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Answer:

C = 75 in

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Assume that the height of all people follows a normal distribution with a mean of 69 in and a standard deviation of 2.9 in.

This means that [tex]\mu = 69, \sigma = 2.9[/tex]

Calculate the cut-off height (C) that ensures only people within the top 2.5% height bracket are allowed into the team.

This is the 100 - 2.5 = 97.5th percentile, which is X when Z has a pvalue of 0.975, so X when Z = 1.96.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.96 = \frac{X - 69}{2.9}[/tex]

[tex]X - 69 = 1.96*2.9[/tex]

[tex]X = 74.7[/tex]

Rounded to the nearest inch,

C = 75 in

Answer:

Min = 3

Max = 11

First Quartile = 6

Median = 7

Third Quartile = 9

Step-by-step explanation:

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Answer:

Your welcome

Step-by-step explanation:

Answer:

A. 0, - 9

Step-by-step explanation:

Given

x² + 9x = 0

x (x + 9 ) = 0

Either

x = 0

or,

x + 9 = 0

x = - 9

Hope it will help :)

The values of x that satisfy the equation x² + 9x = 0 are x = 0 and x = -9.

Option A is the correct answer.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

x² + 9x = 0

To solve for x, we can factor the expression:

x(x + 9) = 0

According to the zero product property, this equation is satisfied if either x = 0 or x + 9 = 0.

We have two solutions:

x = 0 or x = -9

Therefore,

The values of x that satisfy the equation x² + 9x = 0 are x = 0 and x = -9.

Learn more about equations here:

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[tex](-8)*\frac{2}{3} = -\frac{16}{3}[/tex]

[tex](-8)*(-\frac{2}{3} ) = \frac{16}{3}[/tex]

[tex]-\frac{18}{3} = -6[/tex]

[tex]\frac{-18}{-3} = 6[/tex]

Answer:

c.

Step-by-step explanation:

The solution is Option C.

Sample space is  set A = { blue , blue } , { blue , green } , { blue , red }

The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B

The union of two sets is a new set that contains all of the elements that are in at least one of the two sets

The intersection of two sets is a new set that contains all of the elements that are in both sets

Given data ,

Let the sample space be represented as set A

Now , the equation will be

The number of blue cars = 2 blue cars

The number of green cars = 1 green car

The number of red cars = 1 red car

So , the total number of cars = 2 + 1 + 1 = 4 cars

Now , Andy removes 2 race cars from the toy box without looking

Let the first removed car be a blue car

So , the second car can have any value including a blue , green or white

And , the sample space is given by set A

Set A = { blue , blue } , { blue , green } , { blue , red }

Hence , the set is { blue , blue } , { blue , green } , { blue , red }

To learn more about sets click :

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Answer:

Step-by-step explanation:

slope (m) = 1

y-intercept (c) = - 1

Writing in slope intercept form

y = mx + c

y =  x - 1

hope it helps :)

Answer:

y is 15 x is 3

Step-by-step explanation:

Answer:

x= -6

y= -5

Step-by-step explanation:

(x,y) = (-6, -5)

Answer:

(-6,-5)

x=-6

y=-5

Step-by-step explanation:

9x-7y=-19

5x-3y=-15

When solving with elimination, you multiply both equations by a number to get two terms to cancel each other out.

We can try to get the y's to cancel out. The LCD of 7 and 3 is 21, so we multiply one equation by 3 and another by -7 (to get one -21y and one 21y)

{9x-7y=-19}*3=

27x-21y=-57

{5x-3y=-15}*(-7)=

-35x+21y=105

Now, we combine the two equations.

27x-21y=-57

-35x+21y=105

-8x=48

Now, solve for x.

-8x=48

x=-6

Now we can plug x into one of the original equations to get y.

I will use 9x-7y=-19.

9(-6)-7y=-19

-54-7y=-19

Add 54 to both sides.

-7y=35

y=-5

We can put these values into an ordered pair: (-6,-5).

