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andrew-mc [135]

2 years ago

8

Describe the likelihood of an event as impossible, unlikely, equally likely, likely or certain. 21) There is a 0% chance of pick

ing a 13 in a deck of cards. _________________ 22) There is a 50% chance of picking a red card in a deck of cards. _______________ 23) There is an 80% chance of snow tomorrow. _________________ 24) There is a 20% chance of rain tomorrow. _________________

1 answer:

Arturiano [62]2 years ago

7 0

Answer:

21) There is a 0% chance of picking a 13 in a deck of cards. <u>Impossible.</u>

If there is a 0% chance that something will happen then it is impossible.

22) There is a 50% chance of picking a red card in a deck of cards.<u> Equally likely.</u>

If there is a 50% chance that something will happen, it is equally likely that it will happen.

23) There is an 80% chance of snow tomorrow. <u>Likely or certain.</u>

If there is an 80% chance of something happening, it means that the chances of that thing happening good and the event is likely to occur.

24) There is a 20% chance of rain tomorrow. <u>Unlikely.</u>

A low chance of 20% means that something is unlikely to occur.

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What is the answer to this problem if you need to find out the area?

PolarNik [594]

Answer:

17.28in

Step-by-step explanation:

To find the area of a triangle, multiply the base by the perpendicular height (the length from the point opposite the base, to the base, which makes a 90-degree angle with the base), and half it:

7.2*4.8=34.56

34.56/2=17.28

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3 years ago

Which of the following is the major negative aspect of crossover designs for research studies? A. Prohibitive cost B. Residual e

Zinaida [17]

Answer:

D. Incomplete randomization

Step-by-step explanation:

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3 years ago

In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one study

DIA [1.3K]

Answer:

$z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055$

The p value can be calculated from the alternative hypothesis with this probability:

$p_v =2*P(Z>2.055)=0.0399$

And the best option for this case would be:

C. between 0.01 and 0.05.

Step-by-step explanation:

Information provided

$X_{1}=1642$ represent the number of smokers from the sample in 1995

$X_{2}=1415$ represent the number of smokers from the sample in 2010

$n_{1}=4276$ sample from 1995

$n_{2}=3908$ sample from 2010

$p_{1}=\frac{1642}{4276}=0.384$ represent the proportion of smokers from the sample in 1995

$p_{2}=\frac{1415}{3908}=0.362$ represent the proportion of smokers from the sample in 2010

$\hat p$ represent the pooled estimate of p

z would represent the statistic

$p_v$ represent the value for the pvalue

System of hypothesis

We want to test the equality of the proportion of smokers and the system of hypothesis are:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

The statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{1642+1415}{4276+3908}=0.374$

Replacing the info given we got:

$z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055$

The p value can be calculated from the alternative hypothesis with this probability:

$p_v =2*P(Z>2.055)=0.0399$

And the best option for this case would be:

C. between 0.01 and 0.05.

7 0

3 years ago

In an auditorium, a charity show is conducted in order to raise at least $3,750. The auditorium can accommodate up to 180 specta

Maksim231197 [3]

Answer:

See explanation

Step-by-step explanation:

Let $x,\ x\ge 0$ be the number of students and $y,\ y\ge 0$ be the number of adults on the show.

1. Tickets cost $15 for students, so x student tickets cost $15x.

Tickets cost $25 for adults, so y adult tickets cost $25y.

Total cost of all tickets is $(15x + 25y).

The charity show is conducted in order to raise at least $3,750, thus

$15x+25y\ge 3,750$

2. The auditorium can accommodate up to 180 spectators, hence

$x+y\le 180$

3. We get the system of inequalities:

$\left\{\begin{array}{l}x\ge 0\\y\ge 0\\x+y\le 180\\15x+25y\ge 3,750\end{array}\right.$

Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise $\$(15\cdot 50+25\cdot 125)=\$3,875$

8 0

3 years ago

A map has a scale of 1cm:20 km two cities are 2.5 cm apart on the map to the nearest tenth of a kilometer what is the actual dis

Aleksandr-060686 [28]

Answer: 50 km

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2.5 /1 . Then, 20 x 2.5=50. So the answer is 50 km

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3 years ago