A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.5 years, and standarddeviation of 0.6 years.The 10% of items with the shortest lifespan will last less than how many years?[1])])1)Give your answer to one decimal place.

we know that

The slope is undefined, when we have a vertical line

therefore

The equation of the given line is

Where: The slope is -1/3

Perpendicular lines have additive reciprocal slopes which means if the slope of one of them is m, then the slope of the other is -1/m

Then the slope of the perpendicular line to the given line is 3

So, we have to look for the graph of positive slope

The graphs of A and D have positive slopes because the directions of the lines are increasing from left to right

Then we have to find the slope of each line to find the correct choice

Since the slope of the line is 3, then the y part increases 3 units for 1 part increases of x

We can see that in graph A

The answer is A

Answer:

5400 feet

Explanation:

The distance the ball travels each time it was hit = 361.87 feet

First, this distance is rounded to the nearest ten feet.

Multiply 360 by 15 hits:

The total amount of distance the ball will travel after 15 hits is 5400 feet.

The Law of Cosines is:

Where "a", "b" and "c" are sides of the triangle and "C" is the angle opposite side "c".

In this case you know that:

Then, you can substitute values as following:

Finally, evaluating, you get that the answer is:

Check the picture below.

so let's get "h" and thus we can get the area of the trapezoid.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{17^2 - 8^2}=h\implies \sqrt{225}=h\implies 15=h \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ h=15\\ a=12\\ b=20 \end{cases}\implies A=\cfrac{15(12+20)}{2}\implies A=240~m^2[/tex]

well, for that, that'd be 2 can plus some more for the remaining 40 m², so I'd think 3 cans will do it,

[tex]\pounds 19.75\cdot \stackrel{cans}{3}\implies \text{\LARGE \pounds 59.25}[/tex]

to rotate 90 degrees counterclockwise we must transform the points like this

and then invert the sign of the y-coordinate or the second coordinate of each point, so the total transformation is

now, transform each point

m∠D = 28º , m∠C= 109º

1) Given that these triangles are congruent, we can state that the angles of both are equal, and their sides as well.

2) Let's check on the picture:

Since the triangles are congruent, we can state that m∠D = m∠A, and m∠C = m∠F

So m∠D = 28º Since 62 and 28 are complementary angles

And

m∠C = 109º Since m∠EFM and ∠EFD are supplementary

The quadratic function is given by the following expression:

The direction at which the graph opens is determined by the signal of the number multiplying x². If the number is positive then the graph opens upwards, if it is negative it opens downward. In this case it is negative so it opens donward.

The vertex of a quadratic expression can be found by the following expression:

Where a is the number multiplying "x²", while b is the number multiplying "x". Applying the data from the problem we have:

To find the value of "y" for the vertex we need to apply the coordinate for x on the expression. We have:

The coordinates of the vertex are (-1,4).

To sketch a graph we need to find the x-intercept and y-intercept of the function. These are given when f(x) = 0 and x=0 respectively. Let's find these points.

The x intercept happens in two points -3 and 1, while the y intercept happens in the point 3. With this and the vertex we can sketch the function.

Midpoint : (6,1)

Point A : (4,8)

Point B (xb,by)

Midpoint (xm, my)=( x1+x2) /2 , ( y1+y2)/2

So:

xm= 6 = (4+xb) /2

6 = (4+xb) /2

Solve for xb

6 x 2 = 4+ xb

12 = 4+xb

12-4 = xb

8 = xb

For Yb:

my= 1 = (8+yb) /2

1 = (8+yb) /2

Solve for yb

1(2) = 8+yb

2 = 8+ yb

2-8 = yb

-6 = yb

Coordinate of B = (xb,yb) = (8,-6)

Answer:

x=83

Step-by-step explanation:

10x-76=754

Move 76 to the other side and it becomes positive

10x=754+76

Add 754 and 76

10x=830

divide both sides by 10

10x/10=830/10

x=83

1900 tiles are needed to cover the worktop.

From the question, we have

The surface area of the worktop is 3.04m squared.

