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2 years ago

If x+5=y+2 and 3x=2y, what is the value of x and y?

Mathematics

2 answers:

andrey2020 [161]2 years ago

8 0

Answer:

x=6

y=9

Step-by-step explanation:

ladessa [460]2 years ago

5 0

x+5=y+2

3x=2y

x-y=-3 /*(-3)

3x-2y=0

-3x+3y=9

3x-2y=0

+---------

y=9

3x-2*9=0

3x-18=0

3x=18 //3

x=6

y=9

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3 years ago

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Rosetta wants to estimate the percentage of people who rent their home. She surveys 250 individuals and finds that 48 rent their

Andreas93 [3]

Answer:

$0.192 - 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.151$

$0.192 + 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.233$

Step-by-step explanation:

Information given

$X= 48$ number of people who rent their home

$n= 250$ represent the sample size

$\hat p =\frac{48}{250}= 0.192$ represent the proportion of people who rent their home

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.645$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.192 - 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.151$

$0.192 + 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.233$

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3 years ago

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3 years ago

A suncatcher has 6 sections. Each section is in the shape of a parallelogram witha base of 12 cm and a height of 8 cm. What is t

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Answer:

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Step-by-step explanation:

Given:

Number of sections in a suncatcher (n) = 6

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Height of parallelogram = 8 cm

Now, area of a parallelogram is given as:

Area of parallelogram = Base × Height

Area of 1 parallelogram = 12 cm × 8 cm = 96 cm²

Now, there are 6 parallelogram shaped sections.

So, area of the sections = area of 1 section × total number of sections

∴ Area of 6 sections = 96 cm² × 6 = 576 cm²

Therefore, the total area of the sections of a suncatcher is 576 cm².

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3 years ago

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Step-by-step explanation:

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