Can you state the exact probability that y will fall between 195 and 205

Answers

Answer 1

The final answer is that there's a 38.29% probability that [tex]$ y $[/tex] will fall between 195 and 205.

Let's break down the calculation step by step.

1. First, we need to determine the mean (average) and standard deviation of the data set. Let's assume we have a normal distribution with a mean (μ) of 200 and a standard deviation (σ) of 10.

2. Next, we'll use the Z-score formula to standardize the values of 195 and 205.

[tex]$ Z = \frac{{X - \mu}}{\sigma} $[/tex]

[tex]For $ X = 195 $:[/tex]

[tex]$ Z_{195} = \frac{{195 - 200}}{10} = -0.5 $[/tex]

[tex]For $ X = 205 $:[/tex]

[tex]$ Z_{205} = \frac{{205 - 200}}{10} = 0.5 $[/tex]

3. After standardizing, we can look up the corresponding probabilities in the standard normal distribution table (Z-table) or use a calculator/tool that provides this information.

4. The Z-table shows that the probability of Z being between -0.5 and 0.5 (inclusive) is approximately 0.3829 (or 38.29%).

So, the exact probability that [tex]$ y $[/tex] will fall between 195 and 205 is 38.29%.

Explanation:

1. We started by identifying the mean and standard deviation of the data set, which are essential parameters for working with normal distributions.

2. Using the Z-score formula, we standardized the values of 195 and 205 to Z-scores, allowing us to compare these values on a standard normal distribution.

3. By referencing the Z-table or using a tool, we found that the probability of Z falling between -0.5 and 0.5 is 0.3829 (38.29%).

4. Therefore, the final answer is that there's a 38.29% probability that [tex]$ y $[/tex] will fall between 195 and 205.

Complete Question:
Can you state the exact probability that y will fall between 195 and 205?

Related Questions

It takes 54 minutes for 4 people to paint 6 walls. How many minutes does it take 6 people to paint 7 walls?

Answers

it takes 35 mins for 6 people to paint 7 walls if you would like this answer described to you let me know please

Answer:

It will take 42 minutes.

Step-by-step explanation:

In order to solve this we first have to calulate how long will it take one person to paint one wall:

54/6=9minutes

That is between 4 people it will take 9 minutes to paint a wall, one person alone supposing they all work at the same rate will take 36 minutes.

Now we just multiply that by the number of walls to be painted:

36*7=252

And we divide that by the number of people painting:

252/6=42

So it will take 42 minutes to paint 7 walls with 6 people painting.

97 cars making up a freight train,56 are boxcars and 41 are not.Find the fraction of the cars that are not boxcars?

Answers

56/97 are boxcars, 41/97 are not boxcars. Neither fraction will reduce, so 41/97 is the correct fraction of cars that are not boxcars.

Please help!!
A road trip of 400 miles require a total of 8 hours to drive. For the first portion of the trip, an average speed of 63 miles per hour was maintained; on the last portion of the trip, the average speed was only 443 miles per hour due to highway construction project. How much time, in hours, to the nearest tenth of an hour, was spent driving at each of the two speeds, and what was the total time for the entire trip?

Answers

2.8 hours at 63 mph 5.2 hours at 43 mph Total time spent driving = 8.0 hours. I'm assuming based upon context that your value of 443 miles per hour is a typo and the correct value is 43 miles per hour. The solution provided is for the two speeds of 63 mph and 43 mph. First make an expression detailing what you know. X = duration spent at 63 mph (8 - X) = duration spent at 43 mph 63X + 43(8-X) = 400 Solve for X 63X + 43(8-X) = 400 63X + 344 - 43X = 400 63X - 43X = 56 20X = 56 X = 2.8 So you spent 2.8 hours at 63 mph and 8-2.8 = 5.2 hours at 43 mph

What is the base 8 representation for 112

Answers

Final answer:

In base 8 (also known as octal), the conversion of the decimal number 112 is done by repeatedly dividing by 8 and considering the remainder. Following this process, the base 8 representation of 112 is 160.

