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aivan3 [116]
3 years ago
9

PLEASE HELP, GIVING 25 POINTS!!!! Fill in the blank. (5x)^2 = ___ x^2

Mathematics
1 answer:
Dimas [21]3 years ago
3 0

Answer:

The answer is 25

Step-by-step explanation:

(5x)^2=25^2

5x times 5x is 25x^2

25^2 divided by 5x is 5x

The two x's become x^2 and the two 5's just multiply to 25

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The workers' union at a particular university is quite strong. About 96% of all workers employed by the university belong to the
Semenov [28]

Answer: 0.14155776

Step-by-step explanation:

Given : The proportion of workers employed by the university belong to the workers' union=0.96

Let x be a binomial variable that represents that worker belongs to the workers' union.

Sample size : n= 4

P(x=3)=^4C_3(0.96)^3(0.04)^1\\\\=(4)(0.96)^3(0.04)=0.14155776

[Binomial probability formula : P(X=x)=^nC_x(p)^x(1-p)^{n-x}]

Hence, the probability that exactly 3 of the workers interviewed are union members =0.14155776

7 0
3 years ago
Select the correct answer.
oksano4ka [1.4K]

Answer: \dfrac{1}{3}

Step-by-step explanation:

Favorable outcomes (sum is a multiple of 3): (1,2) , (1, 5), (1,8), (2,1) , (2,4), (2,7) , (3, 3), (3, 6), (4, 2), (4, 5) , (4, 8), (5,1), (5, 4), (5, 7), (6,3), (6, 6).

Number of favorable outcomes (sum is a multiple of 3): 16

Total outcomes = Total outcomes of 6-sided die x Total outcomes of 8-sided die=6 × 8 = 48

Then , the probability of getting numbers whose sum is a multiple of 3:

=\dfrac{\text{favorable outcomes}}{\text{total outcomes}}\\\\=\dfrac{16}{48}=\dfrac{1}{3}

Hence, the required probability =\dfrac{1}{3}

7 0
3 years ago
The price of a car has been reduced from $15,000 to $9,000. What is the percentage decrease of the price of the car?
Fynjy0 [20]

Answer:

40<em>% is the decrease.</em>

<em />

Step-by-step explanation:

<em>To figure out the percentage decrease, you would first subtract the two numbers. </em>

<em />

<em />15000 - 9000 = 6000<em />

<em />

<em>Next, you would divide that number by the total.</em>

<em />

<em />6000 / 15000 = .4<em />

<em />

<em />15000 * .4 = 6000<em />

<em />

<em />15000 - 6000 = 9000<em />

<em />

<em />40<em>% </em><em>would be the decrease percentage. </em>

3 0
2 years ago
Question
Alekssandra [29.7K]

Answer:

d=7.8\ g/cm^3

Step-by-step explanation:

Given that,

The dimensions of a rectangular block = 4 cm x 2 cm x 1.5 cm

Mass, m = 93.6 g

We need to find the density of steel. We know that the density of an object is equal to the mass divided by volume. So,

d=\dfrac{m}{V}\\\\d=\dfrac{93.6}{4\times 2\times 1.5}\\\\d=7.8\ g/cm^3

So, the density of the steel is 7.8\ g/cm^3.

8 0
2 years ago
A square field has a side of 42 m. Find the cost of fencing its<br>boundary at Rs. 8 per metré.​
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