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Papessa [141]
2 years ago
5

Use the slope formula to calculate the slope of a line that passes through points (2, 5) and (3, 8)

Mathematics
1 answer:
Law Incorporation [45]2 years ago
4 0

Answer:

m=3

Step-by-step explanation:

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Lesson Posttest
stepladder [879]

Answer:

1

Step-by-step explanation:

Probability = number of fruit type/total number of fruit. Total number of fruit = 5 + 9 + 5 = 19.

The probability of drawing an apple is P(apple) = number of apples/total number of fruit = 5/19.

The probability of drawing a peach is P(peach) = number of peaches/total number of fruit = 9/19

The probability of drawing an apple is P(orange) = number of oranges/total number of fruit = 5/19

The probability of drawing either an apple, peach or orange at the first draw of fruit from the bag is

P(apple or peach or orange) =  P(apple) + P(peach) + P(orange)

                                               = 5/19 + 9/19 + 5/19

                                               = (5 + 9 + 5)/19

                                               = 19/19

                                               = 1

3 0
3 years ago
In a simple random sample of 14001400 young​ people, 9090​% had earned a high school diploma. Complete parts a through d below.
ratelena [41]

Answer:

(a) The standard error is 0.0080.

(b) The margin of error is 1.6%.

(c) The 95% confidence interval for the percentage of all young people who earned a high school diploma is (88.4%, 91.6%).

(d) The percentage of young people who earn high school diplomas has ​increased.

Step-by-step explanation:

Let <em>p</em> = proportion of young people who had earned a high school diploma.

A sample of <em>n</em> = 1400 young people are selected.

The sample proportion of young people who had earned a high school diploma is:

\hat p=0.90

(a)

The standard error for the estimate of the percentage of all young people who earned a high school​ diploma is given by:

SE_{\hat p}=\sqrt{\frac{\hat p(1-\hat p)}{n}}

Compute the standard error value as follows:

SE_{\hat p}=\sqrt{\frac{\hat p(1-\hat p)}{n}}

       =\sqrt{\frac{0.90(1-0.90)}{1400}}\\

       =0.008

Thus, the standard error for the estimate of the percentage of all young people who earned a high school​ diploma is 0.0080.

(b)

The margin of error for (1 - <em>α</em>)% confidence interval for population proportion is:

MOE=z_{\alpha/2}\times SE_{\hat p}

Compute the critical value of <em>z</em> for 95% confidence level as follows:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the margin of error as follows:

MOE=z_{\alpha/2}\times SE_{\hat p}

          =1.96\times 0.0080\\=0.01568\\\approx1.6\%

Thus, the margin of error is 1.6%.

(c)

Compute the 95% confidence interval for population proportion as follows:

CI=\hat p\pm MOE\\=0.90\pm 0.016\\=(0.884, 0.916)\\\approx (88.4\%,\ 91.6\%)

Thus, the 95% confidence interval for the percentage of all young people who earned a high school diploma is (88.4%, 91.6%).

(d)

To test whether the percentage of young people who earn high school diplomas has​ increased, the hypothesis is defined as:

<em>H₀</em>: The percentage of young people who earn high school diplomas has not​ increased, i.e. <em>p</em> = 0.80.

<em>Hₐ</em>: The percentage of young people who earn high school diplomas has not​ increased, i.e. <em>p</em> > 0.80.

Decision rule:

If the 95% confidence interval for proportions consists the null value, i.e. 0.80, then the null hypothesis will not be rejected and vice-versa.

The 95% confidence interval for the percentage of all young people who earned a high school diploma is (88.4%, 91.6%).

The confidence interval does not consist the null value of <em>p</em>, i.e. 0.80.

Thus, the null hypothesis is rejected.

Hence, it can be concluded that the percentage of young people who earn high school diplomas has ​increased.

8 0
3 years ago
THE VOLUME OF A SPHERE IS 38808cm^3. find the height of the cone
Mars2501 [29]

I am not 100% positive but I think it is 4117.66

8 0
3 years ago
Choose the fraction that is greater than 3/18٫is less than 50/100٫and has 9 as its denominator
erik [133]

Answer:

4/9

Step-by-step explanation:

  • The denominator is the bottom value of a fraction, therefore we can discount 9/2
  • 1/9 = 2/18.  2/18 is smaller than 3/18 so we can discount 1/9
  • 50/100 = 0.5
    5/9 = 0.55555...
    0.55555... is greatest than 0.5, therefore we can discount 5/9
  • Answer is 4/9

8 0
2 years ago
F(x)= 2x + 4 <br> g(x) 3x^2 - 1 <br><br> find f(x) • g(x)<br><br> show work pls:) appreciate it
Irina-Kira [14]

Answer:

I hope this will help you

7 0
2 years ago
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