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

distributed with a mean of 45 months and a standard deviation of 8 months.

What percent of Delta car batteries last between three and four years?

Answers

Answer 1

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

[tex]Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125[/tex]

Let X₂ = 4 years  = 12 × 4 = 48 months

[tex]Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375[/tex]

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%


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{(roja, roja), (negra, negra), (blanca, blanca), (roja, negra), (blanca, negra)}

Answers

Hombre, no lo sé, pero estoy feliz de hablar

Jeremy bought a new pair of jeans. The jeans
regularly cost $30, but they are on sale for
10% off. There is a 6% sales tax on his
purchase. How much will Jeremy pay
altogether for the jeans ?

Answers

Answer:

Jeremy would pay $28.62 in total.

Step-by-step explanation:

Find the solution set of the inequality:

-3x + 8 < 15

Answers

Answer:

the answer would be x>-7/3

Evaluate the expression shown below and write your answer as either a mixed number or fraction in simplest form, or a decimal.

Answers

Answer:

What is the current requirement needed for a person to have inbox power in brainly?

Answer:

Evaluate the expression shown below and write your answer as either a mixed number or fraction in simplest form, or a decimal.

2+(-5)+8.25 (-5.5)

_____________________________

Answers

Step-by-step explanation:

hope it is helpful to you

Kevin takes classes at both Westside college and Pinewood college at Westside class fees are $98 per credit hour and Pinewood they are $115 per credit hour. Karen is taking combined total of 18 credit hours at the two schools. Suppose that she's taking W credit hours at Westside. Write an expression for the combined total dollar amount that she paid for the class fees​

Answers

Answer:

y = 98(w) + 115(18 - w)

Step-by-step explanation:

The expression that represents how much Kevin spends for classes at both schools :  (#credits at Westside)($98) + (#credits at pinewood)($115).   If he takes all credits at Westside this is 18(98) + 0, which would be the lowest cost it could be,  if he takes all credits at Pinewood this would be 0 + (18)(115) which would be the maximum Bob could pay for 18 credits.   If y is the total cost of is courses, then  y = 98(w) + 115(18 - w).  Using the distributive property, this can be simplified.

I want to know if I am correct. I forgot how to do this and I am helping out little brother

Answers

No credit is added evening else is a loss

24-u=234 solve for u

Answers

Answer:

u= -210

Step-by-step explanation:

Hope this is helpful(please make me the brainliest!)

Help anyone I’ll mark Brainly

Answers

Answer:

1. scalene

2. isosceles

3. scalene

4. equilateral

5. isosceles

6. scalene

7. scalene

i cant see all of 8

Answer:

1. scalene

2. isosceles

3. scalene

4. equilateral

5. isosceles

6. scalene

7. scalene

i cant see all of 8

Step-by-step explanation:

If x is an acute angle, and tan x=3/4
evaluate
COS x-sin x/COS x+ sin x
please answer fast 10 points and brainliest answer​

Answers

Use the pic and solve the COS x-sin x/COS x+ sin x part

comment if there's something u don't understand

The value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

tanx = 3/4        (x is an acute angle)

[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}-1=\dfrac{4}{3}-1\\\\\rm \dfrac{cosx-sinx}{sinx}=\dfrac{1}{3}\\\\[/tex]  ….(1)

[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}+1=\dfrac{4}{3}+1\\\\\rm \dfrac{cosx+sinx}{sinx}=\dfrac{7}{3}\\\\[/tex]  …(2)  

Divide (1) ÷ (2)

(cosx-sinx)/(cosx+sinx)  = (1/3)/(7/3) = 1/7

Thus, the value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ2

What time is it in iowa when the sun goes down in new york at 5:20 pm est?

Answers

It will be 4:20 pm in Iowa Eastern time to Central Time

Working alone, it takes Kristin 11 hours to harvest a field. Kayla can harvest the same field in 16 hours. Find how long it would take them if they worked together.