Explanation:

In base 8 (also known as octal), each position in a number represents a power of 8. To convert the decimal number 112 to base 8, we need to determine how many times 8 can fit into 112, along with the remainder.

Here's how we do it:

Divide 112 by 8. The result is 14 with no remainder. There's your first Octal digit, at the least significant digit (rightmost). Now divide the whole number quotient from the previous step (14) by 8. The result is 1 with a remainder of 6. The whole number quotient (1) is the next Octal digit, and keep 6 as the next step's quotient.Finally, you have 1 (from the last step) which can be divided by 8, results in 0 and a remainder of 1. So, the remainder is the final Octal digit, at the most significant digit (leftmost).

So, the base 8 representation for 112 is 160.

Learn more about Base 8 Conversion here:

https://brainly.com/question/30699153

#SPJ12

What is the next letter? YBWDUF

Answers

the pattern looks like it is odd terms go back 2 from the second last letter in the alpha bet.
even terms go forward 2 from the second letter in the alpha bet.
so the answer would be S,H,Q,J

Solve for z in the following equation: 2-3iz = 3 + 2iz$

Answers

2-3iz=3+2iz
-5iz=1
iz=-1/5
z=i/5

Ans.) i/5

The value of 'z' for the given linear equation is [tex]- \frac{1}{5i}[/tex].

What is a linear equation?

A linear equation is an equation where there are one or multiple variables. However, the highest power of any variable is one.

Given linear equation is

[tex]2-3iz = 3 + 2iz[/tex]

⇒ [tex]2iz + 3iz= 2-3[/tex]

⇒ [tex]5iz = -1[/tex]

⇒ [tex]z = \frac{-1}{5i}[/tex]

Learn more about a linear equation here: https://brainly.com/question/11897796

#SPJ2

What is the median of the following string of values?
55, 18, 58, 49, 8, 77, 62, 26, 7, 91

A.55

B.52

C.49

D.58

Answers

the median is 52, so the answer would be B.

Answer:

Option B is correct

The median of the following string of values is 52

Step-by-step explanation:

Median defined as the median is the middle number.

To find the median of the following string of values:

55, 18, 58, 49, 8, 77, 62, 26, 7, 91

Arrange the string of values from least to greatest.

7, 8, 18 , 26, 49, 55, 58, 62, 77, 91

As you can see that we have two numbers, there is no middle number.

Simply, take the mean of the two middle numbers.

then;

Median = [tex]\frac{49+55}{2} = \frac{104}{2} = 52[/tex]

Therefore, the median of the following string of values is 52

The area of a circle is 99 in.² what’s the radius

Answers

The radius is ≈ 5.61in. I hope this helps love! :)

Derivative of sin (x^(1/3)) + (sinx)^(1/3)

Answers

1/3 x^(-2/3) cos (x^1/3) + 1/3(sinx)^-2/3 .cos x

[tex]\bf sin\left( x^{\frac{1}{3}} \right)+[sin(x)]^{\frac{1}{3}}\\\\ -------------------------------\\\\ cos\left( x^{\frac{1}{3}} \right)\cdot \cfrac{1}{3}x^{-\frac{2}{3}}+\cfrac{1}{3}[sin(x)]^{-\frac{2}{3}}\cdot cos(x)\impliedby \textit{chain-ruling both terms} \\\\\\ \cfrac{cos(\sqrt[3]{x})}{3\sqrt[3]{x^2}}+\cfrac{cos(x)}{3\sqrt[3]{sin^2(x)}}[/tex]

The total cost of the fatigato family's two cars was 71,482. The cost of one car was 38,295. Write an equation using a variable to represent the cost of the familys other car.

Answers

The total cost of the cars owned by the Fatigato family can be calculated by adding up the individual cost of the cars. We are given that the family has two cars. The cost of one car is also given. To be able to answer this item, we let x be the missing cost of the other car.

