Find the surface area of the rectangular prism

A baseball player hit 6060 home runs in a season. Of the 6060 home runs, 1919 went to right field, 2020 went to right center

m_a_m_a [10]

Answer: (a) 0.317

(b) 0.167

(c) Not unusual

Step-by-step explanation:

Probability is defined as the chance of an event occurring.

Let S be a sample space and A be an event in the sample space, the probability of event A occurring can be found using the following:

P(A) = n(A) divided by n(S) where n(A) = number of elements in event A and n(S) = number of elements in the sample space.

(a) P(Right field) = Number of hits to the right field divided by total number of hits

= 1919/6060

= 19/60 which is approximately equal to 0.317

(b) P(Left field) = 1010/6060

= 1/6 which is approximately equal to 0.167

(c) The probability that the home run was hit to the left field is 0.167.

The probability of an unusual event is 0, therefore, it is possibly for the

player to hit a home run to the left.

8 0

3 years ago

PLEASE HELP ME thank you<br><br> answer needs to be in simplest radical form <br><br> find d

sweet [91]

Answer:

$d=10$

Step-by-step explanation:

Pythagorean theorem:

$d^2+d^2=10\sqrt{2}^2,\\2d^2=200,\\d^2=100,\\d=\boxed{10}$

Alternative:

$\cos 45^{\circ}=\frac{d}{10\sqrt{2}},\\\frac{\sqrt{2}}{2}=\frac{d}{10\sqrt{2}},\\2d=10\sqrt{2}\cdot \sqrt{2},\\2d=20,\\d=\boxed{10}$

Alternative (derived from the Pythagorean theorem):

All 45-45-90 triangles have side lengths $x-x-x\sqrt{2}$ , where $x\sqrt{2}$ is the hypotenuse. Since this triangle's hypotenuse is $10\sqrt{2}$ , its sides are $10-10-10\sqrt{2}$ .

3 0

3 years ago

Read 2 more answers

Which equation is equivalent to log subscript 3 baseline (x 5) = 2? 3 squared = left-bracket log subscript 3 baseline (x 5) righ

wolverine [178]

The equation that is equivalent to the considered equation of log is given by: Option E: 2^3 = x+5

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get $a^b = c$

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

$b = \log_a(c)$

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Some properties of logarithm are:

$\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) \times log_b(c) = \log_a(c)$

Log with base e = 2.71828... is written as $\ln(x)$ simply.

Log with base 10 is written as $\log(x)$ simply.

The equation given is:

$\log_3(x+5) = 2$

By using the definition of log, which says $a^b = c \leftrightarrow \log_a(c) = b$ , we get:

$(x+5) = 2^3$ or $2^3 = x+5$

Thus, the equation that is equivalent to the considered equation of log is given by: Option E: $2^3 = x+5$

(we used the fact that the question is asked in a way that expresses that there is only one equivalent equation. Plus we used the fact that as option E is a sure equivalent version, so it is correct option).

Thus, the equation that is equivalent to the considered equation of log is given by: Option E: $2^3 = x+5$

Learn more about logarithm here:

brainly.com/question/20835449

4 0

2 years ago

Ashley is making cookies for the party. Each batch of cookies takes 0.75 cup of sugar. If she

____ [38]

Answer:

5/25

Step-by-step explanation:

she will need 5.25 sugar if she mak eit with batches

5 0

3 years ago

What is X:<br> 3x−22=44<br> 5/6 = 10/2x−3

Rom4ik [11]

Answer:

x = 22

x = 4,6

Step-by-step explanation:

3x - 22 = 44

3x = 44 + 22

3x = 66

x = 66/3

x = 22

5/6 = 10/2x - 3

5/6 + 3 = 10/2x

5/6 + 18/6 = 10/2x

23/6 = 10/2x

23/6 * 2 = 10x

46 = 10x

x = 46/10

x = 4,6

5 0

3 years ago