a. A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 45 months and a standard deviation of 3 months. Using the empirical rule (as presented in the book), what is the approximate percentage of cars that remain in service between 48 and 51 months?b. The physical plant at the main campus of a large state university recieves daily requests to replace fluorescent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 64 and a standard deviation of 7. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 57 and 64?c. A population of values has a normal distribution with μ=153 and σ= 39.5You intend to draw a random sample of size n=196Find P2, which is the score separating the bottom 2% scores from the top 98% scores. P2 (for single values) = Find P2, which is the mean separating the bottom 2% means from the top 98% means. P2 (for sample means) = Enter your answers as numbers accurate to 1 decimal place. round your answer to ONE digit after the decimal point! Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.d. A population of values has a normal distribution with μ= 117.8 and σ=73.1You intend to draw a random sample of size n=59Find the probability that a single randomly selected value is greater than 113. P(X > 113) = Find the probability that a sample of size n= 59 is randomly selected with a mean greater than 113. P(M > 113) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Answers
a.
For this to make sense, we will plot the bell curve of the distribution.
It is general convention that:
65% of the values in the distribution lie between
[tex]\begin{gathered} \bar{x}\pm\sigma \\ Where\colon \\ \bar{x}=\text{mean} \\ \sigma=s\tan dard\text{ deviation} \end{gathered}[/tex][tex]\begin{gathered} 48\pm3=51\text{ or 45} \\ \text{This means that }65\text{ \% of the values lie within the range 45 and 51.} \\ Therefore,\text{ the range between 48 and 51 will be a half of 65\%} \\ \frac{65}{2}\text{ \% = 32.5\%} \end{gathered}[/tex]35% is the percentage of cars that remain in service between 48 and 51 months
b.
We also plot the distribution curve as in a above,
[tex]\begin{gathered} 64\pm7=71\text{ or }57 \\ \text{This means that }65\text{ \% of the values lie within the range 57 and 71.} \\ Therefore,\text{ the range between 57 and 64 will be a half of 65\%} \\ \frac{65}{2}\text{ \% = 32.5\%} \end{gathered}[/tex]
32.5% is the approximate percentage of lightbulb replacement requests numbering between 57 and 64
Related Questions
Can you help me with this one please? Only part b
Answers
Simplifying,
[tex]\begin{gathered} ((5+2i)^2-2)i\rightarrow(25+20i+4i^2-2)i\rightarrow(23+20i-4)i \\ \\ \rightarrow(19+20i)i\rightarrow19i+20i^2\rightarrow-20+19i \end{gathered}[/tex]Write the equation in Slope-Intercept form that passes through the point (-4, -9) and has a slope of 1/12.
Answers
Answer:
[tex]y=\frac{1}{12}x-\frac{26}{3}[/tex]
Step-by-step explanation:
[tex]y+9=\frac{1}{12}(x+4) \\ \\ y+9=\frac{1}{12}x+\frac{1}{3} \\ \\ y=\frac{1}{12}x-\frac{26}{3}[/tex]
?
Find the Area of the figure below, composed of a rectangle and a semicircle. The
radius of the circle is shown. Round to the nearest tenths place.
Area of Irregular Shapes
Nov 03, 2-44:03 PM
Answer:
9
3
100 POINTS PLEASE HELP !!!!!
Answers
Answer:
50.3 square units
Step-by-step explanation:
area of rectangle: 11 x twice the radius
radius = 2
A(rect): = 11(4) = 44 sq units
A (semi-circle) = (π·r²) / 2
A = 4π / 2 = 2π = 6.28 sq units
44.0 + 6.28 = 50.28
Answer:
68.1
Step-by-step explanation:
3.14*3²=28.26
28.26/2=14.13
3*2=6
9*6=54
54+14.13=68.13
68.1
which of the following expression is equivalent to 7 y + 21 y(7+21) 7(y+21). 7(y+3. 21y+7
Answers
The expression given is;
[tex]\begin{gathered} 7y+21 \\ \text{The equivalent is;} \\ =7(y+3) \\ We\text{ use 7 to factor both sides of the expression, hence} \\ \frac{7y}{7}=y \\ \text{And} \\ \frac{21}{7}=3 \\ \text{Therefore, the answer is } \\ 7(y+3) \end{gathered}[/tex]The correct answer is option C
Maddie borrowed $1500 at a 4% interest rate. If she pays off the loan in 3 years.
how much will she pay in total with interest?
