Which fraction is not equivalent to 9/12 ?

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Answer:

98 mins

Step-by-step explanation:

147.5 +x = 245.5

x = 245.5-147.5

x= 98 mins

Let x and y be the first and second number.

The sum is 44

x + y = 44

if one of the number, say x , us 13, the other number , y is:

13 + y = 44

y = 44- 13

y = 31

The two numbers are 13 and 31

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The length and width for a maximum area is 10 popsicle by 10 popsicle.

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let x represent the length to Craig's house and y represent the width. Hence:

2(x + y) = 40

x + y = 20

y = 20 - x      (1)

Area (A) = xy = x(20 - x)

A = 20x - x²

The maximum area is at A' = 0, hence:

A' = 20 - 2x

20 - 2x = 0

x = 10

y = 20 - (10) = 10

The length and width for a maximum area is 10 popsicle by 10 popsicle.

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The probability that none of the ten freshmen graduates from the local community college is approximately 0.006 or 0.6%.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

Assuming that the probability of each freshman graduating is independent of the others, the probability that none of the ten freshmen graduates is -

\(P = (0.6)^{10}\)

= 0.0060466176

Here, we are using the fact that the probability of a freshman not graduating is 1 - 0.4 = 0.6.

So, the probability value is obtained as 0.006 or 0.6%.

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Answer:

3.88

Step-by-step explanation:

Given that

42x = 163

It set 2x = 3

and x = 32

We need to tell the mistake and mentioned the correct answer

if we solve the above equation i.e.

42x = 163

x = 3.88

Hence, in this way it should be calculated

The same would be considered and relevant

Hence, the correct answer is 3.88

The length of a truck is an example of a continuous data set, and 20 feet is just one possible value within that range.

The given value, "a truck with a length of 20 feet," is an example of a continuous data set.

Continuous data refers to values that can take on any numerical value within a range, with no gaps or interruptions. In this case, the length of a truck can take on any value between 0 and some maximum length, with no gaps or interruptions in between.

In contrast, discrete data refers to values that can only take on certain specific values, usually integers. For example, the number of tires on a truck is a discrete data set because it can only take on integer values (e.g. 4, 6, 8).

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Answer:

\(2\sqrt{14}\)

Step-by-step explanation:

To find, do 9^2-5^2=\(\sqrt{x\\}\), so 81-25=56 which is 2\(\sqrt{14}\)

Answer:

\(2\sqrt{14}\)

Step-by-step explanation:

The missing side must be \(2\sqrt{14}\) for the Pythagorean Theorem to be true.

Hope it helps, have a fantastic day.

The probability that a randomly selected college student will find a parking spot in the library parking lot in less than 5.0 minutes, using the normal distribution, is of:

0.3085 = 30.85%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for the times are given as follows:

\(\mu = 5.5, \sigma = 1\)

The probability of taking less than 5 minutes is the p-value of Z when X = 5, hence:

Z = (5 - 5.5)/1

Z = -0.5.

Z = -0.5 has a p-value of 0.3085.

Hence the probability is of:

0.3085 = 30.85%.

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Answer:

Step-by-step explanation:

16% of 576

=16/100 x 576

=2304/25

=92 4/25

Answer:

y ≤ 2/3x - 3

Step-by-step explanation:

The volume of the pyramid is approximately 5.9 cm³.

To find the volume of a pyramid with a square base, you can use the formula:

Volume = (1/3) * base area * height

First, let's find the area of the square base. The perimeter of the base is given as 5.7 cm, which means each side of the square has a length of 5.7 cm / 4 = 1.425 cm.

The area of a square is given by the formula:

Area = side length * side length

Substituting the side length, we have:

Area = 1.425 cm * 1.425 cm = 2.030625 cm²

Now, we can calculate the volume of the pyramid:

Volume = (1/3) * base area * height

= (1/3) * 2.030625 cm² * 8.6 cm

= 5.91834375 cm³

Rounding to the nearest tenth of a cubic centimeter, the volume of the pyramid is approximately 5.9 cm³.

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Step-by-step explanation:

Brian takes = 43 minutes

Colin takes = 1 hour = 60 minutes

In ratio,

43/60

Answer:  8 pupils are absent

Step-by-step explanation:

20 percent * 40 =

(20* 40)/100 =

(800)100 =

 =8

Answer:

9/70

Step-by-step explanation:

Mathematically;

Average rate of change on an interval [a,b] is;

f(b) - f(a)/b-a

f(0) = -3/5

f(3) = -3/14

a = 0

b = 3

Making the substitution, we have

-3/14-(-3/5)/3-0

= 3/5-3/14/3

= (42-15)/70/3

= 27/70/3

= 27/70 * 1/3 = 9/70

Answer:

They are parallel because they have the same slope.

Step-by-step explanation:

Both equations have a slope of 3.

The roots have positive or same signs when c>0.

Note that only real numbers can be positive or negative. This concept does not apply to complex non real numbers. So first we have to make sure that the roots are real which occurs when discriminant is greater or equal to 0.

