Angle DFG and angleJKL are complementary angles. If the measure if the angle DFG=x+2 and the measure of the angle JKL =x+9 then find x.

Answer:

bar graph

Step-by-step explanation:

A histogram and a bar graph dont show individual data. They show how the data are distributed.

Answer:

135

Step-by-step explanation:

a) The mean of the data-set is of 2.

b) The range of the data-set is of 4 units, which is of around 4.3 MADs.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations in the data-set, which is also called the cardinality of the data-set.

The dot plot shows how often each observation appears in the data-set, hence the mean of the data-set is obtained as follows:

Mean = (1 x 0 + 5 x 1 + 3 x 2 + 5 x 3 + 1 x 4)/(1 + 5 + 3 + 5 + 1)

Mean = 2.

The range is the difference between the largest observation and the smallest, hence:

4 - 0 = 4.

4/0.93 = 4.3 MADs.

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Answer:

P(X < 3) = 0.14254

Step-by-step explanation:

We have only the mean, which means that the Poisson distribution is used to solve this question.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\mu\) is the mean in the given interval.

On weekend nights, a large urban hospital has an average of 4.8 emergency arrivals per hour.

This means that \(\mu = 4.8\)

What is the probability P(X < 3)?

\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)\)

So

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

\(P(X = 0) = \frac{e^{-4.8}*4.8^{0}}{(0)!} = 0.00823\)

\(P(X = 1) = \frac{e^{-4.8}*4.8^{1}}{(1)!} = 0.03950\)

\(P(X = 2) = \frac{e^{-4.8}*4.8^{2}}{(2)!} = 0.09481\)

So

\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.00823 + 0.03950 + 0.09481 = 0.14254\)

P(X < 3) = 0.14254

So we have a table of values that associate x values with a function f(x). The pairs (x,y) are solutions to the equation y=f(x) and they are:

If we define a new function g(x)=(1/2)*f(x) its solutions will be those of f(x) but with their y values divided by 2. Then the solutions to g(x) are:

Then the only option with a solution to g(x) is the second option (-1,-2).

425 dollars is 500 with a 15% discount

Answer:

$425

Step-by-step explanation:

The easiest way of calculating discount is, in this case, to multiply the normal price $500 by 15 then divide it by one hundred. So, the discount is equal to $75. To calculate the sales price, simply deduct the discount of $75 from the original price $500 then get $425 as the sales price.

Answer:

see the picture there is the answer

6.175=247/40 simplified is 6 7/40

Answer:

C; Basketball

Step-by-step explanation:

Although Greg Ridley wants to play for the Scorpions when he grows up, he learns along the way that there are things that are more important, hence the use of the term "treasure."

He learns from this that memories, friendships, and family are all that matters and if having to let go of basketball to sustain the aforementioned elements (which may or may not be an easy thing to do), then it is much more of a necessity than a choice.

Hope this helped! :D

Two years ago, an investment of R1 500000 has increased to R1 700000 and has delivered R40 000 worth of dividends over the two years. Then the return on investment would be 16%.

We can use the following formula to calculate ROI:

ROI = (gain from investment - cost of investment) / cost of investment

where, gain from investment is the total value of the investment (including dividends), and cost of investment is the initial investment.

Using the values given in the question, we can calculate the ROI as:

ROI = ((R1,700,000 + R40,000) - R1,500,000) / R1,500,000 = R240,000 / R1,500,000

ROI = 0.16 or 16%

Therefore, the return on the investment is 16%.

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By using trigonometric properties, we will see that:

tan(x) = 3/4.

Remember that the sine of the difference is:

sin(a - b) = sin(a)*cos(b) - sin(b)*cos(a).

Here we have:

sin(90° -x ) = 0.8

Expanding the sine:

sin(90° - x) = sin(90°)*cos(x) - sin(x)*cos(90°)

We know that:

sin(90°) = 1 and cos(90°) = 0, then:

sin(90° - x) = sin(90°)*cos(x) - sin(x)*cos(90°) = cos(x).

