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4 years ago

In the figure, x ǁ y and a ǁ b. What is m∠2? m∠2 = ___°

Mathematics

2 answers:

Marizza181 [45]4 years ago

8 0

∠2 =∠1 which is 180° -65° =115°
So ∠2=115°

lys-0071 [83]4 years ago

7 0

You would take 180-65 to get an answer of 115.

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In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and de

Svetach [21]

Answer:

The 99% confidence interval for the proportion of ASD in Arizona is (0.014, 0.018).

Step-by-step explanation:

The information provided is as follows:

$x=507\\n=32601\\\text{Confidence level }=99\%$

The sample proportion is:

$\hat p=\frac{x}{n}=\frac{507}{32601}=0.016$

The critical value of z for 99% confidence level is, z = 2.56.

Compute the 99% confidence interval for the proportion of ASD in Arizona as follows:

$CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}$

$=0.016\pm 2.58\cdot\sqrt{\frac{0.016(1-0.016)}{32601}}\\\\=0.016\pm 0.0018\\\\=(0.0142, 0.0178)\\\\\approx (0.014, 0.018)$

Thus, the 99% confidence interval for the proportion of ASD in Arizona is (0.014, 0.018).

6 0

3 years ago

If 3x - 2 = 13, what is the value of x? 0-5 • 5 0 -3.7 0 3.7

SIZIF [17.4K]

X=5 because you add 2 to both side and get 3x=15, and then you divide both sides by 3 to get x alone, and get 15/3 which equals 5

5 0

3 years ago

Read 2 more answers

Rewrite this decimal 4.5 as a mixed fraction in its lowest term.

Crazy boy [7]

Answer:

4.5=4 and 1/2

Step-by-step explanation:

4 0

3 years ago

A 20 foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the

GarryVolchara [31]

The bottom of the ladder is 10.5 feet away from the wall

Step-by-step explanation:

The given scenario forms a right triangle.

Where

The length of ladder will be the hypotenuse

The wall on which the window is situated will ebt he perpendicular and

The distance between the foot of ladder and the wall will be the base

So,

Hypotenuse = H = 20 foot

Perpendicular = P = 17 feet

Base = B = ?

Using the Pythagoras theorem

$H^2=P^2+B^2\\(20)^2=(17)^2+B^2\\400=289+B^2\\400-289=B^2\\B^2=111\\Taking\ square\ root\ on\ both\ sides\\\sqrt{B^2}=\sqrt{111}\\B=10.53\\Rounding\ off\ to\ the\ nearest\ tenth\\B=10.5$

The bottom of the ladder is 10.5 feet away from the wall

Keywords: Triangle, Pythagoras Theorem

Learn more about Pythagoras theorem at:

#LearnwithBrainly

8 0

3 years ago

Please help!!!!! For the data set shown by the table

Rom4ik [11]

B) lograrithmic
this is obvious since it is increasing at decreasing rate

8 0

4 years ago