set of data has a normal distribution with a mean of 56 and a standard deviation of 7. Find the percent of data within the following interval.
from 35 to 77

SOMEONE PLEASE HELP

Answers

Answer 1

Answer:

.99815

which is about

99.815%

Step-by-step explanation:

we are looking for 35<x<77

We need to find (what I think is called) the z score which is acheieved through what I'm pretty sure is called standardizing

What we do is subtract the mean and then divide by the standard deviation

so for 35 we have

(35-56)/7= -3.29

due to the fact that the normal distribution is symmetric this is equal to 1-p(3.29)

to find p(3.29) grab a ztable and get p(3.29)= .9995

1-.9995= .0005

For 77 we have

(77-56)/7=3

grab a ztable and find the 3= .99865

Finally subtract these two to get the final answer

.99865-.0005= .99815


Related Questions

Given a circle with a center at (-3.1) and a radius of 4, is the point (1,-2) inside,
outside or on? Show all work for your proof.

Answers

Answer:

Step-by-step explanation:

distance between center and (1,-2) is

[tex]d=\sqrt{(1-(-3))^2+(-2-1)^2} \\=\sqrt{16+9} \\=5>4\\[/tex]

distance of the point from the center>radius of circle.

So it lies outside the circle.

PLZ HELP ANY GUESS WOULD HELP

Answers

Answer:

1st onne I believe I couldd be wrong but thats what I got

Step-by-step explanation:

What is the value of x in the triangle?

Round your final answer to the
nearest hundredth

Answers

Given:

In a right angle triangle,

Hypotenuse = 25 cm

Base = x

Angle between base and hypotenuse = 18 degrees.

To find:

The value of x.

Solution:

In a right angle triangle,

[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]

In the given right triangle,

[tex]\cos (18^\circ) =\dfrac{x}{25}[/tex]

[tex]\cos (18^\circ) \times 25=x[/tex]

[tex]0.9510565 \times 25=x[/tex]

[tex]23.7764125=x[/tex]

Round the answer to the nearest hundredth (two decimal).

[tex]x=23.78[/tex]

Therefore, the value of x is about 23.78 cm.

. A study was conducted to evaluate the relationship between artificial sweeteners and bladder cancer. 3,000 cases and 3,000 controls were enrolled in the study. Among the cases, 1293 had used artificial sweeteners in the past, while 1707 had never used artificial sweeteners. Of the controls, 855 had used sweeteners and 2145 had not. a. What is the exposure and what is the disease

Answers

Answer:

Exposed group has 2 times the odds of bladder cancer than not exposed group based on our odds ratio.

The disease is bladder cancer.

Explanation:

Calculate odds for exposed group =

1293 with bladder cancer had used artificial sweeteners in the past/

855 without bladder cancer had used sweeteners= 1.51

Calculate odds for not exposed group=

1707 with bladder cancer had never used artificial sweeteners/ 2145 without bladder cancer had never used artificial sweeteners=0.795

Odds ratio=odds for exposed group/odds for not exposed group

= 1.51/0.795

= 1.899

Therefore exposed group has two times the odds of bladder cancer than not exposed group.

Given m || n, find the value of x and y

Answers

X = 21

Y = 30

X:

(3x - 15) + (6x + 6) = 180 -- combine like terms

9x - 9 = 180 -- add 9 to both sides

9x = 189

x = 21

Y:

Plug x into 3x-15

3(21) - 15 = y + 18

63 - 15 = y + 18

48 = y + 18 -- subtract 18 from both sides

y = 30

help help help help help

Answers

Answer:

x = 4.4

Step-by-step explanation:

cos theta = adjacent side / hypotenuse

cos 24 =  y/x

cos 24  = 4/x

x cos 24 = 4

x = 4/cos 24

x =4.378545114

Rounding to 1 decimal place

x = 4.4

Answer:

x=4.4cm

Step-by-step explanation:

We can use cosine to find x as we're given y (adjacent) and the angle. This is also a right triangle.

cos24=4/x

x=4/cos24

x=4.4

Write the equation of the line passing through the points (-4,6) and (-6,4).

