Can absolute value be negative

Mathematics

1 answer:

emmasim [6.3K]3 years ago

3 0

No, only the value of what you are finding the absolute value of can be a negative. Examples: |-2|=2 |2|=2

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1A technical magazine stated that the mean retail cost of all models of a particular laptop was $600. A random sample of 10 stor

My name is Ann [436]

Answer:

Yes

Step-by-step explanation:

Given,

Population mean Z = 600

Sample mean, µ = 586.50

Size of the sample, n = 10

Standard deviation, σ = 26.77

The testing hypothesis is,

Null hypothesis = µ<600

Alternative hypothesis = µ≥600

The test statistics is the calculated value of Z,

(Z- µ)/(σ/√n)

= (600-586.50)/(26.77/√10)

= (13.5*3.1623)/26.77

= 42.691/26.77

= 1.5947

And at 5% level of significance, the table value of Z = 1.644

Here, calculated Z<Table value of Z, so we accept the null hypothesis.

So, the null hypothesis is accepted. The mean value of the laptop is less than 600.

3 0

3 years ago

for all values of x , a function f is defined by f(x)=x^2+7x+12 if f(a)=2, what could be the value of a?

Evgesh-ka [11]

Answer:

a = -2 or a = -5

Step-by-step explanation:

We want $f(a) = a^2 + 7a + 12 = 2$ . We can subtract 2 from both sides of this equation to get $a^2+7a+10=0$ . We can factor this to get that $(a+2)(a+5)=0$ . When the product of two numbers is equal to zero, one of the numbers must be equal to zero. This means that either a + 2 = 0, in which case a = -2, or a + 5 = 0, in which case a = -5.