At a fudge shop, they cut a sheet of fudge into one-ounce pieces.

In a topographical map of a city, the vertices of the city limits are A(10,9),B(18,9),C(18,2),D(14,4.5),E(10,4.5). The coordinat

Viefleur [7K]

I think it’s D??????

3 0

3 years ago

Could someone help me please

Rina8888 [55]

Answer:

the answer should be 30

Step-by-step explanation:

since you can divided 15 by 5 to get 3, you can multiply 10 x 3 to get 30

8 0

3 years ago

According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose t

nalin [4]

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

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

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that $p = 0.2$

Suppose that sixteen adults in the United States are selected randomly.

This means that $n = 16$

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

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

$P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281$

$P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126$

$P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111$

$P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981$

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

4 0

3 years ago

If the right side of the equation dy dx = f(x, y) can be expressed as a function of the ratio y/x only, then the equation is sai

melomori [17]

Answer:

y = x*sqrt(Cx - 1)

Step-by-step explanation:

Given:

dy / dx = (x^2 + 5y^2) / 2xy

Find:

Solve the given ODE by using appropriate substitution.

Solution:

- Rewrite the given ODE:

dy/dx = 0.5(x/y) + 2.5(y/x)

- use substitution y = x*v(x)

dy/dx = v + x*dv/dx

- Combine the two equations:

v + x*dv/dx = 0.5*(1/v) + 2.5*v

x*dv/dx = 0.5*(1/v) + 1.5*v

x*dv/dx = (v^2 + 1) / 2v

-Separate variables:

(2v.dv / (v^2 + 1) = dx / x

- Integrate both sides:

Ln (v^2 + 1) = Ln(x) + C

v^2 + 1 = Cx

v = sqrt(Cx - 1)

- Back substitution:

(y/x) = sqrt(Cx - 1)

y = x*sqrt(Cx - 1)

3 0

3 years ago

A mobile company charges a fixed rate of x cents per minute for the first 120 minutes of talk time and another rate of y cents p

patriot [66]

Answer:

$21.2

Step-by-step explanation:

From the problem given, we express them as algebra so that we can easily solve;

the total charge on a call greater than 120min is given as;

120x + y(n - 120) = total cost of call

where n is the number of minutes which is greater than 120;

Ethan paid $26.80 for 175 mins

n = 175min here;

120x + y(175 - 120) = 26.80

120x + 55y = 26.80 ----- (I)

$32.40 for 210 minutes

n = 210min

120x + y(210 - 120) = 32.4

120x + 90y = 32.4 ----- (II)

Now let us solve both equations for y and x;

120x + 55y = 26.80 ----- (I)

120x + 90y = 32.4 ----- (II)

subtract the two equations;

90y - 55y = 32.4 - 26.8

35y = 5.6

y = $\frac{5.6}{35}$ = 0.16cents

then x;

120x = 26.8 - 55y from equation I

120x = 26.8 - 55(0.16)

120x = 18

x = $\frac{18}{120}$ = 0.15cents

Find the cost of 140min of talk time;

n =140min;

= 120(0.15) + 0.16(140 - 120)

= 18 + 0.16(20)

= 18 + 3.2

= $21.2

4 0

3 years ago