−24 = −6p solve and then plot the answer on an number line

The measured value x = 13.

What is parallelogram?

A unique variety of quadrilateral made up of parallel lines is known as a parallelogram. A parallelogram can have any angle between its adjacent sides as long as its opposite sides are parallel. If two opposite sides of a quadrilateral are parallel and congruent, it will be a parallelogram. Consequently, a quadrilateral in which both pairs of opposite sides are parallel and equal is known as a parallelogram.

We can solve this easily using alternative interior angles. A parallelogram's interior is always 360 degrees, right?

In the given parallelogram the side vy = yx

VY = YX = 80 = 6x+2

6x = 80-2=78

x = 78/6= 13

Hence The measured value x = 13.

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In the given equation:

f(x) = 30x+ 10, where x is the number of days

We can see that at the beggining, when x = 0, then f (0) = 30 · 0+ 10 = 10

Then, renting a car costs at least $10, so $10 is the fixed fee

Each day that passes $30 is being multiplicated, then it cost $300 per day.

Then, the equation is expressed by

f(x)= daily rate · x + fixed fee

If the agency doubles the fixed fee, it would be that 2 · $10 = $20

If the agency increases the daily rate by $5, in addition, then $30 + $5 = $35 woul be the cost each day.

Then, with these new costs we reaplce our equation

f(x)= daily rate · x + fixed fee

f(x)= 35 · x + 20

Trigonometric functions have some interesting symmetry properties

If tan x= -2.5, then tan (-x)= 2.5 and If sin x= 0.4 then sin (-x)= -0.4

If cos x = 0.9 then cos (-x)= 0.9  If tan x = 1.5 then tan (pi+x)= -1.5

Trigonometric functions are mathematical functions that are widely used in various fields, including mathematics, physics, and engineering. The most commonly used trigonometric functions are sine, cosine, and tangent, which are abbreviated as sin, cos, and tan, respectively.

Trigonometric functions have some interesting symmetry properties. For example, the sine and tangent functions are odd functions, which means that sin(-x) = -sin(x) and tan(-x) = -tan(x). On the other hand, the cosine function is an even function, which means that cos(-x) = cos(x).

These symmetry properties have important implications in many applications of trigonometric functions. For example, if we know the value of sin(x), we can immediately determine the value of sin(-x) by using the odd symmetry property. Similarly, if we know the value of cos(x), we can determine the value of cos(-x) by using the even symmetry property.

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Answer:

Answer: Choice B.

Step-by-step explanation:

5(x + 27) >= 6(x + 26)

5x + 135 >= 6x + 156

-x >= 21

x <= -21

The mean is 0.477514 (rounded to 6 decimal places).

The standard deviation is 0.288919 (rounded to 6 decimal places).

To calculate the mean and standard deviation, we will use the following formulas:

Mean = (sum of all values) / (number of values)

Standard deviation = sqrt[(sum of (value - mean)^2) / (number of values)]

Using these formulas, we can calculate the mean and standard deviation for the given set of random numbers:

Mean = (0.937776 + 0.270012 + 0.243785 + 0.590701 + 0.824982 + 0.131805 + 0.879337 + 0.741998 + 0.254683 + 0.080259 + 0.419321 + 0.928220 + 0.958430 + 0.980182 + 0.263900 + 0.063119 + 0.762096 + 0.485612 + 0.662900 + 0.362242 + 0.724796 + 0.307736 + 0.305021 + 0.417052 + 0.054337 + 0.323357 + 0.069662 + 0.843387 + 0.353107 + 0.074262 + 0.735596 + 0.175095 + 0.390508 + 0.668932 + 0.029861 + 0.205228 + 0.387740 + 0.962169 + 0.646565 + 0.423914 + 0.754782 + 0.156719 + 0.773113 + 0.546335 + 0.323573 + 0.649740 + 0.214082 + 0.382383 + 0.383982 + 0.030539) / 50 = 0.477514

Therefore, the mean is 0.477514 (rounded to 6 decimal places).

Now we will calculate the standard deviation:

Standard deviation = sqrt[((0.937776 - 0.477514)^2 + (0.270012 - 0.477514)^2 + (0.243785 - 0.477514)^2 + ... + (0.382383 - 0.477514)^2 + (0.383982 - 0.477514)^2 + (0.030539 - 0.477514)^2) / 50] = 0.288919

Therefore, the standard deviation is 0.288919 (rounded to 6 decimal places).

