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2 years ago

2-3/4z=1/8z+9 please show your steps!

1 answer:

4 0

1. 2 - 3z/4 = 1/8z + 9 (simplify 3/4z to 3z/4)

2. 2 - 3z/4 = z/8 + 9 (simplify 1/8z to z/8)

3. 16 - 6z = z + 72 (multiply both sides by 8 (the LCM of 4,8)

4. -6z = z + 72 - 16 (subtract 16 from both sides)

5. -6z = z + 56 (simplify z + 72 - 16 to z + 56)

6. -6z - z = 56 (subtract z from both sides)

7. -7z = 56 (simplify -6z - z to -7z)

8. z = 56/-7 (divide both sides by -7)

9. z = -8. (simplify 56/7 to 8)

So in conclusion your answer to the equation would be -8.

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Please help me I will reward brainlest

nikklg [1K]

C, the sum of the decimals is greater than one, meaning they shade more than one.

4 0

3 years ago

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Suppose that 75% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. Consider grou

RSB [31]

Answer:

b) 0.2961

c) 0.2251

d) Mean = 11.25, Standard deviation = 1.667

Step-by-step explanation:

We are given the following information:

We treat trucks undergoing a brake inspection passin as a success.

P( trucks undergoing a brake inspection passes the test) = 75% = 0.75

a) Conditions for binomial probability distribution

There are n independent trial.
Each trial have a success probability p
The probability of success is same for all trials.

Then the number of trucks undergoing a brake inspection follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 15

b) P(proportion of groups will between 8 and 10 trucks pass the inspection)

We have to evaluate:

$P(8\leq x \leq 10) = P(x = 8) + P(x = 9) + P(x = 10)\\= \binom{15}{8}(0.75)^8(1-0.75)^7 + \binom{15}{9}(0.75)^9(1-0.75)^6 + \binom{15}{10}(0.75)^{10}(1-0.75)^5\\= 0.0393 + 0.0917 + 0.1651\\= 0.2961$

c) P( exactly 3 trucks fail the inspection)

p = 0.25

$P(x = 3)\\= \binom{15}{3}(0.25)^3(1-0.25)^{12}\\=0.2251$

d) Mean and standard deviation

$\mu = np = 15(0.75) = 11.25\\\sigma = \sqrt{np(1-p)} = \sqrt{15(0.75)(1-0.75)} = 1.667$

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2 years ago

. What is the order of the coordinates in an ordered pair (4, 6)

Harlamova29_29 [7]

Answer:

i lost lots of pts so i had to do it bro

Step-by-step explanation:

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2 years ago

Gianna invested $30,000 in an account paying an interest rate of 1.9% compounded

Ganezh [65]

Answer:

5,095,068

Step-by-step explanation:

The equation for this problem is x^y * z where x is the percentage, Y is the number of years, and Z is the original deposit. Multiply 1.9^8 * 30,000 which becomes; 5,095,068.

Whoever has that bank account is going to be very rich.

3 0

3 years ago

What is the value of x when -25(x - 4) = -55(x - 10) ?

Free_Kalibri [48]

Simplify both sides of the equation

-25(x-4)=-55(x-10)

(-25)(x) + (-25)(-4)=(-55)(x) + (-55) (-10)

Distribute

-25x+100=-55x+550

Add 55x to both sides

-25x+100+55x=-55x+550+55x

30x+100-100=550-100

subtract 100 from both sides

30x+100-100=550-100

30x=450

divide both sides by 30

30x/30=450/30

x= 15

The value of x is 15

I hope that's help you my friend !

5 0

2 years ago

Read 2 more answers