Help Plss..

2+8(x-1)

Answer:

(X-7)^2+(y +3)^2 = 7

if at 10:15 the bus has not yet arrived, The conditional probability p(x > 25 | x > 15) that you will have to wait longer than 10 additional minutes is given below

p(x > 25 | x > 15)= P(X > 25)/ P(X > 15)= 1/3

What is probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution.

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Step-by-step explanation:

a. The stem-and-leaf plot for Kris's data is:

0 | 9

1 | 05 39 54 75 83 84

4 | 28 28

9 | 6

b. The box plot for Kris's data is:

| 0 1 2 3 4 5 6 7 8 9

---- | ---- ---- ---- ---- ---- ---- ---- ---- ---- ----

10 | |

20 | |

30 | |

40 | |_____

50 | |___ |_

60 | |

70 | |______ |

80 | |___| |___|

100 | |

c. The lower quartile is 54 and the upper quartile is 84.

d. The box plot gives more information about Kris's data because it provides a visual representation of the distribution of the data, including measures of central tendency and variability. The stem-and-leaf plot is useful for showing the individual data points, but it can be difficult to see the overall pattern in the data.

e. The expression for 002 is simply 2, since leading zeros do not change the value of a number.

Answer:

plz do not delete this can u plz help me i am depressed

Step-by-step explanation:

The salesperson's commission rate is 15%.

To find the commission rate for the salesperson who earns $435 for selling $2900 in merchandise, follow these steps:

1. Divide the commission earned ($435) by the total value of merchandise sold ($2900).
  Commission rate = (Commission earned) / (Total value of merchandise sold)
2. In this case, the Commission rate = $435 / $2900
3. Calculate the result: Commission rate ≈ 0.15
4. Convert the decimal value (0.15) to a percentage by multiplying it by 100.
  Percentage commission rate = Commission rate * 100
5. In this case, Percentage commission rate = 0.15 * 100 = 15%

So, the salesperson's commission rate is 15%.

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Answer:

the third one if you go clockwise from the upper left; cannot see it's letter but it's directly to the left of graph J

Step-by-step explanation:

The third graph suits the given function , f= 2(5)ˣ .

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Every function has a domain and co domain or range. A function is generally denoted by f(x) where x is the input.

In the given images the third graph suits the given function

f= 2(5)ˣ

Therefore Option G is the correct answer.

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The amount of Chemical  B needed is 1.6 g.

This refers to a diagram that shows a series of one or more points, lines, line segments, curves, or areas that represents the variation of a variable when compared with that of one or more other variables.

The quantity of Chemical B is plotted against the quantity of  Chemical A.

Chemical B  is plotted on the vertical axis using the scale of 1 cm to represent 2 units. Chemical A is plotted on the horizontal axis using the scale of 1 cm to represent 1 unit.

Therefore, on the graph, the line passing through the origin of the graph shows that when  1.4 g of Chemical A is used  1.6 g of Chemical B is needed.

Chemical B  is plotted on the vertical axis using the scale of 1  cm to represent 2 units.

To get the amount of Chemical B is  on vertical axis =  2 grams

                                                                                             5 boxes

                                                                                       =0.4 g

Tracing the mass of Chemical A used 1.4 g it meets the line passing through the center at 4th line (4th box).

To get the amount of Chemical B is  on vertical axis = amount of Chemical B per box * the number of line (boxes).

To get the amount of Chemical B is  on vertical axis = 0.4 g * 4 lines (boxes)

                                                                                        = 1.6 g

Hence The amount of Chemical  B needed is 1.6 g.

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Answer:

1. Equation: x/-9=-16

solution: x=144

2. Equation:15*x=-75

solution: x=-5

3.Equation:0.75n=36

solution: n=48

Step-by-step explanation:

Answer:33.41

Step-by-step explanation:

Answer:

33.41

Step-by-step explanation:

easiest way to do this is start by adding 21 and 12 which is 33

and the next and final step is to add .41 and 0 which is .41 and then you just add .41 to 33 which is 33.41 which is your answer

21 + 12 = 33

.41 + 0 = .41

33 + .41 = 33.41

hope this helps

The equation that can be solved when the given quadratic formula is used is c. 3x² + 8x − 10 = -8.