Answers

Answer:

(11 hrs + 16 hrs)/2 = 13.5 hrs

13.5 hrs /2 = 6.75 hrs

Find the highest common factor of 126
and 140
Please help

Answers

Answer:

GCF= 14

Step-by-step explanation:

For the values 126 and 140

The highest common factor of 126 and 140 is 14

From the question,

We are to determine the highest common factor of 126 and 140

To do this,

We will list out the factors of the numbers

The factors of 126 are

126 - 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, and 126

The factors of 140 are

140 - 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, and 140.

From above, the common factors are 1,2,7 and 14, and 14 is the highest.

Hence, the highest common factor of 126 and 140 is 14

Learn more here: https://brainly.com/question/22575618

(2/3)^4=

am very confuse guys help!!!

Answers

Answer:

16/81

Step-by-step explanation:

Lets break it down

When you see ^4, you are multiplying the base ( 2/3 ) by itself 4 times

So lets write the equation

[tex]\frac{2}{3} *\frac{2}{3} *\frac{2}{3} *\frac{2}{3} = x\\[/tex]

[tex]\frac{4}{9} *\frac{4}{9} =x[/tex]

[tex]\frac{16}{81} =x\\x= \frac{16}{81}[/tex]

If my answer is wrong pls correct me.

If you like my answer and explanation then please mark me as Brainliest!

-Chetan K

Which similarity statement and justification correctly identifies the triangles'

relationship? *

Help plz

Answers

Answer:

(c) [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA

Step-by-step explanation:

Given

See attachment for triangles

Required

The relationship between both triangles

First, we determine the corresponding sides.

The corresponding sides will be determined based on the length of each side (i.e. bigger sides correspond while smaller sides correspond).

So, we have:

[tex]AC\ to\ EC[/tex]

[tex]BC\ to\ DC[/tex]

Next, is to name the triangle base on the corresponding sides

The names will be: [tex]\triangle ABC[/tex] and [tex]\triangle EDC[/tex]

Lastly, is to check the scale ratio (k).

For both triangles to correspond, the scale ratio must be the same

So:

[tex]k = \frac{EC}{AC} = \frac{DC}{BC}[/tex]

[tex]k = \frac{8}{6} = \frac{12}{9}[/tex]

[tex]k = \frac{4}{3} = \frac{4}{3}[/tex]

[tex]k = \frac{4}{3}[/tex]

Hence, the theorem is: [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA

Find the distance between the points. (-7,8) (7,8)


PLEASE H E L P.

Answers

Answer:

14

Step-by-step explanation:

Hope this Helps!!!!!

Use the slope formula to find the slope of the line through the points (−1,−2) and (9,−10)

Answers

Answer:

-4/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-10-(-2))/(9-(-1))

m=(-10+2)/(9+1)

m=-8/10

simplify

m=-4/5

If x= -4, find the value of x²-5+6.​

Answers

Answer:

42 is your answer if there is -5x

Step-by-step explanation:

when x=-4

x²-5x+6=(-4)²-5×-4+6=16+20+6=42

Which table contains only values that
satisfy the equation y = 6x +2?
FOR BRAINLIST!!

Answers

Answer:

table C

Step-by-step explanation:

We have to try to substitute the x with its value and y with its value. If the equality is satisfied, the points are points of the line

Table A

0 = 0 + 2

0 = 2 false, table A can’t be the answer

Table B

2 = 2 true

4 = 6 + 2

4 = 8 false, table B can’t be the answer

Table C

2 = 2 (true)

8 = 6+2 ; 8=8 (true)

14 = 12 + 2 ; 14= 14 (true)

20 = 18 + 2 ; 20=20 (true)

state the place value of:. (i) 8 in 287​

Answers

Answer:

80

Step-by-step explanation:

because 8 is in tens place

so it´s value is 8*10=80

If the side length of a square is 4 inches, its area is __ square inches and its priemeter is __ inches.

