the question and answer is on the picture

Yes, the mysteries equal 0.06 of the total books.

Marcella said that the mysteries equal 0.06 of the total books.

To check the mysteries equal 0.06 of the total books is correct or not.

We can follow these steps:

1. Identify the total number of books and the number of mysteries: Marcella read 100 books, and 60 of them were mysteries.

2. Calculate the fraction of mysteries: Divide the number of mysteries (60) by the total number of books (100) to find the fraction of mysteries.

3. Compare the fraction with Marcella's claim: If the calculated fraction equals 0.06, then she is correct.

Now let's perform the calculations:

60 mysteries ÷ 100 total books = 0.6

Since 0.6 ≠ 0.06, Marcella's claim that the mysteries equal 0.06 of the total books is incorrect. In reality, mysteries make up 0.6 or 60% of the total books she read.

A model to support this answer could be a pie chart, where the circle represents the 100 books, and the mysteries portion is shaded in. By dividing the circle into 10 equal sections, the mysteries would fill 6 of those sections, which represents 60% of the total books.

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If 9 seeds are planted, what is the probability that exactly 3 don't grow will be 1/5832000 as 5% chance are there that plant will not grow.

The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The chances of seed to be not growing is 1–0.95 =0.05.

For 3 seeds not to grow being simultaneous occurring events have the probability = 0.05×0.05x0.05=0.000125

As 9 seeds being planted the probability of selecting 1 out of 9 is (1/9).

So for 3 mutual occurring case is (1/9)×(1/9)x(1/9)= 1/729

So the probability will be (1/729)×1/8000=1/58,32,000

The likelihood that exactly 3 seeds out of 9 will not germinate is 1/5832000, or 5%, so there is a chance that the plant won't grow.

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Answer:

djdjjdjdjjdjdjdd

Step-by-step explanation:

FMECA is a bottom-up hardware approach to risk assessment. It is an inductive, or data-driven, linking elements of a failure chain as follows: Effect of Failure, Failure Mode, and Causes/Mechanisms. To estimate the reliability of software, most software prediction models use the probability density function to predict "Mean Time To Failure."

FMECA is a systematic and structured analytical methodology used to identify potential failures in a system, equipment, process, or product, and to assess the effect and probability of those failures. FMECA stands for Failure Modes, Effects, and Criticality Analysis. FMECA is similar to FMEA (Failure Modes and Effects Analysis) in that it is used to identify failure modes and assess their risk.

However, FMECA goes beyond FMEA by analyzing the criticality of each failure mode. This makes it an effective tool for identifying the most significant failure modes and prioritizing them for corrective action. A Probability Density Function (PDF) is a function that describes the likelihood of a random variable taking on a particular value.

PDF is used in software prediction models to estimate the reliability of software by predicting "Mean Time To Failure" (MTTF). MTTF is the average time between failures of a system, equipment, process, or product.

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Let:

x = original sides.

x + 4 = new width

x - 2 = new feet

So:

(x + 4)(x - 2) = 91

x² - 2x + 4x - 8 - 91 = 0

x² + 2x - 99 = 0

Factoring:

(x + 11)(x - 9) = 0

x = -11 (the lenght can't be negative so this answer is not valid)

x = 9 ft

The standard deviation is 4.95.

The standard deviation is the average amount of variability in your dataset. It tells you, on average, how far each value lies from the mean.

A high standard deviation means that values are generally far from the mean, while a low standard deviation indicates that values are clustered close to the mean. The standard deviation and the mean together can tell you where most of the values in your frequency distribution lie if they follow a normal distribution.

Dataset: 1,2,4,7,8

So, n = 5 (because the sample size is 5)

We calculate the mean X by taking the average of the data values, which is dividing the sum of the data values by the number of data values:

X = 1+2+4+7+8/5

X=22/5 = 4.4

So, the average is 4.4

For standard deviation calculation,

$ = \({\sqrt{(x-X)^2/n-1} }\)

Thus, the standard deviation is 4.95.

