Answer:
0.7744 = 77.44% probability of getting two good coils when two coils are randomly selected
Step-by-step explanation:
For each coil, there are only two possible outcomes. Either it is good, or it is not. Since the coil taken is replaced, the probability of choosing a good coil on a trial is independent of any other trial, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
88 out of 100 are good:
This means that [tex]\pi = \frac{88}{100} = 0.88[/tex]
Find the probability of getting two good coils when two coils are randomly selected.
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.88)^{2}.(0.12)^{0} = 0.7744[/tex]
0.7744 = 77.44% probability of getting two good coils when two coils are randomly selected
Calculate the sum of the integers from 52 to 108
Answer:3136
Step-by-s
tep explanation:
Answer:
4506
Step-by-step explanation:
you have do like this 56+57+58+59+60+.....+108 look you will 4506 as answer
given that Tn = -4n^2+56n-180 , determine the biggest numerical value of Tn
The solution and answer are well written in the Pic above.
The surface area of the cube shown
What percent did the price drop
Answer:
10%
Step-by-step explanation:
You have the correct answer. Nice job!
Sales of a certain product are declining at a rate proportional to the amount of sales. If at the end of the first year the sales have declined by 22%, then how many years will have passed (since the beginning of the first year) when sales become only 31% of their original value? Express your answer as a decimal, correct to within 0.001 years.
Answer:
The answer is "6.093 years".
Step-by-step explanation:
The rate of decline in sales in [tex]22\%[/tex] per year.
The starting sales is 100 units:
Using compounding formula:
[tex]\to 100 \times (1-\frac{22}{100})^t=22\% \ of \ 100\\\\\to 100 \times (\frac{100-22}{100})^t=\frac{22}{100} \times \ 100\\\\\to (\frac{78}{100})^t=\frac{22}{100}\\\\\to 0.78^t=0.22\\\\\text{taking \log on both the sides}\\\\[/tex]
taking log on both sides
[tex]\to \log_e \ 0.78^t= \log_e\ 0.22\\\\\to t \log_e \ 0.78= \log_e\ 0.22\\\\\to t = \frac{\log_e 0.22}{\log_e 0.78}\\\\[/tex]
[tex]= \frac{-0.6575}{-0.1079}\\\\= \frac{0.6575}{0.1079}\\\\=6.093[/tex]
Please help me with this, no clue.
A man drove 60 km at 30 km/h, 60 km at 40 km/h and 60 km at 50 km/h. What was his average speed for the whole journey?
Answer:
the above answer help you guy.
h
,
If you cut 20 lemons by half and then cut half of these halves by half, how many lemon parts will you have?
Answer: 40
Step-by-step explanation:
If you cut 20 lemons by half and then cut half of these halves by half, then 80 lemon parts we have
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that 20 lemons are cut by half.
cut half of these halves by half.
We need to find how many lemon parts will you have.
Let us consider a lemon whic is 1
Now let us make it half 1/1/2=2
Now each part is divided to half =2/(1/2)=4
So for one lemon it has 4 parts.
Now let us find for 20 lemons.
Multiply 20 with 4
20×4
80 parts
Hence, If you cut 20 lemons by half and then cut half of these halves by half, then 80 lemon parts will you have
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ5
A triangle has sides measuring 2 inches and 7 inches. If x represents the
length in inches of the third side, which inequality gives the range of possible
values for x?
O A. 5
OB. 2
O C. 2 sxs7
D. 5sxs9
Answer:
D
Step-by-step explanation:
Answer:
The answer is A.
Step-by-step explanation:
Which equation is the inverse of 2(x – 2)2 = 8(7 + y)?
Answer:
y = (4x - 71)/8
Step-by-step explanation:
2(x - 2)2 = 8(7 + y) solve for y instead of x for the inverse equation
4x - 8 = 63 + 8y
4x - 8 - 63 = 8y
4x - 71 = 8y
y = (4x - 71)/8
Answer:
A
Step-by-step explanation:
Which of these is an exponential parent function?
Complete question is;
Which of these is an exponential parent function?
A. f(x) = x
B. f(x) = 2^(x)
C. f(x) = x²
D. f(x) = |x|
Answer:
B. f(x) = 2^(x)
Step-by-step explanation:
> In option A, f(x) = x
This function depicts a straight line with intercept as 0 and slope as 1.
> In option C, f(x) = x²
This function depicts a parabola open up since the leading coefficient is greater than 0.
> In option D: f(x) = |x|
This function depicts a straight line y = x for x > 0 and y = -x for x < 0
In option B f(x) = 2^(x)
This function depicts an exponential function because the x is in the exponent form with a base of 2.
In a class of 55 students, 15 students like Math but not English and 18 students liked English but not Math. If 5 students did not like both, how many students liked both subjects? Represent the above information in a Venn-diagram.
The equation of a line is 2(y + 1) = 10x + 3.
The y-intercept of the line is
, and the slope of the line is
Answer:
y intercept is (0,-0.5) and the slope is 5.
Step-by-step explanation:
Let's rewrite the equation in slope intercept form.