Answers

Answer:

16 for both

Step-by-step explanation:

Find the area of the composite figure​

Answers

As it is a composite shape we would split the shape up so we get a triangle and a square

Then we would work out the area of the square and the triangle

Area of a square = length x width
Area of a triangle = 1/2 base x height

Area of a square = 10 x 15 = 150
Area of a triangle = 1/2 15 x 5 = 37.5

(5 is the height of the triangle as you do 15-10 to work out the height of just the triangle

To get the total area we just combine both areas using addition

37.5+150=187.5

Answer:187.5ft squared

Hope this helped

Given Find the area of figured one area of figure two area of figured three area of figure four area of the whole figure

Answers

Answer:

culeous

Step-by-step explanation:

because it gives particular figured area

\

What the person above me said. :)

Out of 24 cookies,
3
4
are chocolate chip. How many cookies are chocolate chip?

Answers

Answer:

18 cookies

Step-by-step explanation:

3/4 = 75%

75% = 0.75

Multiply this by 24 = 18 cookies

I was so confident in this question but I still got it wrong:( help!!

Answers

Answer:

I believe it's a. I've seen you posting a lot of questions I hope you do good on your resubmission.

I think it might be D

What expression is undefined

Answers

Answer:

Step-by-step explanation:How do we know when a numerical expression is undefined? It is when the denominator equals zero. When we have a denominator that equals zero, we end up with division by zero. We can't divide by zero in math, so we end up with an expression that we can't solve.

To find:

Which of the four expressions are undefined, or not possible to calculate.

Steps:

Lets go through each option one by one

Option A:

[tex]-\frac{0}{2}[/tex] , in this expression a negative zero is divided by 2, we know that zero divided by any number is equal to 0.

[tex]-\frac{0}{2}= -0 = 0[/tex]

Since option A is defined. Now lets go to option B

Option B:

[tex]\frac{3}{6-6}= \frac{3}{0}[/tex]

this expression shows 3 divided by a zero, but dividing any non-zero number by 0 is not possible.

Therefore option B is undefined. We found out the answer but lets continue for learning purposes.

Option C:

0 ÷ 11 = [tex]\frac{0}{11}[/tex]

This expression is similar to the first expression, where zero is divided by any number.

[tex]\frac{0}{11} = 0[/tex]

Therefore option C is defined. Now let continue to option D

Option D:

[tex]\frac{-4+0}{8}= \frac{-4}{8}= \frac{-1}{2}[/tex]

In this expression, the final answer after simplifying is -1/2 which is a number and is possible to calculate

Therefore option D is defined.

Happy to help :)

If u need any more help feel free to ask

Then Find The Value Of X ​

Answers

Answer:

15

Step-by-step explanation:

The given is a right triangle divided into two parts by a sector

so 3x + 45 = 90 subtract 45 from both sides

3x = 45 divide both sides by 3

x = 15

Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. A cereal company claims that the mean weight of the cereal in its packets is at least 14 oz. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.

Answers

Answer:

There is not sufficient evidence to warrant the rejection of the claim that the mean weight of cereal is atleast 14 oz

Step-by-step explanation:

The hypothesis for the test above will be stated as follows :

The claim to be tested is the alternative hypothesis, which is the negation of the Null hypothesis

H0 : μ < 14

H1 : μ ≥ 14

If the Null is rejected, then it means that the company's claim that the mean weight of its cereal being atleast 14 is valid ;

Then it means there is significant evidence to support the stance that the mean weight of cereal in the company's packet is atleast 14 oz.

A culture of bacteria has an initial population of 35000 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t ​ =P 0 ​ ⋅2 d t ​ , where P_tP t ​ is the population after t hours, P_0P 0 ​ is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 3 hours, to the nearest whole number?

Answers

35000*10^2/3
=116,666.66

Answer:43090

Step-by-step explanation: Pt=35000*2 3/10

Pt= 43090.0545

1
If ZA and ZB are complementary angles and mA = 60°, then m B =?

Answers

Answer:

30 degrees

Step-by-step explanation:

Because the angles are complementary, they MUST equal to 90 degrees

Because measure of Angle A = 60, then the measure of Angle B = 30, because 60 + 30 = 90 degrees

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