A set of data is normally distributed with a mean of 455 and a standard deviation of 25. What percent of the data is in the interval 405–455?
a.
47.5%
c.
68.3%
b.
49.85%
d.
34.15%

Answers

Answer 1

Answer:

a. 47.5%

Step-by-step explanation:

1. Find the z-score for 405: 405-455/25 = -2

2. Find the z-score for 455: 455-455/25 = 0

3. Using technology or a chart, find the percentage that corresponds with the z-scores: -2 = 0.0228 or 2.28%, AND 0 = 0.5000 or 50%

4. Find the difference between the percentages by subtracting them: 50% - 2.28% = 47.72%

5. Most of the time, the answers aren't exact, so since 47.72% is closest to 47.5%, I would say that's the answer.


Related Questions

TIMED WILL GIVE BRAINLEIST HELPPPPPPPPPPPP

Answers

Answer:

3.13π

Step-by-step explanation:

One plane is a quarter of a semi-circle, since the semi-circle is split into four equal parts. One quarter of a semicircle is one eighth of a circle, so find the are of a circle with diameter 10ft, and divide by 8:

Diameter is half the radius, so the radius is 5ft.

Area of a circle  = π(radius)²

=5²π

=25π.

We're looking for an eigth of the circles area so: 25π/8 = 3.125π≈3.13π

Will give brainliest for correct answer

Answers

Step-by-step explanation:

10. not a function (repeating x values)

11 Function

12 not a function (repeating x values)

What is the total area of the composite figure below?
14.5
cm2
6 cm
A
12 cm 11
3 cm
2.5 cm
12 cm

Answers

the answer is 45 cm2 hope this helps have a nice day

WHATS THE LENGTH ROUND TO THE NEAREST 10th if NEEDED

Answers

Answer: 8.6

Step-by-step explanation:

Using pythagorean theorem, c²=a²+b² you can find the distance between AB.

c²=7²+5²

c²=74

√c²=√74

c=8.6

Whats is -100+500 you get it ok

Answers

Answer:

400 pick mine as Brainlest

Step-by-step explanation:

Answer:

It is 400

Step-by-step explanation:

If you reverse it to make it easier on yourself.

500-100 =400

Help giving brainliest please help

Answers

Answer:

C. The mode of the number of miles Ian skated in July is less than the mode of the number of miles Ian skated in August.

Step-by-step explanation:

A. is not correct because the least amount he skated in July was 1 which is not greater than the least amount In August, 5

B. is  not correct because the median number for July was 8 which is not greater than the median of August, 10

C. is correct because 8 is the most common number in July which is less than 10, the most common number in August.

D. is not correct because the range in July is 14 (15-1=14) which is not less than the range in August, 8 (13-5=8)

A rectangle has a length of 17 less than 6 times it's width. If the area of the rectangle is 7585 square feet find the length of the rectangle​

Answers

9514 1404 393

Answer:

  205 ft

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is (6w-17) and the area is ...

  A = LW

  7585 = (6w-17)(w)

  6w² -17w -7585 = 0

Perhaps most straightforward is using the quadratic formula to solve this.

For ax² +bx +c = 0, the solution is x = (-b±√(b²-4ac))/(2a). For the above quadratic, the solution is ...

  [tex]x=\dfrac{-(-17)\pm\sqrt{(-17)^2-4\cdot6\cdot(-7585)}}{2\cdot6}=\dfrac{17\pm\sqrt{182329}}{12}\\\\x=\dfrac{17\pm427}{12}=\{-34\frac{1}{6},37\}[/tex]

The width is 37 feet, so the length is ...

  6(37) -17 = 205 . . . feet

The length of the rectangle is 205 feet.

What is the approximate average rate of change for the function f(x)
from x = 3 to x = 6?
12(1.25)

Answers

Answer:

b

Step-by-step explanation:

please help this is Due!!

Answers

Answer:

c=6d

Step-by-step explanation:

I need help please ????!!!

Answers

hi there! so firstly we’re gonna want to set up this equation by:
4x - 17 = -45
add the -17 to -45 so:
4x = -45 + 17
4x = -28
divide by 4:
4x/4 = -28/4
x = -7

hope this helps! :)

Find the value of x in the triangle shown below.
1
13
2
12
Choose 1 answers

Answers

Answer:

x = 5

Step-by-step explanation:

a² + b² = c²

x² + 12² = 13²

x² + 144 = 169

x² = 169 - 144

x² = 25

[tex]\sqrt{x^2} =\sqrt{25}[/tex]

x = 5

Find the area of each figure. Answer asap

Answers

Answer: There is no picture I will edit my answer when you add one

Step-by-step explanation:

Answer:

I need the picture or the shape please and thank you

Step-by-step explanation:

Find the value of x. Round to the
nearest tenth.

