The purpose of a interview

The probability that their average score is between 200 and 250 is 42.49%.

The Z-score quantifies the discrepancy between a given value and the standard deviation. The Z-score, also known as the standard score, indicates how many standard deviations a given data point deviates from the mean. In essence, standard deviation represents the degree

Given:

Mean = 240

and standard deviation = 27

So, P( 200 < x < 250) =  P( (x- [tex]\mu[/tex])/ [tex]\sigma[/tex] < x <  x- [tex]\mu[/tex])/ [tex]\sigma[/tex])

                                    = P (200- 240 / 27  < x < 250- 240 /27)

                                    = P( -1.481 < x < 0.370)

                                    = 0.42499

Hence, the probability that their average score is between 200 and 250 is 42.49%.

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The required equation is y = -(x + 1)² + 9.

Parabola is a curve like shape, in which any point is equal distance from a fix point.

The standard equation of parabola,

y = a(x-h)² + k.

Here, h = horizontal coordinate of the vertex,

k = vertical coordinate of the vertex.

In the given graph, the vertical coordinate of the vertex k = 9,

The horizontal coordinate of the vertex h = -1.

And the focus of the parabola = -1,

The required equation,

y = -1(x - (-1))² + 9

y = -(x + 1)² + 9

The required equation of the given graph is y = -(x + 1)² + 9.

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It is evident from the steps above that it is impossible to be have two numbers with the same LCM and HCF as 12 and 5, respectively.

The given condition are-

Helen considers two numbers that fit the following criteria:

The steps to solve the condition are-

1. It is assumed that when Helen considers of two numbers, they have corresponding HCF and LCM values of 5 and 12.

2. A smallest common multiple shared by two numbers is referred to as the least common number.

LCM of 4 with 6 is 12, for instance.

3. The highest number which divides the two selected numbers, leaving a residue of 0, is referred to as the highest common factor.

HCF of 6 and 8 is 2, for instance.

4. Given that the LCM of Helen's two chosen numbers is 12, even multiples of 12 are indeed the two numbers' common multiples. In light of this, 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, and so forth.

5. The only numbers that may be divided by 5 are 60 and 120. All other numbers have HCF values apart from 5. 60 and 120 have an HCF of 60, but not 5.

6. As a result, it is evident from the steps above that it is impossible to be have two numbers with the same LCM and HCF as 12 and 5, respectively.

Therefore, the aforementioned criteria cannot exist mathematically.

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Answer:

25

Step-by-step explanation:

9/x = 36/100

9 x 4 = 36

? x 4 = 100

100 ÷ 4 = 25

The equations of the line that passes though points (2,-1) and (8,4) are

The linear function written in the slope intercept form  form as

y = mx + c

where

m = slope

c = intercept

x = input variables

y = output variables

calculation of slope

The points used for the slope is gotten from the graph as (2,-1) and (8,4)

m = (y₂ - y₁) / (x₂ - x₁)

substituting the values

= (-1 - 4 ) / (2 - 8 )

= -4 / -6

= 2/3

using the point slope formula which is

(2, -1)

(y - y') = m(x - x')

(y - (-1)) = 2/3(x - 2)

y + 1 = 2x/3 - 4/3

y = 2x/3 - 4/3 - 1

y = 2x/3 - 7/3

(8,4)

(y - 4) = 2/3(x - 8)

y - 4 = 2x/3 - 16/3

y = 2x/3 - 16/3 + 4

y = 2x/3 - 28/3

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Answer:

9.652 kg

Step-by-step explanation:

144 kg 780 g = 144.78 kg

if there are 15 packets in the box then:

144.78 ÷ 15 = x

x = 9.652 kg

Therefore the weight of each bag is 9.652 kg

Answer:

[tex]2x^2+7x+6[/tex]

Step-by-step explanation:

Use the FOIL method to multiply these two expressions:

[tex](x+2)(2x+3)\\x(2x)+2(2x)+3(x)+2(3)\\2x^2+4x+3x+6\\2x^2+7x+6[/tex]

The GPA of the girls is 3.12

In this question, we have been given a class has 12 boys and 18 girls.

