Answer:

**Answer:**

C) d*15=100

**Step-by-step explanation:**

The word problem already gives us the product or the end result “Martin runs **100 meters **in 15 seconds. So the 100 has to be equal to the expression.

=100

“**Per second**” this suggests that we should multiply

the most logical answer is d*15=100 or dx15=100

The area of a trapezoid is given by the formula A=h/2(a+b) .Solve the formula for b.

Help me on this please (10 points)Also, this question relates with the first one so...___x 9=___

Given the exponential equation y = yoxQq describe each of the following below:y isyo isx isQ isq is

A sphere has a diameter of 4(x + 3) centimeters and a surface area of 7847 squarecentimeters. Find the value of x.

Helen is building a rectangular garden in her backyard and she wants to have a fence around it.The perimeter of her garden is 20 yards. She is buying wood fence panels that cost $2 per foot. How many feet of fence panels does she need

Help me on this please (10 points)Also, this question relates with the first one so...___x 9=___

Given the exponential equation y = yoxQq describe each of the following below:y isyo isx isQ isq is

A sphere has a diameter of 4(x + 3) centimeters and a surface area of 7847 squarecentimeters. Find the value of x.

Helen is building a rectangular garden in her backyard and she wants to have a fence around it.The perimeter of her garden is 20 yards. She is buying wood fence panels that cost $2 per foot. How many feet of fence panels does she need

Answer:

m= 1/2

b= (0,6)

Step-by-step explanation:

Slope is rise over run

The y intercept is when x=o or just look at the vertical line

B) r y=-x (x,y) -> (-y,-x)

C) r y=x (x,y) -> (y,x)

D) r y=-x (x,y) -> (y,x)

the rule for the reflection is (B)

Using **continuity concepts,** it is found that the function is **left-continuous at x = 1.**

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

A **function f(x)** is said to be **continuous at x = a** if:

- If only , the function is
**left-continuous.**

- If only , the function is
**right-continuous.**

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

The **piece-wise** definition of the **function ** is:

We have to **check the continuity** at the points in which the definitions change, that is,** x = 0 and x = 1.**

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

At **x = 0:**

- The
**definition**at 0 is **Approaching x = 0 from the left**, we have values less than 0, thus:

**Approaching x = 0 from the right**, we have values greater than 0, thus:

Since the limits are equal, and also equal to the definition at the point, the function is **continuous at x = 0.**

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

At **x = 1:**

- The
**definition**at 1 is

**Approaching x = 1 from the left**, we have values less than 1, thus:

**Approaching x = 1 from the right**, we have values greater than 1, thus:

To the right, the limit is different, thus, the function is only **left continuous at x = 1.**

A similar problem is given at brainly.com/question/21447009

**Answer:**

the function is continuous from the left at x=1 and continuous from the right at x=0

**Step-by-step explanation:**

a function is continuous from the right , when

when x→a⁺ lim f(x)=f(a)

and from the left when

when x→a⁻ lim f(x)=f(a)

then since the functions presented are continuous , we have to look for discontinuities only when the functions change

for x=0

when x→0⁺ lim f(x)=lim e^x = e^0 = 1

when x→0⁻ lim f(x)=lim (x+4) = (0+4) = 4

then since f(0) = e^0=1 , the function is continuous from the right at x=0

for x=1

when x→1⁺ lim f(x)=lim (8-x) = (8-0) = 8

when x→1⁻ lim f(x)=lim e^x = e^1 = e

then since f(1) = e^1=e , the function is continuous from the left at x=1

a. What is the probabilty that a random sample of n = 40 oil changes results in a sample mean time less than 15 minutes?

b. Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the oil-change facility will perform 40 oil changes between 10 A.M. and 12 P.M. Treating this as a random sample, there

would be a 10% chance of the mean oil-change time being at or below what value? This will be the goal established by the manager.

Answer:

(a) Probability that a random sample of n = 45 oil changes results in a sample mean time < 10 minutes i=0.0001.

(b) The mean oil-change time is 15.55 minutes.

Step-by-step explanation:

Let us denote the sample mean time as x

From the Then x = mean time = 16.2 minutes

The given standard deviation = 3.4 minutes

The value of n sample size = 45

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

**Answer:**

2, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16 and anything else after 16

**Step-by-step explanation:**

I can’t see any answer choices so the multiples of 15 are: 15,30,45,60,75,90,105,120,135,150,165,180,195,210,225,240,255,270,285,300,315,330,345,360,375,390,405,420,435,450,465,480,495,510,525,540,555,570,585,600,615,630,645,660,675,690,705,720,735

So I guess anything but those numbers, hope this helps

So I guess anything but those numbers, hope this helps

(a) For each value of X we have:

so the range of Y = {-32, -23, 4, 49}

(b)

(c)

Y cannot equal 0, so