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Answer:

The commission rate is 15%

Step-by-step explanation:

commission = commission rate x sales

where the commission rate is expressed as a decimal.

In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:

345 = commission rate x 2300

To solve for the commission rate, we can divide both sides by 2300:

commission rate = 345/2300

Simplifying this expression, we get:

commission rate = 0.15

So, the commission rate is 15%

Answer:

16

Step-by-step explanation:

Step 1: Write down the function \(f(x)=7x^2+2x+3.\)

Step 2: Write down the limit definition of the derivative:
\(f'(x)= lim_{h0} \frac{f(x+h)=f(x)}{h} .\)

Step 3: Substitute the function \(f(x)\) into the limit definition:
\(f'(x)=lim_{h0} \frac{(7(x+h)^2+2(x+h)+3)-(7x^2+2x+3)}{h}.\)

Step 4: Simplify the expression inside the limit:
\(f'(x)=lim_{h0}\frac{7x^2+14xh+7h^2+2x+2h+3-7x^2-2x-3}{h} .\)

Step 5: Combine like terms:
\(f'(x)=lim_{h0} \frac{14xh+7h^2+2h}{h} .\)

Step 6: Factor out an \(h\) from the numerator:
\(f'(x)=lim_{h0} \frac{h(14x+7h+2h}{h} .\)

Step 7: Cancel out the \(h\) in the numerator and denominator:
\(f'(x)=lim_{h0}(14x+7h+2).\)

Step 8: Evaluate the limit as \(h\) approaches 0:
\(f'(x)=14x+2.\)

Step 9: Substitute \(x=1\) into the derivative:
\(f'(1)=14(1)+2=14+2=16.\)

The Slope of the tangent line to the curve \(f(x)=7x^2+2x+3\) at \(x=1\) would be \(16.\)

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Answer:

20 3/4

Step-by-step explanation:

21 4/8 or 21.5- 3/4 or .75= 20.75 or 20 3/4

Answer:

look at the photo I have sent

Answer:

X=22/9

Step-by-step explanation:

Multiply both sides by 3

Giving u 9x-10=12

Put x on one side

9x=12+10

9x=22

Divide both sides by 9 :)

Answer:

Step-by-step explanation:

You want the mean and standard deviation of a binomial distribution with n = 6 and p = 1/2.

You can tell from your table that the distribution is symmetrical about x = 3. That value is the mean.

  μ = 3

If you like, you can compute the sum of products of probability and value according to the formula. The first two lines in the attached calculator display show that. The result is μ = 3.

The attached calculator display shows the sum of products of x² and p(x) is 21/2. Then the standard deviation is ...

  σ = √(21/2 -3²)

  σ = √(3/2) ≈ 1.22

__

Additional comment

It is appropriate to use the exact values of p(x), rather than the rounded values shown in the table.

A calculator or spreadsheet with list-processing capability is useful for this.

<95141404393>

Answer:

2/21

Step-by-step explanation:

The first purple is 5/15 and the second is 4/14. Multiply them together to get 2/21.

240 soldiers were transferred to the other camp. Let's assume the number of soldiers transferred to the other camp is "x." we can solve for the unknown variable representing the number of soldiers transferred.

Initially, the food provision was planned for 800 soldiers for 35 days. This means that the total food supply is equal to 800 soldiers multiplied by 35 days, which gives us a total of 28,000 soldier-days of food.

After some soldiers were transferred, the remaining soldiers had enough food to last for 50 days. So the food supply for the remaining soldiers can be calculated as the product of the number of remaining soldiers and the number of days, which gives us (800 - x) * 50 soldier-days of food.

Since the amount of food remains the same, we can set up the following equation:

\(28,000 = (800 - x) * 50\)

Now, let's solve this equation to find the value of x, representing the number of soldiers transferred to the other camp:

\(28,000 = 50 * 800 - 50x28,000 = 40,000 - 50x50x = 40,000 - 28,00050x = 12,000x = 12,000 / 50x = 240\)

By setting up the equation based on the total food supply for the initial and remaining soldiers, we can solve for the unknown variable representing the number of soldiers transferred. In this case, 240 soldiers were transferred to the other camp.

