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3 years ago

g Perform the appropriate test at a 5% significance level if the number of accidents occurs uniformly for all days of the week.

State the null hypothesis. Report the value of the test statistic, the critical value(s), the p-value and state your decision.

Mathematics

1 answer:

mojhsa [17]3 years ago

4 0

$\bold\green{y = -}$ $\green{\tt \dfrac{5}{9}x + 2}$

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What comes next in the sequence? 10, 30, 90, __, __, __

Amiraneli [1.4K]

<h2>Hello!</h2><h2> $\boxed{\boxed{\bf THEME:\:NUMBER\:\:SEQUENCES}}$ </h2>

Answer:

It is 270, 810 and 2430

Step-by-step explanation:

10 x 3 = 30

30 x 3 = 90

90 x 3 = 270

270 x 3 = 810

810 x 3 = 2430

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Sincerely: <em><u>anapaulacbellido</u></em>

7 0

3 years ago

Three ballet dancers are positioned on stage. Elizabeth is straight behind Hannah and directly left of Manuel. If Hannah and Eli

ki77a [65]

Answer: Elizabeth and Manuel have a distance of 4 meters between them.

Step-by-step explanation: Please refer to the picture attached.

From the information given, Elizabeth is directly behind Hannah and directly left of Manuel. That means we have three points which are HEM, that is, we now have triangle HEM. The longest side (hypotenuse) which is the distance between Hannah and Manuel is given as 5 meters while the other side the distance between Hannah and Elizabeth is given as 3 meters.

We shall apply the pythagoras theorem in solving for the unknown side, EM.

The Pythagoras theorem states thus;

AC² = AB² + BC²

Where AC is the hypotenuse, and AB and BC are the other two sides.

Substituting for the known values, we now have;

5² = 3² + EM²

25 = 9 + EM²

Subtract 9 from both sides of the equation

16 = EM²

Add the square root sign to both sides of the equation

√16 = √EM²

4 = EM

Therefore the distance between Elizabeth and Manuel is 4 meters

8 0

3 years ago

The interior of a safe is shaped like a cube with edges 9 inches long. What is the volume of the interior of the safe?

fgiga [73]

Answer:

Assuming that all three sides are 9 inches then the answer should 729.

Step-by-step explanation:

Just multiply 9*9*9. The formula to get volume is (length)*(width)*(height).

3 0

3 years ago

A public health official is planning for the supplyof influenza vaccine needed for the upcoming flu season. She wants to estimat

Marizza181 [45]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25$

And rounded up we have that n=421

Step-by-step explanation:

We know that the sample proportion have the following distribution:

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

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 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64$

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)

We assume that a prior estimation for p would be $\hat p =0.5$ since we don't have any other info provided. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25$

And rounded up we have that n=421

5 0

3 years ago

F(x) = 5x2 − 70x + 258. Complete the square.

astraxan [27]

5(x^2 - 14x + 258/5)
= 5((x-7)^2 -49+258/5)
= 5((x-7)^2 + 13/5)
= 5(x-7)^2 + 13
I belive this is how it should be done

7 0

3 years ago