what is 18+15 writen as an expression

Given:

2x + 4y = 14

4x + y = 20

Required:

We need to find the equivalent to the given system.

Explanation:

Consider the equation

Multiply both sides of the equation by -4, it will not affect the equations of the system

Final answer:

The equivalent system of the equation is

The mean is 0.36 and the variance is 0.0664.

the mean (μ) is 0.36 and the variance (σ²) is 0.0664.

explanation: to calculate the mean and variance, we can use the formulas for a weighted average and variance. since the coins are independent, we can treat them as separate random variables.

mean:

μ = p₁ * x₁ + p₂ * x₂ + p₃ * x₃   = 0.2 * 1 + 0.3 * 1 + 0.7 * 1

  = 0.36

variance:

σ² = p₁ * (x₁ - μ)² + p₂ * (x₂ - μ)² + p₃ * (x₃ - μ)²       = 0.2 * (1 - 0.36)² + 0.3 * (1 - 0.36)² + 0.7 * (0 - 0.36)²

      = 0.0664

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Answer:

113°

Step-by-step explanation:

because supplementary angles add up to 180°

thus if a is 67° then we subtract 67° from 180° and b will be 113°

Answer:

b) 192

Step-by-step explanation:

We can figure out that,

→ 48 ÷ 4 = 12

→ 12 ÷ 4 = 3

Forming the equation,

→ x ÷ 4 = 48

Then the missing term will be,

→ x ÷ 4 = 48

→ x/4 = 48

→ x = 48 × 4

→ [ x = 192 ]

Hence, the option (b) is correct.

The length of the ant on the drawing is (d) 3.3 centimeters

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

1 centimeter = 1.5 millimeter

Also, we have

Length of the actual ant = 5 millimeters

Rewrite the required parameter as follows:

So, we have the following representation

x = 5 millimeters

So, we have:

1 centimeter = 1.5 millimeter

x = 5 millimeters

Cross multiply in the above equation:

x * 1.5 = 1 centimeter * 5

Divide both sides by 1.5

x = 3.3 centimeters

Hence, the length is 3.3 centimeters

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Answer:

0= -42

Step-by-step explanation:

Simplify then add 6 to both sides after simplify again and subtract 2x from both sides then finally combine like terms and simplify the expression.

∠FGK and ∠FGH are the pairs of non-overlapping angles that share a ray to make a right angle. option C

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

In the given figure, we need to find the pairs of non-overlapping angles that share a ray to make a right angle.

We can see that ∠EGF and ∠HGF make a right angle but line FG is overlapping or common in both the angles.

∠FGK and ∠FGH make a right angle and pairs of non-overlapping angles.

So, this is the correct pair for the condition.

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With Square Payments, you can easily and safely accept all forms of payment. You can collaborate with customers rather than competing with them when it comes to how they want to pay for goods and services when you use Square Payments.

Through Square, you can accept credit cards, Apple Pay, Android Pay, and a lot of other payment options. A client is an individual or company who purchases goods or services from another company. Customers are essential because they produce income. Without them, companies would cease to exist. A customer is the recipient of a good, service, product, or idea in sales, commerce, or economics that they have purchased from a seller, vendor, or supplier in exchange for money or another useful consideration. When a customer buys something and uses it themselves, they are considered a consumer. Although they might not be the final users, customers always buy goods or services. Although they might not have paid for it, consumers are always the ones who use a good or service in the end.

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Answer:

false

Step-by-step explanation:

ray is a part of a line

hope it helps

The best approach to provide an answer to the question would be: Calculate a confidence interval using t*

The confidence interval is often used to obtain the true population mean. The question asks us to identify evidence that points to the fact that the mean amount of water drank by each teenager is more than 1.5 liters.

We are here searching for the true population mean. We calculate a confidence interval using t when the population variance is not known as is the case here. So, to solve this question, we would calculatethe confidentce interval using t*.

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Answer:

0.5563

Step-by-step explanation:

Given that :

Probability of winning (p) = 0.15

Number of months = number of trials (n) = 5

1 - p = 1 - 0.15 = 0.85

Probability of winning atleast one price ;

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x≥1) = p(1) + p(2) + p(3) + p(4) + p(5)

Using the binomial probability calculator to save computation time :

P(x≥1) = 0.556294

P(x≥1) = 0.5563

Probabilities are used to determine the chances of events.

The probability that you win at least one prize is 0.5563

The given parameters are:

\(p = 0.15\) --- the probability of winning

The probability of losing (q) is then calculated using the following complement rule

\(q= 1 - p\)

\(q= 1 - 0.15\)

\(q= 0.85\)

The probability that you win at least one prize is the complement of not winning at all.

So, we have:

\(P(At\ least\ 1) = 1 - P(None)\)

This gives

\(P(At\ least\ 1) = 1 - 0.85^5\)

\(P(At\ least\ 1) = 1 - 0.4437\)

Evaluate like terms

\(P(At\ least\ 1) = 0.5563\)

Hence, the probability of winning at least one prize is 0.5563

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Total contribution margin is an accounting metric that evaluates how well a company's sales income covers its variable expenses. The company's total contribution margin can be found using the formula: Total Contribution Margin = Total Revenue - Total Variable Costs.

