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3 years ago

Whats 1+1? I forgotttyt

Mathematics

2 answers:

vfiekz [6]3 years ago

8 0

Answer:

Step-by-step explanation:

Andreyy893 years ago

8 0

Answer:

It's 2.

Step-by-step explanation:

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Given that f(x)=x^2-3x+3 and g(x)=x-1/4 slove for f(g(x)) when x=5

Y_Kistochka [10]

When x=5, f(g(x)) would be (x-1/4)^2 - 3(x-1/4) + 3 which when you plug 5 in for x, you get 11.3125 as an answer

6 0

3 years ago

A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 132 pounds requires

diamong [38]

132 pounds -> 143 milligrams

1 pound -> 143/132

156 pounds -> 143/132 * 156 = 169 milligrams

6 0

3 years ago

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia

Arturiano [62]

Answer:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (3)

$n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791$

So the answer for this case would be n=791 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

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

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=2.58$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (2)

And on this case we have that ME =+5 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (3)

$n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791$

So the answer for this case would be n=791 rounded up to the nearest integer

4 0

3 years ago

Each meal at a dinner is $10 . 5 friends ate . Then there was 9% tax . What is the final total ?

harina [27]

Answer:

54.50

Step-by-step explanation:

10 * 5 + 9%

50 + 9% (4.50) = 54.50

7 0

3 years ago

Read 2 more answers

The quality control manager of a soda manufacturing company wishes to use a significant level of 0.05 to test whether the variab

Alex17521 [72]

Answer: 1.645

Step-by-step explanation:

Given : The quality control manager of a soda manufacturing company wishes to use a significant level of 0.05 to test whether the variabilities in the amount of soda in the company's 16 OZ bottles is more than the variabilities in the company's 12 OZ bottles.

Let $\sigma_1^2$ represents the variance for 16 OZ bottles and $\sigma_2^2$ represents the variance for 12 OZ bottles.

The Null and Alternative Hypothesis will be :-

$H_0:\sigma_1^2\geq\sigma_2^2$

$H_1:\sigma_1^2$ , since alternative hypothesis is left-tailed , then the test is left-tailed test.

By using the standard normal distribution table for z, the critical value for this hypothesis:-

$z_{\alpha}=z_{0.05}=1.645$

6 0

3 years ago

Read 2 more answers