Solve for X

x - 8= -10

a. x=2
b. x = -2
c. x = 18
d. x= -18

Answer:

$17.25

Step-by-step explanation:

The tip is 15% of $15.00, or 0.15 * 15 = $2.25

We add that to the meal's cost, which is $15.00

15.00 + 2.25 = 17.25

Answer:

skewed left

Step-by-step explanation:

this is because most of the data set is on the right side

Answer:

C

Step-by-step explanation:

The bars are definitely not equal (so a isn't the answer), neither is it symmetrical (so d isn't the answer). Most of the data is on the right, so it's skewed left

Answer:

0.73

Step-by-step explanation:

Answer:

100, 258, 315,465

Step-by-step explanation:

this is the a answer I know it

Answer:

Ask Siri

Step-by-step explanation:

The 124 in the form of product of prime factors 2^2 × 31^1 where 2, 31 are prime.

Prime factors of a number are the set of prime numbers which when multiplied by together give the actual number.

Factors of 124 are integers that can be divided evenly into 124.

There are overall 6 factors of 124 among which 124 is the biggest factor and 1, 2, 4, 31, 62, 124 are positive factors.

The Prime Factors and Pair Factors of 124 are 2 × 31 and (1, 124), (2, 62), (4, 31) respectively.

Hence, the 124 in the form of product of prime factors 2^2 × 31^1 where 2, 31 are prime.

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The expected value of blocked transactions by the specialist is 54.4. The random variable of interest is the number of reviews until the first block is found which follows a geometric distribution.

a) The expected value refers to a generalization of the weighted average. In an experiment with number of n trails and probability of success on a single trail p, the expected value of blocked transaction is given by:

E(X) = np where n is the number of trails and p is the probability of transaction block is 0.4.

Hence,

E(X) = 136*0.4 = 54.4

b) The random variable of interest be the random variable X represents the number of reviews until the first block is found. X follows a geometric distribution as it is used to model the first transaction.

Note: The question is incomplete. The complete question probably is: At a financial institution, a fraud detection system identifies suspicious transactions and sends them to a specialist for review. The specialist reviews the transaction, the customer profile, and past history. If there is sufficient evidence of fraud, the transaction is blocked. Based on past history, the specialist blocks 40 percent of the suspicious transactions. Assume a suspicious transaction is independent of other suspicious transactions. (a) Suppose the specialist will review 136 suspicious transactions in one day. What is the expected number of blocked transactions by the specialist? Show your work. (b) Suppose the specialist wants to know the number of suspicious transactions that will need to be reviewed until reaching the first transaction that will be blocked. Define the random variable of interest and state how the variable is distributed.

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Answer:

118.0

Step-by-step explanation:

using Trigonometry,

\(x = 99tan(50) \\ = 118.0\)

Answer:

-8

Step-by-step explanation:

Following Order of Operations rules, we evaluate anything within parentheses first:

8-[12-(-4)] = 8 - 16 = -8

Answer:

$14.50

Step-by-step explanation:

To calculate the cost for manufacturing a standard cereal box, we must take in account its surface area. The volume will be used to estimate the amount of cereal, the box can contain. The box is a cuboid as standard cereal boxes are cuboid.

So, we will consider the surface area. Given are:

Length- 8 inches

Width- 3 inches

Height- 11 inches

We will find the surface area as : 2lw + 2wh +2lh

= (2x8x3) + (2x3x11) + (2x8x11)

= 48 + 66 + 176 = 290 square inches

Given is - the cost of manufacturing the box is $0.05 per square inch.

So, cost of manufacturing the box with 290 square inches area =

0.05 x 290 = $14.50

The answer is $14.50

Option B "Perpendicular Lines"  is correct.

"Perpendicular Lines" are two lines that intersect at a right angle, forming 90-degree angles between them. Thus, Option B holds the truth.

Perpendicular lines are a fundamental concept in geometry and they are defined as two lines that meet at a right angle; forming four 90-degree angles. This means that the slopes of the two lines are negative reciprocals of each other. Perpendicular lines are important in many areas of mathematics and physics because they allow us to calculate angles, distances and other geometric properties.

Perpendicular lines are useful in many practical applications such as: architecture, engineering and construction. By understanding the properties of perpendicular lines, one can better understand the geometry of our world and solve real-world problems.

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Applying the triangle sum theorem, the size of ∠BDC = 95°.

All three interior angles of any triangle have a sum that equals 180 degrees, based on the triangle sum theorem.

The diagram attached below shows the following:

Thus:

55 + 2x + 3x + 25 = 180 (triangle sum theorem).

80 + 5x = 180

5x = 180 - 80

5x = 100

x = 20

Therefore,

m∠BDC = 180 - (3x + 25) (triangle sum theorem)

m∠BDC = 180 - (3(20) + 25)

m∠BDC = 95°

Therefore, applying the triangle sum theorem, the size of ∠BDC = 95°.

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Answer:

Step-by-step explanation:

You want the missing segment lengths in the kite shown, where half-diagonals are 3 and 6, and one side length is 5.