Answers

Answer:

y=x +10

Step-by-step explanation:

answer is in photo above

Answer:

y = 1x + 10

Step-by-step explanation:

y2 - y1 / x2 - x1

4 - 6 / -6 - (-4)

-2 / -2

= 1

y = 1x + b

4 = 1(-6) + b

4 = -6 + b

10 = b

Determine the value of”k” when the lines y=k/3x+2 and y=1/4x+2 are perpendicular.

Answers

Answer:

k = -12

Step-by-step explanation:

When lines are perpendicular, their slopes are the opposite reciprocal of each other.

The opposite reciprocal of [tex]\frac{1}{4}[/tex] is -4

[tex]\frac{k}{3}=-4[/tex]

k = -12

What is the following product?
3/24 • 3/45

Answers

Answer:

6(³√5)

Step-by-step explanation:

³√24×45=6(³√5)

hope my answer helps!

15/25 = y/30. Solve for y.

Answers

15/25= y/30

y= 3/5×30

y= 3×6

y=18

THE ANSWER IS Y=18

Answer:

y = 6

Step-by-step explanation:

One way of doing this problem is to start by reducing the first fraction, 5/25, obtaining 1/5.  Then

 1       y

---- = -----

  5    30

Through cross-multiplication, we get 5y = 30, or y = 6

Which of the following is the equation of the line in slope-intercept form that has a slope of -2 and
passes through the coordinate (4, 1)?
A) y = –2x - 7
B) y -1 = -2(x - 4)
C) y = -2x + 9
D) y = -2x

Answers

Answer:

c). y = -2x + 9

Step-by-step explanation:

y = -2x + b

1 = -2(4) + b

1 = -8 + b

9 = b

(3a+b)³ please help me​

Answers

Answer:

[tex]27a^{3} +27a^{2}b+9ab+b^{3}[/tex]

Step-by-step explanation:

[tex](3a+b)(3a+b) = 9a^{2}+6ab+b^{2}\\(9a^{2}+6ab+b^{2})(3a+b) = 27a^{3} + 27a^{2}b +9ab^{2} +b^{3}[/tex]

Answer:

Step-by-step explanation:

9a^3+18a^2b+9ab^2+b^2

Write an equation that passes through the points (3, 6) and (1,-1)

Answers

Finding gradient:

m = y2 - y1
x2 - x1

= -1 - 6
1 - 3

= -7 / (-2)
= 7/2

y = m(x - x1) + y1
y = 7(x - 3) + 6
2
2y = 7x - 21 + 12
2y = 7x - 9

Answer:

y = 7/2x - 9/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - 6 / 1 - 3

-7 / -2

7/2

y = 7/2x + b

-1 = 7/2(1) + b

-1 = 7/2 + b

-9/2 = b

Help pls and thank uu

Answers

Answer:

f(- 4) = - 4

Step-by-step explanation:

f(- 4) with x = - 4 gives f(- 4) = - 4

7.
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function h=-16t^2+36t+9. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball’s maximum height?

A. 1.13 s; 69.75 ft

B. 1.13 s; 29.25 ft

C. 2.25 s; 9 ft

D. 1.13 s; 31.5 ft

Answers

Answer:

The answer is 1.13;29.25

Step-by-step explanation:

Answer: The ball reaches its maximum height in 1.13 seconds. b) The ball's maximum height is 30.25 feet.

This sort of problem is solved easily by a graphing calculator.

a) The ball reaches its maximum height in 1.13 seconds.

b) The ball's maximum height is 30.25 feet.

_____

Since you want to know when and where the peak value of the function occurs, it is convenient to put it into vertex form.

 h = -16(t² -(9/4)t) + 10

 h = -16(t² -(9/4)t +(9/8)²) +10 +16(9/8)²

 h = -16(t -9/8)² + 10 + 81/4

 h = -16(t -9/8)² + 30 1/4

The vertex of the function is (9/8, 30 1/4) ≈ (1.13, 30.25).

h = -16t^2 + 36t + 9

At maximum height h' = 0,

h' = -32t + 36 = 0

32t = 36

t = 36/32 = 1.13 s.