The worktop is to be covered with square tiles each measuring 4cm by 4cm.

Number of tiles = (3.04*10000)/(4*4)

=1900

Multiplication:

To determine the sum of two or more numbers, mathematicians multiply the numbers. It is a basic mathematical procedure that is widely used in daily life. Multiplication is used when we need to mix groups of like sizes. Multiplication is a representation of the underlying idea of adding the same number repeatedly. The outcome of multiplying two or more numbers is referred to as the product of those numbers, and the factors are the quantities that are multiplied. Multiplying the numbers makes it simpler to add the same number repeatedly.

Complete question:

The worktop is to be covered with square tiles, each measuring 4 cm by 4 cm. How many tiles are needed to cover the worktop?The surface area of the worktop is 3.04m squared.

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The first step is to find how many cups of flour she has left to bake the cookies after baking the cake. To do it, substract the amount of flour she needs for the cake to the total amount of flour she decided to use.

She has 10.5 cups of flour to bake the cookies. To find how many tray of cookies, solve the following equation for x:

She can make 21/5 trays of cookies. Written as a mixed number it is 4 1/5, it means she can make 4 1/5 or less trays of cookies.

Answer: Graph the value of b first on the Y - axis

The slope - intercept form of equation is

y = mx + b

where m = slope , and b = intercept

You graph the value of b on the Y - axis

To solve the equation for p, we can first apply the cross product method, that is, we multiply the numerator and denominator that each line of the "X" connects.

Then, we have:

Now, we divide by 11 from both sides of the equation:

Therefore, the value of p that satisfies the given equation is 8/11 or 0.72.

Since there are 25 cards in the deck

Since there are 4 jacks on it 2 red and 2 black

Since the probability of an event = outcomes of events/total outcomes

Then for the first card

There are 2 red jacks for a total of 52 cards

For the second card with NO replacement

Since there are 26 red cards in the deck

Since we took out one of them for the first card, then

There are 25 red cards

Since the total is less by 1 because of the first card, then

There are 51 cards

Since and in probability means multiply, then

The answer is the 3rd choice 25/1326

We have the next linear equation y=5x+1​

For the first row,

y=11

we substitute the value in the equation

11=5x+1

we clear x in order to know the value of x

5x=11-1

x=10/5

x=2

For the second row

x=4

we substitute the value in the equation

y=5(4)+1

y=20+1

y=21

For the third row

y=31

we substitute the value in the equation

31=5x+1

5x=31-1

5x=30

x=6

For the fourth row

x=8

we substitute the value in the equation

y=5(8)+1

y=40+1

y=41

The table of the equation

x y

2 11

4 21

6 31

8 41

Hello! I'll draw the solution of this system of equations:

Now, let's go back to the second equation and replace where's y by 8:

So, the solution will be: (-12, 8) or x= -12 and y= 8.

Answer: The problem can be visualized with the help of the following diagram:

Therefore the building height can be determined by using the pythagorean theorem, the steps are as follows:

Therefore the ladder reaches 9.9ft up the wall.

The schematic diagram below represents the path followed by the glider,

The point A represents the location of the airport.

Observe that the path of the glider forms a right angled triangle ABC.

So the hypotenuse AC can be calculated by using Pythagoras Theorem as,

Thus, the distance of the glider's last leg back to the airport is 17 miles.

So the second option is the correct choice.

Given:

y = 5x - 10

y = x + 6

To find:

We need to find the value of x and y from the above equations.

The least expensive house in the 100,000 range, given the stem and lead plot on house sale prices, is $120, 000.

The stem and leaf plot on the house sale prices is given such that the stem is in hundreds of thousands and the leaf is in ten thousands.

This means that if you have a stem of 0 and a leaf of 2, the house price is:

= 0 + 20,000

= $20,000

A stem of 3 and a leaf of 4 means the house price is:

= 300,000 + 40,000

= $340,000

The cheapest house in the 100,000 range is the leaf value of 2 which means the least expensive house is:
= 100,000 + 20,000

= $120,000

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Explanation

Step 1

the area of a circle is given by:

so, the area of teh walkway will be the difference of areas

Step 2

expand the polynomius:

therefore, the answer is

I hope this helps you

Given:

6(y + 4)

Let's find the equivalent expression.