The class as a whole has a GPA (grade point average) of 2.88, and the boys have a GPA of 2.52

We need to find the GPA of girls.

Let m be the GPA of girls.

The weighted average GPA would be,

(12(2.52) + 18m)/ (12+18) = 2.88

We solve above equation to find the value of m

30.24 + 18m = 30 * 2.88

18m = 86.4 - 30.24

18m = 56.16

m = 3.12

Therefore, the GPA of the girls in the class is 3.12

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In the online auction for an autograph, losing bid is 10 less than the winning bid.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Losing bid in online auction of Autograph = $40,

Also, Losing bid is 80% of the winning bid,

Let winning bid is 100%.

Therefore, winning bid is 20% more than losing bid.

Since,

80% = 40

20 % = 10

Hence, losing bid is 10 less than the winning bid.

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Answer: Sale tax rate is 5%

Step-by-step explanation:

Take $53 divided by $1060, then time 100% = 5%

Answer: $4

Step-by-step explanation: To find how much each family paid, we must do this:

80-44

That gets us to 36. Now, we do 36 / 9, and get 4!

TIP: Don't worry about the negative signs, It won't be used in this. I hope this helped!

Answer:

Step-by-step explanation:

2x - 3y = 6

-3y = -2x + 6

y = 2/3x - 2

correct answer is A

The interpretations of the equations are

From the question, we have the following parameters that can be used in our computation:

The function `P` gives the number of people, in millions,

Years = t

The function P(17) = 2320

Recall that, we have

P(t) = the number of people, in millions,

This means that the year is

Year = 2000 + 17

Year = 2017

So, the interpretation is there are 2320 million people in 2017

The function P(-10) = 0

So, we have

Year = t + 2000

Substitute the known values in the above equation, so, we have the following representation

Year = -10 + 2000

Evaluate

Year = 1990

So, the interpretation is there are 0 million people in 1990

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Complete question

The function gives the number of people , in millions. who own smarphone t years alter the year 2000

What does each equaton tell us about smartphone ownership?

(a) P(17) = 2320

(b) P(-10) = 0

Answer:

x (in simple terms)< -11/7 or -1 4/7

Step-by-step explanation:

1) Place x on one side: The point of this is to islolate x (and to keep things simple make x a positive variable if you can). One way of doing this is adding 8x on both sides what we now get is 14 < 14x + 36

2) Subtract 36 on both sides: We doing this for the same reason as the 1st step which is to islolate x so after this the new equation is -22 < 14x

3) Divide 14 on both sides: Since we aren't dividing by a negative number the sign remains the same the answer is -22/14 < x or x> -22/14 but to simply find the greatest common factor for both the numberator and demonationr which is 2 and divide from there the answer is x> -11/7 or x> -1 4/7

One way to solve 2(a - 1.1) = 5.8 is divide both sides by 2 and then add 1.1 on both sides to find a = 4.

To solve 5/2 b - 2 3/4= 7 1/4, add 2 3/4 on both sides, and then multiply both sides by 2/5 to find b = 4.4

In the equation a and b divide the same value.

What is an equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Given equation is

2(a - 1.1) = 5.8

divide both sides by 2

a - 1.1 = 5.8/2

a - 1.1 = 2.9

Add 1.1 on both sides:

a - 1.1 + 1.1 = 2.9 + 1.1

a = 4.

Another equation is

5/2 b - 2 3/4= 7 1/4

add 2 3/4 on both sides:

5/2 b= 7 1/4 + 2 3/4

Convert the mixed fraction to improper fraction:

5/2 b  = 29/4 + 15/4

5/2 b  = 44/4

Multiply both sides by 2/5:

b = (44/4) × (2/5)

b = 11× (2/5)

b = 22/5

b = 4.4

Both number 4 a and 4.4 is divisible by 4.

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An elevator stop for 23 floor.

it went up so +18

it came down so -11

again it went upward +16

so... 18-11+16

=18+16-11

=34-11

=23

An elevator or lift is a cable-assisted, hydraulic cylinder-assisted, or roller-track assisted machine that vertically transports people or freight between floors, levels, or decks of a building, vessel, or other structure. They are typically powered by electric motors that drive traction cables and counterweight systems such as a hoist, although some pump hydraulic fluid to raise a cylindrical piston like a jack.

