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Agata [3.3K]
3 years ago
11

What is the slope intercept form of the linear equation 4x + 2y = 24

Mathematics
2 answers:
Alika [10]3 years ago
8 0
The answer is
y=-2x+12
castortr0y [4]3 years ago
6 0
The answer is: y = -2x+12

4x+2y=24=

4x-4x+2y=24-4x=

2y=24-4x

Divide each piece by 2=

2y/2=24/2-4x/2

y=12-2x

But, slope intercept form is y=mx + b so you must put the second part in reverse, making the answer to the equation be y=-2x+12
(Don't forget the - on -2)
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1/15 * 7

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-1 1/3, 0.3, 1.2, 3/5,  3,  

Step-by-step explanation:

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2 years ago
A snowball has a radius of 7cm. What is the volume of the snowball?
BabaBlast [244]

Answer:

The volume is 1436.8in^2 .

Step-by-step explanation:

-To find the volume of a sphere, you need the formula:

V = \frac{4}{3} \pi r^3

-Use the radius for the formula:

V = \frac{4}{3} \pi 7^3

-Then, you solve:

V = \frac{4}{3} \pi 7^3

V = \frac{4}{3} × \pi × 7^3

V = \frac{4}{3} \pi × 343

V = \frac{1372}{3} \pi = 1436.755

-Round the answer to the nearest tenth:

V = 1436.8

So, therefore the volume is 1436.8in^2 .

7 0
3 years ago
1. The data given below includes data from 42 ​candies, and 7 of them are red. The company that makes the candy claims that 33​%
jeyben [28]

Answer:

The 95% confidence interval for true proportion of red candies is (5%, 27%).

The true proportion of red candies made by the company is different from 33%.

Step-by-step explanation:

The hypothesis to determine whether the claim made by the candy company is correct or not is:

<em>H</em>₀: The true proportion of red candies made by the company is 33%, i.e. <em>p</em> = 0.33.

<em>Hₐ</em>: The true proportion of red candies made by the company is different from 33%, i.e. <em>p</em> ≠ 0.33.

A (1 - <em>α</em>)% confidence interval can be constructed to check this claim.

The decision rule is:

If the confidence interval consists the null value then the null hypothesis will not be rejected. Otherwise it will be rejected.

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

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

The information provided is:

<em>n</em> = 42

<em>X</em> = number of red candies = 7

Compute the sample proportion of candies that are red as follows:

\hat p=\frac{X}{n}=\frac{7}{42}=0.167

The critical value of <em>z</em> for 95% confidence level is:

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

*Use a <em>z</em>-table for the critical value.

Compute the 95% confidence interval for true proportion of red candies as follows:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.167\pm 1.96\times \sqrt{\frac{0.167(1-0.167)}{42}}\\=0.16\pm0.1137\\=(0.0463, 0.2737)\\\approx(0.05, 0.27)

The 95% confidence interval for true proportion of red candies is (5%, 27%).

The confidence interval does not contains the null value.

Thus, the null hypothesis will be rejected at 5% level of significance.

Conclusion:

The true proportion of red candies made by the company is different from 33%.

7 0
3 years ago
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