Alex had $29 in a bank account. He withdrew $13 for pizza and then $18 for a movie. How much money does Alex have left in his account?

Answer:

Step-by-step explanation:

When solving for a variable you need to math operations to isolate the vaiable by itself on one side of the equation.

\(-4+x\le 9\text{ adding 4 to both sides isolates x by itself}\\ \\ x-4+4\le 9+4\\ \\ x\le 13\)

Answer:

3% of the figure is shaded

Fraction: 3/10

Decimal: 0.3

Hope this helped

Answer:

3x-2x+1

Step-by-step explanation:

The expression (3x-2)(x+1) may be written as​ 3x²+x-2.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is (3x-2)(x+1).

Now, (3x-2)(x+1)

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

= 3x²-2x+3x-2

= 3x²+x-2

Therefore, the expression (3x-2)(x+1) may be written as​ 3x²+x-2.

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Photo isn't clear.

And which number

Conduct additional surveys to increase the total number of responses.

Remove duplicates from the dataset to eliminate skewing of results

Use caution when interpreting the results and consider them exploratory rather than conclusive

Consider using a different methodology for gathering data, such as focus groups or interviews

Adjust the confidence level for the survey results to account for the smaller sample size

Use a different data analysis technique, such as bootstrapping, to account for the limitations of the dataset

Consider using a sample survey method, like stratified sampling or cluster sampling.

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Answer:

Step-by-step explanation:

1/5 a-5=20   addition properties

1/5 a -5+5=20+5

1/5=25     multiply both sides by 5

5/5 a=25*5

a=125

check the answer:

125/5 -5=20

25-5=20

20=20 correct

The height of the building is approximately 125 feet to the nearest foot.

What is angle of incidence?

The angle of incidence is the angle formed by a ray of light or other wave as it approaches a surface, and a line perpendicular to that surface (known as the normal). It is the angle between the incident ray and the normal

We can use trigonometry to solve this problem. Let's assume the height of the building "h".

First, we need to find the distance between the man's eye level and the ground. We can use tangent function:

tan(85°) = h / 20

Solving for h, we get:

h = 20 * tan(85°)

h ≈ 125.36 feet

Therefore, the height of the building is approximately 125 feet to the nearest foot.

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You should be expecting 10 each day and it goes for all of them as well because there are only 6 scenarios so 6 x 10=60

Answer:

Step-by-step explanation:

Expressions given and solved

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

-7 -6 -5 -4 -3  |-2|-1 0 1 2 3 4 |5| 6 7

Many children develop the ability to do simple arithmetic problems during their early childhood years, typically between the ages of 4 and 6. Correct option is a).

During this time, children start to understand basic mathematical concepts such as counting, addition, and subtraction. They may also begin to recognize and name numbers and use basic math vocabulary. However, it's important to note that every child develops at their own pace and some may show these skills earlier or later than others. It's also important for parents and caregivers to provide opportunities for children to practice and reinforce these skills through activities such as counting objects, playing number games, and solving simple math problems.

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\(x^4-13x^2+12=0\\\)

Let \(x^2=x\)

\(x^2-13x+12=0\\(x-12)(x-1)=0\\x=1,12\\x^2=1,12\\x=1,-1,\sqrt{12},-\sqrt{12}\)

Answer:

x = ± 1, x = ± 2\(\sqrt{3}\)

Step-by-step explanation:

Given

\(x^{4}\) - 13x² + 12 = 0

Use the substitution u = x² , then

u² - 13u + 12 = 0 ← in standard form

(u - 1)(u - 12) = 0 ← in factored form

Equate each factor to zero and solve for u

u - 1 = 0 ⇒ u = 1

u - 12 = 0 ⇒ u = 12

Now substitute x² = u back, that is

x² = 1 ( take the square root of both sides )

x = ± \(\sqrt{1}\) = ± 1

x² = 12 , then

x = ± \(\sqrt{12}\) = ± \(\sqrt{4(3)}\) = ± 2\(\sqrt{3}\)

Answer:

x=12

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

$50 is one estimate for the cost of Carlotta's fees per individual. This is based on information from the article, which claims that some consumers pay $50 a session for Carlotta's services,

which are less expensive than conventional therapy. The precise price, however, is not stated and may change based on the client's financial status and the services rendered. Carlotta's services are priced in the article, although the details are not totally apparent. It states that Carlotta charges less than conventional therapy, indicating that her costs are reasonable and competitive. The article also mentions that some clients pay $50 for each session, which gives a particular pricing range. However, it is crucial to remember that the precise cost may change .

