What is the probability that a point randomly chosen in the rectangle is in the triangle? ​

Answer:

y = 4x + 3

Step-by-step explanation:

If he has x seed packets, Johnny can grow 4 * x = 4x plants. The 3 is a constant because he already has 3 so the equation is y = 4x + 3.

Answer:

The value is not close to 0.3 because of sampling variability.

Step-by-step explanation:

The group of answer choices are not given which are as follows:  

From this the correct option is option C which is Because of Sampling Variability.

This is true because the two populations are of different values and thus the sample is not dependent on any one of the two possibilities. When a sample of 4 is considered from first and 400 from the second the overall probability will be far from the value of 0.3. So the

Answer:

2/3

Step-by-step explanation:

there are 12in in a foot so

16/24

simplify

8/12

2/3

(f+g)(x)=f(x)+g(x)=(2x-6)+(4x+7)=6x+1

(f-g)(x)=f(x)-g(x)=(2x-6)-(4x+7)=-2x-13

(fg)(x)=f(x)×g(x)=(2x-6)(4x+7)=8x^2-10x-42

(f+g)(-2)=f(-2)+g(-2)=(2(-2)-6)+(4(-2)+7)=-11

The perimeter of the triangle JKL, obtained using the two tangent theorem, is 138 units

The two tangent theorem states the segments from the circle to the point at which two tangents to the circle meet are congruent.

The two tangent with common external point theorem indicates that the relationships between the lengths of the segments are;

5·x - 8 = 8·x - 35

8·x - 35 = 5·x - 8

8·x - 5·x = 35 - 8 = 27

3·x = 27

x = 27/3 = 9

7·y - 9 = 2·y + 11

7·y - 2·y = 11 + 9 = 20

5·y = 20

y = 20/5 = 4

LO = 32 - (2·y + 11)

Therefore; LO = 32 - (2 × 4 + 11) = 13

The two tangents theorem, indicates that we get;

The perimeter, P, of the triangle JKL is therefore;

P = (5·x - 8) + (8·x - 35) + (7·y - 9) + (2·y + 11) + LM + LO

P = (5×9 - 8) + (8×9 - 35) + (7×4 - 9) + (2×4 + 11) + 13 + 13 = 138

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The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15

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

1 2/5 + 2 2/3

3 + 2/5 + 2/3

To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number

In this case, we use 3 and 5

So, we have

3 + 2/5 * 3/3 + 2/3 * 5/5

Evaluate the products

3 + 6/15 + 10/15

Hence, the expression using fifteenths is 3 + 6/15 + 10/15

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Answer:

(st)(6)= s(6) * t(6)

Step-by-step explanation:

(st)(6)

(st)(x)= s(x) * t(x) we multiply it

(st)(6)= s(6) * t(6)

Hope this helps.

Answer:

$42

you're just dividing 504/12

Answer:$42

Step-by-step explanation:

$504 divided by 12

The total number of miles from Sharon's house to her mother's house would be = 60 miles.

The total amount of time it takes Sharon to reach the mother's house at constant speed = 180 minutes

The speed she used after the storm = 20 mile/hr

Therefore the miles she needs to cover before she reaches the mother's house = ?

That is;

20 miles = 1hr or 60 mins

X miles = 180 minutes

make X the subject of formula;

X miles = 20×180/60

= 3600/60

= 60 miles.

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Answer:

It's 20 percent of All players

Answer:

34 and 17 feet.

Step-by-step explanation:

We have that the volume is given by:

V = x * x * y = (x ^ 2) * y

The surface area of the tank would be: x ^ 2 + x * y + x * y + x * y + x * y

SA = x ^ 2 + 4 * x * y

we know that the volume is 19652, replacing it would remain:

 19652 = (x ^ 2) * y, we solve for y:

y = 19652 / (x ^ 2)

replacing in SA we are left with:

SA = x ^ 2 + 4 * x * 19652 / (x ^ 2)

SA = x ^ 2 + 70608 / x

we derive and equal 0:

SA´ (x) = 2 * x - 70608 / (x ^ 2) = 0

2 * x = 70608 / (x ^ 2)

x ^ 3 = 39304

x = 34

for and would be:

y = 19652 / (34 ^ 2) = 17

dimensions are 34 and 17 feet.

Answer:

34p -8

Step-by-step explanation:

6 (4p- 2) + 2 (5p + 2)

24p - 12 + 2 (5p +2)

24p - 12 + 10p + 4

34p -8

Answer: -2

Step-by-step explanation: When there is a + in front of an expression in parentheses, the expression remains the same. 3 - 5 calculate the difference.

Answer:

\(\frac{97}{3}\)

Step-by-step explanation:

1. in the rhombus AB=BC=CD=AD, then it is possible to write 7x+2=4x+15.

2. 4x+15=7x+2; ⇒ x=13/3;

3. if x=13/3, then

\(AB=7*\frac{13}{3} +2=\frac{97}{3}\)

Answer:

11 * 11 * 11

Step-by-step explanation:

11^3 is the same thing as 11*11*11

Answer:

\(11^{3}\) x 1

Step-by-step explanation:

Any number multiplied by 1 gives you the same number.

5th term of the sequence is -4

To find the 5th term in the sequence, we need to substitute n =  5 into the expression given

 \(a_5\) =  26- 6( 5)  

\(a_5\) =  26- 30

\(a_5\) = -4  

The formula given, an =  26- 6n, represents an  computation sequence with a common difference of-6.

This means that each term in the sequence is  attained by obtain 6 from the  former term.  

It's important to note that the formula is written in general form, meaning that it can be used to find any term in the sequence by simply plugging in the  matching value of  n.