$1,680
$50
$500
$180
Answers
Answer:
1680
Step-by-step explanation:
Answer:
I guess if she is Pays the money in three years, she will pay a capital of 1500/3 per year, which is 500$ per year. The Interest she pays the first year is: I=Debt*interest rate, so I=1500$*0.04, which is: I=60$. So without other information, i assume she pays 60$ each year, so in three years: I=60*3 --> 180$.
need some help pls due date 10pm
thanks to whoever answers
Answers
Answer:
x = 90°
y = 20°
z = 20°
Step-by-step explanation:
Each interior angle of a square is 90°.
Angles on a straight line sum to 180°.
Angle x
⇒ 90° + x = 180°
⇒ 90° + x - 90° = 180° - 90°
⇒ x = 90°
Angle z
⇒ z + 90° + 70° = 180°
⇒ z + 160° = 180°
⇒ z + 160° - 160° = 180° - 160°
⇒ z = 20°
Interior angles of a triangle sum to 180°.
Angle y
⇒ x + 70° + y = 180°
⇒ 90° + 70° + y = 180°
⇒ 160° + y = 180°
⇒ 160° + y - 160° = 180° - 160°
⇒ y = 20°
Which equation represents the line that is perpendicular to y = 1/6 and passes through (-8,-2)?
Answers
Answer:
If it is perpendicular: mperp..=-1/m, so:
mperpendicular= -6.
formula of the line passing through one point:
y-y0=m(x-x0)
so: y+2=-6(x+8)
y=-6x+48-2
y=-6x+46 is the answer
A scientist observes and counts 155 bacteria in a culture. Later, the scientist counts again and finds the number has increased as shown.
Answers
Answer:
You multiply 155 by 0.40 which is 40% and you get 62 then you add 62 to 155 and your final count of bacteria is 217
Step-by-step explanation:
Anthony had 2 grams of pepper. Then he used 0.99 grams of the pepper to make some scrambled eggs. How much pepper does Anthony have left?
Answers
Answer:2- 0.99 = 1.01
Step-by-step explanation:
2=2.00
2.00-0.99=1.01
easy
If Brady & Mathew knows that it will sell many of these cameras, should it expect to make or lose money from sell them? How much?
Answers
Given:
• Profit per camera = $186
,• Cost of replacing the camera = $3100
,• Probability it will be replaced once = 4% = 0.04
,• Probability it will be replaced twice = 1% = 0.01
,• Probability it will not be replaced = 95% = 0.95
Now, let's determine if the company should expect to make money or lose money from selling the camera.
Let's find the expected cost of repair.
We have:
E = (0.04 x 3100) + (0.01 x 2 x 3100) + (0.95 x 0)
E = 124 + 62 + 0
E = 186
Therefore, the expected cost of repair is $186.
We can see the profit per camera and the expected cost of repair are the same.
Profit per camera = Expected cost of repair
Since they are equal, the company should expect to neither make nor lose money from selling these cameras.
ANSWER:
Brady & Matthew should expect to neither make nor lose money from selling these cameras.
A certain insecticide kill 70% of all insects in a laboratory experiments A sample of 10 insects is exposed to the insecticide in a particular experiment what is the probability that exactly 3 insectswill die round your answer to four decimal places
Answers
The probability that exactly three insects will die is 0.343
Given 70% chance that an insect will die.
let A be the event that 1 insect dies.
P(A) = 0.7
The probability that the insect will not stay alive
= 1 - P(A)
= 1 - 0.7
= 0.3
Now there is a sample of 10 insects that are affected by the insecticide.
Therefore number of ways exactly 3 insects will die using binomial distribution is
= 10C3 × (0.7)³ × (0.3)⁷
= 120 × (0.7)³ × (0.3)⁷
=0.00901
≈ 0.009
Hence the required probability is 0.009 .
A probability distribution is an idealised frequency distribution. The frequency distribution of a certain sample or dataset serves as a description of it.
It is the frequency with which each conceivable value of the variable appears in the dataset. How frequently a value emerges in a sample is determined by its probability of occurrence.
To learn more about probability visit:
https://brainly.com/question/16484393
#SPJ9
find the image of (-2,-9) after a reflection over the y-axis
Answers
Out of 20 attempts a basket ball player only scored 8 times what percent of his chances did he score?
