5. Decide whether each statement is true or false. (1 point each)

gladu [14]

1/4 divided by 2 is the answer

8 0

3 years ago

A software designer is mapping the streets for a new racing game. all of the streets are depicted as either perpendicular or par

ElenaW [278]

The equation of the central street PQ is -1.5x - 3.5y = -31.5 option (b) is correct.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

We have a straight line:

$-7x+3y=-21.5$

Convert it to the general form given below:

$\rm y=mx+c$

$\rm 3y=-21.5+7x\\\\ \rm y = \frac{-21.5}{3}+\frac{7}{3}x$ or

$\rm y = \frac{7}{3}x-\frac{21.5}{3}$

$m = \frac{7}{3}$ (Slope of AB line)

For the slope(m') of the PQ line:

$\rm m'=-\frac{1}{m}$ ( because AB and PQ are perpendicular to each other)

$\rm m' = -\frac{3}{7}$

We know the:

$\rm (y-y')=m'(x-x')$

Where (x', y') = (7, 6), we get:

$\rm (y-6)=-\frac{3}{7} (x-7)$

$\rm 7(y-6)=-3 (x-7)\\\\\rm 7y-42= -3x+21\\\\\rm 7y= -3x+21+42\\\\\rm 3x+7y=63$

$\rm -1.5x-3.5y=-31.5$ (multiply by -1/2 on both sides)

Thus, the equation of the central street PQ is -1.5x - 3.5y = -31.5

Learn more about the straight line.

brainly.com/question/3493733

6 0

1 year ago

The function is f(x) is shown in this graph. Compare the slopes.

Goshia [24]

Answer:I believe the slope is less

Step-by-step explanation:

7 0

2 years ago

Candice is preparing for her final exam in Statistics. She knows she needs an 74 out of 100 to earn an A overall in the course.

Salsk061 [2.6K]

Answer:

Hence the correct option is option b) Yes, the upper level of one standard deviation is 72.

A score of 74 is not within one standard deviation of the mean.

Step-by-step explanation:

Here the given details are,

Mean = 68

SD = 4

Distribution is normal.

Z-score for x = 74 is given as below:

$Z = (X - mean)/SD\\Z = (74 - 68)/4\\Z = 1.5$

So, the score of 74 is 1.5 standard deviations from the mean.

$Mean + 1\timesSD = 68 + 1\times4 = 72Mean - 1\timesSD = 68 - 1\times4 = 64$

Therefore the score is not lies between 64 and 72.

Yes, the upper level of one standard deviation is 72.

3 0

3 years ago

The package of a particular brand of rubber band says that the bands can hold a weight of 7 lbs. Suppose that we suspect this mi

zzz [600]

Answer:

False this value is very likely to find in this distribution

Step-by-step explanation:

With mean 7 ( μ ) and standad deviation (σ ) 2 we can observe, value 6.6 is close to the lower limit of the interval

μ ± 0,5 σ 7 ± 1 in which we should find 68,3 % of all values

(just 6 tenth to the left)

And of course 6.6 is inside the interval

μ ± 1 σ where we find 95.7 % of th value

We conclude this value is not unlikely at all

4 0

3 years ago