There are 5 people in Edgar’s family

The probability that a particular death is due to an automobile accident is 4%

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

total deaths in recent years = 1158

automobile accident resulted = 46 accidents

cancer deaths resulted = 226 accidents

heart disease deaths resulted = 388 accidents

the probability that a particular death is due to an automobile accident = 46/1158

                     = 0.04 or 4 % chances

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Answer:

Angle 6 = 91 degrees

Step-by-step explanation:

There are several ways you could use to find angle 6.

You could either find angle 5 then 6, 2, then 6, or 4 then 6 as they can all be found using the given angle with different rules.

First, we can find angle 5 using the corresponding angles rule which states that angles in the same corresponding quadrant are equal. That is angles that are in the same corresponding 'section' in their groups of angles at both intersect points. E.g. Angle 5 and 89 are corresponding angles, therefore angle 5 is equal to 89.

From here we can find angle 6 by using the rule that states that angles on a straight line add to 180. Angle 6 and angle 5 make up a straight line together which we know is 180 degrees. Therefore 180 - angle 5 = angle 6

180 - 89 = 91

Angle 6 is 91 degrees.

We also could have done this by first finding angle 2, which in on a straight line with the given angle. Therefore 180 - 189 = angle 2

Angle 2 = 91

Then used the corresponding angle rule to find angle 6. Angle 2 = Angle 6

Angle 6 = 91.

The final way we could have found it is by finding angle 4 first. The opposite angles rule states that opposite angles sharing a vertex are equal. This means that 89 and Angle 4 are equal. From there we can use the co-interior rule which states that angles in the same 'section' between parallel lines are co-interior (Angle 4 and angle 6) and are equal.

Therefore angle 4 = angle 6

Angle 6 = 91

Sorry if this answer was a bit confusing, hope it helps!

To determine the maximal velocity from an acceleration vs. time graph, you need to follow these steps:

Identify the time interval during which the acceleration remains constant or nearly constant. This interval can be identified as a straight line on the graph.

Calculate the acceleration value during this interval by finding the slope of the line. The slope is the change in acceleration divided by the change in time.

Use the acceleration value and the time interval to calculate the change in velocity during this interval using the formula:

Δv = aΔt

Where Δv is the change in velocity, a is the acceleration, and Δt is the time interval.

Add the change in velocity to the initial velocity at the start of the time interval to obtain the maximal velocity. If the initial velocity was zero, then the maximal velocity will be equal to the change in velocity.

vmax = vi + Δv

Where vmax is the maximal velocity and vi is the initial velocity.

Note that this method assumes that the acceleration is constant or nearly constant during the time interval of interest. If the acceleration changes significantly during this time interval, you will need to break it down into smaller intervals and repeat the above steps for each interval to determine the maximal velocity.

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Answer:

A

Step-by-step explanation:

If you use process of elimination, it is the only one that makes since in the situation.

Answer:

813.681818182

(That's the exact number, but you can circle it to 813.7 )

Step-by-step explanation:

459%22=20.8636363636

20.8636363636 x 39= 813.681818182

Answer:

Concept: Mathematical Analysis

Check the picture below.

Answer:

$48.91

Step-by-step explanation:

100% is 1 so 7% would be 0.07

times $39.75 by 0.07 to get the amount the tax would add which is $2.78

then add the two $39.75 + $2.78 = $42.53

then remove the tip which as we saw earlier convert the 15% to 0.15

times $42.53 by 0.15 to get the amount the tip would add which is $6.38

then add $6.38 to the total amount which would be $48.91

The length of the arc subtending 1/4 of the hula hoop is approximately 23.91 inches, calculated by using the formula 2πr * (angle/360).

To calculate the length of the arc subtending 1/4 of the hula hoop, we can use the formula for the circumference of a circle, which is 2πr. The radius of the hula hoop is 19 inches, so we can plug this value into the formula, giving us 2π(19). We then need to multiply this result by the angle (in radians) of the arc divided by 360. To convert 1/4 of the hula hoop into radians, we can use the formula angle = arc length/radius. Since the arc length is 1/4 of the circumference, this gives us (1/4)/19. We can then multiply this result by 2π(19) to get the length of the arc. This gives us approximately 23.91 inches.

