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zlopas [31]
3 years ago
12

Solve the equation or formula for the indicated variable.

Mathematics
2 answers:
frosja888 [35]3 years ago
7 0

Answer:

The correct answer is the second option: s=\sqrt{\frac{R-3}{t}}

Step-by-step explanation:

The idea is to get the variable s for alone on one side. To do that follows the following steps:

1. Pass the number 3 to subtract to the left.

R=t\cdot s^2+3

R-3=t\cdot s^2

2. Pass the letter t to divide to the left side.

\frac{R-3}{t}=s^2

3. Take the squared root on both sides.

\sqrt{\frac{R-3}{t}}=\sqrt{s^2}

4. The right part can be simplified to s because the power and the root are canceled.

\sqrt{\frac{R-3}{t}}=s

5. The solution of the equations is:

s=\sqrt{\frac{R-3}{t}}

Thus, the correct answer is the second option: s=\sqrt{\frac{R-3}{t}}

alex41 [277]3 years ago
3 0
Subtract 3 both sides first. R-3=ts²

next, divide both sides by t, (R-3)/t=s²

finally, take the square root of both sides

√(R-3)/t = s. 2nd choice.
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If the heights of 300 students are normally distributed with mean 68.0 inches and standard deviation 3.0 inches, how many studen
Lunna [17]
Given:
μ = 68 in, population mean
σ = 3 in, population standard deviation

Calculate z-scores for the following random variable and determine their probabilities from standard tables.

x = 72 in:
z = (x-μ)/σ = (72-68)/3 = 1.333
P(x) = 0.9088

x = 64 in:
z = (64 -38)/3 = -1.333
P(x) = 0.0912

x = 65 in
z = (65 - 68)/3 = -1
P(x) = 0.1587

x = 71:
z = (71-68)/3 = 1
P(x) = 0.8413

Part (a)
For x > 72 in, obtain
300 - 300*0.9088 = 27.36

Answer: 27

Part (b)
For x ≤ 64 in, obtain
300*0.0912 = 27.36

Answer: 27

Part (c)
For 65 ≤ x ≤ 71, obtain
300*(0.8413 - 0.1587) = 204.78

Answer: 204

Part (d)
For x = 68 in, obtain
z = 0
P(x) = 0.5
The number of students is
300*0.5 = 150

Answer: 150

3 0
3 years ago
Solve 3(x +15) ≤5(x+2) + 15<br>​
belka [17]

Answer:

x≥5

Step-by-step explanation:

3(x+15)≤5(x+2)+15

3x+45≤5x+10+15

3x+35≤5x+25

3x-5x≤25-35

-2x≤-10

x≥5

{x:xEx:6,7,8,9,10....}

Hope this helps ;) ❤❤❤

3 0
3 years ago
The power generation plant of a ship is outfitted with two identical diesel-generator sets. One single set running stand-alone c
dem82 [27]

Answer:

probability of an electric power outage shipboard is 0.075 or 7.5 %

Step-by-step explanation:

Given the data in the question;

Probability of engine malfunction = 25% = 0.25

Probability of generator malfunction = 10% = 0.1  

Probability of generator being repaired = 50% = 0.5

probability of an electric power outage shipboard = ?

To get the probability of an electric power outage shipboard, we use the expression;

probability of an electric power outage = 2_c_1 × p( Probability of generator malfunction ) × p( Probability of generator being repaired ) × ( 1 - p( Probability of engine malfunction ) )

so we substitute in our given values;

probability of an electric power outage = 2 × 0.1 × 0.5 × ( 1 - 0.25 )

probability of an electric power outage = 2 × 0.1 × 0.5 × 0.75

probability of an electric power outage = 0.075 or 7.5 %

3 0
3 years ago
Tom went to the supermarket and could not spend more than $30.00. He spent $9 on dairy
valina [46]

Answer:

it will be c

Step-by-step explanation:

6 0
3 years ago
the time it takes to fly from los angeles to new york varies inversely as the speed of the plane. if the trip takes 6 hours at 9
natima [27]
Inverse variation means y=k/x  (direct variation is y=kx) so we can use the info given to find the constant k

y=k/x

6=k/900

k=6(900)

k=5400 so the equation is:

y=5400/x  or more accurately for this problem

t(v)=5400/v  then:

t(800)=5400/800

t(800)=6.75 hours
7 0
3 years ago
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