The equation that would best illustrate the given above is,
x + 38295 = 71482

A reel of electrical cable holds 80 metres when full.

3/16 of the reel has been used.

How much cable is there left on the reel?

Answers

I3/I6(8O)= 65m of electrical cable left

If u, v, and w are nonzero vectors in r 2 , is w a linear combination of u and v?

Answers

Not necessarily. [tex]\mathbf u[/tex] and [tex]\mathbf v[/tex] may be linearly dependent, so that their span forms a subspace of [tex]\mathbb R^2[/tex] that does not contain every vector in [tex]\mathbb R^2[/tex].

For example, we could have [tex]\mathbf u=(0,1)[/tex] and [tex]\mathbf v=(0,-1)[/tex]. Any vector [tex]\mathbf w[/tex] of the form [tex](r,0)[/tex], where [tex]r\neq0[/tex], is impossible to obtain as a linear combination of these [tex]\mathbf u[/tex] and [tex]\mathbf v[/tex], since

[tex]c_1\mathbf u+c_2\mathbf v=(0,c_1)+(0,-c_2)=(0,c_1-c_2)\neq(r,0)[/tex]

unless [tex]r=0[/tex] and [tex]c_1=c_2[/tex].

How do I solve this 6x + 3 = 5x + 10

Answers

Subtract 5x from both sides
x+3=10

Subtract 3 from both sides
x=7

Final answer: x=7

Move all terms containing xx to the left side of the equation.Since 5x5x contains the variable to solve for, move it to the left side of the equation by subtracting 5x5x from both sides.6x−3−5x=−56x-3-5x=-5Subtract 5x5x from 6x6x to get xx.x−3=−5x-3=-5Move all terms not containing xx to the right side of the equation.Since −3-3 does not contain the variable to solve for, move it to the right side of the equation by adding 33 to both sides.x=3−5x=3-5Subtract 55 from 33 to get −2-2.x=−2

What number is 100 times as much as 340?

Answers

it would be 34000 cos u basically put 2 zeroes on the end

The answer is 100 x 340= 34,000

8 to the power of x+3=16 to the power of x-1

Answers

8^x+3=16^x+1, 2^3(x+3)=2^4(x+1), 2^3x+9=2^4x+4, same bases. 3x+9=4x+4, 3x-4x=4-9, -x=-5, x=5

[tex]\bf 8^{x+3}=16^{x-1}\qquad \begin{cases} 8=2\cdot 2\cdot 2\\ \qquad 2^3\\ 16=2\cdot 2\cdot 2\cdot 2\\ \qquad 2^4 \end{cases}\implies (2^3)^{x+3}=(2^4)^{x-1} \\\\\\ 2^{3(x+3)}=2^{4(x-1)}\impliedby \begin{array}{llll} \textit{since the bases are the same}\\ \textit{the exponents must also be the same} \end{array} \\\\\\ 3(x+3)=4(x-1)\implies 3x+9=4x-4\implies 9+4=4x-3x \\\\\\ \boxed{13=x}[/tex]

Ivy corporation gave 90 people a bonus. If ivy had given 8 more people bonuses, ivy would have rewarded 2/3 of the workforce. How large is Ivy's workforce?

Answers

Hey! Hope that I can help.

With the info you've given me, I know that 98 people is 2/3 of their workforce. Divide that by 2 to get 1/3, and then multiply that number by 3 to get your answer.

98 / 2 = 49 x 3 = 147
Answer: 147 people

they rewarded 90 folks, if they had made it 98, that'd be 2/3 of their workforce, so hmmm if say 98 is 2/3, how much is the 3/3, or the whole amount?

