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tankabanditka [31]
4 years ago
13

Need help find the missing term

Mathematics
1 answer:
Lerok [7]4 years ago
7 0
Let me show u one in detail.

First we have to find the common ratio. We do this by dividing the second term by the first term.

ur first problem...
12/3 = 4...so the common ratio is 4

now we use the formula
an = a1 * r^(n-1)
n = term u want to find = 15
a1 = first term = 3
r = common ratio = 4
now we sub
a15 = 3 * 4^(15 - 1)
a15 = 3 * 4^14
a15 = 3 * 268435456
a15 = 805,306,368 <== ur 15th term

thats all there is to it...and, of course, u can always look on the internet for a geometric sequence calculator...to check urself...lol
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Pls help me with this question
k0ka [10]

Answer:

height = 12 feet

Step-by-step explanation:

r (radius of circle) = 7 ft

pi = 3.14 (in this context)

v = 1/3 * πr^{2} (or pi * radius squared) * h

r squared = 49 ft

v = 1/3 3.14 * 49 * h

v = 1/3 153.86 * h

3v = 153.86 * h

v = 196π

v = 615.44

3v = 1,846.32

1,846.32 = 153.86 * h

h = 12 ft.

3 0
3 years ago
The manager of the quality department for a tire manufacturing company wants to study the average tensile strength of rubber use
Alika [10]

Answer:

p_v =P(z>z_{calc})=0.067  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis at 10% of significance.

So then the answer would be

a. true

Step-by-step explanation:

Data given and notation  

\bar X represent the sample mean

\sigma represent the population standard deviation

n sample size  

\mu_o =800 represent the value that we want to test

\alpha=0.1 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is less or equal than 800 for the null hypothesis:  

Null hypothesis:\mu \leq 800  

Alternative hypothesis:\mu > 800  

The z statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) and we assume that she got a calculated value z_{calc}

P-value

Since is a right tailed test the p value would be:  

p_v =P(z>z_{calc})=0.067  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis at 10% of significance.

So then the answer would be

a. true

3 0
4 years ago
A bag contains green marbles and blue marbles, 55 in total. The number of green marbles is 7 more than 5 times the number of blu
MrRissso [65]

Answer:

Step-by-step explanation:

Total marbles in bag= 55

Given that

The number of green marbles is 7 more than 5 times the number of blue marbles.

Let green marble be x

And blue marble be y

Therefore,

Green=seven more than 5 times blue

Green=7+5timesblue

x=7+5y. Equation 1

Also the sum of the marbles is 55

x+y=55. Equation 2

Substitute equation 1 into 2

7+5y+y=55

7+6y=55

6y=55-7

6y=48

y=48/6

y=8

From equation 2

x+y=55

Then, x=55-y

x=55-8

x=47

Then, green marbles is 47.

Also, Blue marbles is 8

7 0
4 years ago
 Rearrange the formula y = mx + b for m.
jenyasd209 [6]
X=(y-b)/m........ . . . .
7 0
4 years ago
Read 2 more answers
Teri has a bag of colored marbles. Five marbles are red, four are green,
scoundrel [369]

Step-by-step explanation:

Total marbles = 20

No of white marbles = 1

No of red marbles = 5

No of green marbles = 4

No of blue marbles = 10

.Probability of green marble = 4 / 20 = 1/5

Probability of blue marble = 10 / 20 = 1/2

3 0
4 years ago
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