The mean and standard deviation of a normal distribution are 150 and 12 respectively. What percentage of values lie between:
a) 138 and 162
b) 126 and 174
c) 126 and 162
d) 162 and 174​

Answer:

4 sets

Step-by-step explanation:

The number of sets can Javier do before practice is over is 4.

Given that, Javier's swim practice is 1 1/2 hours long. The team spends 1/6 of an hour stretching before they start their practice sets. If each practice set takes 1/ 3 of an hour.

We need to find how many sets can Javier do before practice is over.

The steps for adding and subtracting fractions are as follows:

Step 1: Make denominators the same

Step 2: Add/Subtract the numerators (keeping the denominator as same)

Step 3: Simplify the fraction

We can write 1 1/2 as 3/2

Now, the number of hours left after stretching =  3/2 - 1/6

=9/6 - 1/6

=8/6

=4/3

So, number of sets = 4/3 ÷ 1/3

= 4/3 × 3/1

=4

Therefore, the number of sets can Javier do before practice is over is 4.

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Answer:

Coordinates of B is (3,-4)

Step-by-step explanation:[tex]\frac{-7+x^{2} }{2}=-2[/tex]

[tex]\frac{2+y^{2} }{2} =-1[/tex]

You multiply -2 by 2 to get -4 and then create the equation [tex]-7+x^{2} = -4[/tex] then you substitue -7 for +7 and add +7 to -4 which gives you 3 (x coordinate of B)

You multiply -1 by 2 to get -2 and then create the equation[tex]2+y^{2} =-2[/tex] then you subtract 2 by -2 which gives you -4 (y coordinate of B)

To check your answer use the midpoint formula [tex]( \frac{x^{1} +x^{2}}{2} ) ( \frac{y^{1} +y^{2}}{2} )=M[/tex]

[tex]\frac{-7+3}{2} =\frac{-4}{2} =-2\\\frac{2+ -4}{2} =\frac{-2}{2} =-1[/tex]   which will give you the midpoint (-2,-1)

The required coordinate of the endpoint B is given as (3, -4).

A midpoint is a point on the line whose distance from both ends of the line is equal.

Here,
midpoints between any two points are given as,
x = x₁ + x₂ / 2    ; y = y₁ + y₂

since, the midpoint of AB is M(-2, -1). If the coordinates of A are (-7, 2),

So we have (x , y) = (-2, -1) and A(x₁, y₁) = (-7, 2), and to determine B(x₂, y₂)

Now.
x = x₁ + x₂ / 2    ; y = y₁ + y₂/2

-2 = -7 + x₂ /2  ; -1 = 2 + y₂ /2
x₂ = 3               ; -4

Thus, the required coordinate of the endpoint B is given as (3, -4).

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Answer:

Yes, she did not reverse the inequality sign when the last step was to multiply or divide by a negative number,

Step-by-step explanation:

Yes, Amanda make a mistake.

An error analysis on Amanda's work is in the last step, which is;

-1x ≤ -12 ⇒ x ≤ 12

The other student says that;

-1x ≤ -12 ⇒ x ≥ 12

Here,

Amanda was asked by her math teacher to solve an inequality on the board.

Amanda put the following on the board:

3x - 2(x - 1) ≤ 2x - 10

3x - 2x + 2 ≤ 2x - 10

1x ≤ 2x - 12

-1x ≤ -12

x ≤ 12

We have to find Amanda mistake to solve the inequality.

What is Inequality?

An inequality is a relationship between two expressions or values that are not equal to each other.

Now,

Amanda was asked by her math teacher to solve an inequality on the board.

Amanda put the following on the board:

3x - 2(x - 1) ≤ 2x - 10

3x - 2x + 2 ≤ 2x - 10

1x ≤ 2x - 12

-1x ≤ -12

x ≤ 12

Clearly, on last step Amanda make mistake to solve.

The correct solution is;

3x - 2(x - 1) ≤ 2x - 10

3x - 2x + 2 ≤ 2x - 10

1x ≤ 2x - 12

-1x ≤ -12

x ≥ 12

Hence,  Amanda make a mistake.

An error analysis on Amanda's work is in the last step, which is;

-1x ≤ -12 ⇒ x ≤ 12

The other student says that the correct solution in last step is;

-1x ≤ -12 ⇒ x ≥ 12

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Answer:

12.5 is to the nearest tenth

12.54 is to the nearest hundredth

Step-by-step explanation:

12.537

The first number after the decimal is the tenths place

we look at the number after it to determine whether to round up or down

12.53  the 3 is less than 5 so we leave it alone

13.5 is rounded to the nearest tenth

The second number after the decimal is the hundrdeths place

we look at the number after it to determine whether to round up or down

12.537  the 7 is greather than or equal to 5 so we round up

13.537  is rounded becomes 13.54

Answer:

multiply the population of town with the growth rate to find answer

Step-by-step explanation:

Plz mark brainliest

Answer:

83,040

Step-by-step explanation:

I multiplied the original number by ten

Answer:

c

Step-by-step explanation:

i go to norcross high school btw . smh ;)

The value of exterior angle is 100

If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.

