a variable x has a normal distribution with mean 54 and standard deviation 5. approximately what percentage of the observations will fall between 44 and 64?

Answers

Answer 1

For a normal distribution with mean 54 and standard deviation 5 95.4% of them fall between 44 and 64

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ \mu=mean.\sigma=standard\ deviation, x=raw\ score\\\\Given\ that\ mean(\mu)=54,standard \ deviation (\sigma)=5\\\\For\ x=44:\\\\z=\frac{44-54}{5}=-2\\\\For\ x=64:\\\\z=\frac{64-54}{5}=2[/tex]

Therefore., from the normal distribution table:

P(44<x<64) = P(-2< z < 2) = P(z < 2) - P(z < -2) = 0.9772 - 0.0228 = 0.9544

Hence, About 95.4% of them fall between 44 and 64.

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Related Questions

Can someone help me plz

Answers

The answer should be 4. Take note of the pattern of unit digits of 2^n.

2^1 = 2
2^2 = 4
2^3 = 8
2^4 = 16
2^5 = 32


Every 4 powers, it rotates 2, 8, 6, 4. Since 2020 is divisible by 4, the answer is 4.

PLEASE HELP!! Pleaseee

Answers

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The given angles are forming alternate interior pair, so :

[tex]4x - 2 = 3x + 6[/tex]

[tex]4x - 3x = 6 + 2[/tex]

[tex]x = 8[/tex]

hence, value of x = 8°

The sum of 3 times a number and half the same number and 4 is equivalent to 4 times the same number plus 1

Answers

Step-by-step explanation:

3n+1/2n+4=4n+1

3n+4n+1/2n=4+1

7n+1/2n=5

7.5n=5

Divide both sides by 7.5

5 divided by 7.5=

0.666

Help plz stuck on this question

Answers

Answer:

There are two questions please be specific

another easy 8th grade problem for u guys to help me with aha

scale the numerator and the denominator down by a factor of 3 (divide) to write a
fraction equivalent to 18/42

Answers

Answer:

6/14

Step-by-step explanation:

divide the numerator and denominator by 3. 18 / 3 is 6 and 42 / 3 is 14. So your answer is 6/14.

Answer:

6/14

Step-by-step explanation:

Scaling the numerator and denominator means to multiply or divide both numbers by some number. "Scaling down" means to divide both the numerator and denominator by some value (in this case, 3). So you would have to divide the numerator by 3 and the denominator by 3.

18 / 3 = 6

42 / 3 = 14

So you would get the equivalent fraction 6/14 when you scale down the numerator and denominator by 3.

8 A high-speed train travels at a maximum speed of 320 kilometres
per hour (km/h).
Work out the maximum speed of this train in metres per second (m/s).
Give your answer to the nearest whole number.

Answers

Answer:

km/hr to m/s = × 5/18

Step-by-step explanation:

320 ×5/18

=89m/s

Members of a softball team raised $1158.25 to go to a tournament. They rented a bus
for $836.50 and budgeted $24.75 per player for meals. Write and solve an equation
which can be used to determine p, the number of players the team can bring to the
tournament.
Equation:
Answer: p =
Submit Answer
attempt out of
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69°F

Answers

Answer:

1518.25=836.50+24.75p;

p=(1518.25-836.50)/24.75=681.75/24.75

Step-by-step explanation:

24.75 is about 25, so 681.75 is about 700, so that's about 28 people. If you don't have an option, do the math

Answer:

Equation: 24.75p+836.5=1158.25

Answer: p = 13

Step-by-step explanation:

Cost per player = 24.75

number of players = p

cost of bus = 836.50

total raised = 1158.25

Gordo is a fisherman. Darrin claims that Gordo over-estimates the size of his fish by 25%.
Gordo describes one fish as 40 cm long. What does Darrin claim is the length of Gordo’s
fish?

