All categories

2 years ago

The average of 10 numbers is -5. A new number is added to the list making the average -6. What is the new number?

Mathematics

1 answer:

Shtirlitz [24]2 years ago

4 0

Answer:

- 16

Step-by-step explanation:

Average is calculated as

average = $\frac{total}{count}$

Thus for the given 10 numbers we have

$\frac{total}{10}$ = - 5 ( multiply both sides by 10 )

total = - 50

let the number added be x, then

$\frac{total+x}{11}$ = - 6 ( multiply both sides by 11 )

total + x = - 66, that is

- 50 + x = - 66 ( add 50 to both sides )

x = - 16

The new number is - 16

You might be interested in

A rectangle has height and width changing in such a way that the area remains constant 2 square feet. At the instant the height

hichkok12 [17]

Answer:

$\frac{1}{3}$ ft/min is the rate of changing of width

Step-by-step explanation:

Given -

The area always remain constant i.2 2 square feet.

Height of the rectangle = 2 feet

Rate of changing of height = 6 feet per minute

Since area is constant

2 sq ft = (2 * 6) ft/min * 1 * x ft/min

x = $\frac{1}{3}$ ft/min

4 0

2 years ago

A basketball player that shoots 80% from the free throw line attempts two free throws. The notation for conditional probability

taurus [48]

Answer:

P(made 2nd attempt|made 1st attempt)=P(made 2nd attempt)

Step-by-step explanation:

Here given that a basketball player that shoots 80% from the free throw line attempts two free throws.

If x is the no of shoots he makes (say) then we find that each throw is independent of the other.

In other words, because he made successful first attempt, his chances for second attempt will not change

Prob for success in each attempt remains the same as 0.80

Hence I throw is independent of II throw.

When A and B are independent,then we have

P(A/B) = P(A)

Hence answer is

P(made 2nd attempt|made 1st attempt)=P(made 2nd attempt)

8 0

2 years ago

Arthur took out a 20 year loan for $60,000 at an APR of 4.4% compounded monthly. Approximately how munch would save if he paid i

Eduardwww [97]

Monthly payments, P = {R/12*A}/{1- (1+R/12)^-12n}

Where R = APR = 4.4% = 0.044, A = Amount borrowed = $60,000, n = Time the loan will be repaid

For 20 years, n = 20 years
P1 = {0.044/12*60000}/{1- (1+0.044/12)^-12*20} = $376.36

Total amount to be paid in 20 years, A1 = 376.36*20*12 = $90,326.30

For 3 years early, n = 17 year
P2 = {0.044/12*60,000}/{1-(1+0.044/12)^-12*17} = $418.22

Total amount to be paid in 17 years, A2 = 418.22*17*12 = $85,316.98

The saving when the loan is paid off 3 year early = A1-A2 = 90,326.30 - 85,316.98 = $5,009.32

Therefore, the approximate amount of savings is A. $4,516.32. This value is lower than the one calculated since the time of repaying the loan does not change. After 17 years, the borrower only clears the remaining amount of the principle amount.

8 0

2 years ago

Read 2 more answers

Jillian said StartRoot 25 EndRoot is irrational because it is a square root. Why is she incorrect? Jillian is incorrect because

8_murik_8 [283]

Answer:

Jillian is incorrect because square roots of perfect squares are rational.

Step-by-step explanation:

√25 = √(5²) = 5 - rational

25 is perfect square.

6 0

2 years ago