Is this employee correct? please help and explain your thinking.

Using it's concept, it is found that the desired probability is given as follows:

B) 0.20.

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

In this problem, out of a total of 165 vehicles, 33 are SUV's with no all wheel drive, hence the probability is given by:

p = 33/165 = 0.2.

Which means that option B is correct.

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Answer:

B) 0.20

Step-by-step explanation:

correct on edge

The median, mode and range of the numbers are 9, 5 and 7 respectively.

The median is the middle number when the data is arranged in ascending order.

Therefore,

7, 7, 7, 8, 10, 11, 12, 12

median = 8 + 10 / 2 = 18 / 2 = 9

median = 9

The range is the largest number minus the smallest number.

Therefore,

range = 12 - 7 = 5

range = 5

The mode is the number that appears most. Therefore,

mode = 7

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Answer:

3349.5 [tex]cm^{3}[/tex]

Step-by-step explanation:

see image

Answer:

Reflection

Explanation:

This is a reflection because A B and C and A' B' C' are at the same points in their quadrants. A' B' C' is flipped over the X-Axis

Answer:

reflection about the x -axis

Step-by-step explanation:

Mirror line is the x-axis for this translation

Answer:

hope this will help you thank you

it can be also written as 1/5x-5

To Sketch a graph of each of the four angles of 30°, 150°, 210°, 330°, one can follow the example that is given in the image.

In the mathematics, a sketch is known to be a given category  that tells what a thing is all about.

Note that in sketching, one need to take not of the key points and angles and as such, To Sketch a graph of each of the four angles of 30°, 150°, 210°, 330°, one can follow the example that is given in the image.

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Answer:

AC and YX are corresponding sides.

AB and YZ are corresponding sides.

BC and ZX are corresponding sides.

Step-by-step explanation:

Hope this helps and have a nice day

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{11}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +11}{2}~~~ ,~~~ \cfrac{ y -3}{2} \right)~~ = ~~\stackrel{\stackrel{midpoint}{\downarrow }}{(7~~,~~-2}) \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{ x +11}{2}~~ = ~~7\implies x+11=14\implies \boxed{x=3} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y -3}{2}~~ = ~~-2\implies y-3=-4\implies y=-1\implies y=-1i\implies \boxed{y=-i}[/tex]

The radius of the circle is 5.30 cm.

A radius is a line that extends from the center of a circle to any point of the circumference.

To calculate the length of the radius of the circle, we use the formula below.

Formula:

Make r the subject of the equation

Where:

From the question,

Given:

Substitute these values into equation 2

Hence, the radius of the circle is 5.30 cm.

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Answer:

Quick answer, C. 7 units!

Answer:

3.2 and 3.92

Step-by-step explanation:

Yolanda is correct since the boulders have a circular shape, the best shape to model the surface area of a sphere.

A sphere is a three dimensional object that has all the set of all points equidistant from a single point in space. An example of a sphere is a ball. The boulder in this question has a spherical shape.

Surface area of a sphere = 4πr²

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Answer:

Step-by-step explanation:

Yolanda is correct since the boulders have a circular shape, the best shape to model the surface area of a sphere.

What is a sphere?

A sphere is a three dimensional object that has all the set of all points equidistant from a single point in space. An example of a sphere is a ball. The boulder in this question has a spherical shape.

Surface area of a sphere = 4πr²

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Answer:

It will always be 0 because the rule is anything times 0 is 0

Answer:

0

Step-by-step explanation:

Hey there!

The product of any number and 0 is zero

To explain why this is, just think of it visually

So lets say we are visually explaining 7 x 3

Here is a visual explanation

There are 7 strawberries

You take 7 more strawberries

You take 7 more strawberries again

This means that you are taking 7 strawberries 3 times thereby forming the equation, 7 x 3

Now lets say a numeber [tex]x[/tex] times zero is equal to what

Well we can visualize this again

There are [tex]x[/tex] strawberries in a group

You are taking zero of those groups

Meaning there are no groups

So if there are no groups

There are no strawberries

Meaning [tex]x[/tex] times zero is zero

Since [tex]x[/tex] is any number, the statement, the product of 0 and any number is 0 is true

This is why the product of 0 and any number is 0

Answer:

 D is your answer  Outlier An extreme value in a set of data which is much higher or lower than the other numbers.