Then we have:

cos(x) = 0.8

And we want to find the tangent of x, which is:

\(tan(x) = \frac{sin(x)}{cos(x)}\)

We already know that cos(x) = 0.8

Now, remember that:

\(sin(x)^2 + cos^2(x) = 1\\\\sin(x) = \sqrt{1 - cos^2(x)} \\\)

Because x is an acute angle, sin(x) > 0, that is why we choose the positive root.

Replacing cos(x) we get:

\(sin(x) = \sqrt{1 - 0.8^2} = \sqrt{1 - 0.64} = \sqrt{0.36} = 0.6\)

Then the tangent of x is:

\(tan(x) = \frac{0.6}{0.8} = \frac{6}{10}*\frac{10}{8} = 6/8 = 3/4\)

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Answer:

The correct answer is $0

Step-by-step explanation:

The taxable income (line 6) on the 1040EZ form is:  

Taxable Income = -$3,650.

If the result is negative, it means the taxpayer's income is below the standard deduction threshold, and her taxable income would be $0.

Here,

To calculate the taxable income (line 6) on the 1040EZ form, we need to subtract the standard deduction from the adjusted gross income (AGI).

For the tax year 2021 (the last available information before my knowledge cutoff in September 2021), the standard deduction for a taxpayer filing as Single is $12,550.

Given that the taxpayer's adjusted gross income (AGI) is $8,900, we calculate the taxable income as follows:

Taxable Income = AGI - Standard Deduction

Taxable Income = $8,900 - $12,550

Taxable Income = -$3,650

If the result is negative, it means the taxpayer's income is below the standard deduction threshold, and her taxable income would be $0.

The taxpayer would not owe any federal income tax in this case.

However, she may still want to file her tax return to claim any potential tax credits or receive a refund if she had taxes withheld from her paycheck during the year.

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Answer:  2(x+4) >3(x+7)-4

Step-by-step explanation:

Hope this helps

Answer:

2(n+4)≤3(n+7)-4

Step-by-step explanation:

The statement "Two times the sum of a number and four is no more than three times the sum of the number and seven decreased by four" is 2(n+4)≤3(n+7)-4

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solutions to that equation or inequality.

We need to find the inequality of the statement given;

"Two times the sum of a number and four is no more; than three times the sum of the number and seven decreased by four"

Let n be the unknown number

Then it would be;

2(n+4) ≤ 3(n+ 7) - 4

Hence, The statement "Two times the sum of a number and four is no more than three times the sum of the number and seven decreased by four" is 2(n+4)≤3(n+7)-4

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Answer:

No

Step-by-step explanation:

No, because input negative three has 2 outputs.

Answer:

7c (2d - 1)

Step-by-step explanation:

Common factorization

Answer:

\(\bold{ 7c(2d - 1)}\)

Step-by-step explanation:

\(\sf \rightarrow 14cd - 7(c)\)

take 7(c) as common factor

\(\sf \rightarrow 7c(2d - 1)\)

factorised

\(\sf 7 c(2d - 1)\)

Answer:

Step-by-step explanation:

First one 1, can’t bet negative amount of money

The equation of the line passing through (-3, -1) with slope 3/5 is y = (3/5)x + 4/5.

What is point slope form?

The equation of a line is expressed in the point-slope form as follows: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line. When we know the slope of a line and a point on the line but not the intercepts, this version of the equation is helpful. It eliminates the need to independently compute the intercepts by allowing us to state the equation of the line in terms of the given point and slope.

Given that, line passes through (-3, -1) and has a slope of 3/5.

The points slope form is given as:

y - y1 = m(x - x1)

Substituting the values we have:

y - (-1) = (3/5)(x - (-3))

y + 1 = (3/5)x + 9/5

y = (3/5)x + 4/5

Therefore, the equation of the line passing through (-3, -1) with slope 3/5 is y = (3/5)x + 4/5.

