Assemble the proof by dragging tiles to the statements and reasons columns

The resting heart rates for 80 women aged 46–55 in a simple random sample are normally distributed, with a mean of 71 beats per

Jlenok [28]

Given:
Confidence level = 90%
mean = 71 beats per minute
standard deviation = 6 beats per minute

margin of error = z * δ / √n

where : δ - population of the standard deviation, n is the sample size ; z is the appropriate z value.

90% confidence level = 1.645 in z-value

margin of error = 1.645 * (6/√80) = 1.645 * (6/8.94) = 1.645 * 0.671 = 1.104

8 0

1 year ago

Read 2 more answers

A cyclist travels 4 miles in 20 minutes. At this rate, how many miles does the cyclist travel in 30 minutes?

marshall27 [118]

Answer:

6

Step-by-step explanation:

20 mins. divided by 4 is 1mi./5 minute

so 1 miles in 5 minute

30 minutes divided by 5 is 6

so 6 miles in 6 minutes

6 0

1 year ago

Three percent of Jennie’s skin cells were burned when she escaped from a fire. If 3.7×10’(of her skin cells were burned then, ho

lora16 [44]

Answer:

The quantity of Jennie's skin cell were not burned is 119.601 × $10^{10}$ .

Step-by-step explanation:

Given as :

The percentage of Jennie's skin cell were burned = 3 %

The quantity of Jennie's skin cell were burned = 3.7 × $10^{10}$

Let The quantity of Jennie's skin cell were not burned = x

Let Total quantity of whole skin cell = n

<u>Now, According to question</u>

The quantity of Jennie's skin cell were burned = Total quantity of whole skin cell × percentage of Jennie's skin cell were burned

i.e 3.7 × $10^{10}$ = n × 3 %

Or, 3.7 × $10^{10}$ = n × $\dfrac{3}{100}$

Or, n = 3.7 × $10^{10}$ × $\dfrac{100}{3}$

Or, n = $\frac{3.7\times 10^{12}}{3}$

i.e n = 1.233 × $10^{12}$

Or, Total quantity of whole skin cell = n = 1.233 × $10^{12}$

<u>Now, Again</u>

∵ percentage of Jennie's skin cell were burned = 3 %

So, percentage of Jennie's skin cell were not burned = 100 % - 3 % = 97 %

so , The quantity of Jennie's skin cell were not burned = 97 % of Total quantity of whole skin cell

Or, x = $\frac{97}{100}$ × n

Or, x = $\frac{97}{100}$ × 1.233 × $10^{12}$

∴ x = 119.601 × $10^{10}$

So, The quantity of Jennie's skin cell were not burned = x = 119.601 × $10^{10}$

Hence, The quantity of Jennie's skin cell were not burned is 119.601 × $10^{10}$ . Answer

6 0

2 years ago

Suppose you own 125 shares of Wal-Mart, which pay a dividend of $0.30 per share per year. How much will you receive in dividends

Jlenok [28]

It would be $187.50 for all 5 years

6 0

2 years ago

Read 2 more answers

It costs dylan $x$ dollars to buy $3$ tickets to the zoo. he discovers that if he were to buy $5$ tickets, he would receive a to

jonny [76]

So, if Dylan has x dollars and he bought 3 tickets with them, the tickets were priced at k dollars per ticket. If he bought 5 tickets with the x dollars and saved 12 total dollars, it would be the same as buying the tickets with x-12 dollars, so we have:

$\frac{x}{3}=k\\ \frac{x-12}{5}=q$

So, with this we have:

$x=3k\\ x=5q+12$

If we're looking for a number that satisfies these constraints, we can work with modular arithmetic. We have:

$x\equiv 0 \pmod{3}\\ x\equiv 12 \pmod{5}$

So, we can use the chinese remainder theorem here. So, we clearly have x=3k, which means:

$3k\equiv12 \pmod{5} \implies\\ k \equiv 4 \pmod{5} \implies\\ k=5j+4$

So, since we have x=3k, we also have x=3(5j+4)=15j+12.

So, clearly j=0 won't work so we should have j=1. That means our money per ticket for the five tickets is:

$\frac{27-12}{5}=3$

And our money per three tickets is:

$\frac{27}{3}=9$

This is easily verifiable. Three tickets needs 27 dollars and 5 tickets needs 15 dollars, which is 12 less than 27 dollars. So we have our money per three dollar ticket at 6 more than money per five dollar.

4 0

1 year ago

Read 2 more answers

Assemble the proof by dragging tiles to the statements and reasons columns￼

Assemble the proof by dragging tiles to the statements and reasons columns