The given quadratic equation is:

x = (-8 ± √(8² - 4(3)(-2))) / 2 (3)

Rewriting the quadratic equation in option C gives:
3x² + 8x − 2 = 0

Seeing as a quadratic equation takes the form:

x = (-b ± √(b² - 4(a)(c))) / 2 (a)

The formula becomes:

x = (-8 ± √(8² - 4(3)(-2))) / 2 (3) which is the given quadratic formula.

In conclusion, option C is correct.

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Answer:

n= s/180 +2

Step-by-step explanation:

Hope this helps.

Answer:

n = S/180 +2

Step-by-step

S= (n-2)180

S/180=n-2

S/180+2=n

n=s/180+2

A parallelogram is a geometrical shape such that its adjacent angles are supplementary, in other words, the addition of two angles that are next to one another is equal to 180°.

In the figure, b is next to c, b is next to a and a is next to the 30° angle; therefore:

We have a system of three equations and three unknowns, we can solve it as follows:

Thus, the answers are a=150°, b=30°, c=150°

Answer:

\(\bold {\boxed {y = -4x^2 +24x - 28}}\)

Step-by-step explanation:

A quadratic equation is of the form

\(\displaysize {y = ax^2 + bx + c}\\\\\)

This can be written in the vertex form as
\(y = (x-h)^2 + k\\\\\)

where (h, k) are the coordinates of the vertex of the quadratic parabola

Since
\(f(3 + \sqrt2) = 0 \\f(3 - \sqrt2) = 0\\\\\)

The roots of the equation from the given data are

\(x = 3 + \sqrt2 \;and \\\\x = 3 - \sqrt2\\\\\)

This means the axis of symmetry is at x = 3 or h = 3

The equation in vertex form is therefore

\(y = a(x -3)^2 + k\)

Since

\(f(3 + \sqrt2) = 0\)

Substituting for \(x = 3 + \sqrt2 \textrm{ in the vertex equation above gives us}\)

\(y = a(3 + \sqrt2 - 3)^2 + k = 0\\\\\)

\(\rightarrow a(\sqrt2)^2 + k = 0\\\\\\\rightarrow 2a + k = 0\\\\\)[1]

We are also given y = -8 when x = 1

Therefore substituting for x = 1 we should get

\(a(1-3)^2 + k = -8\\\\\\a(-2)^2 + k = -8\\\\4a + k = -8\\\\\)[2]

Subtract Equation [1] from equation [2] to eliminate k and get

4a - 2a = - 8 -0

2a = -8

a = -4

Substitute for a in equation2a + k = 0 to get

2(-4) + k = 0

-8 + k = 0

k = 8

Therefore the equation in vertex form is

y = -4(x-3)² + 8

We can rewrite this in the standard form as

==> -4(x² - 6x + 9) + 8

==> -4x² + (-4)(-6)x +(-4)(9) + 8

==> -4x² +24x -36 + 8

==> -4x² + 24x - 28

So the quadratic equation is

\(\bold {\boxed {y = -4x^2 +24x - 28}}\)

The attached plot shows the parabola with all the parameters

Since the coefficient of x², a, is negative, the parabola opens downward

The trigonometric function for an angle \(\dfrac{\pi}{4}\) is

\(tan\theta =1\ \ \ \ Cos \theta=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta = \dfrac{\sqrt{2}}{2}\)

The trigonometric function for an angle \(\dfrac{\pi}{6}\) will be:-

\(tan\theta = \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta = \dfrac{1}{2} \ \ \ \ \ Cos \theta = \dfrac{\sqrt{3}}{2}\)

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

The trigonometric function for an angle \(\dfrac{\pi}{4}\) is

\(tan\theta = tan\dfrac{\pi}{4}=1\ \ \ \ Cos \theta=Cos\dfrac{\pi}{4}=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta =Sin\dfrac{\pi}{4}= \dfrac{\sqrt{2}}{2}\)