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The additional gas it will take to fill the tank is 16 gallons

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

Capacity = 24 gallons

Current volume = 1/3 full

This means that

Remaning volume = 1 - 1/3

Evaluate

Remaning volume = 2/3

The additional gas it will take to fill the tank is

Additional = 2/3 * 24

Evaluate

Additional = 16

Hence, the additional gas it will take to fill the tank is 16 gallons

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where is the rest of the question?

is that it?

can you give us more info on this question? like anything?

thanks

Answer:

the minimal loss of the optimal prediction would be g = 0

Step-by-step explanation:

From the given question, we formulate y and g to be:

\(y =\begin{cases} 1, & \text{rain with probability 0.1} \\ 0, & \text{rain with probability 0.9} \end{cases}\)

\(g =\begin{cases} 1, & \text{if we guess it will rain} \\ 0, & \text{if we guess it will not rain} \end{cases}\)

Loss function = L(y.g)

The expected loss for g = 1 & g = 0 can now be determined as follows:

When g = 1; ( i.e.  guess it will rain)

The expected loss = L(1,1) × Probability (y = 1) + L(0,1) × Probability (y = 0)

The expected loss = 0 × 0.1 + 100 × 0.9

The expected loss = $90

When g = 0; ( i.e.  guess it will not rain)

The expected loss = L(1,0) × Probability (y = 1) + L(0,0) × Probability (y = 0)

The expected loss = 500 × 0.1 + 0 × 0.9

The expected loss = $50

Therefore, the minimal loss of the optimal prediction would be g = 0 i.e it will not rain on the day of the child's birthday.

\((\sqrt{a} -2)(\sqrt{a}+2)\\=\sqrt{a}*\sqrt{a} +2\sqrt{a} -2\sqrt{a} -2*2\\=a - 4\)

Hope that helps!

Answer

coochie man

Step-by-step explanation:

The answer is A.

An indefinite integral is a function that, when differentiated, equals the original function. It is denoted by ∫f(x)dx, where f(x) is the function to be integrated. An indefinite integral always has an arbitrary constant of integration, which is denoted by C. This is because the derivative of any constant is zero, so the derivative of ∫f(x)dx+C is still equal to f(x).

A definite integral is the limit of a Riemann sum as the number of terms tends to infinity. It is denoted by ∫

a

b

​

f(x)dx, where a and b are the limits of integration. A definite integral does not have an arbitrary constant of integration, because the limits of integration specify a unique value for the integral.

In other words, an indefinite integral is a family of functions that share the same derivative, while a definite integral is a single number.

Hey there!

To find the number that's one-fourth of 360, we should just divide 360 by 4 and get 90.

There's also another way - multiplying fractions.

\(\bold{\displaystyle\frac{1}{4} *\frac{360}{1}}\)

In order to multiply fractions, we just multiply the numerator of one fraction times the numerator of the other one; same with the denominator.

Look what happens when I multiply:

\(\bold{\displaystyle\frac{360}{4}}\)

We can use mental maths to solve it.

Hence, the answer's 90.

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

#NeverGiveUp

:-)

\(\bold{Somebody~Who~Loves~Helping~Others:-)}\)

Answer:

number 3 I think I'm not sure

Answer:

Step-by-step explanation:

Formula: Area=(a+b)/2 * h

72=(16+8)/2*h

72=24/2*h

72=12*h

h=72/12

h=6

It will be nice if you give me brainlies.Good luck!

Inverse relationships between operations are used to solve two-step inequalities because they allow us to isolate the variable on one side of the inequality.

A two-step inequality involves two operations that need to be undone in reverse order to solve for the variable. Inverse relationships between operations are used to "undo" these operations, leading to an isolated variable.

For example, consider the inequality 2x + 5 > 11. The first operation being performed on x is multiplication by 2, and the second operation is adding 5. To solve for x, we need to undo these operations in reverse order.

The inverse relationship of multiplication by 2 is division by 2, and the inverse relationship of adding 5 is subtracting 5. Therefore, we can solve the inequality as follows:

2x + 5 > 11

2x > 6 (subtract 5 from both sides)

x > 3 (divide both sides by 2)

Here, we first subtracted 5 from both sides to undo the addition of 5, and then divided both sides by 2 to undo the multiplication by 2.

Inverse relationships between operations are used in two-step inequalities because they help to simplify the equation by undoing the operations one by one, leading to an isolated variable.

By using inverse relationships between operations, we can efficiently and systematically solve two-step inequalities and isolate the variable to find the solution set.

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