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Vanyuwa
3 months ago
13

What is the range of the given function? {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)

Mathematics
1 answer:
Leona [12.6K]3 months ago
8 0

Answer:

  {0, –3, –9, 5, 7)}

Step-by-step explanation:

The output values of the function are represented by the second elements in the pairs:

  {0, –3, –9, 5, 7}

_____

If desired, these can be arranged in ascending order:

  {-9, -3, 0, 5, 7}

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9 is the highest common factor
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2 months ago
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A researcher claims that the mean cost of raising a child from birth to age 2 by husband­wife families in the U.S. is $13,960. A
Zina [12379]

Answer:

Yes, sufficient evidence exists to reject the proposal.

Step-by-step explanation:

This requires a single mean test to determine if the average expense of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960.

The hypotheses are:

H₀: The average expense of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960, or µ = $13,960.

Hₐ: The average expense of raising a child from birth to age 2 by husband-wife families in the U.S. differs from $13,960, or µ ≠ $13,960.

Provided is the summary of information:

\ar x=13725\\\sigma=2345\\n=500\\\alpha =0.10

The computed test statistic is:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}=\frac{13725-13960}{2345/\sqrt{500}}=-2.24

The test statistic equals -2.24.

We will determine the p-value for this test statistic at a 10% significance level using the following calculations:

p-value=2\times P(Z

               =2\times 0.01255\\=0.0251

Consult the z-table.

The calculated p-value stands at 0.0251 < 0.10, prompting the null hypothesis to be rejected.

Conclusion:

Since the null hypothesis has been rejected at the 10% significance level, it can be concluded that sufficient evidence exists to refute the claim.

The average expense of raising a child from birth to age 2 by husband-wife families in the U.S. does not equal $13,960.

5 0
1 month ago
A snake tank measures 1.8 m x 0.5 m x 0.5 m. What is the surface area of the tank including the top? Use the formula: SA = 2hl+2
AnnZ [12381]

Answer:

4.1

Step-by-step explanation:

1.8 multiplied by 0.5 equals 0.9

0.5 multiplied by 0.5 gives 0.25

Calculating 2 times (0.9 plus 0.9 plus 0.25) results in 2 times (1.8 plus 0.25), which is 2 times 2.05

Multiplying 2 by 2.05 results in 4.1

Thus, the result is 4.1

I trust this was useful!

8 0
3 months ago
Keith designs a game in which players work together to run a food truck business.
Zina [12379]

Answer:

Decrease in profit per member = - 65.25

Step-by-step explanation:

Assuming:

Total members in the business = 4

Total loss = $261

When the loss is divided equally:

Loss per member = total loss / total members

Loss per member = $261 / 4

Loss per member = $65.25

Decrease in profit per member = - $65.25

8 0
2 months ago
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