Michael started a savings account with $300. After 4 weeks, he had $350 dollars. And after 8 weeks, he had $400. What is the rat

Let x represent the number of cans of fruit produced, which is 24 per minute. Let y denote the number of cans of vegetables produced, which is 64 per minute. Let z be the total number of cans produced per minute, and let t be the time in minutes. The equation is given by z = (x + y)t. Thus, z = (24 + 64)t, simplifying to z = 88t, which represents the required equation. Knowing that z equals 384, we can solve for t: 384 = 88t, resulting in t = 4.36 minutes.

Answer:

c = 13d

Step-by-step explanation:

We begin with:

4d=1/3(c-d)

Expanding this gives:

4d = 1/3c - 1/3d

Adding 1/3d to each side results in:

4d + 1/3d = 1/3c

Combining 4d and 1/3d yields:

12d+d/3 = 1/3c

Then, we simplify to get:

13/3d = 1/3c

To isolate c, we rearrange:

c = 13/3d ÷ 1/3

Which further simplifies to:

c = 13/3d × 3/1

Thus, the final result is:

c = 13d

Answer:

The sample proportion shows a statistically significant divergence from 50%

Step-by-step explanation:

Null hypothesis: The sample proportion equals 50%

Alternative hypothesis: The sample proportion does not equal 50%

z = (p' - p) ÷ sqrt[p(1 - p) ÷ n]

p' is the sample proportion = 289/400 = 0.7225

p is the population proportion = 50% = 0.5

n is the number of students surveyed = 400

z = (0.7225 - 0.5) ÷ sqrt[0.5(1 - 0.5) ÷ 400] = 0.2225 ÷ 0.025 = 8.9

The analysis is two-tailed. At a significance level of 0.01, the critical value is 2.576. The acceptance region for the null hypothesis is between -2.576 and 2.576.

Conclusion:

Reject the null hypothesis since the calculated z-score of 8.9 is beyond the bounds established by the critical values of -2.576 and 2.576.

There is compelling evidence to support the assertion that the sample proportion signifies a meaningful difference from 50%.

Response:

The price for 0.76 pounds of gum balls amounts to $2.6448

For 1.5 pounds of sour patch kids, the cost is $5.985

Step-by-step breakdown:

Refer to the provided data.

Nicholas measures a few gum balls into his bag, discovering a total of 0.76 pounds. The price for 1 pound of gum balls is $3.48

Expressed mathematically, this is:

1 pound of gum balls = $3.48

Now, we multiply both sides by 0.76

1×0.76 pounds of gum balls = $3.48×0.76

Thus, 0.76 pounds of gum balls costs $2.6448

Nicholas decides to purchase 1.5 pounds of sour patch kids at $3.99 per poundThis can be represented as:

1 pound sour patch kids = $3.99

We multiply both sides by 1.5

1×1.5 pounds sour patch kids = $3.99×1.5

This leads to a total of 1.5 pounds of sour patch kids costing $5.985