[tex]\bf \begin{array}{ccll} workers&\stackrel{total}{workforce}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 98&\frac{2}{3}\\\\ x&\frac{3}{3} \end{array}\implies \cfrac{98}{x}=\cfrac{\frac{2}{3}}{\frac{3}{3}}\implies \cfrac{98}{x}=\cfrac{\frac{2}{3}}{1} \\\\\\ \cfrac{98}{x}=\cfrac{2}{3}\implies \cfrac{98\cdot 3}{2}=x\impliedby \textit{total amount of workers}[/tex]

You are at a Carnival .One of the Carnival games ask you to pick a door and then pick a curtain behind the door. There are 3 doors and 4 curtains behind each door.how many choices are possible for the player ?????

Answers

Number of possibilities = number of doors x number of curtains

3x4=12

Therefore, there are 12 possibilities.

There are 12 possible choices for the player.

What is combination?

"It is a way of selecting items from a collection "

What is formula of combination?

"[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]"

What is n factorial?

n! = n × (n - 1) × . . . × 2 × 1

For given question,

There are 3 doors and 4 curtains behind each door.

The number of possible ways of selecting a door from the 3 doors.

Using combination formula,

[tex]^3C_1=\frac{3!}{1!(3-1)!}\\\\ ^3C_1=\frac{3\times 2!}{2!}\\\\ ^3C_1=3[/tex]

The number of possible ways of selecting a curtain from the 4 curtains.

Using combination formula,

[tex]^4C_1=\frac{4!}{1!(4-1)!}\\\\ ^4C_1=\frac{4\times 3!}{3!}\\\\ ^3C_1=4[/tex]

So, the number of choices for the player to pick a door and then pick a curtain behind the door :

[tex]^3C_1\times ^4C_1\\\\=3\times 4\\\\=12[/tex]

Therefore, there are 12 possible choices for the player.

Learn more about combination here:

https://brainly.com/question/13387529

#SPJ3

What is 6,403.5 rounded to the nearest thousand?

Answers

It is 6,000. 6,403.5 rounds down to 6,000. Hope this helps!

Can u plz mark me as brainliest?? I really need it!

2. During a 5-day training at your department, the number of visitors tripled each day. If the training started on a Monday with 345 attendees, what was the attendance on Thursday?

Answers

Monday/345
345×3=
Tuesday/1,035
1,035×3=
Wendsday/3,105
3,105×3
Thursday=9,315

The number of attendance on Thursday would be 9,315.

Given that,

During a 5-day training at your department, the number of visitors tripled each day.

Here, the training started on a Monday with 345 attendees.

Hence, the number of visitors on Tuesday is 3 times with 345 attendees.

That is, On Tuesday;

Number of attendees = 345 x 3

= 1,035

On Wednesday;

Number of attendees = 1,035 x 3

= 3,105

On Thursday;

Number of attendees = 3,105 x 3

= 9,315

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ5

what is 2x+square root x+1=8 solve for x

Answers

[tex]\bf 2x+\sqrt{x+1}=8\implies \sqrt{x+1}=8-2x\quad \leftarrow \textit{now we square both sides} \\\\\\ (\sqrt{x+1})^2=(8-2x)^2\implies x+1=8^2-32x+(2x)^2 \\\\\\ x+1=64-32x+2^2x^2\implies x+1=64-32x+4x^2 \\\\\\ 0=4x^2-32x-x+64-1\implies 0=4x^2-33x+63 \\\\\\ 0=(4x-21)(x-3)\implies \begin{cases} 0=4x-21\\ 21=4x\\\\ \boxed{\frac{21}{4}=x}\\ --------\\ 0=x-3\\ \boxed{3=x} \end{cases}[/tex]

Hello,

On my keybord i have no touch "square root (√)" but "V" yes .

[tex]2x+ \sqrt{x+1} =8\\ \sqrt{x+1} =8-2x\\ x+1=(8-2x)^2\\ x+1=64-32x+4x^2\\ 4x^2-33x+63=0\\ x= \frac{21}{4} \ or\ x=3\\ [/tex]

Verification:
if x=3 then 2*3+√(3+1)=6+2=8

if x=21/4 then 13≠8 is to exclude.

