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Genrish500 [490]
3 years ago
12

Richard walks every day for exercise at a rate of 1 kilometer every 20 minutes. At this rate, how many meters can Richard walk i

n 1 hour? Complete the explanation about how you found your answer. Richard can walk meters. Since there are minutes in 1 hour, you would divide 60 ÷ 20 = . Then you would multiply 1 × 3 = to find out how many kilometers Richard walks in 1 hour. Since there are meters in 1 kilometer, you would multiply 3 × 1,000 = to convert to meters. Suppose Richard walks 1 kilometer every 15 minutes. How many meters further can he walk in 1 hour at this new rate? Complete the explanation about how you found your answer. Richard can walk meters further with this new rate. Since there are minutes in 1 hour, you would divide 60 ÷ 15 = . Then you would multiply 1 × 4 = to find out how many kilometers Richard walks in 1 hour. Since there are meters in 1 kilometer, you would multiply 4 x 1,000 = to convert to meters. So, Richard walks meters in 1 hour at his new rate. Then you subtract 4,000 − 3,000 = .
Mathematics
1 answer:
Zanzabum3 years ago
6 0

Answer:

3000 minutes

Step-by-step explanation:

20 x 3 = 60 minutes

60 minutes = 1 hour

1 x 3 = 3km

3km = 1 hour

3 x 1000 = 3000 meters

Ans: 3000 meters

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Step-by-step explanation:

Use the distributive property. The factor outside parentheses multiplies each term inside parentheses.

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<h3>5.</h3>

  (9xy)(-2x^2y^3+6xy)=(9xy)(-2x^2y^3)+(9xy)(6xy^3)\\\\=\boxed{-18x^3y^4+54x^2y^4}

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<h3>6.</h3>

  (3x-5)(2x-10)=3x(2x-10)-5(2x-10)\\\\=6x^2-30x-10x+50=\boxed{6x^2-40x+50}

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2 years ago
For the function f(x) = –(x + 1)^2 + 4, identify the vertex, domain, and range.
olga_2 [115]
B; you can graph the function on a graphic calculator or use algebra find each of the desired aspects
5 0
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A) Solve the system by substitution.<br> y = 5x – 3<br> -X – 5y = -11
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Answer:

Step-by-step explanation:

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klemol [59]
To complete this algebra problem, just like any other, we have to complete the proper steps in order; here as follows.

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         -------------
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2. </span><span><span>(<span><span>−<span>3x </span></span>+ 2</span>) </span><span>(<span>x − 6</span><span>)
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And finally..


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-3x + 2

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4 0
3 years ago
A coin is weighted so that the probability of obtaining a head in a single toss is 0.3. If the coin is tossed 35 times, what is
Vlada [557]

Answer:

(1) The correct answer is option (a) 0.510

(2) The correct answer is option (b) = 0.9664

(3) The correct answer is option (a)  0.8665

Step-by-step explanation:

1. Find attached of question 1

2.

n= 850

p= 0.1400  

here mean of distribution(μ) =n*p

                                               =850* 0.1400

                                                = 119  

standard deviation σ = √(np(1-p))

                                    = √(850*0.1400(1-0.1400))

                                    = √102.34

                                       =10.1163  

for normal distribution z score =(X-μ)/σx    

therefore from normal approximation of binomial distribution and continuity correction:

probability = P(X>100.5)

                   = P(Z>-1.83)

                   = 1-P(Z<-1.83)

                   = 1-0.0336

                   = 0.9664

3.

n = 1000

p = 0.08

mean of distribution(μ) =np

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and standard deviation σ=√(np(1-p))

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                                    = √736

                                    = 8.5790

probability = P(X>70.5)

                   = P(Z>-1.11)

                    = 1-P(Z<-1.11)

                    = 1-0.1335

                    = 0.8665

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3 years ago
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