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3 years ago

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Mathematics

1 answer:

kogti [31]3 years ago

7 0

Add one each time. Five up and five right. In 0, there will be one tile. I hope this helped.

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Here are the first five terms of an arithmetic sequence.

Assoli18 [71]

Answer:

The nth term of an AP will be 27 -7n.

Step-by-step explanation:

First five terms of the Arthemetic Sequence is given to us , which is 26 , 19 , 12 , 5

Hence here Common Difference can be found by subtracting two consecutive terms . Here which is 19 - 26 = (-7) .

Here first term is 26 .

And the nth term of an AP is given by ,

★ T_n = a + ( n - 1) d

Substituting respective values ,

⇒ T_n = a + ( n - 1 )d

⇒ T_n = 26 + (n - 1)(-7)

⇒ T_n = 26 -7n+1

⇒ T_n = 27 - 7n

<h3>Hence the nth term of an AP can be found using T_n = 27 - 7n. </h3>

8 0

3 years ago

A researcher at the University of Washington medical school believes that energy drink consumption may increase heart rate. Supp

Nana76 [90]

Answer:

Step-by-step explanation:

Given that:

mean μ = 70

sample size = 25

sample mean = 73

standard deviation = 7

level of significance = 0.10

The null hypothesis and the alternative hypothesis can be computed as follows:

$\mathtt{H_o : \mu = 70} \\ \\ \mathtt{H_1 : \mu > 70 }$

The z score for this statistics can be calculated by using the formula:

$z = \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}$

$z = \dfrac{73- 70}{\dfrac{7}{\sqrt{25}}}$

$z = \dfrac{3}{\dfrac{7}{5}}$

$z = \dfrac{3 \times 5}{{7}{}}$

z = 2.143

At level of significance of 0.10

degree of freedom = n -1

degree of freedom = 25 - 1

degree of freedom = 24

The p - value from the z score at level of significance of 0.10 and degree of freedom of 24 is:

P - value = 1 - (Z < 2.143)

P - value = 1 - 0.9839

P - value = 0.0161

Decision Rule: since P value is lesser than the level of significance, we reject the null hypothesis.

Conclusion: We conclude that energy drink consumption increases heart rate.

5 0

3 years ago

Find the area of the circle. Use 3.14 for π. d = 10 cm A = [?] cm² A=TCr2

Stells [14]

Answer:

78.5

Step-by-step explanation:

The diameter (d) is equal to the radius x 2, so take half of d to get r. Use r (5) in the equation to get your answer.

A= 3.12 x 5^2

A= 78.5

5 0

2 years ago

Is the relation a function? {(14, 15), (5, 7), (3, 10), (11, 1), (5, 8)} a. yes. b. no

Monica [59]

In this relation we have two ordered pairs:
( 5, 7 ) and ( 5, 8 )
For x = 5 : f ( x ) = 7 and also for x = 5, f ( x ) = 8. This is not possible for a function.
Answer:
b ) No. The relation is not a function.

8 0

4 years ago

Bracket answer to each box to complete the paragraph proof triangle ABC Pro ma equals 66 2/3 on the unit test reasoning and proo

Airida [17]

Answer:

889

Step-by-step explanation:

8 0

3 years ago