Answer:
not too sure
Step-by-step explanation:
Find the measure of the central angle of a regular polygon with 16 sides.
Answer:
Each angle of a regular hexadecagon is 157.5 degrees, and the total angle measure of any hexadecagon is 2520 degrees.
Quick Start Company makes 12-volt car batteries. After many years of product testing, the company knows that the average life of a Quick Start battery is normally distributed, with a mean of 45.0 months and a standard deviation of 8.1 months.
a. If Quick start guarantees a full refund on any battery that failswithin the 36 month period after purchase, what percentage of itsbatteries will the company expect to replace?
b. If quick Start does not want to make refunds for more than 10% ofits batteries under the full refund guarantee policy, for how longshould the company guarantee the batteries (to the nearestmonth)?
Answer:
a. The company will be expected to replace 13.35% of its batteries.
b. The company should guarantee the batteries for 35 months.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 45.0 months and a standard deviation of 8.1 months.
This means that [tex]\mu = 45, \sigma = 8.1[/tex]
a. If Quick start guarantees a full refund on any battery that fails within the 36 month period after purchase, what percentage of its batteries will the company expect to replace?
The proportion is the p-value of Z when X = 36. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{36 - 45}{8.1}[/tex]
[tex]Z = -1.11[/tex]
[tex]Z = -1.11[/tex] has a p-value of 0.1335
0.1335*100% = 13.35%
The company will be expected to replace 13.35% of its batteries.
b. If quick Start does not want to make refunds for more than 10% of its batteries under the full refund guarantee policy, for how long should the company guarantee the batteries (to the nearest month)?
The guarantee should be the 10th percentile, that is, X when Z has a p-value of 0.1, so X when Z = -1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.28 = \frac{X - 45}{8.1}[/tex]
[tex]X - 45 = -1.28*8.1[/tex]
[tex]X = 34.6[/tex]
Rounding to the nearest month:
The company should guarantee the batteries for 35 months.
Write an equation for the line graphed below: y=??
Answer: y=-2x-1
Step-by-step explanation:
First let's find the slope by using the formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]\frac{-3--1}{1-0} \\\frac{-2}{1} \\-2[/tex]
The equation for slope intercept form is y=mx+b where m is the slope and b is the y-intercept
The y-intercept is -1 giving us the equation
y=-2x-1
IM BEING TIMEDDD PLEASE HELPPPPPP
Choose the correct simplification of (6x3 − 7x − 4) + (4x3 + 8x + 3). (5 points)
2x3 − 15x − 7
10x3 + x − 1
2x3 + 15x + 6
10x3 − x − 1
Answer:
10x^3 + x - 1
Step-by-step explanation:
(6x^3 -7x - 4) + (4x^3 + 8x + 3)
Combine like terms
6x^3 + 4x^3 = 10x^3
Combine like terms
-7x + 8x = x
Combine like terms
-4 + 3 = -1
Combine the results of the terms
10x^3 + x - 1
please help!!!!! I’ll give you brainliest
Answer:
A=32
B=3
C=7
Step-by-step explanation:
Caitlyn surveyed 100 students to find out their favorite class. There were 29 students who enjoyed biology and 35 students who enjoyed English. There were 12 students who did not enjoy Biology, English, or Math.
29 like Biology so to find B you subtract. 29-6-5=3
35 like English so to find C 35-3-5-20=7
Total of 100 students subtract what you know to find A.
100-15-6-5-3-7-20-12=32
Answer this pls. its all about the pythagorean theorem thanks
Answer:
The answer is below
Step-by-step explanation:
A triangle is a shape with three sides and three angles. There are different types of triangles such as isosceles, equilateral, scalene, obtuse, acute and right angled.
In a right angled triangle, the side with the longest length is known as the hypotenuse and this sides is always opposite to the right angle (90 degrees). Pythagoras states that the square of the hypotenuse is equal to the sum of the square of the remaining sides.
a) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 5(3) = 15
u² = h² + b² = 15 + 3² = 24
u = √24
b) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 4(2) = 8
h = √8
c) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 7(7) = 49
h = 7
u² = h² + b² = 7² + 7² = 98
u = √98
t² = h² + a² = 7² + 7²
t = √98
Moe bought a home for $200,000 in 2012. Every year the city appraiser has said Moe's home has increased in value 5% What it Moe's home worth in 2019?
a. $230,000
b. $281420
c. $268,019
d. $269972
Given :
Moe bought a home for $200,000 in 2012. Every year the city appraiser has said Moe's home has increased in value 5% .
To Find :
What it Moe's home worth in 2019.
