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3 years ago

Pl. z help me I need help..

Mathematics

1 answer:

Romashka [77]3 years ago

5 0

Answer:

8 crabs and 2 octopi

Step-by-step explanation:

Let c represent the amount of crabs and o represent the amount of octopi.

We can use this to set up a system of equations:

6c+8o=64

c=4o

We can solve this system using substitution. In this case, we can substitute 4o for c:

6(4o)+8o=64

24o+8o=64

Combine like terms

32o=64

Divide both sides by 32

o=2

Substitute 2 for o to solve for c:

c=4o=4(2)=8

There are 8 crabs and 2 octopi

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3 years ago

At the Foremost State Bank the average savings account balance in 2012 was $1900. A random sample of 45 savings account balanes

lakkis [162]

Answer:

The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step-by-step explanation:

Step(i):-

Mean of the Population = 1900

Given random sample size 'n' = 45

Mean of the sample x⁻ = 1000

Standard deviation of the sample = 225

Null Hypothesis:-

There is no difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012.

Alternative Hypothesis :-

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step(ii):-

Test statistic

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

$t = \frac{1000-1900 }{\frac{225}{\sqrt{45} } }$

t = -900 /33.54 = -26.517

|t| = |-26.517|=26.517

Degrees of freedom

γ = n-1 = 45-1 =44

t₍₀.₀₁ , ₄₄₎ = 2.326

The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

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