If triangle EFG is shifted five units to the left, what will be the new coordinates of vertex F?

HELP ME Twelve out of the first 100 people who entered the mall were wearing glasses. If this sample is representative of 550 pe

qaws [65]

So, we write a fraction, which would be 12/100. Then we would do 12/100 = x/550. You could divide 100 by 550, which is 5.5. Then we would multiply 5.5 by 12, which is 66. So 66 people would be wearing glasses.

3 0

3 years ago

Can you write this equation in point-slope form?<br><br> y = ½x + 4?

Svet_ta [14]

Yes. This equation given:
______________________________
   " y = (½)x + 4 " ; in point-slope form; also known as: "slope-intercept form" ; is:
______________________________________
    " y = (½)x + 4 " .
______________________________________
In other words, the equation given is ALREADY written in "point-slope form" ; or, "slope-intercept form".
______________________________________
Note:   An equation that is written in "point-slope form"
             (or, "slope-intercept form"), is written in the format of:
______________________________________
" y = mx + b " ;_________________
in which:_________________
"y" is a single, "stand-alone" variable on the "left-hand side of the equation"; "m" is the coefficient of "x"; also:
"m" is the slope of the line; which is what we want to solve for;
"b" is the "y-intercept"; or more precisely, the value of "x"
(that is; the "x-coordinate") of the point at which "y = 0";
that is, the value of "x" ; or the "x-coordinate" of the point at which
the graph of the equation crosses the "x-axis".
______________________________________
Note that in our given equation, which is written in "point-slope form" (or, "slope-intercept form" — that is: " y = mx + b " ;
_______________________________________
which is: " y = (½)x + 4 " ;
_______________________________________
we have:
_______________________________________
"y" isolated as "stand-alone" variable on the "left-hand side" of the equation;

m = ½ ;
b = 4 .
_______________________________________

4 0

3 years ago

The price of a dress is reduced by 60%.When the dress still does not sell, it is reduced by 60% of the reduced price. If the pr

Nina [5.8K]

Answer:

1. $450

2. $128

Step-by-step explanation:

1. new price = .4 (.4 * original price x)

72 = .16x

x = 450

2. new price = .75 (.75 * original price x)

72 = .5625x

x = 128

6 0

3 years ago

A food-packaging apparatus underfills 10% of the containers. Find the probability that for any particular 10 containers the numb

Maksim231197 [3]

Answer:

a) $P(X = 1) = 0.38742$

b) $P(X = 3) = 0.05740$

c) $P(X = 9) = 0.00000$

d) $P(X \geq 5) = 0.00163$

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it is undefilled, or it is not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$