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3 years ago

If Rahul walks 9km in a week and Vansh walks 900 m daily, which of these is true about the distances they cover in a week?

Mathematics

1 answer:

pantera1 [17]3 years ago

6 0

Answer: Rahul walks 2.7 km more than Vansh.

Step-by-step explanation:

The options include:

a. Vansh walks 7.2 km more than Rahul.

b. Vansh walks 2 km more than Rahul.

c. Rahul and Vansh both cover the same distance.

d. Rahul walks 2.7 km more than Vansh.

Distance covered by Rahul weekly = 9km

Distance covered by Vansh weekly = 900m × 7 = 6300m = 6300/1000 = 6.3km

From the above, we can see that Rahul walk (9km - 6.3km) = 2.7km more than Vansh.

Note: 1000 meters = 1 kilometers

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Find the area of the shape shown below.

valkas [14]

Answer:

<h2><em><u>12 is the total area</u></em></h2>

Step-by-step explanation:

A of triangle = 1/2 * b * h

b = 6

h = 2

2 * 6 * 0.5

= 12 * 0.5

A of square = l * w

2 * 2

A of Triangle = 1/2 * b * h

2 * 2 * 0.5 =

4 * 0.5

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3 years ago

“The line that passes through point H has the equation y=-2x -3”

Katena32 [7]

Answer:

Step-by-step explanation:

Generally

The equation of a line is given as

y = mx + c

Where

m is the slope

c is the intercept on y axis

Note: if two lines are parallel, their slopes are equal

I.e M1 = M2 =m

If two lines are perpendicular, then, their slopes are given as

M2 = - 1/M1

Given that,

The line that pass through the point H has an equation

y = -2x-3

From equation of a line, we know that, the slope of the line that passes through H is -2

m = -2

We want to find the equation of a line parallel to line that passes through H

If the line we want to find is parallel to the given line, then, their slope are equal,

So, the slope of line that passes through point G is m=-2

So, the equation of the line that passes through point G is

y = mx + c, m=-2

y = -2x + c

So, we need to find c, so, using the point G it passes through,

G = (2,1) I.e x = 2 and y = 1

y = -2x + c.

1 = -2(2) + c

1 = -4 + c

1+4 = c

c = 5

So, the equation of the line that passes through G becomes

y = -2x + 5

3 0

3 years ago

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Ipatiy [6.2K]

Answer:

it what context is the

Step-by-step explanation:

4 0

3 years ago

A researcher examines 27 water samples for iron concentration. The mean iron concentration for the sample data is 0.802 cc/cubic

Delvig [45]

Answer:

90% confidence interval for the population mean iron concentration is [0.771 , 0.832].

Step-by-step explanation:

We are given that a researcher examines 27 water samples for iron concentration. The mean iron concentration for the sample data is 0.802 cc/cubic meter with a standard deviation of 0.093.

Firstly, the pivotal quantity for 90% confidence interval for the population mean iron concentration is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean iron concentration = 0.802 cc/cubic meter

s = sample standard deviation = 0.093

n = number of water samples = 27

$\mu$ = population mean

<em>Here for constructing 90% confidence interval we have used t statistics because we don't know about population standard deviation.</em>

So, 90% confidence interval for the population mean, $\mu$ is ;

P(-1.706 < $t_2_6$ < 1.706) = 0.90 {As the critical value of t at 26 degree of

freedom are -1.706 & 1.706 with P = 5%}

P(-1.706 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 1.706) = 0.90

P( $-1.706 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X - \mu}$ < $1.706 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

P( $\bar X -1.706 \times {\frac{s}{\sqrt{n} }$ < $\mu$ < $\bar X +1.706 \times {\frac{s}{\sqrt{n} }$ ) = 0.90

<u>90% confidence interval for</u> $\mu$ = [ $\bar X -1.706 \times {\frac{s}{\sqrt{n} }$ , $\bar X +1.706 \times {\frac{s}{\sqrt{n} }$ ]

= [ $0.802 -1.706 \times {\frac{0.093}{\sqrt{27} }$ , $0.802 +1.706 \times {\frac{0.093}{\sqrt{27} }$ ]

= [0.771 , 0.832]

Therefore, 90% confidence interval for the population mean iron concentration is [0.771 , 0.832].

4 0

3 years ago

hannah and mallory are selling boxes of cookies for a school fundraiser. each box costs the same amount. hannah sells 14 boxes.

aleksley [76]

The cost per box of cookies is $3.75

The total amount Hannah raised from the sales of cookies is $52.50

The total amount Mallory raised from the sales of cookies and donations is $88.50

In order to determine the cost per box of cookies, take the following steps:

The first step is to determine the total sum of the boxes sold by Hannah and Mallory

Sum of the boxes sold = 14 + 22 = 36 boxes

36 boxes were sold by Hannah and Mallory

The second step is to determine the total cost of the 36 boxes sold.

Total cost of 36 boxes = total amount raised - donation

$141 - $6 = $135

The third step is to determine the total cost of each box

cost of one box = total cost of 36 boxes / total number of boxes

135 / 36 = $3.75

The total amount Hannah raised = cost per box x number of boxes she sold

14 x $3.75 = $52.50

The total amount Mallory raised = amount raised from the sale of cookies + donation

amount raised from sales = cost per box x number of boxes she sold

22 x $3.75 = $82.50

Total amount = $82.50 + $6 = $88.50

A similar question was answered here: brainly.com/question/10915476?referrer=searchResults

8 0

3 years ago