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3 years ago

P varies directly as q. When q = 31.2, p = 20.8. Find p when q = 15.3.

Mathematics

2 answers:

Len [333]3 years ago

8 0

The answer is 10.2 because you cross multiply Q over P.

taurus [48]3 years ago

8 0

15.3/31.2 = x/20.8
31.2x = 20.8*15.3
31.2x = 318.24
x=318.24/31.2
x=15.01

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Nina [5.8K]

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Step-by-step explanation:

Formula to find the sample size :

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$

Given : Confidence level : $(1-\alpha)=0.90$

⇒ significance level = $\alpha= 0.10$

z-value for 90% confidence interval (using z-table)= $z_{\alpha/2}=1.645$

Prior estimate of the population proportion (p) of customers who keep up with regular vehicle maintenance is unknown.

Let we take p= 0.5

Margin of error : E= 2%=0.02

Now, the required sample size will be :

$n=0.5(1-0.5)(\dfrac{1.645}{0.02})^2$

Simplify , we get

$n=(0.25)(6765.0625)=1691.265625\approx1692$

Hence, the required sample size = 1692

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3 years ago

Read 2 more answers

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ikadub [295]

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2 years ago

What is the equation of the graph <img src="https://tex.z-dn.net/?f=y%3Dx%5E3" id="TexFormula1" title="y=x^3" alt="y=x^3" align=

Galina-37 [17]

Answer:

C. y = 2 (x + 3)³ − 4

Step-by-step explanation:

y = x³

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y = 2x³

Shift horizontally 3 units to the left.

y = 2 (x + 3)³

Shift vertically 4 units down.

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2 years ago

The equation of motion of a block with mass m = 8 kg. attached to a spring whose spring Constant is k = 2 and which starts from

Annette [7]

Answer:

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If we decide to work with the CGS system, the equation of motion would be

8,000x ′′ + 2x = 0; x(0) = 3, x ′ (0) = 0

since 1 Kg = 1,000 g

If we decide to work with the MKS system, the equation of motion would be

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3 years ago

A Gardner is planting two types of trees

Nina [5.8K]

It will take 6 years for the trees to have same height.

Step-by-step explanation:

Type A tree;

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We will convert feet into inches because growth is in inches.

1 feet = 12 inches

9 feet = 12*9 = 108 inches

Growth rate = 6 inches per year

Let,

x be the number of years.

A(x) = 108 + 6x

Type B;

Initial height = 4 feet = 4*12 = 48 inches

Growth rate = 16 inches per year

B(x) = 48 + 16x

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A(x) = B(x)

$108+6x=48+16x\\108-48=16x-6x\\60=10x\\10x=60$

Dividing both sides by 6

$\frac{10x}{10}=\frac{60}{10}\\x=6$

It will take 6 years for the trees to have same height.

Keywords: function, division

Learn more about division at:

#LearnwithBrainly

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3 years ago