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IceJOKER [234]
2 years ago
12

What is the value of the expression 6.5 - (-7.25)?

Mathematics
1 answer:
adell [148]2 years ago
5 0

Answer:

13.75

Step-by-step explanation:

Slash and dash.  turn the both minuses into positives and add like normal.  6.5 plus 7.25 equals 13.75.

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What is the value of x?
Nikolay [14]

Answer:

5 units (you are right!)

Step-by-step explanation:

The triangles ABD and BCD are similar.

Therefore,

\frac{x}{10}=\frac{10}{4x} \\4x^{2}=100\\x^{2}=25\\x=5

I hope this helped!

6 0
2 years ago
Rewrite 81 as 3 to some power.
NikAS [45]
First, let's find all the factors of 81:

81/3=27
27/3=9
9/3=3
3/1=1

So the factors of 81 are 3,3,3,3, (the numbers by which we divided here).

This means we can write down 81 as 3*3*3*3 or 3^{4} - which is the answer to the question! (three to the power of 4)
5 0
3 years ago
Pat wants to create s rectangular playpen for her dogs in her backyard. And estimates the dogs will need 600 square feet. She al
Ira Lisetskai [31]
I found width=13.72 ft and length=43.72 ft.
Call one dimension of the rectangle x, the other will be x+30
You want an area A=600 ft^2 but A=length x width=x*(x+30)=600
Rearranging you get:
x^{2} +30x-600=0
solving this quadratic equation you get a negative solution and a positive one that gives your result.

8 0
3 years ago
The height, in inches, of a randomly chosen American woman is a normal random variable with mean μ = 64 and variance 2 = 7.84. (
Schach [20]

Answer:

Step-by-step explanation:

Given that the height in  inches, of a randomly chosen American woman is a normal random variable with mean μ = 64 and variance 2 = 7.84.

X is N(64, 2.8)

Or Z = \frac{x-64}{2.8}

a)  the probability that the height of a randomly chosen woman is between 59.8 and 68.2 inches.

=P(59.8

b) P(X\geq 59)\\= P(X\geq -1.78)\\ \\=0.9625

c) For 4 women to be height 260 inches is equivalent to

4x will be normal with mean (64*4) and std dev (2.8*4)

4x is N(266, 11.2)

P(4x>260)= \\P(Z\geq -0.53571)\\=0.7054

d) Z is N(0,1)

E(Z19) = P(Z>19)\\= 0.000

since normal distribution is maximum only between 3 std deviations form the mean on either side.

3 0
3 years ago
Find what equals to x and what equals to y
Nuetrik [128]

Answer:

x=15√2  y=90 degrees.

Step-by-step explanation:

Thanks to the Pythagorean Theorem we know that with any right triangle, A^2+B^2=C^2. In this case we can use 15^2+15^2=sqrt of 450. The square root of 450 is 15 times the square root of 2. Thus x=15√2. Now we need to find y. All angles in a triangle add up to 180 so if we have 45+45+y=180 then y=90.

3 0
2 years ago
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