Answer:

c

Step-by-step explanation:

The two quadrilaterals LMNR and PQNO are not similar. Timo tried to map one figure onto the other using rotation and dilation methods. He concluded that they are not similar because the rigid transformations like rotation preserve congruence and dilation will not change the shape but it changes its size. So, this results in no congruence.

Here Timo used rotation and dilation on the two quadrilaterals LMNR and PQNO. So, this resulted in a change in the size of the quadrilaterals. Because of this, Timo concluded that "it's not possible to map LMNR onto PQNO using a sequence of rigid transformations and dilations, so the quadrilaterals are not similar".

Learn more about rigid transformations and dilation here:

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Answer:

5.16

Step-by-step explanation:

We multiply the number of weeks by the number of days to find the total amount of days that she ran:

5 weeks × 3 days/week = 15 days

We are looking for the amount of miles/day (which represents the number of miles per day).

So, we take [tex]\frac{77.4miles}{15days}[/tex]= 5.16 miles/day

Part A

Answer: Choice D) [tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}[/tex]

-----------------------------------------------

Explanation:

Let E be the intersection point of the diagonals. For any parallelogram, the diagonals bisect each other. This means that AE = EC = 2n+5 and it also means EB = DE = 4n-3

Focus on triangle AED. This triangle is a right triangle with angle AED as a 90 degree angle (any rhombus has its diagonals that are perpendicular to one another). The legs of this triangle are AE = 2n+5 and ED = 4n-3

Apply the pythagorean theorem to find hypotenuse AD

[tex](\text{leg1})^2+(\text{leg2})^2 = (\text{hypotenuse})^2\\\\(\text{AE})^2+(\text{ED})^2 = (\text{AD})^2\\\\(\text{AD})^2 = (\text{AE})^2+(\text{ED})^2\\\\\text{AD} = \sqrt{(\text{AE})^2+(\text{ED})^2}\\\\\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\[/tex]

This points to choice D as the final answer.

===========================================================

Part B

-----------------------------------------------

Explanation:

If AC = 14, then half of this is AE = 7. The diagonals bisect each other, so they cut each other in half with E at the midpoint.

Since AE = 2n+5, we can solve for n like so

2n+5 = 7

2n = 7-5

2n = 2

n = 2/2

n = 1

Then we can find the length of AD

[tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\\text{AD} = \sqrt{(2*1+5)^2+(4*1-3)^2}\\\\\text{AD} = \sqrt{(2+5)^2+(4-3)^2}\\\\\text{AD} = \sqrt{7^2+1^2}\\\\\text{AD} = \sqrt{49+1}\\\\\text{AD} = \sqrt{50}\\\\\text{AD} \approx 7.0710678\\\\\text{AD} \approx 7.07\\\\[/tex]

Segment AD is roughly 7.07 units long. The other external sides of the rhombus (AB, BC and CD) are also this length because the four sides of any rhombus are the same length.

Answer:

x = 18

Step-by-step explanation:

you set the 2 equations equal to eachother

you minus x on both sides to get x on one side

than find the answer

Answer:

Step-by-step explanation:

Paul receives 3x; Helen receives 4x.

4x = £20

x = £5

Paul receives £15

Answer:

B

Step-by-step explanation:

We assume the function goes infinitely both "left" and "right" so the domain is (-inf, inf).

We can also see that it has a maximum in (0, 10), so it takes all the values from -inf to 10 exactly. If it never reached 10, it'd be (-inf, 10) but it does, so it's (-inf, 10].

Answer:

5 1/4

Step-by-step explanation:

If each canvas takes up 4 oz of paint then you should take 21 and divide it by 4 to get the answer. Erven can only paint 5 full canvases and 1/4 of another canvas.