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The pair of (A) are orthogonal. (B) are parallel and (C) are orthogonal. In three-dimensional space, a plane is defined by a point and a normal vector. The normal vector is perpendicular to the plane, so we can use it to determine if two planes are parallel or orthogonal.

a) To determine if the planes are orthogonal or parallel, we need to compare their normal vectors. The normal vector of the first plane is <1, 1, -3>, and the normal vector of the second plane is <4, -6, 4>. To check if they are orthogonal, we need to take the dot product of the two vectors. 1(4) + 1(-6) + (-3)(4) = 0, which means they are orthogonal.
b) The normal vectors of the two planes are <-21, 14, 7> and <15, -10, -5>. To check if they are parallel, we need to see if one vector is a scalar multiple of the other. We can divide the first vector by -7 and get <3, -2, -1>, which is a scalar multiple of the second vector (we can multiply it by -5 to get the second vector). Therefore, they are parallel.
c) The normal vectors of the two planes are <1, -5, 4> and <-2, 6, 8>. To check if they are orthogonal, we need to take the dot product of the two vectors. 1(-2) + (-5)(6) + 4(8) = 0, which means they are orthogonal.
In three-dimensional space, a plane is defined by a point and a normal vector. The normal vector is perpendicular to the plane, so we can use it to determine if two planes are parallel or orthogonal. If the dot product of the normal vectors is zero, the planes are orthogonal. If one normal vector is a scalar multiple of the other, the planes are parallel. If the dot product is not zero and one normal vector is not a scalar multiple of the other, the planes are neither parallel nor orthogonal - they intersect in a line. These concepts are important in many areas of mathematics, including linear algebra and calculus. In linear algebra, we use these ideas to study systems of linear equations and to find the solutions to those systems. In calculus, we use them to study the behavior of surfaces and to calculate surface integrals.

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y = (-1/2)x + 4 is the equation for the linear function with an x-intercept of 8 and a y-intercept of 4.

We are aware that lines might have several kinds of equations; the typical form is

The equation of a line in slope-intercept form is Ax + By + c = 0, and

y = mx + b.

m is the slope, and b is the y-intercept.

The y-intercept, or (0,b), is the point where the line crosses the y-axis at x = 0. The slope represents the rate of change of the y-axis relative to the x-axis.

Given, An x-intercept for a linear function is 8, and a y-intercept is 4.

The two points on the line are therefore (8, 0) and (0, 4).

Slope(m) is now equal to (4 - 0)/(0 - 8).

m slope = 4/8.

slope(m) equals -1/2.

With a y-intercept of 4, it represents the value of b in the equation y = mx + b.

Consequently, the equation is y = (-1/2)x + 4 is linear.

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Considering that she does not know the population standard deviation, the hypothesis test that she should use is given by:

c. one-sample, left-tailed t-test for a mean.

First, we consider that she does not know the population standard deviation, hence a t-test should be used instead of a z-test.

Then, we consider that she suspects that the mean weight is less than 15 lb, and less is associated with a left-tailed test, instead of a right-tailed(associated with more) or a two-tailed(associated with different).

Hence option c is correct.

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Answer:

0.2 seconds

Step-by-step explanation:

The graph of b(t) = -16t^2 + 5t + 15 is a parabola opening downward.  The maximum value of b(t) occurs at the vertex.  The t-coordinate of the vertex is t = -5 / (2(-16)) = 5/32 = 0.15625 sec ≈ 0.2 sec.  

Answer:

A) 0.2 seconds

Step-by-step explanation:

\(b(t)=-16t^2+5t+15\)

\(v(t)=-32t+5\) <-- Take the derivative

\(0=-32t+5\) <-- Set equal to 0

\(-5=-32t\)

\(\frac{5}{32}=t\)

\(t=\frac{5}{32}\)

\(t\approx0.2\)

Therefore, it will take the ball about 0.2 seconds to reach its maximum height (which happens to be about 15.4 feet BTW).