Answers
Answer:
40%
Step-by-step explanation:
20 x 5 = 100
8 x 5 = 40
Which means 8 out of 20 is 40% of 20.
how do I do this on a line?[tex]3 \ \textless \ 2x - 3 \leqslant 13[/tex]
Answers
Let the inequality:
[tex]3\text{ }<\text{ 2x - 3}\leq\text{ 13}[/tex]1. we add + 3 :
[tex]3\text{ +3}<\text{ 2x }\leq\text{ 13}+3[/tex]this is equivalent to :
[tex]6<\text{ 2x }\leq\text{ 1}6[/tex]we resolve for x ( we divide by 2) :
[tex]3<\text{ x }\leq8[/tex]that is the interval:
[tex](3,\text{ 8}\rbrack[/tex]on the real line, the interval is:
On the other hand, the inequality:
[tex]-2\text{ }<\frac{3+x}{4}\leq\text{ 3}[/tex]
1. Multiply by 4:
[tex]-8\text{ }<3+x\leq12[/tex]2. Add -3:
[tex]-11\text{ }that is the interval:[tex](-11,\text{ 9}\rbrack[/tex]
on the real line, the interval is:
how do I find all of the following that can be a counterexample for the statement below?
Answers
As we need to select counterexamples, we have to select all the options that make the statement x+2>7 a FALSE statement.
Then, we can rearrange:
[tex]\begin{gathered} x+2>7 \\ x>7-2 \\ x>5 \end{gathered}[/tex]We have to select all the options where x is NOT greater than 5: -2, 0, 3, 4.
The options -2, 0, 3, 4 have to be selected.
Solve the inequality
6(x/2+4)≥9
Answers
3x+24=9
3x=9-24
3x=-15
x=-5
Angela and Barry share a piece of land. The ratio of the area of Angela’s portion to the
area of Barry’s portion is 3:2. They each grow corn and peas on their piece of land. The
entire piece of land is covered by corn and peas in the ration 7:3. On the Angela’s portion
of the land, the ratio of corn to peas is 4:1. What is the ratio of corn to peas for Barry’s portion?
(A)11:9 (B)2:3 (C)3:2 (D)3:7 (E)1:4
Answers
Answer:
3:2
Step-by-step explanation:
Angela + Barry = land
7 corn + 3 peas = land
4 corn + 1 peas = Angela
land = land
Angela + Barry = 7 corn + 3 peas
4 corn + 1 peas + Barry = 7 corn + 3 peas
Barry = 7 corn + 3 peas - 4 corn - 1 peas
Barry = 3 corn + 2 peas
Barry = 3:2
The ratio of corn to peas for Barry's portion is 3:2. Hence, option C is correct.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the data given in the question,
Angela + Barry = land
7 corn + 3 peas = land
4 corn + 1 peas = Angela
land = land
Angela + Barry = 7 corn + 3 peas
4 corn + 1 peas + Barry = 7 corn + 3 peas
Barry = 3 corn + 2 peas
Barry = 3:2
To know more about arithmetic operations:
https://brainly.com/question/13585407
#SPJ2
A portion of a hiking trail slopes upward at about a 6° angle.To the nearest tenth of a foot, what is the value of x, thehiker's change in vertical position, if he has traveled a
Answers
In the given right triangle ABC
we have that
[tex]tan(C=\frac{AB}{AC}\text{ ----> by TOA}[/tex]substitute given values
[tex]\begin{gathered} tan(6^o)=\frac{x}{120} \\ \\ x=120*tan(6^o) \\ x=12.6\text{ ft} \end{gathered}[/tex]The answer is the option Bif a || b, m<2=63°, and m<9=105°, find the measure of missing angle m<1=?
Answers
Given:
a.) ∠9 = 105°
b.) ∠2 = 63°
Step 1: Determine the measure of ∠10.
∠9 and ∠10 are Supplementary Angles. This means that the sum of the two angles is equal to 180°.
From this, we generate the following equation:
[tex]\text{ }\angle9\text{ + }\angle10=180^{\circ}[/tex]Let's then now proceed to find out the measure of ∠10.
[tex]\text{ }\angle9\text{ + }\angle10=180^{\circ}[/tex][tex]\text{ }105^{\circ}\text{ + }\angle10=180^{\circ}[/tex][tex]\angle10=180^{\circ}\text{ - }105^{\circ}[/tex][tex]\angle10=75^{\circ}[/tex]Step 2: Determine the measure of ∠3.
