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VashaNatasha [74]
3 years ago
14

Six times the sum of a number and negative four is twelve. Find the number. Round your answer to the nearest integer, if necessa

ry.
Mathematics
1 answer:
GuDViN [60]3 years ago
3 0
If we call the number x, we can write an equation to solve:

6(x - 4) = 12
6 × x = 6x
6 × -4 = -24

So you get 6x - 24 = 12

6x - 24 = 12
+ 24
6x = 12
÷ 6
x = 2

And your final answer is 2, I hope this helps!
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Consider this algebraic expression:     –3x + x + 5 Use the algebra tiles to model the expression.
luda_lava [24]

For this case, we have the following expression:

-3x + x + 5

We simplify the expression:

If we add similar terms, taking into account that different signs are subtracted and the sign of the greater one is placed, we have that -3x + x = -2x

So, we have to:

-3x + x + 5 = -2x + 5

Answer:

-3x + x + 5 = -2x + 5

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3 years ago
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Select the correct answer.
Licemer1 [7]

Answer:

C

Step-by-step explanation:

Taking the equation for this we can see that A is using 8 to multiply. 8% = 0.08. But since the percent is increases it would be 1.08. So we can see that it cant be A, this applys for B as well. For D it says 1.8 which is close but that would be 80% not 8%. So now we can see that C is the answer.

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Hi i need hlp wats 23+1 :(
Stels [109]
If you want to know... it's 24
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Which of the following equations is equivalent to x - y = 5?
Butoxors [25]
Y= x-5 is equivelent to the equation
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3 years ago
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Of 375 randomly selected students, 30 said that they planned to work in a rural community. Find 95% confidence interval for the
Artemon [7]

Answer:

The 95% confidence interval for the true proportion of all medical students who plan to work in a rural community is (0.0525, 0.1075).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 375, \pi = \frac{30}{375} = 0.08

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.08 - 1.96\sqrt{\frac{0.08*0.92}{375}} = 0.0525

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.08 + 1.96\sqrt{\frac{0.08*0.92}{375}} = 0.1075

The 95% confidence interval for the true proportion of all medical students who plan to work in a rural community is (0.0525, 0.1075).

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