The diagonals of a kite cross at right angles, so each of the triangles shown is a right triangle. The figure has left-right symmetry about the vertical axis, so x=z.

We recognize the top triangles as being 3-4-5 right triangles, so the missing side length is y = 4.

These lengths are the hypotenuse of a right triangle with legs 3 and 6. The Pythagorean theorem tells us they are ...

  x² = 3² +6²

  x² = 9 +36 = 45

  x = √(45) = √(9·5) = 3√5

The lengths x and z are ...

  x = z = 3√5

__

Additional comment

In case you have never heard of a 3-4-5 right triangle, you can find y from the Pythagorean relation:

  5² = 3² +y²

  y² = 25 -9 = 16

  y = √16 = 4

The {3, 4, 5} Pythagorean triple is one of several in common use in algebra, trig, and geometry problems. Others include {5, 12, 13}, {7, 24, 25}, {8, 15, 17}.

Note that based on probabilities,

The expected number of Democrats on the committee is 5.

The expected number of states represented on the committee is 26.

The expected number of states such that both of the state's senators are on the committee is 9.09.

a)  The probability that a randomly chosen senator is a Democrat is 50/100 = 1/2.

So, the expected number of Democrats on a committee of size 10 is

1/2 * 10 = 5.

b) The minimum number of   states that can be represented on a committee of size 10 is 2, and the maximum numberis 50.

The expected number of states representedon the committee is the average of these two values, which is (2 + 50)/  2 = 26.

c)  There are 50 states, and each state has 2 senators. So, there are a total of 100 pairs of senators.

The probability that a randomly chosen pair of senators both belong to the same state is 50/100 * 49/99

= 1/11.

The expected number of states such that both of the state's senators are on the committee is 100 * 1/11 = 9.09.

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The complete proof that ΔUWX ≅ ΔWUV is explained below.

Congruent triangles are set of given triangles which have equal values of corresponding properties. Thus the triangles have equal dimensions and measure of internal angles.

The two column complete proof required are given below:

              STATEMENT                             REASONS

1. WX ║ UV                                               Given

2. < V ≅ <X                                               Given

3. <VUW ≅ <UWX                                    Definition of alternate angles.

4. UW ≅ UW                                             Reflexive property of congruence

5. ΔUWX ≅ ΔWUV                                   Angle-Side-Angle (AAS) property

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Answer:

A

Step-by-step explanation:

I would say 0

Answer:

34 degrees

Step-by-step explanation:

sin(x) = opp/hyp = 9/16

So, x = 34.22 degrees

After rounding to the nearest degree, x = 34 degrees

Answer:

Likely

Step-by-step explanation:

68% is more than 2/3, so the event is likely to occur.

Answer: Likely

The probability of winning a certain lottery is p = 1/64,481. For a single play, the expected number of wins is E(X) = 1*p + 0*(1-p) = p.

The variance of the number of wins for a single play is\(Var(X) = p(1-p) = 1/64,481 * 64,480/64,481 = 64,480/64,481^2\).

For 669 plays, the expected number of wins is 669p and the variance of the number of wins is \(669Var(X) = 669(64,480/64,481^2) = 668.99/64,481\).

The standard deviation is the square root of the variance, so the answer is approximately sqrt(668.99/64,481) = 0.309.

Therefore, the closest answer choice is D) 0.3.

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In summary, the scale factor of 1:15 cm means that 1 unit on the drawing represents 15 units (or centimeters) in real life.

The scale factor consists of two parts separated by a colon (:). The number before the colon represents the measurement on the drawing, and the number after the colon represents the corresponding measurement in real life.

In this case, the number before the colon is 1. This means that 1 unit on the drawing (let's say it's 1 centimeter) represents a certain measurement in real life. The number after the colon is 15, indicating that this measurement in real life is 15 times greater than the measurement on the drawing.

So, for example, if there is a line segment on the drawing that measures 1 centimeter, its actual length in real life would be 15 centimeters. To further illustrate this, imagine you have a drawing of a building plan, and the scale factor is 1:15 cm. If there is a wall on the drawing that is shown to be 3 centimeters long, the actual length of that wall in real life would be 3 multiplied by the scale factor, which is 3 multiplied by 15 cm. Therefore, the actual length of the wall would be 45 centimeters.

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Therefore,  the dimensions that minimize the cost to build the fence around the fencing are 20 m by 10 m.

To minimize the cost of fencing a rectangular field of 200 m2, we need to find the dimensions with the least total cost. Let's use the variables x and y for the length and width of the field, respectively. The area of the field is A = xy = 200 m2.
First, we'll find an equation relating x and y using the area: y = 200/x.
Next, we'll find the cost equation: Cost = 3x + 3x + 8y + 8y = 6x + 16y.
Now, substitute y in the cost equation: Cost = 6x + 16(200/x).
To minimize the cost, we'll find the derivative of the cost function with respect to x and set it equal to zero:
d(Cost)/dx = 6 - 3200/x^2 = 0.
Solving for x, we get x = 20 m. Then, using y = 200/x, we find y = 10 m.
Therefore,  the dimensions that minimize the cost to build the fence around the fencing are 20 m by 10 m.

