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3 years ago

The wheel on a car completes

Mathematics

1 answer:

mars1129 [50]3 years ago

4 0

Answer:

Step-by-step explanation:

Let d be the diameter of the wheel.

Circumference = πd

(35.325 m)/(25 revolutions) = (1.413 m)/revolution

πd = 1.413

d = 1.413/π = 0.45 m

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Brian was scuba diving at the Great Barrier Reef in Australia. After he jumped in the water, he descended 18 feet. Then he rose

Levart [38]

amswer:

-13 feet

step by step:

-18+5=-13

8 0

3 years ago

High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capa

zalisa [80]

Answer:

The students have to score 0.74 standard deviations above the mean to be publicly recognized.

Step-by-step explanation:

A random variable X is said to have a normal distribution with parameters µ (mean) and σ² (variance).

If $X \sim N (\mu, \sigma^{2})$ , then $z=\frac{X-\mu}{\sigma}$ , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, $Z \sim N (0, 1)$ .

The distribution of these z-scores is known as the standard normal distribution.

The z-score is a standardized form of the raw score, X. It is a numerical measurement of the relationship between a value (X) and the mean (µ) in terms of the standard deviation (σ). A z-score of -1 implies that the data value is 1 standard deviation below the mean. And a z-score of 1 implies that the data value is 1 standard deviation above the mean.

Let X be defined as the scores of students at the National Financial Capability Challenge Exam.

It is provided that the students who score in the top 23% are recognized publicly for their achievement by the Department of the Treasury.

That is, P (X > x) = 0.23.

⇒ $P(\frac{X-\mu}{\sigma}>\frac{x-\mu}{\sigma})=0.23$

⇒

$P(Z>z)=0.23\\1-P(Z$

The value of z for this probability value is:

z = 0.74.

*Use a z-table.

Thus, the students have to score 0.74 standard deviations above the mean to be publicly recognized.

8 0

3 years ago

Identify az of this sequence: 0.25, 0.5, 0.75, 1, 1.25. 1.5

4vir4ik [10]

<h3>Question:</h3>

Identify a3 of this sequence: 0.25, 0.5, 0.75, 1, 1.25, 1.5,...a3=

<h3>Answer:</h3>

The third term of sequence is 0.75

$a_3 = 0.75$

<h3>Solution:</h3>

Given that, sequence is:

0.25, 0.5, 0.75, 1, 1.25. 1.5

Let us find the difference between terms

$0.5 - 0.25 = 0.25\\\\0.75-0.5 = 0.25\\\\1.25-1=0.25\\\\1.5-1.25=0.25$

This is a arithmetic sequence

Because the difference between any term and its immediately preceding term is always 0.25

In a arithmetic sequence,

$a_1 = \text{ first term of sequnece }\\\\a_2 = \text{second term of sequnce }\\\\a_3 = \text{third term of sequnece }\\\\a_n = \text{ nth term of sequnce }$