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aliya0001 [1]
3 years ago
13

Write an explicit formula for then th an. term of the sequence 45, 15,5. ....

Mathematics
1 answer:
7nadin3 [17]3 years ago
7 0

Answer:

The sequence above is a geometric sequence

For an nth in a geometric sequence

u(n) = a {r}^{n - 1}

where n is the number of terms

a is the first term

r is the common ratio

From the question

a = 45

r = 15 / 45

The explicit formula for the sequence is

U(n) = 45(1/3)^n-1

Hope this helps you

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Suppose I claim that the average monthly income of all students at college is at least $2000. Express H0 and H1 using mathematic
pishuonlain [190]

Answer:

For this case we want to test if the the average monthly income of all students at college is at least $2000. Since the alternative hypothesis can't have an equal sign thne the correct system of hypothesis for this case are:

Null hypothesis (H0): \mu \geq 2000

Alternative hypothesis (H1): \mu

And in order to test this hypothesis we can use a one sample t or z test in order to verify if the true mean is at least 200 or no

Step-by-step explanation:

For this case we want to test if the the average monthly income of all students at college is at least $2000. Since the alternative hypothesis can't have an equal sign thne the correct system of hypothesis for this case are:

Null hypothesis (H0): \mu \geq 2000

Alternative hypothesis (H1): \mu

And in order to test this hypothesis we can use a one sample t or z test in order to verify if the true mean is at least 2000 or no

7 0
3 years ago
When a number is tripled, the result is 99. Let p represent the number. What is the value of the number?
artcher [175]

Answer:

p equals 33 which is the answer to the problem

6 0
3 years ago
a local hamburger shop sold a combined total of 770 burgers and cheeseburgers on Monday there were 70 more cheeseburger sold tha
aliina [53]
Let the number of hamburgers = h

Let the number of cheeseburgers = c

Now we translate the given information into equations.

"combined total of 770 [ham]burgers and cheeseburgers"
h + c = 770

<span>"there were 70 more cheeseburger sold than hamburgers"
</span><span>
</span><span>c = h + 70
</span><span>
</span><span>
</span><span>Our system of equations is
</span><span>
</span><span>
</span><span />h + c = 770
c = h + 70

The second equation is already solved for c, so we replace c of the first equation with h + 70.
h + h + 70 = 770
2h + 70 = 770
2h = 700
h = 350

Answer:  350 hamburgers were sold on Monday.


4 0
3 years ago
The gas tank in Sharon’s car can hold up to 16.5 gal of gas. About how many liters of gas can the tank hold? 1 L≈1.06 qt
My name is Ann [436]
Most people have trouble deciding on what conversion factor to use. If there you use one conversion factor, and you get something like this:

(gal^2)/qt

Then you know that you used the wrong conversion factor. ALWAYS remember to multiply and divide your units. If you don't, you will not know whether or not you got what you were looking for.

4 0
3 years ago
If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to (s o t)(-7)?
marishachu [46]

Answer:

The correct answer is A) -439

Step-by-step explanation:


8 0
3 years ago
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