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4 years ago

If a couple plans to have seven children, what is the probability that there will be at least one boy?

Mathematics

2 answers:

jolli1 [7]4 years ago

8 0

1/2 chance of one baby being a boy
1/2*7
7:2 chance

tresset_1 [31]4 years ago

7 0

A 3 1/2 chance it will be a boy

(I just put 7 in half)

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How do you graph X>=4y?

OLga [1]

Answer:

$x\geq 4y\\y\leq \frac{x}{4}$

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3 years ago

What is the slope of the line passing through (1, 2) and (3, 3)?

enot [183]

Answer:

Slope is 1/2

Step-by-step explanation:

Using the slope formula y₂-y₁/x₂-x₁

(x₁,y₁) and (x₂,y₂) → (1,2) and (3,3)

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3 years ago

Find the center and the radius of the circle defined by the equation x^2-8x+y+12y+36=0

choli [55]

Hello,
center is (4,-6)
radius=4
since
$x^2-8x+y^2+12y+36=0\\

x^2-2*4x+16-16+y^2+2*6y+36=0\\

(x-4)^2+(y+6)^2=4^2

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3 0

3 years ago

If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by

PIT_PIT [208]

Answer:

The family of possible values for $p$ are:

$(-\infty, -4) \,\cup \,(7, +\infty)$

Step-by-step explanation:

By Linear Algebra, we can calculate the angle by definition of dot product:

$\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|}$ (1)

Where:

$\theta$ - Angle between vectors, in sexagesimal degrees.

$\|\vec a\|, \|\vec b \|$ - Norms of vectors $\vec {a}$ and $\vec{b}$

If $\theta$ is acute, then the cosine function is bounded between 0 a 1 and if we know that $\vec {a} = (p, 3, -7)$ and $\vec {b} = (p, -p, 4)$ , then the possible values for $p$ are:

Minimum ( $\cos \theta = 0$ )

$\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} > 0$

Maximum ( $\cos \theta = 1$ )

$\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} < 1$

With the help of a graphing tool we get the family of possible values for $p$ are:

$(-\infty, -4) \,\cup \,(7, +\infty)$

7 0

3 years ago

Hey guys help my please !!Q 4,6,7

padilas [110]

Q4, 4y²=60
y=√15 ( i am not sure)
q6, (5+y) ²=81
5+y=9
y=4
q7 (x+4) (x) =77
x²+4x-77=0
(x+11) (x-7) =0
x=-11(rej) or x=7
therefore ,length= 7+4=11cm
breadth=7cm

6 0

3 years ago