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3 years ago

Which of the following situations could be represented by the expression 17 + (–8)? Select all that apply.

Mathematics

1 answer:

Artist 52 [7]3 years ago

5 0

C : katrin climbed 17 feet up a hill and went down 8 feet

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Match each set of numbers with their least common multiple.

mylen [45]

Answer:

27, 12, and 36 = 108

22 and 4 = 44

14 and 12 = 84

25 and 8 =200

9, 8, and 7 = 504

32, 24, and 18 = 288

Step-by-step explanation: You are welcome.

5 0

2 years ago

Phone Company A charges a monthly fee of $42.50, and $0.02 for each minute talk time. Phone company B charges a monthly fee of $

Y_Kistochka [10]

We need to call for x minute
+ Phone Company A charges a monthly fee of $42.50, and $0.02 for each minute talk time. So we have to spend: $42.50+ $0.02x
+ Phone company B charges a monthly fee of $25.00, and $0.09 for each minute of talk time. So we have to spend: $25.00+ $0.09x

We solve for x: $42.50+ $0.02x> $25.00+ $0.09x
or $42.50- $25.00 > $0.09x- $0.02x
and we have $0.07x<$27.50
or x< 27.50:0.07 and x< 393.86

The answer is:
If we have to call much time, at least 394 minutes, we should choose A
If not, choose B

8 0

3 years ago

all possible numbers that when replaced with the "?" in the set of ordered pairs {(3, 4), (–2, –5), (?, 0)} would create a funct

irina [24]

? can be any number except for 3 or -2 as it is already used in (3,4), (-2,-5)

4 0

3 years ago

If alpha and beta are the zeroes of the polynomial f(x)= xsquare -8x +gamma such that alpha - beta = 2 find the value of gamma.

Komok [63]

Answer:

Γ = 15

Step-by-step explanation:

Given

f(x) = x² - 8x + Γ

with a = 1, b = - 8 and c = Γ , then

sum of zeros α + β = - $\frac{b}{a}$ = - $\frac{-8}{1}$ = 8

product of zeros = αβ = $\frac{c}{a}$ = Γ

Given α - β = 2 , then

(α - β)² = 2²

α² - 2αβ + β² = 4 → (1)

and

(α + β)² = 8²

α² + 2αβ + β² = 64 → (2)

Add (1) and (2) term by term

2α² + 2β² = 68 ( divide through by 2 )

α² +β² = 34

Substitute α² + β² = 34 into (1)

34 - 2αβ = 4 ( subtract 34 from both sides )

- 2αβ = - 30 ( divide both sides by - 2 )

αβ = 15

Now

αβ = Γ = 15

Thus

f(x) = x² - 8x + 15

4 0

3 years ago

An optical inspection system is used to distinguish among different part types. The probability of a correct classification of a

Whitepunk [10]

Answer: $\mu=2.88\ \&\ \sigma^2=0.115$

Step-by-step explanation:

Given : The probability of a correct classification of any part is : p=0.96

sample size : n= 3

The formula to find the mean and variance for binomial distribution is given by :-

$\mu=np\\\\\sigma^2=np(1-p)$

Let the random variable X denote the number of parts that are correctly classified.

The, for the given situation, we have

$\mu=3(0.96)=2.88\\\\\sigma^2=(3)(0.96)(1-0.96)=0.1152\approx0.115$

Hence, the mean and variance of X are 2.88 and 0.115 respectively.

4 0

3 years ago