Start at 3. Create a pattern that multiplies each number by 3. Stop when you have 5 numbers

1. An inflatable beach ball has a circumference of 141.3 centimeters. What is the volume of the beach ball when fully inflated?

Tema [17]

1) The volume of the beach ball when fully inflated is 47690 cubic centimeters.

2) The value of x is 3.

Step-by-step explanation:

It is given that, an inflatable beach ball has a circumference of 141.3 centimeters.

1) To find the volume of the beach ball :

Use the formula for volume of sphere to find the volume of beach ball when fully inflated.

Volume of sphere = (4/3)πr³

where, r is the radius of the sphere and π has the default value of 3.14.

To find the radius :

The given circumference is 141.3 = 2πr

⇒ r = 141.3 / 2π

⇒ r = 141.3 / (2×3.14)

⇒ r = 141.3 / 6.28

⇒ r = 22.5

Now, substituting r= 22.5 in the volume of sphere formula

Volume of sphere = (4/3) ×3.14× (22.5)³

⇒ 4/3 ×3.14 ×11391

⇒ (12.56×11391) / 3

⇒ 47690 cubic centimeters

The volume of the beach ball when fully inflated is 47690 cubic centimeters.

2) The given equation is $4^{x} = 64$

⇒ 64 = 4×4×4

⇒ 64 = 4³

Therefore, the value of x is 3.

6 0

3 years ago

Will make brainliest!

mestny [16]

Answer:

∠4 and ∠12

A is correct

Step-by-step explanation:

Parallel lines r and s are cut by two transversals, parallel lines t and u

r || s and t || u

We are four parallel line. Two parallel line cuts two another parallel line.

Angle 8 is form by intersection of s and t line.

Corresponding angle: When two parallel lines are crossed by transversal line, the angles at matching corners are called corresponding angles.

For angle 8, t || u with s is transveral line.

Thus, ∠8 = ∠12 (By definition of corresponding angle)

For angle 8, s || r with t is transveral line.

Thus, ∠8 = ∠4 (By definition of corresponding angle)

Hence, ∠4 and ∠12 are corresponding angle of ∠8

8 0

3 years ago

Read 2 more answers

A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean l

skad [1K]

Answer:

0.9922 = 99.22% probability that the mean monitor life would be greater than 81.2 months in a sample of 146 monitors.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .