For a standard normal distribution,Find P(-1.21 < Z< 2.26)

From the given problem, there are 3 computer labs and each lab has "s" computer stations.

So the total number of computers is :

Mr. Baxter is ordering a new keyboard and a mouse for each computer, since the cost of a keyboard is $13.50 and the cost of a mouse is $6.50.

Each computer has 1 keyboard and 1 mouse, so the total cost needed for 1 computer is :

Since you now have the cost for 1 computer, multiply this to the total number of computers which is 3s to get the total cost needed by Mr. Brax :

Using distributive property :

Distribute s inside the parenthesis :

One answer is 1st Option 3(13.50s + 6.50s)

Simplifying the expression further :

Another answer is 4th Option 3(20.00s)

Given a function described by the table

We will find the value of (y) when x = 5

As shown in the table

When x = 5, y = 9

so, the answer will be y = 9

The cashier has 7 bills of $10 and 17 bills of $20 (found using linear equation).

According to the question,

We have the following information:

A cashier has 24 bills, all of which are $10 or $20 bills. The total value of the money is $410.

Now, let's take the number of $10 bills to be x and the number of $20 bills to be y.

So, we have the following expression:

x+y = 24

x = 24-y .... (1)

10x+20y = 410

Taking 10 as a common factor from the terms on the left hand side:

10(x+2y) = 410

x+2y = 410/10

x+2y = 41

Now, putting the value of x from equation 1:

24-y+2y = 41

24+y = 41

y = 41-24

y = 17

Now, putting this value of y in equation 1:

x = 24-y

x = 24-17

x = 7

Hence, the cashier has 7 bills of $10 and 17 bills of $20 when the total value of the money is $410.

To know more about linear equation here

https://brainly.com/question/13738061

#SPJ1

345ft²

1) Since we have the following data then we can write it down:

width: 15 ft

length: 2w-7

2) And we can write out the following equation regarding that the area of a rectangle is given by:

We can plug into that the given data:

Notice we have used the FOIL acronym. And the PEMDAS order of operations prioritizing the inner parentheses.

3) So we can state that the area of her living room is 345ft²

It is whole, integer, rational

b² - 4a

evaluated when a = 3 and b = 6 is:

6² - 4(3) =

= 36 - 12=

= 24

Hey :)

[tex]\star\sim\star\sim\star\sim\star\sim\star\sim[/tex]

Apply the little slope equation. By doing that successfully, we should get our correct slope.

[tex]\large\boldsymbol{\frac{y2-y1}{x2-x1}}[/tex]

[tex]\large\boldsymbol{\frac{1-3}{-3-(-2)}}[/tex]

[tex]\large\boldsymbol{\frac{-2}{-3+2}}[/tex]

[tex]\large\boldsymbol{\frac{-2}{-1}}[/tex]

[tex]\large\boldsymbol{-2}}[/tex]

So, the calculations showed that the slope is -2. I hope i could provide a good explanation and a correct answer to you. Thank you for taking the time to read my answer.

here for further service,

[tex]\star\sim\star\sim\star\sim\star\sim\star\sim[/tex]

Answer

t = 0.59 seconds or t = 0.85 seconds

Step-by-step explanation:

Therefore, t = 0.59 seconds or t = 0.85 seconds

Statement A is true.

In the next example, we can see a function that is not one-to-one with the help of the horizontal line test:

Statement B is true.

In the next example, we can see a relationship that is not a function because it doesn't pass the vertical line test

Statement C is false.

A sequence is a function whose domain is the set of natural numbers

Notice that f(x)=0 is special because is the intercept of the graph with the x-axis and if f(x) corresponds to a function, the x-intercepts are the roots of the function.

The ordered pair can be written as (x,0), where x is such that f(x)=0.

