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butalik [34]
3 years ago
6

Find the distance of ST given, S ;-2,4) and T (4,1)

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
8 0
You have to use the distance formula which is:

Distance = √(x2 - x1)^2 + (y2 - y1)^2

Using the coordinates given.

D = √(4 - (-2)^2 + (1 - 4)^2

D = √(6)^2 + (-3)^2

D = √36 + 9

D = √45

D = √9 × 5

D = 3√5
You might be interested in
se vendieron 144 boletos. 2 pesos por adulto y un peso por niño, si se gastaron 207 pesos cuantos boletos de adulto se vendieron
natulia [17]

Answer:

Se vendieron 81 boletos de niños y 63 boletos de adultos.

Step-by-step explanation:

La cantidad de boletos vendidos es igual a:

144 = a + n   (1)

En donde <em>a </em>es por adultos y <em>n</em> por niños

A su vez, el dinero gastado equivale:

207 = 2*a + 1*n   (2)

Resolviendo la ecuación (1) para <em>a:</em>

a = 144 - n   (3)

Introduciendo (3) en la ecuación (2) tenemos:

207 = 2*(144 - n) + n

n = 81

Ahora podemos calcular el numero de boletos de adultos vendidos introduciendo <em>n</em> en la ecuación (3):

a = 144 - n = 144 - 81 = 63

Entonces, se vendieron 81 boletos de niños y 63 boletos de adultos.  

Espero que te sea de utilidad!      

5 0
2 years ago
Johnny invested $1000 in savings account that yields 2% interest annually. How much will Johnny's investment be worth in 10 year
Ann [662]
Calculate the interest in a year
Multiply the annual percentage of interest by the investment to find the interest.
interest in a year = 2% × 1,000
interest in a year = 0.02 × 1,000
interest in a year = 20
The annual interest is $20

Calculate the interest after 10 years
Multiply the annual interest by 10
interest 10 years = 20 × 10
interest 10 years = 200
The sum of interest after 10 years is $200

Find total investment
investment = first investment + interest in 10 years
investment = 1,000 + 200
investment = 1,200

The investment will be worth $1,200 in 10 years
4 0
3 years ago
A local board of education conducted a survey of residents in the community concerning a property tax levy on the coming local b
IrinaK [193]

Answer:

a. [ 0.454,0.51]

b. 599.472 ~ 600

Step-by-step explanation:

a)

Confidence Interval For Proportion

CI = p ± Z a/2 Sqrt(p*(1-p)/n)))

x = Mean

n = Sample Size

a = 1 - (Confidence Level/100)

Za/2 = Z-table value

CI = Confidence Interval

Mean(x)=410

Sample Size(n)=850

Sample proportion = x/n =0.482

Confidence Interval = [ 0.482 ±Z a/2 ( Sqrt ( 0.482*0.518) /850)]

= [ 0.482 - 1.645* Sqrt(0) , 0.482 + 1.65* Sqrt(0) ]

= [ 0.454,0.51]

b)

Compute Sample Size ( n ) = n=(Z/E)^2*p*(1-p)

Z a/2 at 0.05 is = 1.96

Samle Proportion = 0.482

ME = 0.04

n = ( 1.96 / 0.04 )^2 * 0.482*0.518

= 599.472 ~ 600

8 0
3 years ago
Would anyone know how to do this
butalik [34]
Your answer will be 5xplus10
8 0
3 years ago
Bugbug0221 hollo hi<br> wut r u doing
givi [52]

Answer:

STealing points

Step-by-step explanation:

and you

6 0
3 years ago
Read 2 more answers
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