4.A counterexample can be used to show that a conjecture is false. Below are three
conjectures students made after visiting a zoo. Write a counterexample that shows that each
conjecture is false.
a. There are always more elephants in a zoo than giraffes.
TS
b. The oldest leatherback sea turtle in captivity is 33 years old.
c. American bison are never over 6 feet tall.

Answer:

Answer:

The  probability is  \(P(J|B) = 0.36\)

Step-by-step explanation:

B =business

J=jumbo

Or =ordinary

From the question we are told that  

     The proportion of the passenger on business in the ordinary jet  is \(P(B| Or) = 0.25\)

     The proportion of the passenger on business in the jumbo jet  is  \(P(B|J) = 0.30\)

     The  proportion of the passenger on jumbo jets is  \(P(j) = 0.40\)

      The   proportion of the passenger on ordinary jets is evaluated as

         \(1 - P(J) = 1- 0.40 = 0.60\)

According to  Bayer's theorem the probability a randomly chosen business customer flying with Global is on a jumbo jet is mathematically represented as

        \(P(J|B) = \frac{P(J) * P(B|J)}{P(J ) * P(B|J) + P(Or ) * P(B|Or)}\)

substituting values

         \(P(J|B) = \frac{ 0.4 * 0.25}{0.4 * 0.25 + 0.6 * 0.3}\)

         \(P(J|B) = 0.36\)

Step-by-step explanation:

The histogram on the x-axis represents the data and on the y-axis represents the frequency:

a. Approximately Bell-Shaped

We have the next data set:

4; 5; 6; 6; 6; 7; 7; 7; 7; 7; 7; 8; 8; 8; 9; 10

The mode is 7 because is the value most repeated

The mean is 7 because:

The median is 7.

Hence, we have the next histogram approximately Bell-Shaped:

4 - frequency of 1

5-frequency of 1

6- frequency of 3

7- frequency of 6

8 -frequency of 3

9 -frequency of 1

10- frequency of 1

Then:

b. Skewed Left

We have the next data set:

4566677778

This histogram is not symmetrical. Then, the mode, the median, and the mean are different.

c. Skewed Right

We have the next data set:

6;7;7;7;7;8;8;8;9;10

d.Uniform

We have the next data set

4,4,4,4,5,5,5,5,6,6,6,6,7,7,7,7,8,8,8

It is uniform because some of the values have the same frequency or near value to each other.

Answer:

I think it's about 3840 in.^2

Step-by-step explanation:

The shape is a half circle and a parallelogram

Area of a half circle is 1/2 x pi x r ^2

R is half the diameter(8in), r = 4

Area of half circle = 1/2 x 3.14 x 4^2

Area of half circle = 25.12 square in.

Area of parallelogram = length x height

Area of parallelogram = 10 x 6 = 60 square in.

Total area = 25.12 + 60 = 85.12 square inches

Answer: 85.12 square inches

To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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Answer:

28z-12y

Step-by-step explanation:

The 99% confidence interval for the population proportion is given as follows:

(0.4925, 0.5409).

The interpretation is that we are 99% sure that the population proportion is between these two values.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

The parameters for this problem are given as follows:

\(n = 2820, \pi = \frac{1457}{2820} = 0.5167\)

Then the lower bound of the interval is given as follows:

0.5167 - 2.575sqrt(0.5167(0.4833)/2820) = 0.4925.

The upper bound of the interval is given as follows:

0.5167 + 2.575sqrt(0.5167(0.4833)/2820) = 0.5409.

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What we'll do:

A method to find whether an object will float or sink in a liquid is to find it's specific gravity with respect to the liquid, The Specific Gravity tells us the percentage of object's mass which will be submerged in water

Finding the Specific Gravity:

Density of Box:

Density = Mass / Volume

Density = 80 grams / 78 cm³

Density = 1.02 grams/cm³

Specific Gravity of Box with respect to water:

Specific Gravity = Density of Box / Density of Water

we know that density of water is 1 gm/cm³, plugging the values

Specific Gravity = 1.02 / 1

Specific Gravity = 1.02

Hence, 102% of the object will be under water

Q. but I've only heard about 100% of something, how can something be more than 100%?

A. The answer is that the extra 2% over the 100% is providing to the object being even deeper underwater

15.2

16 + 12 + 8 +  22 +  25 +  8 = 91 / 6 = 15.16 = 15.2

Answer:

440

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

That would be 62.5%

Step-by-step explanation:

That's what I put and it said it was right...

