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ad-work [718]
3 years ago
8

Please solve the following Factor. 9w2-49

Mathematics
1 answer:
romanna [79]3 years ago
5 0

Answer:

(3w - 7)(3w + 7)

Step-by-step explanation:

The expression is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Thus

9w² - 49

= (3w)² - 7²

= (3w - 7)(3w + 7)

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WHich is the combined term of the expression given

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The amount of a chemical solution is measured to be 2 liters.
Dafna1 [17]
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3 0
3 years ago
The distribution of passenger vehicle speeds traveling on a certain freeway in California is nearly normal with a mean of 73.7 m
Schach [20]

Answer:

A) 90.32%

B) 90.11%

C) 81.546 miles per hour

D)77.93%

Step-by-step explanation:

Given data:

speed  = 73.7 miles/hour

standard deviation = 4.77 miles /hour

a) P(X< 80) = P(z< \frac{80 - 73.7}{4.77}

                   = P (z< 1.31)

                   = 0.90320  = 90.32%

b) P(60 < X< 80) = P(\frac{60 - 73.7}{4.77} < z< \frac{80 - 73.7}{4.77})

                   = P (-2.872< z< 1.31)

                   = P (z<1.31) - P(z<-2.87)

                   = 0.90320 - 0.00205

                   = 0.90115  = 90.11%

c) P(X <X) = 0.95

    z = 1.645

\frac{x - 73.7}{4.77} = 1.645

x = 81.546  miles per hour

d)P(X< 70) = P(z> \frac{70 - 73.7}{4.77})

                   = P (z> -0.775)

                   = 0. 0.7793  = 77.93%

4 0
3 years ago
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