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2 years ago

Homeroom Data of Tickets Sold:

Mathematics

1 answer:

cricket20 [7]2 years ago

8 0

1. the mean is 16

2. the mean is 22.5

the formula that can be used to calculate the mean is

= sum of terms/number of terms

for the first question the mean can be calculated as follows

sum of terms= 20+15+19+16+10

= 80

number of terms= 5

mean= 80/5

= 16

for the second question the mean can be calculated as follows

sum of terms= 19+23+11+30+27+27+22+26+16+24

= 225

number of terms= 10

mean= 225/10

= 22.5

Hence the mean for the first expression is 16 and the mean for the second expression is 22.5

Please see the link below for more information

brainly.com/question/26159926?referrer=searchResults

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Image of question provided

inna [77]

Answer:

To solve this problem, we can use a system of equations.

We know the quadratic expression has the form

$f(t)=at^{2}+bt$

Using points (1,12) and (4,0), we can form the following system to find a and b.

$12=a+b$

$0=16a+4b$

We need to divide the second equation by -4 and sum both equations

$12=a+b\\0=-4a-b$

$12=-3a\\a=\frac{12}{-3}\\ a=-4$

Then, we use this value to find the other variable

$12=a+b\\12=-4+b\\b=12+4\\b=16$

<h3>Therefore, the quadratic function that models the situation is</h3>

$f(t)=-4t^{2} +16t$ or $f(t)=-4t(t-4)$

According to this expression, after 2 seconds, the height is 16 feet.

$f(2)=-4(2)(2-4)=-8(-2)=16$

7 0

2 years ago

Which of the following expressions is a factor of the polynomial x 2 +3/2x-1

Elodia [21]

Answer:

$\large \boxed{\sf \ \ \ (x+2)(x-\dfrac{1}{2}) \ \ \ }$

Step-by-step explanation:

Hello,

let's solve

$x^2+\dfrac{3}{2}x-1=0\\\\ 2x^2+3x-2=0 \ \text{multiply by 2}\\\\\\$

$\Delta=b^2-4ac=9+4*2*2=9+16=25$

There are two solutions

$x_1=\dfrac{-3-\sqrt{25}}{4}\\\\x_1=\dfrac{-3-5}{4}\\\\x_1=\dfrac{-8}{4}\\\\\boxed{x_1=-2}$

And

$x_2=\dfrac{-3+\sqrt{25}}{4}\\\\x_2=\dfrac{-3+5}{4}\\\\x_2=\dfrac{2}{4}\\\\\boxed{x_2=\dfrac{1}{2}}$

So we can write

$x^2+\dfrac{3}{2}x-1\\\\=(x-x_1)(x-x_2)\\\\=(x+2)(x-\dfrac{1}{2})$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0

2 years ago

12. Phillip deposited $450 in an account that earns

Salsk061 [2.6K]

This is your genuine answer

7 0

2 years ago

Read 2 more answers

The speed of the jet Alyssa flew on from Boston to London was 480

nadezda [96]

Alyssa's average speed on the round trip is 540 Mies per hour.

We have given,

The speed of the jet Alyssa flew on from Boston to London was 480

mph.

On her return flight, the speed of the jet was 600 mph with a tail

wind.

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

$average speed=\frac{a+b}{2}$

a=inital speed

b=final speed

add 600 and 480 then divide by 2

That can be given by

$=\frac{600+480}{2}\\\\=\frac{1080}{2}\\\\=540$

Alyssa's average speed on the round trip is 540mph.

To learn more about the average speed visit:

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4 0

1 year ago

Read 2 more answers

The difference of two complementary angles is 20. Find the measure of each angle

stich3 [128]

Answer:

35° , 55°

Step-by-step explanation:

Let one angle be x.

It's complementary angle is = (90 - x)°

According to the question ,

$x - (90 - x) = 20$

$=> x - 90 + x = 20$

$=> 2x = 90 - 20 = 70$

$=> x = \frac{70}{2} = 35$

4 0

2 years ago