1. Determine the total revenue: This is the amount of money the company makes from selling its products or services. You can find this by multiplying the selling price of each product by the number of units sold.

2. Determine the total variable costs: These are the costs that change depending on the level of production or sales. Examples of variable costs include raw materials, direct labor, and shipping costs. Calculate the variable cost for each product by multiplying the variable cost per unit by the number of units produced or sold.

3. Subtract the total variable costs from the total revenue to find the total contribution margin. This value represents the amount of money the company has remaining after covering its variable costs, which can be used to cover fixed costs and contribute to profit.

So, to calculate the company's total contribution margin, use the formula: Total Contribution Margin = Total Revenue - Total Variable Costs, and follow the steps above.

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The correct statements are:

ln( yx​)= ln(y)ln(x)​

log 5​(xy)=log 5​(x)⋅log 5​(y)

log 2​( yx​)=log 2​(x)−log 2​(y)

log 4​(xy)=log 4​(x)+log 4​(y)

The true statements from the given options are:

1. ln( yx​) = ln(y)ln(x) (This is the property of logarithms known as the power rule for natural logarithms.)

2. log 5​(xy) = log 5​(x)⋅log 5​(y) (This is the product rule for logarithms with base 5.)

3. log 2​( yx​) = log 2​(x)−log 2​(y) (This is the quotient rule for logarithms with base 2.)

4. log 4​(xy) = log 4​(x)+log 4​(y) (This is the product rule for logarithms with base 4.)

Therefore, the true statements are:

ln( yx​)= ln(y)ln(x)​

log 5​(xy)=log 5​(x)⋅log 5​(y)

log 2​( yx​)=log 2​(x)−log 2​(y)

log 4​(xy)=log 4​(x)+log 4​(y)

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Based on the amount that you bid and its percentage out of what you would pay, the amount that you were willing to pay more was $15

The winning bid of $35 is only 70% of what you would have paid at most.

Your maximum bid would therefore have been:

= 35 / 70%

= $50

The amount that you were then willing to pay more than your bid was:

= Maximum bid - Winning bid

= 50 - 35

= $15

In conclusion, you were willing to pay $15 more.

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Answer:

Area = 294 cm^2

Volume = 343 cm^3

Step-by-step explanation:

Simply plug in s = 7 into the given equations.

\(6s^{2} = 6*7^{2} = 294 cm^{2}\)

\(s^{3} = 7^{3} = 343 cm^{3}\)

Answer:

  x = 2/3  or  point (x, y) = (2/3, 0)

Step-by-step explanation:

You want to know the x-intercept of the line described by 12x +11y = 8.

The x-intercept of a graph is the point where the y-value is zero. For an equation like this, it is easily found:

  12x +11(0) = 8 . . . . use 0 for y

  12x = 8 . . . . . . . . . simplify

  x = 8/12 = 2/3 . . . . . . divide by the coefficient of x and simplify

The x-intercept is x = 2/3, point (2/3, 0).

__

Additional comment

The y-intercept is similarly found.

  0 +11y = 8

  y = 8/11 . . . . y-intercept

Answer:

ST = x = 1.8 (to the nearest tenth)

Step-by-step explanation:

STU is a right triangle right angled at T with S =61° and hypotenuse SU=3.7 units.

ST = x = SUcos(61°) = 3.7cos(61°) = 3.7*0.48481 = 1.7938

Answer:

The answer is 1.8

Step-by-step explanation:

soh-cah-toa trigonometry. Cos 61=x/3.7. Isolate the variable. 3.7cos61=x. Solve for x. X= 1.793795595 (rounded to the nearest tenth the answer is 1.8)

Answer:

The perfect factored square trinomial that is equivalent to the expression x^2 + 8x + 16 is:

(x + 4)^2

To see why this is the case, you can expand the expression (x + 4)^2 using the FOIL method:

(x + 4)^2 = (x + 4) * (x + 4)

= x^2 + 4x + 4x + 16

= x^2 + 8x + 16

So, x^2 + 8x + 16 can be factored as (x + 4)^2, which is a perfect square trinomial.

The first major trade route to connect the eastern and western parts of the world is c. the Silk Road.

The Silk Road was an ancient network of trade routes that connected China with the Mediterranean region, facilitating the exchange of goods, ideas, and cultures between the East and the West. It played a significant role in the development of civilizations and global trade during ancient times.

The Silk Road was a network of trade routes that spanned thousands of miles and connected various regions of the ancient world. It got its name from the valuable silk that was one of the major commodities traded along this route.

The Silk Road began around the 2nd century BCE and remained active for many centuries. It linked the civilizations of East Asia (particularly China) with the Middle East, Central Asia, and Europe. The route consisted of both land and sea routes, with caravans and ships carrying goods and facilitating cultural exchange. The correct answer is C.