Answers

Answer 20

Step by Step: None

What is the effect on the graph of the function f(x) = [xl when f(x) is changed to f(x + 9)?
Plzz

Answers

Answer:

when y or f(x) equals x then it's a straight line at the origin. if f(x+9) = |x|

f(x) = |x+9|

if you set that equal to zero then X= -9

so shifting over to the left is the right choice

Step-by-step explanation:


FOR BRAINLSIT!!!

A
B
C
D

Answers

Answer:

The 2nd option is correct

Step-by-step explanation:

The only numbers on a dice greater than 4 are 5 and 6, and we want to get the color blue, so the 2nd option is correct.

Answer:

Imma have to say B but I'm not sure

PLEASE HELP ME ASAP!!!!!!
The length of a house on a blueprint is 4 inches, and the building itself is 32 feet long. If the width of the house is 40 feet, how wide is it on the blueprint?
28 in.
5 in.
10 in.
8 in.

Answers

Answer:

10 inches

Step-by-step explanation:

10 inches :)):)):):):):);):);)

A rectangular prism has a square base with side
the prism is 5 feet. What is the volume of the prism? Show you
m has a square base with sides that are 2 feet long. The height of
Please help

Answers

Answer:

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

Step-by-step explanation:

safari

Conduct the following test at the level of significance by determining ​(a) the null and alternative​ hypotheses, ​(b) the test​ statistic, and​ (c) the​ P-value. Assume that the samples were obtained independently using simple random sampling. Test whether . Sample data are ​, ​, ​, and . ​(a) Determine the null and alternative hypotheses. Choose the correct answer below. A. versus B. versus C. versus Your answer is correct.D. versus ​(b) The test statistic is nothing. ​(Round to two decimal places as​ needed.)

Answers

Answer:

Hello your question is poorly written the complete question is attached below

answer :

a) H0 : p1 = p2

  Ha : p1 ≠ p2

b)  Z = -0.58

c) P-value =  0.561915

d) we will reject the Alternative hypothesis

Step-by-step explanation:

For sample 1 ;  n1 = 254 , x1 = 28

For sample 2 ; n2 = 301 , x2 = 38

level of significance ∝ = 0.01

P1 = X1 / n1 = 28 / 254  = 0.1102

P2 = X2 / n2 = 38 / 301 = 0.126

a) Determine the null and alternate hypothesis

H0 : p1 = p2

Ha : p1 ≠ p2

b) Determine Test statistic

we perform a Z-statistic to test the hypothesis

Z = [tex]\frac{p1-p1 }{\sqrt{( p(1-p)*(\frac{1}{n1}+\frac{1}{n2}) ) } }[/tex]  -------- ( 1 )

p =  ( x1 + x2 ) / ( n1 + n2 )

= ( 28 + 38 ) / ( 254 + 301 ) = 0.1189

Where: p = 0.1189 , p1 = 0.1102 , p2 = 0.126 ( input values into equation 1 )

∴ Z = -0.58

c) Determine P-value

P-value =  0.561915 ( using excel function )

d) conclusion : since p-value > 0.01 ( level of significance ) we do not reject the null hypothesis.  therefore it proves that p1 = p2

What is the lateral area of the pyramid

Answers

Answer:

43.75 ft²

Step-by-step explanation:

[tex]s_l[/tex] = (l√(w/2)² + h²) + (w√(l/2)² + h²)

l & w become 3.5, and h becomes 6.

[tex]s_l[/tex] = (3.5√(3.5/2)² + 6²) + (3.5√(3.5/2)² + 6²)

Step 1:Because this is a square pyramid, what you see above essentially becomes what you see below.

[tex]s_l[/tex] = 2(3.5√(3.5/2)² + 6²)

Step 2: Divide 3.5 by 2 to get 1.75.

[tex]s_l[/tex] = 2(3.5√1.75² + 6²)

Step 3: Square both 1.75 and 6 to get 3.0625 and 36 respectively.

[tex]s_l[/tex] = 2(3.5√3.0625 + 36)

Step 4: Add 3.0625 and 36 to get 39.0625.

[tex]s_l[/tex] = 2(3.5√39.0625)

Step 5: The square root of 39.0625 is 6.25.

[tex]s_l[/tex] = 2(3.5 * 6.25)

Step 6: Multiply 3.5 by 6.25 to get 21.875.

[tex]s_l[/tex] = 2(21.875)

Step 7: Multiply 2 by 21.875 to get 43.75.

[tex]s_l[/tex] = 43.75 ft²

The lateral area of this pyramid is 43.75 ft².

what is the angle of a right angle plate? 30 degree or 45 degree or 901 degree or 180 degree

Answers

Answer:

A right angle is measured 90°

Step-by-step explanation:

A right angle is measured 90°

An acute angle is measured <90° (for example 30° and 45°)

An obtuse angle is measured >90° but <180° (for example 170°)

A straight angle is measured 180°

Find the area of the sector.

