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Neko [114]
3 years ago
10

Eight times the reciprocal of a number equals 4 times the reciprocal of 8. find the number

Mathematics
1 answer:
Burka [1]3 years ago
4 0
8*(1/x) = 4*(1/8)
8/x = 4/8
64 = 4x
x = 16
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Given the numbers c = –3 and d = 4, which statement is true? A. |–c| = 3 and |–d| = –4 B. |–c| = 3 and –|d| = –4 C. –|c| = –4 an
kirill [66]

<u>Answer:</u>

D. |–c| = 3 and –|d| = 4

<u>Step-by-step explanation:</u>

We are given these values of two variables and asked which of the statements in the given options is true:

c = –3 and d = 4

In mathematics, we know that the absolute value or modulus of a real number x is the non-negative value of x despite of whatever sign it has, positive or negative.

Therefore, the modulus of c  |–c| = 3 and modulus of  –|d| = 4 so option D is the correct one.

5 0
4 years ago
Suppose that 40 percent of the drivers stopped at State Police checkpoints in Storrs on Spring Weekend show evidence of driving
lesantik [10]

Answer:

a) 0.778

b) 0.9222

c) 0.6826

d) 0.3174

e) 2 drivers

Step-by-step explanation:

Given:

Sample size, n = 5

P = 40% = 0.4

a) Probability that none of the drivers shows evidence of intoxication.

P(x=0) = ^nC_x P^x (1-P)^n^-^x

P(x=0) = ^5C_0  (0.4)^0 (1-0.4)^5^-^0

P(x=0) = ^5C_0 (0.4)^0 (0.60)^5

P(x=0) = 0.778

b) Probability that at least one of the drivers shows evidence of intoxication would be:

P(X ≥ 1) = 1 - P(X < 1)

= 1 - P(X = 0)

= 1 - ^5C_0 (0.4)^0 * (0.6)^5

= 1 - 0.0778

= 0.9222

c) The probability that at most two of the drivers show evidence of intoxication.

P(x≤2) = P(X = 0) + P(X = 1) + P(X = 2)

^5C_0  (0.4)^0  (0.6)^5 + ^5C_1  (0.4)^1  (0.6)^4 + ^5C_2  (0.4)^2  (0.6)^3

= 0.6826

d) Probability that more than two of the drivers show evidence of intoxication.

P(x>2) = 1 - P(X ≤ 2)

= 1 - [^5C_0  (0.4)^0  (0.6)^5 + ^5C_1  (0.4)^1  (0.6)^4 + ^5C_2 * (0.4)^2  (0.6)^3]

= 1 - 0.6826

= 0.3174

e) Expected number of intoxicated drivers.

To find this, use:

Sample size multiplied by sample proportion

n * p

= 5 * 0.40

= 2

Expected number of intoxicated drivers would be 2

7 0
3 years ago
I NEED ANSWER ASAP/ WILL GET 20 PTS
ki77a [65]

Answer: A. (-8,-3)

Step-by-step explanation:

Original formula is f(x)=|x-h|+k, the vertex is (h,k), so a positive h in the formula would turn out negative in the vertex.

4 0
3 years ago
Please help me if you know answer its okay but if able to could please explain step by step.
Masja [62]

Answer: The answer would be c


Step-by-step explanation:

Step 1: Solve for b

5a+b=7

b=-5a+7

your slope would be -5a

Step 2: Make it perpendicular

The Perpendicular is gonna be the opposite

So it would be b= 1/5+7

The slopes has to be different and you don't have to worry about the "+7"

Reply if you have any questions


8 0
3 years ago
What is the volume of the prism? Enter your answer in the box as a mixed number in simplest form.​
OLEGan [10]

Answer:

67.5

Step-by-step explanation:

4.5x6x2.5=67.5

4 0
3 years ago
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