The sum of thwo numbers is 25. their difference is 7. find the numbers
1 answer:
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The complete question in the attached figure
we know that
[the length of a circumference]=2*pi*r
for r=10 cm
[the length of a circumference]=2*pi*10-----> 62.8 cm
if 360° ( full circle) has a length of---------> 62.8 cm
x--------------------------------------> 20.42 cm
X=20.42*360/62.8-----> x+117.05°-------> x=117°
the answer is
<span>the value of x is 117</span>°
we know that
[the length of a circumference]=2*pi*r
for r=10 cm
[the length of a circumference]=2*pi*10-----> 62.8 cm
if 360° ( full circle) has a length of---------> 62.8 cm
x--------------------------------------> 20.42 cm
X=20.42*360/62.8-----> x+117.05°-------> x=117°
the answer is
<span>the value of x is 117</span>°
Answer:
Approximate probability that the number of households that use the Internet for banking in a sample of 1000 is less than or equal to 130 is less than 0.0005% .
Step-by-step explanation:
We are given that let X be the number that do some or all of their banking on the Internet.
Also; Mean, = 310/1000 or 0.31 and Standard deviation,
= 14.63/1000 = 0.01463 .
We know that Z = ~ N(0,1)
Probability that the number of households that use the Internet for banking in a sample of 1000 is less than or equal to 130 is given by P(X <= 130/1000);
P(X <=0.13) = P( <=
) = P(Z <= -12.303) = P(Z > 12.303)
Since this value is not represented in the z table as the value is very high and z table is limited to x = 4.4172.
So, after seeing the table we can say that this probability is approximately less than 0.0005% .
13,207,982,634 x⁵y⁶
Step-by-step explanation:
We understand that in Binomial Theorem, expounding of polynomial functions, we have a rule that also involves the use of Pascal's Triangle to find the Coefficients that will be used to multiply each variable as the polynomial function is multiplied by itself several times;
(3x + 7y)^11 = ₁₁C₀ (3x)¹¹(7y)⁰ + ₁₁C₁ (3x)¹⁰(7y)¹ + ₁₁C₂ (3x)⁹(7y)² + ₁₁C₃ (3x)⁸(7y)³ + ₁₁C₄ (3x)⁷(7y)⁴ + ₁₁C₅ (3x)⁶(7y)⁵ + ₁₁C₆ (3x)⁵(7y)⁶....
The 7th term in our case is;
₁₁C₆ (3x)⁵(7y)⁶
According to the attached Pascals Triangle, the coefficient for our term should be 462, so;
462 (3x)⁵(7y)⁶
= 462 (243x⁵) (117,649y⁶)
= 13,207,982,634 x⁵y⁶
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