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3 years ago

First off how do I solve?

Mathematics

1 answer:

lidiya [134]3 years ago

6 0

Answer:

For 45 guests, Nathan should order:

21.6 (or 22) pieces of Fried Chicken

3.3 pounds of Deli Meat

9.675 pounds of Lasagna

Step-by-step explanation:

The information given for each food item is based on 25 people. If Nathan is going to have 45 guests and plans to only count them as 'half a guest', then we can first take the total number of guests and divide by 2: 45 ÷ 2 = 22.5. Since the original amounts are based on 25 people, we need to find the percentage of food needed for only 22.5 people: 22.5 ÷ 25 = 0.9 x 100 = 90%. Since Nathan will only need 90% of the food totals given, we can find how much he should order by multiplying each food amount by 90% or 0.9:

24 x 0.9 = 21.6 or 22 pieces of Fried Chicken assuming you can't buy partial pieces of chicken

3 2/3 or 11/3 x 0.9 = 3.3 pounds of Deli Meats

10 3/4 or 10.75 x 0.9 = 9.675 pounds of Lasagna

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A study showed that 69% of supermarket shoppers believe supermarket brands to be as good as national name brands. To investigate

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Answer:

We conclude that supermarket ketchup was not as good as the national brand ketchup.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 100

p = 69% = 0.69

Alpha, α = 0.05

Number of stating that the supermarket brand was as good as the national brand , x = 56

a) First, we design the null and the alternate hypothesis

$H_{0}: p = 0.69\\H_A: p \neq 0.69$

This is a two-tailed test.

b) Formula:

$\hat{p} = \dfrac{x}{n} = \dfrac{56}{100} = 0.56$

$z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Putting the values, we get,

$z = \displaystyle\frac{0.56-0.69}{\sqrt{\frac{0.69(1-0.69)}{100}}} = -2.810$

Now, we calculate the p-value from the table.

P-value = 0.0049

c) Since the p-value is lower than the significance level, we fail to accept the null and reject it.

Thus, we conclude that supermarket ketchup was not as good as the national brand ketchup.

d) It need to be tested further whether the supermarket brand was worse than the national brand or better than the national brand.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

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3 years ago

If a die is rolled 40 times, there are 640 different sequences possible. The following question asks how many of these sequences

RideAnS [48]

Answer:

0.1433

Step-by-step explanation:

<h3>All possibilities:</h3>

The total number of different sequences in 40 rolls of a die is $6^{40}$

<h3>Exactly five 1s in 40 rolls:</h3>

The 1s may occur at any 5 rolls among 40. The number of ways of exactly five 1s occuring is therefore, equivalent to number of ways of selecting 5 fruits from 40 distinct fruits which is ⁴⁰C₅ ways. These 5 rolls have a fixed outcome 1. Other 35 rolls each have 5 possible outcomes : 2 or 3 or 4 or 5 or 6. So, the number of possible sequences of outcomes on other 35 rolls of the die is $5^{35}$ .

⇒The total number of different sequences having exactly five 1s in 40 rolls of a die is (⁴⁰C₅)×( $5^{35}$ )

∴The fraction of the total number of sequences having exactly five 1s is $\frac{(⁴⁰C₅)×([tex]5^{35}$ )}{ $6^{40}$ }[/tex] ≈ 0.1433

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3 years ago