Maximum height = -16(1.125)^2 + 36(1.125) + 9 = 29.25 ft

Answer is option d (1.13 s, 29.25 ft)

The answer is 1.13;29.25

what is the scale factor from ABC to DEF?​

Answers

Answer:

C

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, so

scale factor = [tex]\frac{EF}{BC}[/tex] = [tex]\frac{11}{66}[/tex] = [tex]\frac{1}{6}[/tex] → C

Can someone Help me?

Answers

The Answer: C I did this yesterday

Step-by-step explanation:

Ms. Lesure is going to buy lunch for Mr. Shows Interactions A class. How many whole pizzas would she need to buy (assume each pizza has 8 slices) assuming there are 10 boys and 8 girls and the boys will eat 2 slices each and the girls will eat 1.5 slices each?

Answers

Answer:

Ms. Lesure is going to need to buy 4 pizzas for Mr. Shows Interactions A class. The boys would eat 20 slices and the Girls in total will eat 12 slices. In total you'll need about 32 slices and 32 divided by 8 is 4.

Step-by-step explanation:

Mike graphed an exponential growth function that has a y-intercept of 5.
Which of the following functions did Mike graph?
a) y = 2^5x
b) y= 5(2^x)
c) y= 2^x +5
d) y= 2^x-5

Answers

The answer is d) y= 2^x-5

Pls help right now for 30 points

Answers

Use the edges of the triangles to determine which ones are closest together for the smallest of furthest apart for the largest.

1. Smallest = b

Largest = c

2. Smallest = f

Largest = g

The ratio of boys to girls in a class is 5:4. There are 36 Students in the class.How many students are girls

Answers

Answer:

16

Step-by-step explanation:

let boys equal to 5x

and girls equal to 4x

so 4x+5x=36

X=4

so boys are 5*4

boys are 20

and girls are 16

so boys are 4 more than girls

Answer:

16 girls

Step-by-step explanation:

boys : girls : total

5          4        5+4 = 9

take the total number of people and divide by 9

36/9 = 4

Each number should be multiplied by 4

boys : girls : total

5*4        4*4     9*4

20          16        36

There are 16 girls

How do the perimeters of the triangles compare? Original: height-18, slant-30, length-24 Scaled: height-6, slant-10, length-8 A) the scaled triangles perimeter is 3x's larger than the original triangles perimeter. B) the scaled triangles perimeter is 6x's smaller than the original triangles perimeter C) the scaled triangles perimeter is 1/9 the size of the original triangles perimeter D) the scaled triangles perimeter is 1/3 the size of the original triangles perimeter

Answers

Answer:

D) the scaled triangles perimeter is 1/3 the size of the original triangles perimeter

Step-by-step explanation:

Given

Original:

[tex]Height = 18, Slant = 30, Length =24[/tex]

Scaled:

[tex]Height =6, Slant=10, Length=8[/tex]

Looking at the dimension of both triangles, The relationship between the original and the scaled copy is:

[tex]Scaled = \frac{1}{3} * Original[/tex]

Hence, the perimeter is:

[tex]Perimeter (Scaled) = \frac{1}{3} * Perimeter (Original)[/tex]

Describe fully the transformation that maps shape a and b

Answers

Answer:

Rotate 90' clockwise Centre (-2, -2)

if you mean A onto B

The figure shown is composed of a right rectangular prism attached to a right triangular
prism. The surface area of the figure is 130 cm?
What is the value of n, in centimeters?
n cm
4 cm
2 cm
Use the number pad to enter your answer in the box.
5 cm
cm
5 cm
4 cm

Answers

9514 1404 393

Answer:

  n cm = 3 cm

Step-by-step explanation:

The total surface area is the sum of the base areas and the lateral area. The base areas are the sum of the areas of the rectangle and triangle that define the shape of the base.

The rectangle has dimensions 5 cm by n cm. The triangle is 5-2 = 3 cm high and 4 cm at the base. Then the front face area is ...

  A = lw + 1/2bh

  A = (5 cm)(n cm) +1/2(4 cm)(3 cm) = (6 +5n) cm²

The lateral area is the product of the perimeter of the base and the depth of the prism.

