted for .

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The different ways of solving percent increase or percent decrease problems has been described below

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.

One way to solve the percentage increase or decrease problem is by multiplying the original number by the percentage given and then adding the result with the original number.

Another method is by multiplier method

Here, the original number is taken as 1 and the given percentage has to be converted to decimal and then  1 and the percentage obtained as decimal is added or subtracted. The result obtained has to be multiplied by the original number to get the required number after increase or decrease

For the first method

Suppose the number is n and it is increased by p%

Required result is

[tex]n + \frac{p}{100}\times n\\n( 1 + \frac{p}{100})[/tex]

For the second method

Suppose the number is n and it is increased by p%

Here n is taken as 1 and p% is converted to decimal

then 1 and p% in decimal form is added

we get (1 + 0._p)

Now the result is obtained is multiplied by n

Required result is

n(1 + 0._p)

[tex]n(1 + \frac{p}{100})[/tex]

In this way the two methods are related

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Answer: 1424850

Step-by-step explanation:

2.3 x 10³ = 2300

5.9 x 105 = 619.5

2300 x 619.5 = 1424850

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Nine (9) cards must be selected from the standard 52 deck to guarantee that at least three cards are chosen from the same suit.

What is the pigeon-hole approach?
According to the pigeonhole principle, at least one container must hold more than one item if n things are placed into m containers, where n > m. For instance, if one possesses three gloves but none of them are ambidextrous or reversible, then there must be at least two right-handed gloves or at least two left-handed gloves since there are three items but only two categories of handedness. It is possible to establish potentially surprising consequences using this seemingly obvious assertion, a type of counting argument.

The standard 52 deck has 4 suits of 13 cards each, thus as per n pigeons need to be extracted from p = 4 pigeon-holes; as per established literature above.
∴ [(n - 1) / p] + 1 = 3 ⇒ [(n - 1) / 4] + 1 = 3 ⇒ n - 1 = 8 ⇒ n = 8 + 1 ⇒ n = 9
Therefore, nine (9) cards must be selected from the standard 52 deck to guarantee that at least three cards are chosen from the same suit.

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7. The composite functions are given as follows:

a. f(g(x)) = [tex]\frac{3x}{-x^2 + 3x - 1}[/tex].

b. g(f(x)) = [tex]\frac{3x(x - 1)}{9x^2 + x - 1}[/tex]

c. (f(g(3)) = -9.

8. The inverse function is given as follows:

[tex]f^{-1}(x) = \frac{4 + x}{3 - x}[/tex]

The composite functions are obtained using the inner function as the input to the outer function.

In this problem, the functions are defined as follows:

The composite of f and g is:

[tex]f(g(x)) = f\left(\frac{3x}{x^2 + 1}\right) = \frac{\frac{3x}{x^2+1}}{\frac{3x}{x^2+1} - 1} = \frac{\frac{3x}{x^2+1}}{\frac{-x^2 + 3x - 1}{x^2 + 1}} = \frac{3x}{-x^2 + 3x - 1}[/tex]

At x = 3, the numeric value of the composite function is given as follows:

f(g(3)) = 9/(-9 + 9 - 1) = -9.

The composite function of g and f is given as follows:

[tex]g(f(x)) = g\left(\frac{x}{x - 1}\right) = \frac{\frac{3x}{x - 1}}{\left(\frac{3x}{x - 1}\right)^2 + 1} = \frac{3x}{x - 1} \times \frac{(x - 1)^2}{9x^2 + x - 1} = \frac{3x(x - 1)}{9x^2 + x - 1}[/tex]

The function is given as follows:

y = (3x + 4)/(x - 1)

The find the inverse, the variables x and y are exchanged, and then y is isolated, as follows:

x = (3y + 4)(y - 1)

xy - x = 3y + 4

3y - xy = 4 + x

y(3 - x) = 4 + x

y = (4 + x)/(3 - x)

[tex]f^{-1}(x) = \frac{4 + x}{3 - x}[/tex]

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Sally purchased 7 pieces of orange .

Conversion applied :

1 dollar = 100 cents

Cost of 1 piece of orange = 51 cents

Cost of 1 piece of apple = 42 cents

Let pieces of orange purchased be x .

⇒ pieces of apples purchased = 11 - x .

The following linear equation becomes ,

51 x + 42 ( 11 - x ) = 5.25 * 100

Solving linear equation in 1 variable given above ,

9 x = 63

x = 7

⇒ no. of oranges purchased = 7

Therefore Sally purchased 7 pieces of orange .

