A factory makes car batteries. The probability that a battery is 1/14. If 400 batteries are tested how many are defective

Answers

Answer 1

Answer:

1/14 of 400 batteries = 56 batteries

Step-by-step explanation:

[tex]400 \times 0.14[/tex]

Answer 2

Answer:

Actual: 28.57

Rounded: 29

Step-by-step explanation:

400/14 = 28.57

Round to nearest whole number: 29

Correct on A P E X


Related Questions

Hi, What is the answer?

Answers

Answer:

68x + 80

Step-by-step explanation:

Follow PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, distribute 10 to all terms within the parenthesis:

10(6x + 8)

10 * 6x = 60x

10 * 8 = 80

60x + 80

Next, Add like terms. Like terms are terms with the same amount of the same variable:

8x + 60x + 80

(8x + 60x) + 80

68x + 80

68x + 80 is your answer.

~

Answer:

68x + 80

Step-by-step explanation:

To solve the following problem,

8x + 10 ( 6x + 8 )

First, distribute the (10), multiply every term int he parenthesis by the term outside of it,

8x + 10(6x + 8)

8x + (10)(6x) + (10)(8)

Simplify,

8x + 60x + 80

68x + 80

54 can be divided with no remainder by which of the following numbers 2 3 4 5 6 9 10​
LINKS WILL BE REPORTED NOT HAVING IT

Answers

Answer:

6 and 9

Step-by-step explanation:

6 x 9 = 54

A circle has a circumference of 2 x cm. Which statement about the circumference and area is true?
O A comparison of the area and circumference is not possible since the area cannot be determined.
The numerical values of the circumference and area of the circle are equal.
O The numerical value of the circumference is greater than the numerical value of the area.
O The numerical value of the circumference is less than the numerical value of the area.
Vx
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

O The numerical value of the circumference is less than the numerical value of the area.

Step-by-step explanation:

as pi>2, therefore, only 'the numerical value of the circumference is greater than the numerical value of the area. The numerical value of the circumference is less than the numerical value of the area' is correct.

the volume of the square pyramid is ___ cubic feet.

Answers

28ft

dkdkdk

dkdkdkdkdkdkd

ddjdjddddddddddddddddddddddddddddddddddddddddd

If Charlie has 50 apples but devin ate 25 how many does Charlie have left?

Answers

Answer:

25

Step-by-step explanation:

50-25=25

What is the area of this triangle?

Answers

Answer:

The answer would be 14 units.  

Step-by-step explanation:

Count each of the units to find the height and base.

Height - 4 units

Base - 7 units.

Then use the formula A = 1/2*h*b

A = 1/2*7*4

A = 1/2*28

A = 14 units.

The area of the given triangle is 14 units².

Use the concept of the triangle defined as:

A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.

And area of triangle = (1/2)x base x height

In the given triangle:

Width  = 5 units + 2 units

Width  = 7 units

Height = 2 units + 2 units

Height = 4 units

Put the values into the above formula of area,

Area of triangle = (1/2)x 7 x 4

Area of triangle = 14 unit²

Hence,

The area of the given triangle is 14 units².

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ6

I don't know this questions so pls help

Answers

Answer:

The distance between the two points is 6.3 units

Step-by-step explanation:

Here, we want to find the distance between the two points

We have the equation to find this as follows;

D = √((x2-x1)^2 + (y2-y1)^2

where (x1,y1) = (-4,2) and (x2,y2) = ((2,4)

so we have the length calculated as follows;

D = √(2-(-4))^2 + (4-2)^2

D = √6^2 + 2^2

D = √36 + 4

D = √40

D = 6.3 units

Find the surface area of the triangular prism.
A) 608 ft
B) 704 ft
C) 560 ft
D) 590 ft

Answers

Answer:

C

Step-by-step explanation:

10*8*12 = 960

16*10 = 160

960+160= 1120

1120 ÷ 2 = 560

Answer:

I'll setup the formula and you can do the calculations.

