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3 years ago

6

Which statement must be true according to the box plot? The data is symmetric, and the lowest number of crackers in a package wa

s 7. The data is symmetric, and the lowest number of crackers in a package was 8. The data is skewed, and the lowest number of crackers in a package was 7. The data is skewed, and the lowest number of crackers in a package was 8.

1 answer:

lukranit [14]3 years ago

4 0

Answer:

C

Step-by-step explanation:

The data is skewed, and the lowest number of crackers in a package was 7

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What is the radius of a basketball hoop with a circumference of 56.52

evablogger [386]

Answer:

Step-by-step explanation:

R= C/2pi R

56.52/ 2pi=8.99543738355

Answer to 2 significant figures=9.0

7 0

3 years ago

If you deposit $50 in checks in your account with $100 cash amount, what is your total deposit?

Free_Kalibri [48]

What do you mean? You deposited $50 didn’t you? HUuH

3 0

2 years ago

Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not more than 3, whereas quadratic f

vladimir2022 [97]

Answer:

Yes, I agree

Step-by-step explanation:

For the cubic function

A cubic function is represented as:

$f(x)=ax^3+bx^2+cx+d$

A cubic function may have 1, 2 or 3 x intercepts. This is shown below

For 3 x intercepts

$y = x^3 - x$

Equate y to 0

$x^3 - x = 0$

Expand

$x(x^2 - 1) = 0$

Express $x^2 - 1$ as difference of two squares

$x(x - 1)(x +1 ) = 0$

<em>x = 0 or 1 or -1</em>

For 2 x intercepts

$y = x^3 - x$

$y =(x-5)^2)(x+7)$

Equate y to 0

$(x-5)^2(x+7) = 0$

Expand

$(x-5)(x-5)(x+7) = 0$

<em>x= 5 or x = -7</em>

For 1 x intercept

$y = x^3$

Equate y to 0

$x^3 = 0$

Take cube roots of both sides

$x = 0$

It has been shown above that a cubic function may have 1, 2 or 3.

So, I agree to the statement

For the quadratic function

A quadratic function will not have any x intercept when the function can not be factorized;

E.g.

$y = x^2 + x + 17$

<em>The above function has no x intercept.</em>

A quadratic function will have at least 1 x intercept when the function can be factorized;

E.g.

$y = x^2- 6x + 9$

Equate y to 0

$x^2- 6x + 9 = 0$

Expand

$x^2 - 3x - 3x + 9 = 0$

$(x - 3)(x-3) = 0$

$x = 3$

We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)

Hence, I agree to both statement

3 0

2 years ago

THe temperature is negative 7 degrees and overnight it gets 12 degrees warmer? Then during the day it gets 12 degrees warmer?

Vinil7 [7]

At the start the temperature is -7 overnight it gets 12 degrees warmer so -7+12 =5 degrees than during the day it gets 12 degrees warmer so 5+12= 17 degrees

6 0

3 years ago

Ella collects 50 bottles to recycle. Of the bottles she collects, 19 are plastic and the rest are glass.

nekit [7.7K]

QUESTION A

The total number of bottles Ella collected is
$50$

The number of bottles that are plastic is

$19$

The percentage of bottles that are plastic is

$= \frac{number \: of \: plastic \: bottles}{total \: number \: of \: bottes} \times 100\%$

$= \frac{19}{50} \times 100\%$

$= 19 \times 2\%$
$= 38\%$

Therefore 38% of the bottles are plastic.

QUESTION B

The total number of bottles that are glass is
$50 - 19 = 31$

The total number of bottles Ella collected is
$50$

The percentage of bottles that is glass is
$= \frac{number \: of \: glass \: bottles}{total \: number \: of \: bottles} \times 100\%$

$= \frac{31}{50} \times 100\%$

$= 31 \times 2\%$
$= 62\%$

Therefore 62% of the bottles are glass

8 0

3 years ago