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For given six number cards, three pairs with the same total:

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

In this question, we have been given six number cards.

-4 -2 -1 5 6 8

We need to arrange the cards into three pairs with the same total in brackets.

Arranging cards with numbers  -4, -2, -1, 5, 6, 8 making pair with the same total.

i.e.  8 - 4 = 4

so the first pair is (8, -4)

6 - 2 = 4

so the second pair is (6,-2)

5 - 1 = 4

and the last pair is (5,-1)

Therefore, for given six number cards, three pairs with the same total:

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

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Answer:

\(P = 3.5\ million\)

Step-by-step explanation:

Given

Represent 1950 Population with P and 2003 Population with Q

\(Q = 19.5\ million\)

Required

Determine the value of P

From the question; we have that

\(Q = 2\ million + 5 * P\)

Substitute 19.5 million for Q

\(19.5\ million = 2\ million + 5 * P\)

Subtract 2 million from both sides

\(19.5\ million - 2\ million= 2\ million - 2\ million + 5 * P\)

\(19.5\ million - 2\ million= 5 * P\)

\(17.5\ million = 5 * P\)

Divide both sides by 5

\(\frac{17.5\ million}{5} = \frac{5 * P}{5}\)

\(\frac{17.5\ million}{5} = P\)

\(3.5\ million = P\)

\(P = 3.5\ million\)

Hence, the 1950 population is 3.5 million

Answer:

26 divided by 4= $6.50

Step-by-step explanation:

20+6=26

26 divided by 4 friends = they each paid $6.50

Answer:

(20 + 6) / 4 or 26 / 4 which equals $6.50

Step-by-step explanation:

Since their are 4 people you would divide the total cost by 4.

The required magnitude of vector C - D is √5 units which is equal to 2.23 units.

A quantity or phenomena with independent qualities for both magnitude and direction is called a vector. The term can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.

he magnitude of a vector is given by the formula

|v| = √(v₁^2 + v₂^2)

where v = (v₁, v₂) is the vector. To find the magnitude of vector C - D, we

first find the difference of the vectors:

C - D = (1, -2) - (0, -4) = (1, -2) + (0, 4) = (1, 2)

Next, we find the magnitude of this difference vector:

|C - D| = √(1^2 + 2^2) = √(1 + 4) = √5

So the magnitude of vector C - D is √5 units which is equal to 2.23 units.

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The probability distribution's mean and standard deviation, Y, will be 0.4899 and 0.699, respectively, based on the information provided.

By dividing the sum of the supplied numbers by the entire number of numbers, the mean—the average of the given numbers—is determined.

The middle value in a sorted, ascending or descending list of numbers is known as the median, and it has the potential to describe a data collection more accurately than the average does. It reflects the midway of the data since it is the point above and below which half (50%) of the observed data falls.

Mean= (Sum of All Observations/Total number of Observations).

How is a probability distribution made?

It should be noted that the probability distribution for y will be as follows given the probability distribution:

Y                         0           1         . 2

Probabilities      0.63     0.25,  0.12

The median value of Y is:

Mean = (0 × 0.63) + (1 × 0.25) + (2 × 0.12)

Mean = 0 + 0.25 + 0.25

Mean = 0.49

The variance will be 0.4899. Therefore, the standard deviation will be:

standard deviation = ✓0.4899

=> Standard Deviation = 0.699

So, The probability distribution's mean and standard deviation, Y, will be 0.4899 and 0.699, respectively

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Answer:

y = x + 15 –(1)

x + y = 85

Putting (1)'s value,

x + x + 15 = 85

2x + 15 = 85

2x = 85 - 15 = 70

x = 70/2 = 35

\(\)

The value of y is 50.

