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2 years ago

Please answer with clear instructions so that i can apply this to other questions

Mathematics

1 answer:

marishachu [46]2 years ago

4 0

Answer:

1 and - 1

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope ( gradient ) )

y = x ← is in this form

with gradient m = 1

Parallel lines have equal gradients

Then the gradients of lines parallel to the given line is 1

Given a line with gradient m then the gradient of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{1}$ = - 1

Then the gradients of lines perpendicular to this line is - 1

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For 12 days, Keisha keeps track of how much water she drinks per day. her results are shown below

mezya [45]

The total amount of water that Kiesha drinks in 12 days is 20 quarts

The average amount of water she drinks per day is 1 2/3 quarts

The number of days that Keshia drinks at least the average amount of water is 6 days

If she drinks 1 quart of day 13, the average reduces.

<h3>What is the average ?</h3>

The total amount of water drank in the 12 days can be determined by adding the quarts for each day together. When they are added together, the number is 20 quarts.

Average = total amount drank / number of days 1 2/3 quarts

New average = 20 + 1 / 13 = 21 / 13 = 1 7/13 quarts

The average reduces because the quart drank on the 13th day is less than the amount of water drank on the other days.

To learn more about the division of fractions, please check: brainly.com/question/25779356

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6 0

2 years ago

How do you write 35 feet above sea level? A) -35 B) +35 C)/35 D) 35%

NeTakaya

Answer:

Step-by-step explanation:

8 0

3 years ago

You plant a rectangular rose garden along the side of your garage. you enclose 3 sides of the garden with 40 feet of fencing. th

ycow [4]

Let x be the length of the garden
and y be the width of the garden.

since you only enclose 3 sides of the garden by a 40 ft fence. so the equation for this is:

2x + y = 40

and the area of the garden is 100 sq ft, so in equation
xy = 100
from equation 1, 2x + y = 40
y = 40 - 2x
substitute to equation 2

xy = 100
x ( 40 - 2x) = 100
40x - 2x^2 = 100
2x^2 - 40x + 100 = 0

x = 2.9 ft
y = 34.5 ft

5 0

3 years ago

PLEASE HELP

zhuklara [117]

Beck add like terms so you get
4x^2 -4x-15
lucy factor our negative so you left with -4x^2 +5x -10 +8x^2 -9x -5
simplify 4x^2 -4x -15
therefore both students answers simplify to 4x^2 -4x -15

7 0

2 years ago

Twelve jurors are randomly selected from a population of 4 million residents. Of these 4 million residents, it is known that 46

vekshin1

Answer: a) 0.17, b) 0.0363

Step-by-step explanation:

Since we have given that

Number of jurors selected = 12

Number of minorities of jurors = 2

(a) What proportion of the jury described is from a minority race? 

$\dfrac{2}{12}=\dfrac{1}{6}=0.166666\approx0.17$

(b) If 12 jurors are randomly selected from a population where 46% are minorities, what is the probability that 2 or fewer jurors will be minorities?

Let X be the number of jurors who are minorities.

Probability of getting minorities = 0.46

Probability of getting no minorities = 1-0.46 =0.54

$P(X\leq 2)=^{12}C_0(0.54)^{12}+^{12}C_1(0.46)(0.54)^{11}+^{12}C_2(0.46)^2(0.54)^{10}\\\\P(X\leq 2)=0.0363$

(c) What might the lawyer of a defendant from this minority race argue?

Since the number of minorities juror are high among the population.

Hence, a) 0.17, b) 0.0363

7 0

3 years ago