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2 years ago

Eight people are equally sharing 12 muffins. How many muffins will each person receive? A. 3/4 B. 8/12 C. 1 D. 1 1/2

Mathematics

2 answers:

ch4aika [34]2 years ago

4 0

I agree with the other answer.

anyanavicka [17]2 years ago

3 0

Okay. To find out how many muffins each person will receive, all you have to do is 12/8, because 12 muffins are being shared with 8 people. 12/8 is 1.5 or 1½ in fraction form. Each person will receive 1½ muffins. The answer is D: 1½.

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"three times the difference between t and y"?

garik1379 [7]

Answer:

3(t-y)

Step-by-step explanation:

difference means subtractions

3*(t-y)

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2 years ago

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a man pays 330 each month for his gym membership what is the change in the amount of money in his account after two thirds of a

olasank [31]

$\dfrac{\$330}{1\,month}\times\dfrac{12\,month}{1\,year}\times\dfrac{2}{3}\,year\\\\=\$2640$

The account will have decreased by $2640 after 2/3 year.

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3 years ago

The times a fire department takes to arrive at the scene of an emergency are normally distributed with a mean of 6 minutes and a

Kitty [74]

Answer:

Step-by-step explanation:

Let x be the random variable representing the times a fire department takes to arrive at the scene of an emergency. Since the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 6 minutes

σ = 1 minute

the probability that fire department arrives at the scene in case of an emergency between 4 minutes and 8 minutes is expressed as

P(4 ≤ x ≤ 8)

For x = 4,

z = (4 - 6)/1 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

For x = 8

z = (8 - 6)/1 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.98

Therefore,

P(4 ≤ x ≤ 8) = 0.98 - 0.23 = 0.75

The percent of emergencies that the fire department arrive at the scene in between 4 minutes and 8 minutes is

0.75 × 100 = 75%

8 0

2 years ago

Find three solutions to the equation 2x+3y=12

aleksley [76]

Answer:

if x = 3, then y = 2

if x = 0, then y = 4

if x = 6, then y = 0

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2 years ago

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 419 gram setting. It is

Dahasolnce [82]

Answer:

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

Step(i):-

Given the mean of the Population(μ) = 419 grams

The sample size 'n' =19

Given mean of the sample x⁻ = 412

Given variance of the sample S² = 784

S = √784 = 28

Step(ii):-

Null hypothesis: H₀: There is no sufficient evidence to support the claim that the bags are underfilled.

Alternative hypothesis: H₁:

There is sufficient evidence to support the claim that the bags are underfilled.

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{412 -419}{\frac{28}{\sqrt{19} } }$

t = -1.09

|t| = |-1.09|

Degrees of freedom ν = n-1 = 19-1 =18

t₀.₀₂₅ = 3.19

Final answer:-

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

8 0

3 years ago