Answers

Answer:

The answer will be 30cm

Because 40 divided by 4 is 10 and times it by 3

You just had a child. You would like to have $50,000 for her college in 18 years. If the account earns 5% compounded monthly. How much will you need to deposit now to reach your goal? Round to the nearest dollar. (do not round until the very end)

Answers

Answer:

Step-by-step explanation:

I=PRT

I=50000000000×5÷100×18

I= 5000000000×0.5×18

I=45,000,000,000

Use the graph to find the slope (m) and y-intercept (b)

Answers

Answer:

Slope=4 y-intercept=(0,-21) or -21

Step-by-step explanation:

To find slope

m=-13-(-17)/2-1

m=4/1

m=4

To find y-intercept

y-(-17)=4(x-1)

y+17=4(x-1)

y+17=4x-4

Subtract both sides by 17

y=4x-21

y-intercept=-21

at an ice cream social, 56 people orderd chocolate ice cream while 32 people ordered vanilla ice cream. at a different event, 42 people bought chocolate and 30 bought vanilla. does this event have the same ratio of chocolate to vanilla purchases ad the ice cream social from (a)? justify.

Answers

Answer:

1st event ratio is 7:4 2nd event is 7:5

Step-by-step explanation:

The ratios are not the same. During the 2nd event, FIVE people bought vanilla ice cream for ever 7 that bought chocolate. During the 1st event, FOUR people bought vanilla ice cream for every 7 that bought chocolate.

y+5.41=8.21 what is y

Answers

Answer:

2.80

Step-by-step explanation:

Answer= 2.8

Step-by-step explanation:

y+5.41=8.21

y= 8.21-5.41

y= 2.8

Determine the focus of the parabola with the equation x2 - 6x + 5y = -34. Enclose answers in parentheses.​

Answers

Answer:

jahahahaahhsydsywuwks

determine if the mapping diagram represents a function​

Answers

x - y5 i think that’s right

Answer:

Yes, because each domain have only one range.

Step-by-step explanation:

Evaluate the expression and write your answers as a fraction in simplest form.-1/19+(-3/19)

Answers

Answer:

-4/19 is the answer.

Step-by-step explanation:

HELP!!!!!!
whats the scientific notation of 30 x 10 to the power of -8

Answers

Answer:

[tex]3 \times 10 ^{ - 7} [/tex]

.00000300= 3x10 to the 6 power

find the segment

plz solve​

Answers

Answer:

60 units

Step-by-step explanation:

Use the ratio of corresponding sides of similar triangles:

25/x = x / 144x² = 25*144x = √25√144x = 5*12x = 60

(BRAINLIEST)
There are 25 sanitizers in a box. A shop had a delivery of 35 such boxes. How many sanitizers were in this delivery?

Answers

Hi since the are 25 per box and there are 35 boxes in total you would do 25x35 which would equal 875 sanitisers in total

Hope this helps !

Answer:

875

Exaplaination:

No. of sanitizer in a box= 25

No. of boxes deliver in a shop=35

Total sanitizer left?

25×35= 875

hope you get the answer

A function f(x) = x^2 - 4 has a domain as the set of integers
of from 1 through 10, inclusive (including 1 and 10). For
how many values of x is f(x) positive?

Answers

Answer:

8

Step-by-step explanation:

f(x) = (x+2)(x-2)

Substituting x=1 into f(x):

f(1) = 3*-1

     = -3

Since -2 & 2 touch the x-axis, 1 has a negative y value, 2 has a y value of 0, and all values from 2, are positive.

Hence,

3, 4, 5, 6, 7, 8, 9, 10 are all positive. Therefore, the answer is 8

This can be confirmed with a graph, as attached below.

Feel free to mark this as brainliest! :D

Which statements for 15.489 are true? Check all that are true. The digit 9 is in the tenths place. The digit 4 is in the tenths place. The digit 9 is in the thousandths place. The digit 8 is in the hundredths place. The digit 8 is in the thousandths place?​

Answers

Digit 9 -1's place

Digit 4 - 100ths

Digit 8 - 10ths

Answer:

B. The digit 4 is in the tenths place

C. The digit 9 is in the thousandths place

D. The digit 8 is in the hundredths place

Step-by-step explanation:

A. The digit 9 is in the thousandths place

E. The digit 8 is in the hundredths place.

Hope it helped!

