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3 years ago

32 divided by 2(2^3 -4)

Mathematics

1 answer:

Irina18 [472]3 years ago

7 0

First, you solve the exponent: 2(8-4)
—————
32
Do PEMDAS

2(4)
——
32

8
—
32

1
—
4

That’s your final answer :)

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Your answer is incorrect.

svp [43]

Answer:

that will be 384.31 I think

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3 years ago

Consider an experiment in which a fair coin is tossed until a head is obtained for the first time. If this experiment is perform

pychu [463]

Answer:

$P(A_1 = A_2 =A_3) = \frac{1}{1-\frac{1}{8}} -1 =\frac{1}{7}$

Step-by-step explanation:

For this case we assume that the probability of obtain a head is 1/2

$P(H) =\frac{1}{2}$

We are conducting the experiment 3 times. And we want the probability that exactly the same number of tosses will be required for each of the 3 performances.

We can model the situation like this. Let $A_i$ the number of tosses used in the performance, for this case $A_i \geq 1$

And the distribution for $A_i$ would be a negative binomial with the following mass function:

$P(A_i = r)= (1-\frac{1}{2})^{r-1} \frac{1}{2}= (\frac{1}{2})^r$

Now we need to assume that the 3 performaces are independent from each other and we want this:

$P(A_1 = A_2 =A_3) =\sum_{r=1} P(A_i = r)^3$

And we can since we have the mass function we can replace:

$P(A_1 = A_2 =A_3) =\sum_{r=1} (\frac{1}{2})^{3r}$

$P(A_1 = A_2 =A_3) = \sum_{r=1} (\frac{1}{8})^r$

And as we can see we have a geamotric series and we can find the probability like this:

$P(A_1 = A_2 =A_3) = \frac{1}{1-\frac{1}{8}} -1 =\frac{1}{7}$

8 0

4 years ago

A cylinder has a volume of 198 and base has an area of 22 what is the height o the cylinder

Mumz [18]

Answer:

Step-by-step explanation:

The base of the cylinder is in the shape of a circle:

Area of the base= $\pi *r^2$

For Base area=22 square units

$22=\pi *r^2$

$22=3.14*r^2\\r^2=22/3.14\\r^2=7.01\\r=\sqrt{7.01}$

Volume of the cylinder= $\pi *r^2*h$

For volume '198 cubic units' the height(h) is:

$198=\pi *r^2*h$

$198=3.14*(\sqrt{7.01})^2*h$

$198=3.14*7.01*h\\\\198=22.01*h\\\\198/22.01=h\\\\h=9 units\\$

4 0

3 years ago

Find the slope of the line passing through the points (4,8) (1,6)

earnstyle [38]

Slope is rise /run so 6-8/1-4= -2/-3 the negative cancels out so the slope is 2/3

3 0

4 years ago

Read 2 more answers

Ranger says the expression is not in its simplest form. He thinks the two terms need to be combined. Is Ranger right that 8x − 2

ladessa [460]

Answer:

4(2x - 5)

Step-by-step explanation:

Rewrite "20" as 4 * 5

Rewrite "8" as 4 * 2

=4 * 2x - 4 * 5

Factor out common term "4"

=4(2x - 5) <------ Your answer.

5 0

3 years ago

Read 2 more answers