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lapo4ka [179]
3 years ago
13

A circle has a radius of 3 units. What is the area of the circle? Round to the nearest hundredth. Use 3.14 for pi.

Mathematics
1 answer:
Troyanec [42]3 years ago
5 0

Answer:

Step-by-step explanation:

Ac=3.14*r^2

Ac=9*3.14=28.27

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There are 37 children in the classroom, each student will get 48 pencils.How many pencils will the teacher have to give out?
givi [52]

Answer:

1,776

Step-by-step explanation:

1. There are <u>37</u> children in the classroom

2. Each student will get <u>48</u> pencils

3. The teacher wants to give 48 pencils evenly to 37 children

4. 48 x 37 = <u>1,776</u>

A: The teacher will have to give out <u>1,776</u> pencils.

6 0
2 years ago
A well-mixed cookie dough will produce cookies with a mean of 6 chocolate chips apiece. What is the probability of getting a coo
posledela

The probability of getting a cookie with no more than 3 chips is 0.714.

<h3>What is probability?</h3>

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

Well-mixed cookie dough will produce cookies with a mean of 6 chocolate chips apiece.

Using poison ratio:

\rm P (X = k) = \dfrac{\lambda^k e^{-\lambda}}{k!}

λ is the mean number of chocolate chips in a piece

\rm P (X = 6) = \dfrac{6^k e^{-6}}{k!}

P(X ≥ 5) = 1 - P(X < 5)

P(X ≥ 5) = 1 - P(X = 0) + P(X = 1)  + P(X = 2)  + P(X = 3) + P(X = 4)  

\rm P(X \geq  5)  =  1-[\dfrac{6^0 e^{-6}}{0!}+\dfrac{6^1 e^{-6}}{1!}+\dfrac{6^2 e^{-6}}{2!}+\dfrac{6^3 e^{-6}}{3!}+\dfrac{6^4 e^{-6}}{4!}]

After solving;

P(X ≥ 5) = 0.714

Thus, the probability of getting a cookie with no more than 3 chips is 0.714.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

6 0
2 years ago
Which is a characteristic of the line that passes through the points (6, 10) and (12, 7)?
mihalych1998 [28]

Answer:

Step-by-step explanation:

The general formula of the linear equation is:

y = mx + c 

where m is the slope and c is the y-intercept

1- getting the slope:

We are given the two points:

(6,10) representing (x1 , y1)

(12,7) representing (x2 , y2)

The slope of the line will be calculated as follows:

m = (y2-y1) / (x2-x1) = (7-10) / (12-6) = -3/6 = -0.5

The equation of the line now becomes:

y = -0.5x + c

2- getting the value of the y-intercept:

To get the value of the y-intercept (c), we will use any of the given points, substitute in the equation of the line and solve for c. I will use the point (6,10) as follows:

y = -0.5x + c

10 = -0.5(6) + c

10 = -3 + c

c = 13

Based on the above, the equation of the line would be:

y = -0.5x + 13

Hope this helps :)

7 0
2 years ago
Read 2 more answers
Before polishing, a steel plate was 2.342 inches thick. After polishing, it was 2.087 inches thick. How much was removed in poli
myrzilka [38]

Thickness of the plate before polishing = 2.342
Thickness of the plate after polishing. = 2.087
How much was removed = 2.342- 2.087 = 0.255
Hence , the answer 0.255 which is option B

5 0
3 years ago
Read 2 more answers
Nathaniel bought headphones online for $22. He used a coupon code to get a 40% discount. The website also applied a 10% processi
Tatiana [17]

Answer:

8.80 if it's the 40°/.

2.20 if it's the 10°/. processing fee

13.20 for how much he paid

8 0
2 years ago
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