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nadya68 [22]
3 years ago
8

The function h(x) is defined as shown.

Mathematics
2 answers:
pav-90 [236]3 years ago
6 0
1. For x<3, h(x)=x+2

now x+2 is an increasing line (a practical way to check, h(1)=3, h(2)=4)

the largest value it takes is at 3, not inclusive, so h(3)=5 not inclusive.

Range_1= (-∞, 5)

2. for x> or equal to 3, h(x)=-x+8, which is a decreasing line (check h(4)=4, h(5)=3 )

so this line takes its maximal value at x=3, f(3)=5 and then takes any other value to -∞.

Range_2=(-∞,5]

3. Range(h)=Range1∪Range2=(-∞, 5)∪(-∞,5]=(-∞,5]      (B)
Yuri [45]3 years ago
5 0

Answer:

b

Step-by-step explanation:

oh yeh

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Answer:

36-(a/4)

Step-by-step explanation:

It is the correct answer.

4 0
3 years ago
If 5a + 2b + 6c 32, what is the value of c?<br>​
Andreas93 [3]

Answer:

c= (-5a-2b+32)/6

Step-by-step explanation:

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3 years ago
A manufacturing company measures the weight of boxes before shipping them to the customers. If the box weights have a population
NikAS [45]

Answer:

<u>The probability that the average weight of the boxes will exceed 94 pounds  is 43.25%</u>

Step-by-step explanation:

1. Let's review the information provided to answer the question correctly:

Mean of the population of box weights = 90 pounds

Standard deviation of the population of box weights = 24 pounds

Sample size = 36 boxes

2. What is the probability that the average weight of the boxes will exceed 94 lb?

For answering this question, we will use the z-scores table.

For using the correct z-score, we should use the correct standard deviation. In this case, we have that:

94 - 90 = 4 pounds above the mean.

4 pounds are 4/24 of the standard deviation,

therefore, simplifying:

4/24 = 1/6 = 0.1666......and we'll round to 0.17

z-score is 0.17 because 4 pounds is 1/6 of the standard deviation (24).

The probability of a z-score is 0.5675, but in this case we're asked by a weight over 94 pounds, not under 94 pounds, thus:

1 - 0.5675 = 0.4325

<u>The probability that the average weight of the boxes will exceed 94 pounds  is 43.25%</u>

8 0
3 years ago
Trying to see what my answer would be
Oksanka [162]

Answer:

B. 2^{-14}*5^{10}.

Step-by-step explanation:

Use the power of a power property.

(2^{-7}*5^{5} )^{2}

Multiply all the exponents in the parenthesis by 2.

(2^{-7}*5^{5} )^{2}=(2^{-14}*5^{10} )

The answer is B. 2^{-14}*5^{10}.

Hope this helps!

7 0
2 years ago
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aksik [14]

Answer:

he will earn more from walking Puff

Step-by-step explanation:

if he is walking Puff for ten dollars 7 days a week, thats 70 dollars.

the other dog would get him 60 dollars a week.

8 0
3 years ago
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