  A = Ph

  A = (5 cm + n cm + 2 cm + 5 cm + 4 cm + n cm)(4 cm) = (64 +8n) cm²

The total surface area is the sum of the areas of the two bases and the lateral area:

  130 cm² = 2(6 +5n) cm² +(64 +8n) cm²

  130 = 76 +18n . . . . . . divide by cm², collect terms

  54 = 18n . . . . . . . . . subtract 76

  3 = n . . . . . . . . . . divide by 3

The value of n in centimeters is 3 cm.

The refractive index of benzene with respect to air is 1.5 and that of ruby with respect to air is 1.71. What will be the refractive index of benzene with respect to ruby?

Answers

Answer:

With respect to air, the refractive indices of water and benzene are 1.33 and 1.50 respectively

The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00. Write a function to represent this scenario. Which graph represents this wage increase for x < 12? ​

Answers

你有國際觀年內開通農委會可歌可泣欸哭哭哭哭我是很懊惱與農會選舉口號欸人民卻是誰肯欸哭鬧我口口聲聲可輕鬆過關你有國際觀年內開通農委會可歌可泣欸哭哭哭哭我是很懊惱與農會選舉口號欸人民卻是誰肯欸哭鬧我口口聲聲可輕鬆過關你有國際觀年內開通農委會可歌可泣欸哭哭哭哭我是很懊惱與農會選舉口號欸人民卻是誰肯欸哭鬧我口口聲聲可輕鬆過關你有國際觀年內開通農委會可歌可泣欸哭哭哭哭我是很懊惱與農會選舉口號欸人民卻是誰肯欸哭鬧我口口聲聲可輕鬆過關 $$

The solution is Option C.

The graph which represents the inequality equation is

f ( x ) = { 0.50 , if x < 3

             1       , if 3 ≤ x < 6

             1.50  , if 6 ≤ x < 9

             2.00 , if 9 ≤ x < 12 }

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the number of years be = x

Let the increment in wages be = y

Now , the equation will be

For the employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour

So , the inequality equation is x < 3 , f ( x ) = 0.50

Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00

So , the inequality equation is 3 ≤ x < 6 , f ( x ) = 1

Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour

So , the inequality equation is 6 ≤ x < 9 , f ( x ) = 1.50

Employees of at least nine years, but less than twelve years receive an increase of $2.00

So , the inequality equation is 9 ≤ x < 12 , f ( x ) = 2

Therefore , the graph which represents the solution is Option C.

Hence , the inequality equation is 9 ≤ x < 12 , f ( x ) = 2

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ2

The expression 6 x 2gives the surface area of a cube, and the expression x 3gives the volume of a cube, where x is the length of one side of the cube. Find the surface area and the volume of a cube with a side length of 2 meters

Answers

Answer Expert Verified

3.1/5

18

Surface of a cube=S(x)

S(x)=6x²

S(2 m)=6(2 m)²=6(4 m²)=24 m²

The surface of this cube is 24 m².

Volume of a cube=V(x)

V(x)=x³

V(2 m)=(2 m)³=8 m³

Answer:

18

Step-by-step explanation:

factorize 3x(j-f) -4(f-j)

Answers

9514 1404 393

Answer:

   (3x +4)(j -f)

Step-by-step explanation:

  3x(j -f) -4(f -j) = 3x(j -f) +4(-f +j) . . . . distribute the minus sign in -4(f-j)

  = 3x(j -f) +4(j -f)

  = (3x +4)(j -f)

Question 1
Find the area of AJKD (Triangle JKD)
+y
F
4
2
A
0
B
6
с
8
D
10
2
4
12
А
12units2
B
15units
С
bunits2
D
14units

Answers

Answer:

6 units^2

Step-by-step explanation:

To solve this problem i use the net to find the area. Each square is a unit. there was 4 units and 4 halves. 4 halves combined, would be 2.

2 + 4= 6.

y+1=5(x-4) write a slope intercept form
Helppp

Answers

Answer:

y = 5x - 21

Step-by-step explanation:

[tex]y+1=5(x-4)\\y+1=5x-20\\y=5x-21[/tex]

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