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3 years ago

What is the width, w , of the picture frame?

Mathematics

2 answers:

Radda [10]3 years ago

4 0

Answer:

$W = \frac{5}{6}$

Step-by-step explanation:

Area = L x W

5/9 = 2/3 * W

5/9 ÷ 2/3 = W

5/6 = W

Murrr4er [49]3 years ago

3 0

Answer:

5/6

Step-by-step explanation:

To find the width, you need to divide the area over the length, so:

5/9 = 2/3w

5/9 divided by 2/3 (remember when dividing by fractions, you flip over the second so this is actually = 5/9 times 2/3)

=5/6

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kins age is twice that of her sister when you add kims age to her sisters you get 24 how old is each sister (a)write a equation

zimovet [89]

Kim's age is twice of that of her sister. We'll let k2 = Kim and k = Kim's sister.

So, k2. When you add Kim's age to her sister age you get 36.

Because Kim is twice the age of her sister k2. And because it said 'add' then we put a + sign. k2 + s = 36. Now let's solve it.

k2 + k = 36 < Given

3k = 36 < Combine like terms

k = 12 < Divide both sides by 3

We know Kim's sister is 12 y/o but what about Kim herself? Earlier we assigned Kim to k2. Substitute 12 for k and you get 12(2) = 24

Kim's sister is 12 y/o and Kim is 24 y/o

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3 years ago

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You draw one card at random from a standard deck of 52 playing cards. Find the probability that (a) the card is an even-numbered

DerKrebs [107]

Answer:

$P(even )=\frac{20}{52} =\frac{5}{13}$

$P(heart or diamond)=\frac{13}{52} +\frac{13}{52} =\frac{1}{2}$

$P(nine or face card)=\frac{4}{52} +\frac{12}{52} =\frac{4}{13}$

Step-by-step explanation:

You draw one card at random from a standard deck of 52 playing cards

Total cards = 52

5 even numbers in each suit. 4 times 5 = 20 even number cards

$P(even )=\frac{20}{52} =\frac{5}{13}$

(b) the card is a heart or a diamond

there are 13 heart and 13 diamonds

$P(heart or diamond)=\frac{13}{52} +\frac{13}{52} =\frac{1}{2}$

There are 4 nine and 12 face cards

$P(nine or face card)=\frac{4}{52} +\frac{12}{52} =\frac{4}{13}$

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6. The sum of two consecutive integers is -67. Find the integers?

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-21, -46 are the two integers that make a sum of -67

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blagie [28]

Answer: x=

Step-by-step explanation:

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3 years ago

Researchers surveyed 1,000 randomly selected adults in the U.S. A statistically significant, strong positive correlation was fou

Setler79 [48]

Answer:

Null hypothesis: $\rho =0$

Alternative hypothesis: $\rho \neq 0$

The statistic to check the hypothesis is given by:

$t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}$

And is distributed with n-2 degreed of freedom. df=n-2[/tex]

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This result indicates that earning more money influences people to recycle more than people who earn less money

Step-by-step explanation:

The correlation coeffcient is given by this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For this case we know that this value of r is positive and represent a string correlation between income level and the number of containers of recycling

In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:

Null hypothesis: $\rho =0$

Alternative hypothesis: $\rho \neq 0$

The statistic to check the hypothesis is given by:

$t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}$

And is distributed with n-2 degreed of freedom. df=n-2[/tex]

For this case we got a significant result that means that the real correlation coefficient is different from 0 . And for this case the best interpretation would be:

This result indicates that earning more money influences people to recycle more than people who earn less money

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