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3 years ago

In the equation 5b = 45, b = 10 True or False

Mathematics

2 answers:

professor190 [17]3 years ago

8 0

The answer is falseeeeeeeee

Reika [66]3 years ago

8 0

Answer:

False b=9

Step-by-step explanation:

In the equation 5b+45, b is equal to 9

The way we get this answer is by dividing each term by 5 and then simplifying

45/5

45/5=9

Hope this helps :)

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The price in dollars of a stereo system is given by p(q) = (1000/q2)+1000 where q represents the demand of the product.

elena-14-01-66 [18.8K]

Answer:

a) r(q) = 1000(q +1/q)

b) r'(q) = 1000(1 -1/q^2)

c) r'(10) = 990

Step-by-step explanation:

a) Revenue is the product of quantity and price:

r(q) = q·p(q) = q(1000(1 +1/q^2))

r(q) = 1000(q + 1/q)

b) The derivative is ...

r'(q) = 1000(1 -1/q^2)

c) The derivative evaluated for q=10 is ...

r'(10) = 1000(1 -1/10^2) = 1000(0.99)

r'(10) = 990

5 0

3 years ago

The sum of 6 consecutive even numbers is 126

tatyana61 [14]

Start at 16 and count up by 2 until 26.

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3 years ago

Suppose a lawn and garden company wants to determine the current percentage of customers who use fertilizer on their lawns. How

marishachu [46]

Answer:

n=601

Step-by-step explanation:

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

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

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 $ME =\pm 0.04$ 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)

Since we don't have a prior estimation for the proportion we can use 0.5 as estimation. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.96})^2}=600.25$