Tori is cutting fabric squares to make a quilt. Her squares on average are 5 in. on each side with a standard deviation of 0.1 in. If her cuts are normally distributed, what percentage of her squares would be between 4.9 and 5.1 in?

Answers

Answer 1

Answer:

[tex]\approx 68\%[/tex]

Step-by-step explanation:

For normal distributions only, all data falls within approximately 68% of one standard deviation, 95% of two standard deviations, and close to 100% of three standard deviations. The standard deviation is far too small to represent two or three standard deviations, hence [tex]\implies \boxed{68\%}[/tex].

*Important: This problem would be unsolvable if the question did not say her cuts were normally distributed, because the information above is only applicable to normal distributions.

Answer 2

Answer:

68.26%

Step-by-step explanation:

Given:

Mean μ = 5 inStandard deviation σ = 0.1 in

The squares between 4.9 and 5.1 represent:

x = 5 ± 0.1

Relevant z- scores are:

z = (x - μ)/σz = (5.1 - 5)/0.1 = 1z = (4.9 - 5)/0.1 = -1

From the z-score table we get:

z = 1 ⇒ 84.13% markz = -1 ⇒ 15.87% mark

The data between these points is:

84.13% - 15.87% = 68.26%


Related Questions

Which equation is a function of x?

Answers

Answer:

X=5

x=y2+9

x2=y

x2=y2+16

Step-by-step explanation:

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

What type of polynomial is: 2x - 4x^3 - 7 + 6x^2
A. quadratic
B. linear
C. quartic
D. cubic

Answers

Answer:

Option D

Step-by-step explanation:

Given polynomial :-

=> 2x - 4x³ -7 + 6x²

Here the highest degree of variable is 3 ,

Therefore it is a cubic polynomial .

Draw the two lines y = 2x + 2/3, and y = 2x + 1/3. They are parallel a

Answers

Answer:

Two line are perpendicular when they are at right angles to each other.

The red line is perpendicular to the blue line in each of these examples:

Perpendicular Example

Step-by-step ex;planation:

A timer is started as a ball is dropped from a certain height and its velocity measured. After 0 seconds, the ball is falling at 0 feet per second. After 2 seconds, the ball is falling at 64 feet. After 3 seconds, the ball is traveling at 96 feet and after 4 second the ball is traveling 128. Is this a proportional relationship?

Answers

Answer:

yes

because the descent of the ball is 32m per second

Step-by-step explanation:

To determine if the relationship is proportional, determine the descent of the ball per second

after 2 seconds = 64 / 2 = 32

after3 seconds = 96/3 = 32

after 4 seconds = 128 / 4 = 32

the relationship is proportional

3(x-1)≤ ½(x+1) -6. Topic is Linear inequalities ​

Answers

Answer:

[tex]x\le \:-1[/tex]

Step-by-step explanation:

[tex]3\left(x-1\right)\le \frac{1}{2}\left(x+1\right)-6[/tex]

[tex]3x-3\le \:-\frac{11}{2}+\frac{1}{2}x[/tex]

[tex]3x\le \:-\frac{5}{2}+\frac{1}{2}x\\[/tex]

[tex]\frac{5}{2}x\le \:-\frac{5}{2}[/tex]

[tex]5x\le \:-5[/tex]

[tex]x\le \:-1[/tex]

x = -1

3(-2) ≤ ½(0) - 6

-6 ≤ 0 - 6

-6 ≤ -6

This is true.

x = -2

3(-3) ≤ ½(-1) - 6

-9 ≤ -½ - 6

-9 ≤ [tex]-\frac{13}{2}[/tex]

This is also true.

Therefore, x ≤ -1.


2. A carpenter wants to cut a wood board that is feet long
d on
5
into pieces that are feet long. How many whole pieces
can be cut from the board? How much wood is left over
16

Answers

Answer:

2 whole pieces

5/24 feet left

Step-by-step explanation:

divide 5/6 by 5/16 = 2 2/3 pieces

so there are 2 whole pieces and 2/3 small piece.

The 2/3 small short equals to 5/16 x 2/3 = 5/24 ft

Question 2 of 10
A rectangle's width is 5 feet less than its length. Write a quadratic function
that expresses the rectangle's area in terms of its length.
O A. A(1) = lw
B. A(1)=12 + 51
C. All) = w(w+5)
O D. All) = 12 - 51

A rectangle's width is 5 feet less than its length. Write a quadratic function
that expresses the rectangle's area in terms of its length.
O A. A(1) = lw
B. A(1)=12 + 51
C. All) = w(w+5)
O D. All) = 12 - 51

Answers

I don’t know if you meant to post the same question twice but the answer is C

I have 2 possible answer, but I don't know which one. Help please.

