A scale drawing of a game room is shown below:

How do you find the slope of a line perpendicular to a given line?

enyata [817]

You have a line:
y=mx+b (slope-intercepted form)
m=slope of this line.

The slope of a line perpendicular to that given line will be: ´"m´"
m´=-1/m.

For example:
y=8x+3
m=8

The solpe fo a line perpendicular to "y=8x+3" is:
m`=-1/8

5 0

2 years ago

With a little care, you can find the median and the quartiles from the histogram. what are these numbers? you can also find the

coldgirl [10]

Complete Question

The histogram from this question is shown on the first uploaded image

Answer:

The first quartile is $1st Q = 19^{th} girl (subject ) = 1 \serving\ of\ fruit\ per\ day$

The median is $Median = 38 ^{th} \ girl (subject) = 2 \serving\ of\ fruit\ per\ day$

The third quartile is $3rd Q = 56^{th} \ girl (subject) = 4 \serving\ of\ fruit\ per\ day$

The mean is $\= x = 2.62$

Step-by-step explanation:

From the question we are told that

The total number of girls is n = 74

Generally the median is mathematically represented as

$Median = \frac{\frac{n}{2} +[ \frac{n}{2} + 1] }{2}$

So

$Median = \frac{\frac{74}{2} +[ \frac{74}{2} + 1] }{2}$

=> $Median = \frac{37 +38 }{2}$

=> $Median =37.5 \ girl$

From the histogram $37.5 \approx 38^{th} \ girl$ fall under 2 fruits per day

Generally the first quartile is mathematically represented as

$1st \ Q = \frac{\frac{n}{4} + [\frac{n}{4} + 1] }{2}$

=> $1st \ Q = \frac{\frac{74}{4} + [\frac{74}{4} + 1] }{2}$

=> $1st \ Q = 19 \ girl$

From the histogram $19^{th}$ girl fall under 1 fruit per day

Generally the third quartile is mathematically represented as

$3rd\ Q = \frac{\frac{n}{2} + n }{2}$

=> $3rd\ Q = \frac{\frac{74}{2} + 74 }{2}$

=> $3rd\ Q = 55.5$

From the histogram $55.5 \approx 56^{th} \ girl$ fall under 4 fruits per day

Generally from the histogram table the frequency [number of subjects (girls) ] and the servings of fruit per day can be represented as

Total

x(servings per day ) 0 1 2 3 4 5 6 7 8

f (number of subjects ) 15 11 15 11 8 5 3 3 3 $\sum f = 74$

xf 0 11 30 33 32 25 18 21 24 $\sum xf = 194$

Generally the mean is mathematically represented as

$\= x = \frac{1}{ \sum f} * [\sum xf]$

=> $\= x = \frac{1}{ 74} *194$

=> $\= x = 2.62$

4 0

2 years ago

When the stranger came into the forest, 37 percent of the people ran to hide. If 2520 refused to hide, how many people lived in

STALIN [3.7K]

Is 37% Ran to hide then 63% refuse to hide

63/2520= 37/X
63x= 93240
Divide by 63
X= 1480 Ran to hide
2520+1480=4,000 total --------------
4,000 people lived in the forest

7 0

3 years ago

A low calorie dinner has 480 calories in an 9 ounce serving. What is the unit rate in simplest form? 9/48 160/3 48/9 3/160

LenaWriter [7]

Answer:Hi, the correct answer is $\frac{160}{3}$ .

Step-by-step explanation:

As you are being asked for rate and the importat value is the number of calories consumed. We need to simplify the fraction $\frac{480 calories}{9 ounce}$ . Then we simplify.