Someone please help please and actually Answer

The mean of seven positive integers is 16. When the smallest of these seven integers is removed, the sum of the remaining six in

VashaNatasha [74]

Answer: The value of the integer that was removed = 4

Step-by-step explanation:

Sum of n values= Mean x n

Given: n = 7 , Mean = 16

Let x= integer removed.

Sum of remaining 6 integers = 6

$\Rightarrow\ x+108 = 16\times7\\\\\Rihghtarrow\ x+108= 112\\\\\Rightarrow\ x=112-108\\\\\Rightarrow\ x= 4$

Hence, the value of the integer that was removed = 4

8 0

3 years ago

Manuel has 5/8 of a pizza to share equally with his brother. What fraction of the original pizza will each person receive?

Irina-Kira [14]

Answer:

1¼

Step-by-step explanation:

⅝ ÷½

=⅝×²/1

=⁵/4

=1¼

Whenever you divide two fractions you rewrite it switching the division sign for multiplication and writing the reciprocal of the second fraction.

3 0

3 years ago

The square root of a negative number, such as StartRoot negative 144 EndRoot, is undefined. Explain why the square root of –x, S

IRINA_888 [86]

Answer:

see the explanation

Step-by-step explanation:

we have

$f(x)=\sqrt{-x}$

we know that

The radicand of the function cannot be a negative number

so

$-x\geq 0$

Solve for x

Multiply by -1 both sides

$x\leq 0$

The domain of the function f(x) is the interval -----> (-∞, 0]

The domain is all real numbers less than or equal to zero

The range of the function f(x) is the interval ----> [0,∞)

The range is all real numbers greater than or equal to zero

Example

For x=144

$144\leq 0$ ----> is not true

This value of x not satisfy the domain

substitute

$f(x)=\sqrt{-144}$ ----> this value is undefined

For x=-144

$-144\leq 0$ ----> is true

This value of x satisfy the domain

substitute

$f(x)=\sqrt{-(-144)}$

$f(x)=\sqrt{144}$ ----> this value is defined

therefore

The function will be undefined for all those values of x that do not belong to the interval of the domain of the function

6 0

3 years ago

Read 2 more answers

Ali surveyed 200 students at a school and recorded the eye color and the gender of each student. of the 80 male students who wer

Aloiza [94]

Total number of students surveyed = 200
Number of male students = 80
Number of female students = 200 - 80 = 120

Number of brown eyed male students = 60
Probability of a brown eyed male student = 60 / 80 = 0.75.

Since, eye color and gender are independent, this means that eye color is not affected by the gender. Thus, we expect a similar probability of brown eye for female as we had for male.

Let the number expected of brown eyed females be x, then x / 120 = 0.75.

Thus, x = 120(0.75) = 90.

Therefore, the number female students surveyed expected to be brown eyed is 90.

7 0

3 years ago

Santino bought a book for $23.54. The price of the book was $22. What was the sales-tax rate?

Vika [28.1K]

We first find value of tax in dollars.

The difference between the two prices is: 23. 54 - 22 = 1.54

Therefore the sales tax in dollars is 1.54

The tax % will be (amount of tax / original cost price ) × 100

(1.54 / 22) × 100 → (0.07) × 100 = 7

So the tax rate is 7%

We can double check the answer.

7 % of 22 → (7/100) × 22 → 0.07 × 22 = 1.54

22 + 1.54 = 23.54

6 0

3 years ago