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lara [203]
1 year ago
15

If an arithmetic sequence has a 10th term of 17 and a 14th term of 30. find the common difference (d).

Mathematics
1 answer:
stellarik [79]1 year ago
3 0

Answer:

common difference is 13/4

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Nadia is ordering cheesecake at a restaurant, and the server tells her that she can have up to five toppings: caramel, whipped c
Nesterboy [21]

Answer:

The probability that Nadia gets just caramel, butterscotch sauce, strawberries, and hot fudge is P =  1/32 = 0.03125

Step-by-step explanation:

There are up to 5 toppings, such that the toppings are:

caramel

whipped cream

butterscotch sauce

strawberries

hot fudge

We want to find the probability that,  If the server randomly chooses which toppings to add, she gets just caramel, butterscotch sauce, strawberries, and hot fudge.

First, we need to find the total number of possible combinations.

let's separate them in number of toppings.

0 toppins:

Here is one combination.

1 topping:

here we have one topping and 5 options, so there are 5 different combinations of 1 topping.

2 toppings.

Assuming that each topping can be used only once, for the first topping we have 5 options.

And for the second topping we have 4 options (because one is already used)

The total number of combinations is equal to the product between the number of options for each topping, so here we have:

c = 4*5 = 20 combinations.

But we are counting the permutations, which is equal to n! (where n is the number of toppings, in this case is n = 2), this means that we are differentiating in the case where the first topping is caramel and the second is whipped cream, and the case where the first topping is whipped cream and the second is caramel, to avoid this, we should divide by the number of permutations.

Then the number of different combinations is:

c' = 20/2! = 10

3 toppings.

similarly to the previous case.

for the first topping there are 5 options

for the second there are 4 options

for the third there are 3 options

the total number of different combinations is:

c' = (5*4*3)/(3!) = (5*4*3)/(3*2) = 10

4 toppings:

We can think of this as "the topping that we do not use", so there are only 5 possible toppings to not use, then there are 5 different combinations with 4 toppings.

5 toppings:

Similar to the first case, here is only one combination with 5 toppings.

So the total number of different combinations is:

C = 1 + 5 + 10 + 10 + 5 + 1 = 32

There are 32 different combinations.

And we want to find the probability of getting one particular combination (all of them have the same probability)

Then the probability is the quotient between one and the total number of different combinations.

p = 1/32

The probability that Nadia gets just caramel, butterscotch sauce, strawberries, and hot fudge is P =  1/32 = 0.03125

8 0
3 years ago
Which of the following is a non-linear equation?
Lana71 [14]

Answer:

iv ; xy + x/y = 3

Step-by-step explanation:

A non linear equation is one in which there is no product of two different variables or the same variable

What this mean is that we have the highest polynomial power as 1 or we simply have polynomials of degree 1

Looking at the given options, we can see the product xy

What this mean is that the polynomial is of degree 2 and that makes the equation a non linear as we have a polynomial of more than 1 degree

8 0
2 years ago
What is the answer? I find this very confusing for me.
vichka [17]

Answer:

19

Step-by-step explanation:

If you want to find the answer of the equation, sub the given information into it:

z + xz + y

we know that:

x = 5

y = 1

z = 3

We got:

= 3 + 5*3 + 1

= 3 + 15 + 1

= 19

Hope this helped :3

5 0
3 years ago
What is similar multiplying fractions and whole numbers and what is different?
melomori [17]
You multiply straight across, and one number is  a fraction and the other is not.
3 0
3 years ago
Solve the inequality.
MatroZZZ [7]
6x-4>8-2x

Add 2x on each side

8x-4>8

8x>12
x>12/8

x>3/2

The answer is B
4 0
3 years ago
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