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3 years ago

Explain the difference between four times the sum in X and Y and the sum of four times X and Y

Mathematics

1 answer:

vodomira [7]3 years ago

8 0

Step-by-step explanation:

4 times the sum of x and y is: 4(x+y) where you're multiplying the expression x+y four times. the sum of 4 times x and y is: 4x+y where you only multiply x four times and y is left out of the multiplication.Jan

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A certain piece of copper wire is determined

Sati [7]

Answer:

Step-by-step explanation:

mass of 100 centimeters of copper wire is $2.00$

so, mass of 1 centimeter of copper wire will be $\frac{2}{100}$

hence, 14 centimeters of copper wire will provide .28 copper

8 0

3 years ago

A survey is being conducted in a county where 62% of the voters are Democrats and 38% are Republican. (a) What is the probabilit

Inessa05 [86]

Answer:

0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either the voter is a Democrat, or he is not. The probability of the voter being a Democrat is independent of other voters. So we use the binomial probability distribution 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.

62% of the voters are Democrats

This means that $p = 0.62$

(a) What is the probability that two independently surveyed voters would both be Democrats?

This is P(X = 2) when n = 2. So

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

$P(X = 2) = C_{2,2}.(0.62)^{2}.(0.38)^{0} = 0.3844$

0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats

3 0

3 years ago

Y is directly proportional to x.

Anna35 [415]

Answer: Our required equation would be

Step-by-step explanation:

Since we have given that

y=30, when x = 6.

As there is direct proportion between x and y.

so, it becomes,

So, the equation connecting y and x would be

When we put the value of k, we get that

Hence, our required equation would be y=5x

5 0

1 year ago

Suppose you make hot chocolate. It's too hot to drink, so you put it in the freezer to cool it off. If the original temperature

grandymaker [24]

Answer:

B.) 132.56 degrees

Step-by-step explanation:

8 0

2 years ago

Suppose y varies directly with x. if y=-3 when x=5 find y when x=-1

Scrat [10]

$\bf \begin{array}{cccccclllll}
\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
y&=&{{ k}}&\cdot&x

&& y={{ k }}x
\end{array}
\\ \quad \\
\textit{we know that, when}
\begin{cases}
y=-3\\
x=5
\end{cases}\implies y=kx\implies (-3)=k(5)$

solve for "k", to find the "constant of variation",
then plug it back in the y = kx, to get the equation
now
what's is y when x = -1?
well, just plug that in the equation with the found "k" value,
to get "y" :)

3 0

3 years ago

Read 2 more answers