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Alinara [238K]
3 years ago
6

The mean household income for a certain state is $70,000 with a standard deviation of $10,000. Assuming a Normal distribution, a

bout 95 percent of all households have an income over what amount?
Answer is 53,551 (How do I get this??)
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
3 0

Answer:

$53,550

Step-by-step explanation:

X ~ N(70,000 , 10,000²)

P(X > t) = 0.95

z = -1.645

-1.645 = (t - 70000)/10000

t - 70000 = -16450

t = 53,550

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Allam just finished a great meal at a restaurant in Wisconsin. The sales tax in Wisconsin is 5 percent, and it is costumary to l
lubasha [3.4K]

Answer:

Tax = $0.75

Tip = $2.25

Total (meal + tax + tip)= $18.00

Step-by-step explanation:

When solving for percentages of a number, such as sale tax and tip, multiplying the decimal equivalent of each percentage to the amount will give you the individual costs.  For example, in this case the sales tax is 5%, the decimal equivalent of 5% = 5 ÷ 100 = 0.05.  To find the amount of tax on Allam's meal, multiply the rate by the amount:

0.05 x $15 = $0.75

Since he plans to leave a 15% tip, we can also multiply the amount of the meal by the planned tip amount:

15 ÷ 100 = 0.15

0.15 x $15 = $2.25

Total amount paid, including tax and tip:

$15 + $0.75 + $2.25 = $18.00

6 0
3 years ago
You purchased $132.49 worth of wheels and bearings for your skateboards. The shop charges $15 per board to install them. The tot
Mila [183]

4 skateborards will be repaired

4 0
3 years ago
PLEASE HELP!? Not that hard.
kobusy [5.1K]
Y = 4x - 1

// Plug this in for variable y in equation [1]

[1] 20x - 5•(4x-1) = 5
[1] 0 = 0 => Infinitely many solutions
8 0
3 years ago
Read 2 more answers
Please help... I really need this.
valentinak56 [21]

Answer:

\frac{4x^3-3x^2+5x+6}{x+6}=4x^2-27x+167-\frac{996}{x+6}

Step-by-step explanation:

The division problem given to us is (4x^3-3x^2+5x+6)\div (x+6).

To perform the synthetic division, we write out the coefficient of the polynomial. We set the linear factor to zero and solve for x, this becomes our divisor. That is x+6=0\implies x=-6.

We carry out the synthetic division as shown in the attachment.

The result of the synthetic division is 4   -27   167   -996

The first three terms are the coefficients of the quotient and the last term is the remainder.

Therefore the quotient is q(x)=4x^2-27x+167 and the remainder is r(x)=-996.

The dividend, the quotient and the divisor are written as

\frac{4x^3-3x^2+5x+6}{x+6}=4x^2-27x+167-\frac{996}{x+6}

The correct answer is A

3 0
3 years ago
The midpoint of AB is M(1, 6). If the coordinates of A are (8, 4), what are the coordinates of B?
Ne4ueva [31]

Answer:

(-6,8)

Step-by-step explanation:

8+x2=2       4+y2=12

x2= -6         y2= 8

4 0
3 years ago
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