All categories

4 years ago

Comparing unit rates

Mathematics

1 answer:

Yuki888 [10]4 years ago

4 0

Answer:

Step-by-step explanation:

The probability that Liu Yang makes a three-point shot in basketball is 10\%10%10, percent. For practice, Liu Yang will regularly shoot a series of these shots until she makes one. She's curious how many shots it will typically take her to get her first successful shot.

She simulated 303030 trials of three-point shots where each shot had a 0.10.10, point, 1 probability of being made, and in each trial, she counted how many shots it took to get the first successful shot. Here are her results:

Use her results to estimate the probability that it takes 111111 or more shots to get her first successful shot.

Give your answer as either a fraction or a decimal.

You might be interested in

two interior angles of a pentagon measures 112 degrees and 68 degrees and the remaining angles are of the same measures. Find th

jarptica [38.1K]

Answer:

120°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 since a pentagon has 5 sides, thus

sum = 180° × 3 = 540°

let x be the measure of the 3 equal angles

Sum the interior angles and equate to 540

112 + 68 + 3x = 540, that is

180 + 3x = 540 ( subtract 180 from both sides )

3x = 360 ( divide both sides by 3 )

x = 120

Hence the measure of each equal interior angle is 120°

6 0

3 years ago

Read 2 more answers

Jan 258:00:56 AM

horsena [70]

Answer:

The equation of the straight line in point-slope form

$y - 4 = \frac{7}{9} (x-0)$

The equation of the straight line

7x -9y +36 =0

Step-by-step explanation:

Step(i):-

Given that the points (0,4) and (-9,-3)

The slope of the line

$m = \frac{y_{2} - y_{1} }{x_{2}- x_{1} } = \frac{-3-4}{-9-0} = \frac{7}{9}$

Step(ii):-

Equation of the straight line passing through the point (0,4) and having slope m = 7/9

$y - y_{1} = m (x-x_{1} )$

$y - 4 = \frac{7}{9} (x-0)$

9 y - 36 = 7x

9y = 7x + 36

$y = \frac{7x}{9} +\frac{36}{9}$

Slope - intercept form

$y = \frac{7x}{9} +4$

Final answer:-

The equation of the straight line in point-slope form

$y - 4 = \frac{7}{9} (x-0)$

The equation of the straight line

7x -9y +36 =0

8 0

3 years ago

Eleanor has and 8 times 10 garden, she has 30 square yards of tomatoes. How does the percentage of tomatoes in Elanor's garden c

DanielleElmas [232]

Answer:

we are finding the least common multiple

the least common multiple of 2and3 is 6

Step-by-step explanation:

6 0

3 years ago

What is the simplified form of the expression 3a + 7 - a - 7

Sonja [21]

You can simplify expressions by simplifying parentheses by using the distributive property and combing like terms.

Combining like terms is the process of adding up numbers with the same variable(s) and exponent. If a term does not have an exponent then an exponent of 1 is implied.

There is no parentheses in the expression 3a + 7 - a - 7
But, there are like terms in the expression.

Which are the like terms?

3a and a are both like terms. They both have the same variables and they both have the same exponent.

7 and -7 are like terms, too.

3a + 7 - a - 7
2a

So, 2a is the simplified version.

6 0

3 years ago

Read 2 more answers

The set notation of [-5,16) is?

valentina_108 [34]

Answer: $\left\{x | x \in \mathbb{R}, \ -5 \le x < 16\right\}$

=======================================================

Explanation:

We have some number x such that x is a real number, so we write that as $x \in \mathbb{R}$ which is saying "x is in the real number set".

The portion $-5 \le x < 16$ is how x is restricted. This means x can be -5 or larger, but also must be smaller than 16.

This is from the interval notation [-5, 16). The square bracket means we include -5 as part of the interval, but we exclude 16 because of the curved parenthesis.

The curly braces surrounding everything indicates that we have a set of values.

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

Side note:

If x is an integer, then we can get this roster set {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} showing all of the integers between -5 and 16, including -5 but excluding 16.

Though chances are your teacher will want you to stick to real numbers rather than just integers.

4 0

4 years ago