DISTANCE FORMULA
find the distance between each pair of points round the answer to the nearest tenth​

Answers

Step-by-step explanation:

The distance between 2 points is calculated with this formula:

[tex] \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]

• in the first exercise:

- the leftmost point has values (-5; 1), where -5 is the value of x1 and 1 is the value of y1

- the rightmost point has values (4; 0), where 4 is the value of x2 and 0 is the value of y2

then apply the formula:

[tex] \sqrt{(4 - ( - 5)) {}^{2} + (0 - 1) {}^{2} } [/tex]

[tex] \sqrt{(4 + 5) {}^{2} + (- 1) {}^{2} } [/tex]

[tex] \sqrt{81 + 1} [/tex]

[tex] \sqrt{82 } =9.05[/tex]

you can check if the result is correct by counting the distance of the points with the squares of the sheet (photo)

• in the second exercise:

- the highest point has values (-4; 2), where -4 is the value of x1 and 2 is the value of y1

- the lower point has values (-4; -4), where -4 is the value of x2 and -4 is the value of y2

then apply the formula:

[tex] \sqrt{( - 4 - ( - 4)) {}^{2} + ( - 4 - 2) {}^{2} } [/tex]

[tex] \sqrt{(0) {}^{2} + (36) } [/tex]

[tex] \sqrt{36} = 6[/tex]

³√9³ x √30²

I'm so stuck please help me!

Answers

Answer:

Step-by-step explanation:

Find Y
25 POINTS plus BRAINLIEST, THANKS AND 5 STAR

Answers

Answer: 5[tex]\sqrt{3\\}[/tex]

Step-by-step explanation:

This triangle is a 30-60-90 triangle. This means that: x = 2a where a is the shorter leg of the triangle and x is the hypotenuse, and b = a[tex]\sqrt{3\\}[/tex] where b is the longer leg of the triangle.

Hypotenuse = 2 * the length of the shorter leg

Longer leg = [tex]\sqrt{3\\}[/tex] * the length of the shorter leg.

Since just visually speaking, y is the longer leg and 5 is the shorter leg, let's substitute y and 5 into the equation solving for the length of the longer side:

y = [tex]\sqrt{3\\}[/tex] * 5

y = 5[tex]\sqrt{3\\}[/tex]

an ordered pair has coordinates that have the same sigh. in which quadrants couls the point lie explain

Answers

Either 1 or 3 - 1 is all positive and 3 is all negative

I need help please!!!

Answers

Answer:

yes yes ok you need help mr

Find the missing angle
25 points in it for you plus a thanks, brainliest and 5 star

Answers

Detailed explanation below

Answer:

[tex]27.82 \degree[/tex]

Step-by-step explanation:

To find the unknown angle use tan rule

[tex] \tan( \theta) = \frac{opposite}{adjacent} [/tex]

Let the unknown angle be x

[tex] \tan(x) = \frac{o}{a} \\ \tan(x) = \frac{19}{36} \\ \tan(x) = 0.5277 \\ x = \tan ^{ - 1} 0.5277 \\ x = 27.82 \degree[/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

What is -3.5 divided by 7?

Answers

Answer: -0.5

-3.5 / 7 = -.5

The value is -1/2.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

-3.5 ÷ 7

This can be written as a fraction.

= -3.5/7

Remove the decimal point.

= -35/70

Divide both the numerator and denominator with 7.

= -5/10

Divide both the numerator and denominator with 5.

= -1/2

Thus,

The value is -1/2.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

125 pounds decreased by 4%

Answers

Answer:

Step-by-step explanation:

It would be 120 because 4% of 125 is 5, so you subtract 5 from 125 to get 120. I am pretty sure that's how you do it.

Answer:

The answer would be 5

Step-by-step explanation:

Percentage decrease =

4% × 125 =

4 ÷ 100 × 125 =

4 × 125 ÷ 100 =

500 ÷ 100 =

5

how do you write 2500 in scientific notation

Answers

Answer:

2.5*10^3... two point five times ten to the power of three

Step-by-step explanation:

Answer:

2.5 × [tex]10^{3}[/tex]

Step-by-step explanation:

I think that is the write answer.

Lmk what u got.

solve for g
E=5gh
g=?​

Answers

Answer:

[tex]g = \frac{E}{5h}[/tex]

Step-by-step explanation:

To solve for g, given the equation: E = 5gh

Divide both sides by 5h:

[tex]\frac{E}{5h} = \frac{5gh}{5h}[/tex]

[tex]\frac{E}{5h} = g[/tex]

Answer:

E=5gh

E/5h=g

g=e/5h

Step-by-step explanation:

.......

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