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AnnyKZ [126]
3 years ago
12

Abby scored 87, 86, 93, and 89 on her first four history quizzes. What score does Abby need to get on her fifth quiz to have an

average of exactly 91 on her history quizzes.?
A.94 B.98 C.100 D.90
​
Mathematics
1 answer:
Delicious77 [7]3 years ago
4 0

Answer:

(C) 100

Step-by-step explanation:

The average of a data set is just all the numbers added up divided by the amount of numbers.

If we already have 4 pieces of data and we're looking for one more, we have 5 data pieces.

This means that the sum of all of the numbers in the data set will be 91\cdot5=455 if the mean is 91.

We can find the missing value by adding up what we know and subtracting from 455.

87+86+93+89=355\\\\455-355=100

So Abby needs a 100% on her fifth history quiz to have an average of 91 on all her quizzes.

Hope this helped!

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OlgaM077 [116]

Answer:

what is this topic in math?

3 0
3 years ago
Test the set of polynomials for linear independence. If it is linearly dependent, express one of the polynomials as a linear com
aliina [53]

Answer:

The set of polynomial  is Linearly Independent.

Step-by-step explanation:

Given - {f(x) =7 + x, g(x) = 7 +x^2, h(x)=7 - x + x^2} in P^2

To find - Test the set of polynomials for linear independence.

Definition used -

A set of n vectors of length n is linearly independent if the matrix with these vectors as columns has a non-zero determinant.

The set is dependent if the determinant is zero.

Solution -

Given that,

f(x) =7 + x,

g(x) = 7 +x^2,

h(x)=7 - x + x^2

Now,

We can also write them as

f(x) = 7 + 1.x + 0.x²

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Now,

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A = \left[\begin{array}{ccc}7&1&0\\7&0&1\\7&-1&1\end{array}\right]

Now,

Det(A) = 7(0 + 1) - 1(7 - 7) + 0

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As the determinant is non- zero ,

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5 0
2 years ago
The sum of two consecutive integers is 91. Find the integers.
Reil [10]

Answer:

Let the smaller integer be x and greater integer be (x+1)

x+(x+1)=91

2x+1=91

2x=91-1=90

x=90/2

x=45

7 0
2 years ago
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kvv77 [185]

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3 years ago
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