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kobusy [5.1K]
3 years ago
14

Which expression is equivalent to 3 square root of 125x6y15z3?

Mathematics
1 answer:
Elina [12.6K]3 years ago
5 0
Assuming this expression is: \sqrt[3]{125x^6y^{15}z^3}, we can take the cube roots of each of the individual terms 125, x^6, y^{15}, z^3. The cube root of 125 is 5, while the cube root of the exponents is simplified by dividing each exponent by 3. This results in the answer of:5x^{\frac{6}{3}}y^{\frac{15}{3}}z^{\frac{3}{3}} = 5x^2y^5z
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A survey of 37 students at the Wall College of Business showed the following majors: Accounting 9 Finance 6 Economics 3 Manageme
Dmitry [639]

Answer:

10/37.

Step-by-step explanation:

The probability that he or she is a management major is 10/37.

The concept of probability that was used was:

Classical probability: The probability is equal to (number of favourable cases) / (number of total cases). Since the total of students who are a management major is 10 and we have 37 students in total, the probability will be 10/37.

3 0
3 years ago
1. Determine the lateral area of the rectangular prism.*<br> 8 cm<br> 5 cm<br> 9 cm
I am Lyosha [343]

Answer:

13 cm hshdhdhdhrhthbfuff fbfjfhft ryjrhr rjdjr ruebr ruebr

3 0
3 years ago
A fisherman uses a spring scale to weigh a tilapia fish. He records the fish weight as a kilograms and notices that the spring s
belka [17]

Answer:

k = \frac{980a}{b}

Step-by-step explanation:

Fisherman noticed a stretch in the spring = 'b' centimetres

Weight of the fish = a kilograms

If force applied on a spring scale makes a stretch in the spring then Hook's law for the force applied is,

F = kΔx

Where k = spring constant

Δx = stretch in the spring

F = weight applied

F = mg

Here 'm' = mass of the fish

g = gravitational constant

F = a(9.8)

  = 9.8a

Δx = b centimetres = 0.01b meters

Therefore, 9.8a = k(0.01b)

k = \frac{9.8a}{0.01b}

k = \frac{980a}{b}

Therefore, spring constant of the spring will be determined by the expression, k = \frac{980a}{b}

4 0
3 years ago
2.06. In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nucle
DaniilM [7]

Answer:

z=\frac{0.74-0.56}{\sqrt{0.64(1-0.64)(\frac{1}{100}+\frac{1}{125})}}=2.795  

p_v =2*P(Z>2.795)= 0.005  

So if we compare the p value and using any significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the proportions are different at 5% of significance.  

Step-by-step explanation:

Data given and notation  

X_{1}=74 represent the number of residents in a certain city and its suburbs who favor the construction of a nuclear power plant

X_{2}=70 represent the number of people suburban residents are in favor

n_{1}=100 sample 1 selected

n_{2}=125 sample 2 selected

p_{1}=\frac{74}{100}=0.74 represent the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant

p_{2}=\frac{70}{125}=0.56 represent the proportion of suburban residents are in favor

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportions are different, the system of hypothesis would be:  

Null hypothesis:p_{1} = p_{2}  

Alternative hypothesis:p_{1} \neq p_{2}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{74+70}{100+125}=0.64

Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.74-0.56}{\sqrt{0.64(1-0.64)(\frac{1}{100}+\frac{1}{125})}}=2.795  

Statistical decision

The significance level provided is \alpha=0.05 ,and we can calculate the p value for this test.  

Since is a two tailed test the p value would be:  

p_v =2*P(Z>2.795)= 0.005  

So if we compare the p value and using any significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the proportions are different at 5% of significance.  

5 0
3 years ago
Please help me. !no links or files! please and thank you :))
almond37 [142]

Answer:

7x+8m+7

Step-by-step explanation:

2(3x+4m)+x+7 =

6x+8m+x+7=

7x+8m+7

6 0
3 years ago
Read 2 more answers
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