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3 years ago

Fraction that less than 5/6 and has a denominator of 8

1 answer:

3 0

A fraction that is less than 5/6 and has a denominator of 8 would be 4/8 because if you compare 4/8 and 5/6 4/8 is less than 5/6. (to compare this two fractions you need to make them have the same denominator so they would end up been 4/8=12/24
5/6=20/24
And 12/24 is smaller than 20/24
(Besides 4/8 is half and 5/6 is more than half

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X - 10 greater than or equal to -2

mojhsa [17]

X - 10 >= -2

x will be greater than or equal to 8

5 0

3 years ago

A department store buys 100 shirts at a cost of $700 and sells them at a selling price of $10 each. Find the percent markup.

Serjik [45]

Answer:

42.8%

Step-by-step explanation:

Step one:

given data

A department store buys 100 shirts at a cost of $700

let us find the cost of 1 shirt

cost of 1 shirt= 700/100= $7 per shirt

The cost price per shirt = $7

We are given that the selling price = $10 per shirt

Step two:

The percent markup can be found as

percent markup= selling-cost price/cost price*100

percent markup= 10-7/10*100

percent markup= 3/7*100

percent markup= 0.428*100

percent markup= 42.8%

7 0

3 years ago

b) What is the sum of the exterior angles of the equilateral triangle ∠M + ∠R + ∠X? Explain your reasoning. (2 points)

kykrilka [37]

120 degrees is anwser because 180-60 is 120 you know the angles of triangle are 60 because it is an equateral triangle

3 0

3 years ago

Write the slope-intercept form of the equation of the line through the given point with the given slope. through: (3,1). slope=

ikadub [295]

Answer:

y = 4/3x - 3

Step-by-step explanation:

Use the slope intercept equation, y = mx + b, where m is the slope and b is the y intercept:

Plug in the point given and the slope to find b:

y = mx + b

1 = 4/3(3) + b

1 = 4 + b

-3 = b

Then, plug this and the slope into the equation:

y = 4/3x - 3 will be the equation

7 0

3 years ago

According to a study done by a university student, the probability a randomly selected individual will not cover his or her mou

VikaD [51]

Complete Question

The complete question is shown on the first uploaded image

Answer:

$P(X = 8) = 0.0037$

$P(X < 5) = 0.805$

$P(X > 6) = 0.0206$

I would be surprised because the value is very small , less the 0.05

Step-by-step explanation:

From the question we are told that

The probability a randomly selected individual will not cover his or her mouth when sneezing is $p = 0.267$

Generally data collected from this study follows binomial distribution because the number of trials is finite , there are only two outcomes, (covering , and not covering mouth when sneezing ) , the trial are independent

Hence for a randomly selected variable X we have that

$X \ \ \~ \ \ { B ( p , n )}$

The probability distribution function for binomial distribution is

$P(X = x ) = ^nC_x * p^x * (1 -p) ^{n-x}$

Considering question a

Generally the the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when sneezing is mathematically represented as

$P(X = 8) = ^{12} C_8 * (0.267)^8 * (1- 0.267)^{12-8}$

Here C denotes combination

$P(X = 8) = 495 * 0.000025828 * 0.28867947$

$P(X = 8) = 0.0037$

Considering question b

Generally the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when sneezing is mathematically represented as

$P(X < 5 ) =[P(X = 0 ) + \cdots + P(X = 4)]$

=> $P(X < 5 ) =[ ^{12} C_0 * (0.267)^0 * (1- 0.267)^{12-0} + \cdots + ^{12} C_4 * (0.267)^4 * (1- 0.267)^{12-4} ]$

=> $P(X < 5 ) = 0.02406 + 0.10516 + 0.21067 + 0.25580 + 0.20964$

=> $P(X < 5) = 0.805$

Considering question c

Generally the probability that fewer than half(6) covered their mouth when sneezing(i.e the probability the greater than half do not cover their mouth when sneezing) is mathematically represented as

$P(X > 6) = 1 - p(X \le 6)$

=> $P(X > 6) = 1 - [P(X = 0) + \cdots + P(X =6)]$

=> $P(X > 6)=1 - [^{12} C_0 * (0.267)^0 * (1- 0.267)^{12-0}+ \cdots + ^{12} C_4 * (0.267)^6 * (1- 0.267)^{12-6} ]$

=> $P(X > 6)= 1 - [0.02406 + \cdots + 0.0519 ]$

=> $P(X > 6) = 0.0206$

I would be surprised because the value is very small , less the 0.05

8 0

4 years ago