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The probability that the employee sold two hurricane policies or sold one hurricane policy is 15/17.

According to the statement

Number of employees who sold three hurricane policies is 2

Number of employees who sold two hurricane policies is 6

Number of employees who sold 1 hurricane policies is 9

SO,

The total number of employees is 2+6+9=17.

The number that sold two hurricane policies or sold one hurricane policy is 6+9=15,

so the Probability = Total number of policies sold / total number of employees

Probability = 15/17

So, The probability that the employee sold two hurricane policies or sold one hurricane policy is 15/17.

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Answer:

Part 1) \(f(x)=-5(x-10)(x+2)\)

Part 2) After 10 seconds.

Step-by-step explanation:

We have the function:

\(f(x)=-5x^2+40x+100\)

Where f(x) represents the height x seconds after it is released into the air.

Part 1)

First, let's distribute a -5 out of the function:

\(f(x)=-5(x^2-8x-20)\)

Now, let's factor. We want to pick two number that multiplies to -20 and adds to -8.

We can use -10 and 2. So:

\(f(x)=-5(x^2+2x-10x-20)\)

Factor:

\(\begin{aligned}f(x)&=-5(x^2+2x-10x-20) \\ f(x)&=-5(x(x+2)-10(x+2)) \\ f(x)&=-5(x-10)(x+2) \end{aligned}\)

Hence, our factored form is:

\(f(x)=-5(x-10)(x+2)\)

Part 2)

We want to find after how many seconds does it take for the projectile to reach the ground.

If it reaches the ground, the height above the ground, f(x), will be 0.

So, we can set f(x) equal to 0 and solve for x. Instead of using the original equation, we can use the factored form. So:

\(0=-5(x-10)(x+2)\)

Zero Product Property:

\(x-10=0\text{ or } x+2=0\)

Solve for x:

\(x=10 \text{ or } x=-2\)

Since x measures time, -2 does not make sense in this context.

Therefore, our solution is x=10.

So, after 10 seconds, the projectile will hit the ground.

Answer:

To round off a number to 2 decimal places, look at the digit in the thousandths place. If the digit in the thousandths place is greater or equal to 5, the hundredths digit is increased by one unit.

Step-by-step explanation:

SOLUTION

Liquids have to be poured into a container that is caliberated with measurements before it's volume can be measured because a liquid does not have a definite shape, it only takes the shape of the container which it is placed. So if the volume of the cotainer is known, that becomes the volume of the liquid.

Hence the answer is

Liquids do not have a definite shape, option 3

Yes, such a function exists. One example of such a function is the function \(f(x) = -x^3\).

Let's analyze the properties of this function:

\(f(x) > 0\): For any positive or negative value of x, when plugged into the function \(f(x) = -x^3\), the result will always be a negative number. Hence, \(f(x) > 0\).

f'(x) < 0: Taking the derivative of f(x) with respect to x, we get \(f'(x) = -3x^2\). The derivative is negative for all non-zero values of x, indicating that the function is decreasing for all x.

f''(x) > 0: Taking the second derivative of f(x) with respect to x, we get f''(x) = -6x. The second derivative is positive for all non-zero values of x, indicating that the function is concave up.

Therefore, the function \(f(x) = -x^3\) satisfies the given conditions: f(x) > 0, f'(x) < 0, and f''(x) > 0 for all x.

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The 68-95-99.7 rule, also known as the empirical rule, is a shorthand for remembering the percentage of values in a normal distribution that lie within an interval estimate: 68%, 95%, and 99.7% of values lie within one, two, and three standard deviations of the mean, respectively.

The empirical rule, also known as the three-sigma rule or the 68-95-99.7 rule, is a statistical rule stating that for a normal distribution, nearly all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).

The Empirical Rule states that 99.7% of data from a normal distribution is within 3 standard deviations of the mean.

68% of the data is within one standard deviation of the mean, 95% is within two standard deviations, and 99.7% is within three standard deviations, according to this rule.

Three-sigma limits that follow the empirical rule are used to define the upper and lower control limits in statistical quality control charts and risk analysis such as VaR.

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Answer:

x=125

Step-by-step explanation:

suppose the number is x

72% of x is 90

=> 0.72x=90

=> x=90/0.72

=> x=125

The 90 is 72 percent of approximately 125. In other words, if the unknown number is 125, 72 percent of 125 would be equal to 90.

To calculate the number that 90 is 72 percent of, we can set up the proportion:

90 is to x as 72 is to 100.

This proportion can be expressed as:

90/x = 72/100.

To solve for x, we can cross-multiply:

90 * 100 = 72 * x.

Simplifying the equation:

9000 = 72x.

Next, divide both sides of the equation by 72:

9000/72 = x.

x ≈ 125.

Hence, 90 is 72 percent of approximately 125. In other words, if the unknown number is 125, 72 percent of 125 would be equal to 90.

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Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21