A hunter shot 7 ducks. The hunter's dog recovered 5/7 of the ducks. How many ducks were recover

In the case of an equilateral triangle ABC, each angle measures 60 degrees, as the total angle sum in any triangle is 180 degrees, and dividing that by 3 yields 60. Setting this equal to 3x-12, we have 60 = 3x - 12. After adding 12 to both sides, we get 72 = 3x, and dividing 72 by 3 gives us x = 24.66! I hope this clarifies things for you!

Answer:

There are 369 students who enrolled in either calculus or discrete mathematics.

Step-by-step explanation:

I'll create a Venn diagram to illustrate these figures.

Let’s define:

A represents the count of students who completed calculus.

B stands for those who took discrete mathematics.

We have the following:

Here, a denotes the students who studied calculus exclusively, while represents those who took both subjects.

Using the same reasoning:

There are 188 students taking both calculus and discrete mathematics.

This implies that

A total of 212 students studied discrete mathematics.

<pBased on this,

345 students have attended a calculus course.

<pSo, from this information,

We find the total number of students who took either calculus or discrete mathematics.

A total of 369 students participated in either calculus or discrete mathematics.

The cake board’s circumference measures 35π cm. Initially, noting the cake's diameter of 30 cm, the board's diameter is established as an additional 5 cm, leading to circumference determination by applying the formula, yielding 35π cm.

Answer:

MOM

Step-by-step explanation:

Answer:

At a confidence level of 90%, the margin of error is calculated to be 0.5133 grams.

Step-by-step explanation:

The formula for margin of error (E) is: (critical value × sample standard deviation) ÷ sqrt(n)

The sample standard deviation is 1.5 grams.

A 90% confidence level translates to 0.9.

Significance level is determined as 1 - C, which equals 1 - 0.9 resulting in 0.1 or 10%.

The sample size (n) is 25.

Degrees of freedom are calculated as n - 1, which is 25 - 1 equaling 24.

The critical value (t) for 24 degrees of freedom at a significance level of 10% is found to be 1.711.

Using these values, we calculate: E = (1.711 × 1.5) ÷ sqrt(25) = 2.5665 ÷ 5 = 0.5133 grams.