X^2+ 2x – 35 = 0? .............

Answer:

Population = e. all shark attacks.

Sample = f. the 1000 records of shark attacks that were examined.

Variable = d. the set of groups to which the victims of shark attacks belong.

Step-by-step explanation:

The population in a particular study refers to the entire set of people to which the research study encompasses, that is all those who are eligible to be a part of the study or those who the study relates to and the outcome of the study Cann be applied to them. In the research study described above, the population of the study is all events of shark attacks.

The sample is a subset of the larger population ; the subset selected in the scenario above is the 1000 records examined out of all the events of shark attacks.

The variable in the study may refer to a set of independent variables which is according to the scenario is the set of groups to which victims of shark attack belong.

10 hours is the daily  watching TV necessary for a person to be eligible for the interview.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The empirical rule states that 68% of the data falls within one standard deviation of the mean (6 - 1.9 to 6 + 1.9 hours)

95% of the data falls within two standard deviations of the mean (6 - 2 ×1.9 to 6 + 2×1.9 hours)

99.7% of the data falls within three standard deviations of the mean (6 - 3 × 1.9 to 6 + 3×1.9 hours)

she wants to find the daily TV watching time that separates the top 10% from the rest of the population.

Since 90% of the data falls within two standard deviations of the mean, the necessary daily TV watching time for a person to be eligible for the interview is 6 + 2 × 1.9 = 9.8 hours.

Hence, 10 hours is the daily  watching TV necessary for a person to be eligible for the interview.

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Problem 1 (on the left)

We can solve for y in the second equation since the coefficient here is 1.

Having coefficients that aren't -1 or 1 means we'd likely end up with fractions.

Add 5x to both sides like so:

y - 5x = 19

y = 5x+19

Now plug this into the first equation.

-3x - 8y = 20

-3x - 8( y ) = 20

-3x - 8( 5x+19 ) = 20

At this point, we have only one variable.

We stop here because your teacher does not want you to solve the final equation.

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

Answers:

Variable to isolate: y

It leads to y = 5x+19 after solving the second equation for y.

And further leads to -3x - 8( 5x+19 ) = 20 after substitution.

======================================================

Problem 2 (on the right)

This time we can solve for x in the second equation. The reasoning is the same (coefficient of 1). Subtract 3y from both sides to get:

x+3y = 1

x = -3y+1

Substitute this into first equation.

Everywhere you see an x, replace it with -3y+1.

-3x - 3y = -15

-3( x ) - 3y = -15

-3( -3y+1 ) - 3y = -15

Like before, we now have one variable left.

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

Answers:

Variable to isolate: x

It leads to x = -3y+1 when you solve for x in the second equation.

And further leads to -3( -3y+1 ) - 3y = -15  after substitution.

Answer:

It comes out to around 127

Step-by-step explanation:

The linear function that represents the situation is y = 1/13x + 3229

Linear function:

The general form of the linear function can be written as,

y = mx + c

where

m refers the slope of the function

c refers the y intercept of the function

Given,

Here we have the table of values.

Now, we have to find the linear equation for this table and we have also need to find the value of C(0).

In order to calculate the linear function of the table, we need the slope and intercept of the given table,

In order to find that, we need a point values.

The point values are obtained from the given table as,

=> (8, 249) and (13, 314)

Now, the slope is calculated as,

=> m = (13 - 8) / (314 - 249)

=> m = 5 / 65

=> m = 1/13

Now, the intercept is calculated as,

=> 249 = 1/13 (8) + c

=> 3337 = 8 + c

=> c = 3229.

Therefore, the linear function of the table is y = 1/13x + 3229.

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Answer:

Step-by-step explanation:

Answer:

like terms: (3n,-n),(7,-3)

Step-by-step explanation:

Answer:=2n+2

Step-by-step explanation:

3n+7-n-3=2n+2

Step-by-step explanation:

5.

xnew = 205 = 2×xold + 5

200 = 2×xold

xold = 100

the old city machine can produce 100 copies per hour.

6.

2 cups of milk relate to 6 1/4 cups of flour.

such recipes represent a direct dependency of one variable on the other. one variable is always the other variable multiplied by a constant factor.

m = cups of milk

f = cups of flour

m = n×f

2 = n×(6 1/4) = n×(6×4 + 1)/4 = n×25/4

8 = 25n

n = 8/25

now, f = 43 3/4 = (43×4 + 3)/4 = 175/4

so,

m = 8/25 × 175/4 = (8×175)/(25×4) = 2×7 = 14

you will need 14 cups of milk.

Answer:

Step-by-step explanation:

Answer:

x=5 :)

Step-by-step explanation:

Answer:

The required value of x for which the given equation is true is 5.

