2 inches is approximately 5 centimeters. Kevin is 66 inches tall. How many centimeters (cm) tall is he?

Answers

Answer 1

Answer: He is approximately 330 cm because 60 times 5 is 300 and 6 times 5 is 30. If you add it up it is 330 cm

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-3 = 15+4y round to nearst tenth

Data on caloric intake or teens for two types of diet are given below. Typical Diet Caloric intake Sample mean St. Dev.
No fast food 2310 2295 2280 2340 2235 2265 2315 2291.429 34.8466
food Fast 2579 2160 2165 2580 2558 2591 2614 2518 2583.125 33.0646

Give a 95% confidence interval for the difference of the two means, (Uf - Un), where is the mean calorie intake for teens who typically eat fast food and is that for teens who do not typically eat fast food assuming two normal populations, independent random samples, and equal variances for the two populations

Answers

Answer:

Step-by-step explanation:

For "no fast food,

n1 = 9

Mean = (2310 + 2295 + 2280 + 2340 + 2235 + 2265 + 2315 + 2291.429 + 34.8466)/9

Mean, m1 = 2041

Standard deviation, s1 = √summation(x - u)²/n

summation(x - u)² =

(2310 - 2041)^2 + (2295 - 2041)^2 + (2280 - 2041)^2 + (2340 - 2041)^2 + (2235 - 2041)^2 + (2265 - 2041)^2 + (2315 - 2041)^2 + (2291.429 - 2041)^2 + (34.8466 - 2041)^2

= 4533653.14837256

s = √4533653.14837256/9

s = 709.75

For " fast food",

n2 = 10

Mean = (2579 + 2160 + 2165 + 2580 + 2558 + 2591 + 2614 + 2518 2583.125 + 33.0646)/10

Mean,m2 = 2238

summation(x - u)² =

(2579 - 2238)^2 + (2160 - 2238)^2 + (2165 - 2238)^2 + (2580 - 2238)^2 + (2558 - 2238)^2 + (2591 - 2238)^2 + (2614 - 2238)^2 + (2518 - 2238)^2 + (2583.125 - 2238)^2 + (33.0646 - 2238)^2

= 5672294.38379816

s2 = √5672294.38379816/10

s2 = 753.15

For a confidence interval of 95%, z = 1.96

The formula for confidence interval is

m1 - m2 ± z × √(s1²/n1 + s2²/n2)

= 2041 - 2238 ± 1.96 × √(709.75²/9 + 753.15²/10)

= - 197 ± 1.96 × √(55971.6736 + 56723.4923)

= - 197 ± 1.96 × 335.7

= - 197 ± 657.972

The lower end of the interval is

- 197 - 657.972 = - 854.972

The upper end of the interval is

- 197 + 657.972 = 460.972

A basketball player averages 22.5 points scored per game with a standard deviation of 6.2 points. In one game, the number of points the athlete scored was 1.2 standard deviations below his mean. How many points below average was this value?

Answers

Using the normal distribution, it is found that this value was 7.5 points below the average.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = (X - \mu)/(\sigma)$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, by:

$\mu = 22.5, \sigma = 6.2$ .

In one game, the number of points the athlete scored was 1.2 standard deviations below his mean, hence Z = -1.2 and the score was of X, so:

$Z = (X - \mu)/(\sigma)$

$-1.2 = (X - 22.5)/(6.2)$

X - 22.5 = -1.2 x 6.2

X = 15.

15 - 22.5 = 7.5.

This value was 7.5 points below the average.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ2

Answer:

7.44 is the answer

Step-by-step explanation:

Identify the roots of gx= x2+3x-4 x^2-4x+29

Answers

Answer:

x1=1

x2= -4

x3= (2 + 5i)

x4= (2 - 5i)

Step-by-step explanation:

STEP 1-

Find the roots of the first term.

(x^2 + 3x -4)=0

Then group the terms that contain the same variable, and move the constant to the opposite side of the equation.

(x^2 + 3x)=4

Complete the square. Remember to balance the equation by adding the same constants to each side.

(x^2 + 3x + 1.5^2)=4 + 1.5^2

(x^2 + 3x + 1.5^2)=6.25

Rewrite as perfect squares

(x + 1.5)^2=6.25

Square root both sides.

(x + 1.5) = (+/-)2.5

x= -1.5(+/-)2.5

x= -1.5 + 2.5 = 1

x= -1.5 + 2.5= -4

so the factored form of the first term.

(x^2 + 3x + 4) = (x - 1) (x + 4)

STEP 2-

Find the roots of the second term

(x^2 - 4x + 29)= 0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x^2 - 4x)= -29

Complete the square. Remember to balance the equation by adding the same constants to each side

(x^2 - 4x + 4) = - 29 + 4

(x^2 -4x + 4) = -25

Rewrite as perfect squares

(x - 2)^2 = -25

Remember that

i = square root of -1

Square root both sides

(x - 2) = (+/-)5i

x= 2 (+/-)5i

x= 2 + 5i

x= 2 - 5i

so the factored form of the second term is

(x^2 - 4x + 29) = (x - (2 + 5i))(x - (2 - 5i))

STEP 3-

Substitute the factored form of the first and second term in g(x)

g(x) = (x-1)(x + 4)(x- (2+ 5i))(x- ( 2-5i)

there for you have your answers

Which is the graph of y = 3/4x -3?

Answers

Answer:

Step-by-step explanation:

rise over run....up 3 and over 4

crosses y axis as -3

For what side length(s) is the area of an equilateral triangle equal to 30 cm?? Only enter the number, in centimeters, rounded to two decimal places. A cm ►

Answers

Answer: The sides length are 8.32 cm

Step-by-step explanation:

An equilateral triangle has all his sides of the same lenght, so we assume that the triangle has an L lenght in his sides.

The area of a triangle is $Area = (base * height)/(2)$ where the base is L, the Area is 30 and an unknown height.

To determine the height, we cut the triangle in half and take one side. By simetry, one side has a base of $(L)/(2)$ , a hypotenuse of L and a the unknown height.

Then we apply the Pythagoras theorem, this states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, or, $hypotenuse = \sqrt{c^(2) + c^(2) }$ Where one c is $(L)/(2)$ and the other is the height.

Then we find one of the c of the equation wich will be the height.

$height = \sqrt{hypotenuse^(2)-base^(2) }$

$height = \sqrt{ L^(2) -(L)/(4) ^(2)}\nheight = \sqrt{( 3L^(2))/(4) } \n\nheight = (√(3)L )/(2)$

Finally, we use the triangle area mentioned before an find the value of L.

$30 = (L*(√(3)L )/(2) )/(2) \n\nL = \sqrt{(120)/(√(3) ) } \n\nL = 8.32 cm$

Will give brainleast What number is the opposite of -2 1/8

Answers

2 1/8 is the opposite

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