All categories

3 years ago

PLZ CHECK MY ANSWER. Round your answer to the nearest tenth.

Mathematics

1 answer:

Umnica [9.8K]3 years ago

4 0

Answer:

D. $70.34 cm^2$

Step-by-step explanation:

Area of sector of a circle is given as θ/360*πr²

Where,

r = radius = 12 cm

θ = 56°

Use 3.14 as π

Plug in the values into the formula and solve

$area = \frac{56}{360}*3.14*12^2$

$area = 70.34$

Area of the sector ABC = $70.34 cm^2$

The answer is D

You might be interested in

Write the product in its simplest form c^7×(-3c)

sveticcg [70]

Answer:

-3c^8

Step-by-step explanation:

3 0

2 years ago

g Suppose a factory production line uses 3 machines, A, B, and C for making bolts. The total output from the line is distributed

Vladimir [108]

Answer:

The probability that it came from A, given that is defective is 0.362.

Step-by-step explanation:

Define the events:

A: The element comes from A.

B: The element comes from B.

C: The element comes from C.

D: The elemens is defective.

We are given that P(A) = 0.25, P(B) = 0.35, P(C) = 0.4. Recall that since the element comes from only one of the machines, if an element is defective, it comes either from A, B or C. Using the probability axioms, we can calculate that

$P(D) = P(A\cap D) + P(B\cap D) + P(C\cap D)$

Recall that given events E,F the conditional probability of E given F is defined as

$P(E|F) = \frac{P(E\cap F)}{P(F)}$ , from where we deduce that

$P(E\cap F) = P(E|F)P(F)$ .

We are given that given that the element is from A, the probability of being defective is 5%. That is P(D|A) =0.05. Using the previous analysis we get that

$P(D) = P(A)P(D|A)+P(B) P(D|B) + P(C)P(D|C) = 0.05\cdot 0.25+0.04\cdot 0.35+0.02\cdot 0.4 = 0.0345$

We are told to calculate P(A|D), then using the formulas we have

$P(A|D) = \frac{P(A\cap D)}{P(D)}= \frac{P(D|A)P(A)}{P(D)}= \frac{0.05\cdot 0.25}{0.0345}= 0.36231884$

3 0

2 years ago

If log(16)=s, what is the value of 2/3 log(6400) - 1/3 log(1600) in terms of s?

eduard

The value of $\dfrac{ 2}{3} log(6400) - \dfrac{1}{3} log(1600)$ in terms of s will be

$\dfrac{2}{3}(400s)-\dfrac{1}{3}(1000s)$

<h3>What is Logrithm?</h3>

A quantity representing the power to which a fixed number (the base) must be raised to produce a given number.

Here we have the expression:-

$\dfrac{ 2}{3} log(6400) - \dfrac{1}{3} log(1600)$

So in terms of s the expression will become:-

$\dfrac{2}{3}(400s)-\dfrac{1}{3}(1000s)$

To know more about logarithm follow

brainly.com/question/25710806

#SPJ1

8 0

2 years ago

Based on the data set shown, which of the following is a true statement? -1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3

Kaylis [27]

The mode of this data set shown would be 1 since it occurs the most often. The answer is that the mode of this set would be (1) since it shows up the most.

3 0

3 years ago

PLEASE HELP !!! - after tip you gave a total of $321.75. If the original price of the meal was $300, what percent tip was applie

yan [13]

Answer: 7.25%

Step-by-step explanation:

There are a few ways to do this, but the easiest might be to set up a proportion:

321.75/300 = x percent/100 percent

Now cross multiply;

300x = 321.75(100) = 32,175

Divide both sides by 300 to solve for x:

300x/300 = 32,175/300

x = 107.25 This means that the tip was 7.25% on top of the $300 meal.

8 0

3 years ago

Read 2 more answers