MATHEMATICS HIGH SCHOOL

Find the area of a rectangle with a width of 16 centimeters and a length of 55 centimeters

Answers

Answer 1

Answer:

The area of the rectangle is 880 cm

Step-by-step explanation:

Lenght = 55cm

Breadth/width=16cm

Area of rectangle= lenght×breadth

Area= 55×16

Area= 880

Hence, area of rectangle is 880cm

P.S - Mark me as the brainliest :D

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Suppose a normal distribution has a mean of 62 and a standard deviation of4. What is the probability that a data value is between 55 and 63? Round youranswer to the nearest tenth of a percent.O A. 55.9%O B. 56.9%O C. 53.9%O D. 54.9%

A grocery sold 5kg of wheat flour at Rs30 per kg and gained 20%. If he had sold it at Rs27 per kg, what would be his gain or loss percent.

Answers

Answer:

His gain percent would have been 8%

Step-by-step explanation:

The key to answering this question is to first calculate the price at which the wheat flour was bought.

Mathematically;

% profit = (selling price-cost price)/cost price * 100%

Let the cost price be $x

Thus;

% profit = (30-x)/x * 100

20 = 100(30-x)/x

20x = 3000-100x

100x + 20x = 3000

120x = 3000

x = 3000/120

x = Rs 25

So let’s assume he sold at Rs 27

His profit would have been 27-25 = 2

His gain or loss percentage would’ve been;

2/25 * 100/1 = 200/25 = 8% (gain, since selling price is greater than the cost price)

Graph with a line going through points zero comma two point five and four comma two point five.Select the equation of the line that passes through the point (3, -1) and is parallel to the line on the graph.

a) y = -1

b) y = 3

c) y = x -1

d) y = 3x - 1
*graph is attached for 1st question*

Graph with a line going through points negative 2 comma zero and 0 comma negative one.

Select the equation of a line that is perpendicular to the line on the graph and passes through the point (-1, 2).

y = 2x + 4

y = - 2x + 2

y = - 1 over 2 x + 2

y = 2x - 1

Answers

Answer:

1 - $y=-1$

2 - $y=2x+4$

Step-by-step explanation:

The general form of a straight line is $y=mx+b$ , where m = slope and b = y-intercept.

Ques 1: We are given that the line passes through (0,2.5) and (4,2.5).

Then the slope of the line is given by,

$m=(2.5-2.5)/(4-0)=0$

Then, the y-intercept is given by,

$y=0x+b\n\n2.5=b$

That is, the equation of the line is $y=2.5$

Since, 'Two parallel lines have equal slope'.

Then, the line parallel to $y=2.5$ have slope 0 i.e. $y=b$ .

As, the line passes through the point (3,-1) i.e. y= -1 for any value of x.

Then, the equation of line is $y=-1$

So, option A is correct.

Ques 2: We are given that the line passes through (-2,0) and (0,-1).

Then the slope of the line is given by,

$m=(-1-0)/(0+2)=(-1)/(2)$

Then, the y-intercept is given by,

$-1=(-1)/(2)* 0+b\n\nb=-1$

That is, the equation of the line is $y=(-1)/(2)x-1$

Since, 'The product of slopes of two perpendicular lines is -1'.

Then, we have,

$m* (-1)/(2)=-1\n\nm=2$

The line perpendicular to $y=(-1)/(2)x-1$ have slope 2.

As, the line passes through the point (-1,2) with slope 2.

The y-intercept is given by,

$2=2* -1+b\n\n2=-2+b\n\nb=4$

Thus, the equation of the line is $y=2x+4$

So, option A is correct.

y= - 1

The graph of the first line is 0. The graph of the second line will also be equal to 0. Replacing in the general equation of a line y=mx+c;
y=(0)x+c
y=c
Using the point (3,-1)
-1=c
y=-1

Steve can complete the 100m dash in 10 seconds while Paul can run it in 12 seconds. How does Steve's time compare to Paul's?A. Steve is 5∕6 as fast as Paul
B. Steve is 5∕6 slower than Paul
C. Steve is 1∕2 as fast as Paul
D. Steve is 1∕2 slower than Paul

a survey in which 400 people were asked to identify the TV channel on which they preferred to watch the evening news.

How many more people preferred WWCN with 41% than WANR with 22%?
A. 164
B. 76
C. 236
D. 68

Answers

So, Steve's time in a ratio to Paul's time:

$(Steven's time)/(Pauls's time) = (10)/(12) = (5)/(6) .$ So Steven's time is $(5)/(6)$ times shorter, that is
"Steven is $(5)/(6)$ times faster than Paul (I find the phrasing "as fast as" problematic though)

In the second question 41% of 400, which is 4*41=164 people chose WWCN and 22% chose WANR, that is 22%*400=4*22=88.

And the difference is 76 people! ( 164-88=76)B)

Answer:

Q-1 The correct option is A) Steve is 5∕6 as fast as Paul

Q-2 The correct option is 76.

Step-by-step explanation:

Consider the provided information.

Q-1

Steve can complete the 100m dash in 10 seconds while Paul can run it in 12 seconds.

Since, the distance for both are same,

$\frac{\text{Steve's time}}{\text{Paul's time}}=(10)/(12)=(5)/(6)\n\text{Steve's time}=(5)/(6)\text{ of Paul's time}}$

Hence, Steve's time is 5⁄6 of the time taken by Paul.

Therefore, the correct option is A) Steve is 5∕6 as fast as Paul

Q-2 a survey in which 400 people were asked to identify the TV channel on which they preferred to watch the evening news.

WWCN got 41% and WANR got 22%

For WWCN

41% of 400 is: $(41)/(100) * 400=164$

That means 164 people preferred WWCN.

For WANR

22% of 400 is: $(22)/(100) * 400=88$

That means 88 people preferred WANR.

We need to find how many more people preferred WWCN

For this subtract both the values: 164-88=76

Thus, 76 more people preferred WWCN

Hence, the correct option is 76.

If bc = 8.3 cd = 6.7 and ad = 11.6 find ab to the nearest tenth

Answers

This is going to be tricky to explain over text, so try to bear with me :)

You have the information given above. Let's start with just ad = 11.6 for now. since these are variables, it can also be understood be understood as a times d= 11.6.
Knowing this, we can figure out that d = 11.6/a, when you divide both sides by a.

You now have d, so plug (11.6/a) into cd=6.7. You have to do the same thing you did last time, except this time you are aiming to get c by itself. So, multiply both sides by a/11.6 and you get c = (6.7a)/ 11.6.

Guess what, you know c now! so you put (6.7a)/11.6 in for c in the equation given to you earlier, bc =8.3. The math gets a bit messy here, but you basically solve for b here, which, when you crunch the numbers down, ends up being ~14.3705 divided by a. You are looking for ab, so just multiply both sides by a, and round to the nearest tenth so that you have ab= 14.4

how to is the tree that cast a shadow of 320 centimeter long and john who is majoring the tree is 180 centimeter tall and cast a shadow of 180 centimeter long?

Answers

ok so ratios
john casts a shadow of 180 when he is 180
therefor shadowheight=realheight
320shadowheight=realheight

realheight=320centimeters

Mr. Chong deposits RM5 000 into a fixed deposit account with 4% interest rate compounded every 3 months for a period of 3 years. Calculate the amount of interest accrued after the third year。 fast please tq