180 red marbles to 145 blue marbles ratio

Mathematics

1 answer:

Ket [755]2 years ago

6 0

Answer:

36 : 29

Step-by-step explanation:

Require to simplify the ratio

180 : 145

Divide both parts by 5

= 36 : 29 ← in simplest form

Simplest form means that no other number but 1 will divide into the 2 parts of the ratio.

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In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a go

Licemer1 [7]

Answer: The interval is 0.9 ± 0.0259 and margin of error is 0.0259

Step-by-step explanation: Confidence interval for a proportion in one sample is the estimate of the proportion of a population. It is calculated following the next steps:

1) Find the proportion $p=\frac{x}{n}$ , in which x is the number of people with the desired condition. In our case, p=0.9;

2) Calculate margin of error, i.e.:

$z\sqrt{\frac{p(1-p)}{n}}$

z is z-score, which for a 95% confidence, equals 1.96;

Substituting with the data given:

$1.96(\sqrt{\frac{0.9(1-0.9)}{514}})$ = 0.0259

3) Write: p ± $z\sqrt{\frac{p(1-p)}{n}}$

In our case, the interval will be 0.9 ± 0.0259.

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7 0

3 years ago

Select the correct answer from each drop-down menu. In the figure, line segment AB is parallel to line segment CD. The measure o

victus00 [196]

<h3>Answer:</h3>

∠C = 40°

∠D = 75°

<h3>Step-by-step explanation:</h3>

AB ║ CD, so AD and BC are transversals. The angle pairs (A, D) and (B, C) are "alternate interior angles", hence congruent.

∠C = ∠B = 40°

∠D = ∠A = 75°