What number is 250% of 4.2

Answer:

Only statement second is correct about the distribution.

Step-by-step explanation:

The stem plot data given to us is;

1 | 9

2 | 5

3 | 4   6   8   8

4 | 0   3   6   7   7

5 | 0   0   1    2

As it is given in the question that 1 | 9 = 19 sit-ups, so the data value are;

19, 25, 34, 36, 38, 38, 40, 43, 46, 47, 47, 50, 50, 51, 52

(a) The first statement that there is one outlier in the distribution is false as there are two outliers in the data (19 and 25) as they are very far from the rest of the data.

(b) The statement that the distribution is skewed left is correct because the tail of the distribution is towards the left.

(c) The statement that the center is around 47 is false as the center or mean of the data is 43 because the middle most data value is 43.

(d) The statement that the distribution is bimodal is false as there are is three modes in the data (38, 47 and 50), so the given distribution is trimodal.

Answer

it is the first one

explanation

I got it right

Answer:

Its 20

Step-by-step explanation:

Answer:

(a^2+b^2)^1/3

Step-by-step explanation:

Answer:

(a^2+b^2)^1/3

Step-by-step explanation:

Answer:

∠L = 51°

Hope this helps!

Step-by-step explanation:

Alternate exterior angles theorem

Answer:

the length of the rectangle is 13 ft.

Step-by-step explanation:

width of a rectangle x ft

length of a rectangle x+6 ft

the perimeter of the rectangle is 40 ft,

2(x+x+6) = 40

2x+6 = 20

2x = 14

x = 7

So the length of the rectangle is x+6 = 7+6 = 13 ft

congrats you're right (≧▽≦)!!

Answer:

The correct answer ia A)13 ft

Step-by-step explanation:

hope this helps

The area of the shaded region is 3915 units².

We have,

Area of the sector.

= 13.08 units²

Now,

To find the area of an isosceles triangle with side lengths 5, 5, and 4 units, we can use Heron's formula.

Area = √[s(s - a)(s - b)(s - c)]

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case,

The side lengths are a = 5, b = 5, and c = 4. Let's calculate the area step by step:

Calculate the semi-perimeter:

s = (5 + 5 + 4) / 2 = 14 / 2 = 7 units

Use Heron's formula to find the area:

Area = √[7(7 - 5)(7 - 5)(7 - 4)]

= √[7(2)(2)(3)]

= √[84]

≈ 9.165 units (rounded to three decimal places)

Now,

Area of the shaded region.

= Area of the sector - Area of the isosceles triangle

= 13.08 - 9.165

= 3.915 units²

Thus,

The area of the shaded region is 3915 units².

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Answer:

30% probability that the ball taken from B is red.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

Red ball from urn A:

3/6 = 1/2 probability of getting a red ball from urn A.

Then urn B will have 5 balls, 2 of which are red, so 2/5 probability of getting a red ball.

Blue ball from urn A:

3/6 = 1/2 probability of getting a blue ball from urn A.

Then urn B will have 5 balls, 1 of which is red, so 1/5 probability of getting a red ball.

Total:

\(p = \frac{1}{2}*\frac{2}{5} + \frac{1}{2}*\frac{1}{5} = \frac{2}{10} + \frac{1}{10} = \frac{3}{10}\)

3/10 = 0.3 = 30%.

30% probability that the ball taken from B is red.

The way the flashback in these paragraphs advance the plot is C. It introduces Evan's motivation for working in the garden with Grandfather.

The technique of flashback in storytelling involves interrupting the chronological order of events to depict an earlier event or scene. It uses time travel to furnish the audience with necessary backstory, context, or a deeper understanding of the characters.

The technique of flashbacks is frequently employed as a means of divulging previous occurrences, recollections, or incidents that hold significance to the present narrative being conveyed.

Hence, it can be seen from the given text that the use of flashback helps show the motivation which Evans had for working in the garden with Grandfather

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The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.

The dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.

The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.

The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.

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Answer:

Step-by-step explanation:

67

Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.

Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.

This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.

He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.

Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.

Thus, looking at the provided options, option B ($850.00) would be the correct answer.

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The line y=-2 is a horizontal line parallel to x- axis as shown:

It passes through point (0, -2)

The half life of the iodine is obtained as 6.2 s.

Let us recall that the half  life would be the time that is taken for about half of the original radioactive isotope that remains in the sample, to become depleted in the thyroid treatment.

Given that we have the fact that the decay constant that we have in the process is given as 0.1113 in the question and we know that;

Half life = 0.693/K

Half life = 0.693/0.1113

Half life = 6.2 s

It would have the half life about 6.2 s.

