Definition: An event that is made up of two or more outcomes is called

Delta makes 12-volt car batteries. These batteries are known to be normally

blondinia [14]

Answer:

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Step-by-step explanation:

Step(i):-

Given that the sample size n =12 -volt car batteries

Let 'X' be a Random variable in a normal distribution

Given that mean of the normal distribution = 45 months

Given that the Standard deviation of the normal distribution = 8months

Step(ii):-

Let X₁ = 3 years = 12 × 3 = 36 months

$Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125$

Let X₂ = 4 years = 12 × 4 = 48 months

$Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375$

Step(iii):-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = P(-1.125≤Z≤0.375)

= P(Z≤0.375) - P(Z≤-1.125)

= 0.5 +A(0.375) - (0.5-A(1.125)

= 0.5 + 0.1480 - (0.5 -0.3708)

= 0.1480 + 0.3708

= 0.5188

Final answer:-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

5 0

3 years ago

Simplify. 4−8÷2+3 help lol

Musya8 [376]

Answer:

we start with -8 divided by 2 because of PEMDAS

we now have -4

then we do 4-4+3=3

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of s

Vitek1552 [10]

All the answers to the given parts are mentioned below -

<h3>What is the general equation of a Straight line? How it represents a proportional relationship?</h3>

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

y = mx also represents direct proportionality. We can write [m] as -

m = y/x

OR

y₁/x₁ = y₂/x₂

We have a cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one-half gallon of water is needed, and for every 6 scoops of mix, one and one-half gallons of water are needed.

We can write the proportional relationship as -

y = kx

Now, from the given information, we can write -

2 scoops need 0.5 gallon of water

6 scoops need 1.5 gallon of water

So -

k = 2/0.5

k = 2/(1/2)

k = 2 x 2 = 4

Equations that represents the relationship can be written as -

y = 4x + c

Now, 2 scoops need 0.5 gallon of water.

2 = 4 x 1/2 + c

2 = 2 + c

c = 0

So, the equation will be y = 4x.

Graph of y = 4x is attached at the end.

For 10 scoops of water -

10 = 4x

x = 2.5 gallons of water is needed.

Therefore, all the answers to the given parts are mentioned above.

To solve more questions on proportional relationship, visit the link below-

brainly.com/question/12917806

#SPJ1

5 0

1 year ago

What are a lot of common sixth grade math problems

scoray [572]

These are just a few of the things you will learn in 6th grade. You will learn how to write a two- variable equation, how to identify the graph of an equation, graphing two-variable equations. how to interpret a graph and a word problem, and how to write an equation from a graph using a table, two-dimensional figures,Identify and classify polygons, Measure and classify angles,Estimate angle measurements, Classify triangles, Identify trapezoids, Classify quadrilaterals, Graph triangles and quadrilaterals, Find missing angles in triangles, and a lot more subjects. Find missing angles in quadrilaterals
Sums of angles in polygons
Lines, line segments, and rays
Name angles
Complementary and supplementary angles
Transversal of parallel lines
Find lengths and measures of bisected line segments and angles
Parts of a circle
Central angles of circlesSymmetry and transformations
Symmetry
Reflection, rotation, and translation
Translations: graph the image
Reflections: graph the image
Rotations: graph the image
Similar and congruent figures
Find side lengths of similar figuresThree-dimensional figures
Identify polyhedra
Which figure is being described
Nets of three-dimensional figures
Front, side, and top viewGeometric measurement
Perimeter
Area of rectangles and squares
Area of triangles
Area of parallelograms and trapezoids
Area of quadrilaterals
Area of compound figures
Area between two rectangles
Area between two triangles
Rectangles: relationship between perimeter and area
compare area and perimeter of two figures
Circles: calculate area, circumference, radius, and diameter
Circles: word problems
Area between two circles
Volume of cubes and rectangular prisms
Surface area of cubes and rectangular prisms
Volume and surface area of triangular prisms
Volume and surface area of cylinders
Relate volume and surface area
Semicircles: calculate area, perimeter, radius, and diameter
Quarter circles: calculate area, perimeter, and radius
Area of compound figures with triangles, semicircles, and quarter circlesData and graphs
Interpret pictographs
Create pictographs
Interpret line plots
Create line plots
Create and interpret line plots with fractions
Create frequency tables
Interpret bar graphs
Create bar graphs
Interpret double bar graphs

4 0

3 years ago

Find the value of x

fgiga [73]

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