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garik1379 [7]
3 years ago
11

Identify the angle relationship, then solve for x*

Mathematics
1 answer:
goblinko [34]3 years ago
3 0

Answer:

14°

Step-by-step explanation:

(7x-1)°+(6x-1)°=180°(sum of angles in a straight line/being linear pair)

or,7x-1°+6x-1°=180°

or,13x-2°=180°

or,13x=182°

or,x=182°/13

or,x=14°

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Which set of coefficients of the terms in the Expansion of the binomial (x+y)^3 is correct?
lora16 [44]
A is correct.

Why? After opening the brackets we can see the equation as x^{3} + 3x^{2}y + 3y^{2}x + y^{3}
3 0
3 years ago
Write the word sentence as an inequality<br> A number y divided by 6 is no more than 2
Sedbober [7]

Answer:

Y/6 <_ 2

Step-by-step explanation:

(Less than it equal to sign)

8 0
3 years ago
The amount of time a passenger waits at an airport check-in counter is random variable with mean 10 minutes and standard deviati
Stolb23 [73]

Answer:

(a) less than 10 minutes

= 0.5

(b) between 5 and 10 minutes

= 0.5

Step-by-step explanation:

We solve the above question using z score formula. We given a random number of samples, z score formula :

z-score is z = (x-μ)/ Standard error where

x is the raw score

μ is the population mean

Standard error : σ/√n

σ is the population standard deviation

n = number of samples

(a) less than 10 minutes

x = 10 μ = 10, σ = 2 n = 50

z = 10 - 10/2/√50

z = 0 / 0.2828427125

z = 0

Using the z table to find the probability

P(z ≤ 0) = P(z < 0) = P(x = 10)

= 0.5

Therefore, the probability that the average waiting time waiting in line for this sample is less than 10 minutes = 0.5

(b) between 5 and 10 minutes

i) For 5 minutes

x = 5 μ = 10, σ = 2 n = 50

z = 5 - 10/2/√50

z = -5 / 0.2828427125

= -17.67767

P-value from Z-Table:

P(x<5) = 0

Using the z table to find the probability

P(z ≤ 0) = P(z = -17.67767) = P(x = 5)

= 0

ii) For 10 minutes

x = 10 μ = 10, σ = 2 n = 50

z = 10 - 10/2/√50

z = 0 / 0.2828427125

z = 0

Using the z table to find the probability

P(z ≤ 0) = P(z < 0) = P(x = 10)

= 0.5

Hence, the probability that the average waiting time waiting in line for this sample is between 5 and 10 minutes is

P(x = 10) - P(x = 5)

= 0.5 - 0

= 0.5

3 0
3 years ago
A shoreline observation post is located on a cliff such that the observer is 280 feet above sea level. The observer spots a ship
morpeh [17]

Answer:

Step-by-step explanation:

a) D/280 = tan(90 - 6)

   D = 280tan84 = 2,664 ft

b) D/280 = tan(90 - 16)

   D = 280tan74 = 976 ft

ship speed = (2664 - 976) / 43 = 39.2 ft/s

4 0
3 years ago
What is 9-(-5) please help me​
elena-14-01-66 [18.8K]

9-(-5)=

9 + 5 (because - - = +)

14

thus 9-(-5) = 14

4 0
3 years ago
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