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Answer:

he read 4940 pages in a year

Step-by-step explanation:

Given data:

1 year= 52 weeks

1 book= 95pages (takes 1 week to complete)

for 1 year = 52x95

                =4940

The perimeter of the isosceles triangle will be P(x) = x√2 + 2x.

A polygon with three sides is known as a triangle. The angles of a triangle add up to form 180° and the sum of all sides of a triangle is known as the perimeter. In an isosceles triangle, the two sides are equal and their opposite angle too. In an isosceles triangle, the hypotenuse side of the triangle can be written as h(x) = x√2. The combined length comes out to be  L(x) = 2x. Using this information the perimeter of the triangle comes out to be,

P(x) = h(x) + L(x).

P(x) =  x√2 + 2x

Hence the perimeter of the triangle comes out to be P(x) =  x√2 + 2x

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Answer:

5 11/16 as a decimal = 5.6875

7 24/25 as a decimal is 7.96

Step-by-step explanation:

Answer:

5 11/16 = 5.6875

7 24/25 = 7.97

Step-by-step explanation:

you keep the whole numbers then you turn the fractions into decimals so to do that you divide 100 by the denominator and whatever the answer is you multiply it by the numerator to get your answer, 100 divided by 16 is 6.25 and 6.25 multiplied by 11 is 68.75 but since the 5 is already the whole number you basically just forget the decimal in 68.75 ( I hope that makes sense)

And for 7 24/25 you do 100 divided by 25 and that’s 4 so now you multiply 24 by 4 and that’s 96 so that goes after the decimal so it’s 7.96 (I hope that helped and all made sense.)

The increasing exponential functions are described as follows:

f(t) = a(1 + r)^t.

In which the parameters are listed as follows:

For the old factory, the function is of:

p (w) = 230(1.1)^w.

Hence:

For the new factory, from the graph given at the end of the answer, the parameters are given as follows:

Hence the function is:

pn(w) = 190(1.1578)^w.

The new factory overtakes the old factory when:

pn(w) > p(w)

190(1.1578)^w > 230(1.1)^w

(1.1578/1.1)^w > 230/190

wlog(1.1578/1.1) > log(230/190)

w > log(230/190)/log(1.1578/1.1)

w > 3.73 weeks.

The graph for the second factory is given by the image presented at the end of the answer.

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60 different combinations of cone, ice cream, and topping are possible.

The combination is defined as an arrangement of objects where the order in which the objects are selected does not matter.

Given that, an ice cream shop offers customers 2 different types of cones, 5 different flavours of ice cream, and 6 different toppings

Total combination = 2*5*6 = 60

Hence, there are 60 different combinations of cone, ice cream, and topping are possible.

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Answer:

the answer is 9/14

Step-by-step explanation:

2/7× 2 1/4 = 2/7× 9/4

= 2 × 9 / 7 × 4

= 18/28

= 9/14

Answer:

22

Step-by-step explanation:

Answer:

C = 30pi inches

Step-by-step explanation:

The radius is 15 inches (said so in the question)

The diameter is 30 inches (The diameter is twice the radius)

The circumference is

C = pi•d

C = pi•30

C = 30pi

The circumference is 30pi inches.

The discrete and continuous random variables are-

a) Discrete; (b) Continuous; (c) Discrete; (d) Continuous; (e) Discrete; (f) Continuous

(a) So because number of new accounts is counted, (a) discrete (like, non-negative integers).

(b) Continuous, given that the interval between customer arrivals may have decimal values (like 2.9 minutes or 27.75 seconds).

(c) Because the quantity of clients is counted, (c) discrete (like, non-negative integers).

(d) Continuous, as the fuel consumption can have decimal values (like 15.5 gallons).

(e) Since this number of minorities is counted, (e) discrete (like, non-negative integers).

(f) Continuous since the outdoor temperature can be expressed in decimal degrees (e.g., 7.78 C).

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One can use the f-statistic to test whether the overall regression equation is statistically significant, one uses the f-statistic.

A reasonably high R-squared score makes sense if your regression model includes independent variables that are statistically significant. According to the statistical significance, shifts in the dependent variable are correlated with changes in the independent variables.

The ratio of two variances is known as an F-statistic, and it bears Sir Ronald Fisher's name. Variances gauge how widely apart the data points are from the mean. When the individual data points tend to deviate further from the mean, there are more variances.

The F-test determines that it is unlikely that all of the coefficients will equal zero by adding the predictive power of all independent variables. But it's likely that none of the variables are individually important enough to be statistically significant.

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