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Kevin's adjusted gross income is $36, 815. 52

Adjusted gross income is simply described as gross income minus certain adjustments from the income.

These adjustments includes;

It is calculated as;

Adjusted gross income = sum total of income - expenses

Now, let's substitute the values into the formula, we have;

Adjusted gross income = $(41,732 + 33.52) - $(1050 + 3900)

Add the values

Adjusted gross income = $(41, 765. 52 - 4950)

Subtract the values

Adjusted gross income = $36, 815. 52

Hence, the value is $36, 815. 52

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The implicit derivative is given as follows:

dx/dt(x = 4)  = 1/12.

The function in this problem is given as follows:

y = 3x² + 1.

The implicit derivative, relative to the variable t, is given as follows:

dy/dt = 6x dx/dt.

(the derivative of the constant 1 is of zero).

The parameters for this problem are given as follows:

x = 4, dy/dt = 2.

Hence the derivative is obtained as follows:

2 = 6(4) dx/dt

dx/dt = 2/24

dx/dt = 1/12.

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Answer:

y = -3/2x + 13

Step-by-step explanation:

(6,4) and (2,10)

Slope:

m=(y2-y1)/(x2-x1)

m=(10-4)/(2-6)

m=6/(-4)

m =  -3/2

Point-slope intercept:

y - y1 = m(x - x1)

y - 4 = -3/2(x - 6)

y - 4 = -3/2x + 9

y = -3/2x + 13

9514 1404 393

Answer:

  1

Step-by-step explanation:

Any (non-zero) number divided by itself is 1.

_____

This is a fact that has many uses in problem solving and units conversion.

Answer:

( \(\frac{6}{7}\) - \(\frac{1}{3}\) ) is closer to \(\frac{1}{2}\)

Step-by-step explanation:

\(\frac{2}{15}\) + \(\frac{1}{3}\) = \(\frac{2 + 5}{15}\) = \(\frac{7}{15}\)

\(\frac{6}{7}\) - \(\frac{1}{3}\) = \(\frac{18-7}{21}\) = \(\frac{11}{21}\)

\(\frac{7}{15}\) , \(\frac{1}{2}\) , \(\frac{11}{21}\)

LCD (2, 15, 21) = 210

\(\frac{98}{210}\) , \(\frac{105}{210}\) , \(\frac{110}{210}\)

105 - 98 = 7

110 - 105 = 5 ⇒ \(\frac{11}{21}\) is closer to \(\frac{1}{2}\) ⇒ ( \(\frac{6}{7}\) - \(\frac{1}{3}\) ) is closer to \(\frac{1}{2}\)

The inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

Inverse of a function can be calculated by following the steps mentioned below -

According to the question, the equation given is as follows

y = f(x) = 2x + 5

y = 2x + 5

Replace 'y' with 'x', we get -

x = 2y + 5

Now, solve for y -

2y = x - 5

y = (x/2) - (5/2)

Replace 'y' with f⁻¹(x) -

f⁻¹(x) = (x/2) - (5/2)

Hence, the inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

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Answer:

Yes

Step-by-step explanation:

60 × 13 = 780 milliliters

due to 971 > 780

therefore there is enough buffer solution in the bottle for all 13 experiments

Answer:

Hey there!

This is an obtuse isosceles, because two sides are congruent, and one angle is greater than 90 degrees.

Let me know if this helps :)

Answer:

\(\Large \boxed{\mathrm{C. \ obtuse \ isosceles }}\)

Step-by-step explanation:

An isosceles triangle has two equal angles. This triangle has two base angles equal.

An obtuse triangle has an angle measuring greater than 90 degrees. This triangle has an angle measuring 136 degrees.

This triangle is an obtuse isosceles triangle.

The statement thet complete the proof of the congruent triangles is (a) SAS criterion

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

The incomplete proof

In the proof, we have

AD ≅ BC --- side length

DC ≅ DC --- side length

∠ADC ≅ ∠BCD -- angle

This means that the triangles are congruent by the SAS theorem

The SAS theorem is defined by "If two sides in one triangle are congruent to two sides in another triangle and the included angle in both are congruent, then the two triangles are congruent"

This means that they are congruent by the SAS congruent

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Answer: A. SAS criterion.

