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3 years ago

If x - 8 = -10, then find the value of 4x - 12

Mathematics

1 answer:

Soloha48 [4]3 years ago

8 0

Answer:

60 is your answer.

Step-by-step explanation:

x - 8 = 10

add 8 to both sides,

x = 18

substitute 18 for x in the second equation:

4(18) - 12 = 72 - 12 = 60

Please lmk if you have questions.

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What is the equation of the line that passes through (-9,12) and is perpendicular to the line whose equation is y=1/3x 6?

tigry1 [53]

Y = 1/3x ? 6....slope here is 1/3. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So our perpendicular line will have a slope of -3 (see how I flipped 1/3 and changed the sign)

y = mx + b
slope(m) = -3
(-9,12)...x = -9 and y = 12
now we sub and find b, the y int
12 = -3(-9) + b
12 = 27 + b
12 - 27 = b
-15 = b

so ur perpendicular equation is : y = -3x - 15

6 0

3 years ago

How to do this question plz answer my question step by step plzz plz plz plz

never [62]

Answer:

40°, 95°, 105°, and 160°

Step-by-step explanation:

Let the smallest angle be x.

Measures of the 3 angles can be expressed as:

$x + 55$

$x + 65$

$x + 120$

The sum of all angles in a quadrilateral = 360°.

Therefore, $(x + 55) + (x + 65) + (x + 120) = 360$

Solve for x

$x + 55 + x + 65 + x + 120 = 360$

$3x + 240 = 360$

$3x + 240 - 240 = 360 - 240$

$3x = 120$

$\frac{3x}{3} = \frac{120}{3}$

$x = 40$

The smallest angle = 40°

Plug in the value of x in the earlier stated expressions to find the measure of the other angles:

$x + 55 = 40 + 55 = 95$

$x + 65 = 40 + 65 = 105$

$x + 120 = 40 + 120 = 160$

3 0

3 years ago

The sum of the angle measures in a 21-gon is

Dominik [7]

Answer:

180

Step-by-step explanation: The exterior angles sum to 360 and there are 21

6 0

3 years ago

I really need help with this

ValentinkaMS [17]

Answer:

y = -2x + 4

Step-by-step explanation:

The line intercepts at the y axis at 4. And you go to units down then one unit right to get to the next point.

6 0

3 years ago

A report on consumer financial literacy summarized data from a representative sample of 1,664 adult Americans. Based on data fro

daser333 [38]

Answer:

a. The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.

b. Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.

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 $1 - \frac{\alpha}{2}$ .

Sample of 1,664 adult Americans, 939 people in the sample would have given themselves a grade of A or B in personal finance.

This means that $n = 1664, \pi = \frac{939}{1664} = 0.5643$

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:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 - 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.54$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 + 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.588$

The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.

(b) Is the confidence interval from part (a) consistent with the statement that a majority of adult Americans would give themselves a grade of A or B?

Yes, because the confidence interval is entirely above 0.5.

Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.

8 0

3 years ago