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3 years ago

Which lines are perpendicular to the line y – 1 = One-third(x+2)

Mathematics

1 answer:

Valentin [98]3 years ago

4 0

Answer:

$y-1=-3(x+2)$

Step-by-step explanation:

The equation of the given line:

$y-1=\frac{1}{3}(x+2)$

This equation is in the form $y-y_{1}=m(x-x_{1})$ . Therefore, 1/3 is the slope.

To find a perpendicular line, take the opposite reciprocal of the slope (-1/old slope). Therefore, the slope of the perpendicular line is -3.

The equation of the perpendicular line: $y-1=-3(x+2)$

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The graph represents a person’s heart rate in beats per minute during 30 minutes of exercise. Which statement best describes th

DanielleElmas [232]

We know that

when we start exercise our hear beats starts increasing gradually

because blood flowing rate becomes higher

and it keeps increasing upto a certain limit

because for normal human beings maximum heart rate is 135 beats per minute

and it remains constant there for few minutes

and as we slow down slowly

It will start decreasing gradually and then becomes normal

we can see the graph

so,

The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually decreases for 5 minutes..........Answer

6 0

4 years ago

Read 2 more answers

Renata ganó una rifa y se le entregaron 7832 pesos. Ella decidió repartirlos de la siguiente manera: a su mamá 3/8 del total, a

gogolik [260]

Answer:

A su mamá

= 2937 pesos

A su hermano

= 1566.4 pesos

El resto para ella

= 3328.6 pesos

Step-by-step explanation:

El número total de pesos que cada uno consiguió se calcula como:

Su madre

= 3/8 del total

= 3/8 × 7832

= 2937 pesos

Su hermano

= 1/5 del total

= 1/5 × 7832

= 1566.4 pesos

Sí misma

= El resto

= 7832 - (2937 + 1566,4)

= 7832 - 4503.4

= 3328.6 pesos

5 0

3 years ago

154 square feet of glass. The window is 7 feet tall. What is the perimeter of the window

solmaris [256]

154 is the area so...
154 divided by 7 is 22
p= 2 (l+w)
p = 2 (22 + 7)
p = 2 (29)
p = 58 feet
the perimeter is 58 feet

5 0

3 years ago

Read 2 more answers

(12x+9)−(3x+7) there's a ( sign before 12x

jolli1 [7]

12x-3x=9x 9+7=16

9x+16=25x

5 0

3 years ago

The heights of 40 randomly chosen men are measured and found to follow a normal distribution. An average height of 175 cm is obt

AVprozaik [17]

Answer:

95% two-sided confidence interval for the true mean heights of men is [168.8 cm , 181.2 cm].

Step-by-step explanation:

We are given that the heights of 40 randomly chosen men are measured and found to follow a normal distribution.

An average height of 175 cm is obtained. The standard deviation of men's heights is 20 cm.

Firstly, the pivotal quantity for 95% confidence interval for the true mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average height = 175 cm

$\sigma$ = population standard deviation = 20 cm

n = sample of men = 40

Here for constructing 95% confidence interval we have used One-sample z test statistics as we know about population standard deviation.

So, 95% confidence interval for the true mean, $\mu$ is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5%

level of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 1.96) = 0.95

P( $-1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ , $\bar X+1.96 \times }{\frac{\sigma}{\sqrt{n} } }$ ]

= [ $175-1.96 \times }{\frac{20}{\sqrt{40} } }$ , $175+1.96 \times }{\frac{20}{\sqrt{40} } }$ ]

= [168.8 cm , 181.2 cm]

Therefore, 95% confidence interval for the true mean height of men is [168.8 cm , 181.2 cm].

The interpretation of the above interval is that we are 95% confident that the true mean height of men will be between 168.8 cm and 181.2 cm.

3 0

3 years ago