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Sladkaya [172]
2 years ago
11

Damaris will be working at the local pool over his nine-week summer break. His net pay will be $123.56 each

Mathematics
1 answer:
lesya [120]2 years ago
8 0
I wish I could help but I’m stúpid ;-;. Good luck finding the answer 00p

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In the diagram of circle o, what is the measure of ABC?<br> 27°<br> 54°<br> 108°<br> 120°
Vlad1618 [11]

<u>Given</u>:

Given that a circle O with two tangents BA and BC.

The major arc AC is 234°

The minor arc AC is 126°

We need to determine the measure of ∠ABC

<u>Measure of ∠ABC:</u>

We know the property that, "if a tangent and a secant, two tangents or two secants intersect in the interior of the circle, then the measure of angle formed is one half the difference of the measures of the intercepted arcs."

Hence, applying the above property, we have;

\angle ABC=\frac{1}{2}( major \widehat{AC} - minor \widehat{AC})

Substituting the values, we get;

\angle ABC=\frac{1}{2}( 234^{\circ} -126^{\circ})

\angle ABC=\frac{1}{2}( 108^{\circ})

\angle ABC=54^{\circ}

Thus, the measure of ∠ABC is 54°

Hence, Option b is the correct answer.

5 0
2 years ago
A chi-square test for goodness of fit is used to examine the distribution of individuals across three categories, and a chi-squa
aleksandrvk [35]

Answer:

Equal df

Step-by-step explanation:

Given that a chi square test for goodness of fit is used to examine the distribution of individuals across three categories,

Hence degree of freedom = 3-1 =2

Similarly for a chi-square test for independence is used to examine the distribution of individuals in a 2×3 matrix of categories.

Here degree of freedom = (r-1)(c-1) where r = no of rows and c =no of columns

= (2-1)(3-1) = 2

Thus we find both have equal degrees of freedom.

3 0
2 years ago
If George is 33 1/3% richer than Pete, than Pete is what percent poorer than George?
OleMash [197]

Answer:

25%

Step-by-step explanation:

George is 33\frac{1}{3}% (\frac{100}{3}%) richer than Pete. Let Pete's percentage of wealth be 100%.

Thus George percentage of wealth = 100% + \frac{100}{3}%

                                                           = \frac{400}{3}%

                                                           = 133\frac{1}{3}%

Pete's percent poorer than George can be determined by;

                                                           = (\frac{100}{3}) ÷ (\frac{400}{3} ) × 100

                                                           = (\frac{100}{3}) × \frac{3}{400} ×100

                                                           = 0.25 × 100

                                                           = 25%

Pete is 25% poorer than George.

3 0
2 years ago
A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t2 + 40t + 7.
KiRa [710]
-0.2s

You cannot have a negative amount of time. 
5 0
2 years ago
Read 2 more answers
What is a fraction that is equivalent to 0.997
Stels [109]
997/1000 hope this helps
5 0
2 years ago
Read 2 more answers
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