Answer:37.68/18.84

Step-by-step explanation:.

The first step is replacing the given trigonometric functions by simpler ones and then taking the product of the denominators.

Here we have the expression:

\(\frac{tan(x)}{1 + sec(x)}\)

Remember that:

\(tan(x) = \frac{sin(x)}{cos(x)}\\ \\sec(x) = \frac{1}{cos(x)}\)

Replacing that would be the "step zero", we can write:

\(\frac{tan(x)}{1 + sec(x)} = tan(x)*\frac{1}{1 + sec(x)} = \frac{sin(x)}{cos(x)} \frac{1}{1 + \frac{1}{cos(x)} }\)

The first step to simplify this, is taking the product between the denominators:

\(\frac{sin(x)}{cos(x)} \frac{1}{1 + \frac{1}{cos(x)} } = sin(x)*\frac{1}{cos(x) + \frac{cos(x)} {cos(x)} } = \frac{sin(x)}{cos(x) + 1}\)

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Answer:

tanx(1-secx)/(1+secx)(1-secx)

Step-by-step explanation:

aP E

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The height of the tree is 13.33 meters.

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,

\(\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}\)

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

Hunter is standing 26.8 meters away from the tree while the shadow of the tree is 30.85 meters long. Since the distance between the Hunter and the top of the tree is equal to the shadow of the hunter. Therefore, the distance between Hunter and the top of the tree will be,

Distance between Hunter and the top of the tree = 30.85m - 26.8 m = 4.05 meter

Now, using the tangent function we can write,

Height of Hunter/ Shadow of hunter = Height of tree / Shadow of tree

1.75 m / 4.05 m = Height of the tree / 30.85 m

Height of the tree = 13.33 meters

Hence, the height of the tree is 13.33 meters.

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The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5

Let's solve the inequality first

4p -7 \(\geq\)  9p  +8

Taking p's on the same side we will get :

-7 - 8 \(\geq\) 9p - 4p

-15 \(\geq\) 5p

Divide by 5 into both sides

-3 \(\geq\) p

i.e. p \(\leq\) -3

Therefore p must be less than or equal to -3

From the set, we have the numbers -3,-4,-5 which are less than or equal to -3

Hence the integers -3,-4,-5 will make the  inequality 4p-7 \(\geq\) 9p+8 true

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The equation of the line parallel to y = (-3/4)x + 1 and passing through (8, 6) is y = (-3/4)x

An equation is an expression showing the relationship between numbers and variables.

The slope intercept form of a straight line is:

y = mx + b

Where m is the slope and b is the y intercept.

Two lines are parallel if they have the same slope.

Given the line y = (-3/4)x + 1, the slope is -3/4. The line parallel to y = (-3/4)x + 1 would have same slope of -3/4.

The parallel line passes through (8, -6), hence:

y - y₁ = m(x - x₁)

y - (-6) = (-3/4)(x - 8)

y + 6 = (-3/4)x + 6

y = (-3/4)x

The equation of the line is y = (-3/4)x

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In linear equation, x = 18 is the value of x in equation .

What is a linear equation example?

6x +4(x - 10) = 140.

6X + 4X - 40 = 140

10X = 140 + 40

10x = 180

  x = 180/10

  x = 18

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

The inverse g(x) of the given relation f(x) be g(x) = {(3, 8), (1, 4), (-1, 0), (-3, -4))

An inverse function will have its input and output reversed. Set the function equal to y to use algebra to identify the function's inverse (if one exists). Swap x and y after that, and then get y in terms of x.

In essence, an inverse function reverses the effects of the original function. If f(x) instructs you to multiply by 2 and then add 1, the opposite f(x) will instruct you to take 1 away and then divide by 2. If you want to see this graphically, the function f(x) and its inverse will be reflections of the line y = x.

A function's inverse is a function that reverses the effects of another function. If x=g whenever y=f(x), then a function g is the inverse of a function f. (y). In other words, applying f and then g is equivalent to not acting at all. This can be expressed as g(f(x))=x when f and g are combined.

