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%
Find the distance between the points. (-7,8) (7,8)
PLEASE H E L P.
Answer:
14
Step-by-step explanation:
Hope this Helps!!!!!
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.
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.
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
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:
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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.
Answer:
(11 hrs + 16 hrs)/2 = 13.5 hrs
13.5 hrs /2 = 6.75 hrs
Given Find the area of figured one area of figure two area of figured three area of figure four area of the whole figure
Answer:
culeous
Step-by-step explanation:
because it gives particular figured area
\
What the person above me said. :)
_____________________________
Step-by-step explanation:
hope it is helpful to you
Se extraen dos canicas de un paquete, que tiene dos canicas rojas, dos canicas negras y una canica blanca. ¿Cuáles son los posibles elementos de este experimento aleatorio?
A.
{(blanca, roja), (blanca, negra), (roja, negra), (roja, roja), (negra, negra)}
B.
{(blanca, roja), (blanca, negra), (roja, negra), (negra, roja)}
C.
{(blanca, roja), (blanca, negra), (roja, negra), (blanca, blanca)}
D.
{(roja, roja), (negra, negra), (blanca, blanca), (roja, negra), (blanca, negra)}
Hombre, no lo sé, pero estoy feliz de hablar
Which similarity statement and justification correctly identifies the triangles'
relationship? *
Help plz
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 solution set of the inequality:
-3x + 8 < 15
Answer:
the answer would be x>-7/3
If x= -4, find the value of x²-5+6.
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
Then Find The Value Of X
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
Help anyone I’ll mark Brainly
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:
Find the area of the composite figure
Use the slope formula to find the slope of the line through the points (−1,−2) and (9,−10)
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
What expression is undefined
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
state the place value of:. (i) 8 in 287
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.
Answer:
16 for both
Step-by-step explanation:
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 ?
Answer:
Jeremy would pay $28.62 in total.
Step-by-step explanation:
Which table contains only values that
satisfy the equation y = 6x +2?
FOR BRAINLIST!!
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)
(2/3)^4=
am very confuse guys help!!!
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
I was so confident in this question but I still got it wrong:( help!!
Answer:
I believe it's a. I've seen you posting a lot of questions I hope you do good on your resubmission.
1
If ZA and ZB are complementary angles and mA = 60°, then m B =?
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
24-u=234 solve for u
Answer:
u= -210
Step-by-step explanation:
Hope this is helpful(please make me the brainliest!)
Evaluate the expression shown below and write your answer as either a mixed number or fraction in simplest form, or a decimal.
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)
I want to know if I am correct. I forgot how to do this and I am helping out little brother
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
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.
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?
Answer:43090
Step-by-step explanation: Pt=35000*2 3/10
Pt= 43090.0545
Out of 24 cookies,
3
4
are chocolate chip. How many cookies are chocolate chip?
Answer:
18 cookies
Step-by-step explanation:
3/4 = 75%
75% = 0.75
Multiply this by 24 = 18 cookies
Find the highest common factor of 126
and 140
Please help
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
What time is it in iowa when the sun goes down in new york at 5:20 pm est?