Alternatively, another non-calculus approach is the fact that the parabola opens downward, and as such, the maximum of \(b(t)\) occurs at the vertex where \(t=-\frac{b}{2a}\), therefore \(t=-\frac{5}{2(-16)}=\frac{-5}{-32}=\frac{5}{32}\approx0.2\)

The marginal cost of producing 120 items is $574.2 per item (rounded to the nearest tenth).

To find the marginal cost of producing 120 items we need to substitute q = 120 into the given marginal cost function \(MC(q) = 0.003q^2 - 0.7q + 615.\)

The marginal cost function calculates the cost of producing one additional unit and is typically by the represented as a mathematical equation.

Given That

\(MC(120) = 0.003(120)^2 - 0.7(120) + 615\)

= 0.003(14400) - 84 + 615

= 43.2 - 84 + 615

= 574.2

Therefore the marginal cost of producing 120 items is $574.2 per item (rounded to the nearest tenth).

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Angle b = 31

b=8

c=13

not 100% sure

Cora is flipping three coins at once. The probability that the number of landed coins showing "heads" is less than 3 is 0.875

Probability is a measure how likely an event occurs. Probability of an event A is calculated as:

P(A) = number of ways A can occur / total possible outcomes

Let A and B be independent events, then the followings hold:

P (A and B) = P (A∩B) = P(A) + P(B)

P (A or B) = P (A∪B) = P(A) · P(B)

P (not A) = P(Ā) = 1 - P(A)

In the given problem, H is an event where the number of landed coins showing heads.

The probability distribution for H is:

P(H = 0) = 0.125

P(H = 1) = 0.375

P(H = 2) = 0.375

P(H = 3) = 0.125

The probability of three coins show heads less than 3 is:

P(H < 3) = 1 - P(H=3)

             = 1 - 0.125 = 0.875

It can also be obtained using:

P(H<3) = P(H=0) + P(H=1) + P(H=2)

           = 0.125 + 0.375 + 0.375

           = 0.875

Hence, the probability of three coins show heads less than 3 is 0.875.

Complete question:

Cora is playing a game that involves flipping three coins at once. Let the random variable H be the number of coins that land showing "heads". Here is the probability distribution for H:

P(H = 0) = 0.125, P(H = 1) = 0.375, P(H = 2) = 0.375, P(H = 3) = 0.125. What is the probability H is less than 3.

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Answer:

Part E is the pic

Part F is the triangle

sorry if it is kinda blurry

Part 6:

You've seen two methods for finding the area of AABC-using coordinate algebra (by hand) and using geometry software.

How are the two methods similar?

They both apply the fundamentals of triangle geometry in solving the area of a triangle using the formula for the area of triangle 1/2×base of triangle×height of the triangle.

How are they different?

Using coordinate algebra in finding the area of a triangle, you would have to measure coordinates(XY coordinates) of a triangle manually on the graph and find y coordinates based on x. If you used geometry software, it would get these coordinates automatically(based on your graph on the software) and calculate the area of the triangle using the formula.

Why might coordinate algebra be important in making and using geometry software?

A solid grasp of coordinate algebra allows you to understand how the geometry software works because it makes use of the same geometry fundamentals, making it easier for you to tweak and get the best value out of the software for your geometry calculations.

Answer:

16x25x15=6000

4+11÷2=9.5

Step-by-step explanation:

1) 16x25x15 is 16 times 25 times 15, which is 6000

2) This question requires BIDMAS/BODMAS. As you start with the multiplication (Brackets Indices Multi Divide Add Subtract) 11÷2 = 5.5, 5.5+4=9.5

Answer:

20 feet

Step-by-step explanation:

To find the height of the ramp, we can use trigonometry and the relationship between the angle of inclination, the opposite side, and the hypotenuse of a right triangle.

In this case, the height of the ramp is the opposite side, and the length of the ramp (40 feet) is the hypotenuse. The angle of inclination, which is 30°, is the angle between the height (opposite) and the length (hypotenuse) of the right triangle.

