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Kobotan [32]
2 years ago
12

Which of the following is a solution to the equation 3/4x - 12 = -18?

Mathematics
2 answers:
Temka [501]2 years ago
4 0

Answer:

-8

Step-by-step explanation:

3/4x=-18+12

x=-6×4/3

x=-8

Colt1911 [192]2 years ago
3 0

Answer:

x = -8

Step-by-step explanation:

\frac{3}{4} x - 12 =  - 18

i) multiply both sides of equation with 4

4(\frac{3}{4} x - 12) = 4( - 18)

(4 \times  \frac{3}{4} x) + (4 \times ( - 12)) =  - 72

3x - 48 =  - 72

ii) move -48 to the right-hand side and change its sign

3x =  - 72 + 48

iii) calculate the sum

3x =  - 24

iv) divide both sides of equation with 3

\frac{3x}{3}  =  \frac{ - 24}{3}

x =  - 8

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The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi
dem82 [27]

Answer:

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 16.3, \sigma = 4.2

What is the probability that a randomly selected exam will require more than 15 minutes to grade

This is 1 subtracted by the pvalue of Z when X = 15. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{15 - 16.3}{4.2}

Z = -0.31

Z = -0.31 has a pvalue of 0.3783.

1 - 0.3783 = 0.6217

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

8 0
3 years ago
Please help me with this problem i need this now
Bad White [126]

Answer:

$2,975

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 3500 × 15/100

Discount = 3500 x 0.15

You save = $525.00

Final Price = Original Price - Discount

Final Price = 3500 - 525

Final Price = $2,975.00

4 0
2 years ago
PTG has side lengths of 18 cm, 27 cm, and 13 cm. which type of triangle is PTG? The answer is obtuse.
Verizon [17]
To know what kind of triangle is it. use the pythagorean theorem:
A^2 + B^2 = C^2,
where C is the longest side of the triangle 
if it satisfies the equation then it is a right triangle
if it does not then A^2 + B^2 > C^2 so it is acute triangle
if A^2 + B^2 < C^2 it is obtuse triangle

18^2 + 13^2 ? 27^2
324 + 169 ? 729
493 < 729 so it is obtuse triangle

3 0
3 years ago
Two cells are viewed and measured under a microscope. The approximate diameter
nikklg [1K]

Answer:

option D. 4.7 x 10-4 m

Step-by-step explanation:

<u><em>The correct question is</em></u>

• cell P: 5.0 x 10-4 meters

• cell Q: 3.0 x 10-5 meters

we have            

The diameter of cell P is  5*10^{-4}\ m

The diameter of cell Q is  3*10^{-5}\ m

Rewrite the diameter of cell P as    

5*10^{-4}\ m=5*10^{-4}(\frac{10}{10})=50*10^{-5}\ m

Find the difference

50*10^{-5}\ m-3*10^{-5}\ m=47*10^{-5}\ m

Rewrite the difference as

47*10^{-5}\ m=47*10^{-5}}(\frac{10}{10})=4.7*10^{-4}\ m

7 0
3 years ago
The value of 33+4⋅(52−42)
joja [24]

We will use order of operations (PEMDAS) to solve this.

1.) 33+4(52-42) This is our equation. So, first we are gonna subtract 42 from 52.

2.) 33+4(10) Now that we did that, we are gonna add 4 to 33.

3.) 37(10) Lastly we are gonna multiply 37 by 10.

The answer is gonna be 370. If this helped, maybe consider giving me brainliest :)

7 0
2 years ago
Read 2 more answers
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