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No, when finding the upper and lower quartiles, the median is not included in the calculations.

When finding the upper and lower quartiles of a data set, the median (or second quartile) is not included in the calculations. The quartiles divide the data set into four equal parts, with the median representing the second quartile.

To find the lower quartile (Q1), one needs to determine the median of the lower half of the data set, excluding the median itself. This includes the data points below the median.

Similarly, to find the upper quartile (Q3), the median of the upper half of the data set is determined, excluding the median. This includes the data points above the median.

The inclusion of the median in the calculation of quartiles can cause confusion, but it is important to note that the median is separate and distinct from the quartiles.

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Answer:

20%

Step-by-step explanation:

4/5=.80

1-.80=.20

.20=20%

Answer:

Step-by-step explanation:

gradient = y2-y1/x2-x1

-6-0/4-12

-6/-8

=3/4

Answer:

\( \sin(120) \\ = \sin(90 + 30) \\ = \cos(30) \\ = \frac{ \sqrt{3} }{2} \\ \\ \tan( \frac{3\pi}{4} ) \\ = \tan(135) \\ = \tan(90 + 45) \\ = - \cot(45) \\ = - 1\)

\(\\ \rm\longmapsto sin120\)

\(\\ \rm\longmapsto sin(90+30)\)

\(\\ \rm\longmapsto cos30\)

\(\\ \rm\longmapsto \dfrac{\sqrt{3}}{2}\)

Now

\(\\ \rm\longmapsto tan\left(\dfrac{2\pi}{4}\right)\)

\(\\ \rm\longmapsto tan135\)

\(\\ \rm\longmapsto -1\)

The measure of side HI is 10.74 for the triangle EFG which is similar to HIJ.

Similar triangles are those triangles which have corresponding sides in proportion to each other and the corresponding angles of two triangles are equal to each other. Similar triangles look the same but they differ in terms of the sizes of the two triangles.

In short, If two triangles are similar that means,

All corresponding angle pairs of triangles will be equal.

All corresponding sides of triangles will be proportional.

Now, it is given in the question that ΔEFG is similar to ΔHIJ then, their corresponding sides will be in proportion.

⇒ GE/EF = HJ/HI

⇒ 19/34 = 6/HI

⇒ HI = 6 x 34/19

⇒ HI = 10.74

Therefore, the measure of side HI is 10.74.

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The equivalent expression by distributing the sign outside the parentheses: \(-( -9.4 \text{q} + 3 )\ -(-9.4\text{q}+3)\) will be \(18.8\text{q} - 6\).

It should be noted that based on the information given, the expression is illustrated as:

\(-( -9.4 \text{q} + 3 )\ -(-9.4\text{q}+3)\)

The signs should be taken into consideration. This will be:

\(-( -9.4 \text{q} + 3 )\ -(-9.4\text{q}+3)\)

\(= 9.4\text{q} - 3 + 9.4\text{q} -3\)

\(\boxed{=\bold{18.8\text{q} - 6}}\)

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Length of the base edge (a) = 5 cm

Height of the pentagonal prism (h) = 10 cm

The Lateral Surface Area of the Pentagonal Prism.

Lateral Surface Area of a Pentagonal Prism = 5ah

Lateral Surface Area = 5 (5) (10)

Lateral Surface Area = 5 (50)

Lateral Surface Area = 250 sq.cm

250 sq.cm

Let x be the amount invested at 9% and y the amount invested at 6%.

