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3 years ago

What is the domain of the function f(x)= sqrt 9x

Mathematics

1 answer:

Vikentia [17]3 years ago

7 0

Answer:

all positive numbers

Step-by-step explanation:

The domain is all of the possible x coordinates. Since we are doing a square root, the answer can't be negative, so if we are multiplying x by a positive number, x can't be negative. All other numbers would work.

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On a straight road, Luis is 10 km south of a water tower and Don is 15 km north of the same water tower. Relative to the water t

Svet_ta [14]

Answer:

The midpoint of the positions of Luis and Don would be 5 km North of the water tower.

Step-by-step explanation:

3 0

4 years ago

Find the critical value needed to construct a 95% CI of a population mean with an unknown standard deviation and a sample size o

kaheart [24]

Answer:

$t_{\alpha/2}=-2.02, t_{1-\alpha/2}=2.02$

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".

In order to find the critical value we need to take in count that we are finding the critical value for the population mean and without the standard deviation, so on this case we need to use the t distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . We need to calculate the degrees of freedom are given by:

$df=n-1=39-1=38$

We can find the critical value using the following excel codes:

"=T.INV(0.025;38)" or "T.INV(1-0.025;38)"

And the critical values would be given by:

$t_{\alpha/2}=-2.02, t_{1-\alpha/2}=2.02$

7 0

3 years ago

Examine the diagram and information to answer the question. Rectangle EFGH has vertices at E(7,7), F(1,5), G(2,2), and H(8,4). H

schepotkina [342]

Answer:

Perimeter of rectangle = 6√10 units (the attachment isnt clear. It seems the answer is in option B)

Step-by-step explanation:

First we find the distance of the length and width of the rectangle.

Distance between E and F = Distance EF

Distance EF = √(∆y²-∆x²)

= √[(5-7)² + (1-7)²] = √[(-2)² + (-6)²]

= √(4+36) = √40

Distance EF = 2√10

Distance between F and G = Distance FG

Distance FG = √(∆y²-∆x²)

= √[(2-5)² + (2-1)²] = √[(-3)² + (1)²]

= √(9+1) = √10

Distance FG = √10

Length= distance EF = distance HG

And width = distance FG = distance EH

Perimeter of rectangle = 2(length + width)

Perimeter of rectangle = 2(2√10 + √10)

= 2(3√10)

Perimeter of rectangle = 6√10 units (the attachment isnt clear. It seems the answer is in option B)

7 0

3 years ago

5s + 2z = 1.32 <br> 3s + 1z = 0.75 <br> what would the answer be?

Sphinxa [80]

Answer:

Step-by-step explanation:

7 0

3 years ago

Which of the following equations is equivalent to x - y = 5?

Butoxors [25]

Y= x-5 is equivelent to the equation

4 0

3 years ago

Read 2 more answers