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masya89 [10]
3 years ago
13

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

Mathematics
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
SIERENCE
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
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