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2 years ago

Four balls of wool will make 8 knitted caps.How many balls of wool will Malcom need if he wants to make 6 caps?

Mathematics

2 answers:

aalyn [17]2 years ago

6 0

Malcom will need three balls of wool to make 6 caps

SOVA2 [1]2 years ago

3 0

3 balls of wool because 4 balls of wool/8 caps=1/2 ball of wool to make each cap. 1/2 ball x 6 caps=3 balls of wool.

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A researcher wishes to estimate the number of households with two cars. How large a sample is needed in order to be 99% confiden

solmaris [256]

Answer:

Sample size n = 1382

so correct option is D) 1382

Step-by-step explanation:

given data

confidence level = 99 %

margin of error = 3%

probability = 25 %

to find out

How large a sample size needed

solution

we know here P = 25 %

so 1 - P = 1 - 0.25

1 - P = 0.75

and we know E margin of error is 0.03 so value of Z for 99%

α = 1 - 99% = 1 - 0.99

α = 0.01

and $\frac{\alpha}{2}$ = $\frac{0.01}{2}$

$\frac{\alpha}{2}$ = 0.005

so Z is here

$Z_(\frac{\alpha}{2})$ = 2.576

sample size will be

Sample size n = $(\frac{(Z_(\frac{\alpha}{2})}{E})^2 * P * (1-P)$

put here value

Sample size n = (\frac{2.576}{0.03})^2 * 0.25 * 0.75

Sample size n = 1382

so correct option is D) 1382

3 0

2 years ago

The velocity v of an object rolled down an inclined plane is given by the formula v=

drek231 [11]

Answer:

d = v/53

Step-by-step explanation:

Divide both sides by 53 to make d the subject of the formula

7 0

2 years ago

Which of the following is the solution for 0 = 2(x – 9)(x + 5) ?

Gnom [1K]

Answer:

I need to see a picture of this question but if there is no picture then the answer is either x=-5 or x=9

Step-by-step explanation:

3 0

2 years ago

Simplify give ur answer in index form.

kherson [118]

$\frac{( {j}^{4} \: \times \: {j}^{8}) ^{3} }{( {j}^{9} \: \div \: {j}^{2}) ^{2} }$

First we calculate the product of the denominator.

$\frac{( {j}^{12}) ^{3} }{( {j}^{9} \: \div \: {j}^{2}) ^{2} }$

Then we calculate the quotient of the numerator.

$\frac{( {j}^{12}) ^{3} }{( {j}^{7}) ^{2} }$

We multiply the exponents of the expression.

$\frac{ {j}^{36} }{ {j}^{14} }$

We divide.

$\boxed{ \bold{ {j}^{22} }}$

<h3><em><u>MissSpanish</u></em></h3>

3 0

1 year ago

Rationalize the denominator of \frac{1 \sqrt{3}}{1-\sqrt{3}}. When you write your answer in the form A B\sqrt{C}, where A, B, an

kobusy [5.1K]

Answer:

The value of ABC is 6.

Step-by-step explanation:

Consider the expression

$\frac{1+\sqrt{3}}{1-\sqrt{3}}$

Rationalize the denominator.

$\frac{1+\sqrt{3}}{1-\sqrt{3}}\times \frac{1+\sqrt{3}}{1+\sqrt{3}}$

$\frac{(1+\sqrt{3})^2}{1^2-(\sqrt{3})^2}$

$\frac{1^2+(\sqrt{3})^2+2\sqrt{3}}{1-3}$

$\frac{1+3+2\sqrt{3}}{-2}$

$\frac{4+2\sqrt{3}}{-2}$

$\frac{4}{-2}+\frac{2\sqrt{3}}{-2}$

$-2-\sqrt{3}$ ..... (1)

The answer in the form

$A+B\sqrt{C}$ .... (2)

On comparing (1) and (2), we get

$A=-2,B=-1,C=3$

We need to find the value of ABC.

$ABC=(-2)(-1)(3)=6$

Therefore the value of ABC is 6.

7 0

2 years ago