Then we have:

I) x + y = $14,929

II) 0.09x - 0.06y = $1,139.91

First, we multiply equation II by 100:

9x - 6y = $113,991

Now, we add to it 6 times equation I:

15x = $203,565

x = $13,571

Now, we replace x in equation I to find y:

$13,571 + y = 14,929

y = $1,358

The absolute function f(x) = 4x+5 as a piecewise-defined function is:

f(x) = { -4x-5   ,   x<-5/4

           4x+5   ,   x ≥-5/4 }

Given, the absolute function  f(x) = 4x+5

The fundamental tenet of piecewise linear regression is that we should construct the regression function in "pieces" if the data exhibit various linear trends over various parts of the data. The components may or may not be joined.

when  4x+5 < 0

4x < -5

x < -5/4

f(x) = -(4x+5) = -4x-5

when 4x+5 ≥ 0

4x ≥ -5

x ≥ -5/4

f(x) = 4x+5

so f(x) =  { -4x-5   ,   x<-5/4

                4x+5   ,   x ≥-5/4 }

since, I x I =  { -x   ,   x<0

                        x    ,   x ≥0}

Therefore, we get the required piecewise-defined function with linear parts.

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Answer:

The number to be added is 6.89

Step-by-step explanation:

Here, we want to know what number must be added to the expression to make it equal to zero.

Let the number be x

Thus;

-6.89 + 14.52 -14.52 + x = 0

-6.89 + x = 0

x = 6.89

Symmetrical functions can be about the x and y axis. Essentially, if we reflect the graph across the y or x axis, we get the same graph. Some other graphs can be reflected across both the x and y axis at the same time and be symmetrical. These can be classified as odd and even functions. You can test this by replacing x and y with -x and -y and simplify the equation. If the results comes out to be the same as the original, it is symmetrical across the origin.

Best of Luck!

Answer:

a shape that has reflective symmetry either x or y axis of origin.

in other words...  it's a mirror image.

Answer:

355

Step-by-step explanation:

185+140= 325

325+20= 355

Answer:

30/185×100=

Step-by-step explanation:

30/140×100=

A statement that creates a list is my_nums= [5,10,15]. This is also known as array.

An array is a grouping of identically typed elements that are stored in adjacent memory locations and may each be separately referred to using an index to a special identifier. There is no need to declare five distinct variables when declaring an array of five integer values (each with its own identifier).

The three types of arrays are index, multidimensional and associative array.

my_nums= [5,10,15] is an array that stores multiples of 5.

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A statement that creates a list is my_nums= [5,10,15]. This is also known as array.

What is an array?

An array is a data structure consisting of a collection of elements (values or variables), each identified by at least one array index or key. An array is a combination of a set of elements which are all of the same data type, organized in a particular way. Arrays are used to store multiple values in a single variable, structure data, and access data more efficiently. Arrays are generally used to represent data in a structured way, and they can be used to perform various mathematical operations and other calculations. Arrays are also useful for sorting and searching data in a predetermined order.

What are three types of array?
The three types of array are index, multidimensional and associative array.
my_nums= [5,10,15] is an array that stores multiples of 5.

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Answer:

The situation is linear and proportinal

Step-by-step explanation:

Hopes this help!!

The situation is linear and proportional for Joanna is paid $10 per hour.

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.

Given,

Joanna is paid $10 per hour.

Let earnings of Joanna is y and number of hours be x

then,

Joanna earning in x hours

y = 10x

Which is linear equation

and

y/x = 10 = k

Earning and number of hours are proportional.

Hence, Joanna is paid $10 per hour is linear and proportional situation.

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Answer:

Similarly: yes

Similarly Statement: LMNO ≈ ZWXY

Scale factor: 2/7

Answered by GAUTHMATH

If we want to provide a 95% confidence interval for the mean of a population, the confidence coefficient will be: D. .95.

A confidence interval is also referred to as level of confidence and it can be defined as a range of estimated values that defines the probability that a population parameter would fall or lie within it.

For instance, the confidence interval at 95% is given by p - E < p < p + E

Since the confidence interval for the mean of a population is at 95%, the confidence coefficient would be calculated by simply dividing the confidence interval by 100:

Confidence coefficient = 95/100

Confidence coefficient = 0.95

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Answer:

Step-by-step explanation:

x=5

The length of AB is 5

The length of BC is 15

Answer:

16 weeks

Step-by-step explanation:

10 ÷ 5 = 2, so she's able to sing 2 pieces per week

32 ÷ 2 = 16