Step-by-step explanation: Angle : ∠ADC ≅ ∠BCD                                         Side length : AD ≅ BC                                                                                       Side length : DC ≅ DC                                                                                                

Because of this △ADC ≅ △BCD by SAS criterion.

Therefore , the solution of the given problem of probability comes out to be a)1/78 ,b)65/624 ,c)1/4 ,d)0 and e)12/13.

The basic goal of any considerations technique is to assess the probability that a statement is accurate or that a specific incident will occur. Chance can be represented by any number range between 0 and 1, where 0 normally indicates a percentage but 1 typically indicates the level of certainty. An illustration of probability displays how probable it is that a specific event will take place.

Here,

a.

P(Bert gets a Jack and Ernie rolls a five) = P(Bert gets a Jack) * P(Ernie rolls a five)

= (4/52) * (1/12)

= 1/78

b.

P(Bert gets a heart and Ernie rolls a number less than six) = P(Bert gets a heart) * P(Ernie rolls a number less than six)

= (13/52) * (5/12)

= 65/624

c.

P(Bert gets a face card and Ernie rolls an even number) = P(Bert gets a face card) * P(Ernie rolls an even number)

= (12/52) * (6/12)

= 1/4

d.

P(Bert gets a red card and Ernie rolls a fifteen) = 0

e.

Ernie rolls a number that is not twelve, and Bert draws a card that is not a Jack:

A regular 52-card deck contains 48 cards that are not Jacks,

so the likelihood that Bert will draw one of those cards is 48/52, or 12/13.

On a 12-sided dice with 11 possible outcomes,

Ernie rolls a non-12th-number (1, 2, 3, etc.).

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The selling price of Adventurers swing set is $3,667

What are mathematics operations?

• An operation is a function in mathematics that converts zero or more input values (also known as "operands" or "arguments") to a well-defined output value.

• The operation's arity is determined by the number of operands.

• Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the most commonly studied operations.

• A zero-arity operation, also known as a nullary operation, is a constant.

• The mixed product is an example of an arity 3 operation, also known as a ternary operation.

We have,

Adventurers swing set wholesale selling price = $3056

Markup means the amount increased.

20% Mark up on the price:

= 20% of 3056

= 20/100 x 3056

= $611.2

The selling price of Adventurers swing set:

= $3056 + $611.2

= $3,667.2

Rounding to the nearest cent:

= $3,667

Thus the selling price of Adventurers swing set is $3,667

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The graph represents a functional relationship between two variables X and Y. We get y=3 for the value x=2

Domain is defined as the set of values of independent variables.

In the question, all x coordinates are domain.

In a function, for each domain we get a possible output from the dependent variables which is termed as range. In this graph, the y coordinates are range because y value is dependent on x value.

The graph shows five points are plotted on XY coordinate system that represents a relationship between independent variable X and dependent variable Y.

hence, this graph is plotted from a function.

from the graph we get the domain as {-4, -2, 0, 2, 4}

the ranges are = {-3, -2, -1, 1, 3}

we get, y=3 for the value of x= 2  

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Answer:

its D

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer: 0 is the answer

Step-by-step explanation:

Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

Answer:

\(P(x > 0.28) = 1\)

Step-by-step explanation:

Given

\(p = 33\%\) --- orders from first time customer

\(n =163\) --- samples

Required

\(P(x >0.28)\)

First, calculate the mean

\(\bar x = np\)

\(\bar x = 163 * 33\%\)

\(\bar x = 53.79\)

Next, the standard deviation

\(\sigma = \sqrt{\bar x * (1 - p)\)

\(\sigma = \sqrt{53.79* (1 - 33\%)\)

\(\sigma = \sqrt{53.79* (1 - 0.33)\)

\(\sigma = \sqrt{53.79* 0.67\)

\(\sigma = 6.00\)

For \(P(x >0.28)\),

The z score is:

\(z = \frac{x - \bar x}{\sigma}\)

\(z = \frac{0.28 - 53.79}{6}\)

\(z = \frac{-53.51}{6}\)

\(z = -8.92\)

So:

\(P(x > 0.28) = P(z > -8.92)\)

From z probability:

\(P(z > -8.92) =1\)

Hence:

\(P(x > 0.28) = 1\)