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3 years ago

3. A sample of 50 different-colored golf balls was removed from the total number of

Mathematics

1 answer:

Paraphin [41]3 years ago

5 0

Answer:

C. 350

Step-by-step explanation:

A sample of 50 different coloured balls are removed from total golf balls made.

Out of these 50 coloured balls, 8 balls are pink

Now, to calculate the total number of golf balls made,

we can use the concept of proportion

$\frac{number of pink colored balls in sample}{total pink colored balls made}$ = $\frac{number of golf balls taken out as a sample}{ total number of golf balls made}$

$\frac{8}{56} = \frac{50}{total golf balls made}$

total golf balls made = $\frac{50\times56}{8}$

total golf balls made = 350

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670<br> If a die is rolled 3 times, what is the total number of possible outcomes?

Triss [41]

There is to say, for each first roll, we start out with six possibilities; for each of these, there are six possibilities for the second roll; finally, for each second roll, there are six possibilities for the third. So, 6 cubed. So, 216 is our denominator, i.e., the number of all possible outcomes.

Answer: 216

6 0

4 years ago

Consider the sequence of numbers: 3/8, 3/4, 1 /18, 1 1/2, 1 7/8

vredina [299]

Question:

Consider the sequence of numbers: $\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}$

Which statement is a description of the sequence?

(A) The sequence is recursive, where each term is 1/4 greater than its preceding term.

(B) The sequence is recursive and can be represented by the function

f(n + 1) = f(n) + 3/8 .

(D) The sequence is arithmetic and can be represented by the function

f(n + 1) = f(n)3/8.

Answer:

Option B:

The sequence is recursive and can be represented by the function

$f(n + 1) = f(n) + \frac{3}{8} .$

Explanation:

A sequence of numbers are

$\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}$

Let us first change mixed fraction into improper fraction.

$\frac{3}{8}, \frac{3}{4}, \frac{9}{8}, \frac{3}{2}, \frac{15}{8}$

To find the pattern of the sequence.

To find the common difference between the sequence of numbers.

$\frac{3}{4}-\frac{3}{8}=\frac{6}{8}-\frac{3}{8}= \frac{3}{8}$

$\frac{9}{8}-\frac{3}{4}=\frac{9}{8}-\frac{6}{8}= \frac{3}{8}$

$\frac{3}{2}-\frac{9}{8}=\frac{12}{8}-\frac{9}{8}= \frac{3}{8}$

$\frac{15}{8}-\frac{3}{2}=\frac{15}{8}-\frac{12}{8}= \frac{3}{8}$

Therefore, the common difference of the sequence is 3.

That means each term is obtained by adding $\frac{3}{8}$ to the previous term.

Hence, the sequence is recursive and can be represented by the function $f(n + 1) = f(n) + \frac{3}{8} .$

3 0

3 years ago

Diego Rollins is paid $10.20 an hour for a regular 40-hour week at the

Aloiza [94]

Answer:

$1632

Step-by-step explanation:

Hourly pay for Diego = $10.20

Weekly hours = 40 Hours

Basic earning = 10.20 × 40 = $408

Overtime pay = 15 × Hourly rate = 15 × 10.20 = $153

Total overtime = 8 hours

Overtime earning = 153 × 8 = 1224

Total earning for the week = 408 + 1224 = $1632

5 0

3 years ago

Find the distance between points A (10,-1) and B (-2,5). Round to the nearest tenth

bija089 [108]

Answer:

<h2>The answer is 13.4 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A (10,-1) and B (-2,5)

The distance is

$|AB| = \sqrt{ ({10 + 2})^{2} + ({ - 1 - 5})^{2} } \\ = \sqrt{ {12}^{2} + ({ - 6})^{2} } \\ = \sqrt{144 + 36} \: \: \: \: \: \: \: \\ = \sqrt{180} \\ = 6 \sqrt{5} \: \: \\ =13.416407$

We have the final answer as

<h3>13.4 units to the nearest tenth</h3>

Hope this helps you

7 0

3 years ago

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Rasek [7]

It would be 1892.71

6 0

3 years ago