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Marta_Voda [28]
3 years ago
5

Solve for n. 4n= 30 please

Mathematics
2 answers:
navik [9.2K]3 years ago
6 0
To solve, divide both sides by 4.
n=30/4
n=15/2
worty [1.4K]3 years ago
4 0
N=7.5
30 divided by 4
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What is 8690 rounded off to the neareset hundred?<br>am just asking​
Lelu [443]

Answer:

8700

Step-by-step explanation:

If it is 8,690 and you round to the nearest hundred it would add one to 90 making it 8,700

3 0
3 years ago
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In a survey, the planning value for the population proportion is . How large a sample should be taken to provide a confidence in
tatuchka [14]

Answer:

n=350

Step-by-step explanation:

Notation and definitions

n random sample taken  (variable of interest)

\hat p=0.35 estimated proportion  (value assumed)

p true population proportion

Confidence =0.95 or 95% (value assumed)

Me=0.05 (value assumed)

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

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 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.05 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.586  

And rounded up we have that n=350

4 0
3 years ago
Given that 5W = 2P + 3R find the value of P when W = 4 and R = −4
Olenka [21]

Answer:

P = 16

Step-by-step explanation:

Given

5W = 2P + 3R ← substitute W = 4 and R = - 4 into the equation

5(4) = 2P + 3(- 4), that is

20 = 2P - 12 ( add 12 to both sides )

32 = 2P ( divide both sides by 2 )

16 = P

5 0
3 years ago
2 square5 + 5 square5
lora16 [44]

Answer:

=2^5+5^5

=32+3125

=3157

3 0
3 years ago
1) A projectile is thrown upward so that its distance above the ground after t seconds is
leonid [27]

Answer:

After 22 seconds the projectile reach its maximum height of 4,840 units

Step-by-step explanation:

we have

h(t)=-10t^{2}+440t

This is a vertical parabola downward (because the leading coefficient is negative)

The vertex is a maximum

Find out the coordinates of the vertex

Convert the quadratic equation in vertex form

Factor -10

h(t)=-10(t^{2}-44t)

Complete the square

h(t)=-10(t^{2}-44t+22^2)+(10)(22^2)

h(t)=-10(t^{2}-44t+22^2)+4,840

Rewrite as perfect squares

h(t)=-10(t-22)^{2}+4,840

The vertex is the point (22,4,840)

therefore

After 22 seconds the projectile reach its maximum height of 4,840 units

4 0
3 years ago
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