MATHEMATICS HIGH SCHOOL

PLSSSSSSSSSSS HEEEEEELP????The mean of a set of normally distributed data is 600 with a standard deviation of 20. What percent of the data is between 580 and 620?

Answers

Answer 1

Answer:

Answer:

The percentage of the data between 580 and 620 is 68.26 %

Step-by-step explanation:

Given,

Mean, $\mu$ = 600,

Standard deviation, $\sigma$ = 20,

Using the equation,

$z-score=(x-\mu)/(\sigma)$

Z-score for the data 580 = $(580-600)/(20)$

$=(-20)/(20)$

$=-1$

While, the z-score for the data 620 = $(620-600)/(20)$

$=(20)/(20)$

$=1$

Using normal distribution table,

P(580 < z) = 0.1587

Also, P(620 > z) = 0.8413

Hence, the percent of the data is between 580 and 620 = P(620 > z) - P(580 < z)

= 0.8413 - 0.1587

= 0.6826

= 68.26 %

Answer 2

Answer: z = (X-Mean)/SD
z1 = (580-600)/20 = - 1
z2 = (620-600)/20 = + 1
According to the Empirical Rule 68-95-99.7
Mean +/- 1*SD covers 68% of the values
Therefore, required percent is 68%
hopes this help :) :D :)

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HEEEEEELP

question in the attached picture

Answers

1) $x^(2) +2x-10=0$
a=1
b=2
c=-10
$x= \frac{-(2) +or- \sqrt{ 2^(2)+4(1)(-10) } }{2(1)}$
$x= (-2 + or - √(4+40) )/(2)$
$x= (-2 +or- √(44) )/(2)$
$x= (-2+or- 2√(11) )/(2)$
$x= -1+or- √(11)$
$√(11)=3.32$
-1+3.32 = 2.32
-1-3.32 = -4.32

2) $x^(2) -2x-9=0$
a=1
b=-2
c=-9
$x= \frac{-(-2)+or- \sqrt{ (-2)^(2)+4(1)(-9) } }{2(1)}$
$x= (2+or- √(4+36) )/(2)$
$x= (2+or- √(40) )/(2)$
$x= (2+or-2 √(10) )/(2)$
$x=1+or- √(10)$
$√(10) =3.16$
1+3.16 = 4.16
1-3.16 = -2.16

3) $x^(2) -9x+5=0$
a=1
b=-9
c=5
$x= \frac{-(-9)+or- \sqrt{(-9)^(2)-4(1)(5) } }{2}$
$x= (9+or- √(81-20) )/(2)$
$x= (9+or- √(61) )/(2)$
$x= (9)/(2) +or- ( √(61) )/(2)$
$√(61) = 7.81$
$(7.81)/(2) =3.91$
$(9)/(2)=4.5$
4.5+3.91 = 8.41
4.5-3.91 = 0.59

Lauren’s age can be represented by the expression 10m2. Kristen’s age can be represented by the expression 2m5.What is the ratio of Lauren’s age to Kristen’s age?

Answers

The ratio of Lauren's Age to Kristen's Age = $\rm5:m^3$

Ratio of two numbers is a quantitative relationship between two numbers showing that how one number is increasing or decreasing with respect to other number.

If a and b are two numbers then the their ratio r is represented by the equation (1)

$r = a:b......(1)$

Lauren' s Age = $10m^2$

Kristien's Age = $2m^5$

For Finding out the ratio of two numbers we simply divide them.

Let x be the ratio of Lauren's age to Kristen's age, = x = $\rm10m^2$ / $\rm2m^5$ .....(2)

On simplifying equation (2) we get

x = $\rm5/m^3$

So the ratio of Lauren's Age to Kristen's Age = $\rm5:m^3$

For more information please refer to the link below

brainly.com/question/21379025

Given:
Lauren's age = $10 m^(2)$
Kristen's age = $2 m^(5)$

ratio of Lauren's age to Kristen's age = $(10 m^(2) )/(2 m^(5) )$

= $(2 * 5* m^(2) )/(2* m^(5) )$

= $(5 )/( m^(5-2) )$

= $(5 )/( m^(3) )$

So, the ratio is 5 : m³

A quadratic equation is written in four equivalent forms below. I. y = (x - 1)2 - 49 II. y = x2 - 2x - 48 III. y = (x + 6)(x - 8) IV. y = x(x - 2) - 48 Which of the forms shown above would be the most useful if attempting to find the x-intercepts of the quadratic equation?

Answers

The x-intercept also known as the root of a quadratic can be found by solving the equation with respect to x.

III is the most useful for finding the roots
you would simply equate each term to

So y= x + 6 AND y= x - 8
0= x + 6 0= x - 8
x= -6 x= 8

: . x-intercepts are x= -6 & x= 8

Each month Ian pays $3.99 for his music subscription. How much is his bank account being impacted each month? If he decides to stop his subscription after 5 months, how much has his bank account been impacted at the end of the 5 months?

Answers

Answer:

am not sure of my answer ohhh

Answer:

19.95

Step-by-step explanation:

Which of the following fractions will result in a repeating decimal? A. 1/3 B. 4/5 C. 3/8 D. 1/2

Answers

Answer:

A . 1/3

Step-by-step explanation:

1/3 = 0.333333333333333 (and the 3 continues on and on and on and on)

4/5 = 0.8

3/8 = 0.375

1/2 = 0.5

6a-5b=9 2a+5b=23 using the addition method

Answers

Answer:

a = 4

b = 3

:))

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