Using the trigonometric function sine (sin), we can calculate the height of the ramp as follows:

sin(30°) = opposite/hypotenuse

Rearranging the equation to solve for the opposite side (height), we get:

opposite = sin(30°) x hypotenuse

Substituting the values we know, we get:

opposite = sin(30°) x 40 feet

opposite = 0.5 x 40 feet

opposite = 20 feet

20 feet

The equation is sin30 = x/40. U would type 30 sin in the calculator to get 0.5. Then u multiply that by 40 to get the answer 20.

Hope this helped :)

Answer:

\(5\sqrt{7} \)

Step-by-step explanation:

\(\frac{30\sqrt{14} }{6\sqrt{2} } \)

Cancel out 6 in both numerator and denominator.

\(\frac{5\sqrt{14} }{\sqrt{2} } \) Rationalize the denominator of \(\frac{5\sqrt{14} }{\sqrt{2} } \) by multiplying the numerator and denominator by \(\sqrt{2} \).

\(\frac{5\sqrt{14}\sqrt{2} }{(\sqrt{2})^{2} } \)

The square of  \(\sqrt{2} \) is 2

Factor 14=2 × 7. Rewrite the square root of the product \(\sqrt{2x7} \) as the product of square roots \(\sqrt{2}\sqrt{7} \).

\(\frac{5\sqrt{2}\sqrt{7}\sqrt{2} }{2} \)

Multiply \(\sqrt{2} \) and \(\sqrt{2} \) to get 2.

\(\frac{5x2\sqrt{7} }{2} \)

Cancel out 2 and 2.

\(5\sqrt{7} \)

Hope it helps and have a great day! =D

Answer:

they need brainliest :)

The fourth ordered pair using the two

sequences is ( 7/3 ,106) .

The first sequence is constructed by first multiplying the terms by 2 and then adding one-third starting from zero. So, sequence starts from 0.

First term of first sequence, a₁ = 0

a₂ = (2x0) + 1/3 = 1/3

a₃ = (2x1/3) + 1/3 = 2/3 + 1/3 = 1

a₄ = (2x1) + 1/3 = 2 + 1/3 = 7/3

Hence, the sequence is 0, 1/3, 1, 7/3, ...

The second sequence is constructed by first adding one half in terms and then multiplying by 4. The sequence starts from 1 ,

a₁ = 1

a₂ = (1 +1/2) × 4 = (3/2)4 = 6

a₃ = (6+1/2) x 4 = 13/2 x 4 = 26

a₄ = (26 + 1/2)× 4 = 53/2 x 4 = 106

Hence, the sequence is 1, 6, 26, se106, ...

Therefore, the fourth terms of the two sequences are the following, 7/3 and 106.

So, required ordered pairs is ( 7/3, 106).

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כ

165 quarters and 11 nickles

Answer:

130 N/cm2

Step-by-step explanation:

7.8 cm2 -> 50N/cm2

3 cm2 -> x N/cm2

x = (50×7.8) / 3

x = 130N/cm2

Answer:

i think the second one,im not sure tho

Step-by-step explanation:

Step-by-step explanation:

1  similar , the two triangles have all three angles =   80,62,38

2 not similar   no 3 = angles

3 not  similar   no 3 = angles

9514 1404 393

Answer:

  25,975 in²

Step-by-step explanation:

Since your j+k < i, we assume that not all of these dimensions are side lengths. If we assume ...

  i = 170 in

  J = 119°

  K = 42°

Then we can find side j using the law of sines.

  I = 180° -119° -42° = 19°

Then the law of sines tells us ...

  j/sin(J) = i/sin(I)

  j = i·sin(J)/sin(I) = (170 in)sin(119°)/sin(19°) = 456.695

Then the area of the triangle is ...

  A = (1/2)(i·j·sin(K)) = (1/2)(170 in)(456.695 in)sin(42°) ≈ 25,975.03 in²

The area of triangle IJK is about 25,975 square inches.

The vector AC can be expressed in terms of vector AB and vector BC as follows:

In Euclidean geometry, a parallelogram is described as a simple quadrilateral with two pairs of parallel sides.

