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3 years ago

Which expression gives the measure of XYZ?

Mathematics

2 answers:

Thepotemich [5.8K]3 years ago

6 0

we know that

The measure of <u>the interior angle</u> is the semi-sum of the arcs comprising it and its opposite.

$Angle\ XYZ=\frac{1}{2}[arc\ UW+arc\ XZ]$

In this problem we have

$arc\ UW=110\°$

$arc\ XZ=42\°$

substitute the values

$Angle\ XYZ=\frac{1}{2}[110\°+42\°]$

therefore

the answer is the option B

$\frac{1}{2}[110\°+42\°]$

olasank [31]3 years ago

4 0

The correct answer is B

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511 ÷ 7 pls show how you got it

belka [17]

Answer:

Step-by-step explanation:511÷7

Answer is 73

Hope it's helps you

3 0

3 years ago

A 29-foot rope is cut into two pieces. The longer piece is 2 feet longer than twice the shorter piece. How long is each piece?

Sati [7]

Answer:

20 is the longer piece, 9 is the shorter piece

Step-by-step explanation:

9*2=18

18+2=20

20+9=29

5 0

3 years ago

Suppose you have 3 bags. Two of them contain a single $10 bill, and the third contains a single $5 bill. Suppose you pick one of

Alecsey [184]

Answer:

1/2

Step-by-step explanation:

Number of bags = 3

number of bags with $10 bill initially = 2

number of bags with $5 bill initially = 1

assume :

event you pick a $5 bill at first draw = A

event you pick a $5 bill at second draw = B

hence : P ( A n B ) = 1/3 * 1 = 1/3

P( A ) = ( 1/3 * 1 ) + ( 1/3 * 1/2 + 1/3 * 1/2 ) = 2/3

therefore P( that the second drawn bill is $5 )

P( B | A ) = P(A n B ) / P ( A )

= (1/3) / (2/3) = 1/2

7 0

3 years ago

Put the following equation of a line into slope-intercept form, simplifying all

Leviafan [203]

Answer:

$y = x - 4$

Step-by-step explanation:

Given

$2y - 2x = -8$ -- correct expression

Required

Represent as slope intercept form

$2y - 2x = -8$

Make 2y the subject

$2y = 2x - 8$

Divide through by 2

$\frac{2y}{2} = \frac{2x}{2} - \frac{8}{2}$

$y = x - 4$

8 0

3 years ago

Crash testing is a highly expensive procedure to evaluate the ability of an automobile to withstand a serious accident. A simple

Veseljchak [2.6K]

Answer:

The 95% confidence interval is (-0.2451, 06912)

Step-by-step explanation:

From the question, we have;

The number of small cars in the sample of small cars, n₁ = 12

The number of small cars that were totaled, x = 8

The number of large cars in the sample of small cars, n₂ = 15

The number of large cars that were totaled, y = 5

Therefore, the proportion of small cars that were totaled, pX = x/n₁

∴ pX = 8/12 = 2/3

The proportion of large cars that were totaled, pY = y/n₁

∴ pY = 5/15 = 1/3

The 95% confidence interval for the difference pX - pY is given as follows;

$pX-pY\pm z^{*}\sqrt{\dfrac{pX\left (1-pX \right )}{n_{1}}+\dfrac{pY\left (1-pY \right )}{n_{2}}}$

$\dfrac{2}{3} -\dfrac{1}{3} \pm 1.96 \times \sqrt{\dfrac{\dfrac{2}{3} \times \left (1-\dfrac{2}{3} \right )}{12}+\dfrac{\dfrac{1}{3} \times \left (1-\dfrac{1}{3} \right )}{15}}$

Therefore, we have;

$\therefore 95\% \ CI = \dfrac{1}{3} \pm 0.3578454$

The 95% confidence interval, CI = (-0.2451, 06912)

6 0

2 years ago