All categories

3 years ago

HELPWW!

Mathematics

1 answer:

yan [13]3 years ago

5 0

The answer is A. The line would run through the point (-6,8) and run parallel to the x -axis, tangent to the circle.

You might be interested in

A biotechnology company partially finances ongoing research projects at several North American universities. The annual support

Dafna1 [17]

Answer:

The probability that the support granted for 44 projects will not exceed the annual budget is P=0.691.

Step-by-step explanation:

The question is incomplete:

A biotechnology company partially finances ongoing research projects at several North American universities. The annual support granted for each project is determined by the progress of the project and has a mean of $22,115 and a standard deviation of $8,145. The company has an annual budget of $1,000,000 for supporting research activities. What is the probability that the support granted for 44 projects will not exceed the annual budget? Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.

We have to calculate the parameters of the distribution of the sum of money for 44 projects.

We apply the rules for the sum of random variables for the mean and standard deviation.

$\mu_s=n\mu=44*22,115=973,060\\\\\sigma_s^2=n\sigma^2\rightarrow \sigma_s=\sqrt{n}\sigma=\sqrt{44}*8,145=6.6332*8,145\\\\ \sigma_s=54,027.8178$

We can calculate the probabilities of being under the budget as:

$z=(X-\mu_s)/\sigma_s=(1,000,000-973,060)/54,027.8178\\\\z=26,940/54,027.8178=0.4986\\\\P(X$

It is assumed that the sum of projects money will follow a normal distribution.

4 0

4 years ago

The diagonal of a square is x units. What is the area of the square in terms of X?

lesantik [10]

Answer:

$\frac{1}{2}x^2$ square units

Step-by-step explanation:

The simple formula we need here is:

$d=s\sqrt{2}$

Where

d is length of diagonal

s is length of side of square

Let's find side length of square from information given:

$d=s\sqrt{2} \\x=s\sqrt{2} \\s=\frac{x}{\sqrt{2}}$

Now,

we know area of square is $s^2$

We know s, and now we find area

Area = $s^2\\(\frac{x}{\sqrt{2}})^2\\\frac{x^2}{2}\\\frac{1}{2}x^2$

The first answer choice is right, 1/2x^2 sq. units.

5 0

3 years ago

Vicente se gasta 20 euros en un pantalón y una camisa. No sabe el precio de cada prenda, pero sí sabe que la camisa vale dos qui

Vlad1618 [11]

Answer:

14.3€

Step-by-step explanation:

Let:

$C=Price\hspace{3}of\hspace{3}the\hspace{3}shirt\\P=Price\hspace{3}of\hspace{3}the\hspace{3}pants\\T=Total\hspace{3}cost$

Now, let's write the data provided by the problem, using algebraic notation.

The total cost of the clothes is 20€, so:

$P+C=T\\\\P+C=20$

The price of the shirt is :

$C=\frac{2}{5} P$

Replacing this value into the first equation:

$P+\frac{2}{5} P=20$

Solving for P:

$\frac{7}{5} P=20\\\\P=\frac{100}{7} \approx 14.3$

So, the price of the pants is 14.3€ and the price of the shirt is:

$C+14.3=20\\\\C=20-14.3=5.7$

Translation:

Deja que:

$C=Precio\hspace{3}de\hspace{3}la\hspace{3}camisa\\P=Precio\hspace{3}del\hspace{3}pantalon\\T=Costo\hspace{3}total$

Ahora, escribamos los datos proporcionados por el problema, usando notación algebraica.

El costo total de la ropa es de 20 €, entonces:

$P+C=T\\\\P+C=20$

El precio de la camisa es:

$C=\frac{2}{5} P$

Reemplazando este valor en la primera ecuación:

$P+\frac{2}{5} P=20$

Resolviendo para P:

$\frac{7}{5} P=20\\\\P=\frac{100}{7} \approx 14.3$

Entonces, el precio del pantalón es de 14.3 € y el precio de la camisa es:

$C+14.3=20\\\\C=20-14.3=5.7$

8 0

3 years ago

ben has 8 rows of math problem to answer each row has 5 problems. how many problems dose ben have to answer?

storchak [24]

40 problems because 8 times 5 is 40

5 0

3 years ago

Read 2 more answers

$20,000 for 14 years compounded at 8% semiannually results in how many periods

rjkz [21]

13 months at $1501.00 per month

3 0

4 years ago