Suppose that the distribution for a random variable x is normal with mean 9 and standard deviation σ, and P(x<0)=0.0658. Rounded to two decimal places, what is σ?

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to convert 0.2 to fraction, we simply find two numbers that when divided, the quotient would be 0.2

We have a triangle with 2 sides of length 15 and 19.

We have to find the smallest possible whole number length for the 3rd side.

We can draw this as:

The third size is x.

If we reduce h, approaching to 0, x is minimized.

When h is very close to 0 (if h=0, the triangle cease to exist), the value of x can be written as a little bigger than the difference between the largest side (19) and the other side (15).

Then, x is, in the limit h-->0:

As x>4, the next whole number is 5.

NOTE: if x=4, the triangle does not exist, as there is no height or 3 angles.

Answer: The smallest whole number length for the 3rd side is 5.

Since ABCD is a quadrilateral, the sum of internal angles is equal to 360°.

Using this property, let's find the measure of angle C:

The measure of angle C is 81°, therefore the correct option is C.

Tou have the following expression:

780(49)

in order to simplify the previous expression, write 49 as 40 + 9 and apply distributive property:

780(40 + 9) = 780*40 + 780*9 = 3120 + 7020 = 10140

Hence, the answer is 10140

therefore,

Answer:

Explanation:

Here, we want to get the plot of the parabola

We start by getting its vertex

We have that as follows:

We have the vertex form as follows:

The vertex here is thus (-1,16)

To get the other point, we can equate the values in the brackets to zero and solve for x

We have that as:

The other points are thus (3,0) and (-5,0)

Thus, we can join (-1,16) with either (3,0) and (5,0) as shown below:

If b is a root of a polynomial equation then (x - b) is a FACTOR of the Polynomial

Question 2

polynomial y = x^2 + x + 6

If root = 2

Then the factor is iven by

(x - 2)

In a trpezium, the median line is always parallel to the bases. The expression for the length of the median of trapezium is :

In the trapezium: NM = ML=LK=PQ=QR=RS

we have : NP = 8, LR =20

Conisder the case of trapezium NPLR, where MQ is the median

From the expression of the length of median:

Now, consider the case of trapezium MQSK, where LR is act as median, MQ= 14, LR =20

From the expression of the length of median

So, the diameter of the bottom KS is 26 inches

Answer : the diameter of the bottom KS is 26 inches

We will have the following:

*First, we construct the expression that is given in the text, that is:

*Second: We operate:

So, Jodie invested $12 400 in each account.

The general rule for a 90° counterclockwise rotation is

We have to apply this rule to each point on the given table.

A'(-3,2)

B'(-3,5)

C'(-5,1)

D'(-5,6)

The quadratic function given:

The x-intercept(s) is the x-axis cutting points. It occurs at y = 0. Thus, we substitute '0' into 'f(x)' and solve for the x values.

As we can see, there are 2 x-intercepts, at x = 3 and x = -7.

First, identify an expression for the phrase "twice a number v".

The word "twice" means "two times" or "double", and refers to a multiplication by the number 2.

Then, "twice a number v" can be written using algebraic language as 2v.

So, the phrase "twice a number v plus 52" is equivalent to "2v plus 52", which can be expressed in algebraic languaje as 2v+52.

Therefore, the correct choice is option A) 2v+52

the image after a dilation factor can be found using the multiplication of the dilation factor with the coordinates.

using this,

To graph a linear equation:

1. Find the x-intercept

The x-intercedpt is the point when the line cross the x-axis (when y=0)

First point (-1 ,0)

2. Find the y-intercept

The y-intercept is the point when the line cross the y-axis (when x=0)

Second point (0 , -3)

3. Put in the plane the x and y-intercepts and draw a line that pass through these points:

Besides the x- and y-intercepts you can identify point (-2,3)

Let y=f(x) is the original function and y=f(ax) is the new function, where a is a constant.

Then, y=f(ax) is a horizontal stretch or horizontal compression of f(x).

If a>1, then the graph of f(x) is compressed by 1/a.

If 0

The given function is y=f(x).

The new function is y=f(3x). It is of the form y=f(ax).

The constant 3 is greater than 1.

Therefore, the graph of y=f(3x) is the compression of the graph of f(x) by 1/3.

Identify some points on the graph of f(x) in the form (x, y).

(3, 0), (0, 3) and (-3, 0 ) are points on the graph of f(x).

Let (x', y') be a point on the graph of y=f(3x).