Answers

Answer:

X=120

Step-by-step explanation:

It is an equalateral so all the angles in the middle are the same all being 60

The angle of a straight line is 180

So just minus 60 from 180 to get 120

180-60=120

Find x in circle O. Figure is not drawn to scale. HURRY PLEASE

Answers

Answer:

B. 23,5

Step-by-step explanation:

The list shows the number of points Emma scored in eight basketball games.
5, 11, 9, 9, 4, 5, 6, 7
Find the mean.

Answers

Answer:

Mean = 7

Step-by-step explanation:

Given the following data;

Number of games = 8

Scores = 5, 11, 9, 9, 4, 5, 6, 7

We would sum all the scores together to get a total score.

Total scores = 5 + 11 + 9 + 9 + 4 + 5 + 6 + 7 = 56

Now, to find the mean;

[tex] Mean = \frac {total \; scores}{number \; of \; games} [/tex]

Mean = 56/8

Mean = 7

Answer:

7 is the mean score.

Step-by-step explanation:

Now we have to,

→ find the required mean score.

The given scores are,

→ 5, 11, 9, 9, 4, 5, 6, 7

→ Numbers = 8

Then the mean score will be,

→ (5 + 11 + 9 + 9 + 4 + 5 + 6 + 7)/8

→ 56/8 = 7

Hence, the mean score is 7.

PLEASE I NEED HELP!!!!

Answers

Q. Determine if the rates are equilvalent. Explain your reasoning. 25 hours in 5 days; 8 hours in 2 days. . .

[tex] \dashrightarrow [/tex] No!, as, we have 25 hours in 5 dyas is the equals to 5. While, 8 hours in 2 days is equals to 4.

Here, is a difference of 1 in 5 and 4.

plz any one here to follow me plz tellme any one ?​

Answers

I’ll follow you, but on what?



ig?
No hjjjjghk punctuating

Sienna is determining the solution 6b + 12 = 102 A:15 B:17 C:90 D:102​

Answers

A.15
102-12=90
90/6=15

Line l has a slope of −3. The line through which of the following pair of points is perpendicular to l?

Answers

Answer:

The slope of the perpendicular line will 1/3.

Step-by-step explanation:

a girl 65 marks out of 80. What percent mark did she have?​

Answers

Answer:

the marks obtained by a girl in percentage is 81. 25%

Answer:

81.25%

Step-by-step explanation:

100 (65/80)

Increase 14187.13 by 14.5

Answers

Answer:

14201.63

Step-by-step explanation:

14187.63

+   14.50

=14201.63

Simplify (5np3)3
Question shown as picture

Answers

Answer:

[tex]125 {n}^{3} {p}^{9} [/tex]

Question Progress
Homework Progress
8/17 Marks
91%
Find the Lowest Common Multiple of 3, 5 and 6.​

Answers

30 I think! Hope this helps!

Brenya Estate produces a high quality tea branded Super by blending three types of tea coded A, B and C in the ration 1: 5:1. Originally Type A tea costs GHS 1,600 type B costs GHS 800 and type C costs GHS 1,700 per kg to produce. Brenya Tea Estate packs Super tea in packets of 825g each. Blending and packing costs are 40 per kg. Determine the production cost for a packet of Super tea,

Answers

Solution :

Cost of 1 kg super tea mixture

[tex]$=\frac{1(1600)+5(800)+1(1700)}{1+5+1}$[/tex]

[tex]$=\frac{1600+4000+1700}{7}$[/tex]

[tex]$=\frac{7300}{7}$[/tex]

= 1042.8

≈ 1043

Include of cost blending and packaging.

So, cost of 1 kg is 1043 + 40 = 1083

Cost of packaging of 825 gram super tea = [tex]$\frac{825}{1000} \times 1083$[/tex]

                                                                     = 893.47

4g+1 5 − G−7 4 = 2g−5 10

Answers

The answer is g=-7 hope it helps

if you apply the changes below to the linear parent, f(X)=x, what is the equation of the new function vertically stretch by multiplying by 3. flip over the x-axis

Answers

Answer:

f(x) = -3x

Step-by-step explanation:

f(x) = -3x

A ride-share company has a fee that includes a fixed cost and a cost that depends on both the time spent travelling, in minutes, and the distance travelled, in kilometres. The fixed cost of a ride is $2.55 Judy's ride costs $16.75 and took eight minutes. The distance travelled was 10 km. Pat's ride cost $30.35 and took 20 minutes. The distance travelled was 18 km. Roy's ride took 10 minutes. The distance travelled was 15 km. Find the cost of Roy's ride.

Answers

Answer:

the cost of Roy's ride is $23.05

Step-by-step explanation:

According to the Question,

Let, Cost of per minute charge is 'x' & Cost Of Per Kilometre charge is y .

