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3 years ago

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A smalltown family has two children, of whom at least one is a boy. what is the chance that both children are boys

1 answer:

Deffense [45]3 years ago

3 0

If we know that one of the children MUST be a boy, than I believe it is a fifty percent chance that the other child would be a boy. You have two things that can happen— one being the child being a boy and the other is it being a girl. Therefore, the answer should be 50%.

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Pete borrowed $400 for 1 year. He paid back a total of $440. What was the interest rate per year?

OleMash [197]

I=PRT/100

1. Make R (rate) subject

R/100= I/PT

2. Substitute and calculate

r/100= i/pt

r/100= 40/400 × 1

(<em>4</em><em>0</em><em> </em><em>i</em><em>s</em><em> </em>from 440-400.<em>T</em><em>h</em><em>e</em><em> </em><em>i</em><em>n</em><em>t</em><em>e</em><em>r</em><em>e</em><em>s</em><em>t</em>)

r/100= 0.1

r/100×100= 0.1×100

r=10% (interest rate per year)

To confirm

I=PRT

I= 400×10/100×1

I= $40 (Interest)

5 0

3 years ago

Read 2 more answers

Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi

anyanavicka [17]

Question:

Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi27π27, pi cm^3 3 start superscript, 3, end superscript of melted purple liquid. The radius of the cone is 333 cm. What is the height of the cone?

Answer:

The height of the cone is $9 \ cm$

Explanation:

It is given that the radius of the cone is $3 \ cm$

The volume of the cone is $27\pi$

The height of the cone can be determine using the formula,

$V=\frac{1}{3} \pi r^{2} h$

Substituting the values $V=27 \pi$ and $r=3$ , we get,

$27 \pi=\frac{1}{3} \pi(3)^{2} h$

Multiplying both sides by 3, we have,

$81 \pi= 9\pi h$

Dividing both sides by $9 \pi$ , we have,

$9=h$

Thus, the height of the cone is $9 \ cm$

4 0

3 years ago

At what values of x does f(x) = x^3 - 2x^2 -4x+1 satisfy the mean value theorwm on [0,1]

denis-greek [22]

Answer:

x=1/3

Step-by-step explanation:

A function f is given as

$f(x) = x^3-2x^2-4x+1$ in the interval [0,1]

This function f being an algebraic polynomial is continuous in the interval [0,1] and also f is differntiable in the open interval (0,1)

Hence mean value theorem applies for f in the given interval

$f(1) = 1-2-4+1 = -4\\f(0) = 1$

The value

$\frac{f(1)-f(0)}{1-0} =\frac{-4-1}{1} =-5$

Find derivative for f

$f'(x) = 3x^2-4x-4$

Equate this to -5 to check mean value theorem

$3x^2-4x-4=-5\\3x^2-4x+1=0\\\\(x-1)(3x-1) =0\\x= 1/3 : x = 1$

We find that 1/3 lies inside the interval (0,1)

4 0

3 years ago

When is it helpful to convert from point-slope to slope-intercept form?

Lena [83]

Answer:

Point slope form is to find the coordinates of the point on the line, whereas slope intercept gives you the slope plus y-intercept

Step-by-step explanation:

5 0

3 years ago

Steven tiene un tapete rectangular con un perímetro de 16 pies.y el ancho del tapete es 5 pies Cual es la longitud del tapete? n

Sunny_sXe [5.5K]

Answer:

$l = 3\,ft$

Step-by-step explanation:

La ecuación de perímetro del tapete es (The equation of perimeter of the carpet is):

$p = 2\cdot (w + l)$

Donde (Where):

$w$ - Ancho (Width)

$l$ - Longitud (Length)

La longitud se determina por despeje (The length is determined by clearing it):

$l = \frac{p}{2} - w$

$l = \frac{16\,ft}{2} - 5\,ft$

$l = 3\,ft$

8 0

3 years ago