The transformation of each of the point on y=f(x) to y=f(3x) can be represented as,

(x, y)-->(x', y')-->(x/3, y).

For points (3, 0), (0, 3) and (-3, 0 ), the transformation can be described by ,

1. translation 1 unit left and 6 units down

2. Stretch vertically by a factor of 6 and translate 1 unit down

3. Compress horizontally by a factor of 6 and translate 1 unit down

4. Translation 6 units left and 1 unit up

Given the expression:

To solve the expression, follow the steps below:

Step 01: Add 3 to both sides.

Step 02: Divide both sides by 12.

Step 03: Take the square root of both sides.

Step 04: Evaluate the results.

First, let's evaluate sin(x) = 1/2.

Sin(x) is positive in the first and in the second quadrant. Then,

Second, let's evaluate sin(x) = -1/2.

Sin(x) is negative in the third and in fourth quadrant. Then,

Answer:

To find the initial value of the car replace when t=0

To find the value after 13 years use t=13

Step 1: Write out the formuar for the lateral area of the shape given

Step 2: Write out the given data

Step 3: Substituting and getting the solution

Hence the answer is 50.24ft²

The answer is C

step 1

Find out the slope

we need two points

looking at the table

we take

(1,3) and (2,4)

m=(4-3)/(2-1)

m=1/1

m=1

step 2

Find out the equation in slope-intercept form

y=mx+b

we have

m=1

point (1,3)

substitute and solve for b

3=(1)(1)+b

3=1+b

b=2

therefore

y=x+2

Answer:

• Domain: (0,5)

• Range: [-2,3]

Explanation:

Domain

The domain is the set of all the real values x along the x-axis for which there is a point on the given graph.

The graph is open at x=0 and open at x=5.

Therefore, the domain of f(x) is:

The range is the set of all the real values y along the y-axis for which there is a point on the given graph.

• The minimum value of y=-2 and the graph is closed at that point.

• The maximum value of y=3 and the graph is also closed at that point

We represent the range using the notation below:

SOLUTION

The shaded part is a sector.

It is one-fourth the area of the whole circle

Area of a circle is given as

So, the area of the shaded sector becomes

Hence, the answer is

To find the unit rate we need to divide the the total cost of the bars by the number of bars bought. On this case we have:

On this case each bar costs $ 1.5

Answer:

n = 59°

Explanation:

Given: Angles n and (2n+3) are supplementary.

Two angles are said to be supplementary if they add up to 180 degrees.

Therefore:

Solve the equation for n:

The value of n is 59°.

2 - 1 1/3 is

2 - 4/3 = (6-4)/3 = 2/3

2 - 1 + 1/3 is

1 + 1/3 = 4/3

According to Q

Since she can plant 16 seeds per square foot, then

We must find the area of the lawn

Since the lawn is shaped a rectangle of dimensions 4 ft and 3 ft, then

Since 1 square foot = 16 seed, then

12 square feet = 12 x 16 = 192 seeds

She will need 192 seeds to plant the entire lawn

GRADE FREQUENCY RELATIVE FREQUENCY % RELATIVE FREQUENCY

A 4 4/39 4/39 x 100 = 10.26

B 10 10/39 10/39 x 100 = 25.64

C 17 17/39 17/39 x 100 = 45.59

D 6 6/39 6/39 x 100 = 15.38

F 2 2/39 2/39 x 100 = 51.28

∑F = 39

Assuming the other account is Common Stock, The balance of that account is:  $60,000.

Account balance can be defined as the amount  that is left after substracting  or deducting the liabilities from the assets.

Using this formula to determine or find the amount that will be the balance in the account

Account balance = ( Cash account+ Inventory account ) - Notes Payable (short-term) account

Where:

Cash account = $52,000

Inventory account = $20,000

Notes Payable (short-term) account = $12,000

Let plug in the formula so as to find the account balance

Account balance :

Account balance = ($52,000 + $20,000 ) - $12,000

Account balance = $ 72,000 - $12,000

Account balance = $60,000

Therefore we can conclude  that the amount of  $60,000 is the account balance.

Learn more about account balance here: https://brainly.com/question/2510966
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Explanation

Step 1

when a lines intersects a pair of parallel lines , diverse angles are created

All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent,so ( in the image yellow angles are corresponding, so)

solve for x

Step 2

now, yellow angle and ble angles are supplementary( Two Angles are Supplementary when they add up to 180 degrees),so

let

x=22

and solve for y

I hope this helps you