Step 1: divide both sides by two:
[tex]\frac{2\left(y+1\right)}{2}=\frac{10x}{2}+\frac{3}{2}[/tex]
Step 2: simplify [tex]y+1=\frac{10x+3}{2}[/tex]
Step 3: subtract one from both sides: [tex]y+1-1=\frac{10x+3}{2}-1[/tex]
[tex]y=\frac{10x+3}{2}-1[/tex]
[tex]y = 5x - \frac{1}{2}[/tex]
The graph plots four equations, A, b,c,and d
Which pair of equations has (0.8) as its solution?
Equation A and Equation C
Equation B and Equation
Equation C and Equation D
Equation B and Equation D
Answer:
equation A and equation c
Answer:
Equation A and Equation C
What is the result of subtracting the second equation from the first?
-2x+y = 0
-7x+3y = 2
Answer:
-5x + 2y=2
Step-by-step explanation:
[tex]- 7x + 3y = 2 \\ - 2x + y = 0 \\ subtracting \: this.we \: have \\ ( - 7x \: + 3y - 2) - ( - 2x + y) \\ - 7x + 2x + 3y - y - 2 \\ - 5x + 2y - 2 \\ therefore \: we \: have \\ - 5x + 2y = 2[/tex]
jerry has been staying up late at night to get in some extra study time. He hopes to get accepted into his favorite college and needs to pass the entrance exam. The test is a stressor and which of the following is symptom of how he is reacting to stress?
normal heart rate
upset stomach
extra sleep
increased energy
Jerry has been stressing a lot for getting into his favorite college. The symptom by which he is reacting to stress is 'upset stomach'.
How do people react to stress?Stress can lead to a lot of emotional and physical negative responses in the body. This includes difficulty breathing, panic attacks, blurred eyesight or sore eyes, sleep problems, fatigue, muscle aches and headaches, chest pains and high blood pressure, Indigestion or heartburn, constipation, feeling sick, dizzy or fainting.
When Jerry stayed up late at night to get in some extra study time, had a mental burden of passing an entrance exam, a lot of stress was built. He reacted to it with an upset stomach just like others.
Learn more about reacting to stress here
https://brainly.com/question/14973731
#SPJ2
A coordinate plane.
A line goes through the point (–4,–2) and has an x-intercept of –1.
Which point also lies on the line?
A (–6,–5)
B (3,2)
C (4,5)
D (5,4)
Answer: D. (5, 4)
Step-by-step explanation:
An x-intercept of -1 means the point = (-1, 0)
So find the slope(m) using the formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex](x_{1},y_{1})=(-4,-2)\\(x_{2},y_{2})=(-1,0)\\\\m = \frac{0-(-2)}{-1-(-4)}=\frac{0+2}{4-1}=\frac{2}{3}[/tex]
Now find the y-intercept(b) by substituting a point into the function:
y = mx + b
[tex]y=\frac{2}{3} x+b\\\\0=\frac{2}{3} (-1)+b\\\\0=-\frac{2}{3}+b\\\\b=\frac{2}{3}[/tex]
So now the function is determined as [tex]y=\frac{2}{3} x+\frac{2}{3}=\frac{2}{3}(x+1)[/tex].
Bring each of the coordinates in to see if it fits in:
A. (-6, -5) [tex]\frac{2}{3}(-6+1)=\frac{2}{3}(-5)=-3.33\neq -5[/tex]
B. (3, 2) [tex]\frac{2}{3}(3+1)=\frac{2}{3}(4)=2.67\neq 2[/tex]
C. (4, 5) [tex]\frac{2}{3}(4+1)=\frac{2}{3}(5)=3.33\neq 5[/tex]
D. (5, 4) [tex]\frac{2}{3}(5+1)=\frac{2}{3}(6)=4[/tex]
Answer:
D(5,4)
Step-by-step explanation:
Took Quiz
I need help pls !!!!!!!
Find the measure of the indicated angle
Answer:
x = 52
Step-by-step explanation:
The triangle is isosceles. The markings tell us that.
The 76 is not opposite either one of the equal sides. Let the angle values opposite the equal sides be x
x + x + 76 = 180 All triangles = 180
2x + 76 = 180 Subtract 76 from both sides.
2x = 180 - 76
2x = 104 Divide both sides by 2
x = 104/2
x = 52
So x = 52
Find the measure of the indicated side
ANSWER:
10 units
EXPLAINATION:
The measure of the indicated side would be 10 units because the triangle shown here is a equilateral triangle this can be seen by the picture in which all the angles of the triangle are equal.
A) { -3 , -1 , 1, 3 , 6 }
B) { 3, -1 , 2, 0, -2}
C) all real numbers
D) {3,-2,-1,0,1,2,3,4,5,6,7,8}
The table shows the altitudes of four different cities. What is the correct way to arrange the altitudes in decreasing order?
City Altitude (feet)
Snowvale 13
Highbridge 58
Westsilver -51
Springmoor -35
A.
58, 13, -35, -51
B.
-51, -35, 13, 58
C.
-35, -51, 13, 58
D.
58, 13, -51, -35
Answer:
Step-by-step explanation:
i think A
Hope this helps!
