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nadya68 [22]
1 year ago
10

Please help this is for my study guide thanks! (no rounding)

Mathematics
1 answer:
grin007 [14]1 year ago
4 0

Answer:

The volume of the cylinder is;

653.45\text{ }in^3

Explanation:

Given the figure in the attached image;

\begin{gathered} r=4\text{ in} \\ h=13\text{ in} \end{gathered}

Recall that the volume of a cylinder can be calculated using the formula;

V=\pi r^2h

Substituting the given values;

\begin{gathered} V=\pi r^2h \\ V=\pi(4)^2\times13 \\ V=653.45\text{ }in^3 \end{gathered}

Therefore, the volume of the cylinder is;

653.45\text{ }in^3

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F(x) = 10x2 + 8, evaluate f(-3).
OlgaM077 [116]

Answer:

98

Step-by-step explanation:

f(x) = 10x² + 8

= 10(-3)² + 8

= 10 (9) + 8

= 90 + 8

= 98

5 0
3 years ago
The technology company DataGenetics suggests that % of all four-digit personal identification numbers, or PIN codes, have a repe
alina1380 [7]

Answer: 0.9995

Step-by-step explanation:

Number of digits to make any code (0 to 9) = 10

If repetition is allowed , then the total number of possible four digits pin codes that can be formed= 10^4=10,000

The number of ways to make for digit code without repetition of digits =

10\times9\times8\times7=5040

The number of ways to make for digit codes having repetition =

10,000-5040=4960

Probability that a person has pin code that has repetition:-

\dfrac{4960}{10,000}=0.496

Let x be number of pin codes with repeating digits.  

Using binomial probability distribution formula ,

If the PIN codes of seven people are selected at random, then the probability that at least one of them will have repeating digits:-

P(x\geq1)=1-(P(0))\\\\=1-(^{11}C_0(0.496)^0(1-0.496)^{11})

=1-((0.496)^0(0.504)^{11})=0.999466989333\approx0.9995

Hence, the probability that at least one of them will have repeating digits = 0.9995

3 0
3 years ago
I need help does anybody know this answer asap
docker41 [41]
Replace B and small b and A by its values then multiply by 2 on both sides. You will get 42= 7h then h=6
7 0
3 years ago
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An angle measure 8 less than the measure of its supplementary angle what is the measure of each angle
kvv77 [185]

Answer:

94° and 86°

Step-by-step explanation:

'x-8' = smaller angle

'x' = larger angle

x - 8 + x = 180

2x = 188

x = 94

94 - 8 = 86

4 0
3 years ago
Without actually writing the following explain how to expand (x+3)^7 using the binomial theorem
padilas [110]

Answer:

x^{7} + 3^{7}

Step-by-step explanation:

because you put each thing to the power

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3 years ago
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