The distance d that a certain particle moves may be calculated from the expression d = at + bt2 where a and b are constants; and t is the elapsed time. what must the dimensions of the quantities a and b be, respectively?

Answers

Guven that the distance d that a certain particle moves may be calculated from the expression [tex]d = at + bt^2[/tex] where a and b are constants; and t is the elapsed time.

Distance is a length and hence the dimension of distance is L.

Now, [tex]at[/tex] and [tex]bt^2[/tex] also will have the dimension of L.

Time has a dimension of T.

For [tex]at[/tex], let the dimension of [tex]a[/tex] be [tex]X[/tex], then
[tex]XT=L \\ \\ \Rightarrow X=\frac{L}{T}[/tex]

For [tex]bt^2[/tex], let the dimension of [tex]b[/tex] be [tex]Y[/tex], then
[tex]YT^2=L \\ \\ \Rightarrow Y= \frac{L}{T^2} [/tex]

Therefore, the dimension of [tex]a[/tex] is [tex]\frac{L}{T}[/tex] while the dimension of [tex]b[/tex] is [tex]\frac{L}{T^2}[/tex].

f(x)= 2x-3x^2 evaluate f(-3)
A. -33
B. 6
C. 33
D. -21

Answers

f(-3) = 2(-3) - 3(-3)²
f(-3) = -6 - 3(9)
f(-3) = -6 - 27
f(-3) = -33

-0.7 repeating as a decimal in simplest form

Answers

hello :
- 0.7 = - 7/10

HELLLLPPPPP MMMEEEEE!

Answers

you have 2 angles given 50 and 110

50+110 = 160

so 180-160 = 20

A = 20 degrees

Use Cramer's Rule to solve the following system: –2x – 6y = –26 5x + 2y = 13

Answers

[tex]\bf \begin{cases} -2x-6y&=-26\\ \quad 5x+2y&=13 \end{cases}\stackrel{\textit{determinant of the coefficients}}{D= \begin{bmatrix} -2&-6\\5&2 \end{bmatrix}}\implies (-4)-(-30) \\\\\\ D=-4+30\implies \boxed{D=26}\\\\ -------------------------------\\\\[/tex]

[tex]\bf x=\cfrac{D_x}{D}\implies x=\cfrac{ \begin{bmatrix} \boxed{-26}&-6\\\\ \boxed{13}&2 \end{bmatrix}}{D}\implies x=\cfrac{(-52)-(-78)}{26} \\\\\\ x=\cfrac{-52+78}{26}\implies x=\cfrac{26}{26}\implies \boxed{x=1}\\\\ -------------------------------\\\\ y=\cfrac{D_y}{D}\implies y=\cfrac{ \begin{bmatrix} -2&\boxed{-26}\\\\ 5&\boxed{13} \end{bmatrix}}{D}\implies y=\cfrac{(-26)-(-130)}{26} \\\\\\ y=\cfrac{-26+130}{26}\implies y=\cfrac{104}{26}\implies \boxed{y=4}[/tex]

What is the common ratio for this geometric sequence?

Answers

Answer is c 3 because it is multiplied 3 everytime

Answer:

Common ratio for the sequence is 3

Step-by-step explanation:

Given sequence is

5, 15, 45, 135,.....

To find out common ratio, divide the second number by the first number

[tex]\frac{15}{5} =3[/tex]

[tex]\frac{45}{15} =3[/tex]

[tex]\frac{135}{45} =3[/tex]

we got 3 that is our common ratio 3

Common ratio for the sequence is 3

The floor of a one-story building is 14 feet longer than it is wide. The building has 1715 square feet of floor space. Find the length l and width w of the floor.

Answers

w=widthlength=w+14A=lww(w+14)= 1395w(w+14)-1395=0w2+14w-1395=01395=3x3x5x31 and (3x3x5)-31=45-31=14(w+45)(w-31)=0w-31=0w=31w+14=31+14=45length=45 feetwidth=31 feet

Final answer:

To find the floor dimensions of a building that is 14 feet longer than it is wide with an area of 1715 sq ft, we solve the quadratic equation w * (w + 14) = 1715, resulting in w=100 feet and length l=114 feet.

