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3 years ago

Can somebody explain how to do this ?

Mathematics

2 answers:

Alenkinab [10]3 years ago

6 0

Answer:

$y=-6$ is the correct answer.

Step-by-step explanation:

The steps involved in solving an algebraic equation in one variable are as stated as:

Step 1: If necessary, simplify the expressions on each side of the equation. This would involve things like removing parentheses, adding like terms, removing fractions.

To remove fractions: Since fractions are another way to write division, and the inverse of divide is to multiply, you remove the fractions by multiplying both sides by the "Least Common Divisor" of all your fractions.

Step 2: Use Addition / Subtraction properties to move the variable term to one side and all other terms to the other side.

Step 3: Use Multiplication / Division properties to remove any values that in front of the variable.

Step 4: Check your answer.

Step-by-Step Solution:

$12\left(5+2y\right)=4y-\left(6-9y\right)\\\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\\\\mathrm{Expand\:}12\left(5+2y\right)\:\:=\:\: 60+24y\\\\\mathrm{Expand\:}4y-\left(6-9y\right)\:\:=\:\: 13y-6\\\\60+24y=13y-6\\\\\mathrm{Subtract\:}60\mathrm{\:from\:both\:sides}\\\\60+24y-60=13y-6-60\\\\24y=13y-66\\\\\mathrm{Subtract\:}13y\mathrm{\:from\:both\:sides}\\\\24y-13y=13y-66-13y\\\\11y=-66\\\\\mathrm{Divide\:both\:sides\:by\:}11\\\\\frac{11y}{11}=\frac{-66}{11}\\\\y=-6$

maria [59]3 years ago

5 0

Answer:

-6

Step-by-step explanation:

12(5+2y) = 4y - (6-9y)

60+24y = 4y-6+9y

24y + 60 = 13y - 6

24y-13y = -6-60

11y = -66

y = -6

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Of 1,050 randomly selected adults, 360 identified themselves as manual laborers, 280 identified themselves as non-manual wage ea

garik1379 [7]

Answer:

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

Step-by-step explanation:

We have a sample of executives, of size n=160, and the proportion that prefer trucks is 26%.

We have to calculate a 95% confidence interval for the proportion.

The sample proportion is p=0.26.

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.26*0.74}{160}}\\\\\\ \sigma_p=\sqrt{0.0012}=0.0347$

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_p=1.96 \cdot 0.0347=0.068$

Then, the lower and upper bounds of the confidence interval are:

$LL=p-z \cdot \sigma_p = 0.26-0.068=0.192\\\\UL=p+z \cdot \sigma_p = 0.26+0.068=0.328$

The 95% confidence interval for the population proportion is (0.192, 0.328).

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

3 0

4 years ago

I don’t get it! It says “Match each division expression to it’s quotient.” So can anyone help with 1/12 / 1/6 ? Please!

natta225 [31]

We have two fractions being divided. When we divide two fractions, we flip the second fraction and multiply

1/12 divided by 1/6 = 1/12 * 6/1

-------

From here we multiply straight across.

The numerators multiply to get 1*6 = 6

The denominators multiply to 12*1 = 12

We end up with 6/12 which reduces to 1/2 when you divide both parts by the GCF 6

<h3>Final Answer: 1/2</h3>

5 0

3 years ago

The space shuttle flight control system called PASS (Primary Avionics Software Set) uses four independent computers working in p

tigry1 [53]

Answer:

$f_X(k)=\binom{4}{k}0.003^k0.997^{4-k}$

Step-by-step explanation:

Recall that a <em>probability mass function</em> defined on a discrete random variable X is just a function that gives the probability that the random variable equals a certain value k

$f_X(k)=P(X=k)$

In this case we have the event

“The computer will ask for a roll to the left when a roll to the right is appropriate” with a probability of 0.003.

Then we have 2 possible events, either the computer is right or not.

Since we have 4 computers in parallel, the situation could be modeled with a binomial distribution and the probability mass function

$f_X(k)=\binom{4}{k}0.003^k0.997^{4-k}$

This gives the probability that k computers are wrong at the same time.

6 0

3 years ago

I need help please?!!!

Sveta_85 [38]

Answer:

(-4,14)

(which you already choose)

Step-by-step explanation:

5 0

4 years ago

Roman55 [17]

Anser: Brooo

Step-by-step explanation:

I cannot readd this

8 0

3 years ago