Step-by-step explanation:

Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data

To translate something:

  ⇒ is to write out the equations

Let's examine what information this problem gives us:

            ⇒ with '2' being the number of adults tickets

                ⇒total charge from purchasing adult tickets = 2 * 62.5 = 125

            ⇒ with 'x' being the number of child tickets bought

                 ⇒total charge from purchasing child tickets = 42.5x

Since the sum of total charge from purchasing adult tickets and total charge from purchasing child tickets is equal to 400:

   ⇒ 42.5x + 125 = 400 <== translated form

Let's solve:

   [tex]42.5x+125=400\\42.5x=275\\x=6.47[/tex]

Since we can only buy whole tickets:

Mrs. Albert could have bought at most 6 child tickets

Answer: Mrs. Albert can bring 6 kids

Hope that helps!

An advantage of the SMBO approach it allows for the adoption of multiple and changing sales objectives.

SMBO is for Sales Management by Objective and is a selling technique or approach that focuses on achieving a specific set of goals. The entire quantity of products sold is known as the sales volume. It can also be expressed in monitory terms.

An advantage of the SMBO approach it allows for the adoption of multiple and changing sales objectives.

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If he doubles his speed when he sees his friends ahead of him. his kinetic energy at the faster speed is joules is 160Joules

The formula for calculating the kinetic energy of an object is expressed as:

KE = 1/2mv²

where:

m is the mass of an object

v is the velocity

If he’s moving at 2 meters/second and has 40 joules of kinetic energy, the mass is calculated as:

40 = 0.5(2)²m

40 = 2m
m = 20 kg

If he doubles his speed when he sees his friends ahead of him, his kinetic energy will be:

KE = 0.5(20)(4)²
KE = 10*16
KE = 160joules

Hence if he doubles his speed when he sees his friends ahead of him. his kinetic energy at the faster speed is joules is 160Joules

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Answer:

64 men

Step-by-step explanation:

80 men / 10 months = 8 men per month, so in 8 months, 64 men can construct the same building.

Using it's concept, it is found that the inequality represents the domain of the exponential piece is:

d) [tex]x \leq -2[/tex].

The domain of a function is the set that contains all possible input values.

Researching this problem on the internet, we have that the function is divided as follows:

Hence, for the domain of the exponential piece, option d is correct.

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Answer :

[tex] \: [/tex]

Step-by-step explanation :

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}} \\ \\[/tex]

Here,

[tex] \: [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (x {)}^{2}= (7) {}^{2} + (8 {)}^{2} }}} \\ [/tex]

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x {)}^{2}=49 +64}}} \\ [/tex]

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x {)}^{2}=113 }}} \\ [/tex]

[tex]\\ {\longrightarrow \pmb{\sf {\qquad x= \sqrt{113} }}} \\ [/tex]

[tex]\\ {\longrightarrow \pmb{\sf {\qquad x \approx10.63 }}} \\ [/tex]

Therefore,

D

--

x=9.4cos(58°)

because the cosine function uses the ratio of the adjacent side to that of the hypotenuse.

9.4 is the hypotenus the ration is 58 degrees I believe

[tex]\\ \rm\Rrightarrow cosA=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow cos58=\dfrac{x}{9.4}[/tex]

[tex]\\ \rm\Rrightarrow x=9.4cos58[/tex]

Option D

Answer:

12.8

Step-by-step explanation:

[tex]a^{2} + b ^{2} = c^{2} [/tex]

100+64=c^2

164=c^2

12.8=c

The formula is given by

Or

Where

Answer:

84/100

Step-by-step explanation:

We know that 100% is a whole, so we can use this as our denominator. If the student only got an 84, this will be our numerator. The numerator is a part of a whole, 84 is a part of 100. Therefore the answer would be 84/100.

Answer:

13

Step-by-step explanation:

11 * 12 * 19 * 20 * 13 = 75

75/5 = 15

Answer:

13

Step-by-step explanation:

the mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

let x be the fifth number , then

[tex]\frac{11+12+19+20+x}{5}[/tex] = 15

[tex]\frac{62+x}{5}[/tex] = 15 ( multiply both sides by 5 to clear the fraction )

62 + x = 75 ( subtract 62 from both sides )

x = 13