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Alla [95]
2 years ago
8

Find the missing terms in each arithmetic sequence​

Mathematics
1 answer:
katrin [286]2 years ago
3 0

Answer:

  9)  7, 18, 29, 40, 51, 62

  10)  35, 29, 23, 17, 11, 5, -1

Step-by-step explanation:

9) The terms that are 5 apart differ by 55, so each term differs from the next by 55/5 = 11. Add 11 to each term to get the next one.

  7, <u>18</u>, <u>29</u>, <u>40</u>, <u>51</u>, 62

__

10) The terms that are 6 apart differ by -36, so each term differs from the next by -36/6 = -6. Subtract 6 from each term to get the next one.

  35, <u>29</u>, <u>23</u>, <u>17</u>, <u>11</u>, <u>5</u>, -1

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Vanessa draws one side of equilateral ΔABC on the coordinate plane at points A(–2, 1) and B(4,1). What are the possible coordina
sukhopar [10]

Answer:

Possible C:

(1 , 1 + 3sqrt(3))

(1 , 1 - 3sqrt(3))

Step-by-step explanation:

AB = 6 units

Midpoint of AB is (1,1)

C would be at x = 1

So, (1,y)

(y-1)² + (1+2)² = 6²

(y-1)² = 36 - 9

(y-1)² = 27

y - 1 = 3sqrt(3)

y - 1 = -3sqrt(3)

y = 1 + 3sqrt(3)

y = 1 - 3sqrt(3)

7 0
3 years ago
A group of 54 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic
aliya0001 [1]

Answer:

P-value =  0.4846

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 4.73

Sample mean, \bar{x} = 4.35

Sample size, n = 51

Alpha, α = 0.05

Sample standard deviation, s = 3.88

First, we design the null and the alternate hypothesis

H_{0}: \mu = 4.73\\H_A: \mu \neq 4.73

We use Two-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{4.35 - 4.73}{\frac{3.88}{\sqrt{51}} } = -0.699

Now, z_{critical} \text{ at 0.05 level of significance } = \pm 1.96

We can calculate the p-value with the help of standard normal table.

P-value =  0.4846

Since the p-value is higher than the significance level, we fail to reject the null hypothesis and accept it.

We conclude that this college has same drinking habit as the college students in general.

7 0
3 years ago
If using the method of completing the square to solve the quadratic equation
hram777 [196]
Add 20 to complete the square

4 0
3 years ago
A self-serve frozen yogurt store sells servings up to 12 ounces. It charges $0.50 per ounce for a serving between 0 and 8 ounces
True [87]

Answer:

p(w) - - - - - - p = 0.5w ; for 0 < w ≤ 8

p(w) - - - - - - p = 4 ; for w < 8 and w ≤ 12

Step-by-step explanation:

Price, p of weight of a toughurt serving :

p(w) - - - - - - p = 0.5w ; for 0 < w ≤ 8

p(w) - - - - - - p = 4 ; for w < 8 and w ≤ 12

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3 years ago
10) The scale of a map is 1 inch represents 4 miles. How many miles does 0.5 inches represent?
scoundrel [369]

Answer:

2 miles

Step-by-step explanation:

1 in=4miles

0.5 in=2miles

so divide by two on each side

7 0
2 years ago
Read 2 more answers
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