The trigonometric function for an angle \(\dfrac{\pi}{6}\) will be:-

\(tan\theta=tan \dfrac{\pi}{6}= \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta =Sin\dfrac{\pi}{6}= \dfrac{1}{2} \ \ \ \ \ Cos \theta = Cos\dfrac{\pi}{6}= \dfrac{\sqrt{3}}{2}\)

Therefore the trigonometric function for an angle \(\dfrac{\pi}{4}\) is

\(tan\theta =1\ \ \ \ Cos \theta=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta = \dfrac{\sqrt{2}}{2}\)

The trigonometric function for an angle \(\dfrac{\pi}{6}\) will be:-

\(tan\theta = \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta = \dfrac{1}{2} \ \ \ \ \ Cos \theta = \dfrac{\sqrt{3}}{2}\)

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The area of the rectangle is 173.25 centimeter².

What exactly is a rectangle?

A rectangle is a two-dimensional form having four sides and four 90-degree right angles. It is a quadrilateral, which implies that it has four sides. A rectangle, unlike a square, has two pairs of equal-length sides. A rectangle's opposite sides are parallel and have the same length. A rectangle's length is typically referred to as its "longer side" or "length," while its width is usually referred to as its "shorter side" or "width."

Now,

Let's shorter side of the rectangle = "x". Then, we know that the longer side is "x + 6" since it is 6cm longer than the shorter side.

The perimeter of a rectangle is the sum of the lengths of all four sides. So, we can write:

Perimeter = 2(length + width)

Substituting the values we know, we get:

54 = 2(x + x + 6)

Simplifying and solving for x, we get:

54 = 4x + 12

42 = 4x

x = 10.5

So, the shorter side of the rectangle is 10.5cm, and the longer side is 16.5cm (10.5 + 6).

The area of a rectangle is found by multiplying the length by the width. So, the area of this rectangle is:

Area = length x width

Area = 10.5 x 16.5

Area = 173.25

Therefore, the area of the rectangle is 173.25 square centimeters.

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Answer:

4% of 50% of 5 is 0.1

Use a calculator.

(Answer was deleted for "incorrect" as it was correct as that's what I got as an answer.)

Answer: 120

Step-by-step explanation: divide 24 by 5 to get 4.8 so its 4.8 minutes for one question

25 x 4.8 = 120

Using a standard normal distribution table or calculator, we can find the probability associated with these z-scores. The probability that their score will be between 21 and 26 is approximately 0.387.

For the first question, we are given that the average weight of children with ELBW is 815 grams with a standard deviation of 100 grams. We want to find the probability that an SRS of 45 children with ELBW weighs less than 825 grams.

To find this probability, we can use the normal distribution. Since we have the mean and standard deviation, we can standardize the variable by calculating the z-score.

The z-score is calculated as (825 - 815) / (100 / sqrt(45)) = 0.474.

Using a standard normal distribution table or calculator, we can find the probability associated with this z-score. The probability that an SRS of 45 children with ELBW weighs less than 825 grams is approximately 0.678.

For the second question, we are told that the length of human pregnancies is approximately normally distributed with a mean of 266 days and a standard deviation of 16 days. We want to find the probability that the average pregnancy length for 7 randomly chosen women exceeds 270 days.

To find this probability, we can use the central limit theorem. The distribution of sample means will be approximately normally distributed with the same mean as the population and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

The standard deviation of the sample mean is 16 / sqrt(7) = 6.048.

We can now standardize the variable by calculating the z-score. The z-score is (270 - 266) / 6.048 = 0.662.

Using a standard normal distribution table or calculator, we can find the probability associated with this z-score. The probability that the average pregnancy length for 7 randomly chosen women exceeds 270 days is approximately 0.253.

For the third question, we are given that scores on the MCAT are approximately normally distributed with a mean of 25 and a standard deviation of 6.5. We want to find the probability that a sample of 10 students will have an average score between 21 and 27.

To find this probability, we can use the central limit theorem. The distribution of sample means will be approximately normally distributed with the same mean as the population and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

The standard deviation of the sample mean is 6.5 / sqrt(10) = 2.053.

