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gladu [14]
2 years ago
9

What is the GCF of 60 and 24

Mathematics
2 answers:
Feliz [49]2 years ago
6 0
The GCF of 60 and 24 is 12
Nadusha1986 [10]2 years ago
5 0
Though there are many common factors of 24, 36, and 60, thegreatest common factor (GCF) of 24, 36, and 60 is 12.
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Plz help!! (I just copied and pasted it)
lora16 [44]

Step-by-step explanation:

3d + 4.5g <= 18.

3 possible combinations are:

0 DVD and 4 Video games,

1 DVD and 3 Video games,

2 DVDs and 2 Video games.

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2 years ago
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How do you determine a figure’s scale factor?
german
To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides. If you begin with the smaller figure, your scale factor will be less than one. If you begin with the larger figure, your scale factor will be greater than one.
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2 years ago
Line segment AB has vertices A(-3, 4) and B(1, -2). A dilation centered at the orgin is applied to AB. The image has vertices A(
bixtya [17]

Answer:

option 2

Step-by-step explanation:

consider the coordinates A (- 3, 4 ) and A' (- 1, \frac{4}{3} )

since the dilatation is centred at the origin, then corresponding coordinates are multiples/ divisors of each other, then image to original gives scale factor.

scale factor = \frac{A'}{A} = \frac{-1}{-3} = \frac{1}{3} and \frac{\frac{4}{3} }{4} = \frac{1}{3}

similarly B (1, - 2 ) and B' (\frac{1}{3}, - \frac{2}{3} )

\frac{\frac{1}{3} }{1} = \frac{1}{3} and \frac{-\frac{2}{3} }{-2} = \frac{1}{3}

4 0
1 year ago
In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent (Pew Research, June 5, 2014). An independe
enot [183]

Answer:

a)

n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2, in which z is related to the confidence level.

b) A sample size of 991 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent

This means that \pi = 0.16

a. What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03 (round up to the next whole number).

This is n for which M = 0.03. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = z\sqrt{\frac{0.16*0.84}{n}}

0.03\sqrt{n} = z\sqrt{0.16*0.84}

\sqrt{n} = \frac{z\sqrt{0.16*0.84}}{0.03}

(\sqrt{n})^2 = (\frac{z\sqrt{0.16*0.84}}{0.03})^2

n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2, in which z is related to the confidence level.

Question b:

99% confidence level,

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

n = (\frac{z\sqrt{0.16*0.84}}{0.03})^2

n = (\frac{2.575\sqrt{0.16*0.84}}{0.03})^2

n = 990.2

Rounding up

A sample size of 991 is needed.

8 0
2 years ago
Given tan 0= -15/8 where 270º &lt; 0 &lt; 360°<br> Given tan 0 =<br> Find cos 0
horsena [70]

Answer:=8/17

Step-by-step explanation:

3 0
1 year ago
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