Step-by-step explanation:

you need to add up the areas of 2 rectangles (10x16), 1 rectangle on the bottom (12x16) and 2 triangles ( height = 8 and base = 12)

area of rectangle = wide x length

area of triangle = 1/2 base x height

can you compute the answer? if you need more help, send a comment

someone please please help me with this ! I would really appreciate it

Answers

Answer:

Both volumes are the same

Step-by-step explanation:

Volume of cylinder = [tex]\pi[/tex][tex]r^{2} h[/tex]

r = radius

h = height

Since area of the circle is given on top,

Area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]

We know the area is 12

12 = [tex]\pi[/tex][tex]r^{2}[/tex] (we need to find r)

r = [tex]\sqrt{\frac{12}{\pi} }[/tex]

r = 1.954

Now we can find the cylinder's volume:

Volume of cylinder = [tex]\pi[/tex][tex](1.954)^{2}[/tex] (6)

Volume of cylinder = 72

To find the volume of the cuboid, we use

Volume of cuboid = lwh

l = length

w = width

h = height

Volume of cuboid = 6 x 4 x 3

Volume of cuboid =  72

This proves that both the volumes are the same.

True or false

A chance event with probability 1 is certain to happen

Answers

Answer:

True, since 1 is 1/1, which is 100%

Hope that helps! :)

Step-by-step explanation:

A number multiplied by 7 is less than 21. Which of the following expressions correctly identifies this sentence?

Answers

Answer:

Step-by-step explanation:

4 divided by 1/6 with explanation !

Answers

Multiply 4x6 all u do

answer question for 10 points and brainilest

Answers

Answer:

343

Step-by-step explanation:

[tex]\frac{(7^4)^2}{7^5}[/tex]

[tex]=\frac{7^4^*^2}{7^5}[/tex]

[tex]=\frac{7^8}{7^5}[/tex]

[tex]=7^8^-^5[/tex]

[tex]=7^3[/tex]

[tex]=7*7*7[/tex]

[tex]=343[/tex]

Help me plz I don’t get it

Answers

Answer:

3.33

Step-by-step explanation:

each cube represents 1, so each flat represents 0.1 and each unit represents 0.01. so if there are 3 of each, it would be 3+0.3+0.03 which equals 3.33

Answer:

3.33

Step-by-step explanation:

Each cube in this picture is equal to 1 unit as the diagram in the upper right corner shows.

We have 3 cubes so -> 1 + 1 + 1 = 3

We also have 3 squares that are 1/10th of a cube.

1/10 * 1 = 0.1  so each square is equal to 0.1 unit.

We have 3 squares so it would be 0.1 + 0.1 + 0.1 = 0.3

We have 3 tiny squares that are 1/100th of a cube.

1/100 * 1 = 0.01 so each tiny square is equal to 0.01 unit.

We have 3 tiny squares so it would be 0.01 + 0.01 + 0.01 = 0.03

Add everything up: 3 + 0.3 + 0.03 = 3.33

I need help ppl this is due tomorrow thank yooou

Answers

Answer:

8.62

Step-by-step explanation:

Use the Pythagorean theorem.

b= [tex]\sqrt{c^{2}-a^{2} }[/tex]

b=[tex]\sqrt{10.5^{2}-6^{2} }[/tex]

b= [tex]\sqrt{110.25-36[/tex]

b=[tex]\sqrt{74.25}[/tex]

b= 8.62

To solve you have to use Pythagorean Theorem:
a^2+b^2 = c^2
You’re looking for b so the formula would be:
b^2 = c^2-a^2
10.5^2-6^2
110.25-36
74.25
The square root for 74.25 is 8.61684396...
But it tells you to the nearest tenth so the answer would be 8.6

A space probe flies by a planet in an hyperbolic orbit. It reaches the vertex of its orbit at (5,0) and then travels along a 2 path that gets closer and closer to the line y=-x. Write an equation that describes the path of the space probe if the 5 center of its hyperbolic orbit is at (0,0).​

Answers

Answer:

[tex]\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]

Step-by-step explanation:

Since the required hyperbola has its vertex at (5,0), its transverse axis is on the x-axis and center at (0,0).

So, we use the equation in standard form

[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1[/tex]

Also, since the path of the space probe gets closer to y = -x, this is the asymptote to the hyperbola.