Explanation:

The student is asked to find the length (l) and width (w) of a one-story building floor which is 14 feet longer than it is wide, with a total area of 1715 square feet. To solve this, we set up an equation where w represents the width and w + 14 feet represents the length. Since the area of a rectangle is length times width, the equation is w * (w + 14) = 1715.

After solving this quadratic equation, we find that w=100 feet which makes the length l = w + 14 = 114 feet. Therefore, the actual dimensions of the building are 114 ft by 100 feet.

You and your brother are readibg the same novel you wnat to get ahead of him in the book so you decide to read 30 minutes longer than your brother reads how many minutes will you read if your brother reads for 15 minutes

Answers

45 minute 30+15= 45 easy

Answer:

45 minute 30+15= 45 easy

Step-by-step explanation:

water weighs about 8.34 pounds per gallon. About how many ounces per gallon is the weight of the water?

Answers

Use a conversion factor and turn pounds to ounces. 1 pound = 16 ounces so
[tex] \frac{8.34pounds}{gallon} \times \frac{16 ounces}{ 1 pound} =133.44 \frac{ounces}{gallon} [/tex]

The team manager mixes 0.6 kg of Gatorade powder with water in the 5-gallon water coolers for the football team. Gatorade donates new 7-gallon water jugs. How much powder should the manager use in a new 7-gallon cooler to maintain the same Gatorade mixture?

Answers

Since it's 0.6 kg for 5 gallons, we'd want to find the unit rate aka the amount of kg's per gallon. To find that, we have to see how many times 5 goes into 0.6, which is 0.6/5=0.12 for 1 gallon. Multiply that by 7 to get 0.84 for 7 gallons!

Other Questions

How is the principle of popular sovereignty reflected in the Declaration of Independence or the Articles of Confederation? with examples from the documents. A sentence with an indirect object must also have Evaluate the exponential function (x) = 8x + 1. What is 8.63 repeating as a fraction? An area in the _______ called the ___________ is specialized to recognize faces.a. occipital lobe; rbcb. temporal lobe; ffac. parietal lobe; ffad. parietal lobe; area 4h What did the farmer say was the object of the anti federalists? What is the genre of the dog and his shadow ? Which one of these is the most different? javascript php ruby python mysql? what is -0.38,-3/8,-0.04 in order from least to greatest Which statement regarding pop culture is incorrect?a. Pop culture is heavily influenced by mainstream mass mediab. pop culture focuses on localized traditions and customsc. Pop culture is a product of industrial societyd. Pop culture presents the argument that a society is becoming a melting pot. A sporting goods manufacturer designs a golf ball having a volume of 2.48 cubic inches.What is the radius of the golf ball?If the ball's volume can vary between 2.45 cubic inches and 2.51 cubic inches, how can the radius vary?identify epsilon and limit True or false: under collective decision making, individuals can communicate their preferences to decision makers both directly through communication and indirectly through their choice of whom to transact with. Which umber is greater? Square root of 220 or 14 3/4? Who were the indians that columbus met at san salvador? Ivan IV is given the credit for creating _______.a.St. Petersburgb.the class known as serfsc.socialismd.the establishment of the Eastern Orthodox Church Plz help! Convert 6/9 into fractions with a denominater of 27 A. 6/7 B.21/27 C. 9/27 D.18/27 Describe the anatomical position. why might it be confusing if we did not use this position as a reference point? Which type of memory is used as the working storage space of the computer? What is an observation?Question 1 options:A) A question asked by a scientistB) When a person reads somethingC) Anything that uses graphs and chartsD) Information that is gathered by the five senses What is the answer to Violet has 11 rolls of pennies there are 50 pennies in each roll how many pennies does violet have all together Steam Workshop Downloader