A(-4,-2), B(-1,-1), C(-1,-4)
what are the coordinate of triangle ABC when reflected over the line y=-x?
A). A'(-2,4), B'(1,1), C(-4,1)
B). A'(2,4), B'(1,1), C(4,1)
C). A'(4,2), B'(1,2), C'(2,1)
D). A'(2,4), B'(1,-1),C' (4,-1)
Answer:
B
Step-by-step explanation:
Fip numbers and change both signs when reflecting over y=-x
Answer:
C
Step-by-step explanation:
Tzar Bomba
(Soviet)
15
Trinity
Bravo
Hiroshima
10 -
Mike
Bunker Buster
Illustration From October 2002
Issue of Popular Mechanics" (pg. 69)
Determine the following about the graph:
• Is the graph misleading?
수
.
Does the graph have missing or inaccurate titles, labels, or keys?
e
Does the vertical axis start at 0?
.
Are images used instead of bars?
.
Is the perspective or orientation misleading?
Answer:
Below
Step-by-step explanation:
1. Potentially, yes. The display of the smaller bombs in the "magnifying glass" display can be very misleading.
2. Yes - the vertical axis labels the tonnage of the nuclear blast while displaying the height of each mushroom cloud.
3. Maybe? While the first number displayed in the vertical axis is 5 (Mt), it is most likely that the 0 is unlabeled rather than non-existent.
4. Yes - images of the mushroom cloud produced by each bomb.
5. Absolutely - the larger display of the smaller bombs can create major conflict in understanding the size of each.
If line n bisects CE, find CD.
If it bisect, then using the Line Bisector Theorem, it must be equal.
So x+6=4x-21
get like terms on 1 side
x+6=4x-21
-x. +21
27= 3x
x=9
plug the x in
CD= 9+6
CD=15
The value of CD such that line n is bisecting line segment CE is 15.
What is a line segment?A line section that can connect two places is referred to as a segment.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
Given that line, n is bisecting the line segment CE at D
CD = DE
Given CD = x + 6 and DE = 4x - 21
x + 6 = 4x - 21
4x - 21 = x + 6
4x - x = 6 + 21
3x = 27
x = 9
Therefore CD = 9 + 6 = 15
Hence "The value of CD such that line n is bisecting line segment CE is 15".
For more about line segments,
https://brainly.com/question/25727583
#SPJ5
3x-4y=-24
Identify the x- and y-intercept of the graph of each question
Answer:
x = -8 and y = 6
Step-by-step explanation:
3x - 4y = -24
Solve for y - intercept
3x - 4y = -24
To find y intercept , substitute x = 0
3 × 0 - 4y = -24
Any expression multiplied by 0 equals 0.
0 - 4y = -24
-4y = -24
Divide both sides by -4
-4y / -4 = -24/-4
y = 6
Similarly, Solve for x-intercept
3x - 4y = -24
To find x- intercept , susbtitute y = 0
3x - 4 × 0 = -24
Any expression multiplied by 0 equals 0.
3x - 0 = -24
3x = -24
Divide both sides by 3
3x / 3 = -24 / 3
x = -8
Therefore, y = 6 and x = -8
what is the measure of 4?
Answer:
11x + 8 = 12x - 4
x=12
∠ 4 = 180-140 = 40°
Step-by-step explanation:
Helppppp
A. 8/15
B. 8/17
C. 15/8
D. 15/17
Answer:
D
Step-by-step explanation:
sin theta is equal to perpendicular by hypotenuse
here perpendicular is equal to 15 and base is equal to 8 therefore hypotenuse will be equal to 17
on putting on putting the value of perpendicular by hypotenuse we get 15 by 17 as sin theta
Answer:
Step-by-step explanation:
hypotenuse = √(15²+8²) = √289 = 17
sinθ = (leg opposite θ)/hypotenuse = 15/17
77/15 as a mixed number
Answer:
5 2/15
Step-by-step explanation:
Answer:
5 [tex]\frac{2}{15}[/tex]
Step-by-step explanation:
A mixed number consists of a whole number and a proper fraction (meaning the numerator is less than the denominator).
To get a mixed number, we are going to divide 77/15 using long division:
(I attached an image down below for you to understand better)
15 goes into 77 only 5 times with a remainder of 2.
So our whole number is 5
And the remainder of 2 become of the numerator of our proper fraction, with 15 being our denominator.
So your answer is 5 [tex]\frac{2}{15}[/tex]
Hope it helps (●'◡'●)
Which equation will solve the following word problem? Vanessa spent $87.00 on entertainment for the week. Her rent costs twelve dollars less than double that amount. How much does Vanessa spend on rent?
2 * $87 - $12 = R
2R = $87 + $12
2R - $12 = $87
2($87) - 2($12) = R
Answer:
2 * $87 - $12 = R
Step-by-step explanation:
Let R represent the cost of Vanessa's rent.
Vanessa spent $87.00 on entertainment for the week.
Her rent costs twelve dollars less than double that amount. Breaking it down, the expression "double that amount" is expressed as (2 × 87). Subtracting 12 from double that amount, the final expression would become
R = 2(87) - 12
R =
R = 174 - 12
The correct option is
2 * $87 - $12 = R
