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Dmitry [639]
2 years ago
7

Which statement describes a process to solve sqrt b+20 - sqrt b=5?

Mathematics
1 answer:
babunello [35]2 years ago
7 0

Answer:

Step-by-step explanation:

The equation is:

√b+20 - √b = 5

The first step is we will add √b to both sides:

√b+20 -√b +√b = 5 +√b

√b+20 = 5+√b

Now take square at both sides:

(√b+20)^2 = (5+√b)^2

b+20 = 25+10√b+b

Now combine the like terms:

b+20-25-b=10√b

-5 = 10√b

Divide both the terms by 10

-5/10 = 10√b/10

-1/2=√b

Take square at both sides:

(-1/2)^2 = (√b)^2

1/4 = b

So in this type of question we add radical terms to both sides and square both sides twice....

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Finally, you meet a group of six natives, U, V, W, X, Y, and Z, who speak to you as follows. U says: None of us is a knight. V s
marin [14]

Answer:

w and y are knights

Step-by-step explanation:

6 0
2 years ago
A website reports that 70% of its users are from outside a certain country, and 60% of its users logon the website every day. Su
JulijaS [17]

Answer:

The value is P (I |  L  )  =     0.63

The probability has increased

Step-by-step explanation:

From the question we are told that

   The percentage that are from outside the country is  P(O) =  0.70

    The  percentage that logs on everyday is  P(L) =  0.60

    The  percentage that logs on everyday that are from the inside the country is     P(L  |  I) =  0.80

Generally using Bayes' Rule the probability that a person is from the country given that he logs on the website every day is mathematically represented as

     P (I |  L  )  =  \frac{P(I)* P(L|I)}{ P(O) *P(L|O) + P(I) *P(L|I) }

Where  P(I) is the percentage that are from inside that country which is mathematically represented as

       P(I) =  1 -  P(O)

      P(I) =  1 -  0.70

      P(I) =  0.30

And P(L| O) is  percentage that logs on everyday that are from the outside  the country which is evaluated as

      P(L| O)  =  1-  P(L| I)

       P(L| O)  =  1-  0.80

       P(L| O)  = 0.20

P (I |  L  )  =  \frac{ 0.3* 0.80 }{ 0.7 *0.20 + 0.3 * 0.8 }    

P (I |  L  )  =     0.63

Given that the percentage that are from inside that country is  P(I) =  0.30

and that the probability that a person is from the country given that he logs on the website every day is  P (I |  L  )  =     0.63

We see that the additional information increased the probability

5 0
1 year ago
A house cat,Sophie scared away 5 birds when she arrived on the porch if 3 birds remains,write and solve an equation to find how
Sunny_sXe [5.5K]

Answer:

8-5 = 3

Step-by-step explanation:

3 0
2 years ago
A realty company looks at a recent sample of houses that have sold On testing the nul hypothesis that 57% of the houses take mor
Murrr4er [49]

Answer:

The correct option is: If 57% of the houses take more than three months to sell, there is a 2 6% chance that a random sample proportion would be as high as or higher than the one they obtained

Step-by-step explanation:

Consider the provided information.

The Null hypotheses is 57%,

H_0: \mu=0.57\\H_a: \mu>0.57

P-value is given as 0.026

Here P value represents the probability.

0.026 can be written as: 2.6%

Thus the conclusion is:

If 57% of the houses take more than three months to sell, there is a 2 6% chance that a random sample proportion would be as high as or higher than the one they obtained.

Hence, the correct option is: If 57% of the houses take more than three months to sell, there is a 2 6% chance that a random sample proportion would be as high as or higher than the one they obtained

7 0
1 year ago
Suppose the following are the city driving gas mileages of a selection of sport utility vehicles (SUVs). 19, 20, 19, 20, 18, 21,
nikdorinn [45]

Answer:

Step-by-step explanation:

The mean of the gas mileages is 317÷16=19.8125

317 is the sum total of all the figures and 16 is the number of figures in the distribution

Standard deviation is the square root of the variance and the variance is the mean of all squared deviations

The 16 squared deviations are

7.9102(×2) + 3.2852(×2) + 0.6602(×3) + 0.0352(×4) + 1.4102(×3) + 10.1602 + 17.5352 = 56.4382

56.4382÷16 = 3.5274

This is the Variance. The standard deviation is herefore √3.5274 =1.878 ~ 1.88 (to 2 decimal places)

(B) Chebyshev's inequality predicts that 75% of the selection will fall within 2 standard deviations of the mean

2×1.88=3.76

19.8125-3.76 = 16.05

19.8125+3.76= 23.57

The gas mileages are between 16.05 and 23.57

(C) the actual % of SUV models of the sample that fall in the above range is (15/16 × 100) = 93.75%

(D) the empirical rule gives the more accurate prediction

5 0
2 years ago
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