Based on the dimensions of the rectangular field, and the corn per acre, the number of bushels of corn can be found to be 25,772 bushels

First, find the area of the rectangular field:

= 1,080 x 924

= 997,920 yard²

Then convert this to acres with a single acre being 4,840 yards²:
= 997,920 / 4,840 square yards per acre

= 206.18 acres

The number of bushels of corn that can be grown is:

= 206.18 x 125 bushel per acre

= 25,772 bushels

Find out more on the number of bushels per acre at https://brainly.com/question/27316464

#SPJ1

Find the volume of a pyramid with a square base, where the side length of the base is

19.3 ft and the height of the pyramid is 16.2 ft. Round your answer to the nearest

tenth of a cubic foo

Remember that

the volume of the pyramid is equal to

where

B is the area of the base

h is the height

step 1

Find out the area of the base

B=19.3^2

B=372.49 ft2

h=16.2 ft

substitute the given values in the formula

SOLUTION

(a) Now from the question, we want to find during what years the number of claims decrease. Let us make the graph of the function to help us answer this

We have

From the graph above, we can see that the function decreased at between x = 0 to x = 5.381

Hence the number of claims decreased between 1990 to 1995, that is 1990, 1991, 1992, 1993, 1994 and 1995

Note that 1990 was taken as zero

(b) The relative extrema from the graph is at 5.381, which represents 1995.

Hence the interpretation is that it is at 1995 that the minimum number of claims is approximately 1363.

Note that 1363 is approximately the y-value 1363.278

a. 0.0436

b. 0.1271

We are given the following:

Distance (x) = 60,000

Mean (u) = 72,000

Standard Deviation(s) = 7,000

We are also told that it is a normal disribution relationship. The formula for ND is as follows:

z = (x - u) / s

Now we can continue with part a and b as follows:

a) P (x < 60,000)

= P (z < (60000 - 72000) / 7000)

= P (z < -1.714)

We can find the corresponding z score by looking at a z score table, and we find th probability to be 0.0436

b) P ( x > 80,000)

= P(z > (80000 - 72000) / 7000)

= P( z > 1.143)

We find the corresponding z score to be 0.8729, now we can substract this from 1 sinsce our probability is larger than the given distance (meaning we are trying to find the area to the right of the z score) to find our final answer:

1 - 0.8729 = 0.1271

The given proposition is

As you can observe, it was added angle YJN to the equation on both sides. The property that allows us to do that it's call addition property of equalities.

Given:

The dataset and table with class.

Required:

Determine the frequency of each class.

Explanation:

Answer:

Answered the question.

The length of the original square must be equal to 3 inches.

To find the length of the original square, we have to first assume the unknown length is equal x and then use formula of area of a square to determine it's length.

Since the new length is stretched by 5in, the new length would be.

[tex]l = (x + 5)in[/tex]

The area of a square is given as

[tex]A = l^2[/tex]

But the area is equal 64 squared inches; let's use substitute the value of l into the equation above.

[tex]A = l^2\\l = x + 5\\A = 64\\64 = (x+5)^2\\64 = x^2 + 10x + 25\\x^2 + 10x - 39 = 0\\[/tex]

Solving the quadratic equation above;

[tex]x^2 + 10x - 39 = 0\\x = 3 or x = -13[/tex]

Taking the positive root only, x = 3.

The side length of the original square is equal to 3 inches.

Learn more on area of square here;

https://brainly.com/question/24487155

#SPJ1

Question 1

When any point (x,y) is reflected over the x-axis, the reflection coordinate is (x,-y).

So, the x coordinate remains the same, and the y coordinate goes negative.

A = ( -6, 6 ) → A' = (-6,-6 )

B = (-2,6 ) → B' = (-2,-6)

C= (-6,1 ) → C' = (-6,- 1)

Algebraic representation: ( x, -y )

ANSWER

Radius = 3 yd

Diameter = 6 yd

EXPLANATION

We are given the circle in the figure.

The radius of a circle is defined as the distance between the centre of a circle and its circumference.

Therefore, from the circle given, the radius is 3 yards

The diameter of a circle is defined as the total distance (through the centre) from one end of a circle to another.

It is twice the radius. Therefore, the diameter of the given circle is:

D = 3 * 2

D = 6 yards

The diameter is 6 yards.

Given data:

The given table.

The given function can be express as,

As the equation of the above function is in the form of y=2x, it is linear function because for single value of x we got single value of y.

Thus, the function can be express as y=2x form which is linear function.

