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skelet666 [1.2K]
3 years ago
9

What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?

Mathematics
1 answer:
mixas84 [53]3 years ago
4 0

We have that  the fourth term of an arithmetic sequence is

a_4=14

Option C

From the question we are told

What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?

A) 78

B) 32

C) 14

(Explain your work)

Generally the equation for the  arithmetic sequence  is mathematically given as

a_4=a_1+(n-1)d

Therefore

For seventh term

5=23+(6)d\\\\d=5-23/(6)\\\\d=-3

Therefore

For Fourth term

a_4=23+(3*(-3))

a_4=14

For more information on this visit

brainly.com/question/23366835

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Answer:

We accept H₀ , we do not have enought evidence for rejecting H₀

Step-by-step explanation:

Normal Distribution

sample size   n  =   60

standard deviation     σ  =  15

1.Hypothesis Test : Is a one tailed-test on the right

H₀      null hypothesis             μ₀  = 50

Hₐ    alternative hypothesis   μ₀  > 50

2.-We will do the test for  a significance level   α =  0,01 tht means for a 99% interval of confidence

then z(c)  =  2.32

3.- We compute z(s)  

z(s)  =  [ ( μ - μ₀ ) /( σ/√n )       ⇒  z(s)  =  (  2 * √60 ) / 15

z(s)  = 15.49/15                        ⇒   z(s)  = 1.033

4.- We compare values of  z(c)   and z(s)

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z(s) is in the acceptance region so we accept H₀ , we do not have enough evidence for rejecting H₀

6 0
3 years ago
Simultaneously x-2y=0 40-y=14​
harkovskaia [24]

Answer:

x = 52, y = 26

Step-by-step explanation:

x - 2y = 0

40 - y = 14​

(40 - 40) - y = 14​ - 40

- y = -26

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x - 2(26) = 0

x - 52 = 0

x (- 52 + 52) = 0 + 52

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7 0
3 years ago
Ship A receives a distress signal from the southwest, and ship B receives a distress from the same vessel from the north. At wha
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I've attached an image showing the coordinates of Ship A and Ship B.

Answer:

distressed vessel is located at (1, 1.5)

Step-by-step explanation:

From the image attached, we can see that;

Coordinate of ship A is (3, 4)

Coordinate of ship B is (1, 1)

Now, we are told that Ship A receives a distress signal from the southwest, and ship B receives a distress from the same vessel from the north.

This means that the distressed ship is somewhere in between ship A & B.

To solve this, we will extend the arrow line from Ship A in that same SW direction and we will do the same for ship B in the same North direction. Their point of intersection is where the distressed ship is located.

Now, if we do that, we will see that they will intersect at the point; (1, 1.5)

Thus,distressed vessel is located at (1, 1.5)

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3 years ago
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Answer:

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Therefore, f(x) = -0.1·cos(x) - 4 can be obtained from the parent cosine function as follows;

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Therefore, the correct option is a reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down.

7 0
3 years ago
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