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Artyom0805 [142]
2 years ago
8

Ella simplifies (3 b + 4 r) + (negative 2 b minus r) and says the result is b Plus 5r. What error did Ella make? Ella incorrectl

y combined the b coefficients. The correctly simplified expression is 5 b + 5 r. Ella incorrectly combined the b coefficients. The correctly simplified expression is Negative b + 5 r. Ella incorrectly combined the r coefficients. The correctly simplified expression is b – 5r. Ella incorrectly combined the r coefficients. The correctly simplified expression is b Plus 3r.
Mathematics
2 answers:
zavuch27 [327]2 years ago
8 0

Answer:

Ella incorrectly combined the r coefficients. The correctly simplified expression is b Plus 3r.

Step-by-step explanation:

(3b+4r)+(-2b-r)

Open the bracket

=3b+4r-2b-r

Combine the like coefficient

=3b-2b+4r-r

=b+3r

Ella incorrectly combined the r coefficients. The correctly simplified expression is b Plus 3r.

yaroslaw [1]2 years ago
8 0

Answer:

Ella incorrectly combined the r coefficients. The correctly simplified expression is b Plus 3r.which is answer D.

Step-by-step explanation:

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Rob found 103 + 1875 = x using mental math. Use at least 3 terms from the world list to describe how Rob could find the sum.
arlik [135]

Answer:

Make, sum, total

Step-by-step explanation:

There are many terms in the word list that could be used to describe how Rob had solved the sum in his head. He had made and arranged numbers vertically in his head then sum it and at last he found the total.

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2 years ago
Jarvis works in a garage £6 an hour. If he works on Saturday, he is paid time and a quarter. If he works on Sunday, he is paid t
ruslelena [56]

Answer: He is paid $90 last weekend.

Step-by-step explanation:

Since we have given that

Amount he earns per hour = $6

If he works on Saturday, he is paid time and a quarter .

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6\times 1.25=\$7.5

If he works on Sunday, he is paid time and a half.

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6\times 1.5=\$9

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4 0
2 years ago
When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let
vladimir1956 [14]

Answer:

a) P(X ≤ 2) = 0.87

b)  P(X ≥ 5) = 0.01

c) P(1 ≤ X ≤ 4) = 0.71

d) P ( X = 0 ) = 0.28

e) σ(X) = 1.09 , E(X) = 1.25

Step-by-step explanation:

Given:

- Let X = the number of defective boards in a random sample of size n = 25, so X ~ Bin(25, 0.05)

Where, n = 25 and p = 0.05

Find:

(a) Determine P(X ≤ 2).(b) Determine P(X ≥ 5).(c) Determine P(1 ≤ X ≤ 4).(d) What is the probability that none of the 25 boards is defective?(e) Calculate the expected value and standard deviation of X.

Solution:

- The probability mass function for a binomial distribution is given by:

                         P ( X = x ) = nCr * (p)^r * ( 1 - p )^(n-r)

a) P(X ≤ 2):

                         P(X ≤ 2) = P ( X = 0 ) + P ( X = 1 ) + P ( X = 2 )

                         = (0.95)^25 + 25*0.05*0.95^24 + 25C2*0.05^2*0.95^23

                         = 0.87

b) P(X ≥ 5):

            P(X ≥ 5) = 1 - [P ( X = 0 ) + P ( X = 1 ) + P ( X = 2 ) + P ( X = 3 ) + P(X=4)

            = 1 - [ 0.87 + 25C3*0.05^3*0.95^22 + 25C4*0.05^4*0.95^21]

            = 1 - 0.98994

            = 0.01

c) P(1 ≤ X ≤ 4):

            P(1 ≤ X ≤ 4) = P ( X = 1 ) + P ( X = 2 ) + P ( X = 3 ) + P(X=4)

            = ( 0.87 - 0.95^25) + 0.11994

           = 0.71

d) P( X = 0 )

            P ( X = 0 ) = 0.95^25 = 0.28

e) E(X) & σ(X):

            E(X) = n*p

            E(X) = 25*0.05 = 1.25

            σ(X) = sqrt ( Var (X) )

            σ(X) = sqrt ( n*p*(1-p) ) = sqrt ( 25*0.05*0.95 )

            σ(X) = 1.09

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2 years ago
Three teachers equally shared StartFraction 4 Over 5 EndFraction of a flat of paper that was donated to the school. What fractio
melisa1 [442]

Answer:

Each = \frac{4}{15}

Step-by-step explanation:

Given

Fraction = \frac{4}{5}

Teachers = 3

Required

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Each fraction is calculated by dividing total fraction by number of teachers as follows:

Each = \frac{Fraction}{Teachers}

Each = \frac{4}{5}/3

Each = \frac{4}{5} * \frac{1}{3}

Each = \frac{4}{15}

4 0
2 years ago
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