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Arturiano [62]

-3 + 8 is also the same as the expression mentioned above.

We can have the basic inequalities and equalities’ sign. (>, =, <).
These three set of symbols can discern, describe and explain the relationship between of numbers. These signs are used varying in many mathematical operations to explain and find discrepancy between value, sets of values or numbers in single and equitable category.
Examples includes
6 > 5; 6 is greater than 5; 5 is less than 6
1 > -1; -1 is less than 1; 1 is greater than -1
-2 = -2; -2 is equal to -2

7 0

4 years ago

Andy is scuba diving.He starts at sea level and then descends 10 feet in 2 1/2 minutes.

Yuri [45]

Descent = 10 feet
Time required = 2 1/2 minutes.
The rate of descent = (10 feet)/(2.5 mn) = 4 ft/min

In 6 minutes, the descent will be
(4 ft/min)*(6 min) = 24 ft

Answer:
(a) 4 feet/minute
(b) 24 feet

4 0

3 years ago

The graphs of two linear equations ax + by = c and bx - ay = c, where a, b, c are all not equal to zero.

marin [14]

Let us find the slopes of the two lines

ax+by=c, slope m1 = -a/b

bx-ay=c, slope m2 = b/a

m1*m2 = (-a/b)(b/a) = -1

Therefore the two lines are perpendicular so the answer is D

4 0

3 years ago

On a diagram of the arena, the car park’s length is 15 cm. The scale is 1:100. What is the actual length of the car park in metr

marissa [1.9K]

15*100 = 1500 cms
= 15 meters

4 0

3 years ago

Read 2 more answers

A random sample of 500 of these people is drawn, of whom 194 turn out to be currently enrolled in college. Estimate the percenta

Rzqust [24]

Answer:

$0.388 - 2.00\sqrt{\frac{0.388(1-0.388)}{500}}=0.344$

$0.388 + 2.00\sqrt{\frac{0.388(1-0.388)}{500}}=0.432$

The 95.5% confidence interval would be given by (0.344;0.432)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

The estimated proportion on this case is given by:

$p = \frac{X}{n}= \frac{194}{500}=0.388$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95.5% of confidence, our significance level would be given by $\alpha=1-0.955=0.045$ and $\alpha/2 =0.0225$ . And the critical value would be given by:

$z_{\alpha/2}=-2.00, z_{1-\alpha/2}=2.00$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.388 - 2.00\sqrt{\frac{0.388(1-0.388)}{500}}=0.344$

$0.388 + 2.00\sqrt{\frac{0.388(1-0.388)}{500}}=0.432$

The 95.5% confidence interval would be given by (0.344;0.432)

4 0

3 years ago