Two simultaneous equations can be formed from the given question:

y - x = 15 equation 1

y + x = 85 equation 2

In order to determine the value of x, subtract equation 1 from 2

2x = 70

Dvidie both sides of the equation by 2

x = 70 / 2

x = 35

Substitute for x in equation 1

y - 35 = 15

y = 35 + 15

y = 50

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Answer:

6 hours * 3 kilometers = 18 hours

Answer:

x = -3

Step-by-step explanation:

Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:

2³⁰/(2³)⁹ = 2^x

When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:

(2³)⁹ = 2^3•9 = 2²⁷

Now we have:

2³⁰/2²⁷ = 2^x

When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:

2^(30-27) = 2^x

2^-3 = 2^x

Now you know that x = -3

(a) This statement is false. The probability of getting heads or tails on a fair coin is always 50%, regardless of previous outcomes.  

(b) This statement is true. Drawing a face card and drawing a red card from a full deck of playing cards are mutually exclusive events.

(a) The statement is false. The outcome of each coin toss is independent of the previous tosses. Therefore, the chance of getting heads on the next toss is still 50%, regardless of the outcome of the previous eight tosses.

(b) The events of drawing a face card and drawing a red card are not mutually exclusive events. There are 12 face cards in a deck of playing cards, and 6 of them are red (2 jacks, 2 queens, and 2 kings). Therefore, the probability of drawing a face card and a red card from a full deck of playing cards is:

P(face card and red card) = P(face card) x P(red card|face card)
P(face card and red card) = (12/52) x (6/12)
P(face card and red card) = 3/52 or about 5.77%

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Answer:

1350000000-250000000=1100000000

Step-by-step explanation:

Answer:

1 A. 1080°

1 B. 142°, 74°,74°, 125°, 125°

Step-by-step explanation:

1A.

The sum of the measure of the interior angle of a convex octagon is given as

S = (n-2)180°................. Equation 1

Where n = 8 sides

S = (8-2)180°

S = 6×180°

S = 1080°

1B.

The sum of the angle of a convex pentagon is given as

S = (5-2)180°

S = 3×180°

S = 540°

From the diagram,

2x+142+2x+(3x+14)+(3x+14) = 540

10x+170 = 540

10x = 540-170

10x = 370

x = 37°

Hence,

∠H = ∠K = 2(37) = 74°,

∠M = ∠L= (3×37)+14 = 111+14 = 125°

Answer:

0.7

Step-by-step explanation:

Therefore, Z-scores can be used to identify scores that are unusually high or low compared to the rest of the distribution. This allows researchers to better understand the characteristics of their data and make informed decisions based on their findings.

A researcher calculates standard scores using the population mean and standard deviation. The researcher is calculating the Z-score.Z-scores are defined as the number of standard deviations that a score deviates from the mean of its distribution. They're calculated by subtracting the population mean from the raw score and then dividing the difference by the population standard deviation. The Z-score formula is as follows:

Z = (X - μ) / σ

where Z is the z-score, X is the raw score, μ is the population mean, and σ is the population standard deviation.The purpose of calculating standard scores is to measure the relative position of a score within its distribution. Standard scores can be used to compare scores from different populations or distributions that may have different means and standard deviations. The Z-score has a mean of 0 and a standard deviation of 1, making it useful for comparing scores across different distributions. A Z-score greater than 0 indicates that a score is above the mean, while a Z-score less than 0 indicates that a score is below the mean. Therefore, Z-scores can be used to identify scores that are unusually high or low compared to the rest of the distribution. This allows researchers to better understand the characteristics of their data and make informed decisions based on their findings.

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If AB=BC and BC=BD the for extencion we know that AB=BD. and if AB=BD then B is the midpiont