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barxatty [35]
2 years ago
10

1. Based on the information in the table, is the cost of the apples proportional to the weight of apples?

Mathematics
1 answer:
lina2011 [118]2 years ago
4 0

Answer:

  1. yes
  2. no

Step-by-step explanation:

When a number of similar calculations are required, a spreadsheet can reduce the tedium.

1. The price is a constant $1.88 per pound, so is proportional to the weight.

_____

2. The price is not proportional to the number of toppings.

__

The cost of the pizza is $8.99 plus $1.50 per topping. The base cost being non-zero ensures that the overall cost is not proportional to the number of toppings.

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ANSWER ASAP
Brums [2.3K]

Answer:

  • y = 2x + 3
  • y = -6x
  • y = -x + 2
  • y = 2x - 7

Step-by-step explanation:

<u>Slope-intercept form:</u>

  • y = mx + b

<em>Hint. if we have x = 0, then the y-coordinate is the same as b</em>

<u>Slope</u>

  • m = (y2 - y1)/(x2-x1)

33.

  • m = (9 -(-3))/(3 - (-3)) = 12/6 = 2
  • b = 3 as per table (0, 3)
  • y = 2x + 3

34.

  • m = (0-12)/(0 - (-2)) = -12/2 = -6
  • b = 0, as per table (0, 0)
  • y = -6x

35.

  • m = (2 - (-2))/(0 - 4) = 4/-4 = -1
  • b = 2, as per table (0, 2)
  • y = -x + 2

36.

  • m = (-5 - (-1))/ (1 -3) = -4/-2 = 2

Using point (3, -1)

  • -1 = 2*3 + b
  • b= -1 - 6= - 7
  • y = 2x - 7

8 0
2 years ago
Francis is at the state fair. A fair concession stand is selling funnel cakes for $3.50 and deep-fried Oreos for $2.00. Write an
VladimirAG [237]

The equation that models the number of funnel cakes and Oreos he can buy is 3.50x + 2.0y = 42

Data given;

  • Cost of cakes = $3.50
  • Cost of Oreos = $2.00
  • The total amount spent = $42.00
<h3>What is the Equation</h3>

To solve this problem, we just need to write out an equation to show how he can spend $42.00 in the fair on Oreos and Cakes.

Let x represent the cakes

Let y represent the Oreos

The equation is thus;

3.50x + 2.0y = 42.00

The equation that shows the number of Cakes and Oreos can by is

3.50x + 2.0y = 42

Learn more about equation here;

brainly.com/question/13729904

3 0
2 years ago
The dwarves of the Grey Mountains wish to conduct a survey of their pick-axes in order to construct a 99% confidence interval ab
Dmitry_Shevchenko [17]

Answer:

The minimum sample size needed is 125.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

For this problem, we have that:

\pi = 0.25

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

What minimum sample size would be necessary in order ensure a margin of error of 10 percentage points (or less) if they use the prior estimate that 25 percent of the pick-axes are in need of repair?

This minimum sample size is n.

n is found when M = 0.1

So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.1 = 2.575\sqrt{\frac{0.25*0.75}{n}}

0.1\sqrt{n} = 2.575{0.25*0.75}

\sqrt{n} = \frac{2.575{0.25*0.75}}{0.1}

(\sqrt{n})^{2} = (\frac{2.575{0.25*0.75}}{0.1})^{2}

n = 124.32

Rounding up

The minimum sample size needed is 125.

5 0
3 years ago
A simple random sample of 36 men from a normally distributed population results in a standard deviation of 10.1 beats per minute
Katyanochek1 [597]

Answer:

Step-by-step explanation:

Given that:

sample size n = 36

standard deviation = 10.1

level of significance ∝ = 0.10

The null hypothesis and the alternative hypothesis can be computed as follows:

H_0 : \sigma = 10

H_1 : \sigma \neq 10

The test statistics can be computed as follows:

X^2 = \dfrac{(n -1)s^2 }{\sigma ^2}

X^2 = \dfrac{(36 -1)10.1^2 }{10^2}

X^2 = \dfrac{(35)102.01 }{100}

X^2 = \dfrac{3570.35 }{100}

X^2 =35.704

degree of freedom = n - 1 = 36 - 1 = 35

Since this test is two tailed .

The P -value can be determined by using the EXCEL FUNCTION ( = 2 × CHIDIST(35.7035, 35)

P - value = 2 × 0.435163515

P - value = 0.8703      ( to four decimal places)

Decision Rule : To reject the null hypothesis if  P - value is less than the 0.10

Conclusion: We fail to reject null hypothesis ( accept null hypothesis) since p-value is greater than 0.10 and we conclude that there is sufficient claim that the normal range of pulse rates of adults given as 60 to 100 beats per minute resulted to a standard deviation of 10 beats per minute.

3 0
3 years ago
Help me pls i will make u a brainliest
omeli [17]

101.66 ÷ 4.42 = 23 square feet

8 0
3 years ago
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