Solution :
We know, formula of compound interest is :
[tex]A = P ( 1 + \dfrac{R}{100})^n\\\\A = 200000\times ( 1 + \dfrac{5}{100})^{2019-2012}\\\\A = 200000\times ( 1 + \dfrac{1}{20})^7\\\\A = \$ 281420.0[/tex]
Hence, this is the required solution.
Please help me find the length of su
A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find tan B, sinB, and cos B. (marking brainlist)
Answer:
tan B = 12 /5
sin B = 12/13
cos B = 5/13
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan B = opp/ adj = 12 /5
sin B = opp/hyp = 12/13
cos B = adj/hyp = 5/13
Answer:
Sine of B = 12/13
Cos of B = 5/13
Tan of B = 12/5
Step-by-step explanation:
In this case, the opposite is 12, the adjacent is 5 and the hypotenuse is 13.
sin is opposite/hypotenuse
cos is adjacent/hypotenuse
and
tan is opposite/adjacent
if I simplify the formula -3 (-10)+5(-10)=
State the next three terms of Fibonacci sequence 1,1,2,3,5,8,13
Answer:21 then 34
Step-by-step explanation: its just correct lol
The sum of two numbers is 67. The difference of the two numbers is 53. What are the two numbers?
Answer:
One number is 60 and the other is 7.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsSolving systems of equation using substitution/eliminationStep-by-step explanation:
Step 1: Define
Identify and set up
Let x be one number and y be the other.
x + y = 67
x - y = 53
Step 2: Solve for x
Elimination
Combine two equations: 2x = 120[Division Property of Equality] Divide 2 on both sides: x = 60Step 3: Solve for y
Substitute in x [1st Equation]: 60 + y = 67[Subtraction Property of Equality] Subtract 50 on both sides: y = 7At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.14 and the probability that the flight will be delayed is 0.16. The probability that it will not rain and the flight will leave on time is 0.79. What is the probability that it is not raining if the flight has been delayed?a. P(delayed | rain) = 0.08.
b. P(delayed | rain) = 0.083.
c. P(rain | delayed) = 0.06.
d. P(rain | delayed) = 0.056.
Answer:
The appropriate answer is "0.437".
Step-by-step explanation:
Given:
P(rain) = 0.14
then,
P(no-rain) = 1-P(rain)
= 1-0.14
= 0.86
P(delay) = 0.16
P(rain and on time) = 0.79
then,
By using the conditional probability, we get
⇒ [tex]P(A|B)=\frac{P(A \cap B)}{P(B)}[/tex]
or,
⇒ [tex]P(no \ rain|delay) = \frac{P(no \ rain \cap delay)}{P(delay)}[/tex]
By substituting the values, we get
⇒ [tex]=\frac{0.07}{0.16}[/tex]
⇒ [tex]=0.437[/tex]
If f(1)=4f(1)=4 and f(n)=f(n-1)^2+2f(n)=f(n−1)
2
+2 then find the value of f(3)f(3).
Answer:
f(3) = 326
Step-by-step explanation:
Given the function
f(n)=f(n-1)^2+2
If f(1) = 4
f(2) = f(1)^2 + 2
f(2) = 4^2 + 2
f(2) = 16 + 2
f(2) = 18
f(3) = f(2)^2 + 2
f(3) = 18^2 + 2
f(3) = 324 + 2
f(3) = 326
Write an equation of a line that passes through the point (2,6) and is parallel to the line y = -3
Answer:
y=6
Step-by-step explanation:
Let us start with the general equation of a line, y=mx+b. m represents the slope of the line, b represents the y intercept, and the y and x represents the values of the coordinate that the line passes through.
In this case, we know our line is parallel to y=-3, thus it has the same slope as it. Notice that in y=-3, there is no x. Therefore, the slope must be 0!
We now have equation:
[tex]y=0x+b[/tex]
Let us plug in the coordinate it passes through (2,6), to solve for b.
[tex]6=0*2+b\\6=b\\[/tex]
Now we have everything! Let us write the equation of the line now.
[tex]y=6[/tex]
I hope this helps! Let me know if you have any questions :)
what was ram previous salary if he now get Rs 18600 after are increment by 20%
Answer:
Rs 15500
Step-by-step explanation:
x = previous salary
0.20x + x = 18600
1.20x = 18600
/1.20 /1.20
x = 15500
The sum of two numbers is thirteen. Using x to represent the larger of the two numbers, translate "the difference between four more than the larger number and twice the smaller number" into a variable expression. Then simplify.