∠10 and ∠3 are Alternate Exterior Angles. Under this, the two angles must be congruent.
[tex]\text{ }\angle3\text{ = }\angle10[/tex]Therefore,
[tex]\text{ }\angle3\text{ = }\angle10[/tex][tex]\text{ }\angle3=75^{\circ}[/tex]Step 3: Determine the measure of ∠1.
∠1, ∠2 and ∠3 are also Supplementary Angles. This means that the sum of the three angles is equal to 180°.
Thus, we generate the equation below:
[tex]\text{ }\angle1\text{ + }\angle2\text{ + }\angle3=180^{\circ}[/tex]Let's now find the measure of ∠1,
[tex]\text{ }\angle1\text{ + }\angle2\text{ + }\angle3=180^{\circ}[/tex][tex]\text{ }\angle1\text{ + }63^{\circ}\text{ + }75^{\circ}=180^{\circ}[/tex][tex]\text{ }\angle1\text{ + }138^{\circ}=180^{\circ}[/tex][tex]\text{ }\angle1\text{ }=180^{\circ}\text{ - }138^{\circ}[/tex][tex]\text{ }\angle1\text{ }=42^{\circ}[/tex]Therefore, the measure of ∠1 is 42°.
???????????????????????????????????
Answers
In the first week of July, a record 1,020 people went to the local swimming pool. In the second week, 105 fewer people went to the pool than in the first week. In the third week, 140 more people went to the pool than in the second week. In the fourth week,239 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
Answers
Answer:
Step-by-step explanation:
huhhhhh
Use the model of the rectangular prism to answer the question. The width of the
prism is (2x - 2) ft, and its height is (x + 7) ft. The area of the base of the prism is
(3x2 + 3x - 4) ft².
Could the length of b be (3x - 1) ft? Complete the explanation.
Answers
Answer:
[tex]\textsf{$\boxed{\sf No}$\;. The area of the bottom face of the prism is $(3x^2+3x-4)\; \sf ft^2$, and the product}[/tex]
[tex]\textsf{of $(3x-1)$\;ft\;and $\left(\; \boxed{2}\:x-\boxed{2}\;\right)$ ft\;is\;$\left(\; \boxed{6}\:x^2-\boxed{8}\:x+\boxed{2}\;\right)$\;ft$^2$.}[/tex]
Step-by-step explanation:
Given dimensions of a rectangular prism:
Width = (2x - 2) ftHeight = (x + 7) ftArea of the base = (3x² + 3x - 4) ft²The area of the base of a rectangular prism is the product of the width of the base and the length of the base.
To determine if length b could be (3x - 1) ft, multiply b by the width of the base of the prism.
[tex]\begin{aligned}\implies \sf Area\;of\;base&=\sf length \times width\\&=b \times (2x-2)\\&=(3x-1)(2x-2)\\&=3x(2x-2)-1(2x-2)\\&=6x^2-6x-2x+2\\&=6x^2-8x+2\end{aligned}[/tex]
Therefore, the length of b cannot be (3x - 1) as the area of the base when b is (3x - 1) is not equal to the given area of the base.
[tex]\textsf{$\boxed{\sf No}$\;. The area of the bottom face of the prism is $(3x^2+3x-4)\; \sf ft^2$, and the product}[/tex]
[tex]\textsf{of $(3x-1)$\;ft\;and $\left(\; \boxed{2}\:x-\boxed{2}\;\right)$ ft\;is\;$\left(\; \boxed{6}\:x^2-\boxed{8}\:x+\boxed{2}\;\right)$\;ft$^2$.}[/tex]
Question 1(Multiple Choice Worth 2 points)
(Converting Between Systems MC)
For a craft project you need 182 inches of ribbon, but it is only sold by the meter. Determine the amount of ribbon, in meters, you need to buy for the project. (1 inch = 2.54 centimeters and 1 centimeter = 0.01 meter)
462
47
12
5
Answers
Using the conversion method, 4.6228 meter ribbon we need for craft project.
In the given question,
For a craft project you need 182 inches of ribbon, but it is only sold by the meter.
We have to determine the amount of ribbon, in meters.
As given 1 inch = 2.54 centimeters and 1 centimeter = 0.01 meter.
Firstly we know that inches, meters and centimeters all are units to measure the length.
