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11Alexandr11 [23.1K]
3 years ago
5

working together Alberto and Amanda can paint a fence in 4.12 hours. had she done it alone it would have taken Amanda 10 hours.

find how long it would take Alberto to do it alone. A) 6.75 B) 5.02 c) 7.54 D)7.01
Mathematics
1 answer:
strojnjashka [21]3 years ago
6 0

Answer:

  D)  7.01

Step-by-step explanation:

The rates of doing work, in terms of jobs per hour, will add when the two painters are working together. If A represents Alberto's time to do the job alone, we have ...

  1/4.12 = 1/10 + 1/A

(Jobs per hour is the inverse of hours per job.)

  A = 1/(1/4.12 -1/10) ≈ 7.0068 ≈ 7.01

It takes Alberto 7.01 hours to do the job alone.

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If a_1=2a 1 ​ =2 and a_n=(a_{n-1})^2-2a n ​ =(a n−1 ​ ) 2 −2 then find the value of a_4a 4 ​ .
Aleks04 [339]

9514 1404 393

Answer:

  2

Step-by-step explanation:

We assume your recursive formula is ...

  a_1=2\\a_n=a_{n-1}^2-2

Using this to find a4, we get ...

  a_2=a_1^2-2=2^2-2=2\\a_3=a_2^2-2=2^2-2=2\\a_4=a_3^2-2=2^2-2=2\\\\\boxed{a_4=2}

6 0
2 years ago
What is the probability that a data value in a normal distribution is between a z-score of -1.32 and a z-score of -0.34 Round yo
Galina-37 [17]

We are asked to find the probability that a data value in a normal distribution is between a z-score of -1.32 and a z-score of -0.34.

The probability of a data score between two z-scores is given by formula P(a.

Using above formula, we will get:

P(-1.32

Now we will use normal distribution table to find probability corresponding to both z-scores as:

P(-1.32

P(-1.32

Now we will convert 0.27351 into percentage as:

0.27351\times 100\%=27.351\%

Upon rounding to nearest tenth of percent, we will get:

27.351\%\approx 27.4\%

Therefore, our required probability is 27.4% and option C is the correct choice.

5 0
3 years ago
Is (p3)4 • p8 = p20 true or false ?
Oduvanchick [21]
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8 0
2 years ago
Use the diagram to answer the question
koban [17]

Answer:

m\angle EFG=52^{o}

Step-by-step explanation:

We have been given that line m is parallel to line p, m\angle HEF=39^{o} and m\angle IGF=13^{o}.

Since line m is parallel to line p and EJ is a transversal, so measure of angle EJG will be 39 degrees as angle EJG is alternate interior angle of angle HEF. Both angles are inside parallel lines m and p and on opposite side of transversal EJ.

We can see that angle EFG is exterior angle of triangle GFJ. Since the measure of an exterior angle of a triangle equals to the sum of the opposite interior angles.

We can see that angle IGF and angle EJG are opposite interior angles of angle EFG.

m\angle EFG=m\angle IGF+m\angle EJG

Upon substituting our given values we will get,

m\angle EFG=13^{o}+39^{o}

m\angle EFG=52^{o}

Therefore, measure of angle EFG is 52 degrees.

3 0
3 years ago
Help ASAP! 20 pts. Will give brainliest for right answer
Anestetic [448]
The answer is B (3,-2)

6 0
3 years ago
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