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3 years ago

9

Diego takes more than twice as long to assemble a computer as Kenneth does. Kenneth assembles a computer in 24 minutes. If Diego

takes x minutes to assemble a compute, which inequality represents this situation?
A) x < 12 B) x < 24 C) x > 12 D) x > 48

1 answer:

Anastasy [175]3 years ago

6 0

The answer to this problem is D<span />

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A test is used to assess readiness for college. In a recent year, the mean test score was 20.3 and the standard deviation was 4

Vlada [557]

Answer:

$\mu = 20.3$

$\sigma = 4.9$

And we can find the limits in order to consider values as significantly low and high like this:

$Low\leq \mu -2 \sigma= 20.3- 2*4.9 = 10.5$

$High\geq \mu +2 \sigma= 20.3+ 2*4.9 = 30.1$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

For this case we can consider a value to be significantly low if we have that the z score is lower or equal to - 2 and we can consider a value to be significantly high if its z score is higher tor equal to 2.

For this case we have the mean and the deviation given:

$\mu = 20.3$

$\sigma = 4.9$

And we can find the limits in order to consider values as significantly low and high like this:

$Low \leq \mu -2 \sigma= 20.3- 2*4.9 = 10.5$

$High\geq \mu +2 \sigma= 20.3+ 2*4.9 = 30.1$

6 0

3 years ago

A rectangular room measures 18 ft by 37 ft. How many

Lera25 [3.4K]

Step-by-step explanation:

the area of a rectangle is length × width.

in our case

37 × 18 = 666 ft²

so, we need 666 ft² of tiles.

8 0

2 years ago

Read 2 more answers

What are the zeros of the function?

d1i1m1o1n [39]

F(x) factors as
f(x) = x(x+1)(x-3)
so has zeros of x = -1, 0, 3, because these values make the factors be zero.

The appropriate choice is ...
C. -1, 0, and 3

5 0

3 years ago

Combine the like terms to create an equivalent expression:<br>−5+(−5r)+10

Slav-nsk [51]

Answer is R+10
you have to distribute the + into -5 which will still be -5r and you keep the 10

4 0

2 years ago

Read 2 more answers

28/29 and 30 plz short explanation thanks

Feliz [49]

Integers are numbers like ...-3, -2, -1, 0, 1, 2, 3... and so on. So, according to this definition, let's solve this problem:

28. We know that the product of three integers is -3. So, the statement states that we have three factor, so:

a.b.c = -3

The possible values of the factors are:

Factors are: 3, 1 and -1 in which case:

(3)(1)(-1) = -3

Factors are: -3, 1 and 1 in which case:

(-3)(1)(1) = -3

29. In this problem we know two nonzero integers, that is, they cannot be equal to zero. Thus, they must have different sign, that is, one of them must be positive and the other negative. For instance:

-9 and 2

(-9)(2) = -18, So -18 is less than -9 and 2

Another example:

1 and -8

(1)(-8) = -8, So -8 is equal to -8 and -8 is less than 1.

30. The sign of the product of two integers with the same sign is positive, that is:

(+)(+) = (+) and

(-)(-) = (+)

So, the sign of the product of three integers with the same sign are two options:

<u>Option 1.</u> The three integers are positive in which case:

(+)(+)(+) = (+), So the sign of the product is positive

<u>Option 2.</u> The three integers are negative in which case:

(-)(-)(-) = (-), So the sign of the product is negative.

This option two gives us that result because:

(-)(-) = (+) and (+)(-) = (-)

5 0

3 years ago