We have that  ABCD is a parallelogram, vector AC is equivalent to vector BD, which can be expressed in terms of vector AB and vector BC as follows:

Vector BD = Vector AB + Vector BC

We can substitute BD for AC in the above equation because  vector AC is equivalent to vector BD, we obtain the following:

Vector AC = Vector AB + Vector BC

In conclusion, vector AC can be expressed in terms of vector AB and vector BC as the sum of vector AB and vector BC.

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Given that the grocery store manager took inventory of all the fruit to decide what needed to be donated. Of the 8 pieces of fruit deemed "overripe," 5 were peaches.The manager randomly selected 4 of the overripe pieces for the first donation package. We are supposed to find the probability that all of them are peaches.

We can solve the given problem as follows:

P(All four overripe pieces are peaches) =  (Number of ways to select 4 peaches from 5 peaches) / (Number of ways to select any 4 pieces from 8 overripe pieces)

We can solve for the number of ways to select 4 peaches from 5 peaches as:

5C4 = 5 ways [combinations of 4 peaches from 5 peaches]

We can solve for the number of ways to select any 4 pieces from 8 overripe pieces as:

8C4 = 70 ways [combinations of 4 pieces from 8 overripe pieces]

Now we can substitute the above values in the formula of probability, we get:

P(All four overripe pieces are peaches) = 5C4/8C4

= 5/70

= 0.0714 (rounded to 4 decimal places)

Therefore, the probability that all four overripe pieces are peaches is 0.0714 (rounded to 4 decimal places). Hence, option A is the correct answer.

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Answer:

To find the tens and units digit of the product, we only need to focus on the last two digits of the product.

First, we multiply 8 x 6, which gives us 48. So the units digit is 8 and we carry-over the 4 to the tens digit.

Next, we multiply 7 x 6, which gives us 42. We add the carry-over 4, which gives us 46. So the tens digit is 6 and we carry-over the 4.

Continuing with the multiplication, we get:

6 x 0 = 0 (no carry-over)

6 x 7 = 42 (carry-over 4)

6 x 2 = 12 (carry-over 1)

Adding the carry-over, we get:

4 + 4 + 1 = 9

Therefore, x+y= 8 + 6 = 14

Answer:

The greatest number of miles that she can travel is 36(2/3) miles

Step-by-step explanation:

m=miles

25+1.50m ≤ 80

1.5 m ≤ 55

m ≤ 36.66666......

m ≤ 36 (6/9)

m ≤ 36(2/3)

Answer:

16 it's answer

Step-by-step explanation:

√121 + ³√125

11+5

16

The natural frequency of the system with the transfer function  

K/ s(s+4)(s+6) is 2.39. The natural frequency of a system is the frequency at which the system will oscillate if it is disturbed from its equilibrium position.

The natural frequency of the system can be found by finding the roots of the characteristic equation of the system. The characteristic equation of the system with the transfer function  

s^3 + 10s^2 + 24s + 24K = 0

The roots of the characteristic equation are the poles of the transfer function. The natural frequency of the system is the real part of the pole with the largest imaginary part.

The roots of the characteristic equation can be found using the quadratic formula. The root with the largest imaginary part is 2.39. Therefore, the natural frequency of the system is  2.39

​

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The correct representations of the inequality expression are (a) 6x – 15 > -10 + 5x and (c) 3(2x – 5) > -5(2 – x)

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

–3(2x – 5) < 5(2 – x)

Divide bot sides of the inequality by -1

So, we have the following representation

3(2x – 5) > -5(2 – x)

Next, we open the brackets

This gives

6x – 15 > -10 + 5x

Hence, the representation is 6x – 15 > -10 + 5x

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Complete question

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

(a) 6x – 15 > -10 + 5x

(b) 6x – 15 < -10 + 5x

(c) 3(2x – 5) > -5(2 – x)

(d) 3(2x – 5) < -5(2 – x)

Answer:

252 mi

Step-by-step explanation:

volume= L x W x H

9x 7 x 4 = 252 mi