Help PLSSS I will give brainlyest I suck at math this should be easy
Answer:
36
Step-by-step explanation:
Least Common Multiple of 9 and 12
Factor each into prime factor
9 = 3 * 3
12 = 2 * 2 * 3
LCM is the greatest number of different prime factors from each
LCM = 3 * 3 * 2 * 2
LCM = 36
Answer:
36 hotdogs
Step-by-step explanation:
36 ÷ 9 = 4
36 ÷ 12 = 3
Hope this helps!
-kiniwih426
A)?
B)?
C)?
D)?
Which one?!
Answer:
C. pentagon, not regular
(yeah sorry for the wrong answer before, i got confused with the concept T^T)
Answer:
C
Step-by-step explanation:
there are 5 sides to the shape however they are not all the same length meaning it is irregular
Determine the following information about each value in a list of positive integers. a. Is the value a multiple of 7, 11, or 13? b. Is the sum of the digits odd or even? c. Is the value a prime number?
Help and explain pls and thankyouuu
Answer:
third one
Step-by-step explanation:
l 3q-2 l = 7
drop absolute value symbols and set up two equations
3q - 2 = 7 or 3q - 2 = -7
3q = 9 3q = -5
q = 3 q = [tex]\frac{-5}{3}[/tex]
Answer:
3q-2=7
The two will move other side of equal sign from - 2 to +2
3q=7+2
3q=9
/3 in both side
q=3
5th grade math. correct answer will be marked brainliest, answer the blank one!!
Can anybody help me with this please. Thanks
9514 1404 393
Answer:
x° ≈ 50.0°
Step-by-step explanation:
The sides adjacent and opposite the angle are given. The appropriate trig relation is ...
Tan = Opposite/Adjacent
tan(x°) = 50/42
The inverse function is used to find the angle whose tangent is a particular value:
x° = arctan(50/42) ≈ 49.9697°
x° ≈ 50.0°
A baseball is hit at an angle θ horizontal with the ground. Suppose the initial velocity is 100 feet per second. An outfielder catches the ball 300 feet from home plate. The range is determined by the following function: range=1/32 v_0^2 sin〖(2θ)〗. Find the angle.
Answer:
The angle of projection is 36.86 degree.
Step-by-step explanation:
speed, u = 100 ft/ s
range, R = 300 ft
Use the formula of range
[tex]R = \frac{u^2 sin2\theta}{g}\\\\300 =\frac{100\times 100 sin2\theta}{32}\\\\sin2\theta =0.96\\\\2\theta =73.74^o\\\\\theta = 36.86^o[/tex]
plssssss help I rly need help asap
.Write the equation of the line with m = –1 and Passes point (4, 5). Put your answer in Slope–Intercept Form.
y-5 = -1(x-4)
y-5 = -x+4
y= -x +4+5
y= -x+9
This is the required eqn
Look at the two 2s in this number:
Which of these statements is true? Choose all that apply.
A
The blue 2 on the left is 200 times the value of the orange 2 on the right.
B
The blue 2 on the left is 100 times the value of the orange 2 on the right.
C
The blue 2 on the left is 10 times the value of the orange 2 on the right.
D
The blue 2 on the left is equivalent to the orange 2 on the right.
E
The orange 2 on the right is 110\frac 1{10}
10
1
of the value of the blue 2 on the left.
A new update is available Refresh
Answer:
The blue 2 on the left is 10 times the value of the orange 2 on the right.
Step-by-step explanation:
An object has a mass of 630 kg and a volume of 7 m cube.
Find the density of the object in kg/m cube.
Step-by-step explanation:
Hey there!
According to the question;
Mass of an object (m) = 630 kg
Volume of an object (v) = 7m³
We know that;
[tex]density = \frac{mass(kg) \: }{volume( {m}^{3} )} [/tex]
or, density = (630/7) kg/m³
Therefore, density of the substance is 90kg/m².
Hope it helps!
Angle 0 corresponds to a point (x,y) on the unit circle in quadrant 1. Which quadrant does 0+pi lie in?
Answer: Quadrant 3
============================================================
Explanation:
pi radians = 180 degrees
If angle [tex]\theta[/tex] (greek letter theta) is in quadrant 1, then this places the angle in the northeast quadrant. Adding 180 degrees to theta will move it to the third quadrant, which is in the southwest.
Note: when incrementing through the quadrants (1,2,3,4) we move counterclockwise.
this is a 30-60-90 triangle. what is the measure of X? please explain
[tex]x = 10 \sin(60) \\ x = 10 \frac{ \sqrt{3} }{2} \\ x = 5 \sqrt{3} [/tex]