Our standard asymptote equation is y = ±bx/a taking the negative sign and comparing with y = -x,

-bx/a = -x ⇒ b/a = 1 ⇒ a = b

Also, the coordinate of the vertex (c, 0) = (5, 0) and c² = a² + b²

substituting c = 5 and a = b into the equation, we have

c² = a² + b²

5² = a² + a²

25 = 2a²

a² = 25/2

a = √(25/2)

a = ±5/√2

rationalizing, we have

a = ±5/√2 × √2/√2

a = ±5√2/2

Since a = b, b = ±5√2/2

Inserting a and b into the equation for the hyperbola, we have

[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1\\\frac{x^{2} }{(\frac{5\sqrt{2} }{2} )^{2} } + \frac{y^{2} }{\frac{5\sqrt{2} }{2} ^{2} } = 1\\\frac{x^{2} }{\frac{25 X 2 }{4} } + \frac{y^{2} }{\frac{25X2 }{4} } = 1\\\frac{x^{2} }{\frac{25}{2} } + \frac{y^{2} }{\frac{25}{2} } = 1\\\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]

So, the required equation is

[tex]\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]

plz answer this ill give 10pts

Answers

whats the question....?

it’s geometry, help plz

Answers

Answer:

i think its 18(DONT TRUST ME)

Step-by-step explanatioN:

6 x 3                

A dozen cookies is on sale for $1.92. How much is one cookie?
Select the answer that shows what you need to do mathematically to answer this question.
Reminder: There are 12 cookies in a dozen.

Answers

Divide total price by number of cookies:

1.92/12 = 0.16

Each cookie cost $0.16

Answer:

Step-by-step explanation:

16 cents each cookie :3

*PLEASE HELP ASAP ITS A TEST* How many solutions does the system of linear equations represented in the graph below have?

Answers

Answer:

0

Step-by-step explanation:

The 2 lines never intersect so there are 0 solutions

What is the approximate surface area of a cylinder that's base has a radius of 2, and it's lateral rectangle has a length of 6.28, and a width of 4?

Answers

Answer:

Surface area of cylinder = 50.26 unit² (Approx.)

Step-by-step explanation:

Given:

Radius of base r = 2 units

Width of lateral rectangle = 4 units

Length of lateral rectangle = 6.28 units

Find:

Surface area of cylinder

Computation:

Surface area of cylinder = 2[Area of base] + Area of lateral rectangle

Surface area of cylinder = 2[πr²] + [l][b]

Surface area of cylinder = 2[(22/7)(2)²] + [6.28][4]

Surface area of cylinder = 2[(22/7)(4)] + 25.12

Surface area of cylinder = 25.14 + 25.12

Surface area of cylinder = 50.26

Surface area of cylinder = 50.26 unit² (Approx.)

Sue wants to know whether wearing sunglasses improves driving performance. If she uses an independent groups design, she would manipulate the variable by randomly requiring half the drivers to drive with sunglasses and the other half to drive without sunglasses. having all drivers first drive without sunglasses and then with sunglasses. having half the drivers first drive without sunglasses and then with sunglasses and having the other half first drive with sunglasses and then without sunglasses. requiring all drivers to first drive with sunglasses and then without sunglasses.

Answers

Answer:

randomly requiring half the drivers to drive with sunglasses and the other half to drive without sunglasses.

Step-by-step explanation:

When employing an independent group design in a research or experimental study, the different groups in the study are assigned entirely different subjects such that, subjects in the treatment group are different from those in the control group. Therfore, adopting an independent group design in the scenario described above means diving the subjects into two at random with one half driving with sunglasses and the other half having to drive without it.

Simplify:............​

Answers

[tex] - \frac{4 {m}^{2} }{1 + {m}^{4} + {m}^{8} } [/tex]

is your answer

Answer:

jshdgdhdhdhdhdhdhd English project work

The average January surface water temperatures (°C) of Lake Michigan from 2000 to 2009 were 5.07, 3.57, 5.32, 3.19, 3.49, 4.25, 4.76, 5.19, 3.94, and 4.34.


The mean value of these temperatures is 4.312.


What is the variance of this data set?
Will give Brainliest

Answers

Answer:

0.5192

Step-by-step explanation:

Answer:

UwU

Step-by-step explanation:

Mario's grape vine grows 7.5 inches in 3 weeks. At this rate, how much will the grape vine grow in 15
weeks?