We can now standardize the variable by calculating the z-scores for the lower and upper limits.

For the lower limit, the z-score is (21 - 25) / 2.053 = -1.949.
For the upper limit, the z-score is (27 - 25) / 2.053 = 0.975.

Using a standard normal distribution table or calculator, we can find the probability associated with these z-scores. The probability that this sample will have an average score between 21 and 27 is approximately 0.778.

For the fourth question, we are given that scores on the MCAT are approximately normally distributed with a mean of 25 and a standard deviation of 6.5. We want to find the probability that the score of one WSSU student will be between 21 and 26.

To find this probability, we can calculate the z-scores for the lower and upper limits.

For the lower limit, the z-score is (21 - 25) / 6.5 = -0.615.
For the upper limit, the z-score is (26 - 25) / 6.5 = 0.154.

Using a standard normal distribution table or calculator, we can find the probability associated with these z-scores. The probability that their score will be between 21 and 26 is approximately 0.387.

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Answer:

25 pencils

Step-by-step explanation:

Because  2×5  is 10, multiply 5 by 5 to obtain 25.

The number of pencils in the larger package will be 25.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that a certain Store is selling packages of 10 pencils and 4 pens for back to school. The store manager wants to make a larger package in the same ratio. If the large package has 10 pens.

Ratio for small package = 10 : 4 = 5 : 2

The large package has 10 pens. then the portion of the pens in the larger package will be 5.

The number of pencils in the larger package will be:-

Number of the pencils = 5 x 5 =25

Therefore, the number of pencils in the larger package will be 25.

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Answer:

there are no statement, but if this is a multiple-choice answer, I would have to guess it is B

Step-by-step explanation:

Hope this helps!

Answer:

(2a + 3b)² = 121

Step-by-step explanation:

given 4a² + 9b² = 25 and ab = 8

(2a + 3b)² ← expand using FOIL

= 4a² + 6ab + 6ab + 9b²

= 4a² + 9b² + 12ab ← substitute given values from above

= 25 + 12(8)

= 25 + 96

= 121

Answer:

1.15 dollars

Step-by-step explanation:

To calculate the cost of 1 pound of apples, we can divide the total cost of 4 pounds of apples by 4.

The total cost of 4 pounds of apples is 4.60 dollars.

So, the cost of 1 pound of apples would be 4.60 / 4 = 1.15 dollars.

The cost in dollars of 1 pound apples is $1.15

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers.

The process of dividing a number up into equal parts, and finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Division is breaking a number up into an equal number of parts.

Given that, a shopper buys 4 pounds of apples for 4.60, we need to find the cost in dollars of 1 pound of apples,

To calculate the cost of 1 pound of apples, we can divide the total cost of 4 pounds of apples by 4.

The total cost of 4 pounds of apples is 4.60 dollars.

So, the cost of 1 pound of apples would be 4.60 / 4 = 1.15 dollars.

Hence, the cost in dollars of 1 pound apples is $1.15

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Answer:

1.6962 = 1.70 (2 dp)

0.4247 = 0.425 to 3 dp

0.007395 = 0.007 to 3 dp

0.007395 = 0.0074 to 4 dp

32549 = 32500 to 3 significant figures

32549 = 32550 to 4 significant figures

909520 = 910000 to 3 significant figures

909520 = 909500 to 4 significant figures

Step-by-step explanation:

1.6962 = 1.70 (2 dp)

0.4247 = 0.425 to 3 dp

0.007395 = 0.007 to 3 dp

0.007395 = 0.0074 to 4 dp

32549 = 32500 to 3 significant figures

32549 = 32550 to 4 significant figures

909520 = 910000 to 3 significant figures

909520 = 909500 to 4 significant figures

the answer I got is 30

Step-by-step explanation:

92-32=60 60-16=44 36-4=32 32-2=30

Answer:

No, 0.5m is 50cm, and so 17 is less than 50 and not half a meter.