Since we know that in 1 inch have 2.54 centimeters and 1 centimeters have 0.01 meter.
So we firstly convert the 2.54 centimeters in meter.
1 centimeter = 0.01 meter
2.54 centimeter = 2.54×0.01 meter
2.54 centimeter = 2.54×0.01 meter
2.54 centimeter = 0.0254 meter
So we can say that
1 inch = 0.0254 meter
We have to by 182 inches of ribbon. So
182 inches = 0.0254×182 meters
182 inches = 4.6228 meters
Hence, 4.6228 meter ribbon we need for craft project.
To learn more about conversion of inch and meters link is here
https://brainly.com/question/23665317
#SPJ1
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer: 5.3
Step-by-step explanation:
[tex]-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 5.3 \text{ } (t > 0)[/tex]
25 over 23 as a decimal rounded to the nearest hundredth
Answers
And rounded: 1.09
Answer:
1.09
Step-by-step explanation:
25/23 is the same thing as 25 divided by 23
Once you get answer round to nearest hundreth
Find the measure of 44.
72° 118°
118°
44
44 =
[?]°
Enter
Answers
The measure of angle 4 is 72°
We can observe that we have been given two parallel lines intersected by a transversal.
We need to find the measure of angle 4.
We can observe that angle which measures 72 degrees angle 4 are corresponding Angles.
We know that the Corresponding Angles are congruent.
Therefore, the measure of angle 4 is 72°
Learn more about the Corresponding Angles here:
https://brainly.com/question/1597341
#SPJ1
help meeeeeeeeeeeeeee pleaseeeeeee
Answers
Answer: 9.7 seconds
Step-by-step explanation:
[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]
What is the total surface area ratio of following similar solids?30 mi45 mi60 mi90 mi09:4O 15:6O 5:4O 3:2
Answers
Solid A has five(5) rectangular blocks that are co-joined. The dimension of each, is 45miles by 90miles.
Thus,
[tex]\begin{gathered} Total\text{ surface area=5}\times Area\text{ of one rectangular block} \\ \text{Total Surface Area=5}\times(45\times90) \\ T\mathrm{}S\mathrm{}A=5\times4050 \\ T\mathrm{}S\mathrm{}A=20250mi^2 \end{gathered}[/tex]Solid B has five(5) rectangular blocks that are co-joined. The dimension of each, is 30mi by 60mi.
Thus,
[tex]\begin{gathered} \text{Total Surface Area= 5}\times Area\text{ of one rectangular block} \\ T\mathrm{}S\mathrm{}A=5\times(30\times60) \\ T\mathrm{}S\mathrm{}A=5\times1800 \\ T\mathrm{}S\mathrm{}A=9000mi^2 \end{gathered}[/tex]The ratio of the T.S.A of the similar solids is given below:
[tex]\begin{gathered} T\mathrm{}S\mathrm{}A_{solid\text{ A}}\colon T.S.A_{solid\text{ B}} \\ 20250\colon9000 \\ \text{Divide both by 2250, we have:} \\ 9\colon4 \end{gathered}[/tex]Hence, the correct option is Option A
8) -14x-7y - 18
-6x-3y-6
I need help badly
Answers
I need help with this question. I don’t know how to do this.
Answers
Solution:
The arithmetic sequence is given below as
[tex]19,24,29,34,...[/tex]Step 1:
We will calculate the common difference using the formula below
[tex]\begin{gathered} d=t_2-t_1=t_3-t_2 \\ d=24-19=29-24 \\ d=5 \end{gathered}[/tex]Step 2:
We will calculate the fifth term using the formula below
[tex]\begin{gathered} c \\ n=5,a=19,d=5 \\ t_5=19+(5-1)5 \\ t_5=19+20 \\ t_5=39 \end{gathered}[/tex]We will calculate the sixth term using the formula below
[tex]\begin{gathered} t_n=a+(n-1)d \\ n=6,a=19,d=5 \\ t_6=19+(6-1)5 \\ t_6=19+25 \\ t_6=44 \end{gathered}[/tex]We will calculate the seventh term using the formula below
[tex]\begin{gathered} t_7=a+(n-1)d \\ n=7,a=19,d=5 \\ t_7=19+(7-1)5 \\ t_7=19+30 \\ t_7=49 \end{gathered}[/tex]Hence,
The next three terms of the arithmetic sequence are given below as
[tex]\Rightarrow39,44,49[/tex]