All categories

3 years ago

Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her teacher

Mathematics

2 answers:

Crazy boy [7]3 years ago

4 0

Number of oatmeal cookies with Kiara = 30

Number of chocolate chips cookies with Kiara = 48

To find the greatest number of container neded so that there are equal amount of each cookies in each , we have to find the HCF of 30 and 48 .

Factors of 32 = 1 , 2 , 4 , 6 , 8 , 16 and 32

Factors of 48 = 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 and 48

Common and highest among these factors = 16

Which means 16 is the HCF of 32 and 48 .

∴ Kiara will need 16 plastic containers .

Black_prince [1.1K]3 years ago

3 0

Answer: 16 containers?

Step-by-step explanation:

You might be interested in

The two triangles below are similar. What is the similarity ratio of ΔABC to ΔDEF?

Zigmanuir [339]

Some one help me please

4 0

3 years ago

Read 2 more answers

Teacher raises A school system employs teachers at

Cerrena [4.2K]

By adding a constant value to every salary amount, the measures of

central tendency are increased by the amount, while the measures of

dispersion, remains the same

The correct responses are;

(a) The shape of the data remains the same

(b) The mean and median are increased by $1,000

Reasons:

The given parameters are;

Present teachers salary = Between $38,000 and $70,000

Amount of raise given to every teacher = $1,000

Required:

Effect of the raise on the following characteristics of the data

(a) Effect on the shape of distribution

The outline shape of the distribution will the same but higher by $1,000

(b) The mean of the data is given as follows;

$\overline x = \dfrac{\sum (f_i \cdot x_i)}{\sum f_i}$

Therefore, following an increase of $1,000, we have;

$\overline x_{New} = \dfrac{\sum (f_i \cdot (x_i + 1000))}{\sum f_i} = \dfrac{\sum (f_i \cdot x_i + f_i \cdot 1000))}{\sum f_i} = \dfrac{\sum (f_i \cdot x_i)}{\sum f_i} + \dfrac{\sum (f_i \cdot 1000)}{\sum f_i}$

$\overline x_{New} = \dfrac{\sum (f_i \cdot x_i)}{\sum f_i} + \dfrac{\sum (f_i \cdot 1000)}{\sum f_i} = \dfrac{\sum (f_i \cdot x_i)}{\sum f_i} + 1000 = \overline x + 1000$

Therefore, the new mean, is equal to the initial mean increased by 1,000

Median;

Given that all salaries, $x_i$ , are increased by $1,000, the median salary, $x_{med}$ , is also increased by $1,000

Therefore;

The correct response is that the median is increased by $1,000

Where;

n = The number of teaches;

Given that, we have both a salary, $x_i$ , and the mean, $\overline x$ , increased by $1,000, we can write;

$\sigma_{new} =\sqrt{\dfrac{\sum \left ((x_i + 1000) -(\overline x + 1000)\right )^{2} }{n}} = \sqrt{\dfrac{\sum \left (x_i + 1000 -\overline x - 1000\right )^{2} }{n}}$

$\sigma_{new} = \sqrt{\dfrac{\sum \left (x_i + 1000 -\overline x - 1000\right )^{2} }{n}} = \sqrt{\dfrac{\sum \left (x_i + 1000 - 1000 - \overline x\right )^{2} }{n}}$

$\sigma_{new} = \sqrt{\dfrac{\sum \left (x_i + 1000 - 1000 - \overline x\right )^{2} }{n}} =\sqrt{\dfrac{\sum \left (x_i-\overline x \right )^{2} }{n}} = \sigma$

Therefore;

$\sigma_{new} = \sigma$ ; The standard deviation stays the same

Interquartile range;

The interquartile range, IQR = Q₃ - Q₁

New interquartile range, IQR $_{new}$ = (Q₃ + 1000) - (Q₁ + 1000) = Q₃ - Q₁ = IQR

Therefore;

The interquartile range stays the same

Learn more here:

brainly.com/question/9995782

6 0

2 years ago

There are 13 apples in a basket 6 of these apples are green the rest of them are red

kolbaska11 [484]

7 apples are red because 13-6=7

3 0

3 years ago

Rick buys a 1966 Mustang for $3,000, planning to restore and sell the car. He goes on to spend $9,000 restoring the car. At this

White raven [17]

Answer

He would lose 2000 dollars either way so it doesn't really matter.

Step-by-step explanation:

6 0

3 years ago

The sum of seven interior angle measurements in an octagon equal 835º. What is the angle measurement of the 8th angle? (Hint: An

mart [117]

Answer: 104.375 (104 if you need it rounded)

Step-by-step explanation: So the question here is only asking for one angle, so you take the sum of all of the angles (835) and divide it by the total amount of sides (8). and you have your answer.

7 0

3 years ago

Read 2 more answers