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mina [271]
2 years ago
5

Write an expression to model the

Mathematics
1 answer:
lilavasa [31]2 years ago
3 0

Answer: $13.50x + $75 =

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A student made a list of questions to gather data about a local movie theater. She will ask a sample of her classmates to answer
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Answer: A D E

Step-by-step explanation:

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How do you do 137 ÷ 7 in a area model
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Hey,

If you were to divide 137/7 it would be it would be 19 or if you wont a decimal it would be 19.5

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Many high school students take the AP tests in different subject areas. In 2007, of the 144,796 students who took the biology ex
Nataly [62]

Answer:

(0.582-0.485) - 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.0942  

(0.582-0.485) + 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.09978  

And the 90% confidence interval would be given (0.0942;0.09978).  

We are confident at 90% that the difference between the two proportions is between 0.0942 \leq p_A -p_B \leq 0.09978

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

p_A represent the real population proportion female for Biology

\hat p_A =\frac{84199}{144796}=0.582 represent the estimated proportion female for biology

n_A=144796 is the sample size for A

p_B represent the real population proportion female for calculus AB

\hat p_B =\frac{102598}{211693}=0.485 represent the estimated proportion female for Calculus AB

n_B=211693 is the sample size required for B

z represent the critical value for the margin of error  

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})  

The confidence interval for the difference of two proportions would be given by this formula  

(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}  

For the 90% confidence interval the value of \alpha=1-0.90=0.1 and \alpha/2=0.05, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=1.64  

And replacing into the confidence interval formula we got:  

(0.582-0.485) - 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.0942  

(0.582-0.485) + 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.09978  

And the 90% confidence interval would be given (0.0942;0.09978).  

We are confident at 90% that the difference between the two proportions is between 0.0942 \leq p_A -p_B \leq 0.09978

5 0
3 years ago
Salomon tracks the weight of his new puppy every 2 weeks. She weighs 10 lbs the
Gekata [30.6K]

Equation (B) "y = 3x + 10" represents the growth of the puppy.

<h3>What are equations?</h3>
  • An equation is a mathematical formula where the "equal to" sign appears between two expressions having the same value.
  • Like 3x plus 5 equals 15, for example.
  • Different types of equations exist, such as linear, quadratic, cubic, and others.
  • The three primary forms of linear equations are the slope-intercept form, standard form, and point-slope form.

So, the equation that represents the situation:

  • The weight increase is: (10, 13, 16, 19, 22, 25)
  • We can observe that every time, there is a rise of 3lbs of weight.
  • Now, let 10 be a constant as the weight is starting from 10 lbs.
  • And 'x' be the number of time Salomon tracks the weight.

Then:

  • y = 3x + 10

For example, Salomon checks the weight for the 6th time then:

  • y = 3x + 10
  • y = 3(5) + 10
  • y = 15 + 10
  • y = 25

So, the equation is correct.

Therefore, equation (B) "y = 3x + 10" represents the growth of the puppy.

Know more about equations here:

brainly.com/question/28937794

#SPJ13

The correct question is given below:
Salomon tracks the weight of his new puppy every 2 weeks. She weighs 10 lbs the day he brings her home. His list for her first 6 "weighs" is as follows: (10, 13, 16, 19, 22, 25}

Which equation represents the growth of the puppy? Select one:

A. y = x + 3

B. y = 3x + 10

C. y = 10x + 3

D. y = x + 10

8 0
9 months ago
Which expression can be used to find the volume
nordsb [41]

Answer:

Step-by-step explanation:

8 0
2 years ago
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