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4 years ago

Write a fact with the same sum as 7+5

Mathematics

2 answers:

Vikki [24]4 years ago

5 0

6 + 6 = 12

5 + 11 = 16

kozerog [31]4 years ago

3 0

6+6
8+4
9+3
10+2
11+1
Hope this helps!

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Two angles are complementary. The smaller angle is 15° less than the larger angle. Find the measure of each angle.

nika2105 [10]

180-15=165
165÷2=82.5°
this is the answer

6 0

3 years ago

Which is the equation for the line that has a slope of 12 and passes through the point (3, 20)?

Anna007 [38]

Answer:

the first one

Step-by-step explanation:

y-y1=m(x-x1)

y-20=12(x-3)

$y-20+20=12\left(x-3\right)+20$

simplify:

$y=12x-16$

4 0

3 years ago

I dont know how to solve this problem

avanturin [10]

This seems disgusting to solve directly, so let's convert this to vertex form.

1) Divide all terms by 1/2:
2y = -x² - 4x + 14

2) Complete the square:
2y = -(x² + 4x - 14)
2y = -(x² + 4x + 4 - 4 - 14)
2y = -[(x + 2)² - 18]
2y = -(x + 2)² + 18

3) Rewrite in vertex form:
(x + 2)² = -2y + 18
(x + 2)² = -2(y - 9)

Now, we know the vertex is at (-2, 9)
It's a concave down parabola
The axis of symmetry is simply the x-ordinate of the vertex.
The focus is at (-2, 17/2)
The directrix is at (-2, 19/2)
The y-intercept is at y = 7

5 0

4 years ago

In a recent study of statistics students, a random sample of students were asked to provide the number of hours per week they sp

Airida [17]

Answer:

$ME=\frac{Upper-Lower}{2}= \frac{8.15-6.55}{2}= 0.80$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

For this case the confidence interval is given by (6.55,8.15). And we can estimate the margin of error with this formula since the confidence interval is symmetrical:

$ME=\frac{Upper-Lower}{2}= \frac{8.15-6.55}{2}= 0.80$

3 0

3 years ago

All my points lol heeeeeelp

sweet-ann [11.9K]

Answer:

what app is that

Step-by-step explanation:

5 0

3 years ago

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