1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
exis [7]
3 years ago
7

The mean life of a certain brand of auto batteries is 44 months with a standard deviation of 3 months. Assume that the lives of

all auto batteries of this brand have a bell-shaped distribution. Using the empirical rule, find the percentage of auto batteries of this brand that have a life of 35 to 53 months. Round your answer to one decimal place.
Mathematics
1 answer:
alisha [4.7K]3 years ago
6 0

Answer:

99.7%

Step-by-step explanation:

Using the z score formula

z-score is z = (x-μ)/σ

where:

x = raw score

μ = population mean

σ = population standard deviation.

a) for x = raw score = 35

μ = population mean = 44

σ = population standard deviation =3

z = (35 - 44)/3

z = -9/3

z = -3

b) for x = raw score = 53

μ = population mean = 44

σ = population standard deviation =3

z = (53 - 44)/3

z = 9/3

z = 3

We would use the standard normal distribution table to find their probabilities

P(Z<=-3)=0.0013499

P(Z<=+3)=0.99865

So P(-3<=Z<=3)=0.99865 - 0.0013499 = 0.9973

Converting to percentage = 0.9973 × 100 = 99.73%

Therefore, the percentage of auto batteries of this brand that have a life of 35 to 53 months to one decimal place is 99.7%

You might be interested in
1. Which number does NOT represent a whole number?<br> A 25<br> B 13<br> С<br> 150<br> 3<br> D 3.5
raketka [301]
D doesn’t represent a whole #
5 0
3 years ago
Read 2 more answers
Right now the number 33 and 89 to estimate their sum
ozzi

<span> <span><span>Addition, you can have 89 + 33 = 122 </span>
<span>Commutative Property by moving: 33 + 89 = 122
<span>Associative Property by grouping: (3 + 30) + (80 + 9 ) = 122 </span>
<span>Distributive Property by allotting: 10 (8.9) + 33 = 113   </span>


</span></span> Other examples include:
Addition, you can have 33 +  = 113 </span>
<span>Commutative Property by moving: 107 + 6 = 113 </span>
<span>Associative Property by grouping: (3 + 3) + (100 + 7 ) = 113 </span>
<span>Distributive Property by allotting: 2 (3) + 107 = 113   </span>

<span>Multiplication, you can have 6 x 107 = 642 </span>
<span>Commutative Property by moving: 107 x 6 = 642 </span>
<span>Associative Property by grouping: (3 + 3) x (100 + 7 ) = 642 </span>
<span>Distributive Property by allotting: 2(3) x 107 = 642<span>
</span></span>

4 0
3 years ago
Linsay was going to visit her grandmother shop at the mall and then return home the route she took was in the shape of a triangl
frez [133]

Answer:

an equilateral triangle

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

the perimeter of a triangle = sum of the side lengths

An equilateral triangle is a triangle with three equal sides. the distance travelled her all equal to 10 miles.

8 0
2 years ago
Solve Highschool Pre cal
Bezzdna [24]

Option C:

\ln 64 y^{2}

Solution:

Given expression: 2 ln 8 + 2 ln y

Applying log rule a \log b=\log b^{a}  in the above expression.  

⇒ 2 \ln 8+2 \ln y=\ln 8^{2}+\ln y^{2}

Applying log rule \log a+\log b=\log (a b) in the above expression.

⇒ \ln 8^{2}+\ln y^{2}=\ln \left(8^{2} y^{2}\right)

We know that 8^{2}=64

⇒ \ln \left(8^{2} y^{2}\right)=\ln 64 y^{2}

Hence, the expression in single natural logarithm is \ln 64 y^{2}.

6 0
3 years ago
If Ryan pays his car insurance for the year in full, he will get a credit of $28. If he chooses to pay a monthly premium, he wil
Deffense [45]
The one year-plan would have a credit, so it would have a positive sign. In the monthly plan, there is a high risk of being late in paying the bills. That's why a fine of $10 is given for every month that you are late. If you are not time conscious and you end up being late every month, it would give you a negative balance.
6 0
2 years ago
Other questions:
  • Evaluate the expression 50 + 0.5 *(41-32)
    12·1 answer
  • A student solves a problem correctly 40 times out of 72 tries. Based on this data, what is the probability that the student inco
    11·1 answer
  • Dave has an 80 question test and he gets 68 write write the question he got correct as a fraction percent and decimal
    8·2 answers
  • Use long division to rewrite the following expression (18x^2+5x+5)/(6x^2-4x+1)
    15·1 answer
  • Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes.
    15·1 answer
  • A school has 200 students and spends $40 on supplies for each student. The principal expects the number of students to increase
    11·1 answer
  • Use the 3 trig ratios to find each unknown side length. Round all answers to 1 decimal
    5·1 answer
  • After the neighborhood block party 2/4 of the brownies were left in the pan. Then Claire ate 1/6 of the leftovers. How much of t
    14·2 answers
  • Easy! what is the area of the circle​
    13·1 answer
  • -<br> Use the order of operations to simplify 4(3.5 - 1.5) -
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!