\(b^{2} -2ac > 0\\2^{2} -2(-1) (c) > 0\\4-2c > 0\\c > -2\)

Roots of quadrant equation have Samsame sign if product of roots >0.

\(\frac{a}{c} > 0\\\frac{c}{-1} > 0\\c < 0\)

Roots of quadratic equation have positive sign if product of roots<0.

c>0.

Combining results, we get:-

roots have positive signs when:-

c>0.

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Answer:

y = mx + b

Step-by-step explanation:

so you first put the points on the graph and connect them with a slanted line.

Next, for your equation start of with y =

then, your going to find your slope, after you find it put it in front of x (slope x) (Ex; if the slope was 3 then it would look like this 3x)

finally you write + and the y intercept (at which point the line goes through the y axis)

the equation together should look like y = slope x + y intercept

The graph of the equation x^2/49 + (y + 1)^2/4 = 1 is added as an attachment

The expression that represents the function in words is given as

StartFraction x squared Over 49 EndFraction + StartFraction (y + 1) squared Over 4 EndFraction = 1

Express the equation properly

So, we have

x^2/49 + (y + 1)^2/4 = 1

The above equation is an ellipse

Next, we plot the graph on a coordinate plane using a graphing tool

See attachment for the graph of the equation

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Answer: C = 31.42cm

Step-by-step explanation:

Analysis of Variance (ANOVA) is a statistical technique used to analyze the variance in a dataset and determine whether there are significant differences between the means of two or more groups.

It is used to test the effect of multiple independent variables on a single dependent variable. The statement is true.

ANOVA can be used to compare the means of different groups or treatments, to determine if there are any significant differences between them. This technique is commonly used in experimental studies to determine the effects of different levels of an independent variable on the dependent variable.

In summary, ANOVA is a powerful statistical tool used to analyze the effects of multiple independent variables on a dependent variable. It helps to determine if there are significant differences between the means of two or more groups and is commonly used in experimental studies.

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Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

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Answer:

Step-by-step explanation:

Remarks.

This can be solved as a proportion. A proportion is 2 ratios making a total of 4 parts. If we know 3 of the parts, we can solve for the 4th.

63/(8x - 2) = 49 /42

Notice that the given parts of the top triangle are the numerators of the ratios. The 2 parts of the bottom triangle are the denominators of the proportions

Proportion

63/(8x - 2) = 49 /42

Solution

63/(8x - 2) = 49 /42                        Cross Multiply

(8x - 2)*49 = 63 * 42                       Combine the right.

(8x - 2)*49 = 2646                           Divide by 49

8x - 2 = 54                                        Add 2 to both sides

8x -2+2=54+2                                   Combine

8x = 56                                              Divide by 8

8x/8 = 56/8                                        

Answer: x = 7

The number of boxes containing both pens and pencils is 2.

What is set?

A set is defined as a well-defined collection of distinct objects. It is denoted by the capital letters of the English alphabet. Its value remains the same for every individual.

Calculation for the number of boxes containing both pens and pencils

Total number of boxes is given by the union of two sets A and B; i.e. A∪B= 20

Boxes having pencils is given by the set A = 13

Boxes having pens is given by the set B = 9

Boxes having neither pens nor pencils, A'∩B' = 3

Boxes containing both pens and pencils are given by the intersection of the sets, A∩B

A∩B = A + B - A∪B

= 13 + 9 - 20

= 2

Hence, the number of boxes containing both pens and pencils is 2.

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Answer: D

Step-by-step explanation:

The equation to find the circumference of a circle is \(C=(diameter)\pi\).

Since we know the diameter we can put that to the equation and we get\(C=6.8\pi\) which is answer D.

By ''ASA postulate'' or theorem can be used to prove that triangle XYZ and Triangle LYZ are congruent.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Two triangles XYZ and Triangle LYZ are shown in figure.

Now,

From triangle XYZ and Triangle LYZ;

⇒ YZ = ZY ( Common side )

⇒ ∠ YXZ = ∠ YLZ  

( By definition of isosceles triangle)

⇒ ∠ YZX = ∠ YZL

(Right angles)

Hence, By ''ASA postulate'' or theorem can be used to prove that triangle XYZ and Triangle LYZ are congruent.

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To say that two variables are negatively correlatted means that when one variable increases, the other variable decreases.

Negative correlation refers to a relationship between two variables where they tend to move in opposite directions. When one variable increases, the other variable tends to decrease, and vice versa. This negative relationship indicates an inverse association between the two variables.

Option A, "When one variable increases, the other decreases," accurately describes negative correlation. As one variable increases, the other variable decreases, reflecting the negative relationship between them.

Negative correlation does not imply that both variables change at the same rate (Option D). In negative correlation, the relationship is characterized by the opposite direction of change, not necessarily the same magnitude or rate of change.

Option B, "When variable increases, the other also," suggests a positive correlation, where both variables move in the same direction. This is not the case in negative correlation.

Option C, "When one variable decreases, the other also decreases," is a misinterpretation of negative correlation. In negative correlation, when one variable decreases, the other variable tends to increase, not decrease.

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