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3 years ago

Order of Operations: Missing Numbers, please help

Mathematics

1 answer:

avanturin [10]3 years ago

5 0

1. Answer is 14.

you first do 8x6 cause of BEDMAS, which is 48. then subtract 12, which gives you 36. then subtract 36 from 50 because 50 is the total amount it should be on both sides.

50 - 36 = 14

2. Answer is 8

5x3 is 15, + 2 is 17. then 20 - 17 gives you 3. you then have 24 divided by a number, and that number is 8 because 24 divided by 8 gives you three

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at a particular high school, 42% of the students participate in sports and 25% of the students participate in drama. if 53% of t

baherus [9]

The probability that a student participates in both sports and drama is $0.14$ .

<h3>What is the formula for P(AUB), where A and B are any two events?</h3>

If $A$ and $B$ are any two events, then the probability of the joint event $(A\cup B)$ is given by the following formula: $P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Given that 42% of the students participate in sports and 25% of the students participate in drama and 53% of the students participate in either sports or drama.

Suppose $S$ denotes that "a student participates in sports" and $D$ denotes that "a student participates in drama".
So, we have $P(S)=\frac{42}{100}=0.42$ , $P(D)=\frac{25}{100}=0.25$ , $P(S\cup D)=\frac{53}{100}=0.53$ .

We want to find the probability that a student participates in both sports and drama i.e., we want to find $P(S\cap D)$ .

By the above formula, we obtain:

$P(S\cup D)=P(S)+P(D)-P(S\cap D)\\\Longrightarrow P(S\cap D)=P(S)+P(D)-P(S\cup D)\\\Longrightarrow P(S\cap D)=0.42+0.25-0.53\\\therefore P(S\cap D)=0.14=\frac{14}{100}$

Therefore, the probability that a student participates in both sports and drama is $0.14$ .

To learn more about probability, refer: brainly.com/question/24756209

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6 0

1 year ago

Read 2 more answers

Given circle Q with a measure of SR=120° and a radius of 9 feet, as shown below.

Pie

Answer:

18.85 feet

Step-by-step explanation:

Determine the arc length of SR

Arc length = θ/360 × 2πr

r = 9 feet

θ =120°

Arc length = 120/360 × 2 × π × 9

= 18.849555922 feet

Approximately = 18.85 feet

Therefore, the arc length of SR = 18.85 feet

6 0

3 years ago

Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a^2 – 18 square units. Which i

netineya [11]

we know that

The area of the hexagon is equal to the sum of the areas of the six equilateral triangles

Let

x-------> area of one equilateral triangle

$6x=24a^{2} -18$

Divide by $6$ both sides

$x=4a^{2} -3$ -------> area of one equilateral triangle

To find an equivalent expression for the area of the hexagon based on the area of a triangle, multiply the area of one equilateral triangle by $6$

$6*(4a^{2} -3)$

therefore

the answer is

The equivalent expression is equal to $6*(4a^{2} -3)$

6 0

3 years ago

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Put the following equation of a line into slope-intercept form, simplifying all

soldier1979 [14.2K]

Answer: y = 2x - 2

Explanation: The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
y = mx + b
Subtract 2x from both sides of the equation.
-y = 2 - 2x
Multiply each term in -y = 2 - 2x by -1
(-y) . -1 = 2 . -1 + (-2x) . -1
Multiply (-y) . -1
Multiply -1 by -1
Multiply y by 1
y = 2 . -1 + (-2x) . -1
Simplify each term
Multiply 2 by -1
y = -2 + (-2x) . -1
Multiply -1 by -2
y = -2 + 2x
Reorder -2 and 2x
y = 2x - 2

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2 years ago

according to the empirical rule approximately what percentage of the area under the whole curve is in the right hand tail

zimovet [89]

The rule states 2.5% is in the right hand tail

5 0

3 years ago