 In this case, we were asked to find the 5th term, so we substituted n =  5 into the formula to get a5 = -4.

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Answer:

Step-by-step explanation:

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-2,\:-3\right),\:\\\left(x_2,\:y_2\right)=\left(8,\:-3\right)\\\\m=\frac{-3-\left(-3\right)}{8-\left(-2\right)}\\\\m=0\)

Approximately 37.5% of the data are greater than 28, 33.3% of the data are less than 23, 91.7% of the data are greater than 17.5, and 62.5% of the data are between 17.5 and 28.

To answer the questions, we can analyze the given data set.

First, let's count the number of data points that satisfy each condition:

Greater than 28:

There are 9 data points greater than 28 (29, 29, 29, 30, 29, 29, 28, 28, 28).

Less than 23:

There are 8 data points less than 23 (20, 18, 15, 17, 17, 15, 17, 19).

Greater than 17.5:

There are 22 data points greater than 17.5.

Between 17.5 and 28:

There are 15 data points between 17.5 and 28.

Now, let's calculate the approximate percentage for each condition:

Percent greater than 28:

The total number of data points is 24. Approximately, 9 out of 24 data points are greater than 28.

Percentage =\((9 / 24) \times 100 = 37.5\)%.

Percent less than 23:

Approximately, 8 out of 24 data points are less than 23.

Percentage = \((8 / 24) \times 100 = 33.3\)%.

Percent greater than 17.5:

Approximately, 22 out of 24 data points are greater than 17.5.

Percentage = \((22 / 24) \times 100 = 91.7\)%.

Percent between 17.5 and 28:

Approximately, 15 out of 24 data points are between 17.5 and 28.

Percentage = \((15 / 24) \times 100 = 62.5\)%.

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Answer:

Hello,

I don't know the words used for that binominal exercice.

Step-by-step explanation:

The probability that the waiter will drop exactly four of the next ten is 0.2

Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases.

Now it is given that,

Waiter drops hamburgers = 30%

Therefore, Probability of drop, p = 0.3

Now For the next ten,

⇒ number of trials, n = 10

⇒ q = 1 - p = 1 - 0.3

⇒ q = 0.7

Thus, probability that he will drop exactly four of the next ten,

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

For exactly 4, x = 4

⇒ P(x = 4) = ¹⁰C₄ * 0.3^4 * 0.7^(10 - 4)

⇒ P(x = 4) = 210*0.0081*0.1176

⇒ P(x = 4) = 0.2

Thus, the probability that the waiter will drop exactly four of the next ten is 0.2

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Answer:

2

Step-by-step explanation:

\( \frac{x}{8} = \frac{3}{12} \\ \\ x = \frac{8 \times 3}{12} \\ \\ x = \frac{24}{12}\\ \\ x = 2\)

Answer:

EA and EB are equal

Step-by-step explanation:

This is because both of the circles have the same radius AB. The radius is the length from the center of a circle to anywhere on the edge of the circle and is the same no matter where on the circle it is measured from, as long as it goes to the middle. If we focus on just the circle with B at its center, we can see that AB is the radius from the middle to the edge of the circle at A. E also lies on the edge of this same circle, meaning that the length from B to E is that same as AB, the radius. The same logic applies to AE, the length AE is equal to the radius AB because it also runs from the center to the edge of the circle.

Therefore, EA and EB are equal, because they are both radii of two same size circles and are equal to the length of AB.

Hope this helped!

The image of P after the rotation of 90° counterclockwise is (-1, 1)

Here we have the point P = (-1, -1), notice that both values are negative, thus, the point is on the third quadrant.

For any point (x, y) on the third quadrant, if we apply a rotation of 90° counterclockwise the new coordinates of the point (coordinates of the image) after the reflection are (y, -x)

In this case the original coordinates are (-1, -1), so the coordinates after the reflection are (-1, -(-1)) = (-1, 1)

The image after the rotation is  (-1, 1).

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Answer: 5575 Marbles

Step-by-step explanation:

This can be solved simply by subtracting and adding.

3409-1290=2119

2119+3456=5575

The radius of the circle is 2 units and the value of pi is 3.141.

Hence the area of the circle is given by:

Hence the area is 12.564 square units.

Answer:

For non-negative integers yes, it's 10 symbols.

Step-by-step explanation:

The symbols are the digits! 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

Please note, that to represent negative numbers we use an additional symbol - and a . for fractions. I'm pretty sure the question is about the basics of the decimal system and the ten digits though.

Answer:

Domain: \(-5\leq x\leq 4\)

Range: \(-5\leq y\leq 5\\\)

Function: yes

Step-by-step explanation:

Domain is all possible x values. In this function, domain would be: \(-5\leq x\leq 4\)

Range is all possible y values. In this function, range would be: \(-5\leq y\leq 5\)

This is a function because it passes the vertical line test.

Answer:

she did not multiply 14 by 7

Step-by-step explanation:

distributive property says she must mult by 7. correct ans is 14x+98

Answer:

Aida

Step-by-step explanation:

5 to the power of 4 is equivalent to 5 x 5 x 5 x 5. Hector, Camila, and Juan all thought of the exponents in wrong ways.

Answer:

The first one

Step-by-step explanation:

The y-intercept of f(x + 4) + 8 is given as follows:

10.

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

The parent function for this problem is given as follows:

\(f(x) = \log_2{x}\)

The translated function is then given as follows:

\(g(x) = \log_2{x + 4} + 8\)

The y-intercept of the function is the numeric value at x = 0, hence:

\(g(0) = \log_2{0 + 4} + 8\)

g(0) = 2 + 8 = 10.

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