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Answer:

The y-intercept is the constant [whole number, the one without a variable] in the equation. So you're looking for the equation that has + 2 at the end, not -2.

Step-by-step explanation:

If the nth term of an arithmetic progression - ap is 4n + 1, then it's  third term is 13

The term in the third is solved using the rule of the sequence

The the formula for the nth term as

= 4n + 1

for n = position of term = 3

solving for the third term

= 4n + 1

substituting known variables

= 4 * 3 + 1

= 12 + 1

= 13

the third term of the sequence is 13

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The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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AnsweR: The answer to that question is, i have no clue just do your ow work and pay attention

Step-by-step explanation:

Answer:

To find out how many gallons of paint are needed to cover the walls, we need to first find the total area of the walls.

The four walls are rectangles with a length of 20 feet and a height of 12 feet. So, the area of one wall is:

20 feet x 12 feet = 240 square feet

Since there are four walls, the total area of the walls is:

4 x 240 square feet = 960 square feet

We know that one gallon of paint can cover approximately 320 square feet. To find how many gallons of paint are needed, we can divide the total area of the walls by the area covered by one gallon of paint:

960 square feet ÷ 320 square feet per gallon = 3 gallons of paint

Therefore, you need approximately 3 gallons of paint to cover the walls.

Based on the given temperature data, the forecasted high temperature for today using a three-day moving average is 93°F, and using a two-day moving average is 89°F. The mean absolute deviation for the two-day moving average is 1°F, and the mean squared error is 1. The mean absolute percent error for the two-day moving average is approximately 1.13%.

These metrics provide a way to assess the accuracy of the temperature forecasts and the variability of the actual temperatures from the moving averages.

a) To forecast the high temperature today using a three-day moving average, we take the average of the temperatures from the last three days. So, (95 + 96 + 88) / 3 = 93°F.

b) To forecast the high temperature today using a two-day moving average, we take the average of the temperatures from the last two days. So, (88 + 90) / 2 = 89°F.

c) The mean absolute deviation (MAD) based on a two-day moving average is calculated by finding the absolute difference between each temperature and the two-day moving average, summing up those differences, and then dividing by the number of observations.

The two-day moving average is 89°F. The deviations from the moving average are: |88 - 89| = 1 and |90 - 89| = 1. The sum of these deviations is 1 + 1 = 2. Since we have two observations, the MAD is 2 / 2 = 1°F.

d) The mean squared error (MSE) for the two-day moving average is calculated by squaring the differences between each temperature and the two-day moving average, summing up those squared differences, and then dividing by the number of observations.

The differences are: (88 - 89)^2 = 1 and (90 - 89)^2 = 1. The sum of squared differences is 1 + 1 = 2. Since we have two observations, the MSE is 2 / 2 = 1.

e) The mean absolute percent error (MAPE) for the two-day moving average is calculated by finding the absolute difference between each temperature and the two-day moving average, dividing that difference by the actual temperature, summing up those absolute differences, and then dividing by the number of observations.

The two-day moving average is 89°F. The absolute percent differences are: |88 - 89| / 88 = 0.0114 and |90 - 89| / 90 = 0.0111. The sum of these absolute differences is 0.0114 + 0.0111 ≈ 0.0225. Since we have two observations, the MAPE is 0.0225 / 2 ≈ 0.0113 or 1.13%.

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The probable question may be:

A Canadian tourist travelling to Miami learned that the local temperatures in Fahrenheit for the last week were as follows: 93, 94, 93, 95, 96, 88, 90 (yesterday).

a) Forecast the high temperately today, using a three-day moving average.

b) Forecast the high temperature today, using a two-day moving average.

c) Calculate the mean absolute deviation based on a two-day moving average.

d) Compute the mean squared error for the two-day moving average.

e) Calculate the mean absolute percent error for the two-day moving average.

Using translation concepts, y-coordinates greater than 38 identify a location north of the city.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Considering latitude and longitude, the coordinates of a city are given as follows:

(LON, LAT).

Hence, the given city has coordinates given by:

(25, 38)

As we move north, the latitude increases, hence, y-coordinates greater than 38 identify a location north of the city.

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The negative correlation coefficient of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer suggests that as vitamin A consumption increases, the cancer rate tends to decrease.

A correlation coefficient measures the strength and direction of the linear relationship between two variables.

In this case, a correlation coefficient of -0.73 indicates a negative correlation between consumption of vitamin A and the cancer rate.

Interpreting this correlation, it can be inferred that there is an inverse relationship between the two variables. As consumption of vitamin A increases, the cancer rate tends to decrease.

However, it is important to note that correlation does not imply causation.

It would be incorrect to conclude that consuming more vitamin A causes this type of cancer. Correlation does not provide information about the direction of causality.

Other factors and confounding variables may be involved in the relationship between vitamin A consumption and cancer rate.

To establish a causal relationship, further research, such as experimental studies or controlled trials, would be necessary. These types of studies can help determine whether there is a causal link between vitamin A consumption and the occurrence of this particular cancer.

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