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4 years ago

Please answer asap!!

Mathematics

1 answer:

alexandr1967 [171]4 years ago

4 0

Option A:

Slope of the line is $\frac{2}{3}$ .

Solution:

Given points are (1, 1) and (7, 5).

$x_1=1, y_1=1, x_2=7, y_2=5$

To find the slope of the line:

Slope of the line:

$$m=\frac{y_2-y_1}{x_2-x_1}$

$$m=\frac{5-1}{7-1}$

$$m=\frac{4}{6}$

$$m=\frac{2}{3}$

Hence slope of the line is $\frac{2}{3}$ .

Option A is the correct answer.

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Suppose that a computer chip company has just shipped computer chips to a computer company. Unfortunately, of the chips are def

Varvara68 [4.7K]

Answer:

(a) 0.0000245

(b) 0.000025

Step-by-step explanation:

The complete question is:

Suppose that a computer chip company has just shipped 10,000 computer chips to a computer company. Unfortunately, 50 of the chips are defective. (a) Compute the probability that two randomly selected chips are defective using conditional probability. (b) There are 50 defective chips out of 10,000 shipped. The probability that the first chip randomly selected is defective is 50 /10,000 = 0.005. Compute the probability that two randomly selected chips are defective under the assumption of independent events.

Solution:

(a)

In this case we need to compute the conditional probability of selecting two defective chips, i.e. the selection of the second defective chip is dependent on the first defective chip.

The probability of selecting the first defective chip is:

$P(1D)=\frac{50}{10000}=0.005$

Now there are 9999 chips left and 49 defective chips among them.

The probability of selecting the second defective chip is:

$P(2D)=\frac{49}{9999}=0.0049$

Compute the probability that two randomly selected chips are defective using conditional probability as follows:

P (Two defective chips) $=P(1D)\times P(2D)=0.005\times 0.0049=0.0000245$

Thus, the answer is 0.0000245.

(b)

Compute the probability that two randomly selected chips are defective under the assumption of independent events as follows:

The above statement implies that the selection was done with replacement.

The probability is:

P (Two defective chips) $=P(1D)\times P(2D)$

$=\frac{50}{10000}\times \frac{50}{10000}\\\\=0.005\times 0.005\\\\=0.000025$

Thus, the probability that two randomly selected chips are defective under the assumption of independent events is 0.000025.

6 0

3 years ago

27/64A bottled water company has designed a new cup for its dispenser. The cup will be a right circular cone with a three-inch r

tankabanditka [31]

Answer:

9.86 inches

Step-by-step explanation:

Given:

The cup will be a right circular cone with:-

Radius, r = 3 inches

Volume of cone = 93 cubic inches

Height of the cup, h = ?

Solution:

<u>By using :-</u>

<u /> $Volume\ of\ right\ circular\ cone=\frac{1}{3} \pi r^{2} h$

$93 =\frac{1}{3} \times\frac{22}{7} \times3\times3\times h\\ \\ 93=\frac{198}{21} h\\ \\ 93=9.43h$

By dividing both sides by 9.43

$\frac{93}{9.43} =\frac{9.43h}{9.43} \\ \\ 9.86\ inches=h$

Thus, the cup need to be 9.86 inches taller to hold 93 cubic inches of water.

6 0

4 years ago

SOMEONE HELP I’ll give brainliest I need this ASAP and I don’t understand it

Tamiku [17]

Answer:

the answer to#1 is 60 ft

6 0

3 years ago

Given triangle 'ABC' with a = 4, b = 11, and measurement of A = 41 Degrees , find the number of distinct solutions.

n200080 [17]

It should be A, since b=11> acosA

3 0

3 years ago

Based on the diagram shown, find θ to the nearest degree.

sattari [20]

Answer:

θ = 38°

Step-by-step explanation:

The lower right triangle is congruent to the upper left triangle, so we have θ and 20° being the two acute angles in the triangle. The law of sines tells you ...

sin(θ)/9 = sin(20°)/5

sin(θ) = (9/5)sin(20°)

θ = arcsin(9/5·sin(20°)) ≈ 38°

___

Another solution to the triangle is θ = 180° -38° = 142°. The diagram clearly shows θ as an acute angle, so we take this second solution to be extraneous.

8 0

3 years ago