Therefore, the correct answer is option d) g(x) = {(3, 8), (1, 4), (-1, 0), (-3, -4)).

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Answer:

It's the last one.

Step-by-step explanation:

Edge 2020.

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include

A. 27, 22, 17, 12, 7

D. 100, 95, 90, 85, 80

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.

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Complete question

Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.

27, 22, 17, 12, 7

5, 10, 15, 20, 25

55, 50, 35, 30, 25

100, 95, 90, 85, 80

75, 65, 55, 45, 35

A statement which correctly describes the comparison between the shapes of the box plots include the following: A. The Bulldogs' distribution is symmetric, but the Wolverines' distribution is negatively skewed.

In Mathematics, skewness can be defined as a measure of the asymmetry of a box plot (box-and-whisker plot) or histogram and as such, a box plot (box-and-whisker plot) or histogram has a normal distribution when it is symmetrical.

By critically observing the box plot (box-and-whisker plot) which represent basketball scores for the Bulldogs basketball team has a median of 80 (vertical line dividing the box into two equal halves), which simply means that both whiskers on either sides of the box plot (box-and-whisker plot) are relatively equal and symmetric.

On the other hand (conversely), the box plot (box-and-whisker plot) for the Wolverines basketball team shows that the median is more closer to the third quartile (upper quartile) and the whisker to the right of the box plot is longer, which ultimately implies that Wolverines' distribution is negatively skewed.

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Complete Question:

These box plots show the basketball scores for two teams.

Bulldogs

55 70 80 90 105

Wolverines

35 55 80 85 96

Basketball scores

Compare the shapes of the box plots.

A. The Bulldogs' distribution is symmetric, but the Wolverines' distribution is negatively skewed.

B. Both distributions are symmetric.

C. Both distributions are negatively skewed.

D. The Bulldogs' distribution is symmetric, but the Wolverines' distribution is positively skewed​

Step-by-step explanation:

y=kx

25= k(-5)

k= -5

y= -5x

y = -5 ×3 = -15

Let's assume that the corresponding side of the second triangle is \(\displaystyle\sf x\).

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:

\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)

To find \(\displaystyle\sf x\), we can solve the proportion above:

\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)

Taking the square root of both sides:

\(\displaystyle\sf \dfrac{x}{6.3} =\sqrt{\dfrac{49}{81}}\)

Simplifying the square root:

\(\displaystyle\sf \dfrac{x}{6.3} =\dfrac{7}{9}\)

Cross-multiplying:

\(\displaystyle\sf 9x = 6.3 \times 7\)

Dividing both sides by 9:

\(\displaystyle\sf x = \dfrac{6.3 \times 7}{9}\)

Calculating the value:

\(\displaystyle\sf x = 4.9\)

Therefore, the corresponding side of the second triangle is \(\displaystyle\sf 4.9 \, cm\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Step-by-step explanation:

let's assume that the corresponding side of the second triangle is .

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:

To find , we can solve the proportion above:

Taking the square root of both sides:

Simplifying the square root:

Cross-multiplying:

Dividing both sides by 9:

Calculating the value:

Therefore, the corresponding side of the second triangle is 4.9cm


hope it helped u dear...........

Answer:

percentage is a number or ratio expressed as a fraction of 100.

Step-by-step explanation:

Answer:

all 3 angles make 1 straight line

a straight line is a 180 degrees

Step-by-step explanation:

Answer: 60 miles

Step-by-step explanation:

1 in. times 3 = 3 in

20 mi times 3 = 60 mi.

Answer: 848000

Step-by-step explanation:

(2 x 10³) x (4 x 106)

⇒2000 * 424
⇒ 848000

Answer:

$8.64

Step-by-step explanation:

Divide 3.24 by three to get the codt of one bottle,$1.08. multiply $1.08 by 8 and we get $8.64.

Answer:

$54

Step-by-step explanation:

Original Price = $90

Discounted = 40%

Percent to decimal 40% = .40

$90 x .40=36 ( 36 is the Discount)

$90 - 36=54

Sale Price = $54

Hence, Sale Price = $54

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