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olchik [2.2K]
3 years ago
13

two friends, Bob and Ben , each buy one lottery ticket. Each ticket contains six numbers from a total of 100 numbers (0-99). But

uses the numbers 1,2, 3, 4, 5, 6, and Ben chooses the numbers 39, 45, 66, 72, 74, 89. Who has a higher probability of winning
Mathematics
1 answer:
Anastaziya [24]3 years ago
7 0
I would say Ben because the chance of the numbers being 1,2,3,4,5, 6 would be extremely low
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For the geometric sequence of a1=2 and r=2 find a5
Brrunno [24]

Answer:

a_5 = 32

Step-by-step explanation:

The nth term for the geometric sequence is given by:

a_n = a_1 \cdot r^{n-1}

where,

a_1 is the first term

r is the common ratio

n is the number of terms.

As per the statement:

For the geometric sequence of a_1=2 and r=2

We have to find a_5

for n = 5;

a_5=a_1 \cdot r^{n-1}

Substitute the given values we have;

a_5 = 2 \cdot 2^4 = 2 \cdot 16

⇒a_5 = 32

Therefore, the value of a_5 is, 32

3 0
3 years ago
Jack divided 1,826 by to get a quotient of 18.265
lianna [129]

Answer:

its 100

Step-by-step explanation:

7 0
2 years ago
Help please!! How do I solve this
egoroff_w [7]
This is an exponential equation. We will solve in the following way. I do not have special symbols, functions and factors, so I work in this way
 2 on (2x) - 5 2 on x + 4=0 =>. (2 on x)2 - 5 2 on x + 4=0  We will replace expression ( 2 on x) with variable t => 2 on x=t  =. t2-5t+4=0 => This is quadratic equation and I solve this in the folowing way => t2-4t-t+4=0 =>     t(t-4) - (t-4)=0 => (t-4) (t-1)=0 => we conclude t-4=0 or t-1=0 => t'=4 and t"=1 now we will return t' => 2 on x' = 4 => 2 on x' = 2 on 2 => x'=2 we do the same with t" => 2 on x" = 1 => 2 on x' = 2 on 0 => x" = 0 ( we know that every number on 0 gives 1). Check 1: 2 on (2*2)-5*2 on 2 +4=0 =>                   2 on 4 - 5 * 4+4=0 => 16-20+4=0 =. 0=0 Identity proving solution. 
Check 2:   2 on (2*0) - 5* 2 on 0 + 4=0 => 2 on 0 - 5 * 1 + 4=0 => 
1-5+4=0 => 0=0  Identity provin solution.
5 0
3 years ago
How can I find the exact distance between the points(√7,-√2)and (4√7,5√2)
chubhunter [2.5K]
\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{ \sqrt{7}}}\quad ,&{{ -\sqrt{2}}})\quad 
%  (c,d)
&({{4\sqrt{7}}}\quad ,&{{ 5\sqrt{2}}})
\end{array}~~~
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\


\bf d=\sqrt{[4\sqrt{7}-\sqrt{7}]^2~+~[5\sqrt{2}-(-\sqrt{2})]^2}
\\\\\\
d=\sqrt{(4\sqrt{7}-\sqrt{7})^2~+~(5\sqrt{2}+\sqrt{2})^2}\implies d=\sqrt{(3\sqrt{7})^2~+~(6\sqrt{2})^2}
\\\\\\
d=\sqrt{3^2\cdot 7~~+~~6^2\cdot 2}\implies d=\sqrt{63+72}\implies d=\sqrt{135}
\\\\\\
\begin{cases}
135=5\cdot 3\cdot 3\cdot 3\\
\qquad 5\cdot 3^2\cdot 3\\
\qquad 15\cdot 3^2
\end{cases}\implies d=\sqrt{15\cdot 3^2}\implies d=3\sqrt{15}
8 0
3 years ago
Imagine a regression line that relates y = average systolic blood pressure to x = age. The average blood pressure for people 40
mart [117]

Answer:

2.0

Step-by-step explanation:

x = age

y = average systolic blood pressure

x₁ = 40 years old, y₁ = 110 systolic blood pressure

x₂ = 50 years old, y₂ = 130 systolic blood pressure

\text{Slope of a line}=m=\frac{y_2-y_1}{x_2-x_1}\\\Rightarrow m= \frac{130-110}{50-40}\\\Rightarrow\frac{20}{10}\\\Rightarrow m= 2.0

∴ Slope of the regression line is 2.0

4 0
3 years ago
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