I need help what is the surface area of the triangular pyramid in the figure?

In the diagram below, what is the approximate length of the minor arc DE?

likoan [24]

Answer:

c

Step-by-step explanation:

4 0

3 years ago

SCCoast, an Internet provider in the Southeast, developed the following frequency distribution on the age of Internet users. Fin

Tomtit [17]

Answer:

Mean: 40.17 years.

Standard deviation: 10.97 years.

Step-by-step explanation:

The frequency distribution is in the attached image.

We can calculate the mean adding the multiplication of midpoints of each class and frequency, and dividing by the sample size.

The midpoints of a class is calculated as the average of the bounds of the class.

Then, the mean can be written as:

$E(X)=\dfrac{1}{N}\sum f_iX_i\\\\\\E(X)=\dfrac{1}{60}(3\cdot15+7\cdot25+18\cdot35+20\cdot45+12\cdot 55)=\dfrac{45+175+630+900+660}{60}\\\\\\E(X)=\dfrac{2,410}{60}=40.17$

The standard deviation can be calculated as:

$s=\sqrt{\dfrac{1}{N-1}\sum f_i(X_i-E(X))^2}\\\\\\s=\sqrt{\dfrac{1}{59}[3(15-40.17)^2+7(25-40.17)^2+18(35-40.17)^2+20(45-40.17)^2+12(55-40.17)^2]}$

$\\\\\\s=\sqrt{\dfrac{1}{59}( 1,900.59 + 1,610.90 + 481.12 + 466.58 + 2,639.15 )}\\\\\\s=\sqrt{\dfrac{ 7,098.33 }{59}}=\sqrt{120}=10.97$

4 0

3 years ago

PLEASE HELP!!!! ASAP

tatiyna

Answer:

78/5

Step-by-step explanation:

1/5 5x + 12 = 18

5 0

2 years ago

What are two rational numbers between -3/4 and -2/3

Vadim26 [7]

The two rational numbers between $- \frac{3}{4}$ and $- \frac{2}{3}$ is $- \frac{32}{48}$ , $- \frac{36}{48}$

<h3>How to find the rational numbers between -3/4 and -2/3?</h3>

In the form of p/q, which can be any integer and where q is not equal to 0, is expressed as rational numbers. As a result, rational numbers also contain decimals, whole numbers, integers, and fractions of integers (terminating decimals and recurring decimals).

given that -3/4 and -2/3

now take L.C.M between these two rational numbers is 12.

now multiply -3/4 with 3 both numerator and denominator

$- \frac{3}{4} \times \frac{3}{3} = - \frac{ 9}{12}$

again multiply -9/12 with 4 both numerator and denominator

$- \frac{9}{12} \times \frac{4}{4} = - \frac{36}{48}$

now multiply -2/3 with 4 both numerator and denominator

$- \frac{2}{3} \times \frac{4}{4} = - \frac{8}{12}$

again multiply -8/12 with 4 both numerator and denominator

$- \frac{8}{12} \times \frac{4}{4} = - \frac{32}{48}$

Hence the -36/48 and -32/48 are rational numbers between -3/4 and -2/3

Learn more about rational numbers, refer:

brainly.com/question/12088221

#SPJ9

8 0

1 year ago

The spending limit on John's credit card is given by the function f(t) = 15,000 + 1.57, where x is his monthly income. 1-13) $60

coldgirl [10]

1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"

means that if the monthly income of John is $ 5,000 ,he can spend at most

f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)

Or for example

if Johns monthly income is $8,000, then he can spend at most

f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)

2.
Now, assume that the maximum amount that John can spend is y.

Then, y=15,000+1.5x

we can express x, the monthly income, in terms of y by isolating x:

y=15,000+1.5x

1.5x = y-15,000
X=y-15,000/1.5

thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:
X=g(y) y-15000/1.5
since we generally use the letter x for the variable of a function, we write g again as:

G (x) x-15000/1.5
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.

3.

If John's limit is $60,000, his monthly income is
G(600,000)=60,000-15,000/ 1.5=45,000/1.5 =30,000

dollars.

Answer: $ 30,000

Remark: g is called the inverse function of f, since it undoes what f does.

instead of g(x), we could use the notation

5 0

3 years ago