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2 years ago

12

Find the measure of 44. 41 A2 43 144 970 830 *4 = [?]

1 answer:

Vera_Pavlovna [14]2 years ago

8 0

Angle 4 is 83 degrees

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The probability that a male will be colorblind is .042. Find the probabilities that in a group of 53 men, the following are true

Dvinal [7]

Answer:

See below for answers and explanations

Step-by-step explanation:

<u>Part A</u>

$\displaystyle P(X=x)=\binom{n}{x}p^xq^{n-x}\\\\P(X=5)=\binom{53}{5}(0.042)^5(1-0.042)^{53-5}\\\\P(X=5)=\frac{53!}{(53-5)!*5!}(0.042)^5(0.958)^{48}\\\\P(X=5)\approx0.0478$

<u>Part B</u>

$P(X\leq5)=P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)\\\\P(X\leq5)=\binom{53}{1}(0.042)^1(1-0.042)^{53-1}+\binom{53}{2}(0.042)^2(1-0.042)^{53-2}+\binom{53}{3}(0.042)^3(1-0.042)^{53-3}+\binom{53}{4}(0.042)^4(1-0.042)^{53-4}+\binom{53}{1}(0.042)^5(1-0.042)^{53-5}\\\\P(X\leq5)\approx0.9767$

<u>Part C</u>

$\displaystyle P(X\geq 1)=1-P(X=0)\\\\P(X\geq1)=1-(1-0.042)^{53}\\\\P(X\geq1)\approx1-0.1029\\\\P(X\geq1)\approx0.8971$

6 0

2 years ago

Graph this linear function using slope intercept: y=2x+9

masya89 [10]

I really dont know lol.

8 0

3 years ago

Jack types 162 words in 3 minutes. Jack types at a constant rate. How many words does Jack type per minute?

Arte-miy333 [17]

Answer:

54

Step-by-step explanation:

162/3 = 54

3 0

3 years ago

HEEEEELP!!!!!!!!!!!!!11 I WILL MARK BRAINLIEST kx-3y=4 4x-5y=7 k is constant and x and y are variables, for what value of k will

Studentka2010 [4]

Answer:

<h2> A. ¹²/₅</h2>

Step-by-step explanation:

There is no solution for system of equations: $a_1x+b_1y=c_1\\a_2y+b_2y=c_2$

if: $a_1=a_2\quad and\quad b_1=b_2\quad and\quad \bold{c_1\ne c_2}$

so first, we we need to transform the equations to the form where the coefficients at y will be the same:

$kx-3y=4\\ 4x-5y=7\\\\ (kx-3y)\cdot5=4\cdot5\\ (4x-5y)\cdot3=7\cdot3\\\\ 5kx-15y=20\\ 12x-15y=21$

Now we have b₁=b₂ and c₁≠c₂ so the system has no solution if a₁=a₂

5k = 12

÷5 ÷5

k = ¹²/₅

7 0

3 years ago

The volume of the prism shown is 72. in3

Vesna [10]

Answer:

24 in³

Step-by-step explanation:

The volume of a prism is given by the formula ...

V = Bh

where B is the area of the base, and h is the height.

The volume of a pyramid is given by the formula ...

V = (1/3)Bh

where B and h have the same definitions.

For a pyramid with the same B and h as a prism, the volume is 1/3 that of the prism:

(1/3) × (72 in³) = 24 in³ . . . . volume of the pyramid

8 0

3 years ago