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Answer:

  24th floor

Step-by-step explanation:

You want to know where an elevator stopped if it started at the first floor, went up 18, down 11, and back up 16.

If it started at the first floor and went up 1, it would be at the 2nd floor. Starting from the first floor and going up 18, it would be at the 19th floor.

Down 11 floors from there is the 8th floor. Back up 16 floors from the 8th floor puts the elevator at the 24th floor.

The elevator stopped at the 24th floor.

__

Additional comment

If there is no 13th floor, then it may have stopped at the 25th floor.

forty-five times three equals one-hundred-thirty-five

45x3=135

The equation of the line is y = -2x + c

What is an equation ?

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."

The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.

Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. The expression on the left and the expression on the right are shown to be equal in reference to one another.

To find the slope, use the two points (4.5,0) and (0,9) and substitute these in the slope formula:

m = [tex]\frac{(y_{2} - y_{1})}{(x_{2} - x_{1} )}[/tex]

   = (9 - 0) / (0 - 4.5)

   = -2

The equation of the line is

y = mx + c

y = -2x + c

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By applying this theory, it is discovered that there is an 0.5 = 50% chance that the marble will land on a 00 or even slot.

A probability is calculated by dividing the entire number of possible outcomes by the desired outcomes.

In this issue:

The preferred likelihood is:

P = D/T

P = 19/38 = 0.5

Thus, the probability that the marble will land on a 00 or even slot is 50%, or 0.5.

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The complete question is-

When playing American​ roulette, the croupier​ (attendant) spins a marble that lands in one of the 38 slots in a revolving turntable. The slots are numbered 1 to​ 36, with two additional slots labeled 0 and 00 that are painted green. Consider the numbers 0 and 00 as neither even nor odd. Half the remaining slots are colored red and half are black. Assume a single spin of the roulette wheel is made. Find the probability of the marble landing on a 00 or even slot.

Answer:

q = -9

Step-by-step explanation:

(3, -15), (4, -21)

(-21 + 15)/(4 - 3) = -6/1 = -6

y + 15 = -6(x - 3)

y + 15 = -6x + 18

y = -6x + 3

q = -6(2) + 3 = -12 + 3 = -9

0.3108 is the probability that a single tire randomly selected from the population will have a lifetime between 46,800 and 49,200 miles

Probability is a mathematical discipline that concerns with numerical figures of how probable an occurrence is to occur or how probably a statement is to be true. A number between 0 and 1 is the probability of an occurrence, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

X ~ N ( µ = 48000 , σ = 3000 )

As we know, P ( 46800 < X < 49200 )

Standardizing the  value, we get -

Z = ( X - µ ) / σ

Z = ( 46800 - 48000 ) / 3000

Z = -0.4

Z = ( 49200 - 48000 ) / 3000

Z = 0.4

Also,

P ( -0.4 < Z < 0.4 )

P ( 46800 < X < 49200 ) =  P ( Z < 0.4 ) - P ( Z < -0.4 )

P ( 46800 < X < 49200 )  = 0.6554 - 0.3446  (Probability calculated from Z table)

P ( 46800 < X < 49200 )  = 0.3108

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Answer: 1/2

Step-by-step explanation:

Let N be any number and M be the additive inverse of N

N + M = 0 = M + N

that additive inverse of N is - N

x + ( - 1/2 ) = 0

x - 1/2 = 0

x = 1/2

the additive inverse of -1/2 is 1/2

Answer:

b = 72

Step-by-step explanation:

Since AB and AC are congruent then Δ ABC is isosceles with base angles also congruent, that is

∠ ACB = ∠ ABC = b

the sum of the 3 angles in the triangle is 180° , then

b + b + 36 = 180

2b + 36 = 180 ( subtract 36 from both sides )

2b = 144 ( divide both sides by 2 )

b = 72

Answer:

YES

Step-by-step explanation

it is just vocab words you probably have to study

Answer:

152°

Step-by-step explanation:

Circle Theorem vocabulary

Secant: a straight line that intersects a circle at two points.

