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pychu [463]
3 years ago
5

Julia finds that she can mail a 10 pound package for $5.10 and a 15 pound package for $8.85.What is the constanrt of proportiona

lity?
Mathematics
1 answer:
choli [55]3 years ago
8 0

Answer:

0.75

Step-by-step explanation:

Using the equation

y=mx

where y is the cost, m is constant and x is variable representing packages

8.85=15x

5.1=10x

Subtracting equation 2 from 1 then

5x=3.75

x=3.75/5=0.75

x=0.75

The constant of proportionality is 0.75

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The highest temperature recorded in June in San Antonio was 109°F. The lowest temperature was 64°F. Which integer best represent
Ede4ka [16]
64 degrease faranheight is  the lowest
5 0
3 years ago
Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to f
STALIN [3.7K]

Answer:  b) 84

Step-by-step explanation:

Let p be the prior estimate of the required proportion.

As per given , we have

p =0.5   (The probability of getting heads on a fair coin is 0.5)

Significance level : \alpha: 1-0.90=0.10\\

Critical z-value (using z-value table ) : z_{\alpha/2}=1.645

Confidence interval width : w= 0.18

Thus , the margin of error : E=\dfrac{w}{2}=0.09

Formula to find the sample size ( if prior estimate of proportion is known.):-

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2

Substitute the values , we get

n=0.5(1-0.5)(\dfrac{1.645}{0.09})^2

Simplify ,

n=83.5192901235\approx84  [Round of to the next whole number.]

Hence, the number of times we would have to flip the coin =<u>84</u>

hence, the correct answer is b) 84

8 0
3 years ago
Someone please help!!
Nastasia [14]
1.46 is what google is saying just convert that to a fraction
4 0
3 years ago
Which best describes the strength of the model? a weak positive correlation a strong positive correlation a weak negative correl
Akimi4 [234]

Correlation coefficient helps us to know how strong is the relation between two variables. The strength of the model is a strong positive correlation.

<h3>What is the correlation coefficient?</h3>

The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.

  • 1 indicates a strong positive relationship.
  • -1 indicates a strong negative relationship.
  • A result of zero indicates no relationship at all, therefore, independent variable.

Hence, the strength of the model is a strong positive correlation.

Learn more about Correlation Coefficients:

brainly.com/question/15353989

3 0
2 years ago
Tony buys a pair of running shoes f 80$ he pays 9%sales tax how much does the pair of shoes cost in total?
Sindrei [870]

Answer:

$87.20

Step-by-step explanation:

5 0
3 years ago
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