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3 years ago

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:

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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What are the prime factors of 96prime factors of 144

notka56 [123]

96 prime factors (2•2•2•2•2•3)

144 prime factors (2•2•2•2•3•3)

Actual factor of 96 (1,2,34,6,8,12,16,24,32,48,96)

Actual factors of 144 (1,2,3,4,6,8,9,12,16,18,24,36,48,72,144)

5 0

2 years ago

Two competing gyms each offer childcare while parents work out Gym A charges $9.00 per hour of childcare. Gym B

emmainna [20.7K]

Answer:

They charge an equal amount of money each hour.

7 0

3 years ago

Read 2 more answers

I’ve been stuck on this question since beginning of my freshman year! Someone please explain how to do this please??!

dexar [7]

Hi!

There might be different variations into how anyone would approach this problem but this is by far an easy way for me.

In order to solve fractional relationships with a variable, a perfect way to solve them would be to cross multiply and make them equal to each other.

You see the part '3y+12', and when you criss cross over to the other side of the equation, you get three. Multiply that together.

When you see the part '6', when you glide diagonally, you find '4y'. Multiply this together as well. Make them equal to each other.

(<em>This is how you do cross multiplication.)</em>

You should get something like this:

3(3y+12)=6(4y) Distribute the three on the left side and multiply. Do the same on the right.

9y+36=24y Now, you can combine like terms by subtracting 9y to the other side.

36=15y Isolate y and divide it by 15.

y=2.4

I was unclear of the answer, so I plugged in 2.4 into the original equation where the y variable was, and got the right answer, so 2.4 should be the correct one no matter how you got it.

I hope this helped!

8 0

2 years ago

What is the sum of the first 30 terms of the arithmetic series 27,32,37,42,47

AlladinOne [14]

Answer:

2985

Step-by-step explanation:

The formula for the sum of an arithmetic series is given by the formula:

$S=\frac{k}{2}(a+x_k)$

Where k is the number of terms, a is the first term, and x_k is the last term. In this case, the last term is the 30th term because we are finding the sum of the first 30 terms.

So, we need to find the 30th term. To do so, we can write an explicit formula for our sequence.

The standard form for an arithmetic sequence is given by the formula:

$x_n=a+d(n-1)$

Where a is the initial term and d is the common difference.

From our sequence, we can see that the initial term a is 27. The common difference is 5 because each term is 5 greater than the previous one.

So, our equation is:

$x_n=27+5(n-1)$

So, to find the 30th term, substitute 30 for n:

$x_{30}=27+5(30-1)$

Subtract:

$x_{30}=27+5(29)$

Multiply:

$x_{30}=27+145$

Add:

$x_{30}=172$

So, the 30th term is 172.

Now, substitute this into our original sum formula:

$S=\frac{k}{2}(a+x_k)$

Substitute 30 for k (the amount of terms), 27 for a (the first term), and 172 for x_k (the 30th and last term). So:

$S=\frac{30}{2}(27+172)$

Reduce and add:

$S=15(199)$

Multiply:

$S=2985$

So, the sum of the first 30 terms is 2985.

3 0

3 years ago

What is the surface area of this design 5,8,4,8,4 inch

Gwar [14]

Answer:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Step-by-step explanation:

5 0

2 years ago