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aev [14]
3 years ago
11

Translate IxI>= 3 into words using the definition of absolute value

Mathematics
1 answer:
Nookie1986 [14]3 years ago
6 0

Answer:

Step-by-step explanation:

The absolute value of an integer is the distance that separates the number from the zero position "0", that is, the absolute value of an integer is the natural number that results from suppressing its sign.

In other words, the absolute value of a real number a, written |a|, is the same number a when it is positive or zero, and opposite of a, if a is negative.

In this case IxI>= 3 means that \left \{ {{x\geq 3} \atop {x\leq -3}} \right.

This is translated as, since the absolute value of x represents the distance from zero, the solutions to this inequality are those numbers whose distances from zero are greater than or equal to 3, that is, that x is greater than or equal to 3 or x is less than or equal to -3.

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Suppose you drive a car 392 miles on one tank of gas. The tank holds 14 gallons of gas. (Assume the car travels the same distanc
RUDIKE [14]

Answer:

Step-by-step explanation:

Suppose you drive a car 392 miles on one tank of gas. The tank holds 14 gallons of gas. This means that

1 gallon of gas would be used to drive 392/14 = 28 miles

a) The number of miles traveled varies directly with the number of gallons of gas used.

Let x =number of gallons of gas you use.

Let y = the number of miles travelled.

Since y varies directly with x, we will introduce a constant of proportionality, k. Therefore,

y = kx

If 28 miles will require 1 gallon of gas, it means

28 = 1×k

k = 28

So y = 28x

b) we want to determine how far you can drive with 3.7 gallons of gas.

x = 3.7

y = 28x = 28×3.7

y = 103.6 miles

6 0
4 years ago
The t value for a 99% confidence interval estimation based upon a sample of size 10 is
Aliun [14]
Answer:
For a sample size of 10, the t-value is about 3.25 (from tables) at a 99% confidence interval.

Explanation:
When the standard deviation for the population is not known, the confidence interval estimate for the population mean is performed with the Student's t-distribution.
The confidence interval for the mean is calculated as
(\Bar{x}- t\frac{s}{\sqrt{n}} , \, \Bar{x}+ t\frac{s}{\sqrt{n}}
where
 \Bar{x} = sample mean,
s = sample standard deviation,
t = t-value (provided in tables),
n =  sample size.

When reading the t-value, (n-1) is called the df or degrees of freedom.

7 0
3 years ago
Enter the value of P so that the expression 4(10+n) is equivalent to 4(n+p)
Paraphin [41]

Answer:

I think it is 10

Step-by-step explanation:

Only because I believe n is still unknown and 4 must be multiplied

example

4(10 + n)

40 + 4n

now if P = 10

4(n + p)

4(n + 10)

4n + 40

8 0
3 years ago
Read 2 more answers
Determine the probability of having 2 girls and 3 boys in a 5-child family assuming boys and girls are equally likely.
Andrew [12]
The correct answer is 5/16.
5 0
3 years ago
If a watermelon weighs 6 255 grams and a scales measures the weight 6 475 grams. What is the scales percent error
Liono4ka [1.6K]

Answer:scales percent error=3.51%

Step-by-step explanation:

P ercent error = Experimental value - Theoretical value /Theoretical value  x 100

Theoretical value = 6255 grams

Experimental value ( use of scale ) = 6475grams

Percent error =(6475- 6255)grams / 6255grams x 100

=220/6255 x 100

=3.51%

6 0
3 years ago
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