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2 years ago

WILL GIVE BRAINLIEST! Find x given y = 76° in the figure below. x = °

Mathematics

2 answers:

4vir4ik [10]2 years ago

7 0

Answer:

104°

Step-by-step explanation:

The straight line for $q$ forms an angle of 180°

Therefore,

$x+y=180$

$x+76=180$

$x=180-76$

$x=104$

Phoenix [80]2 years ago

7 0

X+Y=180
Y=76
X=180-76
X=104 degrees

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X^2 +6x+30 in vertex form

Elina [12.6K]

Answer:

Step-by-step explanation:

Factoring x2-6x-30

The first term is, x2 its coefficient is 1 .

The middle term is, -6x its coefficient is -6 .

The last term, "the constant", is -30

Step-1 : Multiply the coefficient of the first term by the constant 1 • -30 = -30

Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is -6 .

-30 + 1 = -29

-15 + 2 = -13

-10 + 3 = -7

-6 + 5 = -1

-5 + 6 = 1

-3 + 10 = 7

-2 + 15 = 13

-1 + 30 = 29

7 0

3 years ago

Read 2 more answers

Five students visiting the student health center for a free dental examination during National Dental Hygiene Month were asked h

Andrews [41]

Answer:

[0.9 months, 32.69 months]

Step-by-step explanation:

The mean is

$\bf \bar x=\frac{5+17+12+21+29}{5}=16.8$

The standard deviation is

$\bf s=\sqrt{\frac{(5-16.8)^2+(17-16.8)^2+(12-16.8)^2+(21-16.8)^2+(29-16.8)^2}{5}}=8.1092$

Now, we have to find two values a and b such that the area under the Normal curve with mean 16.8 and standard deviation 8.1092 between a and b equals <em>95% = 0.95 </em>

Using a spreadsheet we find these values are

a = 0.906

b = 32.694

<h3>(See picture) </h3>

and our 95% confidence interval for the mean number of months elapsed since the last visit to a dentist for the population of students participating in the program rounded to two decimal places is

[0.9 months, 32.69 months]