To find the equivalent expression, apply distributive property.

Distribute 6 to the numbers in the parentheses.

We have:

6(y + 4)

= 6(y) + 6(4)

= 6y + 24

Therefore, the equivalent expression is: ^

We have that for seven and a half hours, you get 72$, then we have the following rule of three:

then we have that:

therefore, for each hour, you get $9.6

So, for 40 hours we have:

finally, we have that for 40 hours you get $384

Length of pendant including silver border is = 23/24 inch

The width of the pendant including the silver border is = 5/6 inch

When adding two fractions with the same denominator (lower number), just add the numerator (upper number) and leave the denominator unchanged if the fractions are like. To add fractions with different denominators, you must rewrite the fractions so that they have a common denominator before computing the sum.

For the given case,

The length of the pendant including the silver border is

(5/8)+ (1/3) = (15+8)/24

= 23/24 inch

The width of the pendant including the silver border is

(1/2) + (1/3) = (3 + 2)/6

= 5/6 inch

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we have that

the algebraic expression that represents this situation is

15-(9+2.65+1.35+2(1.74))

therefore

George needs to put a parenthesis before the 9

The company has different staff with different salaries scale

No of employees Salary

14 $21,000

11 $23,800

18 $26,300

4 $32,000

5 $39,500

1 $145,700

To find mean

Mean = summation of salary x no of employees / Total number of employees

14 x 21000 = 294, 000

11 x 23,800 = 261,800

18 x 26,300 = 473,400

4 x 32,000 = 128,000

5 x 39,500 = 197,500

1 x 145,700= 145,700

Frequency = 14 + 11 + 18 + 4 + 5 + 1

Frequency = 53

Mean = 28, 309.43

Mode is the highest number of employees salaries that appear most

From the table, The highest number is 18

18 number of the employees received 26, 300

The mode is $26,300

To calculate the median

Firstly, get the total number of employees in the company

The total number = 14 + 18 + 11 + 4 + 5 + 1

Total number of employees = 53

Median = total number + 1 / 2

Median = 53 + 1 /2

Median = 54/2

Median = 27th position

This implies fall between the 27th position of the employee

The median is $26, 300

Answer:

  fails the vertical line test: not a function

Step-by-step explanation:

You want to know how to tell if a relation is a function or not.

A relation is a map between values of the independent variable (input, x) and values of the dependent variable (output, y). Such a map can be represented many ways, including a table, graph, set of ordered pairs, dual number lines, or even a diagram showing inputs and outputs. The attachment shows such a diagram.

A relation does not need to be between numbers. Tokens of any kind can be used for input and output identifiers.

A function is a relation in which each input corresponds (maps) to exactly one output.

The relation shown on the left of the attachment is not a function because the first (top) input item (A) maps to more than one output item (B).

When a relation is expressed as ordered pairs (x, y) or a table, it will be a function if and only if no x-value is repeated.

When a relation is expressed as a graph, it will be a function if and only if no vertical line intersects more than one point on the graph. (This is the "vertical line test.")

The decimal forms of rational numbers can be finite, i.e. have a non infinite number of digits. In case they have infinite digits then these are periodic. This means that there's a patron of digits that is repeated infinitely.

Irrational numbers on the other hand can only have infinite digits on their decimal form and they are not periodic.

The rule for a dilation by a factor of k using the origin as the center of dilation, is:

In the options A and B, additions and substractions are involved. Then, they cannot be the rule of a dilation about the origin.

In the options C and D, we can see that both are dilations about the origin. The factor used in the option C is 5/4, while the factor used in the option D is 0.9.

Nevertheless, notice that 5/4 is greater than 1 and 0.9 is smaller than 1.

Then, the dilation from option C would produce a bigger polygon, while the dilation from option D will produce a smaller polygon.

Since the polygon must be a smaller one, then the rule that could represent this dilation is:

Which corresponds to option D.