Please help me I can fail math

The Golden Years Senior Citizen Center uses a phone tree to announce when the center will be closed for poor weather. When each

stira [4]

Answer:

50 Minutes.

Step-by-step explanation:

The function c approximates the total number of calls made after m minutes since the start of the phone tree.

$c(m)=\frac{2}{3}\times (3^{\frac{m}{10}}-1)$

We need to find the number of minutes after which the total number of calls will 363.

Substitute c(m)=363 in the given function.

$363=\frac{2}{3}\times (3^{\frac{m}{10}}-1)$

Multiply 3/2 both sides.

$363\times \frac{3}{2}=(3^{\frac{m}{10}}-1)$

$242=3^{\frac{m}{10}}-1$

Add 1 on both sides.

$243=3^{\frac{m}{10}}$

$3^5=3^{\frac{m}{10}}$

On comparing both sides we get

$5=\frac{m}{10}$

Multiply both sides by 10.

$50=m$

Therefore, the total number of calls will 363 after 50 minutes since the start of the phone tree.

7 0

3 years ago

Read 2 more answers

Triangle abc is located on a coordinate plane angle c is at (1,2) the triangle is rotated counter clockwise 90° about the origin

sertanlavr [38]

After rotating a point C 90° counterclockwise about the origin the coordinates of C' would be (-2, 1)

In this question, we have been given a triangle ABC.

A point C is at (1, 2)

The triangle is rotated counter clockwise 90° about the origin.

We need to find the coordinates of C' which is image of vertex C after rotation.

We know that, if we rotate a point 90° counterclockwise about the origin a point (x, y) becomes (-y, x).

Here C(1, 2) is rotated 90 degrees counterclockwise about the origin.

So, the coordinates of C' would be,

C' = (-2, 1)

Therefore, after rotating a point C 90° counterclockwise about the origin the coordinates of C' are (-2, 1)

Learn more about the rotation here:

brainly.com/question/2763408

#SPJ1

6 0

1 year ago

There are 210210210 students in a twelfth grade high school class. 909090 of these students have at least one sister and 1051051

BlackZzzverrR [31]

Answer:

(1) The value of P (A) is 0.4286.

(2) The value of P (B) is 0.50.

(3) The value of P (A ∩ B) is 0.2143.

(4) The the value of P (B|A) is 0.50.

(5) The events A and B are independent.

Step-by-step explanation:

The events are defined as follows:

A = a student in the class has a sister

B = a student has a brother

The information provided is:

N = 210

n (A) = 90

n (B) = 105

n (A ∩ B) = 45

The probability of an event E is the ratio of the favorable number of outcomes to the total number of outcomes.

$P(E)=\frac{n(E)}{N}$

The conditional probability of an event X provided that another event Y has already occurred is:

$P(X|Y)=\frac{P(A\cap Y)}{P(Y)}$

If the events X and Y are independent then,

$P(X|Y)=P(X)$

(1)

Compute the probability of event A as follows:

$P(A)=\frac{n(A)}{N}\\\\=\frac{90}{210}\\\\=0.4286$

The value of P (A) is 0.4286.

(2)

Compute the probability of event B as follows:

$P(B)=\frac{n(B)}{N}\\\\=\frac{105}{210}\\\\=0.50$

The value of P (B) is 0.50.

(3)

Compute the probability of event A and B as follows:

$P(A\cap B)=\frac{n(A\cap B)}{N}\\\\=\frac{45}{210}\\\\=0.2143$

The value of P (A ∩ B) is 0.2143.

(4)

Compute the probability of B given A as follows:

$P(B|A)=\frac{P(A\cap B)}{P(A)}\\\\=\frac{0.2143}{0.4286}\\\\=0.50$

The the value of P (B|A) is 0.50.

(5)

The value of P (B|A) = 0.50 = P (B).

Thus, the events A and B are independent.

6 0

3 years ago

A 4 pound bag of sugar contains 454 one teaspoon servings and costs $3.49. A batch of muffins uses 3/4 cup of sugar. How many ba

nika2105 [10]

I don't know the answer

6 0

3 years ago

What is the area of this circle?

Ilia_Sergeevich [38]

Answer:

12.57

Step-by-step explanation:

Not rounded it would be 12.56637

If you are just replacing pi with 3.14. than your answer would be exactly 12.56.

4 0

2 years ago

Please help me I can fail math​

Please help me I can fail math