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3 years ago

I really need help!!!

Mathematics

1 answer:

nekit [7.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

V of cylinder =π r^2 h

V=π r^2 (h/3)

the important part is the h and h/3

you have to multiply h/3 by 3 to get back h which would make them equal

π r^2 h = 3(π r^2 (h/3))

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Ms. Flatau went to a garden shop and bought some potting soil for $17.50 and 4 shrubs. The total bill was $53.50. Write and solv

yKpoI14uk [10]

The equation would be (53.50-17.50)<span>÷4 because we need to subtract the potting soil, and since there are 4 shrubs, then you need to divide to get the total of one shrub. It could also be (s=shrubs) 4s + 17.50 = 53.50 and then solve for s. Now, let's solve it. 53.50-17.50=36. Now, divide 36 by 4, to get 9. So, each shrub cost $9. Hope this helped!</span>

8 0

3 years ago

Read 2 more answers

Which of the following disjunctions is false?

IRINA_888 [86]

Answer:

Option C 3 + 4 = 9 or 5 · 2 = 11 is correct answer

Step-by-step explanation:

Disjunction states that if we have p or q then the disjunction is true if either p is true or q is true or p and q are true.

The disjunction is false when both p and q both are false.

1. 2 · 3 = 6 or 4 + 5 = 10

Disjunction is true because 2.3 =6 is true while 4+5=10 is false

2. 5 - 3 = 2 or 3 · 4 = 12

Disjunction is true because 5-3 =2 is true and 3.4=12 is also true.

3. 3 + 4 = 9 or 5 · 2 = 11

Disjunction is false because 3+4 =7 and not 9 and 5.2 =10 and not 11. Since both are false so, this disjunction is false.

4. 6 · 2 = 11 or 3 + 5 = 8

Disjunction is true because 6.2=12 and not 11 is false but 3+5 = 8 is true.

So, Option C 3 + 4 = 9 or 5 · 2 = 11 is correct answer.

4 0

4 years ago

I don’t understand this

Westkost [7]

What are the direction or it 23

8 0

3 years ago

Write a recursive formula and an explicit formula for the following arithmetic sequence.

xenn [34]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

11, 13, 15, 17, 19, ...

Determining the Recursive formula:

We know that a recursive formula is termed as a formula that specifies each term of the given sequence using the preceding terms.

From the given sequence it is clear that every term can be obtained by adding two to the previous term.

i.e. 13 = 11+2, 15 = 13+2, 17 = 15+2, 19 = 17+2

aₙ₊₁ = aₙ+2, for n ≥1

Therefore, a recursive formula is:

aₙ₊₁ = aₙ+2, for n ≥1

Determining the Explicit formula:

Given the sequence

11, 13, 15, 17, 19, ...

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

computing the differences of all the adjacent terms

$3-11=2,\:\quad \:15-13=2,\:\quad \:17-15=2,\:\quad \:19-17=2$

The difference between all the adjacent terms is the same and equal to

$d=2$

also

$a_1=11$

so substituting $d=2$ , $a_1=11$ in the nth terms

$a_n=a_1+\left(n-1\right)d$

$a_n=2\left(n-1\right)+11$

$a_n=2n+9$

Therefore, the Explicit formula is:

$a_n=2n+9$

4 0

3 years ago

The owner of a golf course wants to determine if his golf course is more difficult than the one his friend owns. He has 8 golfer

dexar [7]

Answer:

The 90% confidence interval to estimate the average difference in scores between the two courses is (-1.088, 20.252).

Step-by-step explanation:

We have the standard deviation for the differences, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 8 - 1 = 7

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 7 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.9}{2} = 0.95$ . So we have T = 1.8946

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 1.8946\frac{15.9274}{\sqrt{8}} = 10.67$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 9.582 - 10.67 = -1.088

The upper end of the interval is the sample mean added to M. So it is 9.582 + 10.67 = 20.252

The 90% confidence interval to estimate the average difference in scores between the two courses is (-1.088, 20.252).

3 0

3 years ago