Answer:

yes

Step-by-step explanation:

0.5 m is 50 cm

Answer:

5.88 x 1012

Step-by-step explanation:

To write each of these numbers in decimal notation, you move the decimal point the same number of places as the exponent. If the exponent is positive, move the decimal point to the right. If the exponent is negative, move the decimal point to the left. If you start at the decimal of 5.88 and move it 12 spaces to the right, then you get 5,880,000,000,000 miles.

The number represented in scientific notation is 5.88×1013.

It is the way of writing a large number between 1 to 10 with a power of 10.

We have,

5,880,000,000,000 miles is equivalent to 1 light year.

We can convert this number to scientific notation by moving the decimal point 13 places to the left

(because there are 13 zeros in 5,880,000,000,000) and multiplying by 10 raised to the 13th power:

So,

= 5,880,000,000,000

= 5.88 × 10¹³

Therefore,

The number represented in scientific notation is 5.88×1013.

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Answer:

To calculate the cost of painting the top surface of 20 engine parts, we need to find the surface area of one engine part and then multiply it by 20.

To find the surface area, we need to find the length of the curved surface. We can do this by using the Pythagorean theorem to find AB and then use that to find the circumference of the curved surface.

AB^2 = BO^2 + AO^2 = 9 + 36 = 45

AB = sqrt(45) = 3 sqrt(5)

Circumference = 2 * pi * AB = 2 * pi * 3 sqrt(5) = 6 pi sqrt(5)

Using the fact that the reflex angle BÔC is 240 degrees, we can find the length of the curved surface:

240° / 360° = 2/3 of the circumference

Curved surface length = 2/3 * 6 pi sqrt(5) = 4 pi sqrt(5)

Finally, we can find the surface area of one engine part:

Surface area = (2 * 6 * 3) + (4 pi sqrt(5) * 6) = 36 + (24 pi sqrt(5))

To paint 20 engine parts, the cost would be:

20 * surface area * 15p = 20 * 36 + 20 * 24 pi sqrt(5) * 15p = 720 + (24 * 20 * 15 * pi * sqrt(5)) p = 720 + 720 pi sqrt(5) p

Since 1 pound is equal to 100 pence, the cost in pounds would be:

720 + 720 * pi * sqrt(5) / 100 = 720 + 720 * 0.177 / 100 = 720 + 1.264

So, the cost to paint the top surface of 20 engine parts would be 721.264 pounds.

To solve the equation \(tan 25^{o} + tan 110^{o} = \frac{-1}{1-tan25^{0}tan110^{o} }\), we first need to simplify the expression on the right-hand side. Using the identity for the tangent of the sum of two angles.

\(tan(25^{o} + 110^{o} ) =\) \(\frac{(tan 25^{0} + tan 110^{0} )}{(1 - tan 25^{0} tan 110^{0} )}\)
Multiplying both sides by the denominator on the right-hand side of the original equation. We can substitute the expression on the left-hand side with the tangent of the sum of two angles:

\(\frac{(tan 25^{o} + tan 110^{o} )}{(1 - tan 25^{o} tan 110^{o} )} =-1\)

\(tan(25^{o} + 110^{o} ) = tan 135^{0} = -1\)
Therefore, the equation simplifies to:

-1=-1
This is a true statement, so the original equation is satisfied. Therefore, the solution to the equation is:

\(tan 25^{o} + tan 110^{o} =\frac{-1}{1-tan 25^{o} tan 110^{o}}\) is true for any values of tan 25∘ and tan 110∘.
To solve the given equation using the given terms, you can use the tangent addition formula:

\(tan(A + B) = \frac{ (tanA + tanB)}{ (1 - tanAtanB)}\)
Here, A = 25° and B = 110°. Plugging in these values, we have:

\(tan(25^{o} + 110^{o} ) = (tan(25^{o} ) + tan(110^{o})) / (1 - tan(25^{o}) tan(110^{o} ))\)
Now, we need to find if \(tan(25^{o} + 110^{o} )\) equals -1:

\(tan(135^{o} ) = \frac{ (tan(25^{o} ) + tan(110^{o} ))}{ (1 - tan(25^{o} )tan(110^{o} ))}\)
As tan(135°) is indeed equal to -1, the given equation is true.

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