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Kobotan [32]
3 years ago
6

What is the value of y in the equation 5x + 2y = 20, when x = 0.3?

Mathematics
2 answers:
pantera1 [17]3 years ago
7 0

Step-by-step explanation:

5×0.3+2y=20

5×0.3= 1.5

1.5+2y=20

1.5+2y÷2=20÷2

1.5y=10

y=0.15

MrMuchimi3 years ago
4 0

Answer:

y= 9.25

Step-by-step explanation:

5x + 2y = 20

2y = 20 - 5(0.3)

2y = 20 - 1.5

y = 20/2 - 1.5/2

y = 10 - 0.75

y = 9.25

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The product 33 × 90 is more than 32 × 90. How much more? Complete the explanation for how you know without multiplying.
Tju [1.3M]

Answer:

90, there are 32 ninetys in 32 X 90 and there are 33 ninetys in 33 X 90, meaning there is one more 90 in 33 X 90 than 32 X 90

5 0
2 years ago
What is the length of AC?
Alenkasestr [34]
So in order to find line AC you must find line AD and DC then plus them together.

to find AD use Pythagoras theorem
a^2 = c^2 - b^2
AD^2 = 7.5^2 - 6.5^2
AD^2 = 56.25 - 42.25
AD^2 = 14
square root both sides to get rid of the ^2
AD ≈ 3.7 or 3.74

Do the same for DC
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5 0
3 years ago
You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you beli
zhuklara [117]

Answer:

We need to sample at least 1069 parents.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How many parents do you have to sample?

We need to sample at least n parents.

n is found when M = 4, \sigma = 79.5. So

M = z*\frac{\sigma}{\sqrt{n}}

4 = 1.645*\frac{79.5}{\sqrt{n}}

4\sqrt{n} = 1.645*79.5

\sqrt{n} = \frac{1.645*79.5}{4}

(\sqrt{n})^{2} = (\frac{1.645*79.5}{4})^{2}

n = 1068.92

Rounding up

We need to sample at least 1069 parents.

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