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3 years ago

7

61% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a pr

ofessional baseball fan. Find the probability that the number who consider themselves baseball fans is (a) exactly five, (b) at least six, and (c) less than four.

1 answer:

Aloiza [94]3 years ago

3 0

(b) at least six is the answer

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Solve v^3 = -26 where v is a real number.<br> Simplify your answer as much as possible.

il63 [147K]

Answer:

nearby -3

Step-by-step explanation:

When v^3 is -26, your v is equal to $-\sqrt[3]{26}$ .

3^3 is 27, so v is nearby 3.

or, It would be nearby 3.9

5 0

2 years ago

Plz help with the math worth 21 points

irinina [24]

Answer:

As there is one math problem over there.

Lets see the question first:

It says that "A hair dryer is rated $1200\ W$ ,if you use the dryer for $0.25\ h$ .How much electric energy do you use ?"

Final answer = Electic energy $=0.3\ kW\ h$

Step-by-step explanation:

Electrical Energy $E=Power \times time$ .

The total amount of electrical energy used depends on the total power used by the electrical device and the total time they are used for.

So we have been given the power of the hair dryer $=1200\ W =\frac{1200}{1000}=1.2\ kW$

Now the time it has been use for $=0.25\ hrs$

To calculate electric energy we will multiply both the terms.

Electric energy $=0.12 \times 0.25 =0.3\ kW\ h$

So electric energy used for the hairdryer is = $0.3\ kW\ h$

7 0

3 years ago

A triangle has side lengths 24,143 and 145 is it a right triangle?

kykrilka [37]

Answer:

yes last one

Step-by-step explanation:

7 0

2 years ago

Find three positive numbers whose sum is 140 and whose product is a maximum. (Enter your answers as a comma-separated list.)

Paladinen [302]

Answer:

$\frac{140}{3}, \frac{140}{3}, \frac{140}{3}$

Step-by-step explanation:

Let the numbers be $x, y\ and\ z.$

Such that:

$x + y + z = 140$

Make z the subject

$z = 140 -x - y$

For their product to be maximum, we have:

$f(x,y,z) = xyz$

Substitute $z = 140 -x - y$ in $f(x,y,z) = xyz$

$f(x,y) = xy(140 - x - y)$

Open bracket

$f(x,y) = 140xy - x^2y - xy^2$

Differentiate w.r.t x and y

$f_x=140y - 2xy - y^2$

$f_y=140x - x^2 - 2xy$

Since the products are maximum, then $f_x = f_y = 0$

For $f_x=140y - 2xy - y^2$

$140y - 2xy - y^2 = 0$

Factorize:

$y(140 - 2x - y) = 0$

Split

$y = 0\ or\ 140 - 2x - y = 0$

Make y the subject

$y = 0\ or\ y = 140 - 2x$

For $f_y=140x - x^2 - 2xy$

$140x - x^2 - 2xy = 0$

---------------------------------------------------

Substitute y = 0

$140x - x^2 -2x*0 = 0$

$140x - x^2 = 0$

Factorize

$x(140 - x)= 0$

$x = 0\ or\ 140-x = 0$

$x = 0\ or\ x = 140$

---------------------------------------------------

Substitute $y = 140 - 2x$

$140x - x^2 - 2xy = 0$

$140x - x^2 - 2x(140 - 2x) = 0$

$140x - x^2 - 280x + 4x^2 = 0$

Re-arrange

$4x^2 -x^2 +140x - 280x = 0$

$3x^2 -140x = 0$

Factor x out

$x(3x - 140) = 0$

Divide through by x

$3x - 140 = 0$

$3x = 140$

$x = \frac{140}{3}$

Recall that: $y = 140 - 2x$

$y = 140 - 2 * \frac{140}{3}$

$y = 140 - \frac{280}{3}$

Take LCM

$y = \frac{140*3-280}{3}$

$y = \frac{140}{3}$

Recall that:

$z = 140 -x - y$

$z = 140 - \frac{140}{3} - \frac{140}{3}$

Take LCM

$z = \frac{3 * 140- 140 - 140}{3}$

$z = \frac{140}{3}$

Hence, the numbers are:

$\frac{140}{3}, \frac{140}{3}, \frac{140}{3}$

8 0

2 years ago

Brian needs to buy some pencils bread I had a pack of 12 pencils for 298 when we has a pack of a pack of 18 pencils for 499 find

AlekseyPX

Answer:

The pack of 12 pencils for 298 is better as it has a lower unit price.

Step-by-step explanation:

To be able to find the answer, you have to calculate the unit price for each brand by dividing the price of the pack by the number of pencils in the pack.

-298/12=24.83

-499/18=27.72

According to this, the answer is that the pack of 12 pencils for 298 is better as it has a lower unit price.

8 0

3 years ago