Arc: the curve between two points on the circumference of a circle

Intercepted arc: the curve between the two points where two chords or line segments (that meet at one point on the other side of the circle) intercept the circumference of a circle.

Angles of Intersecting Secants Theorem

If two secant segments are drawn to the circle from one exterior point, the measure of the angle formed by the two lines is half of the (positive) difference of the measures of the intercepted arcs.

[tex]\implies m \angle PRD=\dfrac{1}{2}\left(m\overset{\frown}{PD}-m\overset{\frown}{QS} \right)[/tex]

From inspection of the given diagram:

Substitute these into the formula and solve for x:

[tex]\implies 50^{\circ}=\dfrac{1}{2}\left((12x+8)-(4x+4)\right)^{\circ}[/tex]

[tex]\implies 50^{\circ}=\dfrac{1}{2}\left(8x+4\right)^{\circ}[/tex]

[tex]\implies 100^{\circ}=(8x+4)^{\circ}[/tex]

[tex]\implies 96^{\circ}=8x^{\circ}[/tex]

[tex]\implies x=12[/tex]

Substitute the found value of x into the expression for arc PD:

[tex]\implies m\overset{\frown}{PD}=(12x+8)^{\circ}[/tex]

[tex]\implies m\overset{\frown}{PD}=(12 \cdot 12+8)^{\circ}[/tex]

[tex]\implies m\overset{\frown}{PD}=(144+8)^{\circ}[/tex]

[tex]\implies m\overset{\frown}{PD}=152^{\circ}[/tex]

Therefore, the measure of arc PD is 152°.

The probability that  is more likely between selecting a tube of blue or yellow paint, OR selecting a tube of green or red paint id; Both are equally lilkely.

We are given;

Number of blue tubes = 7

Number of red tubes = 4

Number of yellow tubes = 3

Number of green tubes = 6

Thus;

Total number of painted tubes = 7 + 4 + 3 + 6 = 20

Probability of selecting a blue tube = 7/20

Probability of selecting a red tube = 4/20

Probability of selecting a yellow tube = 3/20

Probability of selecting a green tube = 6/20

Thus;

P(selecting a tube of blue or yellow paint) = (7/20) + (3/20) = 10/20

P(selecting a tube of green or red paint) = (6/20) + (4/20) = 10/20

Thus, they are equally likely.

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By evaluating the linear equation, we will see that Mr. Dyson will buy 20 packs of nickel strings.

We know that the linear equation:

6x + 4.5*y = 90

Represents the given situation, where the variable x is the number of bronze strings and y is the number of nickel strings.

We want to find the number of packs of nickel strings that he will buy if he does not buy any bronze strings, so we need to evaluate in x = 0.

We will get:

6*0 + 4.5*y = 90

4.5*y = 90

y = 90/4.5 = 20

He will buy 20 packs of nickel strings.

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Answer: 2.666666etc..

Step-by-step explanation:

Answer:

2.64

Step by step explanation

4/9=0.44

0.44×6=2.64

Answer:

Step-by-step explanation:

[tex]P(t)=400cos(30t-180)+1100[/tex]

a.  What was the population of arctic foxes in Yukon in 1992?

t' represents the number of years since 1992. So plugging in 0 gives the population in 1992.

[tex]P(0)=400cos(30*0-180)+1100[/tex]

Subtract 180 from 0.

[tex]P(0)=400cos(-180)+1100[/tex]

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the second quadrant.

[tex]P(0)=400(-cos(0))+1100[/tex]

The exact value of cos (0) is 1.

[tex]P(0)=400(-1*1)+1100[/tex]

[tex]P(0)=400*-1+1100[/tex]

Multiply 400 by −1. Then add −400 and 1100.

[tex]P(0)=700[/tex]

D. What will be the population of arctic foxes in 2030?

[tex]P(38)=400cos(30(38)-180)+1100[/tex]

[tex]P(38)=900[/tex]