Answers

Answer:

It will grow 37.5 inches

Step-by-step explanation:

It grew 7.5 in 3 weeks. Divide 7.5 by 3 and you'll get 2.5. So that means every week it grows 2.5 inches. So multiply 2.5 x 15 and you'll get 37.5 inches

It grew 7.5 in 3 weeks. Divide 7.5 by 3 and you'll get 2.5. So that means every week it grows 2.5 inches. So multiply 2.5 x 15 and you'll get 37.5 inches

A rectangle has a height of 5 inches and a area of 35 squared inches what is the length of the base of the rectangle? Please help I dont get it.

Answers

Answer:

The length of the base of the rectangle is 7 inches

Step-by-step explanation:

The Area of the rectangle can be found out by multiplying length with the breadth

Area= length *  breadth

35 squared inches= x *5

5x= 35

x= 35/5

x= 7inches

Hence the length of the base of the rectangle is 7 inches.

If the area and one side are known then we can simply find the 2nd side by simply substituting x in its place and solving the equation.

PLEASEE HELPPP ME I needdd helppp

Answers

Answer:

5

Step-by-step explanation:

divide the figure as a triangle and a rectangle first.

take away the rectangle part and if you just look at the triangle part,

you can get x using Pythagorean theorem.

Pythagorean theorem is a^2 + b^2 = c^2,

so 3^2 + 4^2 = x^2.

If you calculate it, x should be root 25, which equals 5.

So, the answer is 5.

You submitted the first number take always all of theme add 30 and your Answer will be 132

1) In the figure below, m_2 = 60°. Find the measure of each angle. Write which postulate(s) or
theorem(s) you used.
a ) angle 1
b) angle 2
c) angle 8 ​

Answers

Answer:

Step-by-step explanation:

From the picture attached,

Two lines are the parallel lines and a third line (transversal line) is intersecting these parallel lines.

m∠2 = 60°

a). m∠1 + m∠2 = 180°

m∠1 + 60° = 180°

m∠1 = 180° - 60°

m∠1 = 120°

b). m∠2 = 60° [Given]

c). m∠2 = m∠8 = 60° [Alternate exterior angles are equal]

Melissa has started training for a race. The first time she trains, she bikes 5 miles. Each subsequent time she trains, she bikes 0.5 mile farther than she did the previous time.

A. Use summation notation to write an arithmetic series to represent the total distance Melissa has biked after she has trained n times.

B. Use the formula for a partial sum of the series you wrote in part a, above, to answer this question: What is the least number of times Melissa must bike for her total distance biked during training to exceed 60 miles? (3 points)

Answers

9514 1404 393

Answer:

  A. d = ∑[k=1,n] (4.5+0.5k)

  B. 9

Step-by-step explanation:

A) The series has first term 5 and common difference 0.5. The general term is given by ...

  an = a1 +d(n -1)

  an = 5 + 0.5(n -1) . . . . substitute numbers for this series

  an = 4.5 +0.5n . . . . . . simplify

The sum is the sum of these terms:

  [tex]\displaystyle \boxed{d_n=\sum_{k=1}^n(4.5+0.5k)}[/tex]

__

B) The sum of terms of an arithmetic series is the average of the first and last, multiplied by the number of terms. We want to solve for n to make the sum greater than 60.

  [tex]\displaystyle d_n=\frac{n}{2}(5 +4.5 +0.5n)\\\\\dfrac{n}{2}(9.5+0.5n)>60\\\\n(19+n)>240\qquad\text{multiply by 4}\\\\n^2+19n+9.5^2>240+9.5^2\qquad\text{complete the square}\\\\n+9.5>\sqrt{330.25}\qquad\text{square root}\\\\n>18.17-9.5=8.67\qquad\text{positive root, subtract 9.5}[/tex]

Melissa's total distance will first exceed 60 miles the 9th time she trains.

Answer:

 A. d = ∑[k=1,n] (4.5+0.5k)

 B. 9

Step-by-step explanation:

A) The series has first term 5 and common difference 0.5. The general term is given by ...

 an = a1 +d(n -1)

 an = 5 + 0.5(n -1) . . . . substitute numbers for this series

 an = 4.5 +0.5n . . . . . . simplify

Find the missing length indicated in the figure.

Answers

Answer:

45

Step-by-step explanation:

Since the lines of hypotenuse are parallel,the triangles are similar

20/8 = x/18

cross multiplication

8x = 20x18

8x=360

x=45      

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