Given, A ride-share company has a fee of the fixed cost of a ride is $2.55 .And, The Total cost of the Ride depends on both the time spent on travelling(in minutes), and the distance travelled(in kilometres) .

⇒ Judy's ride costs $16.75 . but the actual cost after deducting the fixed charge is 16.75-2.55 = $14.20, took 8 minutes & The distance travelled was 10 km. Thus, the equation for the journey is 8x+10y=14.20 ⇒ Equ. 1

⇒ Pat's ride costs $30.35 . but the actual cost after deducting the fixed charge is 30.35-2.55 = $27.80, took 20 minutes & The distance travelled was 18 km. Thus, the equation for the journey is 20x+18y=27.80 ⇒ Equ. 2

Now, on Solving Equation 1 & 2, We get

x=0.4(Cost of per minute charge) & y=1.1(Cost Of Per Kilometre charge)

Now, Roy's ride took 10 minutes & The distance travelled was 15 km . Thus, the cost of Roy's Ride is 10x+15y ⇔ 10×0.4 + 15×1.1 ⇔ $20.5

Hence, the total cost of Roy's ride is 20.5 + 2.55(fixed cost) = $23.05

Marcos decide abrir una cuenta de ahorro para financiar en el futuro los estudios de su hijo recien nacido. Por suerte, el banco le ofrecio la tasa de interes anual de 4,8%. El monto que deposito Marcos en la cuenta fue de $1000 000.Si no retira el dinero ni los intereses, ¿que capital tendra a los 5 años? ¿que capital tendra cuando su hijo cumpla 18 años?

Answers

Answer:

Resultados debajo

Step-by-step explanation:

Dada la siguiente información:

Tasa de interes anual (i)= 4,8%

Inversión inicial (VP)= $1.000.000

Para calcular el valor final (VF), debemos usar la siguiente formula:

VF= VP*(1 + i)^n

Para 5 años:

VF= 1.000.000*(1,048^5)

VF= $1.264.172,72

Para 18 años:

VF= 1.000.000*(1,048^18)

VF= $2.325.429,02

Determine the value of a so that x1-3x3=-3 2x1+ax2-x3=-2 (i)unique solution(ii)no solution(iii)many solutions

Answers

Answer:

(i)unique solution

Explanation:

We solve for x1 thus in the first equation:

x1-3x3=-3

x1-9=-3

x1=-3+9

x1= 6

We solve for a thus in the second equation:

2x1+ax2-x3=-2

2+a2-x3=-2

a2-x3=-4

a2=-4+x3

find the compound ratio of the following

a) 2/15 : 3/7 and 5/8 : 14/27

please help me
give in step by step​​

Answers

Answer:

1/12 : 2/9

Step-by-step explanation:

Compound ratio is the multiplication of the ratios:

2/15 : 3/7 and 5/8 : 14/27

Multiply to get:

(2/15*5/8) : (3/7*14/27) = 1/12 : 2/9

Given ratios,

2/15 : 3/7 and 5/8 : 14/27

Then to find the compound ratio,

We have to multiply,

→ (2/15 × 5/8) : (3/7 × 14/27)

→ 10/120 : 42/189

Now simplify the ratio,

→ 1/12 : 2/9

Thus, required ratio is 1/12 : 2/9.

How do I solve this? (3^0y)^2x2(xy)^0

Answers

Answer:

(y ^2 ) (x ^2)

Step-by-step explanation:

A student multiplied 4986 by 45 instead of multiplying by 54. By how much was his answer greater than the correct answer? Mention the property used.

Answers

Answer:

So, the difference is 44874.

Step-by-step explanation:

Multiplication of 4986 by 45

= 4986 x 45 = 224370

Multiplication of 4986 by 54

= 4986 x 54 = 269244

So, the difference in results is

= 269244 - 224370 = 44874

Given that y is directly proportional to x. If y = 30 and x= 5, write an equation that connects y with x.

Answers

Answer: y = 6x

Step-by-step explanation:

Since this is a direct proportion, we will introduce the constant of proportionality here and this will be:

y = kx

Since y = 30 and x= 5,

30 = 5 × k

30 = 5k

k = 30/5

k = 6

Therefore, the equation that connects y to x will be:

y = kx

y = 6x

The equation that connects y to x is y = 6x.

On the image below, which is the correct answer?

Answers

Answer:

d

Step-by-step explanation:

its the correct answer

Hope this helps:)

Keegan deposited $700 into his bank account. After one year, his bank account balance was $761.60. What interest rate did he earn?

Answers

Answer:

8.8%

Step-by-step explanation:

We first divide the new amount by the original and close it with brackets.

Our one year will be shown as 1/1 as an indices

(761.60/700)^1/1

= 1.088

We then convert it to 0.088 and times it by 100.

0.088×100= 8.8% Compound interest rate.

This is correct as:

700×1.088= 761.6

Have a nice day! :)

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