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The shape that can tessellate without leaving gaps is the hexagon (option A).

The shapes that can tessellate without leaving gaps are shapes that can be repeated to completely cover a flat surface without any overlaps or gaps. Among the options provided, the shape that will tessellate without leaving gaps is the hexagon (option A).

A hexagon is a six-sided polygon with equal sides and angles. It is a regular polygon, which means all of its sides and angles are equal. A regular hexagon can be arranged and repeated in a pattern to fill a plane without any gaps or overlaps. Bees' honeycombs are a real-world example of hexagonal tessellation.

On the other hand, octagons (option B) and pentagons (option C) do not tessellate by themselves without gaps. While they can be used in combination with other shapes to create tessellations, they cannot tessellate on their own.

A circle (option D) cannot tessellate without leaving gaps. A circle is a curved shape, and it cannot form a repeating pattern that completely covers a flat surface without overlaps or gaps.

In summary, the shape that can tessellate without leaving gaps is the hexagon (option A).

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Answer:

51.25g

Step-by-step explanation:

Just simply use unitary method:

To make 5 litres of juice, fruits needed is 12.5g

To make 1 litre of juice, fruits needed is 12.5g÷5

To make 20.5 litres of juice, fruits needed is (12.5g÷5) × 20.5

                                                                           = 51.25g

Answer:

21134 bacteria

Step-by-step explanation:

The given parametrs can be interpreted as:

\(y = 8(2.4)^t\)

Required

Find y when t = 9

Substitute \(t = 9\)

So:

\(y = 8(2.4)^9\)

\(y = 8 * 2.4^9\)

\(y = 8 * 2641.81\)

\(y = 21134.48\)

\(y = 21134\) --- approximated

Hence, there are 21134 bacteria

Answer:

I will just guess 1/11 is what ur saying so a and b or 0.0909

Step-by-step explanation:

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

The answer is C.

Step-by-step explanation:

The range means the values of y.

At  6 ≤ x ≤ 8, The function has a positive rate of change.

The correct option is D.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

Given:

A quadratic function,

h(x) = (1/8)x³ - x².

h(0) = 0

h(2) = -3

h(6) = -9

h(8) = 0

The average rate of change of the function at 0 ≤ x ≤ 8,

= h(8) - h(0)/(8 - 0)

= 0

The average rate of change at 0 ≤ x ≤ 6,

= h(6) - h(0)/(6 - 0)

= -9/6

The average rate of change of the function at 0 ≤ x ≤ 2,

= h(2) - h(0)/(2 - 0)

= -3/2

The average rate of change of the function at 6 ≤ x ≤ 8,

= h(8) - h(6)/(8 - 6)

= (0 + 9)/(2)

= 9/2

Therefore, the function has a positive rate of change at 6 ≤ x ≤ 8.

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Answer: 32%  

Step-by-step explanation:

Answer:

the way in which factors are grouped in a multiplication problem does not change the product.

Step-by-step explanation:

Answer: 2

Step-by-step explanation: 12 x 3 first becuase pemdas

Answer:

  y = {-1/2x +7 for x < 6; 1/2x +1 for x ≥ 6}

Step-by-step explanation:

You want y = 1/2|x -6| +4 written as a piecewise function.

The absolute value function changes its definition when its argument is negative:

  y = |x|   ⇒   y = -x for x < 0, and y = x for x ≥ 0

This means our piecewise function will have one definition for (x-6) < 0 and another for (x -6) ≥ 0.

The argument is negated in this domain, so we have ...

  y = -1/2(x -6) +4

  y = -1/2x +3 +4

  y = -1/2x +7

The absolute value function is an identity function in this domain:

  y = 1/2(x -6) +4

  y = 1/2x -3 +4

  y = 1/2x +1

Combining these descriptions into one, we have ...

  \(\boxed{y=\begin{cases}-\dfrac{1}{2}x+7&\text{for }x < 6\\\\\dfrac{1}{2}x+1&\text{for }x\ge6\end{cases}}\)

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Answer:

2.3 hours

Step-by-step explanation:

From 3:12 pm to 4:12 pm, one hour passes.

From 4:12 pm to 5:12 pm, another hour passes.

From 5:12 pm to 5:30 pm, there are 18 minutes that pass.

Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.

To convert this to a fraction, we can write:

2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours

So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.

SOLUTION

We are told to solve the inequality

This becomes

In interval notation, this becomes

Answer:

A

Step-by-step explanation: