All categories

3 years ago

Solve for the given variable (see pic)

Mathematics

2 answers:

Zanzabum3 years ago

8 0

Isolate the a. Note the equal sign. What you do to one side, you do to the other.

Subtract 27 from both sides to isolate the a.

a + 27 (-27) = 32 (-27)

a = 32 (-27)

Subtract

a = 5

5 is your answer

hope this helps

4vir4ik [10]3 years ago

7 0

27+a=32
a=32-27
a=5

Hope this helped you :)

You might be interested in

The lifetimes of a certain type of light bulbs follow a normal distribution. If approximately 2.5% of the bulbs have lives excee

spin [16.1K]

Answer:

Mean = 339 hours

Standard deviation = 54 hours

Step-by-step explanation:

We are given that approximately 2.5% of the bulbs have lives exceeding 445 hours

So,P(x>445) = 0.025

P(x<445) =1- 0.025 =0.975

z value for 0.975 is 1.96

Formula : $z=\frac{x-\mu}{\sigma}$

So, $1.96=\frac{445-\mu}{\sigma}$

$1.96 \sigma =445-\mu$ --A

Now we are given that approximately 16% have lives exceeding 393 hours,

So,P(x>393) = 0.16

P(x<393) =1- 0.16 =0.84

z value for 0.84 is 1

Formula : $z=\frac{x-\mu}{\sigma}$

So, $1=\frac{393-\mu}{\sigma}$

$1 \sigma =393-\mu$ ---B

Solve A and B

Substitute the value of $\sigma$ from B in A

$1.96 (393 -\mu) =445-\mu$

$770.28 -1.96\mu=445-\mu$

$770.28 -445=1.96\mu-\mu$

$325.28=0.96\mu$

$\frac{325.28}{0.96}=\mu$

$338.83=\mu$

Substitute the value in B

$\sigma =393-338.83$

$\sigma =54.17$

So, mean = 339 hours

Standard deviation = 54 hours

5 0

3 years ago

6 x 10^9 divide 3x10^4 = ____x10^?

lara [203]

Answer:

2 × 10⁵

Step-by-step explanation:

The following data were obtained from the question:

6×10⁹/ 3×10⁴ =?

The above expression can be simplified as follow:

6×10⁹/ 3×10⁴ = 6×10⁹ ÷ 3×10⁴

Recall:

Aᵐ ÷ Aⁿ = Aᵐ ¯ ⁿ

Therefore,

6×10⁹ ÷ 3×10⁴ = (6/3) × 10⁹ ¯ ⁴

6×10⁹ ÷ 3×10⁴ = 2 × 10⁵

Thus, 6×10⁹/ 3×10⁴ is equal to 2 × 10⁵

6 0

3 years ago

A baseball is hit straight up at an initial velocity of 150 m/s. What will be the baseball's speed when it hits the ground?

galben [10]

Assuming that the ball is launch from the ground. the initial velocity would be equal to its final velocity when it reach the ground. this is because the acceleration due to gravity is working on the ball, when it goes up decelerates up to zero, then falls back then acceleartes again until it reach the groun, where the velocity is 150 m/s

7 0

4 years ago

Read 2 more answers

What is the solution set for X-3>1?

r-ruslan [8.4K]

Answer:

x > 4

Step-by-step explanation:

X-3>1

Add 3 to each side

X-3+3>1+3

x > 4