Answers

Answer:

359.1887600604 so D should be right    

the product of 23
and 20

Answers

460 is your answer

20 x 23 = 460

Find the average rate of change of y=log3⁡ x over the interval 1≤x≤3. Write your answer as a fraction in the simplest form.

Answers

Answer:

If the interval is 1 < x < 3, then you are examining the points (1,4) and (3,16). From the first point, let a = 1, and f (a) = 4. From the second point, let b = 3 and f (b) = 16. The average rate of change is 6 over 1, or just 6.

The average rate of change is [tex]\frac{6}{25}[/tex]

What is rate of change over an interval?

'When we calculate average rate of change of a function over a given interval, we’re calculating the average number of units that the function moves up or down, per unit along the x-axis. We could also say that we’re measuring how much change occurs in our function’s value per unit on the x-axis.'

According to the given problem,

Rate of change formula = [tex]\frac{f(b) - f(a)}{b-a}[/tex]

y = log3x

⇒ a= 1

   b= 3

Therefore,

⇒ [tex]\frac{log(3*3) - log(3*1)}{3-1}[/tex]

⇒ [tex]\frac{log9 - log3}{2}[/tex]

⇒[tex]\frac{1}{2}[/tex] log[tex](\frac{9}{3})[/tex]

⇒ [tex]\frac{1}{2}[/tex] * log 3

⇒ [tex]\frac{6}{25}[/tex]

Hence we can conclude the rate of change as [tex]\frac{6}{25}[/tex]

Learn more about rate of change here: https://brainly.com/question/18193470

#SPJ2

Please help me pls ASAP thank YOUU

Answers

Answer:

I think D

Step-by-step explanation:

Sorry if it's wrong, but it's the only one I think makes sense. Brainlist me if u get it right! :)

FIND X. PLEASE HELP............. ..........!

Answers

Answer:

x=23

Step-by-step explanation:

Can you figure out the missing number​

Answers

Answer:

Im not sure exactly what this is but it seems the answer is 6 because the only number 1-9 thats not there!

Step-by-step explanation:

Hope this helps!! :)

The missing number is 6

What are missing numbers?

Missing numbers are numbers omitted from a group or series of numbers.

The main purpose of finding a missing number is to determine the mechanism by which the numbers are arranged or encoded.

From the given information:

The number given is natural numbers from 1 - 9,The missing number in the series from 1 - 9 in the box is 6.

Therefore, we can conclude that the missing number is 6.

Learn more about the missing numbers here:

https://brainly.com/question/11170254

Consider the circle below.
B
(7w - 4)º
A
C
(5w + 20)
D
Determine mAB.

Answers

Answer: d

Step-by-step explanation:

) Which value is the solution of the equation 54 = 6n? ​

Answers

54 = 6n     divide 6 on both sides, 6's will cancel on the right.

__    __     solve for 54 ÷ 6 = 9

6      6

n = 9, choice 4 -- final answer

hope this helps :)

The solution of the given equation 54 = 6n will be 9 thus option (D) is correct.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given equation,

54 = 6n

Divide by 6 into both sides,

n = 9

Hence "The solution of the given equation 54 = 6n will be 9".

For more about the equation,

brainly.com/question/10413253

#SPJ2

which expression is equivalent to n+n+n+n? pick outta these A n4 B 4n C4n to the power of 4 D n+4

Answers

Answer:

B

Step-by-step explanation:

Answer:

the answers b sorry if it's wrong

Step-by-step explanation:

have a great day

An Oil Rig is 30 meters tall. Mr. Clanton is standing 12 meters from the base of the Rig. At what angle of elevation does he need to look to see the eagle on top of the Rig ? What is the distance from Mr. Clanton to the Eagle ?

Answers

Answer:

Angle of elevation: 68.2°, distance from Mr. clanton to the eagle: 32.3m.

Step-by-step explanation:

I can't draw the diagram , but will try to explain:

the diagram is a right angled triangle, with the opposite as the rig, the adjacent as the distance between mr. clinton and the base of the rig, and the hypotenuse as x.

∅ is the angle of elevation from clinton to the eagle.

Using SOH CAH TOA,

Tan∅ =30÷12

tan∅ =2.5.

∅ =tan^-1( tan raised to power -1 )

∅ =tan^-1(2.5)

∅ = 68.19859051≅68.2 to 3s.f.

To get the distance between mr. clinton and the eagle:

Using SOH CAH TOA;

Cos68.2 =12/x   cross multiplying....

x*cos68.2 =12

∴ x = 12 ÷ cos 68.2

= 12 ÷ 0.3713678356

= 32.31297611≅32.3 to 3s.f.

Hope this helps.....

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