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

the length has increased by 7.5/3 = 2.5.

so the scale factor is 2.5

Answer:

C

Step-by-step explanation:

We know that secant is the same as \(\frac{1}{cos}\) , so knowing that we can immediately find cosΘ by flipping the given secant value to be \(\frac{12}{-13}\) . Since only C has this for cosΘ, this is your answer. However, if you wanted to check further using a triangle. Using the knowledge that secant is \(\frac{1}{cos}\) and cosine is adjacent over hypotenuse (SOH CAH TOA), we can find that our hypotenuse is -13 and the adjacent side is 12. From there we can find the remaining functions using 5 as your opposite (given in the solutions) and SOH CAH TOA for each sine, cosine and tangent, flipping each for cosecant and cotangent.

The election poll indicates a close race between Candidate Smith and Candidate Jones, with a margin of error of 3 percent.

Given that,

Election poll of 1,000 people conducted

48 percent of voters favor Candidate Smith

50 percent of voters favor Candidate Jones

Margin of error is 3 percent

Based on the election poll,

We can conclude that there is a close race between Candidate Smith and Candidate Jones.

With Candidate Smith at 48 percent and Candidate Jones at 50 percent, it suggests a tight competition.

However, it's important to consider the margin of error of 3 percent.

This means that the actual support for each candidate could vary within this range.

Therefore, while this poll provides valuable insights, it is not definitive and other factors should also be considered.

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The composition f(4) has a value of -27

The definition of the functions is given as

f(x) = -2x^2 + 5

Rewrite the above function properly

So, we have the following representation

f(x) = -2x² + 5

To find the function f(4), we set the value of x in the equation f(x) = -2x² + 5

This is represented by

Calculate f(x), when x = 4

Substitute 4 for x in the equation f(x) = -2x² + 5

So, we have the following equation

f(4) = -2(4)² + 5

Evaluate the exponents

This gives

f(4) = -2 * 16 + 5

Evaluate the products

This gives

f(4) = -32 + 5

Evaluate the sum

f(4) = -27

Hence, the value of the function is -27

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\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=3 \end{cases}\implies V=\pi (5)^2(3)\implies V\approx 236~ft^3\)

Answer:

236 ft^3

Step-by-step explanation:

Base radius = 5 ft

Height = 3 ft

Volume =   πr^2h

              =  π × 5^2 × 3

              =  75π

               =  235.61944901923 feet^3

Nearest Cubic Foot = 236 ft^3

Nearest Cubic Foot:

Hence Answer is:

236 ft^3

Hope this helps!

Answer:

r = 4

Step-by-step explanation:

The general form of the equation is y=mx + b where m is the slope and b is the intercept. The problem tells us that the slope is -3. So we know that y=-3x+b

Let's use the known coordinate (-5,13) to solve for b.

y=-3x+b

13 = -3(-5) + b

13 = 15 + b

b = -2

So now we have the equation:

y=-3x-2

Let's use the other coordinate (-2,r) and solve for the unknown "r" (which is y):

y = -3*-2 - 2

y = 6 - 2

y = 4

So the answer is 4.

Answer:

hope u get it.......!!

Answer:        24

Step-by-step explanation: alright since AC = x+ 19, x+19 is equal to 2x+9+x. This means :

     x+19 = 3x+9

subtract 19 from both sides:

            x = 3x-10

now subtract 3x on both sides:

            -2x = -10

Multiply by -1 on both sides:

             2x = 10

x=5

Now we just add 19 to 5 to get 24

Answer:

Step-by-step explanation:

The gcf of 9 and 45 can be obtained like this: The factors of 9 are 9, 3, 1. The factors of 45 are 45, 15, 9, 5, 3, 1. The common factors of 9 and 45 are 9, 3, 1, intersecting the two sets above

The logarithm has the same base . If we are ask to add logarithm with the same base we just have to multiply the log values. If we are ask to subtract logarithm with same base we have to divide the logarithm values. For example

Answer: 6 + 18j

Step-by-step explanation: you distribute the 3

Based on the height of the window in the eastern wall, the actual height of the window in meters is 1.408 meters.

To find the scale, convert both lengths to one unit. We can convert the meters to centimeters:

= 1.92 x 100

= 192 centimeters

Scale is:

= 192 / 1.5

= 128

So:

1 cm : 128 cm in actual height

Given this, the actual height of the window in centimeters is:

= 128 x 1.1

= 140.8 cm

The actual height in meters is:

= 140.8 / 100

= 1.408 meters

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Answer:

14

Step-by-step explanation:

Let, the no of girls and boys be 2x and 7x

here, 7x = total no of boys

or x =49/7

x=7

now, 7x = 7 × 7 = 49

2x = 2 × 7 = 14

The total no of girls in club are 14.

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Answer: The amount budgeted for Auto Expenses is $18,200

Step-by-step explanation:

13 Percent of $140,000 is $18,200

0.13 times 140,000 :-)