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3 years ago

13

State the most appropriate metric units to use to measure the length of the front of a house.

1 answer:

GarryVolchara [31]3 years ago

5 0

The answer is m (metres)

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A Nevada roulette wheel had 38 pockets, labeled as 0 00 1 2 3 ... 35 36. One bet is single number. If you bet $1 on a number (an

slavikrds [6]

Answer:

-0.0526

Step-by-step explanation:

Let X be the random variable denoting the net gain(in dollars) for a single trial(one bet).

Assuming that each number in the wheel is equally likely, probability of the outcome being a victory is $\frac{1}{38}$ and probability of failure is $\frac{37}{38}$ . For a win, X takes value 35 and for a loss X takes value -1. So the model is,

$P(X=35) = \frac{1}{38}$

$P(X=-1) = \frac{37}{38}$

$P(X=i) = 0 \;if\; i \neq 38, i\neq -1$

The mean for one bet is $E(X) = \sum xP(X=x) = 35\times\frac{1}{38} - 1\times\frac{37}{38} = -0.0526$

3 0

3 years ago

Svetllana [295]

B for sure because yes

8 0

3 years ago

we believe that 42% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to

Maksim231197 [3]

Answer:

A sample of 1077 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

42% of freshmen do not visit their counselors regularly.

This means that $\pi = 0.42$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

How large of a sample size is required?

A sample size of n is required, and n is found when M = 0.035. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.035 = 2.327\sqrt{\frac{0.42*0.58}{n}}$

$0.035\sqrt{n} = 2.327\sqrt{0.42*0.58}$

$\sqrt{n} = \frac{2.327\sqrt{0.42*0.58}}{0.035}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.42*0.58}}{0.035})^2$

$n = 1076.8$

Rounding up:

A sample of 1077 is required.

3 0

3 years ago

Q10 A student wants to raise £100 for charity.

ElenaW [278]

Answer:

He must charge minimum £0.84 for one hot dog.

Step-by-step explanation:

Ingredients cost for hot dogs at the supermarket,

Price of dog sausages tin of 8 = 50p ≈ £0.5

Price of dog bun packs of 6 = 90p ≈ £0.90

Number of tins required for 150 hot dogs = $\frac{150}{8}$ = 6.25

So student will purchase 7 tins.

Cost of 7 tins = 7 × 0.5

= £3.5

Number of dog buns packets required = $\frac{150}{6}$ = 25

Cost of 25 packs = 25 × 0.9

= £22.5

Total cost of the material used for 150 buns = 22.5 + 3.5

= £26.0

Let the selling price of each hot dog = £x

Then selling price of 150 hot dogs = £150x

Students wants the profit = £100

So, Selling price - Cost price = profit

150x - 26 = 100

150x = 126

x = $\frac{126}{150}$

x = £0.84

Therefore, he must charge minimum £0.84 for one hot dog.

8 0

3 years ago

Help pls helpppp me plssssssssssss

AleksAgata [21]

5.C
6.D
I hope you get it correct

6 0

3 years ago