Answer:

(2, 4)

Step-by-step explanation:

Given the system of equations

y=3×-2.... 1

y-2=×​ ... 2

Substitute 2 into 1

y = 3(y-2) - 2

y = 3y - 6 - 2

y - 3y =-6-2

-2y = -8

y = -8/-2

y = 4

Recall that

x = y - 2

x = 4-2

x = 2

Hence the solution (x, y) is (2,4)

Answer:

(B)

b + t = 15

2b + 3t = 45

Step-by-step explanation:

Bicycles and tricycles are represented by the letters b and t respectively.

total no of bicycles and tricycles = 15

So,

b + t = 15

Each bicycle has 2 wheels and each tricycle has three wheels.

So,

No of wheels in b bicycles = 2b

No of wheels in t tricycles = 3t

Total no of wheels = 45

So,

2b + 3t = 45

Answer:

7.8^5

Step-by-step explanation:

Answer:

220

Step-by-step explanation:

Area = length · width

Area = 22 · 10

Area = 220

Note:

Please mark as Brainliest! <3

Answer:

See answers below

Step-by-step explanation:

Given that sin theta = √3/√7

Opposite =√3

Hypotenuse = √7

Get the adjacent

Adj² = (√7)²-(√3)²

Adj² = 7-3

Adj² = 4

Adj = √4

Adj = 2

Cos theta = adj/hyp = 2/√7

csc theta= 1/sin theta = 1/(√3/√7) =

√7/√3

sec theta= 1/costheta = 1/(2/√7) = √7/2

tan theta= opp./adj = √3/2

cot theta =1/tan theta = 1/(√3/2) = 2/√3

= 2√3/3

Answer:

-390 is your answer

Answer:

Step-by-step explanation:

PEDMAS - Parenthesis , Exponents ,  Division, Multiplication , Addition and subtraction.

(-9 - 6 *5) *10 = (-9 - 30) *10

                     = -39 *10

                     = -390

Answer:  Like terms are combined together in algebraic expression so that the result of the expression can be calculated with ease. For example, 7xy + 6y + 6xy is an algebraic equation who's like terms are 7xy and 6xy. Therefore, this expression can be simplified by combining like terms as 7xy + 6xy + 6y = 13xy + y.

Step-by-step explanation:

Answer:

If in a equation there are numbers that have the same letters you can just add them or subtract them depending on the signs.

Step-by-step explanation:

For example this equation:

2x + 7b - 7x + 9b + 1a - 22a

So you just put them in different categories(Remember to bring them with the sign that's in front of each number) after that you just add or subtract them

category x(only numbers that have x's go here):     +2x-7x  = -5x

category b (only numbers that have b's go here):    +7b+9b = +16b

category a (only numbers that have a go here):       +1s-22b = -21a

now just put them in the same equation:

-5x+16-21a

and done!^^

Hope this example helped~

Answer: I think the greatest common factor is 4x^2

Step-by-step explanation:

Find the numerical common factors. Which are 8, -12, and 20. Find the variable common factors for x^4, x^3, and x^2. Multiply them together. Then break down the factors on both sides and pick the biggest one. Finally multiply them together. (I’m sorry, I’m very bad at explaining things.)

Required table is attached below :

Answer:

0.56

Step-by-step explanation:

Since they both have :

SAT score is the same ; quality of letter is the same ;

High school GPA is 1.5 points higher ;

Therefore, to determine how much Mary's GPA will be higher than Karen's :

Multiply the number of points by the Coefficient of high school GPA Given in the regression table attached below :

High school GPA Coefficient = 0.37635

Number of points = 1.5

= 1.5 * 0.37635

= 0.564525

= 0.56

Answer:

Disect the shape

Step-by-step explanation:

6 x 10 x 18 ÷ 2 = (Answer)

Answer:

no babe

Step-by-step explanation:

Answer:

(-1,-2)

Step-by-step explanation:

Think of the line y=x as a mirror.  The image of the point (1,2) is obtained by drawing a line through (1,2) perpendicular to the line y=x and finding the point on the perpendicular line that is equal distance from the line y=x but on the other side. This gets you to the point (2,1).

Similarly, from (2,1) find the mirror image using the line y=-x as the mirror. You travel diagonally 1.5 diagonal squares to reach y=-x and then continue another 1.5 diagonals to reach (-1,-2) which is your answer.