solve the equation on the interval [0,2}. 5 cos x - root 3 = 3 cos x

Answer:

The minimum sample size needed is 39.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Assuming that the standard deviation of the number of hours is 120 hour

This means that [tex]\sigma = 120[/tex]

The minimum sample size needed in order to construct a 99% confidence interval for the mean number of hours of flight time of all such pilots, to within 50 hours, is about?

The minimum sample size needed is n.

n is found when [tex]M = 50[/tex]

So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]50 = 2.575\frac{120}{\sqrt{n}}[/tex]

[tex]50\sqrt{n} = 2.575*120[/tex]

[tex]\sqrt{n} = \frac{2.575*120}{50}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.575*120}{50})^2[/tex]

[tex]n = 38.19[/tex]

Rounding up

The minimum sample size needed is 39.

Answer:

The Consumer Price Index (CPI) is a measure of the average change over time in the prices paid by urban consumers for a market basket of consumer goods and services.

Step-by-step explanation:

Answer:

ummm yes 19293

Step-by-step explanation:

Answer:

Step-by-step explanation:

Correct choice is D

Answer:

Formula

r =\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}

r = correlation coefficient

x_{i} = values of the x-variable in a sample

\bar{x} = mean of the values of the x-variable

y_{i} = values of the y-variable in a sample

\bar{y} = mean of the values of the y-variable

now try btw use a calcutator

The equation of the line is y = 9x. The correct answer is C.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

the points of line are (1,9) and (0,0).

Now,

In this case, the given points are (1, 9) and (0, 0). We can use them to find the slope:

m = (y2 - y1) / (x2 - x1) m = (0 - 9) / (0 - 1) m = -9 / -1 m = 9

Then we can use the point-slope form with any of the given points. Let’s use (0, 0):

y - y1 = m (x - x1) y - 0 = 9 (x - 0) y = 9x

This is already in slope-intercept form. The slope is 9 and the y-intercept is 0.

Therefore, the equation of the line will be y = 9x.

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Answer:

20

Step-by-step explanation:

2(5)+10=20

[tex]\huge \colorbox{pink}{Mathematics}[/tex]

2x + 10 when x = 5

[tex]2x + 10 \\ = 2(5) + 10 \\ = 10 + 10 \\ = 20[/tex]

Correct me if I'm wrong

I hope it helps ^_^

Answer:

Option 4

Step-by-step explanation:

Both the quadrilaterals are similar,

ABCD ~ WXYZ

Therefore, ratio of the corresponding sides will be constant in other words ratio of the corresponding sides will be common.

Scale factor = [tex]\frac{AD}{WZ}[/tex]

                    = [tex]\frac{15}{6}[/tex]

                    = [tex]\frac{5}{2}[/tex]

Therefore, option (4) will be the correct option.

Answer:

a-6b-6c-2

Step-by-step explanation:

Answer:

The percentage score is 38.52%

Step-by-step explanation:

Conversion of a proportion to a percentage:

To convert from a proportion to a percentage, we multiply by 100%, that is, the decimal point is moved two positions to the right, and the percentage sign is placed in the number.

In this question:

Proportion .3852

0.3852*100% = 38.52%

The percentage score is 38.52%

Answer:

Step-by-step explanation:

Answer:

a bottle of eye juice lol no explanation

Step-by-step explanation:

Answer:

8 helpd

Step-by-step explanation:

i know it iv had probability b4

Answer:

Dragon, legendary monster usually conceived as a huge, bat-winged, fire-breathing, scaly lizard or snake with a barbed tail. The belief in these creatures apparently arose without the slightest knowledge on the part of the ancients of the gigantic, prehistoric, dragon-like reptiles

H⁣⁣⁣⁣ere's l⁣⁣⁣ink t⁣⁣⁣o t⁣⁣⁣he a⁣⁣⁣nswer:

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer: 72 feet

Step-by-step explanation:

24 yards= 72 feet

The function f(x) = 2x² - 7x + 10 is an odd function.

f(-x) = 2(-x)² - 7(-x) + 10

      = 2x² + 7x + 10

-f(x) = -[2x²- 7x + 10]

      = -2x² + 7x - 10

To determine whether the function f(x) = 2x² - 7x + 10 is even, odd, or neither, we compare f(-x) and -f(x).

1. f(-x) = 2x² + 7x + 10

2. -f(x) = -2x² + 7x - 10

To determine if f(-x) = -f(x) (even function), we substitute -x for x in f(x) and check if the equation holds.

1. f(-x) = 2x² + 7x + 10

         = f(x) (not equal to -f(x))

Since f(-x) is not equal to -f(x), the function is not even.

Next, to determine if f(-x) = -f(x) (odd function), we substitute -x for x in f(x) and check if the equation holds.

2. -f(x) = -2x² + 7x - 10

        = -(2x² - 7x + 10)

        = -(f(x))

Since -f(x) is equal to -(f(x)), the function is odd.

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Answer:

250

Step-by-step explanation:

Hello There!

The prism shown is a pentagonal prism

And we need to find the lateral surface area ( pretty much area of everything except for the bases.)

We can calculate the lateral surface area by using this formula

[tex]la=5ah[/tex]

where a (on the right hand side) equals the base edge length and h = height

(btw the 5 represents the number of sides)

so the base edge length of the shown figure is 5 and the height is 10

having found this information we plug it into the formula

[tex]la=5*5*10\\10*5=50\\50*5=250[/tex]

so we can conclude that the lateral surface area of the shown pentagonal prism is 250 cm²

Answer:

198

Step-by-step explanation:

11x6=66x3=198

Hope this helps! :)

Answer:

560

Step-by-step explanation:

Answer: 27

Step-by-step explanation: hope this help

Answer:

6.612175434403215

Step-by-step explanation:

This one is quite easy to solve, depending on your calculator click shift over the log function and then natural log will pull up and then you just put in 744.1

Answer:

x= -3

y= 5

Explanation:

Move the 2x to the left by subtracting it by itself

you should get x^2 -15 - 2x =0

That's it in standard form

Answer:

acute.... ....... .. . ......

Answer:

For samples of size n=200, the standard error is of 0.033.

For samples of size n=300, the standard error is of 0.027.

For samples of size n=400, the standard error is of 0.024.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

The percentage of married couples who own a single family home is 33% for a given population.

This means that [tex]p = 0.33[/tex]

Samples of 200:

[tex]s = \sqrt{\frac{0.33*0.67}{200}} = 0.033[/tex]

For samples of size n=200, the standard error is of 0.033.

Samples of 300:

[tex]s = \sqrt{\frac{0.33*0.67}{300}} = 0.027[/tex]

For samples of size n=300, the standard error is of 0.027.

Samples of 400:

[tex]s = \sqrt{\frac{0.33*0.67}{400}} = 0.024[/tex]

For samples of size n=400, the standard error is of 0.024.

Answer:

It does not because if you solve the first equation you get 10 so it will not equal to 10^11

Step-by-step explanation:

Answer:

Simple random

Step-by-step explanation:

There are various methods which may be employed when we intend to select a certain few from a larger group of subjects. The simple random sampling may be described as the most basic form of random sampling whereby a smaller group or subset is chosen from the larger population entirely by chance (each subject or member of the population has equal chances of being selected). A simple random sampling, the larger group isn't partitioned or subdivided prior to selection, the subsets are just selected as they are. In the scenario above, the database is the population and the 50 samples are selected directly from the database without splitting or prior partioning of the population data.