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algol13
4 years ago
8

6.Identify the terms in the expression: 9 + 11y – y2 + y3 – 4y4

Mathematics
1 answer:
Maslowich4 years ago
5 0
<span>6. 9 + 11y – y2 + y3 – 4y4 
This expression has 5 terms.

7. </span><span>(2a + 3b) + 4c = 2a + (3b + 4c) 
Associative property of addition, because you're moving the parentheses. 
</span><span>
8. </span><span>If m = 4 and n = 4, then m = n
Substitution property.

9. </span><span>-9 + 5 – (-2) + 17
-4 - (-2) + 17
-2 + 17
15

10. </span><span>- 35 - (- 13 )
-22

11. -40 + 23 - 19 + 31
-17 - 19 + 21
36 + 21
57

12.</span><span> (-2)³
-2 * -2 * -2
-8

13. - 925

14. </span><span>15(3y – 5)
45y - 75

15. (7 + 6w)6
42 + 36w

16. </span><span>3n+57

17. 9p-63</span>
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3 years ago
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A person came to work at 8:30 am, went out at 11:45 am, had lunch, came in at 12:30 pm, and left at 5:15 pm. How many hours did
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Hello!

The person started working at 8:30 and stopped at 11:45 for lunch. That means that person worked 1 hour and 15 minutes before taking a lunch break.

The lunch break doesn't count because the person wasn't "working" then.

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8 0
3 years ago
Music streaming services are the most popular way to listen to music. Data gathered over the last 12 months show Apple Music was
marysya [2.9K]

Answer:

There is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service

Step-by-step explanation:

The parameters of the music streaming service are;

The average number of households using Apple Music, \overline {X}_1 = 1.73 million

The standard deviation, σ₁² = 0.46 million

The average number of households using Spotify, \overline {X}_2 = 2.17 million

The standard deviation, σ₂² = 0.33 million

The significance level = 0.01

Hypothesis testing with different population standard deviation

Z = \dfrac{\overline {X}_1 - \overline {X}_2}{\sqrt{\dfrac{\sigma_1^2}{n_1} +\dfrac{\sigma_2^2}{n_2}} }

H₀: \overline {X}_1 ≠ \overline {X}_2

H₁:  \overline {X}_1 = \overline {X}_2

Z = \dfrac{1.73- 2.17}{\sqrt{\dfrac{0.46^2}{12} +\dfrac{0.33^2}{12}} } = -2.6923

p-value for the test statistic = 2 × P(Z <-2.6923) = 2 × 0.00357 = 0.00714

Therefore, the p-value is less than the significance level, and it is therefore unlikely that the result will be observed under the null hypothesis

We therefore reject the null hypothesis and there is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service

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3 years ago
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Answer:

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