Given:

angle 1 = 30

angle 2 = 7x

exterior angle= 10x

Now using exterior angle property

10x= 7x+30

3x= 30

x=10

Hence, the exterior angle is 10x= 100 degree

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Answer:

The y-intercept would be 4

Step-by-step explanation:

Exact Form: 5/2

Decimal Form: 2.5

Mixed Number Form: 2 1/2

Answer:

2.5 or 5/2 or 2 1/2

Step-by-step explanation:

Answer: D

Step-by-step explanation:

To find the inverse, you switch x with y and y with x. Then, you solve for y.

y=4x         [switch y with x and x with y]

x=4y         [divide both sides by 4]

y=x/4

Now, we know the answer is D.

Answer:

x=-3

Step-by-step explanation:

it just simple divide both sides by -4

-4x / -4 = 12/-4

x=-3

Answer:

-3

Step-by-step explanation:

Divide 12/-4  

Which equals -3 So that would be you answer

Answer: A

Step-by-step explanation:

For this problem, we need to understand how translations work.

As you can see, the triangles only slide to the right side, along the x axis. Therefore, we can eliminate B and C.

Now, we can see that the triangle has shifted by +8 units. Therefore, A is the correct answer.

Answer:7x

Step-by-step explanation:because you can’t multiply them like 2*2 so you just put them together

Answer:

1. the 3rd one

2. -9

3. 15

4. -8

Answer:

s= (-3, 10)

Step-by-step explanation:

x= 0-3=-3

y=5+5=10

Answer:

question unclear

Step-by-step explanation:

The equation that represents the line will be y = (4/3)x. And the two points on the line will be (0, 0) and (3, 4).

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

From the graph, the line is passing through (0, 0) and (3, 4). Then the equation of the line is given as,

(y - 0) = [(4 - 0) / (3 - 0)](x - 0)

Simplify the equation, then we have

(y - 0) = [(4 - 0) / (3 - 0)](x - 0)

y = (4/3)x

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Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

( -1, 1 ) and ( 5, -5 )

The midpoint is

[tex]M = ( \frac{ - 1 + 5}{2} , \: \frac{ 1 - 5}{2} ) \\ = ( \frac{4}{2} \: , \: - \frac{4}{2} )[/tex]

We have the final answer as

Hope this helps you

Answer:

2261.46

Step-by-step explanation:

51142% = 5114200

√ 5114200 = 2261.46

Answer:

12 2/5

Step-by-step explanation:

Answer:

-12.4 or -62/5 or -12   2/5

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 8 {x}^{2} + 10x - 3}}}}}[/tex]

Option B is correct.

Step-by-step explanation:

[tex] \sf{(4x - 3)( - 2x + 1)}[/tex]

Use the distributive property to multiply each term of the first binomial by each term of the second binomial

[tex] \dashrightarrow{ \sf{4x( - 2x + 1) - 3( - 2x + 1)}}[/tex]

[tex] \dashrightarrow{ \sf{ - 8 {x}^{2} + 4x + 6x - 3}}[/tex]

Add like terms: 4x and 6x

[tex] \dashrightarrow{ \sf{ - 8 {x}^{2} + 10x - 3}}[/tex]

Hope I helped!

Best regards! :D

Answer:

Simon used 50 blocks

Ron used 60 blocks

Together, they used 110 blocks.

Here is the question as an equation-

(5x10)+(6x10)=

Answer: its the first one bud

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

If you find the given values on the number line and compare them, you can see that -2 is further to the right than -2.5, so -2 is greater than -2.5.

The further to the right a number is, the greater it is.

Answer:Expanded Notation Form:

 80,000  

+ 6,000  

+ 400  

+ 20  

+ 5  

Step-by-step explanation:

Expanded Exponential Form:

8 × 104

+ 6 × 103

+ 4 × 102

+ 2 × 101

+ 5 × 100

Answer:

[tex]x = A cos\theta[/tex]

Step-by-step explanation:

Given

Resultant Vector = A

Required

Determine the x component of vector A

To answer this question, I'll make use of the attachment

In the attachment, the relationship between A and the x component is as follows (using Pythagoras theorem):

[tex]cos\theta = \frac{x}{A}[/tex]

Multiply both sides by A

[tex]A * cos\theta = \frac{x}{A} * A[/tex]

[tex]A * cos\theta = x[/tex]

[tex]A cos\theta = x[/tex]

Reorder the equation

[tex]x = A cos\theta[/tex]

Hence, the x component of A is: [tex]Acos\theta[/tex]

Answer: g(h(2))=8

Step-by-step explanation:

To find g(h(2)), you first need to solve h(2). After you find that value, you plug that value into g(x).

h(2)=2(2)-1                        [multiply]

h(2)=4-1                             [subtract]

h(2)=3

Now that we know h(2)=3, we plug 3 into g(x).

g(3)=3+5                            [add]

g(3)=8

After we have plugged in h(2) into g(x), we got g(h(2))=8.

Answer:

-19.8

Step-by-step explanation:

-9 * 2.2

Forget about the - for now.

Multiply 2.2 by 9

The answer is 19.8

So the when the signs are different the answer is always a negative number after multiplying.

So the answer automatically becomes -19.8

HOPE IT HELPED

Answer:

1

Step-by-step explanation:

Answer:

4 + (-3) = 1

i hope that helps!

Answer:

Class 443 and 445

Step-by-step explanation:

x + x + 2 = 888

2x = 886

x = 443

x+2 = 445