All categories

2 years ago

What is the common ratio in this recursive definition ? HELP PLEASE

Mathematics

1 answer:

Sonbull [250]2 years ago

6 0

Answer:

(d) r = -2.1

Step-by-step explanation:

The common ratio is the coefficient of the a[n-1] term. It is the value that the previous term is multiplied by in order to get the next term.

r = -2.1

You might be interested in

If the simple interest on $3,000 for 8 years is $1,680, then what is the interest rate?

madam [21]

We need to use the formula for simple interest which is
I= prt
Where I is the amount of money you earned or pay in interest
p is the principal, the amount you deposited or borrowed
r is the interest rate expressed as a decimal
t is time in terms of years

In this problem, I= 1,680
p= 3000
t= 8
'. r is what we are looking for.

Substituting the numbers into the simple interest formula, we get
I=. p r t
1,680=(3000)(r)(8). Multiplying
1,680= 24,000r Divide both sides by 24,000
0.07= r
So, the percentage is (0.07)(100)= 7%...

8 0

2 years ago

Find the missing side of the triangle

likoan [24]

the side x is 15

bottom right angle is 31.61 degrees

other angle is 58.39 degrees

6 0

2 years ago

Read 2 more answers

If 3(d+1)=4(d–2) then what is the value of 5(d–2)

Sonja [21]

Answer:

5(d - 2) = 45

Step-by-step explanation:

Solve the given equation for d

3(d + 1) = 4(d - 2) ← distribute parenthesis on both sides

3d + 3 = 4d - 8 ( subtract 3d from both sides )

3 = d - 8 ( add 8 to both sides )

11 = d

Then

5(d - 2) = 5(11 - 2) = 5(9) = 45

3 0

2 years ago

Each section of a race is 25 mile. the race has 4 sections.

In-s [12.5K]

The answer is to that is 100
25times 4

5 0

3 years ago

Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ = 7. The hypotheses H0

pshichka [43]

Answer:

(a) The value $\bar x$ = 72.3 is 1.21 standard deviations below the null value of μ.

(b) The mean drying time of paint is not less than 74.

Step-by-step explanation:

The hypothesis for the single mean test is:

H₀: μ = 74 vs. Hₐ: μ < 74.

The information provided is:

σ = 7

n = 25

As the population standard deviation is known, we will use a z-test for single mean.

(a)

The z-score is a Normal distribution with mean 0 and variance 1. It is also defined as the number of standard deviations a raw score is from the mean.

The z-score for sample mean is given by:

$z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}$

If $\bar x$ = 72.3 compute the corresponding z-score as follows:

$z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}$

$=\frac{72.3-74}{7/\sqrt{25}}\\=-1.21$

Thus, the value $\bar x$ = 72.3 is 1.21 standard deviations below the null value of μ.

(b)

So the test statistic is, z = -1.21.

Compute the p-value of the test as follows:

$p-value=P(Z$

*Use a z-table.

The decision rule says to, reject the null hypothesis if the p-value is less than the significance level α = 0.01 and vice-versa.

p-value = 0.1131 < α = 0.01

The null hypothesis was failed to be rejected.

Thus, the mean drying time of paint is not less than 74.

6 0

2 years ago