Problem: Find 8 3/4 ÷ 1 2/7. Write the answer in the simplest form.​

Solution:

this is equivalent to:

Now, we do cross multiplication:

then, the correct answer would be:

After performing dilation centered at the origin we get

(a) shortest side of original figure=2 units

   shortest side of the final figure=6units

(b) shortest side of the final figure=3×shortest side of the original figure

(c) True

(d) False

A transformation called a dilatation alters a figure's size without altering its shape. A figure might become larger or smaller due to dilation. For instance.

The image is smaller than the preimage when the scaling factor is between 0 and 1. Reductions are referred to as dilations with scale factors between 0 and 1.

The image is larger than the preimage if the scaling factor is greater than 1. Enlargements are defined as a dilation with a scale factor greater than 1.

To get the size of the edge we multiply the size of original lenght by scale factor.

To learn more about Dilation of Figure visit:

https://brainly.com/question/20810552

#SPJ13

Answer:

L=$15

R=$18

Step-by-step explanation:

i cant really explain the work

The equation of the line, in slope-intercept form, that is parallel to the line y = -x - 1 is: y = -x + 5.

Parallel lines have equal slope value, "m". In slope-intercept form, the equation y = mx + b represents a line, where the slope is "m" and the y-intercept is "b".

The slope of y= -x -1 is -1. This means the line that is parallel to y= -x -1 will also have a slope that is equal to -1.

Substitute m = -1 and (x, y) = (8, -3) into y = mx + b to find the value of b:

-3 = -1(8) + b

-3 = -8 + b

-3 + 8 = b

5 = b

b = 5

Substitute b = 5 and m = -1 into y = mx + b to wrote the equation of the line that is parallel y = -x -1:

y = -x + 5

Learn more about the equation of parallel lines on:

https://brainly.com/question/11345748

#SPJ1

The greatest common factor (GCF) is: 5r

You multiply 5r by d to get the first term and multiply 5r by -8 to get the second term, then the factors are:

We have to create a function that has at least one asymptote and one removable discontinuity (a "hole").

We then have to list the type of feature.

We can start with a function like y = 1/x. This function will have a vertical asymptote at x = 0 and a horizontal asymptote at y = 0.

We can translate it one unit up and one unit to the right and write the equation as:

Then, the asymptotes will be x = 1 and y = 1. We have at least one asymptote for this function.

We can now add a removable discontinuity. This type of discontinuity is one that is present in the original equation but, when factorizing numerator and denominator, it can be cancelled. This happens when both the numerator and denominator have a common root: the rational function can be simplified, but the root is still present in the original expression.

We than can add a removable discontinuity to the expression by multiplying both the numerator and denominator by a common factor, like (x-2). This will add a removable discontinuity at x = 2.

We can do it as:

This will have the same shape as y =x/(x-1) but with a hole at x = 2, as the function can not take a value that makes the denominator become 0, so it is not defined for x = 2.

Finally, we can find the x and y intercepts.

The y-intercepts happens when x = 0, so we can calculate it as:

The y-intercept is y = 0, with the function passing through the point (0,0).

As the x-intercept is the value of x when y = 0, we already know that the x-intercept is x = 0, as the function pass through (0,0).

Then, we can list the features as:

Asymptotes: Vertical asymptote at x = 1 and horizontal asymptote at y = 1.

Removable discontinuity: x = 2.

y-intercept: y = 0.

End behaviour: the function tends to y = 1 when x approaches infinity or minus infinity.

With that information, the function can be graphed.

Given:

To find:

The value

Explanation:

We know that,

So, we write,

Final answer:

Given the functions:

We will find: f(x) • g(x)

So, we will find the product of the functions

We will use the distributive property to get the result of the multiplications

So,

so, the answer will be:

Given the function:

f(x) = 3x - 2

Let's find the inverse of the function f⁻¹(x).

To find the inverse of the function, apply the following steps:

• Step 1.

Rewrite y for f(x)

• Step 2.

Interchange the x and y variables:

• Step 3.

Solve for y.

Add 2 to both sides:

• Step 4.

Divide all terms by 3: