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2 years ago

What property was applied to solve the equation below?

Mathematics

2 answers:

scoray [572]2 years ago

6 0

Answer:division property of equality

Step-by-step explanation: Because 0.36x divided by 0.36 is 1x. -1.8 divided by 0.36 is -5. Couuld you give me brainleist

melisa1 [442]2 years ago

3 0

Answer:

Division Property of Equality

Step-by-step explanation:

Addition Property of Equality :

a = b ⇒ a + c = b + c

Subtraction Property of Equality

a = b ⇒ a - c = b - c

Multiplication Property of Equality :

a = b ⇒ ca = cb,

Division Property of Equality :

$a=b\implies \frac{a}{c}=\frac{b}{c}$ ,

Here, the given equation is,

0.36x=-1.8,

For finding the value of x we need to isolate x,

For this we must divide both sides by 0.36,

That is, we were applied 'Division Property of Equality'.

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The number of entrees purchased in a single order at a Noodles & Company restaurant has had an historical average of 1.35 en

trasher [3.6K]

Answer:

a) 0.3571

b) The p-value is 0.362007.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 1.35

Sample mean, $\bar{x}$ = 1.4

Sample size, n = 26

Alpha, α = 0.01

Sample standard deviation, s = 0.7

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 1.35\text{ entrees per order}\\H_A: \mu > 1.35\text{ entrees per order}$

We use One-tailed t test to perform this hypothesis.

a) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n-1}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{1.4 - 1.35}{\frac{0.7}{\sqrt{25}} } = 0.3571$

b) The p-value at t-statistic 0.3571 and degree of freedom 25 is 0.362007.

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